function r=air1(e,h,i) % function r=air1(e,h,i) % % Calculates excitation coefficients of various excited states % produced by electron impact in air (N2:78.11%, O2:20.91%, Ar:0.98%). % Also calculates electron mobility and mean electron energy. % % r - excitation coefficient in 1/s, or mobility in m^2/V/s, or mean energy in eV; % e - array electric field in V/m (0150 km is intepreted as neutral density n in cm-3); % i - integer parameter specifying process to be calculated: % % 1 Mean energy 14 N2 (v=2) % 2 Two body attachment 15 N2 (v=3) % 3 LBH UV N2 (a^1 Pi_g) 16 N2 (v=4) % 4 IR ATM O2 (a^1 Delta_g) 17 N2 (v=5) % 5 1st positive N2 (B^3 Pi_g) 18 N2 (v=6) % 6 2nd positive N2 (C^3 Pi_u) 19 N2 (v=7) % 7 1st negative N2+ (B^2 Sigma_u^+) 20 N2 (v=8) % 8 1st negative O2+ (b^4 Sigma_g^-) 21 CO2(v,.291 eV) % 9 Meinel N2+ (A^2 Pi_u) 22 1st negative N2+ (B^2 Sigma_u^+) % 10 Ionization 23 1st negative N2+ (B^2 Sigma_u^+) (rec) % 11 Mobility 24 Meinel N2+ (A^2 Pi_u) (rec) % 12 N2 (v=1, .29 eV) 25 1st negative O2+ (b^4 Sigma_g^-) (rec) % 13 N2 (v=1, .291 eV) 26 N2(v) total % % - 7, 8 and 9 use ionization cross sections with branching % ratios of Rees [1989]; % - 22 uses Phelps'[1997] cross section for 1st negative of N2+; % - 23, 24 and 25 (recommended) use modified ionization cross sections with % threshold energies adjusted to fit the thresholds of the corresponding % processes; % 23 and 24 use brancing ratios of Van Zyl and Pendleton [1995]; % 25 uses branching ratios of Rees [1989]. % - 21 uses density of CO2=3.e-4n. % % The function is created by Georgios Veronis and Victor Pasko (STAR Lab, % Stanford University) on February 23, 1999 and is based on analytical % polynomial fits to results of calculations obtained with ELENDIF % Boltzmann code [Morgan and Penetrante, 1990] using set of cross % sections of Phelps [Phelps and Pitchford, 1985; Phelps, 1987; % Phelps, 1997]. % % The function was then modified on January 26, 2005 by Gregory Moss % (CSSL, Pennsylvania State University) to eliminate errors introduced % by poor performance of the analytical polynomial fits. The function % is now based on a linear interpolation and extrapolation of the % results obtained with the ELENDIF Boltzmann code [Morgan and Penetrante, % 1990] using set of cross sections of Phelps [Phelps and Pitchford, % 1985; Phelps, 1987; Phelps, 1997]. % % This MATLAB function is provided as is and we do not guarantee or % assume any responsibility for the accuracy, completeness, % or usefulness of any information provided herein and derived from % subsequent calculations. If you use this function in your research % please refer to the following paper in your publications: % % Moss, G. D., V. P. Pasko, N. Liu, and G. Veronis, Monte Carlo model % for analysis of thermal runaway electrons in streamer tips in transient % luminous events and streamer zones of lightning leaders, % Journal of Geophysical Research, 111, A02307, doi:10.1029/2005JA011350, 2006 % (A copy is available at http://www.ee.psu.edu/faculty/pasko/pasko2.html) % % The above listed paper by Moss et al. [2006] provides extensive comparisons % of the results derived from this function with available experimental % data, Monte Carlo modeling, and other similar models published in refereed literature. % % Please send your comments to Victor Pasko (vpasko@psu.edu) % % References: % - Morgan, W.L., and B.M. Penetrante, Computer Phys. Comm., 58, 127, 1990. % - Phelps, A.V., and Pitchford, Physical Review A, 31, 2932, 1985 % - Phelps, A.V., in Gaseous Dielectrics V. 5, Edited by L.C. Christophoru and % D.W. Bouldin, page 1, 1987. % - Phelps, A.V., http://jila.colorado.edu/collision_data, last revision 1997. % (Most recent version is available at % http://jilawww.colorado.edu/www/research/colldata.html) % - Rees, M.H., Physics and Chemistry of the upper atmosphere, Cambridge University % Press, New York, 1989. % - Van Zyl, B., and W. Pendleton Jr., J. Geophys. Res., 100, 23755, 1995. %Define some constants: n0=2.688e19; %neutral density at the ground at temperature 273 deg. K log_emax=7.8; %log of max electric field (above this value results may not be correct) field = 10.^(2:0.05:7.8); %For processes 1 (mean energy), 11 (mobility), 12 (N2(v=1)), 21 (CO2(v)) and 26 (sum N2(v)) %we have nonzero outputs even when input field is zero (due to assumed ambient %temperature 273 K). In our calculations we assume that 100 V/m at ground level %is the cutoff field below which effects of electron heating are not important. %We use values correspoding to 100 V/m as stationary values everywhere between %0 and 100 V/m. For mean energy, for example, this approach agrees within ~8% %with 3/2 kT estimate for 273K (3/2*273/11600 ~0.035 eV). For mobility %we have good agreements with mobility of thermal electrons shown in Figure 11 of %Davies, D.K, Measurements of swarm parameters in dry air, Westinghouse electric %corporation, Technical notes, Note 346, 1983. eng0=0.037717; %eV (1) mob0=1.4856; %m2/V/s (11) N2v10=1987.2; %1/s (12) CO2v0=861.76; %1/s (21) N2sv0=1987.2; %1/s (26) %Determine ratio of neutral density n to n0: if(0<=h && h<150), %means input is altitude in km %US Standard Atmosphere: %We replaced original 2.5e19cm-3 at 0 km altitude %by 2.688e19 cm-3 which is our reference %number density at temperature 273 K. %statm(1,:) altitude in km %statm(2,:) neutral density in cm-3 statm=[ 0e+0 2.688e+19 5e+0 1.53e+19 1e+1 8.59e+18 1.5e+1 4.05e+18 2e+1 1.85e+18 2.5e+1 8.33e+17 3e+1 3.83e+17 3.5e+1 1.76e+17 4e+1 8.31e+16 4.5e+1 4.088e+16 5e+1 2.13e+16 5.5e+1 1.181e+16 6e+1 6.33e+15 6.4e+1 3.93e+15 6.8e+1 2.39e+15 7.2e+1 1.39e+15 7.6e+1 7.72e+14 8e+1 4.03e+14 8.4e+1 1.99e+14 8.8e+1 9.48e+13 9.2e+1 4.37e+13 9.6e+1 2.07e+13 1e+2 1.04e+13 1.08e+2 3.18e+12 1.14e+2 1.43e+12 1.2e+2 6.61e+11 1.26e+2 3.4e+11 1.32e+2 1.91e+11 1.4e+2 9.7e+10 1.5e+2 4.92e+10 ]; n_n0=10^(interp1q(statm(:,1),log10(statm(:,2)),h))/n0; else%means input is neutral density n_n0=h/n0; end %if %Normalized electric field in V/m ef=e/n_n0; logef=log10(ef); %Table of Results based on Elendif Outputs table = [ 0.037717 0 0 2.7924e-11 0 0 0 0 0 0 1.4856 1987.2 0 0 0 0 0 0 0 0 861.76 0 0 0 0 1987.2 0.038392 0 0 2.9085e-11 0 0 0 0 0 0 1.4434 2065.7 0 0 0 0 0 0 0 0 895.81 0 0 0 0 2065.7 0.039158 0 0 3.0513e-11 0 0 0 0 0 0 1.3995 2161.7 0 0 0 0 0 0 0 0 937.37 0 0 0 0 2161.7 0.040021 0 0 3.2276e-11 0 0 0 0 0 0 1.3543 2279.1 0 0 0 0 0 0 0 0 988.24 0 0 0 0 2279.1 0.04099 0 0 3.4465e-11 0 0 0 0 0 0 1.308 2423.6 0 0 0 0 0 0 0 0 1050.8 0 0 0 0 2423.6 0.042072 0 0 3.7197e-11 0 0 0 0 0 0 1.2609 2601.8 0 0 0 0 0 0 0 0 1128 0 0 0 0 2601.8 0.043278 0 0 4.0636e-11 0 0 0 0 0 0 1.2134 2823.3 0 0 0 0 0 0 0 0 1223.8 0 0 0 0 2823.3 0.044616 0 0 4.4998e-11 0 0 0 0 0 0 1.1656 3099.9 0 0 0 0 0 0 0 0 1343.5 0 0 0 0 3099.9 0.046098 0 0 5.0589e-11 0 0 0 0 0 0 1.118 3447.9 0 0 0 0 0 0 0 0 1494 0 0 0 0 3447.9 0.047738 0 0 5.7836e-11 0 0 0 0 0 0 1.0707 3889.4 0 0 0 0 0 0 0 0 1684.9 0 0 0 0 3889.4 0.049551 0 0 6.7353e-11 0 0 0 0 0 0 1.0239 4454.5 0 0 0 0 0 0 0 0 1928.9 0 0 0 0 4454.5 0.051559 0 0 8.0025e-11 0 0 0 0 0 0 0.97778 5184.4 0 0 0 0 0 0 0 0 2244 0 0 0 0 5184.4 0.053783 0 0 9.7149e-11 0 0 0 0 0 0 0.93243 6136.5 0 0 0 0 0 0 0 0 2654.4 0 0 0 0 6136.5 0.056254 0 0 1.2066e-10 0 0 0 0 0 0 0.88787 7391.2 0 0 0 0 0 0 0 0 3194.6 0 0 0 0 7391.2 0.058998 0 0 1.5346e-10 0 0 0 0 0 0 0.84414 9062 0 0 0 0 0 0 0 0 3912.8 0 0 0 0 9062 0.062045 0 0 1.9995e-10 0 0 0 0 0 0 0.80124 11312 0 0 0 0 0 0 0 0 4878.2 0 0 0 0 11312 0.065421 0 0 2.6692e-10 0 0 0 0 0 0 0.75925 14382 0 0 0 0 0 0 0 0 6192.5 0 0 0 0 14382 0.069137 0 0 3.6485e-10 0 0 0 0 0 0 0.71832 18627 0 0 0 0 0 0 0 0 8007.1 0 0 0 0 18627 0.073199 0 0 5.1019e-10 0 0 0 0 0 0 0.67866 24597 0 0 0 0 0 0 0 0 10555 0 0 0 0 24597 0.077594 0 0 7.2884e-10 0 0 0 0 0 0 0.64053 33140 0 0 0 0 0 0 0 0 14199 0 0 0 0 33140 0.082295 0 0 1.0616e-09 0 0 0 0 0 0 0.60424 45556 0 0 0 0 0 0 0 0 19497 0 0 0 0 45556 0.087261 0 0 1.5731e-09 0 0 0 0 0 0 0.57006 63803 0 0 0 0 0 0 0 0 27293 0 0 0 0 63803 0.092437 0 0 2.3647e-09 0 0 0 0 0 0 0.53819 90687 0 0 0 0 0 0 0 0 38805 0 0 0 0 90687 0.097754 0 0 3.5964e-09 0 0 0 0 0 0 0.5088 1.2999e+05 0 0 0 0 0 0 0 0 55684 0 0 0 0 1.2999e+05 0.10313 0 0 5.5216e-09 0 0 0 0 0 0 0.48195 1.8646e+05 0 0 0 0 0 0 0 0 80004 0 0 0 0 1.8646e+05 0.10847 0 0 8.5495e-09 0 0 0 0 0 0 0.45768 2.655e+05 0 0 0 0 0 0 0 0 1.1414e+05 0 0 0 0 2.655e+05 0.11367 0 0 1.3365e-08 0 0 0 0 0 0 0.43598 3.7287e+05 0 0 0 0 0 0 0 0 1.6061e+05 0 0 0 0 3.7287e+05 0.11864 0 0 2.1171e-08 0 0 0 0 0 0 0.41678 5.1436e+05 0 0 0 0 0 0 0 0 2.2188e+05 0 0 0 0 5.1436e+05 0.12331 0 0 3.4229e-08 0 0 0 0 0 0 0.39993 6.9608e+05 0 0 0 0 0 0 0 0 3.0046e+05 0 0 0 0 6.9608e+05 0.12762 0 0 5.7079e-08 0 0 0 0 0 0 0.3853 9.2505e+05 0 0 0 0 0 0 0 0 3.9908e+05 0 0 0 0 9.2505e+05 0.13159 0 0 9.962e-08 0 0 0 0 0 0 0.37262 1.2106e+06 0 0 0 0 0 0 0 0 5.2128e+05 0 0 0 0 1.2106e+06 0.13524 0 0 1.8526e-07 0 0 0 0 0 0 0.36164 1.5654e+06 0 0 0 0 0 0 0 0 6.717e+05 0 0 0 0 1.5654e+06 0.13864 0 0 3.7431e-07 0 0 0 0 0 0 0.35207 2.0065e+06 0 0 0 0 0 0 0 0 8.5659e+05 0 0 0 0 2.0065e+06 0.14187 0 0 8.3583e-07 0 0 0 0 0 0 0.34365 2.5551e+06 0 0 0 0 0 0 0 0 1.0837e+06 0 0 0 0 2.5551e+06 0.14503 0 0 2.0911e-06 0 0 0 0 0 0 0.33608 3.237e+06 0 0 0 0 0 0 0 0 1.3624e+06 0 0 0 0 3.237e+06 0.14823 0 0 5.9476e-06 0 0 0 0 0 0 0.32911 4.0821e+06 0 0 0 0 0 0 0 0 1.7033e+06 0 0 0 0 4.0821e+06 0.15156 0 0 1.9591e-05 0 0 0 0 0 0 0.32251 5.1233e+06 0 0 0 0 0 0 0 0 2.1176e+06 0 0 0 0 5.1233e+06 0.15513 0 0 7.5717e-05 0 0 0 0 0 0 0.31608 6.3958e+06 0 0 0 0 0 0 0 0 2.6167e+06 0 0 0 0 6.3958e+06 0.15902 0 0 0.00033947 0 0 0 0 0 0 0.30963 7.9391e+06 0 0 0 0 0 0 0 0 3.2128e+06 0 0 0 0 7.9391e+06 0.16332 0 0 0.0016881 0 0 0 0 0 0 0.30306 9.7934e+06 0 0 0 0 0 0 0 0 3.9164e+06 0 0 0 0 9.7934e+06 0.16809 0 0 0.0087198 0 0 0 0 0 0 0.29627 1.2e+07 0 0 0 0 0 0 0 0 4.7373e+06 0 0 0 0 1.2e+07 0.17475 3.9362e-26 0 0.26417 0 0 0 0 0 0 0.2897 1.5145e+07 4.6381e-07 2.42e-10 1.4771e-12 4.2695e-15 2.116e-16 5.6086e-20 2.088e-21 7.5657e-22 5.8837e+06 0 0 0 0 1.5145e+07 0.18066 3.9362e-26 0 1.4312 0 0 0 0 0 0 0.28219 1.8204e+07 8.7316e-06 4.3456e-09 2.5779e-11 7.1713e-14 3.678e-15 8.7766e-19 1.1267e-20 7.4745e-22 6.9698e+06 0 0 0 0 1.8204e+07 0.18714 3.9362e-26 0 7.2424 0 0 0 0 0 0 0.27448 2.173e+07 0.00017621 7.9251e-08 4.857e-10 1.1953e-12 6.3213e-14 1.4415e-17 1.6576e-19 7.651e-22 8.1831e+06 0 0 0 0 2.173e+07 0.19424 3.9362e-26 0 33.762 0 0 0 0 0 0 0.26662 2.5782e+07 0.0034481 1.4715e-06 9.1896e-09 2.0148e-11 1.0009e-12 2.4081e-16 2.7023e-18 1.5049e-21 9.5256e+06 0 0 0 0 2.5782e+07 0.20202 3.9362e-26 0 144.04 0 0 0 0 0 0 0.25868 3.0427e+07 0.059878 2.7597e-05 1.5999e-07 3.4837e-10 1.4217e-11 4.0499e-15 4.4262e-17 1.5742e-20 1.0999e+07 0 0 0 0 3.0427e+07 0.21058 3.9362e-26 0 561.04 0 0 0 0 0 0 0.25068 3.576e+07 0.87677 0.00049921 2.4169e-06 5.9305e-09 1.8504e-10 6.5848e-14 7.1762e-16 2.3834e-19 1.2603e+07 0 0 0 0 3.576e+07 0.22006 3.149e-26 0 1995.2 0 0 0 0 0 0 0.24267 4.1908e+07 10.587 0.0081818 3.0969e-05 9.2201e-08 2.329e-09 9.7837e-13 1.1029e-14 3.2244e-18 1.4339e+07 0 0 0 0 4.1908e+07 0.23066 3.149e-26 0 6487.3 0 0 0 0 0 0 0.23465 4.9064e+07 104.82 0.11591 0.0003395 1.2325e-06 2.9376e-08 1.2688e-11 1.5231e-13 3.7469e-17 1.6204e+07 0 0 0 0 4.9064e+07 0.24266 3.149e-26 0 19329 0 0 0 0 0 0 0.22661 5.755e+07 853.37 1.3859 0.0033129 1.3741e-05 3.6031e-07 1.3994e-10 1.8188e-12 3.7613e-16 1.8195e+07 0 0 0 0 5.7551e+07 0.25647 3.149e-26 0 52912 0 0 0 0 0 0 0.21852 6.7945e+07 5757.7 13.876 0.030681 0.00012665 4.017e-06 1.3008e-09 1.8429e-11 3.334e-15 2.0304e+07 0 0 0 0 6.7951e+07 0.27261 3.149e-26 0 1.3344e+05 0 0 0 0 0 0 0.21033 8.1316e+07 32518 116.4 0.28362 0.00096943 3.8611e-05 1.0237e-08 1.5768e-10 2.6931e-14 2.2518e+07 0 0 0 0 8.1349e+07 0.29176 3.9362e-26 0 3.1089e+05 0 0 0 0 0 0 0.20197 9.96e+07 1.5542e+05 821.43 2.5897 0.0062526 0.00031202 6.925e-08 1.143e-09 2.0384e-13 2.4818e+07 0 0 0 0 9.9756e+07 0.31476 3.149e-26 0 6.7086e+05 0 0 0 0 0 0 0.19335 1.2611e+08 6.3565e+05 4903.4 22.053 0.034891 0.002107 4.1322e-07 7.085e-09 1.4575e-12 2.7179e+07 0 0 0 0 1.2675e+08 0.34242 3.9362e-26 0 1.344e+06 0 0 0 0 0 0 0.18443 1.6601e+08 2.2482e+06 24910 165.96 0.17604 0.011943 2.2499e-06 3.8135e-08 9.694e-12 2.9561e+07 0 0 0 0 1.6829e+08 0.37542 3.9362e-26 0 2.5064e+06 0 0 0 0 0 0 0.17517 2.2643e+08 6.9469e+06 1.0842e+05 1071.7 0.85562 0.057503 1.1575e-05 1.8259e-07 5.8502e-11 3.1917e+07 0 0 0 0 2.3349e+08 0.41405 3.149e-26 0 4.3625e+06 0 0 0 0 0 0 0.16561 3.1577e+08 1.8939e+07 4.0739e+05 5879 4.2521 0.24045 5.7611e-05 8.0594e-07 3.142e-10 3.4186e+07 0 0 0 0 3.3512e+08 0.45798 3.149e-26 0 7.1106e+06 0 0 0 0 0 0 0.15586 4.4198e+08 4.5996e+07 1.3327e+06 27423 21.857 0.91197 0.0002788 3.4284e-06 1.4908e-09 3.6308e+07 0 0 0 0 4.8933e+08 0.50625 3.9362e-26 0 1.0899e+07 0 0 0 0 0 0 0.1461 6.1024e+08 1.0054e+08 3.8339e+06 1.0956e+05 111.52 3.4082 0.0013016 1.4599e-05 6.2887e-09 3.8226e+07 0 0 0 0 7.1472e+08 0.55731 5.5107e-26 0 1.5783e+07 0 0 0 0 0 0 0.13655 8.2063e+08 1.9978e+08 9.8006e+06 3.7878e+05 536.18 14.015 0.0058275 6.3112e-05 2.4158e-08 3.9899e+07 0 0 0 0 1.0306e+09 0.60939 2.5192e-25 0 2.1714e+07 0 0 0 0 0 0 0.12743 1.0675e+09 3.6475e+08 2.2522e+07 1.1475e+06 2352.4 66.444 0.025435 0.00027711 8.9694e-08 4.1311e+07 0 0 0 0 1.4559e+09 0.64621 2.112e-18 7.4331e-18 2.7352e+07 4.9888e-17 0 0 0 0 0 0.1227 1.2863e+09 5.7826e+08 4.3729e+07 2.832e+06 9145.3 381.53 0.17988 0.0021371 6.9764e-07 4.1691e+07 0 0 0 0 1.9111e+09 0.69714 8.5494e-19 2.7624e-18 3.4751e+07 1.854e-17 0 0 0 0 0 0.11424 1.5694e+09 9.2557e+08 8.4737e+07 6.9156e+06 32418 1823.6 0.85464 0.010474 3.8923e-06 4.2794e+07 0 0 0 0 2.5867e+09 0.74471 2.8519e-17 7.9546e-19 4.2626e+07 5.3471e-18 0 0 0 0 0 0.10664 1.8526e+09 1.4009e+09 1.526e+08 1.5388e+07 1.0446e+05 8056.2 4.8336 0.063106 3.1057e-05 4.3655e+07 0 0 0 0 3.4217e+09 0.78826 6.0149e-15 8.832e-20 5.0745e+07 7.6323e-17 0 0 0 0 0 0.099903 2.1238e+09 2.0224e+09 2.5802e+08 3.1577e+07 3.0852e+05 32176 30.566 0.45576 0.00034973 4.4313e+07 0 0 0 0 4.4361e+09 0.82754 1.2833e-12 7.7257e-17 5.8906e+07 3.6425e-14 0 0 0 0 0 0.093974 2.3734e+09 2.8057e+09 4.1352e+08 6.0429e+07 8.4241e+05 1.1555e+05 192.88 3.4675 0.0047455 4.4808e+07 0 0 0 0 5.654e+09 0.86259 2.1317e-10 4.4372e-14 6.6951e+07 1.2254e-11 0 0 0 0 0 0.088779 2.5958e+09 3.765e+09 6.3333e+08 1.0891e+08 2.1432e+06 3.7384e+05 1126.1 25.072 0.064102 4.5176e+07 0 0 0 0 7.1055e+09 0.89365 2.406e-08 1.4925e-11 7.4767e+07 2.5693e-09 0 0 0 0 0 0.084238 2.7878e+09 4.9137e+09 9.3351e+08 1.8645e+08 5.1126e+06 1.095e+06 5879.8 163.97 0.77111 4.5446e+07 0 0 0 0 8.8276e+09 0.92107 1.7757e-06 2.8848e-09 8.2286e+07 3.2687e-07 0 0 0 0 0 0.080268 2.949e+09 6.2648e+09 1.3321e+09 3.0538e+08 1.149e+07 2.9231e+06 27152 951.38 7.8899 4.5642e+07 0 0 0 0 1.0866e+10 0.94524 8.6101e-05 3.2751e-07 8.9477e+07 2.5617e-05 0 0 0 0 0 0.076795 3.0806e+09 7.8313e+09 1.849e+09 4.8136e+08 2.4409e+07 7.1623e+06 1.1078e+05 4867.7 67.637 4.5782e+07 0 0 0 0 1.3274e+10 0.96657 0.0028031 2.266e-05 9.6346e+07 0.0012756 0 0 0 0 0 0.07375 3.185e+09 9.6267e+09 2.506e+09 7.337e+08 4.9161e+07 1.6229e+07 4.0106e+05 21977 485.22 4.5882e+07 0 0 0 0 1.6117e+10 0.98548 0.063048 0.00099621 1.0293e+08 0.041874 0 0 0 0 0 0.071071 3.2648e+09 1.1666e+10 3.3262e+09 1.0854e+09 9.4093e+07 3.4259e+07 1.297e+06 87920 2929.5 4.5951e+07 0 0 0 0 1.9472e+10 1.0024 1.0104 0.029031 1.0929e+08 0.94139 0 0 0 0 0 0.068704 3.3229e+09 1.3964e+10 4.3335e+09 1.563e+09 1.7156e+08 6.7843e+07 3.7767e+06 3.1358e+05 15025 4.5997e+07 0 0 0 0 2.3427e+10 1.0176 11.908 0.5844 1.1551e+08 15.055 0 0 0 0 0 0.066599 3.3622e+09 1.6543e+10 5.5521e+09 2.1956e+09 2.9875e+08 1.2684e+08 9.9845e+06 1.0043e+06 66200 4.6026e+07 0 0 0 0 2.8089e+10 1.0316 106.38 8.4471 1.2171e+08 177.54 0 0 0 0 0 0.06471 3.3853e+09 1.9425e+10 7.0067e+09 3.0143e+09 4.9822e+08 2.2522e+08 2.4166e+07 2.9099e+06 2.5361e+05 4.6041e+07 0 0 0 0 3.3582e+10 1.0448 741.71 90.883 1.2804e+08 1596.9 0 0 0 0 0 0.062997 3.3944e+09 2.2642e+10 8.7218e+09 4.0505e+09 7.9791e+08 3.8167e+08 5.3969e+07 7.685e+06 8.5483e+05 4.6046e+07 0 0 0 0 4.005e+10 1.0575 4144.4 751.92 1.3472e+08 11295 0 0 0 0 0 0.061421 3.3916e+09 2.623e+10 1.0724e+10 5.3353e+09 1.2308e+09 6.2011e+08 1.1204e+08 1.8633e+07 2.5641e+06 4.6042e+07 0 0 0 0 4.7665e+10 1.0703 19029 4928.6 1.4211e+08 64613 0 0 0 0 0 0.059947 3.3787e+09 3.0235e+10 1.304e+10 6.8979e+09 1.8337e+09 9.6966e+08 2.1765e+08 4.176e+07 6.9162e+06 4.6031e+07 0 0 0 0 5.6621e+10 1.0841 73373 26262 1.5095e+08 3.0618e+05 0 0 0 0 0 0.058545 3.3576e+09 3.4706e+10 1.5701e+10 8.765e+09 2.6461e+09 1.4641e+09 3.9805e+08 8.7045e+07 1.6933e+07 4.6013e+07 0 0 0 0 6.7142e+10 1.1002 2.4253e+05 1.1651e+05 1.6279e+08 1.2288e+06 0 0 0 0 0 0.057186 3.3307e+09 3.9696e+10 1.8739e+10 1.0959e+10 3.7073e+09 2.1407e+09 6.889e+08 1.6967e+08 3.7941e+07 4.5989e+07 0 0 0 0 7.9469e+10 1.1213 6.9923e+05 4.3897e+05 1.8071e+08 4.2533e+06 0 0 0 0 0 0.055845 3.3016e+09 4.5247e+10 2.218e+10 1.3494e+10 5.0528e+09 3.037e+09 1.1331e+09 3.1073e+08 7.8345e+07 4.5959e+07 0 0 0 0 9.3835e+10 1.1754 2.4639e+06 2.8281e+06 2.2153e+08 1.8689e+07 5.0628e+05 18.774 1247.6 66.563 8488.2 0.055597 3.0747e+09 6.4496e+10 2.4964e+10 1.7004e+10 6.9101e+09 4.6462e+09 1.8651e+09 6.7104e+08 2.0076e+08 4.5089e+07 0.087267 0.73778 37.25 0.12588 1.2383e+11 1.2256 5.0811e+06 7.8481e+06 2.7624e+08 4.6263e+07 1.9825e+06 149.47 5401.3 529.93 37367 0.054444 3.0712e+09 7.2244e+10 2.9357e+10 2.0268e+10 8.9183e+09 6.142e+09 2.738e+09 1.0264e+09 3.3626e+08 4.5073e+07 1.2491 9.76 346.59 1.6064 1.441e+11 1.3031 9.7235e+06 1.9948e+07 3.6377e+08 1.0569e+08 6.8552e+06 979.81 20530 3473.9 1.4577e+05 0.053226 3.1012e+09 7.9989e+10 3.4189e+10 2.3793e+10 1.1232e+10 7.9147e+09 3.8752e+09 1.51e+09 5.3561e+08 4.507e+07 13.809 99.724 2596.9 16.02 1.6614e+11 1.4195 1.7303e+07 4.6604e+07 4.9744e+08 2.2336e+08 2.1054e+07 5370 69116 19039 5.0959e+05 0.051946 3.1827e+09 8.7332e+10 3.932e+10 2.7431e+10 1.3776e+10 9.9182e+09 5.2767e+09 2.1313e+09 8.0987e+08 4.5086e+07 120.47 804.5 15951 127.4 1.8918e+11 1.5863 2.8683e+07 1.0038e+08 6.8962e+08 4.375e+08 5.7734e+07 24939 2.0769e+05 88420 1.6113e+06 0.050619 3.3348e+09 9.3776e+10 4.4497e+10 3.0967e+10 1.6418e+10 1.2056e+10 6.8987e+09 2.8791e+09 1.1607e+09 4.5133e+07 845.62 5225.8 81600 822.91 2.1199e+11 1.8117 4.4369e+07 1.9989e+08 9.4759e+08 7.9563e+08 1.4206e+08 99338 5.6092e+05 3.522e+05 4.6426e+06 0.049263 3.5723e+09 9.8795e+10 4.9376e+10 3.4141e+10 1.8975e+10 1.4182e+10 8.6464e+09 3.716e+09 1.5757e+09 4.5217e+07 4859.2 27824 3.5266e+05 4388.3 2.3298e+11 2.1078 6.4184e+07 3.6911e+08 1.2691e+09 1.3461e+09 3.1522e+08 3.4311e+05 1.3703e+06 1.2165e+06 1.2254e+07 0.047906 3.9004e+09 1.0197e+11 5.3577e+10 3.67e+10 2.1246e+10 1.6131e+10 1.0386e+10 4.581e+09 2.0273e+09 4.5352e+07 0.1977e5 0.1053e+06 0.1139e+07 .1681e+05 2.5052e+11 2.4554 8.7128e+07 6.346e+08 1.6408e+09 2.1256e+09 6.3449e+08 1.0389e+06 3.0488e+06 3.6835e+06 2.977e+07 0.046577 4.3108e+09 1.0312e+11 5.6787e+10 3.8463e+10 2.306e+10 1.775e+10 1.1972e+10 5.4017e+09 2.4778e+09 4.5504e+07 0.8047e+05 0.3985e+06 0.3679e+07 0.6439e+05 2.6334e+11 2.8189 1.1203e+08 1.0283e+09 2.0471e+09 3.1678e+09 1.1759e+09 2.8148e+06 6.2779e+06 9.9799e+06 6.7442e+07 0.045268 4.7922e+09 1.0224e+11 5.8793e+10 3.9339e+10 2.4301e+10 1.8927e+10 1.328e+10 6.1102e+09 2.8886e+09 4.5673e+07 3.2751e+05 1.508e+06 1.1883e+07 2.4666e+05 2.7067e+11 3.2301 1.3701e+08 1.5761e+09 2.463e+09 4.4705e+09 2.0171e+09 6.8823e+06 1.2029e+07 2.4401e+07 1.4276e+08 0.044007 5.3192e+09 9.9663e+10 5.9581e+10 3.9379e+10 2.4949e+10 1.9628e+10 1.4236e+10 6.6611e+09 3.2292e+09 4.5856e+07 1.0029e+06 4.3133e+06 3.0223e+07 7.1934e+05 2.7265e+11 3.6614 1.6087e+08 2.3114e+09 2.8736e+09 6.0403e+09 3.2475e+09 1.5464e+07 2.1765e+07 5.4828e+07 2.8569e+08 0.042776 5.8785e+09 9.57e+10 5.9214e+10 3.8672e+10 2.5029e+10 1.986e+10 1.481e+10 7.0301e+09 3.481e+09 4.6029e+07 2.7508e+06 1.1079e+07 7.0161e+07 1.888e+06 2.6967e+11 4.1068 1.8252e+08 3.2678e+09 3.2658e+09 7.87e+09 4.9531e+09 3.234e+07 3.7549e+07 1.1466e+08 5.4432e+08 0.041566 6.4588e+09 9.0727e+10 5.7847e+10 3.7357e+10 2.4617e+10 1.9674e+10 1.5017e+10 7.2163e+09 3.6377e+09 4.6179e+07 6.8648e+06 2.5959e+07 1.5072e+08 4.5275e+06 2.6255e+11 4.5622 2.0112e+08 4.4764e+09 3.6298e+09 9.9396e+09 7.206e+09 6.3538e+07 6.2202e+07 2.2527e+08 9.9229e+08 0.040375 7.0525e+09 8.5121e+10 5.5694e+10 3.5598e+10 2.3813e+10 1.9147e+10 1.4902e+10 7.2366e+09 3.7037e+09 4.6293e+07 1.5777e+07 5.6168e+07 3.0274e+08 1.0035e+07 2.5227e+11 5.0267 2.1611e+08 5.9642e+09 3.9591e+09 1.2218e+10 1.0054e+10 1.1816e+08 9.9474e+07 4.1895e+08 1.7374e+09 0.0392 7.6572e+09 7.9214e+10 5.2983e+10 3.3551e+10 2.2728e+10 1.8367e+10 1.4529e+10 7.1188e+09 3.6907e+09 4.6359e+07 3.3718e+07 1.1333e+08 5.733e+08 2.0751e+07 2.3984e+11 5.5024 2.2723e+08 7.7536e+09 4.2505e+09 1.4669e+10 1.3518e+10 2.0939e+08 1.543e+08 7.4239e+08 2.9322e+09 0.038044 8.276e+09 7.3257e+10 4.9918e+10 3.135e+10 2.1461e+10 1.7416e+10 1.3963e+10 6.894e+09 3.6134e+09 4.637e+07 6.7594e+07 2.1511e+08 1.031e+09 4.0363e+07 2.2615e+11 5.9939 2.3448e+08 9.8613e+09 4.5037e+09 1.7253e+10 1.7584e+10 3.5558e+08 2.3309e+08 1.2607e+09 4.7865e+09 0.036908 8.9161e+09 6.7425e+10 4.6663e+10 2.9095e+10 2.0091e+10 1.6362e+10 1.3265e+10 6.5915e+09 3.4869e+09 4.632e+07 1.2806e+08 3.8696e+08 1.772e+09 7.4387e+07 2.1189e+11 6.508 2.3806e+08 1.2298e+10 4.7198e+09 1.9929e+10 2.2212e+10 5.8154e+08 3.4411e+08 2.0618e+09 7.5808e+09 0.035793 9.5865e+09 6.182e+10 4.3339e+10 2.6854e+10 1.8676e+10 1.5255e+10 1.2481e+10 6.2363e+09 3.3249e+09 4.6204e+07 2.308e+08 6.6412e+08 2.9265e+09 1.3072e+08 1.9757e+11 7.053 2.3827e+08 1.5062e+10 4.9006e+09 2.2654e+10 2.7322e+10 9.1984e+08 4.9791e+08 3.2612e+09 1.1682e+10 0.034702 1.0295e+10 5.6499e+10 4.0033e+10 2.4672e+10 1.7261e+10 1.4132e+10 1.1651e+10 5.8485e+09 3.1389e+09 4.602e+07 3.9793e+08 1.0935e+09 4.6655e+09 2.2021e+08 1.8353e+11 7.638 2.3545e+08 1.8147e+10 5.0481e+09 2.5382e+10 3.2812e+10 1.4122e+09 7.0783e+08 5.0067e+09 1.7557e+10 0.033637 1.1047e+10 5.1488e+10 3.6803e+10 2.2577e+10 1.5872e+10 1.3022e+10 1.0803e+10 5.4437e+09 2.9381e+09 4.5766e+07 6.5944e+08 1.7356e+09 7.2082e+09 3.5735e+08 1.6999e+11 8.2731 2.3e+08 2.1528e+10 5.1641e+09 2.8066e+10 3.8545e+10 2.1102e+09 9.9054e+08 7.4816e+09 2.5787e+10 0.0326 1.1839e+10 4.6794e+10 3.3688e+10 2.0586e+10 1.453e+10 1.194e+10 9.9567e+09 5.0338e+09 2.7299e+09 4.5437e+07 1.0545e+09 2.6659e+09 1.0826e+10 5.6074e+08 1.571e+11 8.9694 2.2232e+08 2.517e+10 5.25e+09 3.0656e+10 4.4367e+10 3.0776e+09 1.3669e+09 1.0912e+10 3.7091e+10 0.031592 1.2665e+10 4.2413e+10 3.0712e+10 1.8705e+10 1.3246e+10 1.09e+10 9.1281e+09 4.6277e+09 2.5198e+09 4.5032e+07 1.6327e+09 3.977e+09 1.5854e+10 8.54e+08 1.4492e+11 9.7387 2.1281e+08 2.9024e+10 5.3071e+09 3.3103e+10 5.0108e+10 4.3883e+09 1.8619e+09 1.5559e+10 5.2307e+10 0.030615 1.3507e+10 3.8338e+10 2.7893e+10 1.6941e+10 1.2028e+10 9.9095e+09 8.3277e+09 4.2318e+09 2.3122e+09 4.4547e+07 2.454e+09 5.7767e+09 2.268e+10 1.2655e+09 1.3349e+11 10.595 2.0185e+08 3.3033e+10 5.3366e+09 3.536e+10 5.5598e+10 6.1301e+09 2.5066e+09 2.1734e+10 7.2439e+10 0.029666 1.4343e+10 3.4553e+10 2.5237e+10 1.5291e+10 1.0881e+10 8.9726e+09 7.5621e+09 3.8504e+09 2.11e+09 4.3982e+07 3.5894e+09 8.192e+09 3.1764e+10 1.8299e+09 1.228e+11 11.555 1.8982e+08 3.7128e+10 5.3392e+09 3.7379e+10 6.0668e+10 8.4021e+09 3.3374e+09 2.9789e+10 9.8632e+10 0.028746 1.5145e+10 3.1047e+10 2.2748e+10 1.3755e+10 9.8057e+09 8.0923e+09 6.8365e+09 3.4868e+09 1.9155e+09 4.3334e+07 5.1199e+09 1.1366e+10 4.3625e+10 2.5876e+09 1.1283e+11 12.636 1.7704e+08 4.1238e+10 5.3159e+09 3.9119e+10 6.5166e+10 1.1316e+10 4.3983e+09 4.0122e+10 1.322e+11 0.027853 1.5882e+10 2.7805e+10 2.0424e+10 1.2329e+10 8.8022e+09 7.2688e+09 6.153e+09 3.1427e+09 1.7302e+09 4.2601e+07 7.1355e+09 1.546e+10 5.8852e+10 3.5856e+09 1.0354e+11 13.862 1.6382e+08 4.5284e+10 5.2674e+09 4.0541e+10 6.8961e+10 1.4999e+10 5.7405e+09 5.3177e+10 1.7462e+11 0.026985 1.6522e+10 2.4811e+10 1.8263e+10 1.1008e+10 7.8691e+09 6.502e+09 5.513e+09 2.8193e+09 1.5551e+09 4.1784e+07 9.7336e+09 2.0653e+10 7.81e+10 4.8784e+09 9.4863e+10 15.262 1.5042e+08 4.9187e+10 5.1941e+09 4.1609e+10 7.1942e+10 1.9586e+10 7.4236e+09 6.944e+10 2.2754e+11 0.026144 1.7036e+10 2.2053e+10 1.6261e+10 9.7894e+09 7.005e+09 5.7907e+09 4.9167e+09 2.5171e+09 1.3907e+09 4.0879e+07 1.3016e+10 2.7139e+10 1.0209e+11 6.5274e+09 8.676e+10 16.87 1.3707e+08 5.2872e+10 5.0966e+09 4.2292e+10 7.4032e+10 2.5225e+10 9.5145e+09 8.9434e+10 2.9275e+11 0.025332 1.7397e+10 1.9518e+10 1.4412e+10 8.6668e+09 6.2071e+09 5.1331e+09 4.3636e+09 2.236e+09 1.2371e+09 3.9885e+07 1.7087e+10 3.5129e+10 1.3158e+11 8.6008e+09 7.9171e+10 18.727 1.2396e+08 5.6261e+10 4.9751e+09 4.2566e+10 7.5176e+10 3.2065e+10 1.2085e+10 1.1368e+11 3.7206e+11 0.024552 1.7584e+10 1.7195e+10 1.2712e+10 7.6371e+09 5.4736e+09 4.5281e+09 3.8532e+09 1.9761e+09 1.0947e+09 3.8794e+07 2.2042e+10 4.4832e+10 1.6736e+11 1.117e+10 7.2053e+10 20.88 1.1128e+08 5.9282e+10 4.8303e+09 4.2415e+10 7.5357e+10 4.0233e+10 1.5202e+10 1.4264e+11 4.671e+11 0.023808 1.7582e+10 1.5075e+10 1.1156e+10 6.6965e+09 4.8025e+09 3.9741e+09 3.3847e+09 1.7371e+09 9.6344e+08 3.7602e+07 2.7957e+10 5.6427e+10 2.1009e+11 1.4302e+10 6.537e+10 23.376 9.9192e+07 6.1866e+10 4.663e+09 4.1839e+10 7.4594e+10 4.9812e+10 1.8917e+10 1.7661e+11 5.7895e+11 0.023105 1.7385e+10 1.3154e+10 9.7422e+09 5.8437e+09 4.1932e+09 3.4708e+09 2.9583e+09 1.5192e+09 8.4348e+08 3.6301e+07 3.4867e+10 7.0031e+10 2.602e+11 1.8048e+10 5.9109e+10 26.26 8.7834e+07 6.3966e+10 4.4747e+09 4.0858e+10 7.2951e+10 6.0822e+10 2.3259e+10 2.1564e+11 7.0799e+11 0.022439 1.6998e+10 1.1426e+10 8.4686e+09 5.0764e+09 3.6444e+09 3.0172e+09 2.5734e+09 1.3223e+09 7.3484e+08 3.489e+07 4.276e+10 8.567e+10 3.178e+11 2.2432e+10 5.3261e+10 29.567 7.7341e+07 6.5548e+10 4.268e+09 3.9511e+10 7.0533e+10 7.319e+10 2.8217e+10 2.5949e+11 8.5348e+11 0.021801 1.6439e+10 9.8884e+09 7.3338e+09 4.3936e+09 3.1554e+09 2.6129e+09 2.2299e+09 1.1464e+09 6.3762e+08 3.3371e+07 5.1559e+10 1.0324e+11 3.8251e+11 2.7442e+10 4.7837e+10 33.32 6.7794e+07 6.6605e+10 4.0463e+09 3.7856e+10 6.7478e+10 8.6769e+10 3.3748e+10 3.0764e+11 1.0138e+12 0.021169 1.5733e+10 8.535e+09 6.3333e+09 3.7922e+09 2.7245e+09 2.2565e+09 1.9267e+09 9.9104e+08 5.516e+08 3.1753e+07 6.114e+10 1.2253e+11 4.5355e+11 3.303e+10 4.2844e+10 37.538 5.921e+07 6.7161e+10 3.813e+09 3.5958e+10 6.3933e+10 1.0138e+11 3.9789e+10 3.5944e+11 1.1869e+12 0.020507 1.491e+10 7.3517e+09 5.4578e+09 3.2665e+09 2.3475e+09 1.9446e+09 1.6611e+09 8.5479e+08 4.7609e+08 3.005e+07 7.1364e+10 1.4328e+11 5.3001e+11 3.9133e+10 3.827e+10 42.214 5.1579e+07 6.7256e+10 3.5725e+09 3.3891e+10 6.0056e+10 1.1679e+11 4.6246e+10 4.1406e+11 1.37e+12 0.019773 1.4006e+10 6.3248e+09 4.6974e+09 2.8102e+09 2.0202e+09 1.6736e+09 1.4303e+09 7.3628e+08 4.1033e+08 2.8283e+07 8.2057e+10 1.6517e+11 6.1062e+11 4.5653e+10 3.4109e+10]; %The cutoff electric field below which rates are assumed to be zero. efrange = [1.0000000000000000e+002 3.1622776601683791e+005 3.5481338923357532e+005 7.0794578438413801e+003 5.0118723362727248e+005 1.122e+06 1.4125375446227554e+006 1.122e+06 1.4125375446227554e+006 1.1220184543019631e+006 1.0000000000000000e+002 1.0000000000000000e+002 1.4125375446227556e+004 1.5848931924611141e+004 2.5118864315095823e+004 1.1220184543019630e+004 2.2387211385683378e+004 7.0794578438413737e+004 8.9125093813374595e+004 1.0000000000000000e+005 1.0000000000000000e+002 1.5848931924611141e+006 1.1220184543019631e+006 1.1220184543019631e+006 1.1220184543019631e+006 1.0000000000000000e+002]; %efrange = [1.0000e+02 1.5210e+05 1.122e+06 1.4125375446227554e+006 1.1220184543019631e+006 1.122e+06 1.4125375446227554e+006 1.0050e+06 1.0051e+06 1.0050e+06 1.0000e+002 1.0000e+002 1.010e+04 1.010e+04 1.010e+04 1.1220184543019630e+004 1.010e+04 1.610e+04 2.010e+04 2.610e+04 1.0000e+002 1.0000e+06 1.0000e+06 1.0000e+06 1.0000e+06 1.0000e+002]; %Calculate Rates r(ef < efrange(i)) = ((i==1)*eng0+(i==11)*mob0+(i==12)*N2v10+(i==21)*CO2v0+(i==26)*N2sv0 ) * ( (i==11)*1/n_n0+(i==1)+(i~=1)*(i~=11)*n_n0 ); r(ef >= efrange(i) & logef <= log_emax) = 10.^(interp1q(log10(field'), log10(table(:,i)+1e-16), logef(ef >= efrange(i) & logef <= log_emax)'))*((i==11)*1/n_n0+(i==1)+(i~=1)*(i~=11)*n_n0); r(logef > log_emax) = 10.^(interp1(log10(field), log10(table(:,i)+1e-16), logef(logef > log_emax), 'linear', 'extrap'))*((i==11)*1/n_n0+(i==1)+(i~=1)*(i~=11)*n_n0); if(max(logef) > log_emax) warning('ELECTRIC FIELD IS TOO LARGE (E*N_0/N>6.3e+7 V/m), RESULT MAY NOT BE VALID') end %if