atmdat_char_tran.cpp

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/* This file is part of Cloudy and is copyright (C)1978-2017 by Gary J. Ferland and
 * others.  For conditions of distribution and use see copyright notice in license.txt */
/*ChargTranEval fill in the CharExcIonOf[ipHYDROGEN] and Rec arrays with Kingdon's fitted CT with H */
/*ChargTranSumHeat sum net heating due to charge transfer, called in HeatSum */
/*HCTIon H charge transfer ionization*/ 
/*HCTRecom H charge transfer recombination */
/*ChargTranPun, save charge transfer coefficient */
/*MakeHCTData holds data for charge transfer fits */
#include "cddefines.h"
#include "phycon.h"
#include "abund.h"
#include "dense.h"
#include "iso.h"
#include "thermal.h"
#include "elementnames.h"
#include "heavy.h"
#include "trace.h"
#include "conv.h"
#include "atmdat.h"
#include "ion_trim.h"
#include "mole.h"

/*HCTion H charge transfer ionization, H+ + A => H + A+ */
STATIC double HCTIon(long int ion, 
  long int nelem);

/*HCTRecom H charge transfer recombination, H + A+ => H+ + A */
STATIC double HCTRecom(long int ion, 
  long int nelem);

/* the translated block data */
STATIC void MakeHCTData(void);

/* the structures for storing the charge transfer data, these are filled in
 * at the end of this file, in what used to be a block data  */
static double CTIonData[LIMELM][4][8];
static double CTRecombData[LIMELM][4][7];
/* this will be flag for whether or not charge transfer data
 * have been initialized */
static bool lgCTDataDefined = false;

/*ChargTranEval update charge trans rate coefficients if temperature has changed */
void ChargTranEval( void )
{
        long int ion, 
          nelem;
        double a, b, c, a_op, b_op, c_op, d_op, e_op, f_op, a_o, 
                        b_o, c_o, d_o, e_o, f_o, g_o; 

        static double TeUsed = -1.;

        DEBUG_ENTRY( "ChargTranEval()" );

        /* first is to force reevaluation on very first call */
        if( !conv.nTotalIoniz || !fp_equal(phycon.te,TeUsed) )
        {
                /* refresh hydrogen charge transfer arrays */
                /* >>chng 01 apr 25, lower limit had been 2, lithium, changed to 1, helium */
                for( nelem=ipHELIUM; nelem < LIMELM; nelem++ )
                {
                        for( ion=0; ion <= nelem; ion++ )
                        {
                                /* >>chng 01 apr 28, add factors  to turn off ct,
                                 * had previously been handled downstream */

                                /* CharExcIonOf[ipHYDROGEN][nelem][ion]*hii  is ion => ion+1 for nelem */
                                /* charge transfer ionization O^0 + H+ -> O+ + H0 
                                 * is CharExcIonOf[ipHYDROGEN][ipOXYGEN][0]*dense.xIonDense[ipHYDROGEN][1]
                                 * charge transfer recombination of atomic hydrogen is
                                 * CharExcIonOf[ipHYDROGEN][ipOXYGEN][0]*dense.xIonDense[ipOXYGEN][0] */
                                atmdat.CharExcIonOf[ipHYDROGEN][nelem][ion] = HCTIon(ion,nelem);

                                /* CharExcRecTo[ipHYDROGEN][nelem][ion]*hi is ion+1 => ion of nelem */
                                /* charge transfer recombination O+ + H0 -> O^0 + H+ is
                                 * CharExcRecTo[ipHYDROGEN][ipOXYGEN][0]*dense.xIonDense[ipHYDROGEN][0]
                                 * charge transfer ionization of atomic hydrogen is
                                 * CharExcRecTo[ipHYDROGEN][ipOXYGEN][0]*dense.xIonDense[ipOXYGEN][1] */
                                atmdat.CharExcRecTo[ipHYDROGEN][nelem][ion] = HCTRecom(ion,nelem);
                        }

                        /* zero out helium charge transfer arrays */
                        for( ion=0; ion < LIMELM; ion++ )
                        {
                                atmdat.CharExcIonOf[ipHELIUM][nelem][ion] = 0.;
                                atmdat.CharExcRecTo[ipHELIUM][nelem][ion] = 0.;
                        }
                }

                /* The above included only the radiative charge transfer from
                 * Stancil et al 1998.  must explicitly add on the ct fitted by Kingdon & Ferland,
                 * The process H0 + He+ -> He0 + H+ */
                atmdat.CharExcRecTo[ipHYDROGEN][ipHELIUM][0] += 7.47e-15*pow(phycon.te/1e4,2.06)*
                        (1.+9.93*sexp(3.89e-4*phycon.te) );

                /* >>chng 04 jun 21 -- NPA.  Put in the charge transfer rate for:
                        He+ + H => He + H+ as defined in the UMIST database.  This is only
                        used if the "set UMIST rates" command is used */
                if(mole_global.lgLeidenHack)
                {
                        atmdat.CharExcRecTo[ipHYDROGEN][ipHELIUM][0] = 4.85e-15*pow(phycon.te/300, 0.18);
                }
                /* >>chng 04 jun 21 -- NPA.  update the charge transfer rates between hydrogen
                   and oxygen to:  
                   >>refer      O       CT      Stancil, et al. 1999, A&AS, 140, 225-234 
                   Instead of using the UMIST rate, the program TableCurve was used
                   to generate a fit to the data listed in Tables 2, 3, and 4 of the 
                   aforementioned reference. The following fitting equations agree 
                   very well with the published data. */

                /* At or below 10K, just use the value the formula's below give
                   at 10K.*/
                /* do both O+ -> O and O -> O+ for low T limit */
                if(phycon.te <= 10. )
                {
                        atmdat.CharExcRecTo[ipHYDROGEN][ipOXYGEN][0] = 3.744e-10;
                        atmdat.CharExcIonOf[ipHYDROGEN][ipOXYGEN][0] = 4.749e-20;
                }

                /* this does O+ -> O for all higher temperatures */
                if( phycon.te > 10.)
                {
                        a_op = 2.3344302e-10;
                        b_op = 2.3651505e-10;
                        c_op = -1.3146803e-10;
                        d_op = 2.9979994e-11;
                        e_op = -2.8577012e-12;
                        f_op = 1.1963502e-13;

                        double lnte = phycon.alnte;

                        /* equation rank 53 of TableCurve */
                        atmdat.CharExcRecTo[ipHYDROGEN][ipOXYGEN][0] =
                                ((((f_op*lnte + e_op)*lnte + d_op)*lnte + c_op)*lnte + b_op)*lnte + a_op;
                }

                /* now do O -> O+
                 * The next two equations were chosen to match up at 200K, so that there
                 *are no discontinuities */
                if((phycon.te > 10.) && (phycon.te <= 190.))
                {
                        a = -21.134531;
                        b = -242.06831;
                        c = 84.761441;

                        /* equation rank 2 of TableCurve */
                        atmdat.CharExcIonOf[ipHYDROGEN][ipOXYGEN][0] = exp((a + b/SDIV(phycon.te) + c/SDIV(phycon.tesqrd)));
                }

                else if((phycon.te > 190.) && (phycon.te <= 200.))
                {

                        /* We are using two fitting formula's for this rate, in order to assure no
                        sudden "jumps" in the rate, the rate between 190-200K is made to 
                        increase linearly.  The formula below gets the same answer as the equation
                        above at 190K, and gets the same answer as the the formula below this one 
                        at 200K*/
                        atmdat.CharExcIonOf[ipHYDROGEN][ipOXYGEN][0] = 2.18733e-12*(phycon.te-190) + 1.85823e-10;
                }

                else if(phycon.te > 200.)
                {

                        a_o = -7.6767404e-14;
                        b_o = -3.7282001e-13;
                        c_o = -1.488594e-12;
                        d_o = -3.6606214e-12; 
                        e_o = 2.0699463e-12;
                        f_o = -2.6139493e-13;
                        g_o = 1.1580844e-14;

                        double lnte = phycon.alnte;

                        /* equation rank 120 of TableCurve */
                        atmdat.CharExcIonOf[ipHYDROGEN][ipOXYGEN][0] = 
                                (((((g_o*lnte + f_o)*lnte + e_o)*lnte + d_o)*lnte + c_o)*lnte + b_o)*lnte + a_o;
                }

                /* use UMIST rates for charge transfer if UMIST command is used - disagree
                 * by 20% at 5000K and diverge at high temperature */
                if(mole_global.lgLeidenHack)
                {
                        atmdat.CharExcIonOf[ipHYDROGEN][ipOXYGEN][0] = hmrate4(7.31e-10,0.23,225.9,phycon.te);
                        atmdat.CharExcRecTo[ipHYDROGEN][ipOXYGEN][0] = hmrate4(5.66e-10,0.36,-8.60,phycon.te);
                }

                /* >>chng 01 may 07, following had all been +=, ok if above was zero.
                 * changed to = and added HCTOn */
                /* >>chng 01 jan 30, add following block of CT reactions */
                /* ionization, added as per Phillip Stancil OK, number comes from 
                 * >>refer      Fe      CT      Tielens, A. G. G. M., & Hollenbach, D. 1985a, ApJ, 294, 722-746 */
                /* >>refer      Fe      CT      Prasad, S. S., & Huntress, W. T. 1980, ApJS, 43, 1-35 */
                /* the actual rate comes from the following paper: */
                /* >>refer      Fe      CT      Pequignot, D., & Aldrovandi, S. M. V. 1986, A&A, 161, 169-176 */
                /* Fe0 + H+ => Fe+ + H0 */
                /*>>chng 05 sep 15, GS, old rate had problem in predicting observed Fe I column density along HD185418.
                 *>> refer Private communication with Stancil, data taken from ORNL web site,
                 * "There is a well known problem with the Fe charge transfer rate  coefficients: i.e., there are no accurate calculations nor or there
                        any experiments. For Fe + H+ -> Fe+ + H, I estimated for Gary a few  years ago the value of 5.4e-9. So mid way between the two values
                        you are using. I have some notes on it in my office, but not with me.  See: http://cfadc.phy.ornl.gov/astro/ps/data/home.html
                         value changed from 3e-9 to 5.4e-9 */

                atmdat.CharExcIonOf[ipHYDROGEN][ipIRON][0] = 5.4e-9;
                /*>>chng 06 sep 20 - following sets removes Fe ionization ct to be similar to Mg */
                /*atmdat.CharExcIonOf[ipHYDROGEN][ipIRON][0] = 0.;broken();rm this line */

                /* all remaining entries are from Pequignot & Aldrovandi*/
                /* >>refer      Al      CT      Pequignot, D., & Aldrovandi, S. M. V. 1986, A&A, 161, 169-176 */
                /* Al0 + H+ => Al+ + H0 */
                atmdat.CharExcIonOf[ipHYDROGEN][ipALUMINIUM][0] = 3e-9;

                /* >>refer      P       CT      Pequignot, D., & Aldrovandi, S. M. V. 1986, A&A, 161, 169-176 */
                /* P0 + H+ => P+ + H0 */
                atmdat.CharExcIonOf[ipHYDROGEN][ipPHOSPHORUS][0] = 1e-9;

                /* >>refer      Cl      CT      Pequignot, D., & Aldrovandi, S. M. V. 1986, A&A, 161, 169-176 */
                /* Cl0 + H+ => Cl+ + H0 */
                atmdat.CharExcIonOf[ipHYDROGEN][ipCHLORINE][0] = 1e-9;

                /* >>refer      Ti      CT      Pequignot, D., & Aldrovandi, S. M. V. 1986, A&A, 161, 169-176 */
                /* Ti0 + H+ => Ti+ + H0 */
                atmdat.CharExcIonOf[ipHYDROGEN][ipTITANIUM][0] = 3e-9;

                /* >>refer      Mn      CT      Pequignot, D., & Aldrovandi, S. M. V. 1986, A&A, 161, 169-176 */
                /* Mn0 + H+ => Mn+ + H0 */
                atmdat.CharExcIonOf[ipHYDROGEN][ipMANGANESE][0] = 3e-9;

                /* >>refer      Ni      CT      Pequignot, D., & Aldrovandi, S. M. V. 1986, A&A, 161, 169-176 */
                /* Ni0 + H+ => Ni+ + H0 */
                atmdat.CharExcIonOf[ipHYDROGEN][ipNICKEL][0] = 3e-9;

                /* >>chng 01 feb 02, add following CT reaction from */
                /* >>refer      Na0     CT      Dutta, C. M., Nordlander, P., Kimura, M., & Dalgarno, A. 2001, Phys. Rev. A, 63, 022709 */
                /* this is roughly their number around 500K - they do not give explicit values, rather
                 * a small figure.  Previous calculations were 5 orders of mag smaller at this temp.  
                 * ND this deposits electron into n=2 */
                /* Na0 + H+ => Na+ + H0(n=2) */
                atmdat.CharExcIonOf[ipHYDROGEN][ipSODIUM][0] = 7e-12;

                /* >>chng 05 sep 15,GS, add following CT reaction from */
                /* >>refer      Na0     CT      Watanabe, A., Dutta, C. M., Nordlander, P., et al. 2002, Phys. Rev. A, 66, 044701 */
                /* this is roughly their number around 50K - they do not give explicit values, rather
                 * a small figure. this deposits electron into n=1
                 * Na0 + H+ => Na+ + H0(n=1) 
                 * add to previous rate which was for population of n=2 */
                atmdat.CharExcIonOf[ipHYDROGEN][ipSODIUM][0] += 0.7e-12;

                /* >>chng 05 sep 15, GS, add following CT reaction from 
                 * >>refer      K0      CT      Watanabe, A., Dutta, C. M., Nordlander, P., et al. 2002, Phys. Rev. A, 66, 044701 
                 * this is roughly their number around 50K - they do not give explicit values, rather
                 * a small figure. 
                 * K0 + H+ => K+ + H0(n=1) */
                atmdat.CharExcIonOf[ipHYDROGEN][ipPOTASSIUM][0] = 1.25e-12;

                /* >>chng 05 sep 15, GS, add following CT reaction from 
                 * >>refer      S0      CT      ORNL data base for charge transfer      
                 * This rate is valid for 1e3 to 1e4. Due to the small value, I did not put any limit on temp. 
                 * Earlier, other reactions also assume constant value
                 * S0 + H+ => H + S+ */
                atmdat.CharExcIonOf[ipHYDROGEN][ipSULPHUR][0] = 1.e-14;

                if( phycon.te < 1e5 )
                {

                        /* >>chng 05 sep 15, GS, add following CT reaction from 
                         * >>refer      Mg0     CT      ORNL data base for charge transfer,
                         * this rate is valid for temp 5e3 to 3e4, The rate goes down very fast in low temp. So I did not put a lower cut of for temp   
                         * Mg0 + H+ => H + Mg+ */
                        atmdat.CharExcIonOf[ipHYDROGEN][ipMAGNESIUM][0] = 9.76e-12*pow((phycon.te/1e4),3.14)*(1. + 55.54*sexp(1.12*phycon.te/1e4));
                        /*>>chng 06 jul 20, do not allow this to fall below UMIST rate - above fit not intended for 
                         * very low temperatures */
                        /*>>chng 06 aug 01, UMIST is bogus - email exchange with Phillip Stancil, late July 2006 */
                        /*atmdat.CharExcIonOf[ipHYDROGEN][ipMAGNESIUM][0] = MAX2( 1.1e-9 , atmdat.CharExcIonOf[ipHYDROGEN][ipMAGNESIUM][0]);*/
                        /*>>chng 06 sep 20 - following sets Mg ionization ct to Fe */
                        /*atmdat.CharExcIonOf[ipHYDROGEN][ipMAGNESIUM][0] = 5.4e-9;broken(); rm this line */

                        /* >>chng 05 sep 15, GS, add following CT reaction from 
                         * >>refer      Si0     CT      ORNL data base for charge transfer
                         * this rate is valid for temp 1e3 to 2e5, The rate goes down very fast in low temp. So I did not put a lower cut of for temp
                         * Si0 + H+ => H + Si+ */
                        atmdat.CharExcIonOf[ipHYDROGEN][ipSILICON][0] = 0.92e-12*pow((phycon.te/1e4),1.15)*(1. + 0.80*sexp(0.24*phycon.te/1e4));
                        /*>>chng 06 jul 20, do not allow this to fall below UMIST rate - above fit not intended for 
                         * very low temperatures */
                        /*>>chng 06 aug 01, UMIST rate is bogus as per Phillip Stancil emails of late July 2006 */
                        /*atmdat.CharExcIonOf[ipHYDROGEN][ipSILICON][0] = MAX2( 9.9e-10 , atmdat.CharExcIonOf[ipHYDROGEN][ipSILICON][0]);*/

                        /* >>chng 05 sep 15, GS, add following CT reaction from 
                         * >>refer      Li0     CT      ORNL data base for charge transfer
                         * this rate is valid for temp 1e2 to 1e4, The rate goes down very fast in low temp. So I did not put a lower cut of for temp
                         * Li0 + H+ => H + Li+ */
                        atmdat.CharExcIonOf[ipHYDROGEN][ipLITHIUM][0] = 2.84e-12*pow((phycon.te/1e4),1.99)*(1. + 375.54*sexp(54.07*phycon.te/1e4));
                }
                else
                {
                        atmdat.CharExcIonOf[ipHYDROGEN][ipMAGNESIUM][0] = 0.;
                        atmdat.CharExcIonOf[ipHYDROGEN][ipSILICON][0] = 0.;
                        atmdat.CharExcIonOf[ipHYDROGEN][ipLITHIUM][0] = 0.;
                }

                {
                        /*>>chng 06 jul 07, Terry Yun add these charge transfer reactions */
                        /*>>refer       N0      CT      Lin, C. Y., Stancil, P. C., Gu, J. P., et al. 2005, Phys. Rev. A, 71, 062708 
                         * and combined with data from 
                         *>>refer       N0      CT      Butler, S. E., & Dalgarno, A. 1979, ApJ, 234, 765 */

                        /* natural log of te */
                        double tefac = phycon.te * phycon.alnte;

                        /* N(4S) + H+ -> N+(3P) + H */
                        /* >>chng 06 jul 10, add exp for endoergic reaction */
                        double ct_from_n0grhp_to_npgrh0 = (1.64e-16*phycon.te - 8.76e-17*tefac + 2.41e-20*phycon.tesqrd + 9.83e-13*phycon.alnte )*
                                sexp( 10985./phycon.te ) * atmdat.lgCTOn;

                        /* N(2D) + H+ -> N+(3P) + H */
                        /*double ct_from_n0exhp_to_npgrh0 = 1.51e-15*phycon.te -1.61e-16*tefac + 7.74e-21*phycon.tesqrd + 1.34e-16*phycon.alnte;*/

                        /* N+(3P) + H -> N(4S) + H+ endoergic */
                        double ct_from_npgrh0_to_n0grhp = (1.56e-15*phycon.te - 1.79e-16*tefac + 1.15e-20*phycon.tesqrd + 1.08e-13*phycon.alnte) * atmdat.lgCTOn;

                        /* N+(3P) + H0 -> N(2D) + H+ */
                        /* >>chng 06 jul 10, add exp for endoergic reaction */
                        atmdat.HCharExcRecTo_N0_2D = (6.83e-16*phycon.te - 7.40e-17*tefac + 3.73e-21*phycon.tesqrd + 1.75e-15*phycon.alnte)*
                                 sexp( 16680./phycon.te ) * atmdat.lgCTOn;

                        /* these rates are from the ground state into all possible states of the
                         * species that is produced */
                        atmdat.CharExcIonOf[ipHYDROGEN][ipNITROGEN][0] = ct_from_n0grhp_to_npgrh0;
                        atmdat.CharExcRecTo[ipHYDROGEN][ipNITROGEN][0] = ct_from_npgrh0_to_n0grhp + atmdat.HCharExcRecTo_N0_2D;
                }

                /*>>chng 06 aug 01, update O++ and N++ -- H0 CT recombination 
                 *>>refer       O3      CT      Barragan, P., Errea, L. F., Mendez, L., et al. 2006, ApJ, 636, 544 */
                /* O+2 + H -> O+ + H+ */
                if( phycon.te <= 1500. )
                {
                        atmdat.CharExcRecTo[ipHYDROGEN][ipOXYGEN][1] = 0.5337e-9*pow( (phycon.te/100.) ,-0.076);
                }
                else
                {
                        atmdat.CharExcRecTo[ipHYDROGEN][ipOXYGEN][1] = 0.4344e-9 +
                                0.6340e-9*pow( log10(phycon.te/1500.) ,2.06 );
                }

                /* N+2 + H -> N+ + H+ */
                if( phycon.te <= 1500. )
                {
                        atmdat.CharExcRecTo[ipHYDROGEN][ipNITROGEN][1] = 0.8692e-9*pow( (phycon.te/1500.) ,0.17);
                }
                else if( phycon.te <= 20000. )
                {
                        atmdat.CharExcRecTo[ipHYDROGEN][ipNITROGEN][1] = 0.9703e-9*pow( (phycon.te/10000.) ,0.058);
                }
                else
                {
                        atmdat.CharExcRecTo[ipHYDROGEN][ipNITROGEN][1] = 1.0101e-9 +
                                1.4589e-9*pow( log10(phycon.te/20000.) ,2.06 );
                }

                /* ===================== helium charge transfer ====================*/

                /* atmdat.CharExcIonOf[ipHELIUM] is ionization, */
                /* [0] is Atom^0 + He+ => Atom+1 + He0
                 * [n] is Atom^+n + He+ => Atom^+n-1 + He0 */

                /* atmdat.CharExcRecTo[ipHELIUM] is recombination */
                /* [0] is Atom^+1 + He0 => Atom^0 + He^+
                 * [n] is Atom^+n+1 + He0 => Atom^+n + He^+ */

                /* Carbon */
                /* recombination */
                /* C+3 + He => C+2 + He+ */
                /* >>refer      C3      CT      Butler, S. E., & Dalgarno, A. 1980b, ApJ, 241, 838 */
                atmdat.CharExcRecTo[ipHELIUM][ipCARBON][2] = 4.6e-19*phycon.tesqrd;

                /* C+4 + He => C+3 + He+ */
                /* >>refer      C4      CT      Butler, S. E., & Dalgarno, A. 1980b, ApJ, 241, 838 */
                atmdat.CharExcRecTo[ipHELIUM][ipCARBON][3] = 1e-14;

                /* ionization */
                /* C0 + He+ => C+ + He0 */
                /* unknown reference, from older version of the code */
                /*atmdat.CharExcIonOf[ipHELIUM][ipCARBON][0] = 4.17e-17*(phycon.te/phycon.te03);*/

                /* >>chng 04 jun 21 -- update this rate to that given in the UMIST database - NPA */
                atmdat.CharExcIonOf[ipHELIUM][ipCARBON][0] = 6.3e-15*pow((phycon.te/300),0.75);

                /* C+1 + He+ => C+2 + He */
                /* >>refer      C1      CT      Butler, S. E., Heil, T. G., & Dalgarno, A. 1980, ApJ, 241, 442*/
                atmdat.CharExcIonOf[ipHELIUM][ipCARBON][1] = 
                        5e-20*phycon.tesqrd*sexp(0.07e-4*phycon.te)*sexp(6.29/phycon.te_eV);

                /* nitrogen */
                /* recombination */
                /* N+2 => N+ Butler and Dalgarno 1980B
                 * ct with update
                 * >>refer      N2      CT      Sun, Y., Sadeghpour, H.R., Kirby, K., et al. CfA preprint 4208
                 * this agrees with exp 
                 * >>refer      N2      CT      Fang, Z., & Kwong, V. H. S. 1997, ApJ, 474, 529 */
                atmdat.CharExcRecTo[ipHELIUM][ipNITROGEN][1] = 0.8e-10;

                /* N+3 => N+2 */
                /* >>refer      N3      CT      Butler, S. E., & Dalgarno, A. 1980b, ApJ, 241, 838 */
                atmdat.CharExcRecTo[ipHELIUM][ipNITROGEN][2] = 1.5e-10;

                /* ce rate from quantal calc of ce,
                 * >>refer      N4      CT      Feickert, C. A., Blint, R. J., Surratt, G. T., & Watson, W.D. 1984, ApJ, 286, 371,
                 * >>refer      N4      CT      Rittby, M., Elander, N., Brandas, E., & Barany, A. 1984, J. Phys. B, 17, L677.
                 * CR = 1.E-9 + 8E-12 * TE10 * SQRTE */
                atmdat.CharExcRecTo[ipHELIUM][ipNITROGEN][3] = 2e-9;

                /* ionization */
                /* N+1 + He+ => N+2 + He */
                /* >>refer      N1      CT      Butler, S. E., & Dalgarno, A. 1980b, ApJ, 241, 838 */
                atmdat.CharExcIonOf[ipHELIUM][ipNITROGEN][1] = 
                        3.7e-20*phycon.tesqrd*sexp(0.063e-4*phycon.te)*sexp(1.44/phycon.te_eV);

                /* oxygen */
                /* recombination */
                /* O+2 + He  => O+1 + He+ */
                /* >>refer      O2      CT      Butler, S. E., & Dalgarno, A. 1980b, ApJ, 241, 838 */
                atmdat.CharExcRecTo[ipHELIUM][ipOXYGEN][1] = 3.2e-14*phycon.te/phycon.te05;
                /* O+3 + He => O+2 + He+ */
                /* >>refer      O3      CT      Butler, S. E., & Dalgarno, A. 1980b, ApJ, 241, 838 */
                atmdat.CharExcRecTo[ipHELIUM][ipOXYGEN][2] = 1e-9;
                /* O+4 + He  => O+3 + He+ */
                /* >>refer      O4      CT      Butler, S. E., & Dalgarno, A. 1980b, ApJ, 241, 838 */
                atmdat.CharExcRecTo[ipHELIUM][ipOXYGEN][3] = 6e-10;

                /* ionization */
                /* O0 + He+ => O+ + He0 */
                /* >>refer      O0      CT      Zhao, L. B., Stancil, P. C., Gu, J. P., et al. 2004, ApJ, 615, 1063 */
                atmdat.CharExcIonOf[ipHELIUM][ipOXYGEN][0] = 
                        4.991E-15 * pow( phycon.te / 1e4, 0.3794 )* sexp( phycon.te/1.121E6 ) +
                        2.780E-15 * pow( phycon.te / 1e4, -0.2163 )* exp( -1. * MIN2(1e7, phycon.te)/(-8.158E5) );

                /* neon */
                /* recombination */
                /* Ne+2 + He  => Ne+1 + He+ */
                /* >>refer      Ne2     CT      Butler, S. E., & Dalgarno, A. 1980b, ApJ, 241, 838 */
                atmdat.CharExcRecTo[ipHELIUM][ipNEON][1] = 1e-14;
                /* Ne+3 + He => Ne+2 + He+ */
                /* >>refer      Ne3     CT      Butler, S. E., & Dalgarno, A. 1980b, ApJ, 241, 838 */
                atmdat.CharExcRecTo[ipHELIUM][ipNEON][2] = 1e-16*phycon.sqrte;
                /* Ne+4 + He  => Ne+3 + He+ */
                /* >>refer      Ne4     CT      Butler, S. E., & Dalgarno, A. 1980b, ApJ, 241, 838 */
                atmdat.CharExcRecTo[ipHELIUM][ipNEON][3] = 1.7e-11*phycon.sqrte;

                /* magnesium */
                /* recombination */
                /* Mg+3 + Heo => Mg+2 */
                /* >>refer      Mg3     CT      Butler, S. E., & Dalgarno, A. 1980b, ApJ, 241, 838 */
                atmdat.CharExcRecTo[ipHELIUM][ipMAGNESIUM][2] = 7.5e-10;
                /* Mg+4 + Heo => Mg+3 */
                /* >>refer      Mg4     CT      Butler, S. E., & Dalgarno, A. 1980b, ApJ, 241, 838 */
                atmdat.CharExcRecTo[ipHELIUM][ipMAGNESIUM][3] = 1.4e-10*phycon.te30;


                /* silicon */
                /* recombination */
                /* Si+3 +He => Si+2 + He+ */
                /* >>refer      Si3     CT      Butler, S. E., & Dalgarno, A. 1980b, ApJ, 241, 838 
                 * scale by 1.3 to bring into agreement with
                 * >>refer      Si3     CT      Fang, Z., & Kwong, V. H. S. 1997, ApJ, 483, 527 */
                atmdat.CharExcRecTo[ipHELIUM][ipSILICON][2] += phycon.sqrte*phycon.te10*phycon.te10*
                  1.3*1.5e-12;

                /* Si+4 + Heo => Si+3
                 * >>refer      Si4     CT      Opradolce, L., McCarrol, R., & Valiron, P. 1985, A&A, 148, 229 */
                atmdat.CharExcRecTo[ipHELIUM][ipSILICON][3] = 2.54e-11*phycon.sqrte/phycon.te03/
                  phycon.te01/phycon.te01;

                /* ionization */
                /* Si0 + He+ => Si+ + He0 */
                /* >>refer      Si0     CT      Prasad, S. S., & Huntress, W. T. 1980, ApJS, 43, 1-35 */
                atmdat.CharExcIonOf[ipHELIUM][ipSILICON][0] = 3.3e-9;

                /* Si+1 + He+ => Si+2 + He */
                /* >>refer      Si1     CT      Butler, S. E., & Dalgarno, A. 1980b, ApJ, 241, 838 */
                atmdat.CharExcIonOf[ipHELIUM][ipSILICON][1] = 
                        1.5e-11*phycon.te20*phycon.te05*sexp(6.91/phycon.te_eV);

                /* Si+2 + He+ => Si+3 + He */
                /* >>refer      Si2     CT      Gargaud, M., McCarroll, R., & Valiron, P. 1982, A&AS, 45, 603 */
                atmdat.CharExcIonOf[ipHELIUM][ipSILICON][2] = 
                        1.15e-11*phycon.sqrte*sexp(8.88/phycon.te_eV);

                /* sulphur */
                /* recombination */
                /* S+3 + Heo => S+2 */
                /* >>refer      S3      CT      Butler, S. E., & Dalgarno, A. 1980b, ApJ, 241, 838 */
                atmdat.CharExcRecTo[ipHELIUM][ipSULPHUR][2] = phycon.sqrte*1.1e-11;

                /* S+4 + Heo => S+3 */
                /* >>refer      S4      CT      Butler, S. E., & Dalgarno, A. 1980b, ApJ, 241, 838 */
                /* >>chng 04 jul 01, from [ipSULPHUR][2] to [3] - bug */
                atmdat.CharExcRecTo[ipHELIUM][ipSULPHUR][3] = 4.8e-14*phycon.te30;

                /* ionization */
                /* S+1 + He+ => S+2 + He */
                /* >>refer      S1      CT      Butler, S. E., & Dalgarno, A. 1980b, ApJ, 241, 838 */
                atmdat.CharExcIonOf[ipHELIUM][ipSULPHUR][1] = 
                        4.4e-16*phycon.te*phycon.te20*sexp(0.036e-4*phycon.te)*sexp(9.2/phycon.te_eV);

                /* S+2 + He+ => S+3 + He */
                /* >>refer      S2      CT      Butler, S. E., & Dalgarno, A. 1980b, ApJ, 241, 838 */
                atmdat.CharExcIonOf[ipHELIUM][ipSULPHUR][2] = 
                        5.5e-18*phycon.te*phycon.sqrte*phycon.te10*sexp(0.046e-4*phycon.te)*sexp(10.5/phycon.te_eV);

                /* Argon */
                /* recombination */
                /* >>refer      Ar2     CT      Butler, S. E., & Dalgarno, A. 1980b, ApJ, 241, 838 */
                atmdat.CharExcRecTo[ipHELIUM][ipARGON][1] = 1.3e-10;

                /* >>refer      Ar3     CT      Butler, S. E., & Dalgarno, A. 1980b, ApJ, 241, 838 */
                atmdat.CharExcRecTo[ipHELIUM][ipARGON][2] = 1.e-14;

                /* >>refer      Ar4     CT      Butler, S. E., & Dalgarno, A. 1980b, ApJ, 241, 838 */
                atmdat.CharExcRecTo[ipHELIUM][ipARGON][3] = 1.6e-8/phycon.te30;

                /* ionization */
                /* Ar+1 + He+ => Ar+2 + He0 */
                /* >>refer      Ar1     CT      Butler, S. E., & Dalgarno, A. 1980b, ApJ, 241, 838 */
                atmdat.CharExcIonOf[ipHELIUM][ipARGON][1] = 1.1e-10;

                TeUsed = phycon.te;

                if(mole_global.lgLeidenHack)
                {
                        /* Set all charge transfer rates equal to zero that do not appear
                           in the UMIST database.  This if statement is only performed
                           if the "set UMIST rates" command is used */

                        atmdat.CharExcIonOf[ipHYDROGEN][ipHELIUM][0] = 0;
                        atmdat.CharExcIonOf[ipHYDROGEN][ipCARBON][0] = 0;
                        atmdat.CharExcRecTo[ipHYDROGEN][ipCARBON][0] = 0;

                        atmdat.CharExcRecTo[ipHELIUM][ipCARBON][0] = 0;
                        atmdat.CharExcIonOf[ipHELIUM][ipOXYGEN][0] = 0;
                        atmdat.CharExcRecTo[ipHELIUM][ipOXYGEN][0] = 0;
                }


                /* this is set false with the no charge transfer command */
                if( !atmdat.lgCTOn )
                {
                        for( nelem=0; nelem< LIMELM; ++nelem )
                        {
                                for( ion=0; ion<LIMELM; ++ion )
                                {
                                        atmdat.CharExcIonOf[ipHYDROGEN][nelem][ion] = 0.;
                                        atmdat.CharExcRecTo[ipHYDROGEN][nelem][ion] = 0.;
                                        atmdat.CharExcIonOf[ipHELIUM][nelem][ion] = 0.;
                                        atmdat.CharExcRecTo[ipHELIUM][nelem][ion] = 0.;
                                }
                        }
                }
        }

        return;
}

/*================================================================================*
 *================================================================================*/
double ChargTranSumHeat(void)
{
        long int ion, 
          nelem;
        double SumCTHeat_v;

        DEBUG_ENTRY( "ChargTranSumHeat()" );

        /* second dimension is ionization stage,
         * 1=+1 for parent, etc
         * third dimension is atomic weight of atom */

        /* make sure data are initialized */
        ASSERT( lgCTDataDefined );

        SumCTHeat_v = 0.;
        /* >>chng 01 apr 25, lower limit had been 0 should have been 1 (helium) */
        for( nelem=ipHELIUM; nelem < LIMELM; nelem++ )
        {
                /* >>chng >>01 apr 25, loops had been to LIMELM, which may have done no harm
                 * since extra array elements were set to zero, but is incorrect since the physical
                 * limit is the number of stages of ionization */
                int limit = MIN2(4, nelem);
                /* this first group of lower stages of ionization have exact rate coefficients */
                for( ion=0; ion < limit; ion++ )
                {
                        /* CTIonData[nelem][ion][7] and CTRecombData[nelem][ion][6] are the energy deficits in eV,
                         * atmdat.CharExcIonOf[ipHYDROGEN][nelem][ion] and atmdat.CharExcIonOf[ipHYDROGEN][nelem][ion] 
                         * save the rate coefficients 
                         * this is sum of heat exchange in eV s^-1 cm^-3 */
                        SumCTHeat_v += 

                                /* heating due to ionization of heavy element, recombination of hydrogen */
                                atmdat.CharExcIonOf[ipHYDROGEN][nelem][ion]*CTIonData[nelem][ion][7]*
                                dense.xIonDense[ipHYDROGEN][1]*
                                dense.xIonDense[nelem][ion] + 

                                /* heating due to recombination of heavy element, ionization of hydrogen */
                                atmdat.CharExcRecTo[ipHYDROGEN][nelem][ion]*CTRecombData[nelem][ion][6]*
                                //iso_sp[ipH_LIKE][ipHYDROGEN].st[ipH1s].Pop()*
                                dense.xIonDense[ipHYDROGEN][0]*
                                dense.xIonDense[nelem][ion+1];
                }

                /* >>chng >>01 apr 25, following loop had been to LIMELM, change to nelem */
                /* following do not have exact energies, so use 2.86*(Z-1) */
                for( ion=4; ion < nelem; ion++ )
                {
                        SumCTHeat_v += 
                                atmdat.CharExcRecTo[ipHYDROGEN][nelem][ion]* 2.86*(double)ion *
                                dense.xIonDense[ipHYDROGEN][0]*
                                dense.xIonDense[nelem][ion+1];
                }
        }

#if 0
        /* charge exchange with helium */
        for( nelem=ipLITHIUM; nelem < LIMELM; nelem++ )
        {
                /* >>chng >>01 apr 25, loops had been to LIMELM, which may have done no harm
                 * since extra array elements were set to zero, but is incorrect since the physical
                 * limit is the number of stages of ionization */
                int limit = MIN2(4, nelem);
                /* this first group of lower stages of ionization have exact rate coefficients */
                for( ion=0; ion < limit; ion++ )
                {
                        fixit(); // fill in these barriers
                        double barrier_rec_eV = CTIonData[nelem][ion][7];
                        double barrier_ion_eV = CTRecombData[nelem][ion][6];
                        
                        /* atmdat.CharExcIonOf[ipHELIUM][nelem][ion] and atmdat.CharExcIonOf[ipHELIUM][nelem][ion] 
                         * save the rate coefficients 
                         * this is sum of heat exchange in eV s^-1 cm^-3 */
                        SumCTHeat_v += 

                                /* heating due to ionization of heavy element, recombination of helium */
                                atmdat.CharExcIonOf[ipHELIUM][nelem][ion]*barrier_rec_eV*
                                dense.xIonDense[ipHELIUM][1]*
                                dense.xIonDense[nelem][ion] + 

                                /* heating due to recombination of heavy element, ionization of helium */
                                atmdat.CharExcRecTo[ipHELIUM][nelem][ion]*barrier_ion_eV*
                                //iso_sp[ipHE_LIKE][ipHELIUM].st[ipH1s].Pop()*
                                dense.xIonDense[ipHELIUM][0]*
                                dense.xIonDense[nelem][ion+1];
                }

                /* >>chng >>01 apr 25, following loop had been to LIMELM, change to nelem */
                /* following do not have exact energies, so use 2.86*(Z-1) */
                for( ion=4; ion < nelem; ion++ )
                {
                        SumCTHeat_v += 
                                atmdat.CharExcRecTo[ipHELIUM][nelem][ion]* 2.86*(double)ion *
                                dense.xIonDense[ipHELIUM][0]*
                                dense.xIonDense[nelem][ion+1];
                }
        }
#endif

        /* convert from eV to ergs, HCharHeatOn usually 1, set to 0 with no CTHeat,  
         * EN1EV is ergs in 1 eV, 1.602176e-012*/
        SumCTHeat_v *= EN1EV * atmdat.HCharHeatOn;

        if( thermal.htot > 1e-35 )
        {
                /* remember largest fractions of heating and cooling for comment */
                atmdat.HCharHeatMax = MAX2(atmdat.HCharHeatMax,
                        SumCTHeat_v/thermal.htot );

                atmdat.HCharCoolMax = MAX2(atmdat.HCharCoolMax,
                        -SumCTHeat_v/thermal.htot);
        }

        /* debug code to print out the contributors to total CT heating */
        {
                enum {DEBUG_LOC=false};
                if( DEBUG_LOC)
                {
#                       define FRAC     0.1
                        for( nelem=ipHELIUM; nelem < LIMELM; nelem++ )
                        {
                                /* >>chng >>01 apr 25, loops had been to LIMELM, which may have done no harm
                                 * since extra array elements were set to zero, but is incorrect since the physical
                                 * limit is the number of stages of ionization */
                                int limit = MIN2(4, nelem);
                                /* this first group of lower stages of ionization have exact rate coefficients */
                                for( ion=0; ion < limit; ion++ )
                                {
                                        if(
                                                /* heating due to ionization of heavy element, recombination of hydrogen */
                                                (atmdat.CharExcIonOf[ipHYDROGEN][nelem][ion]*CTIonData[nelem][ion][7]*
                                                (double)dense.xIonDense[ipHYDROGEN][1]*(double)dense.xIonDense[nelem][ion] + 

                                                /* heating due to recombination of heavy element, ionization of hydrogen */
                                                atmdat.CharExcRecTo[ipHYDROGEN][nelem][ion]*CTRecombData[nelem][ion][6]*
                                                iso_sp[ipH_LIKE][ipHYDROGEN].st[ipH1s].Pop()*
                                                (double)dense.xIonDense[nelem][ion+1])/SumCTHeat_v> FRAC )

                                                fprintf(ioQQQ,"DEBUG ct %li %li %.3f\n", nelem, ion, 
                                                        (atmdat.CharExcIonOf[ipHYDROGEN][nelem][ion]*CTIonData[nelem][ion][7]*
                                                        (double)dense.xIonDense[ipHYDROGEN][1]*(double)dense.xIonDense[nelem][ion] + 

                                                        /* heating due to recombination of heavy element, ionization of hydrogen */
                                                        atmdat.CharExcRecTo[ipHYDROGEN][nelem][ion]*CTRecombData[nelem][ion][6]*
                                                        iso_sp[ipH_LIKE][ipHYDROGEN].st[ipH1s].Pop()*
                                                        (double)dense.xIonDense[nelem][ion+1])  );
                                }

                                for( ion=4; ion < nelem; ion++ )
                                {
                                        if(
                                                (atmdat.CharExcRecTo[ipHYDROGEN][nelem][ion]* 2.86*(double)ion *
                                                (double)dense.xIonDense[ipHYDROGEN][0]*(double)dense.xIonDense[nelem][ion+1])/SumCTHeat_v> FRAC )
                                                fprintf(ioQQQ,"DEBUG ct %li %li %.3f\n", nelem, ion, 
                                                (atmdat.CharExcRecTo[ipHYDROGEN][nelem][ion]* 2.86*(double)ion *
                                                (double)dense.xIonDense[ipHYDROGEN][0]*(double)dense.xIonDense[nelem][ion+1]) );
                                }
                        }
#                       undef FRAC
                        fprintf(ioQQQ,"DEBUG ct tot %.3e\n", SumCTHeat_v / thermal.htot );
                }
        }
        return( SumCTHeat_v );
}

/*================================================================================*
 *================================================================================*/
STATIC double HCTIon(
        /* ion is stage of ionization on C scale, 0 for atom */
        long int ion,           
        /* nelem is atomic number of element on C scale, 1 to 29 */
        /* HCTIon(1,5) is C+ + H+ => C++ + H */
        long int nelem) 
{
        double HCTIon_v, 
          tused;

        DEBUG_ENTRY( "HCTIon()" );
        /* H charge transfer ionization, using Jim Kingdon's ctdata.for */

        /* set up the rate coefficients if this is first call */
        if( !lgCTDataDefined )
        {
                if( trace.lgTrace )
                {
                        fprintf( ioQQQ,"       HCTIon doing 1-time init of charge transfer data\n");
                }
                lgCTDataDefined = true;
                MakeHCTData();
        }

        /* check that data have been linked in,
         * error here would mean that data below had not been loaded */
        ASSERT( CTIonData[2][0][0] > 0. );

        /* return zero for highly ionized species */
        if( ion >= 3 )
        {
                HCTIon_v = 0.;
                return( HCTIon_v );
        }

        /*begin sanity checks */
        /* check that ionization stage is ok for this element*/
        ASSERT( ion >= 0);
        ASSERT( ion <= nelem );

        /* now check the element is valid, this is routine HCTIon */
        ASSERT( nelem > 0 );
        ASSERT( nelem < LIMELM );

        /* may be no entry, first coefficient is zero in this case */
        if( CTIonData[nelem][ion][0] <= 0. )
        {
                HCTIon_v = 0.;

        }

        else
        {
                /* Make sure te is between temp. boundaries; set constant outside of range */
                tused = MAX2((double)phycon.te,CTIonData[nelem][ion][4]);
                tused = MIN2(tused,CTIonData[nelem][ion][5]);
                tused *= 1e-4;

                // make sure that the Boltzmann factor always uses the real temperature, even
                // outside the range of validity, so that the CT rate properly goes to zero
                // when the the gas temperature goes to zero.
                HCTIon_v = CTIonData[nelem][ion][0]*1e-9*(pow(tused,CTIonData[nelem][ion][1]))*
                  (1. + CTIonData[nelem][ion][2]*exp(CTIonData[nelem][ion][3]*tused))*
                  exp(-CTIonData[nelem][ion][6]*1.e4/phycon.te);
        }
        return( HCTIon_v );
}

/*================================================================================*
 *================================================================================*/
STATIC double HCTRecom(
        /* ion is stage of ionization on C scale, 0 for rec to atom */
        long int ion,   
        /* nelem is atomic number of element on C scale, 1 = he up to LIMELM */
        /* HCTRecom(1,5) would be C+2 + H => C+ + H+ */
        long int nelem) 
{
        double HCTRecom_v, 
          tused;

        DEBUG_ENTRY( "HCTRecom()" );
        /* 
         * H charge transfer recombination using Jim Kingdon's block ctdata.for
         */

        /* set up the rate coefficients if this is first call */
        if( !lgCTDataDefined )
        {
                if( trace.lgTrace )
                {
                        fprintf( ioQQQ,"       HCTIon doing 1-time init of charge transfer data\n");
                }
                lgCTDataDefined = true;
                MakeHCTData();
        }

        /* this is check that data have been set up properly, will
         * fail if arrays are not initialized properly */
        ASSERT( CTRecombData[1][0][0] > 0. );

        /* use Dalgarno estimate for highly ionized species, number reset with
         * set charge transfer command */
        if( ion > 3 )
        {
                /* >>chng 96 nov 25, added this option, default is 1.92e-9
                 * Dalgarno's charge transfer */
                HCTRecom_v = atmdat.HCTAlex*((double)ion+1.);
                return( HCTRecom_v );
        }

        /* check that ion stage within bound for this atom */
        ASSERT( ion >= 0 && ion <= nelem );

        /* now check the element is valid, this is routine HCTIon */
        ASSERT( nelem > 0 && nelem < LIMELM );

        tused = MAX2((double)phycon.te,CTRecombData[nelem][ion][4]);
        tused = MIN2(tused,CTRecombData[nelem][ion][5]);
        tused *= 1e-4;

        if( tused == 0. )
        {
                HCTRecom_v = 0.;
                return( HCTRecom_v );
        }

        /* the interpolation equation */
        HCTRecom_v = CTRecombData[nelem][ion][0]*1e-9*(pow(tused,CTRecombData[nelem][ion][1]))*
          (1. + CTRecombData[nelem][ion][2]*sexp(-CTRecombData[nelem][ion][3]*tused));

        /* in sexp negative sign not typo - there are negative signs already
         * in coefficient, and sexp has implicit negative sign */
        return( HCTRecom_v );
}

/*================================================================================*
 *================================================================================*/
/*block data with Jim Kingdon's charge transfer data */
/* >>refer      H       CT      Kingdon, J. B., & Ferland, G. J. 1996, ApJS, 106, 205 */
/* 
 * first dimension is atomic number of atom, 0 for H 
 * second dimension is ionization stage,
 * 1=+0 for parent, etc
 * third dimension is atomic number of atom 
 * second dimension is ionization stage,
 * 1=+1 for parent, etc
 */

/* digital form of the fits to the charge transfer
 * ionization rate coefficients 
 *
 * Note: First parameter is in units of 1e-9!
 * Note: Seventh parameter is in units of 1e4 K */

/* digital form of the fits to the charge transfer
 * recombination rate coefficients (total)
 *
 * Note: First parameter is in units of 1e-9!
 * recombination 
 */

/* holds data for charge transfer fits */
STATIC void MakeHCTData(void)
{
        long int i, 
                j,
                nelem,
          _r;

        DEBUG_ENTRY( "MakeHCTData()" );

        /* >>chng 01 apr 24, zero out this block, as per PvH comments that
         * translated block data's do not fully initialize arrays */
        /* first zero out entire arrays, since some may not have charge transfer data */
        for( nelem=0; nelem<LIMELM; ++nelem )
        {
                for( i=0; i<4; ++i )
                {
                        for( j=0; j<7; ++j )
                        {
                                CTIonData[nelem][i][j] = 0.;
                                CTRecombData[nelem][i][j] = 0.;
                        }
                        CTIonData[nelem][i][7] = 0.;
                }
        }

        /* 
         * following are coefficients for charge transfer ionization,
         * H+ + A => H + A+
         */
        /* Lithium +0 */
        { static double _itmp0[] = {2.84e-3 , 1.99 , 375.54 , -54.07 , 1e2 , 1e4 , 0.,
                -10.};

        for( i=1, _r = 0; i <= 8; i++ )
        {
                CTIonData[2][0][i-1] = _itmp0[_r++];
                }
        }

        /* C+0 ionization */
        { static double _itmp1[] = {1.07e-6 , 3.15 , 176.43 , -4.29 , 1e3 , 1e5 , 0. ,2.34};
        for( i=1, _r = 0; i <= 8; i++ )
        {
                CTIonData[5][0][i-1] = _itmp1[_r++];
                }
        }
        { static double _itmp2[] = {4.55e-3,-0.29,-0.92,-8.38,1e2,5e4,
          1.086,-0.94};
        for( i=1, _r = 0; i <= 8; i++ )
        {
                CTIonData[6][0][i-1] = _itmp2[_r++];
                }
        }
        /* oxygen */
        { static double _itmp3[] = {7.40e-2,0.47,24.37,-0.74,1e1,1e4,
          0.023,-0.02};
        for( i=1, _r = 0; i <= 8; i++ )
        {
                CTIonData[7][0][i-1] = _itmp3[_r++];
                }
        }
        { static double _itmp4[] = {3.34e-6,9.31,2632.31,-3.04,1e3,
          2e4,0.0,-1.74};
        for( i=1, _r = 0; i <= 8; i++ )
        {
                CTIonData[10][0][i-1] = _itmp4[_r++];
                }
        }
        { static double _itmp5[] = {9.76e-3,3.14,55.54,-1.12,5e3,3e4,
          0.0,1.52};
        for( i=1, _r = 0; i <= 8; i++ )
        {
                CTIonData[11][0][i-1] = _itmp5[_r++];
                }
        }
        { static double _itmp6[] = {7.60e-5,0.00,-1.97,-4.32,1e4,3e5,
          1.670,-1.44};
        for( i=1, _r = 0; i <= 8; i++ )
        {
                CTIonData[11][1][i-1] = _itmp6[_r++];
                }
        }
        { static double _itmp7[] = {0.92,1.15,0.80,-0.24,1e3,2e5,0.0,
          0.12};
        for( i=1, _r = 0; i <= 8; i++ )
        {
                CTIonData[13][0][i-1] = _itmp7[_r++];
                }
        }
        /* Si+1 ionization */
        { static double _itmp8[] = {2.26 , 7.36e-2 , -0.43 , -0.11 , 2e3 , 1e5 , 3.031
                ,-2.72};
        for( i=1, _r = 0; i <= 8; i++ )
        {
                CTIonData[13][1][i-1] = _itmp8[_r++];
                }
        }
        { static double _itmp9[] = {1.00e-5,0.00,0.00,0.00,1e3,1e4,
          0.0,-3.24};
        for( i=1, _r = 0; i <= 8; i++ )
        {
                CTIonData[15][0][i-1] = _itmp9[_r++];
                }
        }
        { static double _itmp10[] = {4.39,0.61,-0.89,-3.56,1e3,3e4,
          3.349,-2.89};
        for( i=1, _r = 0; i <= 8; i++ )
        {
                CTIonData[23][1][i-1] = _itmp10[_r++];
                }
        }
        { static double _itmp11[] = {2.83e-1,6.80e-3,6.44e-2,-9.70,
          1e3,3e4,2.368,-2.04};
        for( i=1, _r = 0; i <= 8; i++ )
        {
                CTIonData[24][1][i-1] = _itmp11[_r++];
                }
        }
        { static double _itmp12[] = {2.10,7.72e-2,-0.41,-7.31,1e4,1e5,
          3.005,-2.56};
        for( i=1, _r = 0; i <= 8; i++ )
        {
                CTIonData[25][1][i-1] = _itmp12[_r++];
                }
        }
        { static double _itmp13[] = {1.20e-2,3.49,24.41,-1.26,1e3,3e4,
          4.044,-3.49};
        for( i=1, _r = 0; i <= 8; i++ )
        {
                CTIonData[26][1][i-1] = _itmp13[_r++];
                }
        }
        /* CT recombination, A+n + H => A+n-1 + H+ */
        /* >>chng 01 may 03, first coefficient multiplied by 0.25, as per comment in
         * >>refer      Li      CT      Stancil, P. C., & Zygelman, B. 1996, ApJ, 472, 102
         * which corrected the error in 
         * >>refer      He      CT      Zygelman, B., Dalgarno, A., Kimura, M., & Lane, N. F. 1989, Phys. Rev. A, 40, 2340
         * this was used in the original Kingdon & Ferland paper so no correction required
         * >>chng 04 apr 27, He was in error above as well, factor of 4, noted in 
         * >>refer      He      CT      Stancil, P. C., Lepp, S., & Dalgarno, A. 1998, ApJ, 509, 1
         */
        { static double _itmp14[] = {/*7.47e-6*/1.87e-6,2.06,9.93,-3.89,6e3,1e5,
          10.99};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[1][0][i-1] = _itmp14[_r++];
                }
        }
        { static double _itmp15[] = {1.00e-5,0.,0.,0.,1e3,1e7,-40.81};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[1][1][i-1] = _itmp15[_r++];
                }
        }
        for( i=1; i <= 7; i++ )
        {
                CTRecombData[2][0][i-1] = 0.f;
                }
        { static double _itmp16[] = {1.26,0.96,3.02,-0.65,1e3,3e4,3.02};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[2][1][i-1] = _itmp16[_r++];
                }
        }
        { static double _itmp17[] = {1.00e-5,0.,0.,0.,2e3,5e4,-108.83};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[2][2][i-1] = _itmp17[_r++];
                }
        }
        for( i=1; i <= 7; i++ )
        {
                CTRecombData[3][0][i-1] = 0.f;
                }
        { static double _itmp18[] = {1.00e-5,0.,0.,0.,2e3,5e4,-4.61};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[3][1][i-1] = _itmp18[_r++];
                }
        }
        { static double _itmp19[] = {1.00e-5,0.,0.,0.,2e3,5e4,-140.26};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[3][2][i-1] = _itmp19[_r++];
                }
        }
        { static double _itmp20[] = {5.17,0.82,-0.69,-1.12,2e3,5e4,
          10.59};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[3][3][i-1] = _itmp20[_r++];
                }
        }
        for( i=1; i <= 7; i++ )
        {
                CTRecombData[4][0][i-1] = 0.f;
                }
        { static double _itmp21[] = {2.00e-2,0.,0.,0.,1e3,1e9,2.46};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[4][1][i-1] = _itmp21[_r++];
                }
        }
        { static double _itmp22[] = {1.00e-5,0.,0.,0.,2e3,5e4,-24.33};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[4][2][i-1] = _itmp22[_r++];
                }
        }
        /* B+4 recombinatino */
        { static double _itmp23[] = {2.74 , 0.93 , -0.61 , -1.13 , 2e3 , 5e4 ,
          11.};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[4][3][i-1] = _itmp23[_r++];
                }
        }
        /* C+1 recombinatino */
        { static double _itmp24[] = {4.88e-7 , 3.25 , -1.12 , -0.21 , 5.5e3 , 1e5 ,
                -2.34};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[5][0][i-1] = _itmp24[_r++];
                }
        }
        { static double _itmp25[] = {1.67e-4,2.79,304.72,-4.07,5e3,
          5e4,4.01};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[5][1][i-1] = _itmp25[_r++];
                }
        }
        { static double _itmp26[] = {3.25,0.21,0.19,-3.29,1e3,1e5,5.73};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[5][2][i-1] = _itmp26[_r++];
                }
        }
        { static double _itmp27[] = {332.46,-0.11,-9.95e-1,-1.58e-3,
          1e1,1e5,11.30};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[5][3][i-1] = _itmp27[_r++];
                }
        }
        { static double _itmp28[] = {1.01e-3,-0.29,-0.92,-8.38,1e2,
          5e4,0.94};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[6][0][i-1] = _itmp28[_r++];
                }
        }
        { static double _itmp29[] = {3.05e-1,0.60,2.65,-0.93,1e3,1e5,
          4.56};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[6][1][i-1] = _itmp29[_r++];
                }
        }
        { static double _itmp30[] = {4.54,0.57,-0.65,-0.89,1e1,1e5,
          6.40};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[6][2][i-1] = _itmp30[_r++];
                }
        }
        /* N+4 recombination */
        { static double _itmp31[] = { 2.95 , 0.55 , -0.39 , -1.07 , 1e3 , 1e6 ,
          11.};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[6][3][i-1] = _itmp31[_r++];
                }
        }
        { static double _itmp32[] = {1.04,3.15e-2,-0.61,-9.73,1e1,1e4,
          0.02};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[7][0][i-1] = _itmp32[_r++];
                }
        }
        { static double _itmp33[] = {1.04,0.27,2.02,-5.92,1e2,1e5,6.65};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[7][1][i-1] = _itmp33[_r++];
                }
        }
        { static double _itmp34[] = {3.98,0.26,0.56,-2.62,1e3,5e4,5.};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[7][2][i-1] = _itmp34[_r++];
                }
        }
        { static double _itmp35[] = {2.52e-1,0.63,2.08,-4.16,1e3,3e4,
          8.47};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[7][3][i-1] = _itmp35[_r++];
                }
        }
        for( i=1; i <= 7; i++ )
        {
                CTRecombData[8][0][i-1] = 0.f;
                }
        { static double _itmp36[] = {1.00e-5,0.,0.,0.,2e3,5e4,-21.37};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[8][1][i-1] = _itmp36[_r++];
                }
        }
        { static double _itmp37[] = {9.86,0.29,-0.21,-1.15,2e3,5e4,
          5.6};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[8][2][i-1] = _itmp37[_r++];
                }
        }
        { static double _itmp38[] = {7.15e-1,1.21,-0.70,-0.85,2e3,5e4,
          11.8};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[8][3][i-1] = _itmp38[_r++];
                }
        }
        for( i=1; i <= 7; i++ )
        {
                CTRecombData[9][0][i-1] = 0.f;
                }
        { static double _itmp39[] = {1.00e-5,0.,0.,0.,5e3,5e4,-27.36};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[9][1][i-1] = _itmp39[_r++];
                }
        }
        { static double _itmp40[] = {14.73,4.52e-2,-0.84,-0.31,5e3,
          5e4,5.82};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[9][2][i-1] = _itmp40[_r++];
                }
        }
        { static double _itmp41[] = {6.47,0.54,3.59,-5.22,1e3,3e4,8.60};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[9][3][i-1] = _itmp41[_r++];
                }
        }
        for( i=1; i <= 7; i++ )
        {
                CTRecombData[10][0][i-1] = 0.f;
                }
        { static double _itmp42[] = {1.00e-5,0.,0.,0.,2e3,5e4,-33.68};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[10][1][i-1] = _itmp42[_r++];
                }
        }
        { static double _itmp43[] = {1.33,1.15,1.20,-0.32,2e3,5e4,6.25};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[10][2][i-1] = _itmp43[_r++];
                }
        }
        { static double _itmp44[] = {1.01e-1,1.34,10.05,-6.41,2e3,5e4,
          11.};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[10][3][i-1] = _itmp44[_r++];
                }
        }
        for( i=1; i <= 7; i++ )
        {
                CTRecombData[11][0][i-1] = 0.f;
                }
        { static double _itmp45[] = {8.58e-5,2.49e-3,2.93e-2,-4.33,
          1e3,3e4,1.44};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[11][1][i-1] = _itmp45[_r++];
                }
        }
        { static double _itmp46[] = {6.49,0.53,2.82,-7.63,1e3,3e4,5.73};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[11][2][i-1] = _itmp46[_r++];
                }
        }
        { static double _itmp47[] = {6.36,0.55,3.86,-5.19,1e3,3e4,8.60};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[11][3][i-1] = _itmp47[_r++];
                }
        }
        for( i=1; i <= 7; i++ )
        {
                CTRecombData[12][0][i-1] = 0.f;
                }
        { static double _itmp48[] = {1.00e-5,0.,0.,0.,1e3,3e4,-5.23};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[12][1][i-1] = _itmp48[_r++];
                }
        }
        { static double _itmp49[] = {7.11e-5,4.12,1.72e4,-22.24,1e3,
          3e4,8.17};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[12][2][i-1] = _itmp49[_r++];
                }
        }
        { static double _itmp50[] = {7.52e-1,0.77,6.24,-5.67,1e3,3e4,
          8.};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[12][3][i-1] = _itmp50[_r++];
                }
        }
        for( i=1; i <= 7; i++ )
        {
                CTRecombData[13][0][i-1] = 0.f;
                }
        /* Si+2 recombination */
        { static double _itmp51[] = {6.77 , 7.36e-2 , -0.43 , -0.11 , 5e2 , 1e5 ,
          2.72};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[13][1][i-1] = _itmp51[_r++];
                }
        }
        { static double _itmp52[] = {4.90e-1,-8.74e-2,-0.36,-0.79,1e3,
          3e4,4.23};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[13][2][i-1] = _itmp52[_r++];
                }
        }
        { static double _itmp53[] = {7.58,0.37,1.06,-4.09,1e3,5e4,7.49};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[13][3][i-1] = _itmp53[_r++];
                }
        }
        for( i=1; i <= 7; i++ )
        {
                CTRecombData[14][0][i-1] = 0.f;
                }
        { static double _itmp54[] = {1.74e-4,3.84,36.06,-0.97,1e3,3e4,
          3.45};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[14][1][i-1] = _itmp54[_r++];
                }
        }
        { static double _itmp55[] = {9.46e-2,-5.58e-2,0.77,-6.43,1e3,
          3e4,7.29};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[14][2][i-1] = _itmp55[_r++];
                }
        }
        { static double _itmp56[] = {5.37,0.47,2.21,-8.52,1e3,3e4,9.71};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[14][3][i-1] = _itmp56[_r++];
                }
        }
        { static double _itmp57[] = {3.82e-7,11.10,2.57e4,-8.22,1e3,
          1e4,-3.24};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[15][0][i-1] = _itmp57[_r++];
                }
        }
        { static double _itmp58[] = {1.00e-5,0.,0.,0.,1e3,3e4,-9.73};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[15][1][i-1] = _itmp58[_r++];
                }
        }
        { static double _itmp59[] = {2.29,4.02e-2,1.59,-6.06,1e3,3e4,
          5.73};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[15][2][i-1] = _itmp59[_r++];
                }
        }
        { static double _itmp60[] = {6.44,0.13,2.69,-5.69,1e3,3e4,8.60};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[15][3][i-1] = _itmp60[_r++];
                }
        }
        for( i=1; i <= 7; i++ )
        {
                CTRecombData[16][0][i-1] = 0.f;
                }
        { static double _itmp61[] = {1.00e-5,0.,0.,0.,1e3,3e4,-10.21};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[16][1][i-1] = _itmp61[_r++];
                }
        }
        { static double _itmp62[] = {1.88,0.32,1.77,-5.70,1e3,3e4,8.};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[16][2][i-1] = _itmp62[_r++];
                }
        }
        { static double _itmp63[] = {7.27,0.29,1.04,-10.14,1e3,3e4,
          9.};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[16][3][i-1] = _itmp63[_r++];
                }
        }
        for( i=1; i <= 7; i++ )
        {
                CTRecombData[17][0][i-1] = 0.f;
                }
        { static double _itmp64[] = {1.00e-5,0.,0.,0.,1e3,3e4,-14.03};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[17][1][i-1] = _itmp64[_r++];
                }
        }
        { static double _itmp65[] = {4.57,0.27,-0.18,-1.57,1e3,3e4,
          5.73};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[17][2][i-1] = _itmp65[_r++];
                }
        }
        { static double _itmp66[] = {6.37,0.85,10.21,-6.22,1e3,3e4,
          8.60};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[17][3][i-1] = _itmp66[_r++];
                }
        }
        for( i=1; i <= 7; i++ )
        {
                CTRecombData[18][0][i-1] = 0.f;
                }
        { static double _itmp67[] = {1.00e-5,0.,0.,0.,1e3,3e4,-18.02};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[18][1][i-1] = _itmp67[_r++];
                }
        }
        { static double _itmp68[] = {4.76,0.44,-0.56,-0.88,1e3,3e4,
          6.};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[18][2][i-1] = _itmp68[_r++];
                }
        }
        { static double _itmp69[] = {1.00e-5,0.,0.,0.,1e3,3e4,-47.3};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[18][3][i-1] = _itmp69[_r++];
                }
        }
        for( i=1; i <= 7; i++ )
        {
                CTRecombData[19][0][i-1] = 0.f;
                }
        { static double _itmp70[] = {0.,0.,0.,0.,1e1,1e9,0.};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[19][1][i-1] = _itmp70[_r++];
                }
        }
        { static double _itmp71[] = {3.17e-2,2.12,12.06,-0.40,1e3,3e4,
          6.6};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[19][2][i-1] = _itmp71[_r++];
                }
        }
        { static double _itmp72[] = {2.68,0.69,-0.68,-4.47,1e3,3e4,
          9.9};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[19][3][i-1] = _itmp72[_r++];
                }
        }
        for( i=1; i <= 7; i++ )
        {
                CTRecombData[20][0][i-1] = 0.f;
                }
        { static double _itmp73[] = {0.,0.,0.,0.,1e1,1e9,0.};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[20][1][i-1] = _itmp73[_r++];
                }
        }
        { static double _itmp74[] = {7.22e-3,2.34,411.50,-13.24,1e3,
          3e4,3.5};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[20][2][i-1] = _itmp74[_r++];
                }
        }
        { static double _itmp75[] = {1.20e-1,1.48,4.00,-9.33,1e3,3e4,
          10.61};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[20][3][i-1] = _itmp75[_r++];
                }
        }
        for( i=1; i <= 7; i++ )
        {
                CTRecombData[21][0][i-1] = 0.f;
                }
        { static double _itmp76[] = {0.,0.,0.,0.,1e1,1e9,0.};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[21][1][i-1] = _itmp76[_r++];
                }
        }
        { static double _itmp77[] = {6.34e-1,6.87e-3,0.18,-8.04,1e3,
          3e4,4.3};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[21][2][i-1] = _itmp77[_r++];
                }
        }
        { static double _itmp78[] = {4.37e-3,1.25,40.02,-8.05,1e3,3e4,
          5.3};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[21][3][i-1] = _itmp78[_r++];
                }
        }
        for( i=1; i <= 7; i++ )
        {
                CTRecombData[22][0][i-1] = 0.f;
                }
        { static double _itmp79[] = {1.00e-5,0.,0.,0.,1e3,3e4,-1.05};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[22][1][i-1] = _itmp79[_r++];
                }
        }
        { static double _itmp80[] = {5.12,-2.18e-2,-0.24,-0.83,1e3,
          3e4,4.7};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[22][2][i-1] = _itmp80[_r++];
                }
        }
        { static double _itmp81[] = {1.96e-1,-8.53e-3,0.28,-6.46,1e3,
          3e4,6.2};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[22][3][i-1] = _itmp81[_r++];
                }
        }
        for( i=1; i <= 7; i++ )
        {
                CTRecombData[23][0][i-1] = 0.f;
                }
        { static double _itmp82[] = {5.27e-1,0.61,-0.89,-3.56,1e3,3e4,
          2.89};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[23][1][i-1] = _itmp82[_r++];
                }
        }
        { static double _itmp83[] = {10.90,0.24,0.26,-11.94,1e3,3e4,
          5.4};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[23][2][i-1] = _itmp83[_r++];
                }
        }
        { static double _itmp84[] = {1.18,0.20,0.77,-7.09,1e3,3e4,6.6};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[23][3][i-1] = _itmp84[_r++];
                }
        }
        for( i=1; i <= 7; i++ )
        {
                CTRecombData[24][0][i-1] = 0.f;
                }
        { static double _itmp85[] = {1.65e-1,6.80e-3,6.44e-2,-9.70,
          1e3,3e4,2.04};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[24][1][i-1] = _itmp85[_r++];
                }
        }
        { static double _itmp86[] = {14.20,0.34,-0.41,-1.19,1e3,3e4,
          6.};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[24][2][i-1] = _itmp86[_r++];
                }
        }
        { static double _itmp87[] = {4.43e-1,0.91,10.76,-7.49,1e3,3e4,
          7.};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[24][3][i-1] = _itmp87[_r++];
                }
        }
        for( i=1; i <= 7; i++ )
        {
                CTRecombData[25][0][i-1] = 0.f;
                }
        { static double _itmp88[] = {1.26,7.72e-2,-0.41,-7.31,1e3,1e5,
          2.56};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[25][1][i-1] = _itmp88[_r++];
                }
        }
        { static double _itmp89[] = {3.42,0.51,-2.06,-8.99,1e3,1e5,
          6.3};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[25][2][i-1] = _itmp89[_r++];
                }
        }
        { static double _itmp90[] = {14.60,3.57e-2,-0.92,-0.37,1e3,
          3e4,10.};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[25][3][i-1] = _itmp90[_r++];
                }
        }
        for( i=1; i <= 7; i++ )
        {
                CTRecombData[26][0][i-1] = 0.f;
                }
        { static double _itmp91[] = {5.30,0.24,-0.91,-0.47,1e3,3e4,
          2.9};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[26][1][i-1] = _itmp91[_r++];
                }
        }
        { static double _itmp92[] = {3.26,0.87,2.85,-9.23,1e3,3e4,6.};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[26][2][i-1] = _itmp92[_r++];
                }
        }
        { static double _itmp93[] = {1.03,0.58,-0.89,-0.66,1e3,3e4,
          10.51};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[26][3][i-1] = _itmp93[_r++];
                }
        }
        for( i=1; i <= 7; i++ )
        {
                CTRecombData[27][0][i-1] = 0.f;
                }
        { static double _itmp94[] = {1.05,1.28,6.54,-1.81,1e3,1e5,3.0};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[27][1][i-1] = _itmp94[_r++];
                }
        }
        { static double _itmp95[] = {9.73,0.35,0.90,-5.33,1e3,3e4,5.2};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[27][2][i-1] = _itmp95[_r++];
                }
        }
        { static double _itmp96[] = {6.14,0.25,-0.91,-0.42,1e3,3e4,
          10.};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[27][3][i-1] = _itmp96[_r++];
                }
        }
        for( i=1; i <= 7; i++ )
        {
                CTRecombData[28][0][i-1] = 0.f;
                }
        { static double _itmp97[] = {1.47e-3,3.51,23.91,-0.93,1e3,3e4,
          3.44};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[28][1][i-1] = _itmp97[_r++];
                }
        }
        { static double _itmp98[] = {9.26,0.37,0.40,-10.73,1e3,3e4,
          5.6};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[28][2][i-1] = _itmp98[_r++];
                }
        }
        { static double _itmp99[] = {11.59,0.20,0.80,-6.62,1e3,3e4,
          9.};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[28][3][i-1] = _itmp99[_r++];
                }
        }
        for( i=1; i <= 7; i++ )
        {
                CTRecombData[29][0][i-1] = 0.f;
                }
        { static double _itmp100[] = {1.00e-5,0.,0.,0.,1e3,3e4,-4.37};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[29][1][i-1] = _itmp100[_r++];
                }
        }
        { static double _itmp101[] = {6.96e-4,4.24,26.06,-1.24,1e3,
          3e4,7.8};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[29][2][i-1] = _itmp101[_r++];
                }
        }
        { static double _itmp102[] = {1.33e-2,1.56,-0.92,-1.20,1e3,
          3e4,11.73};
        for( i=1, _r = 0; i <= 7; i++ )
        {
                CTRecombData[29][3][i-1] = _itmp102[_r++];
        }
        }
}

/* ChargTranPun, save charge transfer coefficient */
void ChargTranPun( FILE* ipPnunit , char* chSave )
{
        long int j, jj;
        /* restore temp when done with this routine     */
        double TempSave = phycon.te;

        DEBUG_ENTRY( "ChargTranPun()" );

        /* this is the usual charge transfer option */
        if( strcmp( chSave,"CHAR") == 0 )
        {
                /* charge exchange rate coefficients, entered with
                 * save charge transfer command.  Queries Jim Kingdon's
                 * CT fits and routines to get H - He and higher CT rates
                 * rates are evaluated at the current temperature, which can
                 * be specified with the constant temperature command */
                /* first group is charge transfer recombination,
                 * the process A+x + H => A+x-1 + H+ */
                fprintf( ipPnunit, "#element\tion\n");
                for( j=1; j < LIMELM; j++ )
                {
                        /* first number is atomic number, so add 1 to get onto physical scale */
                        /* >>chng 00 may 09, caught by Jon Slavin */
                        fprintf( ipPnunit, "%s\t", elementnames.chElementSym[j] );
                        /*fprintf( ipPnunit, "%3ld\t", j+1 );*/

                        for( jj=0; jj < j; jj++ )
                        {
                                fprintf( ipPnunit, "%.2e\t", 
                                  HCTRecom(jj,j) );
                        }
                        fprintf( ipPnunit, "\n" );
                }

                /* second group is charge transfer ionization,
                 * the process A+x + H+ => A+x+1 + H */
                fprintf( ipPnunit, "\n#ionization rates, atomic number\n");
                for( j=1; j < LIMELM; j++ )
                {
                        fprintf( ipPnunit, "%s\t", elementnames.chElementSym[j] );
                        for( jj=0; jj < j; jj++ )
                        {
                                fprintf( ipPnunit, "%.2e\t", 
                                  HCTIon(jj,j) );
                        }
                        fprintf( ipPnunit, "\n" );
                }
        }

        /* this is the charge transfer to produce output for AGN3,
         * invoked with the save charge transfer AGN command */
        else if( strcmp( chSave,"CHAG") == 0 )
        {
                /* this is boundary between two tables */
                double BreakEnergy = 100./13.0;
                realnum teinit = 5000.;
                realnum tefinal = 20000.;
                realnum te1;
                long int nelem, ion;

                te1 = teinit;
                fprintf(ipPnunit,"H ioniz\n X+i\\Te");
                while( te1 <= tefinal )
                {
                        fprintf(ipPnunit,"\t%.0f K",te1);
                        te1 *= 2.;
                }
                fprintf(ipPnunit,"\n");

                /* make sure rates already evaluated at least one time */
                ChargTranEval();

                /* loop over all elements, H charge transfer ionization */
                for( nelem=ipHELIUM; nelem<LIMELM; ++nelem )
                {
                        /* this list of elements included in the AGN tables is defined in zeroabun.c */
                        if( abund.lgAGN[nelem] )
                        {
                                ion_trim_untrim(nelem);

                                for( ion=0; ion<=nelem; ++ion )
                                {
                                        /* skip high ionization CT */
                                        if( Heavy.Valence_IP_Ryd[nelem][ion] > BreakEnergy )
                                                break;
                                        /* most of these are actually zero */
                                        if( atmdat.CharExcIonOf[ipHYDROGEN][nelem][ion] == 0 )
                                                continue;

                                        /* print chemical symbol */
                                        fprintf(ipPnunit,"%s", 
                                                elementnames.chElementSym[nelem]);
                                        /* now ionization stage */
                                        if( ion==0 )
                                        {
                                                fprintf(ipPnunit,"0 ");
                                        }
                                        else if( ion==1 )
                                        {
                                                fprintf(ipPnunit,"+ ");
                                        }
                                        else
                                        {
                                                fprintf(ipPnunit,"+%li",ion);
                                        }

                                        /* fully define the new temperature */
                                        TempChange(teinit , false);

                                        while( phycon.te <= tefinal )
                                        {
                                                ASSERT (dense.IonLow[nelem] == 0 &&     dense.IonHigh[nelem] == nelem+1);
                                                ChargTranEval();

                                                fprintf(ipPnunit,"\t%.2e",atmdat.CharExcIonOf[ipHYDROGEN][nelem][ion]);
                                                TempChange(phycon.te *2.f , false);
                                        }
                                        fprintf(ipPnunit,"\n");
                                }
                                fprintf(ipPnunit,"\n");
                        }
                }

                te1 = teinit;
                fprintf(ipPnunit,"H recom\n X+i\\Te");
                while( te1 <= tefinal )
                {
                        fprintf(ipPnunit,"\t%.0f K",te1);
                        te1 *= 2.;
                }
                fprintf(ipPnunit,"\n");

                /* loop over all elements, H charge transfer recombination */
                for( nelem=ipHELIUM; nelem<LIMELM; ++nelem )
                {
                        /* this list of elements included in the AGN tables is defined in zeroabun.c */
                        if( abund.lgAGN[nelem] )
                        {
                                ion_trim_untrim(nelem);
                                for( ion=0; ion<=nelem; ++ion )
                                {
                                        /* skip high ionization CT */
                                        if( Heavy.Valence_IP_Ryd[nelem][ion] > BreakEnergy )
                                                break;
                                        /* most of these are actually zero */
                                        if( atmdat.CharExcRecTo[ipHYDROGEN][nelem][ion] == 0 )
                                                continue;

                                        /* print chemical symbol */
                                        fprintf(ipPnunit,"%s", 
                                                elementnames.chElementSym[nelem]);
                                        /* now ionization stage */
                                        if( ion==0 )
                                        {
                                                fprintf(ipPnunit,"0 ");
                                        }
                                        else if( ion==1 )
                                        {
                                                fprintf(ipPnunit,"+ ");
                                        }
                                        else
                                        {
                                                fprintf(ipPnunit,"+%li",ion);
                                        }

                                        /* fully define the new temperature */
                                        TempChange(teinit , false);
                                        while( phycon.te <= tefinal )
                                        {
                                                ASSERT (dense.IonLow[nelem] == 0 &&     dense.IonHigh[nelem] == nelem+1);
                                                ChargTranEval();

                                                fprintf(ipPnunit,"\t%.2e",atmdat.CharExcRecTo[ipHYDROGEN][nelem][ion]);
                                                TempChange(phycon.te *2.f , false);
                                        }
                                        fprintf(ipPnunit,"\n");
                                }
                                fprintf(ipPnunit,"\n");
                        }
                }

#               if 0
                te1 = teinit;
                fprintf(ipPnunit,"He recom\n Elem\\Te");
                while( te1 <= tefinal )
                {
                        fprintf(ipPnunit,"\t%.0f",te1);
                        te1 *= 2.;
                }
                fprintf(ipPnunit,"\n");

                /* loop over all elements, H charge transfer recombination */
                for( nelem=ipHELIUM; nelem<LIMELM; ++nelem )
                {
                        /* this list of elements included in the AGN tables is defined in zeroabun.c */
                        if( abund.lgAGN[nelem] )
                        {
                                ion_trim_untrim(nelem);
                                for( ion=0; ion<=nelem; ++ion )
                                {
                                        /* most of these are actually zero */
                                        if( atmdat.CharExcRecTo[ipHELIUM][nelem][ion] == 0 )
                                                continue;
                                        fprintf(ipPnunit,"%.2s%.2s", 
                                                elementnames.chElementSym[nelem],
                                                elementnames.chIonStage[ion]);

                                        /* fully define the new temperature */
                                        TempChange(teinit , false);
                                        while( phycon.te <= tefinal )
                                        {
                                                ASSERT (dense.IonLow[nelem] == 0 &&     dense.IonHigh[nelem] == nelem+1);
                                                ChargTranEval();

                                                fprintf(ipPnunit,"\t%.2e",atmdat.CharExcRecTo[ipHELIUM][nelem][ion]);
                                                TempChange(phycon.te *2.f , false);
                                        }
                                        fprintf(ipPnunit,"\n");
                                }
                                fprintf(ipPnunit,"\n");
                        }
                }


                te1 = teinit;
                fprintf(ipPnunit,"He ioniz\n Elem\\Te");
                while( te1 <= tefinal )
                {
                        fprintf(ipPnunit,"\t%.0f",te1);
                        te1 *= 2.;
                }
                fprintf(ipPnunit,"\n");

                /* loop over all elements, H charge transfer recombination */
                for( nelem=ipHELIUM; nelem<LIMELM; ++nelem )
                {
                        /* this list of elements included in the AGN tables is defined in zeroabun.c */
                        if( abund.lgAGN[nelem] )
                        {
                                ion_trim_untrim(nelem);
                                for( ion=0; ion<=nelem; ++ion )
                                {
                                        /* most of these are actually zero */
                                        if( atmdat.CharExcIonOf[ipHELIUM][nelem][ion] == 0 )
                                                continue;
                                        fprintf(ipPnunit,"%.2s%.2s", 
                                                elementnames.chElementSym[nelem],
                                                elementnames.chIonStage[ion]);

                                        /* fully define the new temperature */
                                        TempChange(teinit , false);
                                        while( phycon.te <= tefinal )
                                        {
                                                ASSERT (dense.IonLow[nelem] == 0 &&     dense.IonHigh[nelem] == nelem+1);
                                                ChargTranEval();

                                                fprintf(ipPnunit,"\t%.2e",atmdat.CharExcIonOf[ipHELIUM][nelem][ion]);
                                                TempChange(phycon.te*2.f , true);
                                        }
                                        fprintf(ipPnunit,"\n");
                                }
                                fprintf(ipPnunit,"\n");
                        }
                }
#               endif
        }
        else
        {
                fprintf( ioQQQ, " save charge keyword insane\n" );
                cdEXIT(EXIT_FAILURE);
        }

        TempChange(TempSave , false);
        return;
}