COMPILATION OF ELECTRON CROSS SECTIONS USED BY A. V. PHELPS Please refer to these data using the sources cited for each gas. Please do not refer to any of them as "JILA cross sections", because a) the data shown here for a given gas may come from several sources that should be referred to by the respective authors names; b) in most cases no one else at JILA or NIST has approved the data or even looked at it. Reference to this data as "JILA data" could be interpreted incorrectly as indicating NIST approval and could jepordize my Web site usage. GASES COMPILED: O2, N2, CO, CO2, H2, H2O, NO, SF6, He, Ne, Ar, Xe, Na, and Mg Comments are made on cross sections from other sources for some of these and other gases. WE MAKE NO CLAIMS FOR THESE CROSS SECTIONS BEYOND THOSE STATED IN THE PAPERS WHERE THEY ARE PUBLISHED OR CITED. IN MOST CASES THESE CROSS SECTIONS WERE ASSEMBLED IN THE 1970'S AND 1980'S. IN ONLY A FEW CASES HAVE THEY BEEN MODIFIED OR TESTED SINCE THAT TIME. I DO NOT PLAN ANY UPDATES. ADDITIONS HAVE BEEN MADE WHEN CROSS SECTIONS HAVE BEEN ASSEMBLED FOR OTHER PURPOSES. SINCE THE JILA INFORMATION CENTER WAS CLOSED BY NIST, THERE IS NO ONE THERE TO HELP YOU. OPINIONS EXPRESSED ARE THOSE OF A. V. PHELPS AND DO NOT IMPLY JILA, CU, OR NIST APPROVAL. The cross sections are in 1E-16 cm2. The two-term Boltzmann code, BACKPRO, used in deriving our cross sections employs linear interpolation between points in the cross section tables. Therefore linear interpolation should be applied when using them. Except as noted below for N2, the cross sections listed in JILA Information Center Reports 26, 27, and 28 for N2, H2, and O2 should be the same as those listed here. (This aspect has not been checked in detail, so please inform me of discrepancies.) It should be kept in mind that the momentum transfer cross sections tabulated are effective values that include the effects of inelastic collisions as is appropriate for use in the two-tern spherical harmonic expansion. See, for example, Baraff and Buchsbaum, Phys. Rev. 130, 1007 (1963) and Sec. IIB of Pitchford and Phelps, Phys. Rev. A 25, 540 (1982). Where data is available, the effective Qm is set equal to the sum of the inelastic cross sections plus the elastic momentum transfer cross section. This is an approximate relation. Some of the terms used in the tables and the BACKPRO code are: QSCALE is a factor by which the input cross sections from the various sources were multiplied to get the values shown here and used in the Boltzmann equation. ENERGY LOSS is the inelastic energy loss in eV. LOWER LIMIT and UPPER LIMIT were used by BACKPRO to limit the range within which the tables were interpolated. Interpolation was the most time-consuming step in the code. EBR is a parameter used to describe the sharing of energy among the two electrons resulting from ionization. It is the parameter w in Yoshida, Phelps, and Pitchford, Phys. Rev. 27, 1345 (1983) and its choice is based on the data of Opal, Peterson, and Beaty, Phys. Rev. 55, 4100 (1971). BACKPRO is the FORTRAN code for the solution of the electron Boltzmann equation developed by Frost and Phelps, Phys. Rev. 127, 1621 (1962) and modified by Phelps and coworkers in later papers. A detailed analysis of the code as of 1975 has been given by P.H. Luft, JILA Information Center Report No. 14, October 1975. Changes since then are minimally documented, but include accounting for the electrons produced by electron impact ionization during either a spatial or temporal exponential growth. See Yoshida et al as cited above. These cross sections were derived to give a good fit to published electron transport, excitation coefficient, attachment coefficient, and ionization coefficient data for the pure gases. In many cases they have been tested satisfactorily against similar swarm data for gas mixtures, e.g., CO2 laser mixtures, H2-Ar mixtures, N2-SF6 mixtures, and atmospheric pressure dry and moist air. In several cases, e.g., He, Ar, and Xe, we have not attempted to distinguish among the various excited states and find the cross sections satisfactory for models of mixtures and of ionization and transport in the pure gases. Please refer to the published articles where possible. Also, please inform me of any errors or inconsistencies. Original file preparation 10/29/95. Last revision of file 06/24/08. A. V. Phelps, Retired JILA University of Colorado Boulder, CO 80309-0440 e-mail: avp@jila.colorado.edu General remarks on electron collision cross sections: For a recent review of electron cross sections see: T. D. Mark, Y. Hatano, and F. Linder, "Electron Collision Cross Sections" in "Atomic and molecular data for radiotherapy and radiation research" IAEA-TECDOC-799, May 1995, Chapt. 2. This chapter contains graphical compilations of cross sections for Ne, Ar, H2, H2O, CO2, CH4, and C3H8. These cross sections have not been compared to those given in this file. M. Hayashi has prepared very extensive bibliographies of papers on electron collisions with Ar, H2, O2, N2, CO, H2O, halogen molecules, hydrogen halide molecules, CO2, CH4, NH3, and PH3. Some of these reoprts contain recommended cross sections. Available reports are entitled "Bibliography of electron and photon cross sections with atoms and molecules published in the 20th century - [name of gas] -", National Institute for Fusion Research, Report NIFS-Data Series NIFS-DATA-[??]. Unfortunately, most of these cross sections are not available on the Web. The Ar results are tabulated in the accompanying file Hayashi.txt. Very extensive reviews and compilations of published electron-atom and electron-molecule cross sections have been prepared by A. Zecca, G. P. Karwasz, and Brusa, Riv. Nuovo Cimento 19, No. 3, 1-146 (1996) and G. P. Karwasz, R. S. Brusa, and A. Zecca, Riv. Nuovo Cimento 24, No. 1, 1-118 (2001) and No. 4, 1-101 (2001). Data shown are selected on the basis of “perceived quality”, but no recommended values are given. Apparently floppy disk(s?) giving tabulations can be purchased from the Italian Physical Society. I have not seen the disks, i.e., they are too expensive. Unfortunately for gas discharge modeling, the data ranges in the review papers are limited, especially for momentum transfer cross sections that can differ greatly from "total" cross sections at the higher energies. Stephen Biagi at sfb@hep.ph.liv.ac.uk has derived a sets of cross sections for electron collisions with ~ 50 different gases that are required to be consistent with electron swarm data. The ~50 gases include: N2, O2, H20, Ar, CO2, He, Ne, H2, D2, CH4, etc. Unfortunately, the tabulations of these cross sections are not available on the Web. A recent review of electron-molecule collisions is Hotop, Ruf, Allan, and Frabrikant, "Resonances and threshold phenomena in low energy electron collisions with molecules and clusters", in Advances in Atomic, Molecular and Optical Physics, (Elsevier, 2003) Vol. 49. A review of experimental integrated and differential cross section data for electron collisions with some diatomic molecules is Brunger and Buckman, Physics Reports, 357, 215 (2002). The gases discussed include H2, O2, N2, the halogens,NO, CO, and halogen halides. This data is tabulated in Landolt-Bornstein, Vol. 17, Subvol. C, pp. 35-55 (2003). Also, Vol 17, Subvol. A is concerned with electron and photon collisions with atoms, but I do not have access to this volume or its data. GENERAL WARNING TO GAS DISCHARGE MODELERS: IF AUTHORS DO NOT EXPLICITLY STATE THAT THERE IS AGREEMENT BETWEEN A) IONIZATION, EXCITATION, ATTACHMMENT (IF APPLICABLE), AND TRANSPORT COEFFICIENTS CALCULATED USING THEIR CROSS SECTIONS AND B) RELIABLE EXPERIMENTAL MEASUREMENTS OF THESE COEFFICIENTS, YOU SHOULD BE VERY SKEPTICAL OF ALL OF THEIR CROSS SECTIONS AND OF ELECTRON TRANSPORT AND REACTION COEFFICIENT RESULTS DERIVED FROM THEM. AGREEMENT WITH SWARM EXPERIMENTS SUCH AS IONIZATION COEFFICIENT, DRIFT VELOCITY, THE RATIO OF THE TRANSVERSE AND LOGITUDINAL DIFFUSION COEFFICIENT TO MOBILITY, ATTACHMENT COEFFICIENTS, AND EXCITATION COEFFICIENTS ARE CRICIAL EVIDENCE OF A RELIABLE SET OF INPUT CROSS SECTIONS FOR MODELING. FOR EACH GAS IN THIS FILE WE HAVE SUMMARIZED OUR TESTS OF THE CROSS SECTIONS AGAINST EXPERIMENTAL SWARM DATA. OXYGEN - O2 - 1978 These cross sections are those developed in Lawton and Phelps, J. Chem. Phys. 69, 1055 (1978). The agreement of the transport and reaction coefficients is good and is discussed in detail in this paper. Information Center Report No. 28 is based on the same computer files as used to assemble the following data. As of 9/28/01 I know of no reason to change the cross sections. Note that the "cross sections" listed under the heading of three-body attrachment are expressed as equivalent cross sections at an O2 density of 1 molecule/cm3. This means that the rate coefficients k and spatial attachment coefficients alpha/n calculated using BACKPRO must be multiplied by the O2 density in molecules/cm3 to obtain the equivalent of the two-body coefficients per molecule calculated for other processes, such as excitation and ionization. O2 MOMENTUM-TRANSFER CROSS SECTION ENERGY Effective Qm - Defined in introduction 1 0.0000 0.3500 2 0.0010 0.3500 3 0.0020 0.3600 4 0.0030 0.4000 5 0.0050 0.5000 6 0.0070 0.5800 7 0.0085 0.6400 8 0.0100 0.7000 9 0.0150 0.8700 10 0.0200 0.9900 11 0.0300 1.2400 12 0.0400 1.4400 13 0.0500 1.6000 14 0.0700 2.1000 15 0.1000 2.5000 16 0.1200 2.8000 17 0.1500 3.1000 18 0.1700 3.3000 19 0.2000 3.6000 20 0.2500 4.1000 21 0.3000 4.5000 22 0.3500 4.7000 23 0.4000 5.2000 24 0.5000 5.7000 25 0.7000 6.1000 26 1.0000 7.2000 27 1.2000 7.9000 28 1.3000 7.9000 29 1.5000 7.6000 30 1.7000 7.3000 31 1.9000 6.9000 32 2.1000 6.6000 33 2.2000 6.5000 34 2.5000 6.1000 35 2.8000 5.8000 36 3.0000 5.7000 37 3.3000 5.5000 38 3.6000 5.4500 39 4.0000 5.5000 40 4.5000 5.5500 41 5.0000 5.6000 42 6.0000 6.0000 43 7.0000 6.6000 44 8.0000 7.1000 45 10.0000 8.0000 46 12.0000 8.5000 47 15.0000 8.8000 48 17.0000 8.7000 49 20.0000 8.6000 50 25.0000 8.2000 51 30.0000 8.0000 52 50.0000 7.7000 53 75.0000 6.8000 54 100.0000 6.5000 55 150.0000 6.7000 56 200.0000 6.0000 57 300.0000 4.9000 58 500.0000 3.6000 59 700.0000 2.9000 60 1000.0000 2.1200 61 1500.0000 1.4800 62 2000.0000 1.1400 63 3000.0000 0.7900 64 5000.0000 0.5100 65 7000.0000 0.3800 66 10000.0000 0.2800 O2 THREE-BODY ATTACHMENT ENERGY LOSS = 0.000 , LOWER LIMIT = 0.000 , UPPER LIMIT = 1.058 , QSCALE = 1.000000 (QSCALE USED ONLY FOR RECONSTRUCTING INPUT DATA) ENERGY CROSS SECTION 1 0.0000 0.0000 2 0.0580 0.0000 3 0.0730 5.6E-21 4 0.0830 18.0E-21 5 0.0890 4.2E-21 6 0.0950 8.4E-21 7 0.1030 18.0E-21 8 0.1090 0.0000 9 0.1500 0.0000 10 0.1700 0.0000 11 0.2000 0.0000 12 0.2100 3.56E-21 13 0.2300 0.0000 14 0.3200 0.0000 15 0.3300 2.30E-21 16 0.3500 0.0000 17 0.4400 0.0000 18 0.4500 1.45E-21 19 0.4700 0.0000 20 0.5600 0.0000 21 0.5700 1.1E-21 22 0.5900 0.0000 23 0.6800 0.0000 24 0.6900 8.0E-22 25 0.7100 0.0000 26 0.7900 0.0000 27 0.8000 7.0E-22 28 0.8200 0.0000 29 0.9000 0.0000 30 0.9100 5.5E-22 31 0.9300 0.0000 32 1.0200 0.0000 33 1.0300 4.2E-22 34 1.0500 0.0000 35 1.5000 0.0000 36 10000.0000 0.0000 O2 TWO-BODY ATTACHMENT ENERGY LOSS = 0.000 , LOWER LIMIT = 0.000 , UPPER LIMIT = 100.001 , QSCALE = 1.200000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 4.4000 0.0000 3 4.9000 0.0000 4 5.3800 0.0023 5 5.8600 0.0072 6 6.1000 0.0108 7 6.4800 0.0138 8 6.7700 0.0152 9 7.0500 0.0156 10 7.3000 0.0148 11 7.5300 0.0131 12 7.7700 0.0110 13 8.0000 0.0084 14 8.2500 0.0054 15 8.7300 0.0028 16 9.2000 0.0014 17 9.6800 0.0008 18 10.1500 0.0008 19 11.3500 0.0008 20 10000.0000 0.0000 O2 SINGL LEVEL ROT PKQ FOR 300K ENERGY LOSS = 0.020 , LOWER LIMIT = 0.026 , UPPER LIMIT = 1.677 , QSCALE = 1.000000 ENERGY CROSS SECTION ENERGY CROSS SECTION 1 0.0000 0.0000 2 0.0067 0.0000 3 0.0700 0.0000 4 0.0800 0.0054 5 0.1000 0.0000 6 0.2000 0.0000 7 0.2100 0.0216 8 0.2200 0.0000 9 0.3200 0.0000 10 0.3300 0.0384 11 0.3500 0.0000 12 0.4400 0.0000 13 0.4500 0.0540 14 0.4700 0.0000 15 0.5600 0.0000 16 0.5700 0.0672 17 0.5900 0.0000 18 0.6800 0.0000 19 0.6900 0.0804 20 0.7100 0.0000 21 0.7900 0.0000 22 0.8000 0.0936 23 0.8100 0.0000 24 0.9000 0.0000 25 0.9100 0.0840 26 0.9300 0.0000 27 1.0200 0.0000 28 1.0300 0.0720 29 1.0500 0.0000 30 1.1300 0.0000 31 1.1400 0.0468 32 1.1600 0.0000 33 1.2300 0.0000 34 1.2300 0.0600 35 1.2600 0.0000 36 1.3400 0.0000 37 1.3500 0.0360 38 1.3700 0.0000 39 1.4400 0.0000 40 1.4500 0.0240 41 1.4700 0.0000 42 1.5400 0.0000 43 1.5500 0.0120 44 1.5700 0.0000 45 1.6400 0.0000 46 1.6500 0.0048 47 1.6700 0.0000 48 10000.0000 0.0000 O2 V=1 LINDER AND SCHMIDT WITH SPLIT PK ENERGY LOSS = 0.190 , LOWER LIMIT = 0.181 , UPPER LIMIT = 5.005 , QSCALE = 2.500000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 0.1900 0.0000 3 0.2000 0.0010 4 0.2100 0.0010 5 0.2300 0.0000 6 0.3200 0.0000 7 0.3300 0.4150 8 0.3500 0.0000 9 0.4400 0.0000 10 0.4500 1.3500 11 0.4700 0.0000 12 0.5600 0.0000 13 0.5700 1.8500 14 0.5900 0.0000 15 0.6800 0.0000 16 0.6900 1.6500 17 0.7100 0.0000 18 0.7900 0.0000 19 0.8000 1.0000 20 0.8200 0.0000 21 0.9000 0.0000 22 0.9100 0.6000 23 0.9300 0.0000 24 1.0200 0.0000 25 1.0300 0.2850 26 1.0500 0.0000 27 1.1300 0.0000 28 1.1400 0.1125 29 1.1600 0.0000 30 1.2300 0.0000 31 1.2400 0.0475 32 1.2600 0.0000 33 1.3400 0.0000 34 1.3500 0.0165 35 1.3700 0.0000 36 1.4400 0.0000 37 1.4500 0.0055 38 1.4700 0.0000 39 1.5400 0.0000 40 1.5500 0.0019 41 1.5700 0.0000 42 1.6300 0.0000 43 1.6500 0.0006 44 1.6700 0.0000 45 3.5000 0.0000 46 4.0000 0.0000 47 5.0000 0.0000 48 10000.0000 0.0000 O2 V=2 LINDER AND SCHMIDT X2 ENERGY LOSS = 0.380 , LOWER LIMIT = 0.439 , UPPER LIMIT = 5.005 , QSCALE = 1.250000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 0.3800 0.0000 3 0.4400 0.0000 4 0.4500 0.0000 5 0.4700 0.0000 6 0.5600 0.0000 7 0.5700 0.1400 8 0.5900 0.0000 9 0.6800 0.0000 10 0.6900 0.4150 11 0.7100 0.0000 12 0.7900 0.0000 13 0.8000 0.5350 14 0.8200 0.0000 15 0.9000 0.0000 16 0.9100 0.4650 17 0.9300 0.0000 18 1.0200 0.0000 19 1.0300 0.3150 20 1.0500 0.0000 21 1.1300 0.0000 22 1.1400 0.2000 23 1.1600 0.0000 24 1.2300 0.0000 25 1.2400 0.0950 26 1.2600 0.0000 27 1.3400 0.0000 28 1.3500 0.0400 29 1.3700 0.0000 30 1.4400 0.0000 31 1.4500 0.0185 32 1.4700 0.0000 33 1.5400 0.0000 34 1.5500 0.0085 35 1.5700 0.0000 36 1.6300 0.0000 37 1.6500 0.0034 38 1.6700 0.0000 39 3.5000 0.0000 40 4.0000 0.0000 41 5.0000 0.0000 42 10000.0000 0.0000 O2 V=3 LINDER AND SCHMIDT X2 WITH 9EV RES FRM WONG-TRAJMAR ENERGY LOSS = 0.570 , LOWER LIMIT = 0.671 , UPPER LIMIT = 44.995 , QSCALE = 1.250000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 0.5700 0.0000 3 0.6800 0.0000 4 0.6900 0.0037 5 0.7100 0.0000 6 0.7900 0.0000 7 0.8000 0.0215 8 0.8200 0.0000 9 0.9000 0.0000 10 0.9100 0.0900 11 0.9300 0.0000 12 1.0200 0.0000 13 1.0300 0.1200 14 1.0500 0.0000 15 1.1300 0.0000 16 1.1400 0.1150 17 1.1600 0.0000 18 1.2300 0.0000 19 1.2400 0.0950 20 1.2600 0.0000 21 1.3400 0.0000 22 1.3500 0.0550 23 1.3700 0.0000 24 1.4400 0.0000 25 1.4500 0.0300 26 1.4700 0.0000 27 1.5400 0.0000 28 1.5500 0.0165 29 1.5700 0.0000 30 1.6300 0.0000 31 1.6500 0.0080 32 1.6700 0.0000 33 3.5000 0.0000 34 4.0000 0.0000 35 5.0000 0.0000 36 6.0000 0.0125 37 7.0000 0.0363 38 8.0000 0.0588 39 9.0000 0.0750 40 10.0000 0.0675 41 11.0000 0.0563 42 12.0000 0.0475 43 13.0000 0.0300 44 14.0000 0.0175 45 15.0000 0.0088 46 20.0000 0.0000 47 45.0000 0.0000 48 10000.0000 0.0000 O2 V=4 LINDER AND SCHMIDT X2 WITH 9EV RES FRM WONG-TRAJMAR ENERGY LOSS = 0.750 , LOWER LIMIT = 0.748 , UPPER LIMIT = 14.990 , QSCALE = 1.250000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 0.7500 0.0000 3 0.7900 0.0000 4 0.8000 0.0015 5 0.8200 0.0000 6 0.9000 0.0000 7 0.9100 0.0055 8 0.9300 0.0000 9 1.0200 0.0000 10 1.0300 0.0003 11 1.0500 0.0000 12 1.1300 0.0000 13 1.1400 0.0165 14 1.1600 0.0000 15 1.2300 0.0000 16 1.2400 0.0315 17 1.2600 0.0000 18 1.3400 0.0000 19 1.3500 0.0335 20 1.3700 0.0000 21 1.4400 0.0000 22 1.4500 0.0285 23 1.4700 0.0000 24 1.5400 0.0000 25 1.5500 0.0215 26 1.5700 0.0000 27 1.6300 0.0000 28 1.6500 0.0165 29 1.6700 0.0000 30 6.0000 0.0000 31 7.0000 0.0275 32 8.0000 0.0350 33 9.0000 0.0413 34 10.0000 0.0462 35 11.0000 0.0313 36 12.0000 0.0250 37 13.0000 0.0175 38 14.0000 0.0088 39 15.0000 0.0000 40 10000.0000 0.0000 O2 SING DELTA FROM LINDER-SCHMIDT AND TRAJMAR ET AL ENERGY LOSS = 0.977 , LOWER LIMIT = 0.929 , UPPER LIMIT = 100.001 , QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 0.9770 0.0000 3 1.5000 0.0058 4 2.0000 0.0153 5 3.0000 0.0380 6 3.5000 0.0490 7 4.0000 0.0570 8 5.0000 0.0740 9 5.6200 0.0825 10 5.9100 0.0862 11 6.1900 0.0888 12 6.5300 0.0908 13 6.9900 0.0914 14 7.6100 0.0891 15 7.8900 0.0863 16 8.9600 0.0768 17 10.0400 0.0679 18 13.0000 0.0527 19 15.1000 0.0455 20 17.5000 0.0387 21 20.5000 0.0324 22 24.9000 0.0256 23 30.9000 0.0196 24 41.0000 0.0137 25 45.0000 0.0120 26 10000.0000 0.0000 O2 B SINGLET SIGMA FROM LINDER-SCHMIDT AND TRAJMAR ET AL ENERGY LOSS = 1.627 , LOWER LIMIT = 1.496 , UPPER LIMIT = 100.001 , QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 1.6270 0.0000 3 2.0000 0.0026 4 3.0000 0.0097 5 3.5000 0.0133 6 4.0000 0.0149 7 5.0000 0.0182 8 5.6900 0.0194 9 6.5400 0.0194 10 7.3400 0.0191 11 8.4100 0.0183 12 9.2600 0.0174 13 10.0000 0.0160 14 13.0000 0.0130 15 14.9000 0.0130 16 17.0000 0.0130 17 19.4000 0.0125 18 20.7000 0.0125 19 22.5000 0.0110 20 24.0000 0.0100 21 28.0000 0.0080 22 35.1000 0.0063 23 41.9000 0.0018 24 45.1000 0.0005 25 1000.0000 0.0000 26 10000.0000 0.0000 O2 V=1 9V RES OF WONG ET AL NORM TO TRAJMAR ET AL ENERGY LOSS = 0.190 , LOWER LIMIT = 3.999 , UPPER LIMIT = 44.995 , QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 4.0000 0.0000 3 5.0000 0.0420 4 6.0000 0.1000 5 7.0000 0.1760 6 8.0000 0.2310 7 9.0000 0.2470 8 10.0000 0.2340 9 11.0000 0.1860 10 12.0000 0.1430 11 13.0000 0.1020 12 14.0000 0.0710 13 15.0000 0.0400 14 20.0000 0.0100 15 45.0000 0.0000 16 10000.0000 0.0000 O2 V=2 9V RES OF WONG ET AL NORM TO TRAJMAR ET AL ENERGY LOSS = 0.380 , LOWER LIMIT = 3.999 , UPPER LIMIT = 44.995 , QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 4.0000 0.0000 3 5.0000 0.0280 4 6.0000 0.0400 5 7.0000 0.0730 6 8.0000 0.0940 7 9.0000 0.1100 8 10.0000 0.1090 9 11.0000 0.0930 10 12.0000 0.0730 11 13.0000 0.0510 12 14.0000 0.0280 13 15.0000 0.0130 14 20.0000 0.0050 15 45.0000 0.0000 16 10000.0000 0.0000 O2 4.5 LOSS ENERGY LOSS = 4.500 , LOWER LIMIT = 4.386 , UPPER LIMIT = 14.990 , QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 4.5000 0.0000 3 4.8000 0.0030 4 5.0000 0.0090 5 5.5000 0.0300 6 6.0000 0.0650 7 6.5000 0.0850 8 7.0000 0.0950 9 7.5000 0.1000 10 8.0000 0.1000 11 9.0000 0.0850 12 10.0000 0.0700 13 12.0000 0.0450 14 15.0000 0.0000 15 50.0000 0.0000 16 10000.0000 0.0000 O2 6.0 LOSS ENERGY LOSS = 6.000 , LOWER LIMIT = 5.882 , UPPER LIMIT = 100.001 , QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 6.0000 0.0000 3 7.0000 0.1500 4 7.8000 0.2300 5 9.0000 0.2300 6 10.0000 0.2100 7 12.0000 0.1650 8 15.0000 0.1050 9 17.0000 0.0650 10 20.0000 0.0475 11 45.0000 0.0190 12 10000.0000 0.0000 O2 8.4 LOSS HAYASHI ABOVE 20EV - CHANTRY BELOW ENERGY LOSS = 8.400 , LOWER LIMIT = 8.282 , UPPER LIMIT = 100.001 , QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 8.4000 0.0000 3 9.4000 1.0000 4 30.0000 0.9000 5 50.0000 0.7000 6 100.0000 0.5400 7 150.0000 0.3200 8 200.0000 0.2700 9 300.0000 0.1700 10 500.0000 0.1090 11 700.0000 0.0800 12 1000.0000 0.0580 13 1500.0000 0.0420 14 2000.0000 0.0330 15 3000.0000 0.0240 16 5000.0000 0.0160 17 7000.0000 0.0120 18 10000.0000 0.0090 O2 9.97 LOSS TRAJMAR ENERGY LOSS = 10.000 , LOWER LIMIT = 9.778 , UPPER LIMIT = 100.001 , QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 10.0000 0.0000 3 20.0000 0.0130 4 30.0000 0.0260 5 40.0000 0.0400 6 50.0000 0.0500 7 60.0000 0.0600 8 70.0000 0.0650 9 80.0000 0.0700 10 100.0000 0.0700 11 120.0000 0.0500 12 150.0000 0.0400 13 170.0000 0.0350 14 200.0000 0.0300 15 300.0000 0.0200 16 500.0000 0.0120 17 700.0000 0.0080 18 1000.0000 0.0050 19 1500.0000 0.0000 20 2000.0000 0.0000 21 3000.0000 0.0000 22 5000.0000 0.0000 23 7000.0000 0.0000 24 10000.0000 0.0000 O2 IONIZATION ENERGY LOSS = 12.060 , LOWER LIMIT = 11.894 , UPPER LIMIT = 100.001 , WEIGHT = 31.740000, EBR= 17.400000, QSCALE= 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 12.0600 0.0000 3 13.0000 0.0230 4 18.0000 0.2000 5 28.0000 0.7400 6 38.0000 1.3200 7 48.0000 1.8000 8 58.0000 2.1000 9 68.0000 2.3300 10 78.0000 2.5000 11 88.0000 2.6000 12 100.0000 2.7000 13 150.0000 2.7000 14 200.0000 2.5000 15 300.0000 2.1700 16 500.0000 1.6600 17 700.0000 1.3500 18 1000.0000 1.0400 19 1500.0000 0.7600 20 2000.0000 0.6000 21 3000.0000 0.4200 22 5000.0000 0.2700 23 7000.0000 0.2000 24 10000.0000 0.1400 O2 130 NM LINE MUMMA-ZIPF ENERGY LOSS = 14.700 , LOWER LIMIT = 14.500 , UPPER LIMIT = 100.001 , QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 14.7000 0.0000 3 20.0000 0.0085 4 25.0000 0.0160 5 30.0000 0.0225 6 40.0000 0.0280 7 60.0000 0.0370 8 70.0000 0.0380 9 80.0000 0.0390 10 100.0000 0.0380 11 500.0000 0.0000 12 10000.0000 0.0000 THE FOLLOWING IS NOT PART OF THE ABOVE 1978 SET OF CROSS SECTIONS: O2 DISSOCIATION - BASED ON TABLE I OF P. C. Cosby, J. Chem. Phys. 98, 9560 (1993). For use in BACKPRO one would need to extend this to the maximum energy of the calculation. I haven't looked to see what would make the best cross section to use as a guide - probably the 9.97 eV loss cross section. ENERGY CROSS SECTION 0 0 8 0 13.5 0.22 18.5 0.53 21 0.56 23.5 0.52 28.5 0.59 33.5 0.66 38.5 0.61 48.5 0.53 58.5 0.44 73.5 0.37 98.5 0.33 148.5 0.30 198.5 0.29 A rough estimate of the dissociation of O2 by electrons at high energies is to use the cross section and rate coefficient for the "O2 8.4 LOSS" process given in the above tabe. This approximation will considerably over estimate the dissociation according to Cosby at below 30 eV and most usual E/n. The similarity to the estimated Schuman-Runge excitation in the 1978 set is not surprising, but the discrepancy at energies below 30 eV is very bothersome. A way to calculate the rate coefficients for dissociation of O2 by electrons is to use the "O2 DISSOCIATION" cross section listed above by first multiplying it by, for example, 1E-4; using BACKPRO or equivalent to calculate rate coefficients for the combined set of cross sections; and multiplying the rate coefficient for dissociation by 1E4. This procedure preserves the energy balance, transport coefficients, and ionization coefficients of the 1978 set. ELECTRON ATTACHMENT TO EXCITED O2 These notes were assembled in response to an inquiry as to the data available data on electron attachment to excited O2. 1) The dissociative attachment cross section for O2a-state appears to have been measured most recently by Jaffke, Meinke, Hashemi, Christophorou, and Illenberger, Chem. Phys. Lett. 193, 62 (1992). The cross section is roughly a Gaussian with a peak magnitude of 5.7E-18 cm^2 at 5.3 eV. Other measurements give significantly lower peak cross sections of 4.6+-1.3E-18 (Burrow, 1973) and 3.8+-1.2E-18 cm^2 (Belic and Hall, 1981). Note that if the Belic and Hall value for the fractional excitation of the O2a-state were high, e.g., if they missed gas density reduction because of possible gas heating and flow effects, their cross section would be low. I suggest using a peak value of 5E-18 cm^2. Note that some of the experiments show a second peak in the dissociative attachment cross section from the O2a-state. It peaks at 7.5 eV and has a magnitude of 1.7E-18 cm^2. A very rough estimate of the effects of including dissociative attachment to the O2a-state is a factor of two increase in the rate of O formation at typical discharge electron average energies. The rate coefficient for this process would decrease as the average electron energy is decreased. 2) One should also consider dissociative attachment from the b-state. Unfortunately there appear to be no cross sections. I would expect the cross section to be roughly a Gaussian shifted down in energy from that of the O2a-state dissociative attachment curve by about the difference in the O2a- and O2b-state thresholds of 0.65 eV. It should be larger in magnitude by a significant factor because of a higher survival factor. I would suggest a peak magnitude of 10E-17 cm^2, which is close to the maximum allowed for a peak of reasonable energy width. Apparently, the dissociative process is expected to have a second peak at about 6.9 eV. I would guess this peak to be roughly 5E-18 cm^2. Overall these processes mean perhaps a factor of 1.5 increase in O formation at high O2b-state concentration. Again, the rate coefficient for this process would decrease as the average electron energyHas is decreased. 3) Dissociative attachment to vibrationally excited O2 has been measured, but probably theory is more useful. See O'Malley, Phys. Rev. 155, 59 (1967). Because of the fast relaxation of vibrationally excited O2 by O, this may not increase the O- formation significantly. 4) Three-body attachment of electrons to the O2a-state molecules has been predicted theoretically to be as much as 1000 times smaller than that for O2X-state molecules. See Aleksandrov, Chem. Phys. Lett. 212, 409 (1993). This will result in a some decrease in the calculated overall three-body attachment rate coefficient when the O2a-state fraction becomes significant. REVISION OF TOTAL AND PARTIAL IONIZATION CROSS SECTIONS: See Straub et al, Phys. Rev. A 54, 2146 (1996) and Stebbings and Lindsay, J. Chem. Phys. 114, 4741 (2001). RECENT DEVELOPMENTS: Stephen Biagi at sfb@hep.ph.liv.ac.uk has derived a set of electron-O2 cross sections that differ somewhat from the above set. I still prefer the low energy cross sections given above. However, the available experimental and theoretical data does not provide definitive values. Communicated January 2002 Ionin et al, J. Phys. D 40, R25 (2007), Supplementary Tables available at stacks.iop.org/JPhysD/40/R25 have published a set of electron-O2 cross sections. These authors seem to say their cross sections yield better fits of Boltzmann results to measured oxygen a1Delta and atomic O production, particulary in mixtures with Ar. It is not clear what comparisons the authors made with published transport, ionization, and excitation coefficient measurements using swarm techniques in pure O2. Our tests of the cross section set Ionin et al were made using the Boltzmann equation solver BOLSIGPLUS from Hagelaar and Pitchford, PLasma Sources Sci. Tech. 14, 722 (2005). I conclude that the differences in the transport and direct a1Delta excitation coefficients were less than 20% and are within the uncretanties of the respective cross section sets and Boltzmann solutions. Latest O2 changes 01/11/07 *************************************************************** NITROGEN - N2 - 1985 SET OF PHELPS AND PITCHFORD These cross sections are those used in Phelps and Pitchford, Phys. Rev. 31, 2932 (1985). The values tabulated in JILA Information Center Report No. 26 are from the same computer files. Since this report was issued, we have recommended that the values listed in the report for the C^3Pi_u excitation cross section with a threshold at 11.03 eV be multiplied by 0.67. See footnote 15 of Jelenkovic and Phelps, Phys. Rev. 36, 5310 (1987). A few errors in Report No. 26 pointed out by M. Hayashi have been corrected, i.e., entry 21 for the 11.03 eV loss and entry 3 for the 11.88 eV loss. Here the ionization cross section of Report 26 has been divided into two parts so as to facilitate calculation of the production N2 1st Negative band emission. For each of the electronic excitation cross sections in this 1985 set one can recover the cross section obtained by Phelps and Pitchford from analyses of electron beam experiments and theory. To do this simply divide the tabulated cross sections by the quantity QSCALE listed at the head of the table for that process. The QSCALE factors in this file are given only so that one can recover the input data to BACKPRO, e.g., the input data used by P&P (1985). These QSCALE values should NOT be used when the tabulated data is used as input for BACKPRO, i.e., use QSCALE=1. For N2 these input data were either Schulz’s published vibrational excitation cross sections with modification near threshold or the electronic excitation cross sections derived by P&P (1985) from the literature. The tabulated numbers in Report 26 and ELECTRON.TXT (this file) are the result of applying the QSCALE factors to the input. These tabulated values (except for C^3Pi_u - see above) were used in the Boltzmann calculations of P&P (1985). It has been pointed out by several authors that the vibrational excitation cross sections tabilated here (based on Schulz) should be updated on the basis of later beam experiments and theory. However, we find good agreement with six (6) different experimental transport and rate coefficients using these cross sections and BACKPRO (Levron and Phelps, unpublished). These coefficients are drift velocity, characteristic energy, ionization, metastable (A^3 Sigma) excitation, C^3 Pi excitation, and N2 heating at E/n < 40 Td via rotational excitation and anharmonic relaxation of vibrational excitation. We therefore believe one would have to have a very strong reason before making any significant change in these cross sections. For example, a preliminary investigation (Haddad and Phelps, unpublished) suggests that the changes in cross sections accompanying the use of a multiterm spherical harmaonic code are small. As a second example, Hadded and Phelps found that the resonance in the rotational excitation cross section found theoretically by Onda and included in the cross sections recommended by Itikawa et al. J. Phys. Chem. Ref. Data 15, 985 (1986) is inconsistent with swarm data and should be ignored. A good estimate of the dissociation of N2 by electrons is to use 0.7 times the cross section and rate coefficient for the "N2 SUM OF SINGLET STATES" given below. This approximation will be too low for electron energies below 15 eV and very low E/n. An alternative is to use the "N2 DISSOCIATION" cross section as described below. See below, for comments on a new set of electron-N2 excitation cross sections published by Campbell et al (2001). N2 MOMENTUM-TRANSFER CROSS SECTION For guidance when extracting an elastic momentum transfer cross section from this data see Fig. 1 of Phelps and Pitchford (1985). ENERGY Effective Qm - Defined in introduction 1 0.0000 1.1000 2 0.0010 1.3600 3 0.0020 1.4900 4 0.0030 1.6200 5 0.0050 1.8100 6 0.0070 2.0000 7 0.0085 2.1000 8 0.0100 2.1900 9 0.0150 2.5500 10 0.0200 2.8500 11 0.0300 3.4000 12 0.0400 3.8500 13 0.0500 4.3300 14 0.0700 5.1000 15 0.1000 5.9500 16 0.1200 6.4500 17 0.1500 7.1000 18 0.1700 7.4000 19 0.2000 7.9000 20 0.2500 8.5000 21 0.3000 9.0000 22 0.3500 9.4000 23 0.4000 9.7000 24 0.5000 9.9000 25 0.7000 10.0000 26 1.0000 10.0000 27 1.2000 10.4000 28 1.3000 11.0000 29 1.5000 12.0000 30 1.7000 13.8000 31 1.9000 19.6000 32 2.1000 27.0000 33 2.2000 28.5000 34 2.5000 30.0000 35 2.8000 28.0000 36 3.0000 21.7000 37 3.3000 17.2000 38 3.6000 14.7000 39 4.0000 12.6000 40 4.5000 11.3000 41 5.0000 10.9000 42 6.0000 10.4000 43 7.0000 10.1000 44 8.0000 10.0000 45 10.0000 10.4000 46 12.0000 10.9000 47 15.0000 11.0000 48 17.0000 10.7000 49 20.0000 10.2000 50 25.0000 9.5000 51 30.0000 9.0000 52 50.0000 8.6000 53 75.0000 6.6000 54 100.0000 5.8000 55 150.0000 4.9000 56 200.0000 4.2000 57 300.0000 3.3000 58 500.0000 2.4400 59 700.0000 1.9600 60 1000.0000 1.5500 61 1500.0000 1.1200 62 2000.0000 0.8100 63 3000.0000 0.6300 64 5000.0000 0.4000 65 7000.0000 0.2900 66 10000.0000 0.2100 N2 ROT EXT USING SUM OF SCHULZ VIBRATION IN A SINGLE-LEVEL APPROXIMATION. THIS IS TO BE USED IN ADDTION TO THE CAR APPROXIMATION. ENERGY LOSS = 0.020 , LOWER LIMIT = 0.000 , UPPER LIMIT = 5.005 , QSCALE = 1.000000 (QSCALE USED ONLY FOR RECONSTRUCTING INPUT DATA - SEE INTRO.) ENERGY CROSS SECTION 1 0.0000 0.0000 2 0.0200 0.0000 3 0.0300 0.0000 4 0.4000 0.0000 5 0.8000 0.0000 6 1.2000 0.0600 7 1.6000 0.1800 8 1.7000 0.2300 9 1.8000 0.4000 10 1.9000 1.4100 11 2.0000 5.1300 12 2.1000 5.4200 13 2.2000 5.1400 14 2.3000 6.9000 15 2.4000 6.0400 16 2.5000 6.4500 17 2.6000 5.1000 18 2.7000 4.2400 19 2.8000 3.7500 20 2.9000 2.1100 21 3.0000 2.3200 22 3.1000 1.9400 23 3.2000 1.4000 24 3.3000 0.9400 25 3.6000 0.3800 26 5.0000 0.0000 27 20.0000 0.0000 28 1000.0000 0.0000 N2 V=1 ENGELHARDT, PHELPS, & RISK BELOW 1.6 PLUS 2.3 EV RES MODIFED FEB 82 ENERGY LOSS = 0.290, LOWER LIMIT = 0.258, UPPER LIMIT = 80.006, QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 0.2900 0.0000 3 0.3000 0.0010 4 0.3300 0.0017 5 0.4000 0.0025 6 0.7500 0.0037 7 0.9000 0.0055 8 1.0000 0.0065 9 1.1000 0.0090 10 1.1600 0.0110 11 1.2000 0.0125 12 1.2200 0.0135 13 1.4000 0.0700 14 1.5000 0.1000 15 1.6000 0.1500 16 1.6500 0.0000 17 3.6000 0.0000 18 4.0000 0.0550 19 5.0000 0.0350 20 15.0000 0.0350 21 18.0000 0.0400 22 20.0000 0.0650 23 22.0000 0.0850 24 23.0000 0.0850 25 25.0000 0.0600 26 29.0000 0.0300 27 32.0000 0.0150 28 50.0000 0.0120 29 80.0000 0.0000 30 1000.0000 0.0000 N2 V=1 RES SCHULZ 64 ENERGY LOSS = 0.291 , LOWER LIMIT = 1.600 , UPPER LIMIT = 3.999 , QSCALE = 1.500000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 0.2910 0.0000 3 1.6000 0.0000 4 1.6500 0.2700 5 1.7000 0.3150 6 1.8000 0.5400 7 1.9000 1.4850 8 2.0000 4.8000 9 2.1000 2.5650 10 2.2000 1.2000 11 2.3000 4.5000 12 2.4000 2.7600 13 2.5000 1.5900 14 2.6000 3.1500 15 2.7000 1.5450 16 2.7500 0.6000 17 2.8000 1.3500 18 2.9000 0.5250 19 3.0000 0.8700 20 3.1000 1.1700 21 3.2000 0.8550 22 3.3000 0.6600 23 3.4000 0.6000 24 3.5000 0.5850 25 3.6000 0.5700 26 4.0000 0.0000 27 100.0000 0.0000 28 1000.0000 0.0000 N2 V=2 SCHULZ 64 ENERGY LOSS = 0.590 , LOWER LIMIT = 1.677 , UPPER LIMIT = 3.612 , QSCALE = 1.500000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 0.5900 0.0000 3 1.7000 0.0000 4 1.8000 0.0150 5 1.9000 0.6300 6 2.0000 1.9350 7 2.1000 3.3000 8 2.2000 1.4700 9 2.3000 0.5400 10 2.4000 2.1150 11 2.5000 3.0000 12 2.6000 0.5400 13 2.7000 1.0500 14 2.7500 1.7250 15 2.8000 1.2750 16 2.9000 0.3300 17 3.0000 0.9000 18 3.1000 0.6450 19 3.2000 0.3750 20 3.3000 0.3450 21 3.4000 0.3000 22 3.5000 0.2130 23 3.6000 0.0000 24 1000.0000 0.0000 N2 V=3 SCHULZ 64 ENERGY LOSS = 0.880 , LOWER LIMIT = 1.677 , UPPER LIMIT = 3.406 , QSCALE = 1.500000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 0.8800 0.0000 3 1.9000 0.0000 4 2.0000 0.9600 5 2.1000 2.0550 6 2.2000 2.7000 7 2.3000 1.6950 8 2.4000 0.0750 9 2.5000 0.9600 10 2.6000 1.4700 11 2.7000 0.4500 12 2.7500 0.9600 13 2.8000 0.5400 14 2.9000 0.8550 15 3.0000 0.4050 16 3.1000 0.2820 17 3.2000 0.2910 18 3.3000 0.0615 19 3.4000 0.0000 20 1000.0000 0.0000 N2 V=4 SCHULZ 64 ENERGY LOSS = 1.170 , LOWER LIMIT = 1.883 , UPPER LIMIT = 3.302 , QSCALE = 1.500000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 1.1700 0.0000 3 2.0000 0.0000 4 2.1000 0.2025 5 2.2000 1.5150 6 2.3000 2.3850 7 2.4000 1.4400 8 2.5000 0.5550 9 2.6000 0.0825 10 2.7000 1.2000 11 2.7500 1.0950 12 2.8000 0.6750 13 2.9000 0.0300 14 3.0000 0.3300 15 3.1000 0.3150 16 3.2000 0.0600 17 3.3000 0.0000 18 1000.0000 0.0000 N2 V=5 SCHULZ 64 ENERGY LOSS = 1.470 , LOWER LIMIT = 1.883 , UPPER LIMIT = 3.406 , QSCALE = 1.500000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 1.4700 0.0000 3 2.1000 0.0000 4 2.2000 0.8250 5 2.3000 1.2300 6 2.4000 1.5300 7 2.5000 1.4400 8 2.6000 0.3450 9 2.7000 0.0225 10 2.7500 0.3450 11 2.8000 0.5400 12 2.9000 0.6600 13 3.0000 0.2175 14 3.1000 0.1050 15 3.2000 0.3150 16 3.3000 0.1035 17 3.4000 0.0000 18 1000.0000 0.0000 N2 V=6 SCHULZ 64 ENERGY LOSS = 1.760 , LOWER LIMIT = 2.193 , UPPER LIMIT = 3.199 , QSCALE = 1.500000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 1.7600 0.0000 3 2.2000 0.0000 4 2.3000 0.0063 5 2.4000 1.1250 6 2.5000 1.7400 7 2.6000 1.3800 8 2.7000 0.7800 9 2.7500 0.4500 10 2.8000 0.3150 11 2.9000 0.2460 12 3.0000 0.4800 13 3.1000 0.1635 14 3.2000 0.0000 15 100.0000 0.0000 16 1000.0000 0.0000 N2 V=7 SCHULZ 64 ENERGY LOSS = 2.060 , LOWER LIMIT = 2.296 , UPPER LIMIT = 3.509 , QSCALE = 1.500000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 2.0600 0.0000 3 2.3000 0.0000 4 2.4000 0.0126 5 2.5000 0.3900 6 2.6000 0.6600 7 2.7000 0.9600 8 2.7500 0.7950 9 2.8000 0.6000 10 2.9000 0.1800 11 3.0000 0.0063 12 3.1000 0.1920 13 3.2000 0.2040 14 3.3000 0.0780 15 3.4000 0.0189 16 3.5000 0.0000 17 100.0000 0.0000 18 1000.0000 0.0000 N2 V=8 SCHULZ 64 ENERGY LOSS = 2.350 , LOWER LIMIT = 2.477 , UPPER LIMIT = 3.509 , QSCALE = 1.500000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 2.3500 0.0000 3 2.5000 0.0000 4 2.6000 0.0189 5 2.7000 0.3600 6 2.7500 0.3600 7 2.8000 0.3300 8 2.9000 0.3450 9 3.0000 0.2640 10 3.1000 0.0375 11 3.2000 0.0063 12 3.3000 0.1545 13 3.4000 0.0252 14 3.5000 0.0000 15 100.0000 0.0000 16 1000.0000 0.0000 N2 A3SIGMA-CARTWRIGHT 1977 V=0-4 ENERGY LOSS = 6.170 , LOWER LIMIT = 5.986 , UPPER LIMIT = 150.001 , QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 6.1700 0.0000 3 7.0000 0.0010 4 7.8000 0.0028 5 8.5000 0.0043 6 9.0000 0.0057 7 10.0000 0.0082 8 11.0000 0.0100 9 12.0000 0.0120 10 13.0000 0.0130 11 14.0000 0.0140 12 16.0000 0.0150 13 17.0000 0.0150 14 18.0000 0.0140 15 20.0000 0.0120 16 22.0000 0.0100 17 24.0000 0.0089 18 26.0000 0.0076 19 30.0000 0.0059 20 34.0000 0.0049 21 40.0000 0.0039 22 50.0000 0.0034 23 70.0000 0.0007 24 150.0000 0.0000 25 500.0000 0.0000 26 1000.0000 0.0000 N2 A3SIGMA-CARTWRIGHT 1977 V=5-9 ENERGY LOSS = 7.000 , LOWER LIMIT = 6.785 , UPPER LIMIT = 150.001 , QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 7.0000 0.0000 3 7.3000 0.0020 4 7.8000 0.0050 5 8.5000 0.0150 6 9.0000 0.0220 7 10.0000 0.0340 8 11.0000 0.0430 9 12.0000 0.0500 10 13.0000 0.0550 11 14.0000 0.0600 12 16.0000 0.0650 13 17.0000 0.0650 14 18.0000 0.0620 15 20.0000 0.0530 16 22.0000 0.0450 17 24.0000 0.0380 18 26.0000 0.0330 19 30.0000 0.0250 20 34.0000 0.0210 21 40.0000 0.0170 22 50.0000 0.0140 23 70.0000 0.0029 24 150.0000 0.0000 25 500.0000 0.0000 26 1000.0000 0.0000 N2 B3PI-CARTWRIGHT 1977 ENERGY LOSS = 7.350 , LOWER LIMIT = 6.992 , UPPER LIMIT = 150.001 , QSCALE = 0.670000(QSCALE USED ONLY FOR RECONSTRUCTING INPUT DATA - SEE N2 INTRO.) ENERGY CROSS SECTION 1 0.0000 0.0000 2 7.3500 0.0000 3 8.0000 0.0362 4 9.0000 0.0938 5 10.0000 0.1508 6 11.0000 0.1863 7 12.0000 0.2003 8 13.0000 0.1990 9 14.0000 0.1816 10 15.0000 0.1615 11 16.0000 0.1447 12 17.0000 0.1307 13 18.0000 0.1199 14 20.0000 0.1112 15 22.0000 0.0951 16 26.0000 0.0804 17 30.0000 0.0677 18 34.0000 0.0563 19 40.0000 0.0429 20 50.0000 0.0268 21 70.0000 0.0067 22 150.0000 0.0000 23 500.0000 0.0000 24 1000.0000 0.0000 N2 W3DELTA-CARTWRIGHT 1977 ENERGY LOSS = 7.360 , LOWER LIMIT = 7.198 , UPPER LIMIT = 150.001 , QSCALE = 0.670000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 7.3600 0.0000 3 8.0000 0.0181 4 9.0000 0.0496 5 10.0000 0.0804 6 11.0000 0.1112 7 12.0000 0.1427 8 14.0000 0.2050 9 15.0000 0.2352 10 16.0000 0.2546 11 17.0000 0.2519 12 18.0000 0.2345 13 20.0000 0.1776 14 22.0000 0.1320 15 24.0000 0.1025 16 26.0000 0.0844 17 28.0000 0.0724 18 30.0000 0.0630 19 34.0000 0.0496 20 40.0000 0.0348 21 50.0000 0.0201 22 70.0000 0.0100 23 100.0000 0.0047 24 150.0000 0.0000 25 500.0000 0.0000 26 1000.0000 0.0000 N2 A3SIGMA-CARTWRIGHT 1977 V=10- ENERGY LOSS = 7.800 , LOWER LIMIT = 7.585 , UPPER LIMIT = 150.001 , QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 7.8000 0.0000 3 8.1000 0.0015 4 8.5000 0.0040 5 8.7000 0.0070 6 9.0000 0.0110 7 10.0000 0.0290 8 11.0000 0.0440 9 12.0000 0.0510 10 13.0000 0.0560 11 14.0000 0.0600 12 16.0000 0.0660 13 17.0000 0.0670 14 18.0000 0.0630 15 20.0000 0.0540 16 22.0000 0.0460 17 24.0000 0.0390 18 26.0000 0.0330 19 30.0000 0.0260 20 34.0000 0.0210 21 40.0000 0.0170 22 50.0000 0.0150 23 70.0000 0.0030 24 150.0000 0.0000 25 500.0000 0.0000 26 1000.0000 0.0000 N2 BPRI3SIGMA-CARTWRIGHT 1977 ENERGY LOSS = 8.160 , LOWER LIMIT = 7.998 , UPPER LIMIT = 150.001 , QSCALE = 0.670000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 8.1600 0.0000 3 9.0000 0.0107 4 10.0000 0.0235 5 11.0000 0.0369 6 12.0000 0.0496 7 13.0000 0.0630 8 14.0000 0.0757 9 15.0000 0.0838 10 16.0000 0.0764 11 17.0000 0.0616 12 18.0000 0.0489 13 19.0000 0.0409 14 20.0000 0.0362 15 22.0000 0.0315 16 26.0000 0.0268 17 30.0000 0.0228 18 34.0000 0.0194 19 40.0000 0.0161 20 50.0000 0.0127 21 70.0000 0.0067 22 150.0000 0.0000 23 500.0000 0.0000 24 1000.0000 0.0000 N2 APRI1SIGMA-CARTWRIGHT 1977 ENERGY LOSS = 8.400 , LOWER LIMIT = 8.179 , UPPER LIMIT = 500.004 , QSCALE = 0.670000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 8.4000 0.0000 3 9.0000 0.0067 4 11.0000 0.0301 5 13.0000 0.0536 6 14.0000 0.0643 7 15.0000 0.0697 8 16.0000 0.0570 9 17.0000 0.0429 10 18.0000 0.0348 11 19.0000 0.0308 12 20.0000 0.0275 13 24.0000 0.0201 14 30.0000 0.0154 15 40.0000 0.0124 16 50.0000 0.0121 17 70.0000 0.0100 18 150.0000 0.0067 19 500.0000 0.0000 20 1000.0000 0.0000 N2 A1PI-CARTWRIGHT 1977 ENERGY LOSS = 8.550 , LOWER LIMIT = 8.282 , UPPER LIMIT = 999.002 , QSCALE = 0.670000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 8.5500 0.0000 3 9.0000 0.0127 4 14.0000 0.1474 5 15.0000 0.1715 6 16.0000 0.1916 7 17.0000 0.2023 8 18.0000 0.1990 9 19.0000 0.1923 10 20.0000 0.1849 11 24.0000 0.1621 12 26.0000 0.1528 13 30.0000 0.1367 14 40.0000 0.1065 15 50.0000 0.0851 16 70.0000 0.0603 17 100.0000 0.0402 18 150.0000 0.0268 19 200.0000 0.0201 20 250.0000 0.0161 21 300.0000 0.0134 22 500.0000 0.0082 23 700.0000 0.0060 24 1000.0000 0.0042 N2 W1DELTA-CARTWRIGHT 1977 ENERGY LOSS = 8.890 , LOWER LIMIT = 8.488 , UPPER LIMIT = 150.001 , QSCALE = 0.670000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 8.8900 0.0000 3 9.0000 0.0013 4 10.0000 0.0261 5 11.0000 0.0476 6 12.0000 0.0663 7 13.0000 0.0784 8 14.0000 0.0771 9 15.0000 0.0670 10 16.0000 0.0543 11 17.0000 0.0442 12 18.0000 0.0375 13 20.0000 0.0288 14 22.0000 0.0241 15 30.0000 0.0154 16 38.0000 0.0094 17 50.0000 0.0047 18 150.0000 0.0000 19 500.0000 0.0000 20 1000.0000 0.0000 N2 C3PI-CARTWRIGHT 1977 -FINN-KISKER THRESHOLD SCALED BY PHELPS ENERGY LOSS = 11.030 , LOWER LIMIT = 10.784 , UPPER LIMIT = 150.001 , QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 11.0300 0.0000 3 11.5000 0.0270 4 12.0000 0.0620 5 12.5000 0.1310 6 13.0000 0.2900 7 13.5000 0.4900 8 13.8000 0.6200 9 14.0000 0.6500 10 14.2000 0.6400 11 14.5000 0.6300 12 15.0000 0.5500 13 16.0000 0.4300 14 17.0000 0.3500 15 18.0000 0.3000 16 19.0000 0.2700 17 20.0000 0.2500 18 22.0000 0.2100 19 24.0000 0.1770 20 26.0000 0.1500 21 28.0000 0.1280 22 30.0000 0.1110 23 36.0000 0.0780 24 40.0000 0.0630 25 50.0000 0.0390 26 70.0000 0.0150 27 100.0000 0.0015 28 150.0000 0.0000 29 500.0000 0.0000 30 1000.0000 0.0000 N2 E3SIGMA-CARTWRIGHT 1977 ENERGY LOSS = 11.880 , LOWER LIMIT = 11.481 , UPPER LIMIT = 150.001 , QSCALE = 0.670000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 11.8700 0.0000 3 11.9200 0.0496 4 12.7000 0.0007 5 17.0000 0.0034 6 19.0000 0.0042 7 20.0000 0.0047 8 22.0000 0.0052 9 24.0000 0.0054 10 26.0000 0.0054 11 28.0000 0.0044 12 30.0000 0.0034 13 32.0000 0.0027 14 40.0000 0.0012 15 50.0000 0.0005 16 150.0000 0.0000 17 500.0000 0.0000 18 1000.0000 0.0000 N2 ADPRI1SIGMA-CARTWRIGHT 1977 ENERGY LOSS = 12.250 , LOWER LIMIT = 11.997 , UPPER LIMIT = 999.002 , QSCALE = 0.670000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 12.2500 0.0000 3 13.0000 0.0054 4 15.0000 0.0188 5 16.0000 0.0248 6 17.0000 0.0301 7 18.0000 0.0348 8 19.0000 0.0382 9 20.0000 0.0389 10 22.0000 0.0342 11 24.0000 0.0275 12 26.0000 0.0228 13 30.0000 0.0154 14 36.0000 0.0114 15 40.0000 0.0107 16 50.0000 0.0090 17 70.0000 0.0068 18 100.0000 0.0050 19 150.0000 0.0036 20 200.0000 0.0029 21 300.0000 0.0020 22 500.0000 0.0013 23 700.0000 0.0010 24 1000.0000 0.0008 N2 SUM OF SINGLET STATES-ZIPF-MCLAUGHLIN 1978 ENERGY LOSS = 13.000 , LOWER LIMIT = 12.487 , UPPER LIMIT = 999.002 , QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 13.0000 0.0000 3 14.0000 0.0810 4 15.0000 0.1900 5 16.0000 0.2500 6 17.0000 0.4200 7 18.0000 0.5200 8 20.0000 0.7500 9 22.0000 0.9600 10 25.0000 1.1900 11 30.0000 1.4800 12 40.0000 1.6500 13 60.0000 1.7600 14 80.0000 1.6800 15 100.0000 1.5800 16 150.0000 1.3300 17 200.0000 1.1600 18 250.0000 1.0500 19 300.0000 0.9600 20 500.0000 0.7400 21 700.0000 0.6400 22 1000.0000 0.5300 BASED ON RAPP,ENGLANDER-GOLDEN,1965 AND BORST-ZIPF. PRODUCTION OF X^2Sigma AND A^2Pi STATES OF N2+ ENERGY LOSS = 15.600 , LOWER LIMIT = 15.480 , UPPER LIMIT = 999.002 , EBR= 13.000000, QSCALE= 0.930000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 15.6000 0.0000 3 16.0000 0.0195 4 16.5000 0.0428 5 17.0000 0.0660 6 17.5000 0.0911 7 18.0000 0.1200 8 18.5000 0.1516 9 19.0000 0.1841 10 19.5000 0.2130 11 20.0000 0.2502 12 21.0000 0.3181 13 22.0000 0.3869 14 23.0000 0.4557 15 25.0000 0.5924 16 30.0000 0.9579 17 34.0000 1.1718 18 45.0000 1.6461 19 60.0000 2.0181 20 75.0000 2.2134 21 100.0000 2.3436 22 150.0000 2.2692 23 200.0000 2.1018 24 300.0000 1.7763 25 500.0000 1.3485 26 700.0000 1.0788 27 1000.0000 0.8556 28 1500.0000 0.7440 N2+ B2SIGMA EXCITATION - BORST ZIPF. PRODUCTION OF B^2Sigma STATE OF N2+ ENERGY LOSS = 18.800 , LOWER LIMIT = 17.983 , UPPER LIMIT =10000.003 , EBR= 13.000000, QSCALE= 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 18.8000 0.0000 3 19.0000 0.0012 4 19.6000 0.0048 5 20.0000 0.0071 6 30.0000 0.0720 7 35.0000 0.1010 8 40.0000 0.1210 9 45.0000 0.1360 10 50.0000 0.1470 11 60.0000 0.1600 12 80.0000 0.1710 13 90.0000 0.1730 14 100.0000 0.1740 15 150.0000 0.1700 16 300.0000 0.1320 17 500.0000 0.1030 18 700.0000 0.0830 19 1000.0000 0.0640 20 1500.0000 0.0570 21 2000.0000 0.0370 22 4000.0000 0.0215 23 7000.0000 0.0138 24 10000.0000 0.0104 END OF PHELPS AND PITCHFORD 1985 SET. --------- THE FOLLOWING ARE NOT PART OF THE PHELPS AND PITCHFORD (1985) SET OF CROSS SECTIONS AND ARE NOT LISTED IN JILA REPOT #26. RECENT EXCITATION CROSS SECTION RESUTS AND THEIR INTERPRETATION Very recently Campbell, Brunger, Nolan, Kelly, Wedding, Harrison, Teubner, Cartwright, and McLaughlin, J. Phys. B 34, 1185 (2001) have re-evaluated the published excitation cross section data for the important ten lowest electronic states of N2 and have used this data for a re-analysis of electron transport data in N2. They conclude that the integrated cross sections recommended by Phelps and Pitchford (P&P), Phys. Rev. 31, 2932 (1985) and tabulated above in this file are too small by a significant factor. My analysis of this important work is outlined below. 1) A study of their paper finds that their published electronic excitation cross sections (their Table 1) for the first ten excited states of N2 are in rather good agreement with the cross sections derived by (P&P) from the literature. The disagreement between these 10 cross sections of Campbell et al and the values tabulated above arises because of the application by P&P of scaling factors of 2/3 to several of the subject cross sections. See the QSCALE values listed above. In other words, if the QSCALE factors from the above table were reset to 1.0 there would be no disagreement outside stated uncertainties as to the cross sections for excitation of the first 10 levels and no significant disagreement as to the interpretation of beam experiments and theory for these states. 2) For the higher threshold excited states of N2, i.e., primarily the singlet states, we believe that the cross sections of P&P (1985) are the more reliable. Apparently the cross section set of Campbell et al (2001), other than the first ten states, is from the work of Nolan and of Kelly and was "intended for the simulation of low to moderate" E/N. 3) The comparisons of the results of P&P (1985) with experiment in both Fig. 8 of P&P and in Figs. 5 through 9 of Campbell et al (2001) require clarification because of the changes in the magnitude of the various transport coefficients with the experimental technique being modeled. See Tagashira et al, J. Phys. D 10, 1051 (1977) and Blevin et al, Aust. J. Phys. 37, 593 (1984). As stated in the text of P&P, but not in Fig. 8, the calculations are almost all made for an exponentially growing and spatially uniform electron swarm (no density gradients), whereas as the experiments shown are mostly of the time-of-flight type. As a result, one expects the experimental values to lie above the P&P model results. See Taniguchi et al, J. Phys. D 11, 1757 (1978) for comparisons of results for various types of experiments obtained using a somewhat different set of cross sections for electrons in N2. Similarly, one does not expect the the temporal growth results of P&P (1985) to agree closely with the time-of flight calculations of Campbell et al (2001) or with the some what divergent time-of-flight experiments of Wedding et al, J. Phys. D 18, 2361 (1985) and Roznerski, J. Phys. D 29, 614 (1996). 4) It should be kept in mind that the experimental values for the electron drift velocities and characteristic energies have changed since the experiments cited by P&P. Assuming that tne newer experimental results are better, the QSCALE factors used by P&P and tabulated above probably have to be changed toward unity and the cross sections for the first 10 states changed toward the Campbell et al (2001) values. 5) The net result of the inconsistencies in the published comparisons of the results of P&P (1985) with experiments and with the calculated results of Campbell et al (2001) is that we do not know the errors resulting from the use of the P&P (1985) cross sections. Note that according to A. Nolan (private communication), Campbell et al (2001) did not calculate transport coefficients using the cross sections of P&P (1985) - unfortunately designated as the "JILA" set by Campbell et al. These and related questions have been investigated by A. Cenian and collaborators using Monte Carlo techniques. See Cenian et al, J. Phys. B 35, 5163 (2002); Cenian and Chernykho, Radiation Physics and Chemistry 68, 103 (2003). 6) My present guess (5/23/02) is that the uncertainties in the experimental transport data will turn out to be comparable with the differences in calculated drift velocities, characteristic energies, and ionization coefficients when using the cross sections of Campbell et al (2001) or those of P&P (1985) as tabulated above. If this is the case, then the fact that the Campbell et al cross sections for the first 10 states are derived from electron beam experiments and theory would favor the use of the Campbell et al cross sections for the first 10 states and those listed above from P&P (1985) for the higher states. Because of the problems in obtaining a listing of the Campbell et al cross sections and in dealing with the ~ 1 million entries, it is suggested that one obtain a very nearly equivalent cross section set for all electronic excitation by dividing the entries given above for P&P (1985) by their associated QSCALE factors. The vibrational excitation cross sections listed above should not be rescaled. I thank A. Nolan and A. B. Wedding (private communication) for listings of the cross section sets of Campbell et al (2001). I thank A. Cenian for several emails and preliminary Monte Carlo results leading to the analysis given here. This discussion revised 12/18/2003 N2 DISSOCIATION - FROM TABLE II OF P. C. Cosby, J. Chem. Phys. 98, 9544 (1993). For use in BACKPRO one would need to extend this to the maximum energy of the calculation using the "SUM OF SINGLETS" cross section as a guide. DO NOT ADD THIS TO THE SET OF CROSS SECTIONS GIVEN ABOVE. SUCH AN ERROR WOULD COUNT DISSOCIATION TWICE IN THE BOLTZMANN CALCULATION. SIMILARLY, FOR THE DISSOCIATION CROSS SECTION OF WINTERS (1966). To use this cross section listed below with any Boltzmann code that uses the cross section set given above: 1) multiply it by a small number, for example, 1E-4; 2) use BACKPRO or equivalent to calculate rate coefficients for the combined set of cross sections; 3) multiply the rate coefficient for dissociation by 1E4. This procedure preserves the energy balance, transport coefficients, and ionization coefficients of the 1985 set. ENERGY CROSS SECTION 0 0 10 0 12 0.01 14 0.04 16 0.20 18 0.36 20 0.52 25 0.87 30 1.04 40 1.15 50 1.23 60 1.23 80 1.20 100 1.16 125 1.10 150 1.04 175 0.99 200 0.95 ..... For a recent prediction of cross sections and rate coefficients for electron induced transitions between vibrationallly excited levels of the N2(X) state, see Mihajlov, Stojanovic, and Petrovic, J. Phys. B 32, 2620 (1999). N2 - ANALYTICAL APPROXIMATIONS TO DIFFERENTIAL SCATTERING CROSS SECTIONS FOR ELECTRON SCATTERING We use a screened-Coulomb type scattering formula to approximate the angular distributions of scattered electrons. Our choice allows fitting data that is predominantly backward scattering, e.g., O2 at low energies, and goes over to predominantly forward scattering at high energies. The differential scattering cross section i(theta,beta,en) is assumed to be i = a*(1 -(1 - 2*beta[en])*Cos[theta])^-2 where theta is the scattering angle, beta is a screening parameter and is a function of the electron energy, and en is the electron energy. Here a is the conventional magnitude factor for Coulomb scattering and is a function of electron energy only. Integration yields the total cross section qt qt = -((a*Pi)/((-1 + beta)*beta)); and the momentum transfer cross section qm qm = (2*Pi*(a - 2*a*beta - a*Ln[2 - 2*beta] + a*beta*Ln[2 - 2*beta] + a*Ln[2*beta] - a*beta*Ln[2*beta]))/((-1 + beta)*(-1 + 2*beta)^2) so that the ratio of the momentum transfer cross section to the total cross sections qm/qt is ratio = (2*beta*(-1 + 2*beta + Ln[2 - 2*beta] - beta*Ln[2 - 2*beta] - Ln[2*beta] + beta*Ln[2*beta]))/ (-1 + 2*beta)^2; The differential scattering cross sections normalized to the total cross section is normi = i[theta,eta]/qt[beta] so that probability of scattering through an angle less than theta0 is prob = (1 - Cos[theta0])*(1 - beta)/ (1 - (1 - 2*beta)Cos[theta0]); For theta0 = Pi this is 1 as expected. We set prob equal to a random number, randomnum, and solve for the scattering angle theta0. theta0 = ArcCos[(1 - beta - randomnum)/ (1 - beta - randomnum + 2*beta*randomnum)] Application to the scattering of electrons by N2: As in Phelps and Pitchford, Phys. Rev. A 31, 2932 (1985), we only attempt to fit the experimental angular distributions at energies for which the particular scattering cross section is important to the solution of the electron Boltzmann equation. See Table I. The empirical expressions used for the lowest two spherical harmonic components of the angular scattering are taken from Table I of this reference. The magnitudes of the effective Qm and angular integrated qt for the various inelastic scattering processes can be taken from the tables given earlier in this file. From Phelps and Pitchford, Phys. Rev. A 31, 2932 (1985), Table I, one obtains values of qm(en)/q0(en). The empirical q1/q0 expressions are then set equal to the expression for "ratio" and the value of beta is evaluated numerically, not algebraically. A graph of such beta values is then fitted by an algebraic expression for "empiricalbeta" by trial and error. Note that here qm is the elastic momentum transfer cross secton, not the effective Qm. q1/q0 = -0.2*en^0.5/(0.025+en^0.5)+ 1.2*(16*en^0.5+en)/(100+16*en^0.5+en); qm/q0 = 1 - q1/q0; (q0 = qt everywhere); empiricalbeta = .6/(1+(en/50.0)^0.5+(en/20.0)^1.01)^0.99; Resonant vibrational excitation: Since the scattering is roughly isotropic, beta = 0.5. (Corrected 12/10/96 thanks to A. Gilardini) Lower triplet states- A, B, and W: q1/q0 = -en^2/(1500+en^2); qm/q0 = 1 - q1/q0; empiricalbeta = .5*(1+(en/20.0)^2)/(1+(en/28.2)^2); Upper triplet state - C: q1/q0 = -0.2; qm/q0 = 1 - q1/q0; empiricalbeta = .647; Lower singlet state - a1Pi: q1/q0 = (200000+ 160*en^2+en^4)/(200000+2600*en^2+en^4); qm/q0 = 1 - q1/q0; empiricalbeta = 0.4*(en/15.0)^2/(1+(en/30.0)^2+(en/22.0)^4); Sum of singlets: q1/q0 = en^2/(2500+en^2); qm/q0 = 1 - q1/q0; empiricalbeta = .5/(1+(en/37.0)^2.5); The differential cross sections derived from the preceding tabulation have not been used in Boltzmann or Monte Carlo calculations so as to compare with the more detailed angular distributions used by others, e.g., Kunhardt and Tzeng, Phys. Rev. A 34, 2148 and 2158 (1986), Stojanovic, Jelenkovic, and Petrovic, J. Appl. Phys. 81, 1601 (1997), and Stojanovic and Petrovic, J. Phys. D 31, 834 (1998). A similar approximation to the differential cross section was made for N2 by Pitchford, Physics and Applications of Pseudo Sparks, (Wiley, New York, 1990) p. 319. Also, Jelenkovic and Phelps (unpublished) (1995) have used such an approximation for Monte Carlo calculations for electrons in H2. Belenguer and Pitchford, J. Appl. Phys. 86, 4780 (1999) used this form for anisotropic electron-Ar collisions. A very thorough and more detailed representation of the differential cross sections for electrons in N2 at energies from 2.3 to 1000 eV is given by Porter et al, J. Geophys. Res. 92, 5933 (1987). We thank A. Okhrimovskyy (8/27/00 and 3/8/01) for pointing out a typographical in the equation for i, poor terminology in the discusstion of the cumulative probability, an inconsistency in the energy scales for the empirical beta formulas, and the need for more detail in the description of the evaluation the empirical beta. Added 11/10/01 Modified 02/28/02 REVISION OF PARTIAL IONIZATION CROSS SECTIONS See Straub et al, Phys. Rev. A 54, 2146 (1996) and Stebbings and Lindsay, J. Chem. Phys. 114, 4741 (2001). Stephen Biagi at sfb@hep.ph.liv.ac.uk has derived a set of electron-N2 cross sections that differ somewhat from our set and somewhat from the set of Campbell et al. Communicated June 2002 latest N2 changes 12/18/03 ************************************************************ PURE CO2- DEC 1978 CO2 MOMENTUM-TRANSFER CROSS SECTION ENERGY Effective Qm - Defined in introduction 1 0.0000 600.0000 2 0.0010 540.0000 3 0.0020 380.0000 4 0.0030 307.0000 5 0.0050 237.0000 6 0.0070 200.0000 7 0.0085 182.0000 8 0.0100 170.0000 9 0.0150 138.0000 10 0.0200 120.0000 11 0.0300 97.0000 12 0.0400 85.0000 13 0.0500 76.0000 14 0.0700 63.0000 15 0.1000 50.0000 16 0.1200 44.0000 17 0.1500 39.0000 18 0.1700 34.0000 19 0.2000 29.0000 20 0.2500 24.0000 21 0.3000 18.0000 22 0.3500 15.0000 23 0.4000 13.0000 24 0.5000 10.0000 25 0.7000 7.1000 26 1.0000 5.2000 27 1.2000 4.8000 28 1.3000 4.7000 29 1.5000 4.6500 30 1.7000 4.6500 31 1.9000 4.8500 32 2.1000 5.0500 33 2.2000 5.2000 34 2.5000 6.4000 35 2.8000 7.6000 36 3.0000 9.0000 37 3.3000 11.5000 38 3.6000 14.0000 39 4.0000 15.2000 40 4.5000 14.8000 41 5.0000 12.7000 42 6.0000 10.0000 43 7.0000 10.0000 44 8.0000 10.8000 45 10.0000 12.1000 46 12.0000 13.1000 47 15.0000 14.4000 48 17.0000 15.0000 49 20.0000 15.8000 50 25.0000 16.0000 51 30.0000 15.8000 52 50.0000 12.6000 53 75.0000 9.5000 54 100.0000 8.0000 55 150.0000 6.0000 56 200.0000 4.0000 57 300.0000 3.7000 58 500.0000 2.5000 59 700.0000 2.0000 60 1000.0000 1.6000 CO2 VIBRATIONAL EXCITATION - ASYMMETRIC STRETCH - BULOS & PHELPS ENERGY LOSS = 0.083 , LOWER LIMIT = 0.050 , UPPER LIMIT = 20.009 QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 0.0830 0.0000 3 0.0844 0.8500 4 0.0862 1.1600 5 0.0932 1.8500 6 0.1035 2.3000 7 0.1208 2.6000 8 0.1382 2.6800 9 0.1726 2.5400 10 0.2070 2.2000 11 0.2750 1.7200 12 0.3450 1.4300 13 0.5000 1.0800 14 0.7000 0.8000 15 0.9000 0.6600 16 1.1000 0.5700 17 1.4000 0.4500 18 1.6000 0.4200 19 1.8000 0.4400 20 2.3000 0.7000 21 2.6000 0.9300 22 3.0000 1.3400 23 3.2000 1.5800 24 3.4000 1.7500 25 3.6000 1.8000 26 3.8000 1.7900 27 4.0000 1.7000 28 4.2000 1.5200 29 4.6000 1.0500 30 5.1000 0.5700 31 5.5000 0.5100 32 6.0000 0.5000 33 7.0000 0.4800 34 8.0000 0.4500 35 10.0000 0.2000 36 20.0000 0.0000 37 50.0000 0.0000 38 100.0000 0.0000 CO2 VIBRATIONAL EXCITATION - BULOS & PHELPS ENERGY LOSS = 0.167 , LOWER LIMIT = 0.126 , UPPER LIMIT = 20.009 QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 0.1670 0.0000 3 0.1720 0.3000 4 0.1800 0.3300 5 0.2000 0.3500 6 0.2500 0.3250 7 0.5000 0.1170 8 1.0000 0.0500 9 1.5000 0.0400 10 1.9000 0.0600 11 2.0000 0.0800 12 2.2500 0.2000 13 2.5000 0.4000 14 3.0000 1.2800 15 3.2000 1.5700 16 3.4000 1.7700 17 3.5500 1.7800 18 3.7000 1.7500 19 3.9000 1.6000 20 4.1000 1.2800 21 4.5000 0.8800 22 4.9000 0.3900 23 5.2000 0.3300 24 6.0000 0.2700 25 8.0000 0.2500 26 10.0000 0.2100 27 20.0000 0.0000 28 100.0000 0.0000 CO2 VIBRATIOAL EXCITATION - BULOS & PHELPS ENERGY LOSS = 0.291 , LOWER LIMIT = 0.277 , UPPER LIMIT = 99.994 QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 0.2910 0.0000 3 0.3000 0.9500 4 0.3100 1.7000 5 0.3200 1.8500 6 0.3300 2.0000 7 0.3500 2.1500 8 0.3800 2.2000 9 0.4000 2.1500 10 0.4500 2.0000 11 0.5000 1.8500 12 0.6000 1.5500 13 0.8000 1.2300 14 1.0000 1.0000 15 1.5000 0.7600 16 2.0000 0.6400 17 3.0000 0.4900 18 4.5000 0.4400 19 6.0000 0.4100 20 8.0000 0.4800 21 10.0000 0.2600 22 25.0000 0.1350 23 30.0000 0.1000 24 100.0000 0.0000 CO2 ENERGY LOSS = 0.339 , LOWER LIMIT = 1.386 , UPPER LIMIT = 5.065 QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 0.3390 0.0000 3 1.5000 0.0000 4 1.9500 0.0700 5 2.5000 0.2000 6 3.0000 0.4100 7 3.5600 0.6600 8 4.1000 0.3400 9 4.5000 0.1550 10 5.0600 0.0000 11 6.0000 0.0000 12 150.0000 0.0000 CO2 ENERGY LOSS = 0.252 , LOWER LIMIT = 2.394 , UPPER LIMIT = 5.998 QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 0.2520 0.0000 3 1.5000 0.0000 4 1.9500 0.0000 5 2.5000 0.0000 6 3.0000 0.3200 7 3.5600 0.5400 8 4.1000 0.3400 9 4.5000 0.1600 10 5.0600 0.0440 11 6.0000 0.0000 12 150.0000 0.0000 CO2 ENERGY LOSS = 0.422 , LOWER LIMIT = 2.394 , UPPER LIMIT = 4.511 QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 0.4220 0.0000 3 1.5000 0.0000 4 1.9500 0.0000 5 2.5000 0.0000 6 3.0000 0.1050 7 3.5600 0.2250 8 4.1000 0.1000 9 4.5000 0.0000 10 5.0600 0.0000 11 6.0000 0.0000 12 200.0000 0.0000 CO2 ENERGY LOSS = 0.505 , LOWER LIMIT = 2.394 , UPPER LIMIT = 4.511 QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 0.5050 0.0000 3 1.5000 0.0000 4 1.9500 0.0000 5 2.5000 0.0000 6 3.0000 0.1560 7 3.5600 0.3300 8 4.1000 0.1560 9 4.5000 0.0000 10 5.0600 0.0000 11 6.0000 0.0000 12 200.0000 0.0000 CO2 ENERGY LOSS = 2.500 , LOWER LIMIT = 2.394 , UPPER LIMIT = 4.511 QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 2.5000 0.0000 3 3.0000 0.1800 4 3.6000 0.2500 5 4.1000 0.1800 6 4.5000 0.0000 7 100.0000 0.0000 CO2 ENERGY LOSS = 3.850 , LOWER LIMIT = 3.679 , UPPER LIMIT = 9.702 QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 3.8500 0.0000 3 4.3000 0.0014 4 4.5000 0.0014 5 5.1000 0.0000 6 6.6000 0.0000 7 7.2000 0.0007 8 8.2000 0.0045 9 8.4000 0.0042 10 8.9000 0.0010 11 9.7000 0.0000 12 200.0000 0.0000 CO2 ENERGY LOSS = 7.000 , LOWER LIMIT = 6.880 , UPPER LIMIT = 11.012 QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 7.0000 0.0000 3 8.0000 0.6000 4 8.5000 0.6000 5 11.0000 0.0000 6 100.0000 0.0000 CO2 ENERGY LOSS = 10.500 , LOWER LIMIT = 10.382 , UPPER LIMIT = 99.994 QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 10.5000 0.0000 3 12.0000 0.6900 4 12.7000 0.7300 5 13.5000 0.7800 6 15.0000 0.8800 7 17.0000 1.0400 8 20.0000 1.2400 9 40.0000 3.6000 10 100.0000 6.3000 CO2 ENERGY LOSS = 13.300 , LOWER LIMIT = 13.180 , UPPER LIMIT = 99.994 QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 13.3000 0.0000 3 14.5000 0.0600 4 15.0000 0.1040 5 16.0000 0.1880 6 18.0000 0.3590 7 20.0000 0.5320 8 30.0000 1.6300 9 40.0000 2.2800 10 50.0000 2.7900 11 70.0000 3.4300 12 100.0000 3.7900 We thank Prof. A. Dickinson for pointing out an inconsistency in the Qm table at 0.0085 eV. For temperature depedent transport coefficients at low E/n see Haddad and Elford, J. Phys. B 12, L743 (1979); Elford and Haddad, Aust. J. Phys. 33, 317 (1980); and Hergerberg, Elford, and Crompton, ibid, 33, 985 (1980). REVISION OF TOTAL AND PARTIAL IONIZATION CROSS SECTIONS See Straub et al, J. Chem. Phys. 105, 4015 (1996). M. Hayashi has assembled references and derived an electron-Ar cross section set in a report entitled "Bibliography of electron and photon cross sections with atoms and molecules published in the 20th century - carbon dioxide", National Institute for Fusion Research Research, Report NIFS-Data Series NIFS-DATA-74, Apr. 2003. The report cited is one of a series that reviews electron collisions with Ar, Xe, SF6, and N2. Latest CO2 change 12/29/03 ******************************************************************* CARBON MONOXIDE These cross sections are very similar to those developed by Land, J. Appl. Phys. 49, 5716 (1978). As of 10/95 I know of no reason to change them. USE CAR DIPOLE (0.046 e*ao) AND QUADRUPOLE (1.38E-4 e*ao^2) FOR ROTATIONAL EXCITATION. THE QUADRUPOLE CONTRIBUTION IS SMALL. (SEE LUFT -1975- FOR UNITS USED IN BACKPRO) CO MOMENTUM-TRANSFER CROSS SECTION ENERGY Effective Qm - Defined in introduction 1 0.0000 60.0000 2 0.0010 40.0000 3 0.0020 25.0000 4 0.0030 17.7000 5 0.0050 12.3000 6 0.0070 9.8000 7 0.0085 8.6000 8 0.0100 7.8000 9 0.0150 6.5000 10 0.0200 5.9000 11 0.0300 5.4000 12 0.0400 5.2000 13 0.0500 5.4000 14 0.0700 6.1000 15 0.1000 7.3000 16 0.1200 7.7000 17 0.1500 8.8000 18 0.1700 9.3000 19 0.2000 10.0000 20 0.2500 11.2000 21 0.3000 12.1000 22 0.3500 13.0000 23 0.4000 13.8500 24 0.5000 15.4000 25 0.7000 16.5000 26 1.0000 18.5000 27 1.2000 28.0000 28 1.3000 37.0000 29 1.5000 42.0000 30 1.7000 40.0000 31 1.9000 32.0000 32 2.1000 23.5000 33 2.2000 21.5000 34 2.5000 17.5000 35 2.8000 16.0000 36 3.0000 15.4000 37 3.3000 14.6000 38 3.6000 14.2000 39 4.0000 13.8000 40 4.5000 13.3000 41 5.0000 12.9000 42 6.0000 12.3000 43 7.0000 11.8000 44 8.0000 11.3000 45 10.0000 10.6000 46 12.0000 10.4000 47 15.0000 10.2000 48 17.0000 10.1000 49 20.0000 9.8000 50 25.0000 9.1000 51 30.0000 8.6000 52 50.0000 7.1000 53 75.0000 6.1000 54 100.0000 5.5000 55 150.0000 4.9000 56 200.0000 4.2000 57 300.0000 3.3000 58 500.0000 2.4400 59 700.0000 1.9600 60 1000.0000 1.55000 CO V=1 HAKE & PHELPS THRESHOLD*.95 TO EHRHARDT*1.9 ENERGY LOSS = 0.266 , LOWER LIMIT = 0.258 , UPPER LIMIT = 4.911 , QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 0.2660 0.0000 3 0.2900 0.0950 4 0.3200 0.1250 5 0.3500 0.1440 6 0.4000 0.1560 7 0.5000 0.1590 8 0.6000 0.1570 9 0.7000 0.1540 10 0.8000 0.1650 11 0.8500 0.2240 12 0.9000 0.3000 13 0.9500 0.3970 14 1.0000 0.5130 15 1.0310 0.6040 16 1.0730 0.7360 17 1.1300 0.9240 18 1.1800 1.1210 19 1.2150 1.3500 20 1.2420 1.5730 21 1.3070 2.1370 22 1.3640 2.9030 23 1.4100 3.6020 24 1.4450 4.1760 25 1.4760 4.8390 26 1.5140 5.3770 27 1.5910 5.3410 28 1.6450 5.0540 29 1.7400 5.9340 30 1.8210 6.5780 31 1.9020 5.8430 32 1.9820 5.2160 33 2.0860 5.6830 34 2.1700 4.9650 35 2.2810 4.1760 36 2.3160 4.2850 37 2.4040 3.7470 38 2.5080 3.1200 39 2.6880 2.4550 40 2.8720 1.8280 41 3.0720 1.2900 42 3.2940 0.8610 43 3.5280 0.5550 44 3.8160 0.2870 45 5.0000 0.0000 46 100.0000 0.0000 CO EHRHARDT V=2 ENERGY LOSS = 0.528 , LOWER LIMIT = 1.034 , UPPER LIMIT = 3.877 , QSCALE = 1.900000(QSCALE USED ONLY FOR RECONSTRUCTING INPUT DATA - SEE N2 INTRO.) ENERGY CROSS SECTION 1 0.0000 0.0000 2 0.5280 0.0000 3 1.2660 0.0000 4 1.3470 0.2679 5 1.4200 0.7144 6 1.4850 1.3414 7 1.5350 1.9855 8 1.5700 2.2705 9 1.6280 2.4320 10 1.6820 2.1280 11 1.7780 1.7879 12 1.8630 2.1812 13 1.9400 2.5745 14 2.0280 2.0387 15 2.0670 1.6986 16 2.1050 1.5371 17 2.2170 1.7518 18 2.3250 1.2692 19 2.4830 1.0184 20 2.5980 0.7144 21 2.7100 0.6080 22 2.8250 0.3933 23 3.0370 0.1976 24 3.2990 0.0361 25 4.0000 0.0000 26 100.0000 0.0000 CO EHRHARDT V=3 ENERGY LOSS = 0.787 , LOWER LIMIT = 1.292 , UPPER LIMIT = 3.877 , QSCALE = 1.900000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 0.7870 0.0000 3 1.3820 0.0000 4 1.4730 0.2679 5 1.5190 0.5548 6 1.5690 0.8398 7 1.6150 1.2160 8 1.6530 1.4668 9 1.7180 1.6454 10 1.7600 1.4478 11 1.8020 1.2521 12 1.8590 0.8398 13 1.9050 0.7144 14 1.9770 0.9120 15 2.0460 1.2692 16 2.1150 1.0906 17 2.2020 0.5909 18 2.2860 0.5358 19 2.3400 0.6802 20 2.4050 0.5548 21 2.5110 0.2679 22 2.6260 0.3401 23 2.7290 0.1064 24 2.8890 0.1615 25 2.9730 0.0893 26 3.0460 0.0361 27 4.0000 0.0000 28 100.0000 0.0000 CO EHRHARDT V=4 ENERGY LOSS = 1.040 , LOWER LIMIT = 1.292 , UPPER LIMIT = 2.843 , QSCALE = 1.900000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 1.0400 0.0000 3 1.5140 0.0000 4 1.5710 0.4294 5 1.6400 0.7353 6 1.7240 1.1647 7 1.7810 1.2901 8 1.8760 1.0393 9 1.9640 0.4484 10 2.0170 0.3230 11 2.1010 0.5548 12 2.1850 0.6802 13 2.2760 0.3762 14 2.3680 0.1615 15 2.4700 0.3230 16 2.5540 0.1615 17 2.8000 0.0000 18 100.0000 0.0000 CO EHRHARDT V=6 ENERGY LOSS = 1.540 , LOWER LIMIT = 1.292 , UPPER LIMIT = 2.585 , QSCALE = 1.900000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 1.5400 0.0000 3 1.6850 0.1976 4 1.8680 0.5016 5 2.0100 0.6992 6 2.1470 0.3591 7 2.2960 0.0893 8 2.4530 0.2337 9 2.6000 0.0000 10 100.0000 0.0000 CO EHRHARDT V=5 ENERGY LOSS = 1.300 , LOWER LIMIT = 1.551 , UPPER LIMIT = 2.585 , QSCALE = 1.900000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 1.3000 0.0000 3 1.6080 0.0000 4 1.6620 0.2869 5 1.8150 0.6802 6 1.9140 0.8968 7 2.0440 0.4123 8 2.1590 0.0893 9 2.2850 0.3401 10 2.4000 0.1786 11 2.5220 0.0361 12 2.5680 0.0722 13 2.7000 0.0000 14 100.0000 0.0000 CO EHRHARDT V=7 ENERGY LOSS = 1.790 , LOWER LIMIT = 1.551 , UPPER LIMIT = 2.843 , QSCALE = 1.900000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 1.7900 0.0000 3 2.0060 0.3401 4 2.1360 0.5548 5 2.2580 0.4294 6 2.4230 0.1615 7 2.4840 0.1254 8 2.5790 0.1615 9 2.7500 0.0000 10 100.0000 0.0000 CO BONESS V=8 ENERGY LOSS = 2.030 , LOWER LIMIT = 1.809 , UPPER LIMIT = 3.102 , QSCALE = 1.900000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 2.0300 0.0000 3 2.2000 0.0684 4 2.3000 0.1330 5 2.4000 0.0665 6 2.5000 0.0114 7 2.6000 0.0152 8 2.7000 0.0095 9 2.8000 0.0038 10 2.9000 0.0057 11 3.0000 0.0000 12 100.0000 0.0000 CO BONESS V=9 ENERGY LOSS = 2.270 , LOWER LIMIT = 2.068 , UPPER LIMIT = 2.843 , QSCALE = 1.900000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 2.2700 0.0000 3 2.3000 0.0068 4 2.4000 0.0665 5 2.5000 0.0513 6 2.6000 0.0082 7 2.7000 0.0068 8 2.8000 0.0095 9 2.9000 0.0000 10 3.0000 0.0000 11 5.0000 0.0000 12 100.0000 0.0000 CO BONESS V=10 ENERGY LOSS = 2.510 , LOWER LIMIT = 2.326 , UPPER LIMIT = 3.102 , QSCALE = 1.900000 ENERGY CROSS SECTION SECTION 1 0.0000 0.0000 2 2.5100 0.0000 3 2.5200 0.0114 4 2.6000 0.0399 5 2.7000 0.0133 6 2.8000 0.0057 7 2.9000 0.0076 8 3.0000 0.0000 9 5.0000 0.0000 10 100.0000 0.0000 CO SAWADA A3PI ENERGY LOSS = 6.220 , LOWER LIMIT = 6.204 , UPPER LIMIT = 200.070 , QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 6.2200 0.0000 3 7.1000 0.1000 4 7.4000 0.3000 5 8.0000 0.6400 6 8.5000 0.7800 7 9.0000 0.9700 8 10.0000 1.0800 9 11.0000 1.1000 10 12.0000 1.0300 11 15.0000 0.7000 12 20.0000 0.4100 13 24.0000 0.3000 14 30.0000 0.2400 15 40.0000 0.2050 16 60.0000 0.1750 17 80.0000 0.1500 18 100.0000 0.1300 CO ENERGY LOSS = 6.800 , LOWER LIMIT = 6.721 , UPPER LIMIT = 100.035 , LIN A PRIME 3 SIGMA QSCALE = 0.350000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 6.8000 0.0000 3 6.9000 0.0035 4 7.4000 0.0350 5 8.7590 0.3115 6 9.6910 0.4585 7 10.5400 0.5215 8 11.1600 0.5390 9 12.1900 0.5180 10 15.4400 0.4270 11 24.2900 0.2030 12 40.0600 0.0560 13 61.0400 0.0175 14 100.0000 0.0000 CO SAWADA A1PI ENERGY LOSS = 7.900 , LOWER LIMIT = 8.272 , UPPER LIMIT = 200.070 , QSCALE = 1.000000 ENERGY CROSS SECTION SECTION 1 0.0000 0.0000 2 7.9000 0.0000 3 9.0000 0.1100 4 10.0000 0.2000 5 12.5000 0.3000 6 15.0000 0.3700 7 20.0000 0.4250 8 27.0000 0.4400 9 40.0000 0.4250 10 60.0000 0.3800 11 80.0000 0.3500 12 100.0000 0.3250 CO SAWADA B3SIG ENERGY LOSS = 10.400 , LOWER LIMIT = 10.340 , UPPER LIMIT = 100.035 , QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 10.4000 0.0000 3 12.0000 0.0350 4 14.0000 0.0700 5 16.0000 0.0820 6 18.0000 0.0620 7 21.0000 0.0450 8 25.0000 0.0250 9 35.0000 0.0145 10 50.0000 0.0130 11 70.0000 0.0120 12 100.0000 0.0110 CO SAWADA C1SIG + E1PI ENERGY LOSS = 10.600 , LOWER LIMIT = 10.598 , UPPER LIMIT = 100.035 , QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 10.6000 0.0000 3 12.0000 0.0560 4 15.0000 0.1430 5 20.0000 0.2270 6 25.0000 0.2700 7 50.0000 0.2700 8 100.0000 0.2300 CO SAWADA 13.5 LOSS ENERGY LOSS = 13.500 , LOWER LIMIT = 13.441 , UPPER LIMIT = 100.035 , QSCALE = 1.500000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 13.5000 0.0000 3 14.5000 0.1350 4 17.0000 0.3000 5 20.0000 0.4050 6 30.0000 0.5400 7 40.0000 0.5625 8 60.0000 0.5400 9 80.0000 0.5250 10 100.0000 0.4875 CO ENERGY LOSS = 14.010 , LOWER LIMIT = 13.958 , UPPER LIMIT = 100.035 , CO RAPP IONIZATION EBR= 14.200000, QSCALE= 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 14.0100 0.0000 3 14.5000 0.0273 4 16.0000 0.1060 5 17.0000 0.1770 6 18.0000 0.2540 7 19.0000 0.3400 8 20.0000 0.4280 9 22.0000 0.6000 10 24.0000 0.7700 11 28.0000 1.0900 12 32.0000 1.3800 13 40.0000 1.7900 14 50.0000 2.1200 15 70.0000 2.5000 16 100.0000 2.6500 REVISION OF TOTAL AND PARTIAL IONIZATION CROSS SECTIONS Mangan et al, J. Phys. B 33, 3225 (2000). RECENT DEVELOPMENTS: Stephen Biagi at sfb@hep.ph.liv.ac.uk has derived a set of electron-CO cross sections that differ somewhat from the above set. Communicated December 2003 Latest CO change 012/18/03 ********************************************************************** HYDROGEN These cross sections are those used by Buckman and Phelps, J. Chem. Phys. 82, 4999 (1985). The values tabulated in JILA Information Center Report No. 27 are derived from the same computer files and should be the same as those given here. This has not been checked. Although these cross sections give good agreement with experimental transport, dissociation, vuv excitation, and ionization coeffieient data, it is now known that the division of cross sections among the triplet levels needs to be improved. This problem does not introduce significant errors in the overall energy balance or the sums of excitation rates for the H2 singlet and triplet levels. H2 MOMENTUM-TRANSFER CROSS SECTION ENERGY Effective Qm - Defined in introduction 1 0.0000 6.4000 2 0.0010 6.4000 3 0.0020 6.5000 4 0.0030 6.6000 5 0.0050 6.8000 6 0.0070 7.1000 7 0.0085 7.2000 8 0.0100 7.3000 9 0.0150 7.7000 10 0.0200 8.0000 11 0.0300 8.5000 12 0.0400 8.9600 13 0.0500 9.2800 14 0.0700 9.8500 15 0.1000 10.5000 16 0.1200 10.8500 17 0.1500 11.4000 18 0.1700 11.6000 19 0.2000 12.0000 20 0.2500 12.5000 21 0.3000 13.0000 22 0.3500 13.4500 23 0.4000 13.9000 24 0.5000 14.7000 25 0.7000 16.3000 26 1.0000 17.4000 27 1.2000 17.8000 28 1.3000 18.0000 29 1.5000 18.2500 30 1.7000 18.2500 31 1.9000 18.1000 32 2.1000 17.9000 33 2.2000 17.7000 34 2.5000 17.0000 35 2.8000 16.4000 36 3.0000 16.0000 37 3.3000 15.6000 38 3.6000 14.8000 39 4.0000 14.0000 40 4.5000 13.1000 41 5.0000 12.2000 42 6.0000 10.4000 43 7.0000 8.9000 44 8.0000 7.8500 45 10.0000 6.0000 46 12.0000 5.2000 47 15.0000 4.5000 48 17.0000 4.2000 49 20.0000 3.9000 50 25.0000 3.6000 51 30.0000 3.4000 52 50.0000 2.9000 53 75.0000 2.6000 54 100.0000 2.3000 55 150.0000 1.9000 56 200.0000 1.6200 57 300.0000 1.2800 58 500.0000 0.9200 59 700.0000 0.7200 60 1000.0000 0.5400 61 1500.0000 0.3700 62 2000.0000 0.2900 63 3000.0000 0.2100 64 5000.0000 0.1400 65 7000.0000 0.1040 66 10000.0000 0.0770 H2 J=0-J=2 CROMPTON ET AL (1969),HENRY-LANE (1969) ENERGY LOSS = 0.044 , LOWER LIMIT = 0.026 , UPPER LIMIT =10000.003 , QSCALE = 0.250000(QSCALE USED ONLY FOR RECONSTRUCTING INPUT DATA - SEE N2 INTRO.) 06/24/08 St. Kolev and L.C. Pitchford have pointed out that the following rotational excitation cross sections should be divided by the scale factors listed, i.e., for J = 0 to 2 divide by 0.25, in order to agree with Fig. 13 of Buckmann and Phelps (1985) and references therein. ENERGY CROSS SECTION 1 0.0000 0.0000 2 0.0440 0.0000 3 0.0470 0.0046 4 0.0500 0.0067 5 0.0550 0.0088 6 0.0600 0.0105 7 0.0700 0.0132 8 0.0900 0.0170 9 0.1100 0.0198 10 0.2000 0.0300 11 0.4000 0.0525 12 0.6000 0.0762 13 0.8000 0.1125 14 1.0000 0.1500 15 2.0000 0.3275 16 3.0000 0.4500 17 4.0000 0.4500 18 6.0000 0.3800 19 10.0000 0.2900 20 20.0000 0.1650 21 30.0000 0.1250 22 50.0000 0.0850 23 70.0000 0.0660 24 100.0000 0.0500 25 125.0000 0.0425 26 150.0000 0.0365 27 500.0000 0.0130 28 1000.0000 0.0070 29 3000.0000 0.0025 30 10000.0000 0.0010 H2 J=1-J=3 GIBSON (1970), HEAPS AND GREEN (1975),CALD.(1976) ENERGY LOSSS = 0.073 , LOWER LIMIT = 0.052 , UPPER LIMIT = 1000.008 , QSCALE = 0.750000 06/24/08 St. Kolev and L.C. Pitchford have pointed out that the following rotational excitation cross sections should be divided by the scale factors listed, i.e., for J = 1 to 3 divide by 0.75, in order to agree with Fig. 13 of Buckmann and Phelps (1985) and references therein. ENERGY CROSS SECTION 1 0.0000 0.0000 2 0.0730 0.0000 3 0.0750 0.0075 4 0.0800 0.0128 5 0.0850 0.0161 6 0.0900 0.0188 7 0.1000 0.0221 8 0.1200 0.0285 9 0.1500 0.0353 10 0.2000 0.0450 11 0.3000 0.0660 12 0.4000 0.0885 13 0.5000 0.1125 14 0.7000 0.1650 15 1.0000 0.2625 16 1.4000 0.3750 17 2.0000 0.5625 18 2.7000 0.7500 19 3.3000 0.8250 20 5.0000 0.7500 21 7.0000 0.6525 22 10.0000 0.5250 23 20.0000 0.3000 24 30.0000 0.2250 25 50.0000 0.1530 26 100.0000 0.0870 27 125.0000 0.0743 28 150.0000 0.0630 29 500.0000 0.0232 30 1000.0000 0.0135 31 1500.0000 0.0000 32 2000.0000 0.0000 33 3000.0000 0.0000 34 5000.0000 0.0000 35 7000.0000 0.0000 36 10000.0000 0.0000 H2 V=1 EHRHARDT ET AL 1968 EXCPT CROMPTON THRESHOLD ENERGY LOSS = 0.516 , LOWER LIMIT = 0.490 , UPPER LIMIT = 1000.008 , QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 0.5160 0.0000 3 0.7000 0.0200 4 1.0000 0.0600 5 1.5000 0.2000 6 2.0000 0.4000 7 2.5000 0.4900 8 3.0000 0.5100 9 3.3000 0.5000 10 4.0000 0.4400 11 5.0000 0.3600 12 7.0000 0.2200 13 8.0000 0.1600 14 10.0000 0.0900 15 12.0000 0.0600 16 16.0000 0.0200 17 50.0000 0.0090 18 100.0000 0.0080 19 150.0000 0.0080 20 200.0000 0.0080 21 300.0000 0.0070 22 500.0000 0.0070 23 700.0000 0.0070 24 1000.0000 0.0060 25 1500.0000 0.0000 26 2000.0000 0.0000 27 3000.0000 0.0000 28 5000.0000 0.0000 29 7000.0000 0.0000 30 10000.0000 0.0000 H2 V=2 EHRHARDT ET AL 1968 ENERGY LOSS = 1.000 , LOWER LIMIT = 0.877 , UPPER LIMIT = 15.996 , QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 1.0000 0.0000 3 1.3000 0.0000 4 1.5000 0.0030 5 1.8000 0.0080 6 2.1500 0.0180 7 2.3000 0.0240 8 2.5000 0.0290 9 3.0000 0.0360 10 3.6000 0.0380 11 4.0000 0.0380 12 6.0000 0.0300 13 9.0000 0.0170 14 12.0000 0.0080 15 16.0000 0.0000 16 20.0000 0.0000 17 50.0000 0.0000 18 10000.0000 0.0000 H2 V=3 EHRHARDT ET AL 1968 ENERGY LOSS = 1.500 , LOWER LIMIT = 1.471 , UPPER LIMIT = 15.996 , QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 1.5000 0.0000 3 1.8000 0.0003 4 1.9000 0.0010 5 2.0000 0.0013 6 2.2000 0.0020 7 2.5000 0.0029 8 3.0000 0.0037 9 3.3000 0.0041 10 3.7000 0.0041 11 5.0000 0.0034 12 7.0000 0.0023 13 10.0000 0.0012 14 12.0000 0.0006 15 14.0000 0.0001 16 16.0000 0.0000 17 50.0000 0.0000 18 10000.0000 0.0000 H2 (B3SIG) EXCITATION - 84/07/06 ENERGY LOSS = 8.900 , LOWER LIMIT = 8.488 , UPPER LIMIT = 100.001 , QSCALE = 1.150000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 8.9000 0.0000 3 10.0000 0.1150 4 12.0000 0.2990 5 17.0000 0.3335 6 20.0000 0.2875 7 25.0000 0.2070 8 30.0000 0.1380 9 40.0000 0.0575 10 50.0000 0.0287 11 60.0000 0.0138 12 80.0000 0.0034 13 100.0000 0.0000 14 10000.0000 0.0000 H2 (B1SIG) EXCITATION - 84/07/06 ENERGY LOSS = 11.300 , LOWER LIMIT = 11.197 , UPPER LIMIT =10000.003 , QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 11.3000 0.0000 3 11.7000 0.1000 4 12.5000 0.0900 5 16.0000 0.2000 6 20.0000 0.3000 7 25.0000 0.4100 8 30.0000 0.4500 9 40.0000 0.4800 10 50.0000 0.4700 11 70.0000 0.4200 12 100.0000 0.3800 13 150.0000 0.3200 14 200.0000 0.2800 15 300.0000 0.2300 16 500.0000 0.1700 17 700.0000 0.1350 18 1000.0000 0.1000 19 1500.0000 0.0750 20 2000.0000 0.0600 21 3000.0000 0.0440 22 5000.0000 0.0290 23 7000.0000 0.0210 24 10000.0000 0.0160 H2 (C3PI) EXCITATION - 84/07/06 ENERGY LOSS = 11.750 , LOWER LIMIT = 11.584 , UPPER LIMIT = 150.001 , QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 11.7500 0.0000 3 11.8800 0.0800 4 12.2500 0.1400 5 12.9000 0.1200 6 13.5000 0.1400 7 15.5000 0.2000 8 20.0000 0.1200 9 25.0000 0.0720 10 30.0000 0.0430 11 35.0000 0.0300 12 40.0000 0.0200 13 50.0000 0.0104 14 60.0000 0.0070 15 70.0000 0.0040 16 100.0000 0.0014 17 150.0000 0.0000 18 10000.0000 0.0000 H2 (A3SIG) EXCITATION - 84/05/25 ENERGY LOSS = 11.800 , LOWER LIMIT = 11.687 , UPPER LIMIT = 69.995 , QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 11.8000 0.0000 3 13.0000 0.1100 4 14.0000 0.1200 5 15.0000 0.1220 6 16.0000 0.1210 7 17.0000 0.1160 8 20.0000 0.0850 9 25.0000 0.0550 10 30.0000 0.0350 11 50.0000 0.0080 12 70.0000 0.0000 13 100.0000 0.0000 14 10000.0000 0.0000 H2 (C1PI) EXCITATION - 84/05/25 ENERGY LOSS = 12.400 , LOWER LIMIT = 12.178 , UPPER LIMIT =10000.003 , QSCALE = 1.000000 ENERGY CROSS SECTION SECTION 1 0.0000 0.0000 2 12.4000 0.0000 3 13.0000 0.0300 4 14.0000 0.1000 5 16.0000 0.1800 6 18.0000 0.2300 7 22.0000 0.3200 8 30.0000 0.3900 9 40.0000 0.4000 10 60.0000 0.4000 11 80.0000 0.3800 12 100.0000 0.3600 13 150.0000 0.3000 14 200.0000 0.2600 15 300.0000 0.2100 16 500.0000 0.1600 17 700.0000 0.1200 18 1000.0000 0.0900 19 1500.0000 0.0660 20 2000.0000 0.0530 21 3000.0000 0.0380 22 5000.0000 0.0250 23 7000.0000 0.0190 24 10000.0000 0.0140 H2 G1SIG V = 2 EXCITATION (DAY, ANDERSON AND SHARPTON, 79) ENERGY LOSS = 13.860 , LOWER LIMIT = 13.493 , UPPER LIMIT =10000.003 , QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 13.8600 0.0000 3 14.0000 0.0000 4 15.0000 0.0000 5 16.0000 0.0000 6 18.0000 0.0000 7 20.0000 0.0000 8 25.0000 0.0000 9 28.0000 0.0001 10 30.0000 0.0001 11 35.0000 0.0001 12 50.0000 0.0001 13 70.0000 0.0000 14 100.0000 0.0000 15 200.0000 0.0000 16 500.0000 0.0000 17 700.0000 0.0000 18 1000.0000 0.0000 19 1500.0000 0.0000 20 2000.0000 0.0000 21 3000.0000 0.0000 22 5000.0000 0.0000 23 7000.0000 0.0000 24 10000.0000 0.0000 H2 (D3PI) EXCITATION - 84/05/25 ENERGY LOSS = 14.000 , LOWER LIMIT = 13.880 , UPPER LIMIT = 150.001 , QSCALE = 1.000000 ENERGY CROSS SECTION SECTION 1 0.0000 0.0000 2 14.0000 0.0000 3 15.6000 0.0410 4 20.0000 0.0310 5 25.0000 0.0200 6 30.0000 0.0120 7 40.0000 0.0053 8 50.0000 0.0028 9 70.0000 0.0010 10 100.0000 0.0004 11 150.0000 0.0000 12 10000.0000 0.0000 H2 DISSOCIATIVE EXCITATION TO N = 2 (LYMAN ALPHA) ENERGY LOSS = 15.000 , LOWER LIMIT = 14.783 , UPPER LIMIT =10000.003 , QSCALE = 1.000000 ENERGY CROSS SECTION SECTION 1 0.0000 0.0000 2 15.0000 0.0000 3 17.0000 0.0000 4 20.0000 0.0500 5 25.0000 0.0700 6 30.0000 0.0950 7 35.0000 0.1050 8 40.0000 0.1150 9 50.0000 0.1250 10 60.0000 0.1300 11 70.0000 0.1300 12 100.0000 0.1250 13 150.0000 0.1100 14 200.0000 0.0900 15 300.0000 0.0700 16 500.0000 0.0500 17 700.0000 0.0400 18 1000.0000 0.0360 19 1500.0000 0.0190 20 2000.0000 0.0154 21 3000.0000 0.1130 22 5000.0000 0.0073 23 7000.0000 0.0056 24 10000.0000 0.0042 H2 (RYDBERG SUM) EXCITATION - from Garvey et al, J. Appl. Phys. 48, 4353 (1977) ENERGY LOSS = 15.200 , LOWER LIMIT = 15.093 , UPPER LIMIT =10000.003 , QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 15.2000 0.0000 3 16.0000 0.0000 4 17.0000 0.0130 5 18.0000 0.0300 6 20.0000 0.0630 7 22.0000 0.0950 8 30.0000 0.1900 9 40.0000 0.2200 10 60.0000 0.2400 11 80.0000 0.2300 12 100.0000 0.2100 13 150.0000 0.1750 14 200.0000 0.1500 15 300.0000 0.1200 16 500.0000 0.0850 17 700.0000 0.0670 18 1000.0000 0.0520 19 1500.0000 0.0385 20 2000.0000 0.0310 21 3000.0000 0.0226 22 5000.0000 0.0150 23 7000.0000 0.0114 24 10000.0000 0.0085 H2 ENERGY LOSS = 15.400 , LOWER LIMIT = 15.299 , UPPER LIMIT =10000.003 , H2 IONIZATION, RAPP AND ENGLANDER-GOLDEN (1965) EBR= 8.300000, QSCALE= 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 15.4000 0.0000 3 19.5000 0.2490 4 21.0000 0.3360 5 23.0000 0.4390 6 25.0000 0.5240 7 28.0000 0.6310 8 32.0000 0.7300 9 40.0000 0.8650 10 50.0000 0.9400 11 70.0000 0.9670 12 100.0000 0.9320 13 150.0000 0.8000 14 200.0000 0.7120 15 300.0000 0.5710 16 500.0000 0.4040 17 700.0000 0.3160 18 1000.0000 0.2370 19 1500.0000 0.1720 20 2000.0000 0.1340 21 3000.0000 0.0970 22 5000.0000 0.0610 23 7000.0000 0.0460 24 10000.0000 0.0340 H2 DISSOCIATIVE EXCITATION TO N = 3 (BALMER ALPHA) ENERGY LOSS = 16.600 , LOWER LIMIT = 16.383 , UPPER LIMIT =10000.003 , QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 16.6000 0.0000 3 18.0000 0.0045 4 19.0000 0.0056 5 20.0000 0.0058 6 25.0000 0.0060 7 30.0000 0.0068 8 40.0000 0.0080 9 50.0000 0.0092 10 60.0000 0.0094 11 80.0000 0.0094 12 100.0000 0.0087 13 150.0000 0.0072 14 200.0000 0.0060 15 300.0000 0.0043 16 500.0000 0.0028 17 700.0000 0.0021 18 1000.0000 0.0015 19 1500.0000 0.0011 20 2000.0000 0.0008 21 3000.0000 0.0006 22 5000.0000 0.0004 23 7000.0000 0.0003 24 10000.0000 0.0002 REVISION OF PARTIAL IONIZATION CROSS SECTIONS See Straub et al, Phys. Rev. A 54, 2146 (1996) and Stebbings and Lindsay, J. Chem. Phys. 114, 4741 (2001). M. Hayashi has assembled references and derived an electron-H2 cross section set in a report entitled "Bibliography of electron and photon cross sections with atoms and molecules published in the 20th century - Hydrogen Molecules", National Institute for Fusion Research Research, Report NIFS-Data Series NIFS-DATA-82, Feb. 2004. The report does not contain a set of recommended cross sections, but has some relevant comments at the end. The report cited is one of a series that gives bibliographies of papers on electron collisions with various gases. Latest H2 change 04/30/04 ************************************************************ H2O NOV 1983 Badly in need of updata. However, when this set is used for moist air it gives good agreement with experiment (Davies unpublished). The only adjustable parameter was the probability of collisional stabilization of excited O2- by H2O in three-body attachment (Phelps unpublished). H2O MOMENTUM-TRANSFER CROSS SECTION ENERGY Effective Qm - defined in introduction 1 0.0000 50000.0000 2 0.0010 33000.0000 3 0.0020 16500.0000 4 0.0030 11000.0000 5 0.0050 6600.0000 6 0.0070 4710.0000 7 0.0085 3880.0000 8 0.0100 3300.0000 9 0.0150 2170.0000 10 0.0200 1610.0000 11 0.0300 1060.0000 12 0.0400 830.0000 13 0.0500 650.0000 14 0.0700 456.0000 15 0.1000 318.0000 16 0.1200 265.0000 17 0.1500 210.0000 18 0.1700 184.0000 19 0.2000 153.0000 20 0.2500 124.0000 21 0.3000 102.0000 22 0.3500 89.0000 23 0.4000 78.0000 24 0.5000 63.5000 25 0.7000 46.3000 26 1.0000 33.1000 27 1.2000 28.0000 28 1.3000 26.0000 29 1.5000 22.9000 30 1.7000 20.0000 31 1.9000 18.2000 32 2.1000 16.6000 33 2.2000 16.0000 34 2.5000 14.4000 35 2.8000 13.2000 36 3.0000 12.4000 37 3.3000 11.6000 38 3.6000 10.8000 39 4.0000 10.0000 40 4.5000 9.3000 41 5.0000 8.6000 42 6.0000 7.5500 43 7.0000 7.0500 44 8.0000 6.7000 45 10.0000 6.6000 46 12.0000 6.6500 47 15.0000 7.4000 48 17.0000 7.9000 49 20.0000 8.4000 50 25.0000 8.6000 51 30.0000 8.3000 52 50.0000 5.0000 53 75.0000 4.1000 54 100.0000 3.5000 55 150.0000 2.5000 56 200.0000 2.0000 H2O VIB EXCITATION DATA FROM LINDER ENERGY LOSS = 0.198 , LOWER LIMIT = 0.178 , UPPER LIMIT = 200.000 , QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 0.1980 0.0000 3 0.3500 1.8470 4 0.6000 0.8330 5 0.8000 0.4030 6 1.0000 0.3780 7 2.0000 0.2000 8 3.0000 0.1580 9 4.0000 0.1490 10 5.0000 0.1530 11 6.0000 0.1600 12 7.0000 0.1620 13 8.0000 0.1620 14 9.0000 0.1560 15 10.0000 0.1490 16 100.0000 0.0000 17 150.0000 0.0000 18 200.0000 0.0000 H2O VIBRATIONAL EXCITATION DATA FROM LINDER ENERGY LOSS = 0.469 , LOWER LIMIT = 0.432 , UPPER LIMIT = 100.000 , QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 0.4690 0.0000 3 0.6000 3.7700 4 0.8000 0.8000 5 1.0000 0.5090 6 2.0000 0.2960 7 3.0000 0.3070 8 4.0000 0.3730 9 5.0000 0.4380 10 6.0000 0.4880 11 7.0000 0.5110 12 8.0000 0.5020 13 9.0000 0.4510 14 10.0000 0.3530 15 100.0000 0.0000 16 150.0000 0.0000 H2O ENERGY LOSS = 1.100 , LOWER LIMIT = 4.877 , UPPER LIMIT = 6.604 , QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 5.0000 0.0000 3 5.5000 1.5000 4 6.0000 1.5000 5 6.5000 0.0000 6 200.0000 0.0000 H2O DISSOCIATIVE ATTACHMENT ENERGY LOSS = 5.600 , LOWER LIMIT = 5.486 , UPPER LIMIT = 100.000 , QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 5.6000 0.0000 3 6.0000 0.0212 4 6.2000 0.0378 5 6.3500 0.0500 6 6.6000 0.0486 7 6.8000 0.0378 8 7.0000 0.0272 9 7.2000 0.0189 10 7.4000 0.0114 11 7.6000 0.0083 12 7.7500 0.0070 13 8.2000 0.0098 14 8.4000 0.0121 15 8.6000 0.0136 16 8.8000 0.0136 17 9.0000 0.0126 18 9.6000 0.0071 19 10.0000 0.0052 20 10.2000 0.0044 21 10.8000 0.0044 22 11.4000 0.0053 23 11.7000 0.0067 24 12.0000 0.0064 25 13.0000 0.0037 26 17.0000 0.0000 27 100.0000 0.0000 28 200.0000 0.0000 H2O ENERGY LOSS = 6.300 , LOWER LIMIT = 6.198 , UPPER LIMIT = 11.100 , QSCALE = 1.000000 ENERGY CROSS SECTION SECTION 1 0.0000 0.0000 2 6.3000 0.0000 3 8.0000 0.1000 4 9.0000 0.1000 5 11.0000 0.0000 6 200.0000 0.0000 H2O ENERGY LOSS = 9.000 , LOWER LIMIT = 8.890 , UPPER LIMIT = 19.990 , QSCALE = 1.000000 ENERGY CROSS SECTION SECTION 1 0.0000 0.0000 2 9.0000 0.0000 3 11.0000 0.1200 4 13.0000 0.1200 5 20.0000 0.0000 6 200.0000 0.0000 H2O ENERGY LOSS = 12.000 , LOWER LIMIT = 11.887 , UPPER LIMIT = 24.994 , QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 12.0000 0.0000 3 13.0000 0.7000 4 16.0000 0.7000 5 25.0000 0.0000 6 200.0000 0.0000 H2O ENERGY LOSS = 12.500 , LOWER LIMIT = 12.395 , UPPER LIMIT = 100.000 , QSCALE = 1.000000 ENERGY CROSS SECTION SECTION 1 0.0000 0.0000 2 12.6000 0.0000 3 16.0000 1.0000 4 50.0000 0.0000 5 100.0000 0.0000 6 200.0000 0.0000 H2O IONIZATION FROM SHUTTEN ET AL ENERGY LOSS = 12.600 , LOWER LIMIT = 12.497 , UPPER LIMIT = 100.000 , QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 12.6000 0.0000 3 14.5000 0.0730 4 18.0000 0.2830 5 20.0000 0.4600 6 30.0000 0.9700 7 50.0000 1.5700 8 100.0000 2.1000 9 150.0000 1.9000 10 200.0000 1.7500 REVISION OF PARTIAL IONIZATION CROSS SECTIONS See Straub et al, Phys. Rev. A 54, 2146 (1996) and Stebbings and Lindsay, J. Chem. Phys. 114, 4741 (2001). RECENT DEVELOPMENTS: Stephen Biagi at sfb@hep.ph.liv.ac.uk has derived a set of electron-H2O cross sections. Communicated December 2003 M. Hayashi has assembled references and plots an electron-Ar cross section set in a report entitled "Bibliography of electron and photon cross sections with atoms and molecules published in the 20th century - water vapour -", National Institute for Fusion Research, Report NIFS-Data Series NIFS-DATA-81, Dec. 2003. The report cited is one of a series that reviews electron collisions with Ar, Xe, SF6, N2, etc. Latest H2O change 03/11/04 *********************************************************************** CROSS SECTIONS FOR NO FROM COHEN and PHELPS (unpublished) - 1969 Badly in need of revision, but fit swarm experiments reasonably well. NO MOMENTUM-TRANSFER CROSS SECTION ENERGY Effective Qm - Defined in introduction 1 0.0000 149.0000 2 0.0010 136.0000 3 0.0020 82.0000 4 0.0030 56.5000 5 0.0050 35.0000 6 0.0070 25.7000 7 0.0085 21.3000 8 0.0100 18.2000 9 0.0150 12.6000 10 0.0200 9.6000 11 0.0300 6.6000 12 0.0400 5.0000 13 0.0500 4.3000 14 0.0700 3.5500 15 0.1000 3.2000 16 0.1200 3.4000 17 0.1500 4.0000 18 0.1700 4.4000 19 0.2000 5.3000 20 0.2500 8.1000 21 0.3000 12.9000 22 0.3500 16.7000 23 0.4000 22.5000 24 0.5000 28.5000 25 0.7000 27.0000 26 1.0000 21.3000 27 1.2000 19.0000 28 1.3000 18.0000 29 1.5000 16.9000 30 1.7000 15.2000 31 1.9000 14.1000 32 2.1000 13.1000 33 2.2000 12.7000 34 2.5000 11.5000 35 2.8000 10.4000 36 3.0000 10.0000 37 3.3000 9.2000 38 3.6000 8.6000 39 4.0000 8.1000 40 4.5000 8.0000 41 5.0000 8.1000 42 6.0000 9.0000 43 7.0000 9.9000 44 8.0000 10.4000 45 10.0000 11.7000 46 12.0000 12.9000 47 15.0000 14.3000 48 17.0000 14.9000 49 20.0000 14.9000 50 25.0000 14.3000 51 30.0000 13.9000 52 50.0000 12.3000 53 75.0000 10.8000 54 100.0000 10.0000 NO VIBRATIONAL EXCITATION ENERGY LOSS = 0.230 , LOWER LIMIT = 0.284 , UPPER LIMIT = 100.001 , QSCALE = 0.200000(QSCALE USED ONLY FOR RECONSTRUCTING INPUT DATA - SEE N2 INTRO.) ENERGY CROSS SECTION 1 0.0000 0.0000 2 0.3000 0.0000 3 0.3500 0.7000 4 0.4000 0.0000 5 100.0000 0.0000 NO VIBRATIONAL EXCITATION ENERGY LOSS = 0.460 , LOWER LIMIT = 0.413 , UPPER LIMIT = 100.001 , QSCALE = 1.500000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 0.4500 0.0000 3 0.5000 14.2500 4 0.5500 0.0000 5 0.6000 0.0000 6 0.6500 10.5000 7 0.7000 0.0000 8 100.0000 0.0000 NO VIBRATIONAL EXCITATION ENERGY LOSS = 0.690 , LOWER LIMIT = 0.697 , UPPER LIMIT = 100.001 , QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 0.7500 0.0000 3 0.8000 6.0000 4 0.8500 0.0000 5 100.0000 0.0000 NO VIBRATIONAL EXCITATION ENERGY LOSS = 0.910 , LOWER LIMIT = 0.826 , UPPER LIMIT = 100.001 , QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 0.9000 0.0000 3 0.9500 4.0000 4 1.0000 0.0000 5 1.0500 0.0000 6 1.1000 2.5000 7 1.1500 0.0000 8 100.0000 0.0000 NO VIBRATIONAL EXCITATION ENERGY LOSS = 1.200 , LOWER LIMIT = 1.084 , UPPER LIMIT = 100.001 , QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 1.2000 0.0000 3 1.2500 1.0000 4 1.3000 0.0000 5 100.0000 0.0000 NO VIBRATIONAL EXCITATION ENERGY LOSS = 1.350 , LOWER LIMIT = 1.290 , UPPER LIMIT = 100.001 , QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 1.3500 0.0000 3 1.4000 0.5000 4 1.4500 0.0000 5 100.0000 0.0000 NO ENERGY LOSS = 5.500 , LOWER LIMIT = 5.392 , UPPER LIMIT = 100.001 , QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 5.5000 0.0000 3 5.7000 3.0000 4 6.0000 3.0000 5 13.0000 0.0000 6 100.0000 0.0000 NO ENERGY LOSS = 6.600 , LOWER LIMIT = 6.476 , UPPER LIMIT = 100.001 , QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 6.6000 0.0000 3 7.0000 0.0008 4 7.7000 0.0103 5 8.1000 0.0111 6 8.4000 0.0110 7 8.6000 0.0110 8 9.0000 0.0103 9 10.0000 0.0038 10 10.5000 0.0014 11 11.0000 0.0006 12 100.0000 0.0000 NO ENERGY LOSS = 9.500 , LOWER LIMIT = 9.391 , UPPER LIMIT = 100.001 , QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 9.5000 0.0000 3 22.0000 0.9560 4 30.0000 1.5200 5 38.0000 1.9800 6 45.0000 2.3000 7 50.0000 2.4700 8 60.0000 2.7300 9 70.0000 2.9000 10 80.0000 3.0300 11 90.0000 3.1000 12 100.0000 3.1300 For a recent analysis of beam and swarm data for electrons in NO see L. Josic, T. Wroblewski, Z. Lj. Petrovic, J. Mechlinska-Drewko, and G.P. Karwasz, Chem. Phys. Lett. (in press) (2001). added 11/28/01 REVISION OF TOTAL AND PARTIAL IONIZATION CROSS SECTIONS See Lindsay et al, J. Chem. Phys. 112, 9404 (2000) and Stebbings and Lindsay, J. Chem. Phys. 114, 4741 (2001). Latest NO change 01/10/02 ***************************************************************** SF6 See Phelps and Van Brunt, J. Appl. Phys. 64, 4269 (1988) SF6 MOMENTUM-TRANSFER CROSS SECTION ENERGY Effective Qm - Defined in introduction 1 0.0000 2700.0000 2 0.0010 2600.0000 3 0.0020 1900.0000 4 0.0030 1559.0000 5 0.0050 1200.0000 6 0.0070 1000.0000 7 0.0085 890.0000 8 0.0100 800.0000 9 0.0150 660.0000 10 0.0200 560.0000 11 0.0300 430.0000 12 0.0400 340.0000 13 0.0500 270.0000 14 0.0700 175.0000 15 0.1000 90.0000 16 0.1200 62.0000 17 0.1500 35.0000 18 0.1700 27.0000 19 0.2000 19.0000 20 0.2500 12.5000 21 0.3000 9.7000 22 0.3500 8.0000 23 0.4000 7.3000 24 0.5000 7.0000 25 0.7000 7.1000 26 1.0000 7.7000 27 1.2000 8.0000 28 1.3000 8.2000 29 1.5000 8.8000 30 1.7000 9.2000 31 1.9000 9.7000 32 2.1000 10.0000 33 2.2000 10.1000 34 2.5000 10.8000 35 2.8000 11.5000 36 3.0000 11.6000 37 3.3000 12.0000 38 3.6000 12.1000 39 4.0000 12.5000 40 4.5000 13.1000 41 5.0000 13.5000 42 6.0000 14.0000 43 7.0000 14.5000 44 8.0000 15.0000 45 10.0000 16.0000 46 12.0000 16.2000 47 15.0000 16.5000 48 17.0000 16.5000 49 20.0000 16.5000 50 25.0000 16.0000 51 30.0000 15.0000 52 50.0000 14.0000 53 70.0000 12.7000 54 100.0000 10.8000 55 150.0000 9.0000 56 200.0000 7.9000 57 300.0000 6.6000 58 500.0000 5.0000 59 700.0000 4.2000 60 1000.0000 3.5000 ATTACHMENT TO FORM SF6- PHELPS 5/85 ENERGY LOSS = 0.000 , LOWER LIMIT = 0.000 , UPPER LIMIT = 0.490 , QSCALE = 1.000000 ENERGY CROSS SECTION ION 1 0.0000 1400.0000 2 0.0010 1300.0000 3 0.0020 900.0000 4 0.0050 570.0000 5 0.0070 480.0000 6 0.0100 400.0000 7 0.0200 285.0000 8 0.0300 230.0000 9 0.0500 147.0000 10 0.0700 95.0000 11 0.1000 49.0000 12 0.1200 33.0000 13 0.1500 16.0000 14 0.1700 9.5000 15 0.2000 4.2000 16 0.2500 1.0000 17 0.3000 0.0000 18 1000.0000 0.0000 SF6 ENERGY LOSS = 0.000 , LOWER LIMIT = 0.000 , UPPER LIMIT = 2.012 , ATTACHMENT TO FORM SF5- KLINE ET AL QSCALE = 0.650000(QSCALE USED ONLY FOR RECONSTRUCTING INPUT DATA - SEE N2 INTRO.) ENERGY CROSS SECTION ION 1 0.0000 2.2750 2 0.0200 2.0800 3 0.0500 1.6250 4 0.0750 1.4950 5 0.1000 1.6640 6 0.2000 2.5480 7 0.3000 2.9835 8 0.3500 3.0680 9 0.4000 2.8990 10 0.6000 1.4040 11 0.8000 0.6142 12 1.5000 0.0000 13 10.0000 0.0000 14 1000.0000 0.0000 SF6 ATTACHMENT TO FORM F-, F2-, AND SF4-. CHANTRY 2/78 ENERGY LOSS = 0.000 , LOWER LIMIT = 0.000 , UPPER LIMIT = 19.995 , QSCALE = 0.650000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 1.3000 0.0000 3 1.6000 0.0001 4 1.9000 0.0001 5 2.1000 0.0002 6 2.4000 0.0013 7 2.5000 0.0020 8 2.7000 0.0017 9 2.9000 0.0002 10 3.1000 0.0000 11 3.5000 0.0007 12 4.0000 0.0065 13 4.5000 0.0228 14 5.0000 0.0370 15 5.5000 0.0345 16 6.0000 0.0215 17 6.5000 0.0104 18 7.0000 0.0042 19 7.5000 0.0027 20 8.0000 0.0052 21 9.0000 0.0084 22 10.0000 0.0055 23 11.0000 0.0117 24 12.0000 0.0097 25 13.0000 0.0049 26 15.0000 0.0000 27 100.0000 0.0000 28 1000.0000 0.0000 SF6 VIBRATIONAL EXCITATION ROHR AND HAYASHI ENERGY LOSS = 0.095 , LOWER LIMIT = 0.077 , UPPER LIMIT = 1000.008 , QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 0.0950 0.0000 3 0.1500 34.0000 4 0.2000 20.0000 5 0.2500 14.8000 6 0.3000 12.6000 7 0.5000 11.1000 8 1.0000 10.0000 9 1.5000 6.5000 10 2.0000 4.6000 11 2.5000 3.5000 12 5.0000 1.8000 13 10.0000 0.9000 14 20.0000 0.4500 15 100.0000 0.0900 16 1000.0000 0.0090 SF6 ELECTRONIC EXCITATION FROM HAYASHI ENERGY LOSS = 10.000 , LOWER LIMIT = 9.494 , UPPER LIMIT = 1000.008 , QSCALE = 0.500000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 10.0000 0.0000 3 12.0000 0.5000 4 14.0000 0.9000 5 20.0000 0.5000 6 25.0000 0.4000 7 40.0000 0.2250 8 70.0000 0.1350 9 100.0000 0.1000 10 150.0000 0.0700 11 200.0000 0.0550 12 400.0000 0.0300 13 700.0000 0.0185 14 1000.0000 0.0125 SF6 EXCITATION - ALLOWED TRANSITION - SIMPSON,HITCHCOCK ENERGY LOSS = 11.700 , LOWER LIMIT = 10.991 , UPPER LIMIT = 1000.008 , QSCALE = 0.900000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 11.7000 0.0000 3 14.5000 0.0756 4 17.5000 0.1710 5 22.5000 0.5580 6 26.0000 1.0260 7 30.0000 1.7370 8 36.0000 2.7360 9 45.0000 3.7800 10 60.0000 4.5720 11 90.0000 5.6520 12 120.0000 6.1650 13 150.0000 6.2730 14 200.0000 6.1470 15 250.0000 5.7600 16 300.0000 5.4810 17 500.0000 4.4100 18 1000.0000 2.8800 SF6 EXCITATION - ALLOWED TRANSITION - SIMPSON,HITCHCOCK ENERGY LOSS = 15.000 , LOWER LIMIT = 14.500 , UPPER LIMIT = 1000.008 , QSCALE = 0.720000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 15.0000 0.0000 3 17.5000 0.0605 4 19.0000 0.1368 5 22.5000 0.4464 6 26.0000 0.8208 7 30.0000 1.3896 8 36.0000 2.1888 9 45.0000 3.0240 10 60.0000 3.6576 11 90.0000 4.5216 12 120.0000 4.9320 13 150.0000 5.0184 14 200.0000 4.9176 15 250.0000 4.6080 16 300.0000 4.3848 17 500.0000 3.5280 18 1000.0000 2.3040 SF6 IONIZATION CHANTRY THRESHOLD THEN RAPP ENERGY LOSS = 15.700 , LOWER LIMIT = 15.583 , UPPER LIMIT = 1000.008 , EBR= 10.000000, QSCALE= 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 15.7000 0.0000 3 16.4500 0.0080 4 17.3000 0.0330 5 18.1000 0.0770 6 19.5000 0.1200 7 20.5000 0.1550 8 21.0000 0.3200 9 22.0000 0.4600 10 23.0000 0.6200 11 24.0000 0.8200 12 26.0000 1.2600 13 30.0000 1.9300 14 36.0000 3.0400 15 45.0000 4.1000 16 60.0000 5.3000 17 90.0000 6.2800 18 120.0000 6.8500 19 150.0000 6.9700 20 200.0000 6.8300 21 250.0000 6.4000 22 300.0000 6.0900 23 500.0000 4.9000 24 1000.0000 3.1000 REVISION OF PARTIAL IONIZATION CROSS SECTIONS See Rejoub et al, J. Phys. B 34, 1289 (2001). M. Hayashi has assembled references and derived an electron-Ar cross section set in a report entitled "Bibliography of electron and photon cross sections with atoms and molecules published in the 20th century - sulphur hexafluoride", National Institute for Fusion Research Research, Report NIFS-Data Series NIFS-DATA-76, May 2003. In an appendix to this reoprt Hayashi gives a set of recommended electron-SF6 cross sections. The report cited is one of a series that reviews electron collisions with Ar, Xe, and N2. Latest SF6 change 12/29/03 ********************************************************************* HELIUM - 1987 10:38:36 He MOMENTUM TRANSFER - FROM Crompton, Elford, and Jory, Australian J. Phys. 20, 369 (1967); Crompton, Elford, and Robertson, ibid 23, 667 (1970); Miloy and Crompton, Phys. Rev. A 15, 1847 (1977) AT LOW ENERGY, and from Hayashi, Institute of Plasma Physics Report No. IPPJ-AM-19, (1981) AT HIGH ENERGIES entry # en(eV) Effective Qm - Defined in introduction(1E-16*cm^2) 1 0 4.96 2 0.001 4.98 3 0.002 5.02 4 0.003 5.07 5 0.005 5.12 6 0.007 5.15 7 0.0085 5.18 8 0.01 5.21 9 0.015 5.28 10 0.02 5.35 11 0.03 5.46 12 0.04 5.54 13 0.05 5.62 14 0.07 5.74 15 0.1 5.86 16 0.12 5.94 17 0.15 6.04 18 0.17 6.08 19 0.2 6.16 20 0.25 6.27 21 0.3 6.35 22 0.35 6.42 23 0.4 6.49 24 0.5 6.59 25 0.7 6.73 26 1 6.85 27 1.2 6.91 28 1.3 6.92 29 1.5 6.96 30 1.7 6.97 31 1.9 6.98 32 2.1 6.98 33 2.2 6.98 34 2.5 6.96 35 2.8 6.92 36 3 6.89 37 3.3 6.82 38 3.6 6.73 39 4 6.6 40 4.5 6.49 41 5 6.31 42 6 6 43 7 5.68 44 8 5.35 45 10 4.72 46 12 4.2 47 15 3.5 48 17 3.15 49 20 2.64 50 25 2.05 51 30 1.74 52 50 1.1 53 75 0.88 54 100 0.75 55 150 0.605 56 200 0.52 57 300 0.41 58 500 0.3 59 750 0.235 60 1000 0.17 HE EXCITATION - FROM 1960'S ANALYSIS OF MEIR-LEIBNITZ AND OTHERS BY PHELPS ELOSS=19.80,EMIN=19.6,EMAX=1000.,QSCALE=1.0 1 0 0 2 19.8 0 3 20.02 0.041 4 20.24 0.046 5 21.45 0.042 6 21.8 0.055 7 22.45 0.055 8 24.22 0.073 9 25.32 0.092 10 27.53 0.108 11 29.75 0.116 12 34.18 0.121 13 46.3 0.121 14 100 0.115 15 200 0.1 16 400 0.06 17 700 0.035 18 1000 0.025 HE TOTAL IONIZATION - RAPP AND ENGLANDER-GOLDEN, 1965 ELOSS=24.6,EMIN=24.0,EMAX=1000.,QSCALE=1.0,EBR=15.8 (30 eV entry corrected 3/23/02) 1 0 0 2 24.6 0 3 30 0.071 4 34 0.121 5 40 0.178 6 45 0.212 7 50 0.242 8 60 0.289 9 70 0.313 10 80 0.332 11 90 0.344 12 100 0.351 13 150 0.346 14 200 0.324 15 300 0.29 16 500 0.22 17 700 0.18 18 1000 0.14 Our recommendataion for a "complete" set of electron-helium cross sections is Alves and Ferreira, J. Phys. D 24, 561 (1991). This set has the very important adavantage that the authors show the consistency of their cross section set with swarm experiments. Unfortunately, this set does not appear to be available in tabulated or analytic form in a publication or on the Web. 2/20/01 A new set of electron helium cross sections has been published by Ralchenko et al, Research Report NIFS-Data-59, Nagoya, October 2000. As far as I know this set has not been tested against experimental swarm data. I do not know whether it is available on the Web. ****************************************************************** NEON - BASED ON TACHIBANA, Phys. Rev. 1986 Because of the use of the 2-term spherical harmonic the Qm values listed here are effective values as defined in the introduction. MOMENTUM-TRANSFER CROSS SECTION ENERGY Effective Qm - Defined in introduction 1 0.0000 0.2030 2 0.0010 0.2550 3 0.0020 0.2800 4 0.0030 0.3000 5 0.0050 0.3250 6 0.0070 0.3370 7 0.0085 0.3500 8 0.0100 0.3700 9 0.0150 0.4000 10 0.0200 0.4230 11 0.0300 0.4650 12 0.0400 0.5050 13 0.0500 0.5400 14 0.0700 0.6000 15 0.1000 0.7000 16 0.1200 0.7600 17 0.1500 0.8250 18 0.1700 0.8700 19 0.2000 0.9300 20 0.2500 1.0200 21 0.3000 1.0900 22 0.3500 1.1400 23 0.4000 1.2100 24 0.5000 1.3100 25 0.7000 1.4800 26 1.0000 1.6200 27 1.2000 1.6900 28 1.3000 1.7000 29 1.5000 1.7500 30 1.7000 1.7700 31 1.9000 1.7900 32 2.1000 1.8000 33 2.2000 1.8100 34 2.5000 1.8500 35 2.8000 1.8800 36 3.0000 1.9000 37 3.3000 1.9300 38 3.6000 1.9600 39 4.0000 1.9800 40 4.5000 2.0300 41 5.0000 2.0800 42 6.0000 2.1300 43 7.0000 2.2300 44 8.0000 2.3500 45 10.0000 2.4500 46 12.0000 2.6000 47 15.0000 2.8300 48 17.0000 2.9500 49 20.0000 3.1500 50 25.0000 3.2000 51 30.0000 3.2000 52 50.0000 2.8000 53 75.0000 2.5000 54 100.0000 2.4000 55 150.0000 2.3000 56 200.0000 2.1000 NE 3P2 EXCITATION - TACHIBANA - 86 ENERGY LOSS = 16.200 , LOWER LIMIT = 15.977 , UPPER LIMIT = 200.000 , QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 16.2000 0.0000 3 16.8000 0.0022 4 16.9000 0.0056 5 17.0000 0.0036 6 17.2000 0.0025 7 17.4000 0.0025 8 17.6000 0.0029 9 17.8000 0.0033 10 18.0000 0.0038 11 18.2000 0.0043 12 18.4000 0.0046 13 18.5000 0.0043 14 18.5700 0.0096 15 18.6000 0.0057 16 18.6700 0.0107 17 18.7000 0.0071 18 18.8000 0.0045 19 19.0000 0.0050 20 20.0000 0.0065 21 25.0000 0.0103 22 30.0000 0.0101 23 35.0000 0.0076 24 40.0000 0.0058 25 50.0000 0.0043 26 60.0000 0.0034 27 70.0000 0.0026 28 80.0000 0.0020 29 100.0000 0.0012 30 200.0000 0.0000 ENERGY LOSS = 16.670 , LOWER LIMIT = 15.977 , UPPER LIMIT = 200.000 , NE 3P1 EXCITATION - TACHIBANA - 86 QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 16.6700 0.0000 3 16.8000 0.0008 4 16.8500 0.0011 5 16.9500 0.0028 6 17.0000 0.0026 7 17.2000 0.0019 8 17.4000 0.0018 9 17.6000 0.0018 10 17.8000 0.0020 11 18.0000 0.0022 12 18.2000 0.0024 13 18.4000 0.0026 14 18.6000 0.0029 15 18.7000 0.0040 16 18.8000 0.0030 17 19.0000 0.0033 18 20.0000 0.0048 19 25.0000 0.0084 20 30.0000 0.0116 21 40.0000 0.0119 22 60.0000 0.0099 23 80.0000 0.0087 24 100.0000 0.0078 25 120.0000 0.0072 26 140.0000 0.0066 27 160.0000 0.0061 28 200.0000 0.0053 NE 3P0 EXCITATION - TACHIBANA - 86 ENERGY LOSS = 16.720 , LOWER LIMIT = 16.383 , UPPER LIMIT = 200.000 , QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 16.7200 0.0000 3 16.8000 0.0005 4 16.9000 0.0013 5 17.0000 0.0008 6 17.2000 0.0006 7 17.4000 0.0006 8 17.6000 0.0007 9 17.8000 0.0008 10 18.0000 0.0009 11 18.2000 0.0010 12 18.4000 0.0011 13 18.5000 0.0010 14 18.5700 0.0022 15 18.6000 0.0013 16 18.6700 0.0025 17 18.7000 0.0016 18 18.8000 0.0010 19 19.0000 0.0012 20 20.0000 0.0015 21 25.0000 0.0024 22 30.0000 0.0023 23 35.0000 0.0019 24 40.0000 0.0016 25 50.0000 0.0012 26 60.0000 0.0010 27 70.0000 0.0008 28 80.0000 0.0007 29 100.0000 0.0004 30 200.0000 0.0000 NE 1P1 EXCITATION - TACHIBANA - 86 ENERGY LOSS = 16.850 , LOWER LIMIT = 16.485 , UPPER LIMIT = 200.000 , QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 16.8500 0.0000 3 16.9500 0.0119 4 17.0000 0.0110 5 17.2000 0.0080 6 17.4000 0.0076 7 17.6000 0.0078 8 17.8000 0.0085 9 18.0000 0.0094 10 18.2000 0.0103 11 18.4000 0.0110 12 18.6000 0.0124 13 18.7000 0.0170 14 18.8000 0.0129 15 19.0000 0.0140 16 20.0000 0.0195 17 25.0000 0.0480 18 30.0000 0.0715 19 35.0000 0.0840 20 40.0000 0.0940 21 60.0000 0.1130 22 80.0000 0.1000 23 100.0000 0.1000 24 120.0000 0.0910 25 140.0000 0.0850 26 160.0000 0.0790 27 180.0000 0.0730 28 200.0000 0.0670 NE FORBIDDEN - TACHIBANA - 86 ENERGY LOSS = 18.380 , LOWER LIMIT = 18.491 , UPPER LIMIT = 200.000 , QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 18.3800 0.0000 3 19.0000 0.0064 4 20.0000 0.0156 5 21.0000 0.0235 6 22.0000 0.0300 7 24.0000 0.0395 8 28.0000 0.0503 9 30.0000 0.0525 10 32.0000 0.0537 11 36.0000 0.0545 12 40.0000 0.0538 13 50.0000 0.0487 14 60.0000 0.0426 15 80.0000 0.0260 16 100.0000 0.0150 17 120.0000 0.0100 18 140.0000 0.0060 19 160.0000 0.0030 20 180.0000 0.0010 21 200.0000 0.0005 22 300.0000 0.0000 NE ALLOWED - TACHIBANA - 86 ENERGY LOSS = 20.000 , LOWER LIMIT = 18.999 , UPPER LIMIT = 200.000 , QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 20.0000 0.0000 3 22.0000 0.0070 4 25.0000 0.0166 5 30.0000 0.0282 6 35.0000 0.0310 7 40.0000 0.0316 8 50.0000 0.0308 9 60.0000 0.0290 10 70.0000 0.0285 11 80.0000 0.0283 12 100.0000 0.0275 13 150.0000 0.0265 14 200.0000 0.0260 NE TOTAL IONIZATION ENERGY LOSS = 21.560 , LOWER LIMIT = 20.980 , UPPER LIMIT = 200.000, EBR= 24.200000, QSCALE= 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 21.5600 0.0000 3 22.0000 0.0033 4 23.0000 0.0146 5 24.0000 0.0260 6 25.0000 0.0380 7 27.0000 0.0632 8 30.0000 0.1082 9 40.0000 0.2279 10 50.0000 0.3379 11 60.0000 0.4356 12 70.0000 0.5139 13 80.0000 0.5773 14 90.0000 0.6283 15 100.0000 0.6670 16 150.0000 0.7726 17 200.0000 0.7814 18 300.0000 0.6500 A more detailed set of electron-neon excitation cross sections is given by Puech and Mizzi, J. Phys. D 24, 1974 (1991). This set has been compared with swarm experiments and is available in analytic form. A worrisome aspect of this set is that the authors find a large discrepancy between the calculated metastable excitation coefficients and the measured values of Tachibana and Phelps, Phys. Rev. A 36, 999 (1987). This discrepancy occurs even at E/N that are low enough so the cascade effects should be negligible. **************************************************************************** ARGON Originally from Yamabe, Buckman, and Phelps, Phys. Rev. 27, 1345 (1983). For energies below 3.0 eV these momentum transfer cross sections appear to have been based on Miloy, Crompton, Rees, and Robertson, Aust. J. Phys. 30, 61 (1977). For higher energies the elastic momentum transfer cross section appears to be based on the tabulation by M. Hayashi, Institute of Plasma Physics Report No. IPPJ-AM-19, 1981. See note at end of this Ar section. REVISION OF 10/15/97. The momentum transfer cross sections listed for high energies were been revised as of 10/15/97 because of an error in the previous listing. The previous listing appeares to be the elastic momentum transfer cross section for energies up to 100 eV and the effective momentum transfer cross section for higher energies. The effective momentum transfer cross section is the momentum transfer cross section that should be used in the two-term spherical harmonic expansion. It is equal to the sum of the elastic momentum transfer cross section and the sum of the "total" (angular integrated) inelastic cross sections. For discussions of this point see Baraff and Buchsbaum, Phys. Rev. 130, 1007 (1963) and Pitchford and Phelps, Phys. Rev. A 25, 540 (1982). This revision also includes extension of the total excitation cross section to 10 keV. At energies above 30 eV we have used values based on deHeer et al. that are about 10% lower than those of Eggarater, J. Chem. Phys. 62, 833 (1975) and those based on Peterson and Allen, J. Chem. Phys. 56, 6068 (1972). The effects of these changes on electron transport and reaction rate coefficients have been incorporated in the file TRANSPOR.TXT. EFFECTIVE MOMENTUM-TRANSFER CROSS SECTION ENERGY Effective Qm - Defined in introduction 1 0.0000 7.50 2 0.0010 7.50 3 0.0020 7.10 4 0.0030 6.70 5 0.0050 6.10 6 0.0070 5.40 7 0.0085 5.05 8 0.0100 4.60 9 0.0150 3.75 10 0.0200 3.25 11 0.0300 2.50 12 0.0400 2.05 13 0.0500 1.73 14 0.0700 1.130 15 0.1000 0.590 16 0.1200 0.400 17 0.1500 0.230 18 0.1700 0.160 19 0.2000 0.103 20 0.2500 0.091 21 0.3000 0.153 22 0.3500 0.235 23 0.4000 0.33 24 0.5000 0.51 25 0.7000 0.86 26 1.0000 1.38 27 1.2000 1.66 28 1.3000 1.82 29 1.5000 2.10 30 1.7000 2.3 31 1.9000 2.5 32 2.1000 2.8 33 2.2000 2.9 34 2.5000 3.3 35 2.8000 3.8 36 3.0000 4.1 37 3.3000 4.5 38 3.6000 4.9 39 4.0000 5.4 40 4.5000 6.1 41 5.0000 6.7 42 6.0000 8.1 43 7.0000 9.6 44 8.0000 11.7 45 10.0000 15.0 46 12.0000 15.2 47 15.0000 14.1 48 17.0000 13.1 49 20.0000 11.0 50 25.0000 9.45 51 30.0000 8.74 52 50.0000 6.90 53 75.0000 5.85 54 100.0000 5.25 55 150. 4.24 56 200. 3.76 57 300. 3.02 58 500. 2.10 59 700. 1.64 60 1000. 1.21 61 1500. 0.88 62 2000. 0.66 63 3000. 0.45 64 5000. 0.31 65 7000. 0.23 66 10000. 0.175 TOTAL EXCITATION LOW E SCHAPERT-SCHEIBNER, HI E UNKNOWN ENERGY LOSS = 11.500 , LOWER LIMIT = 11.378 , UPPER LIMIT = 10000.0 , QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 11.5000 0.0000 3 12.7000 0.0700 4 13.7000 0.1410 5 14.7000 0.2280 6 15.9000 0.3800 7 16.5000 0.4800 8 17.5000 0.6100 9 18.5000 0.7500 10 19.9000 0.9200 11 22.2000 1.1700 12 24.7000 1.3300 13 27.0000 1.4200 14 30.0000 1.4400 15 33.0000 1.4100 16 35.3000 1.3400 17 42.0000 1.2500 18 48.0000 1.1600 19 52.0000 1.1100 20 70. 0.94 21 100. 0.76 22 150. 0.60 23 200. 0.505 24 300. 0.395 25 500. 0.28 26 700. 0.225 27 1000. 0.177 28 1500. 0.136 29 2000. 0.11 30 3000. 0.083 31 5000. 0.058 32 7000. 0.045 33 10000. 0.035 AR IONIZATION - RAPP-SCHRAM ENERGY LOSS = 15.800 , LOWER LIMIT = 15.686 , UPPER LIMIT = 10000.0 , EBR= 10.000000, QSCALE= 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 15.8000 0.0000 3 16.0000 0.0202 4 17.0000 0.1340 5 18.0000 0.2940 6 20.0000 0.6300 7 22.0000 0.9300 8 23.7500 1.1500 9 25.0000 1.3000 10 26.5000 1.4500 11 30.0000 1.8000 12 32.5000 1.9900 13 35.0000 2.1700 14 37.5000 2.3100 15 40.0000 2.3900 16 50.0000 2.5300 17 55.0000 2.6000 18 100.0000 2.8500 19 150.0000 2.5200 20 200.0000 2.3900 21 300.0000 2.0000 22 500.0000 1.4500 23 700.0000 1.1500 24 1000.0000 0.8600 25 1500.0000 0.6400 26 2000.0000 0.5200 27 3000.0000 0.3600 28 5000.0000 0.2400 29 7000.0000 0.1800 30 10000.0000 0.1350 ELASTIC MOMENTUM-TRANSFER CROSS SECTION - added 11/2/97 This elastic momentum transfer cross section is provided for use by modelers with, for example, Monte Carlo codes that require the elastic momentum cross section rather than the effective momentum transfer cross section given above. This cross section is the same as above for energies below the first excitation potential. For higher energies it is from the tabulation by M. Hayashi, Institute of Plasma Physics Report No. IPPJ-AM-19, 1981. When the sum of the inelastic cross sections given above is added to the elastic momentum transfer cross section we obtain an effective momentum transfer cross section in agreement with that tabulated above to within their respective uncertainties. ENERGY CROSS SECTION 1 0 7.5 2 0.001 7.5 3 0.002 7.1 4 0.003 6.7 5 0.005 6.1 6 0.007 5.4 7 0.0085 5.05 8 0.01 4.6 9 0.015 3.75 10 0.02 3.25 11 0.03 2.5 12 0.04 2.05 13 0.05 1.73 14 0.07 1.13 15 0.1 0.59 16 0.12 0.4 17 0.15 0.23 18 0.17 0.16 19 0.2 0.103 20 0.25 0.091 21 0.3 0.153 22 0.35 0.235 23 0.4 0.33 24 0.5 0.51 25 0.7 0.86 26 1 1.38 27 1.2 1.66 28 1.3 1.82 29 1.5 2.1 30 1.7 2.3 31 1.9 2.5 32 2.1 2.8 33 2.2 2.9 34 2.5 3.3 35 2.8 3.8 36 3 4.1 37 3.3 4.5 38 3.6 4.9 39 4 5.4 40 4.5 6.1 41 5 6.7 42 6 8.1 43 7 9.6 44 8 11.7 45 10 15 46 12 14.5 47 15 13.7 48 17 11 49 20 9.2 50 25 6.8 51 30 5.5 52 50 3.2 53 75 2.15 54 100 1.6 55 150 1.1 56 200 0.88 57 300 0.6 58 500 0.37 59 700 0.26 60 1000 0.17 61 1500 0.098 62 2000 0.066 63 3000 0.035 64 5000 0.015 65 7000 0.0088 66 10000 0.0049 THE FOLLOWING ARE NOT PART OF THE SET OF CROSS SECTIONS USED TO CALCULATE THE TRANSPORT AND IONIZATION COEFFICIENTS FOR Ar LISTED IN THE FILE TRANSPOR.TXT. Their contributions to the energy loss, etc. are included in the "total" excitation cross sections listed above. Rate coefficients and spatial excitation coefficients for the following three levels of Ar can be calculated by using the cross sections listed below by first multiplying each cross section by, for example, 1E-4; using BACKPRO or equivalent to calculate rate coefficients for the combined set of cross sections; and multiplying the rate coefficient for these proceses by 1E4. This procedure preserves the energy balance, transport coefficients, and ionization coefficients calculated with the preceding set of cross sections. Excitation of 2p9 level - 811.5 nm emission ENERGY LOSS = 13.100 , LOWER LIMIT = 12.977 , UPPER LIMIT = 10000.0 QSCALE = 1.00 ENERGY CROSS SECTION 1 0.0000 0.0000 2 13.1000 0.0000 3 13.2000 0.0004 4 13.7000 0.0240 5 14.7000 0.0650 6 15.9000 0.1140 7 16.5000 0.1400 8 17.5000 0.1800 9 18.5000 0.2200 10 19.9000 0.2400 11 22.2000 0.2600 12 24.7000 0.2200 13 27.0000 0.1900 14 30.0000 0.1560 15 33.0000 0.1250 16 35.3000 0.1100 17 42.0000 0.0670 18 48.0000 0.0440 19 52.0000 0.0360 20 70.0000 0.0180 21 100.0000 0.0110 22 200.0000 0.0020 23 500.0000 0.0000 24 10000.0000 0.0000 Excitation of 2p7 level - 810.4 nm emission ENERGY LOSS = 13.150 , LOWER LIMIT = 12.977 , UPPER LIMIT = 10000.0 , QSCALE = 1.00 ENERGY CROSS SECTION 1 0.0000 0.0000 2 13.1500 0.0000 3 13.3000 0.00045 4 13.5000 0.00135 5 14.5000 0.0044 6 16.0000 0.0085 7 16.5000 0.0104 8 17.5000 0.0134 9 18.1500 0.0150 10 20.0000 0.0460 11 22.5000 0.0500 12 25.0000 0.0390 13 27.0000 0.0350 14 30.0000 0.0300 15 33.0000 0.0270 16 35.0000 0.0250 17 42.0000 0.0210 18 48.0000 0.0190 19 52.0000 0.0180 20 70.0000 0.0155 21 100.0000 0.0130 22 200.0000 0.0100 23 500.0000 0.0056 24 10000.0000 0.00047 Excitation of 2s and 3d levels ENERGY LOSS = 14.200 , LOWER LIMIT = 12.977 , UPPER LIMIT = 10000.00 , QSCALE = 1.00 ENERGY CROSS SECTION 1 0.0000 0.0000 2 14.2000 0.0000 3 14.5000 0.0225 4 15.0000 0.0600 5 16.0000 0.1350 6 16.2000 0.1500 7 16.5000 0.1900 8 17.5000 0.2100 9 18.5000 0.2400 10 20.0000 0.2500 11 22.5000 0.2400 12 25.0000 0.2300 13 27.0000 0.2200 14 30.0000 0.2100 15 33.0000 0.2070 16 35.0000 0.2050 17 42.0000 0.1900 18 48.0000 0.1750 19 52.0000 0.16500 20 70.0000 0.13000 21 100.0000 0.09600 22 200.0000 0.05400 23 500.0000 0.03200 24 10000.0000 0.00260. ANALYTIC CROSS SECTIONS (corrected 04/27/02-Thanks to Z. Donko) The following are analytic approximations to the elastic momentum transfer cross section Qmel, the effective momentum transfer cross section Qmeff, the total excitation cross section Qex, and the ionization cross section Qion. The combination Qmeff, Qex, and Qion has been used in the two-term Boltzmann code ELENDIF and to obtain calculated ionization coefficients that are within 15% of the experimental data of Kruithof (1940) for E/n from 30 to 300 Td. The cross sections are in m^2 and the energies, en, are in eV. Qex = 0.85*(4E-22*(en-11.5)^1.1*(1+(en/15)^2.8)/(1+(en/23)^5.5) + 2.7E-22*(en-11.5)/(1+(en/80))^1.9) Qion = 9.7E-18*(en-15.8)/(70+en)^2 + 6E-22*(en-15.8)^2*exp(-en/9) Qmel = (ABS(6/(1+(en/0.1)+(en/0.6)^2)^3.3 - 1.1*en^1.4/(1+(en/15)^1.2)/(1+(en/5.5)^2.5+(en/60)^4.1)^0.5) + 0.05/(1+en/10)^2 + 0.01*en^3/(1+(en/12)^6))*1.0E-20 One should use Qmeff = Qmel + Qex + Qion for the effective momentum transfer cross section in the two-term Boltzmann equation. OTHER CROSS SECTION SOURCES: A detailed published set of electron-Ar cross sections is V. Puech and L. Torchin, J. Phys. D, 19, 2309 (1986). Unfortunately, tabulations of this cross section set do not appear to be publically available. A disturbing feature of the Puech and Torchin set of cross sections is the large discrepancy between calculated and measured [Tachibana, Phys. Rev. A 34, 1007 (1986)] metastable excitation coefficients. See Pack, Voshall, and Phelps, J. Appl. Phys. 71, 5363 (1992) for an analysis of He, Ar, Kr, and Xe using the two-term approximation over a very wide range of E/n. I do not have files listing the inelastic cross sections used in these calculations. Through the efforts of Professor K. Nanbu we have obtained permission to presnt a tabulation of the unpublished electron-Ar cross section set of Professor M. Hayashi in the file Hayashi.txt. As discussed in this file, Hayashi's cross section set has been shown to give fair agreement with swarm experiments by Nanbu and Kageyama, Vacuum 47, 1031 (1996). I have not attempted a direct comparison of Hayahsi's cross sections with those of Puech and Torchin (1986). More recent experimental references include: S. Tsurubuchi, T. Mirazaki, and K. Motohashi, J. Phys. B 29, 1785 (1996). Excitation of 4p->4s, 5p->4s, and 4s->3p transitions. J. E. Chilton, J. B. Boffard, R. S. Schappe, and C. C. Lin, Phys. Rev. A 57, 267 (1998). Excitation out of metastable levels. G. A. Piech, J. B. Boffard, M. F. Gehrke, L. W. Anderson, and C. C. Lin, Phys. Rev. A 81, 309 (1998). For electron excitation of Ar: Boffard et al, Phys. Rev A 59, 2749 (1999) and J. Phys. D 37, R143 (2004). Stephen Biagi at sfb@hep.ph.liv.ac.uk has derived a set of electron-Ar cross sections that are consistent with swarm data. Private communication March 2002 M. Hayashi has assembled references and derived an electron-Ar cross section set in a report entitled "Bibliography of electron and photon cross sections with atoms and molecules published in the 20th century - argon", National Institute for Fusion Research Research, Report NIFS-Data Series NIFS-DATA-72, Jan. 2003. In an appendix to this reoprt Hayashi gives a set of recommended electron-Ar cross sections. This set is the same as that tabulated in the file Hayashi.txt avialble in the present directory. The report cited is one of a NIFS series that reviews electron collisions with Xe, N2, SF6, CO2, etc. An updated set of electron-Ar cross sections that are consistent with swarm experiments have been published by A. Yanguas-Gil, J. Cotrino, and L.L. Alves, J. Phys. D 38, 1588 (2005). Tabulated cross sections are provided in a supplement. Latest Ar changes 03/29/07 ********************************************************************** KRYPTON I do not know of a cross section tabulation for Kr. The best set of cross sections for electrons in krypton that I know of is that of Date et al, J. Phys. D 22, 1478 (1989). They give cross sections for excitation of the metastable states, but it is difficult to know how much of the higher excited states cascade to the metastable states. One would have to model such things as the trapping of resonance radiation, collisional coupling by atoms and electrons, excited molecule formation, etc. A more recent momentum transfer cross section is given by Brennan and Ness, Australian J. Phys. 46, 249 (1993), but I would question the advisability of replacing the Date et al momentum transfer values with these results without a thorough analyses of the consequences. ********************************************************************** XENON - 1989 Xenon MOMENTUM-TRANSFER CROSS SECTION ENERGY Elastic Qm - Not effective Qm 1 0.0000 178.0000 2 0.0010 175.0000 3 0.0020 170.0000 4 0.0030 160.0000 5 0.0050 144.0000 6 0.0070 130.0000 7 0.0085 123.0000 8 0.0100 116.0000 9 0.0150 103.0000 10 0.0200 80.0000 11 0.0300 61.0000 12 0.0400 48.0000 13 0.0500 39.5000 14 0.0700 29.0000 15 0.1000 20.2000 16 0.1500 13.0000 17 0.2000 8.4000 18 0.2500 5.3500 19 0.3000 3.1500 20 0.3500 2.1000 21 0.4000 1.7500 22 0.5000 1.3800 23 0.7000 1.3600 24 1.0000 2.4800 25 1.2000 3.3500 26 1.3000 3.9000 27 1.5000 5.0000 28 1.7000 6.3000 29 1.9000 7.5000 30 2.1000 9.1000 31 2.2000 9.9000 32 2.5000 12.5000 33 2.8000 15.0000 34 3.0000 17.0000 35 3.3000 18.9000 36 3.6000 21.3000 37 4.0000 24.8000 38 4.5000 27.6000 39 5.0000 30.8000 40 6.0000 30.5000 41 7.0000 28.0000 42 8.0000 23.5000 43 10.0000 16.0000 44 12.0000 13.0000 45 15.0000 10.2000 46 17.0000 8.3000 47 20.0000 7.0000 48 25.0000 5.9000 49 30.0000 5.1000 50 40.0000 4.3000 51 50.0000 3.6000 52 60.0000 3.2000 53 75.0000 2.7500 54 100.0000 2.3500 55 150.0000 1.9000 56 200.0000 1.6000 57 300.0000 1.3000 58 500.0000 0.9700 59 700.0000 0.7800 60 1000.0000 0.5800 61 1500.0000 0.3700 62 2000.0000 0.2500 63 3000.0000 0.1500 64 5000.0000 0.0730 65 7000.0000 0.0450 66 10000.0000 0.0270 XE SINGLE LEVEL EXCITATION-SHAPER ENERGY LOSS = 8.320 , LOWER LIMIT = 7.998 , UPPER LIMIT = 1000.008 , QSCALE = 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 8.3200 0.0000 3 9.0000 0.0915 4 9.2000 0.1300 5 9.3200 0.1330 6 9.4100 0.1310 7 9.5200 0.1260 8 9.6400 0.1340 9 12.0000 0.3750 10 15.0000 0.7500 11 17.5000 0.9000 12 20.0000 0.8000 13 22.5000 0.6000 14 25.0000 0.4000 15 28.0000 0.3200 16 32.0000 0.3000 17 35.0000 0.3200 18 40.0000 0.3200 19 40.0000 0.3200 20 45.0000 0.3200 21 50.0000 0.3300 22 70.0000 0.3500 23 100.0000 0.3700 24 150.0000 0.3000 25 500.0000 0.2000 26 1000.0000 0.1000 27 3000.0000 0.0330 28 10000.0000 0.0100 ENERGY LOSS = 12.100 , LOWER LIMIT = 10.991 , UPPER LIMIT = 9998.996 , XE IONIZATION RAPP,ENGLANDER-GOLDEN,1965 EBR= 8.700000, QSCALE= 1.000000 ENERGY CROSS SECTION 1 0.0000 0.0000 2 12.1000 0.0000 3 12.5000 0.1100 4 13.0000 0.2560 5 15.0000 0.9100 6 17.0000 1.5300 7 20.0000 2.2800 8 24.0000 3.1000 9 30.0000 3.8500 10 35.0000 4.1000 11 40.0000 4.4800 12 50.0000 4.8400 13 60.0000 5.0300 14 75.0000 5.2000 15 100.0000 5.3800 16 150.0000 5.2000 17 200.0000 4.6000 18 300.0000 3.9000 19 500.0000 2.9000 20 700.0000 2.4000 21 1000.0000 1.8800 22 1500.0000 1.2500 23 2000.0000 0.9400 24 3000.0000 0.6300 25 5000.0000 0.3800 26 7000.0000 0.2700 27 10000.0000 0.1900 28 15000.0000 0.1250 OTHER CROSS SECTION SOURCES FOR XENON A detailed set of electron-xenon excitation cross sections is given by Puech and Mizzi, J. Phys. D 24, 1974 (1991). This set has been compared with swarm experiments and is available in analytic form. I have not had occasion to check or to use these cross sections. A word of caution: Note that although most coefficients calculated by Puech and Mizzi for Ne in the same paper agree with experiment, the calculated metastable excitation coefficients for Ne are not in agreement with the measurements and model of Tachibana and Phelps Phys. Rev. A 36, 999 (1987). How this problem carrys over to Xe is unknown. See Pack, Voshall, and Phelps, J. Appl. Phys. 71, 5363 (1992) for an analysis of He, Ar, Kr, and Xe using the two-term approximation over a very wide range of E/n. I do not have files listing the inelastic cross sections used in these calculations. M. Hayashi has assembled references and derived an electron-Xe cross section set in a report entitled "Bibliography of electron and photon cross sections with atoms and molecules published in the 20th century - xenon", National Institute for Fusion Research Research, Research Report NIFS-Data Series NIFS-DATA-79, Sept. 2003. In an appendix to this reoprt Hayashi gives a set of recommended electron-Xe cross sections. This set presumably replaces the cross sections in Hayashi, J. Phys. D 16, 581 and 591 (1983). The report cited is one of a series that reviews electron collisions with Ar, N2, SF6 and CO2. Latest change for Xe on 12/29/03 ****************************************************************** SODIUM CROSS SECTIONS - 1980 Sodium cross sections from 5/28/80 run for R. Shuker, A. V. Phelps, and A. Gallagher, J. Appl. Phys. 51, 1306 (1980) Na Qm 52 entries based on Moores et al Actually the listed values appear to be total cross sections for elastic scattering. I have attempted to obtain better elastic Qm values from the authors of recent work on the inelastic scattering of electrons by Na, but it appears that such results are not available. energy Assumed Qm eV 10^-16cm2 0 115 0.001 78 0.002 66 0.003 61 0.005 57 0.007 57 0.0085 58 0.01 60 0.015 79 0.02 95 0.03 140 0.04 210 0.05 290 0.07 520 0.1 780 0.15 760 0.2 570 0.25 440 0.3 350 0.35 290 0.4 250 0.5 193 0.7 128 1 85 1.2 67 1.3 60 1.5 52 1.7 47 1.9 45 2.1 44 2.2 43.5 2.5 42 2.8 41 3 4.05 3.3 39.7 3.6 38.9 4 38 4.5 36.9 5 36.3 6 34.9 7 33.8 8 32.7 10 31 12 29.9 15 28.3 17 27.7 20 26.7 25 25.3 30 24.3 50 21.8 75 19.8 100 18.6 Na 3p-3s energy gain = 2.1 eV from Moores, Norcross, and Sheorey, J. Phys. B 7, 371 (1974) energy Xsect 12 entries eV 10^-16cm2 0 0 0.01 0 0.011 26 0.02 19.5 0.04 13.3 0.07 9.6 0.1 7.7 0.2 5 0.4 4 0.7 3.5 1 2.75 2 2.05 4 1.6 7 1.35 10 1.1 20 0.82 40 0.61 100 0.35 Na 3p-4s energy loss = 1.09 eV from Moores et al. ibid. energy Xsect 18 entries eV 10^-16cm2 0 0 1.09 0 1.25 5.2 1.5 7.9 1.9 10.3 2.9 11.7 4 11.7 6 11.1 10 9.7 20 7.7 50 5.7 100 4.5 Na 3p-4d energy loss = 1.51 eV from Moores et al. ibid. energy Xsect 12 entries eV 10^-16cm2 0 0 1.51 0 1.6 11 1.7 17.5 1.9 24 2.5 32 3 36 4 36.5 6 34.5 10 29 25 20 100 11 Na 3s-3p energy loss = 2.1 eV from Enemark and Gallagher Phys. Rev. A 6, 192 (1972) energy Xsect 14 entries eV 10^-16cm2 0 0 2.1 0 2.5 20.2 3 27.1 4 33.4 5 36 7 38.3 10.5 37.9 15.6 35.8 23.8 25.7 38.7 25.7 63.7 19.2 99.2 14.4 100 14 Na ionization of 3p e-loss = 3.04 eV from Devyatov energy Xsect 12 entries eV 10^-16cm2 0 0 3.04 0 3.75 29 4.6 49 6.1 73 9 97 12.2 109 15 111 18 110 24 101 40 80 100 47 Na ionization of 3s e-loss = 5.14 eV energy Xsect 16 entries eV 10^-16cm2 0 0 5.14 0 7.07 3.97 7.47 4.61 8.2 5.42 9.11 5.99 10.39 6.4 12.02 6.69 13.55 6.76 15.19 6.72 17.95 6.58 21.05 6.39 26 6.09 30 5.82 50 4.7 100 3.17 For more recent theory and experiment see, for example: B. Marinkovic, P. Wang, A. Gallagher, Phys. Rev. A 46, 2553 (1992), W. K. Trail et al, Phys Rev. A 49, 3620 (1994) ********************************************************************* Mg cross sections The following data is in the format appropriate to the Boltzmann code "ELENDIF" available from http://www.csn.net so that electron- electron and electron-ion effects can be included. The electron energy-cross section pairs are in eV and 10^-16 cm^2. References are: I. I. Frabrikant, J. Phys. B 7, 91 (1974) D. Leep and A. Gallagher, Phys. Rev. A 13, 148 (1976) W. Williams and S. trajmar, J. Phys. B 11, 2021 (1978) See also: J. K. Van Blerkom, J. Phys. B 3, 932 (1970) F. Karstensen and M. Schneider, J. Phys. B 11, 167 (1978) ---------- species Mg # Vibr # Elct # Othr 0 2 1 mol wt g 24.32 1. Mg momentum transfer Effective Qm - Defined in introduction N pairs scale 66 1. 0.00E+00 8.00E+00 4.00E-01 3.70E+01 1.00E+01 3.20E+01 1.00E-03 8.07E+00 5.00E-01 4.40E+01 1.20E+01 3.00E+01 2.00E-03 8.14E+00 7.00E-01 5.80E+01 1.50E+01 2.00E+01 3.00E-03 8.21E+00 1.00E+00 8.00E+01 1.70E+01 1.30E+01 5.00E-03 8.35E+00 1.20E+00 7.80E+01 2.00E+01 1.00E+01 7.00E-03 8.50E+00 1.30E+00 7.60E+01 2.50E+01 6.00E+00 8.50E-03 8.60E+00 1.50E+00 7.50E+01 3.00E+01 5.00E+00 1.00E-02 8.70E+00 1.70E+00 7.40E+01 5.00E+01 4.20E+00 1.50E-02 9.13E+00 1.90E+00 7.30E+01 7.50E+01 3.50E+00 2.00E-02 9.40E+00 2.10E+00 7.00E+01 1.00E+02 3.00E+00 3.00E-02 1.01E+01 2.20E+00 6.80E+01 1.50E+02 2.50E+00 4.00E-02 1.08E+01 2.50E+00 6.50E+01 2.00E+02 2.10E+00 5.00E-02 1.16E+01 2.80E+00 6.10E+01 3.00E+02 1.60E+00 7.00E-02 1.30E+01 3.00E+00 5.80E+01 5.00E+02 1.40E+00 1.00E-01 1.50E+01 3.30E+00 5.50E+01 7.00E+02 1.20E+00 1.20E-01 1.90E+01 3.60E+00 5.30E+01 1.00E+03 1.00E+00 1.50E-01 2.30E+01 4.00E+00 5.00E+01 1.50E+03 8.00E-01 1.70E-01 2.00E+01 4.50E+00 4.50E+01 2.00E+03 7.00E-01 2.00E-01 2.30E+01 5.00E+00 4.00E+01 3.00E+03 5.50E-01 2.50E-01 2.60E+01 6.00E+00 3.80E+01 5.00E+03 4.30E-01 3.00E-01 3.00E+01 7.00E+00 3.70E+01 7.00E+03 3.50E-01 3.50E-01 3.30E+01 8.00E+00 3.50E+01 1.00E+04 3.00E-01 Mg(3P) /Trajmar-unresolved triplet,Hussain-3P1-2.3 ms 2.710000E+00 9. 21 1.000000 2.71E+00 0.00E+00 2.00E+01 8.00E-01 1.00E+03 0.00E+00 3.00E+00 1.00E+01 2.50E+01 3.50E-01 1.50E+03 0.00E+00 4.00E+00 7.00E+00 3.50E+01 6.00E-02 2.00E+03 0.00E+00 5.00E+00 5.00E+00 3.50E+01 1.00E-02 3.00E+03 0.00E+00 8.00E+00 4.00E+00 2.00E+02 0.00E+00 5.00E+03 0.00E+00 1.00E+01 3.50E+00 3.00E+02 0.00E+00 7.00E+03 0.00E+00 1.20E+01 2.00E+00 5.00E+02 0.00E+00 1.00E+04 0.00E+00 Mg(1P1) /Leep and Gallagher 4.330000E+00 3. 29 1.000000 4.33E+00 0.00E+00 8.90E+00 1.65E+01 1.48E+02 8.26E+00 4.60E+00 2.10E+00 1.00E+01 1.60E+01 2.49E+02 5.80E+00 4.75E+00 2.85E+00 1.20E+01 1.64E+01 3.99E+02 4.06E+00 4.90E+00 3.86E+00 1.50E+01 1.70E+01 6.00E+02 2.96E+00 5.08E+00 5.03E+00 1.85E+01 1.73E+01 8.00E+02 2.35E+00 5.40E+00 6.09E+00 2.40E+01 1.71E+01 1.10E+03 1.81E+01 5.75E+00 7.67E+00 3.00E+01 1.66E+01 1.40E+03 1.48E+00 6.10E+00 9.13E+00 3.79E+01 1.59E+01 3.00E+03 1.00E-02 6.60E+00 1.07E+01 6.27E+01 1.33E+01 1.00E+04 1.00E-03 7.50E+00 1.42E+01 9.81E+01 1.06E+01 Mg+ 7.640000 1.000000 23 1.000000 7.64E+00 0.00E+00 8.00E+01 2.60E+00 1.00E+03 5.00E-01 1.00E+01 7.50E+00 1.00E+02 1.80E+00 1.50E+03 4.00E-01 1.20E+01 8.00E+00 2.00E+02 1.30E+00 2.00E+03 3.00E-01 2.00E+01 6.30E+00 2.80E+02 1.10E+00 3.00E+03 2.00E-01 3.00E+01 5.20E+00 3.00E+02 1.00E+00 5.00E+03 1.00E-01 4.00E+01 4.00E+00 5.00E+02 8.50E-01 7.00E+03 7.00E-02 5.00E+01 3.50E+00 7.00E+02 7.00E-01 1.00E+04 5.00E-02 6.00E+01 3.20E+00 8.00E+02 6.00E-01 OZONE Stephen Biagi at sfb@hep.ph.liv.ac.uk has derived a set of electron-O3 cross sections. Private communication March 2002 HYDROGEN HALIDE MOLECULES M. Hayashi has assembled references and derived an electron-HF, HCl, HBr, and HI cross section set in a report entitled "Bibliography of electron and photon cross sections with atoms and molecules published in the 20th century - Hydrogen Halide Molecules", National Institute for Fusion Research Research, Report NIFS-Data Series NIFS-DATA-83, Mar. 2004. The report does not contain sets of recommended cross sections, but has some relevant comments at the end. The report cited is one of a series that gives bibliographies of papers on electron collisions with various gases.