cool_iron.cpp

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/* This file is part of Cloudy and is copyright (C)1978-2013 by Gary J. Ferland and
 * others.  For conditions of distribution and use see copyright notice in license.txt */
/*CoolIron compute iron cooling */
/*Fe3Lev14 compute populations and cooling due to 14 level Fe III ion */
/*Fe4Lev12 compute populations and cooling due to 12 level Fe IV ion */
/*Fe2_cooling compute cooling due to FeII emission */
/*Fe3_cs return collision strengths for low level Fe3 lines */
/*Fe4_cs return collision strengths for low level Fe4 lines */
/*Fe5_cs return collision strengths for low level Fe5 lines */
#include "cddefines.h"
#include "physconst.h"
#include "dense.h"
#include "coolheavy.h"
#include "taulines.h"
#include "phycon.h"
#include "iso.h"
#include "conv.h"
#include "cooling.h"
#include "trace.h"
#include "hydrogenic.h"
#include "ligbar.h"
#include "cooling.h"
#include "thermal.h"
#include "lines_service.h"
#include "atoms.h"
#include "atomfeii.h"
#include "fe.h"
 
/*Fe3Lev14 compute populations and cooling due to 14 level Fe III ion */
STATIC void Fe3Lev14(void);
 
/*Fe4Lev12 compute populations and cooling due to 12 level Fe IV ion */
STATIC void Fe4Lev12(void);
 
/*Fe2_cooling compute cooling due to FeII emission */
STATIC void Fe2_cooling( void )
{
        const int NLFE2 = 6;
        long int i, j;
        int nNegPop;
 
        static double **AulPump,
                **CollRate,
                **AulEscp,
                **col_str ,
                **AulDest, 
                *depart,
                *pops,
                *destroy,
                *create;
 
        static bool lgFirst=true;
        bool lgZeroPop;
 
        /* stat weights for Fred's 6 level model FeII atom */
        static double gFe2[NLFE2]={1.,1.,1.,1.,1.,1.};
        /* excitation energies (Kelvin) for Fred's 6 level model FeII atom */
        static double ex[NLFE2]={0.,3.32e4,5.68e4,6.95e4,1.15e5,1.31e5};
 
        /* these are used to only evaluated FeII one time per temperature, zone, 
         * and abundance */
        static double TUsed = 0.; 
        static double AbunUsed = 0.;
        /* remember which zone last evaluated with */
        static long int nZUsed=-1,
                /* make sure at least two calls per zone */
                nCall=0;
 
        DEBUG_ENTRY( "Fe2_cooling()" );
 
        /* return if nothing to do */
        if( dense.xIonDense[ipIRON][1] == 0. )
        {
                /* zero abundance, do nothing */
                /* heating cooling and derivative from large atom */
                FeII.Fe2_large_cool = 0.;
                FeII.Fe2_large_heat = 0.;
                FeII.ddT_Fe2_large_cool = 0.;
 
                /* cooling and derivative from simple UV atom */
                FeII.Fe2_UVsimp_cool = 0.;
                FeII.ddT_Fe2_UVsimp_cool = 0.;
 
                /* now zero out intensities of all FeII lines and level populations */
                FeIIIntenZero();
                return;
        }
 
        /* evaluate FeII model atom, by default only the lowest 16 levels
         * but number of levels can be increased with atom feii command */
 
        /* totally reevaluate FeII atom if new zone, or cooling is significant
         * and temperature changed, we are in search phase,
         * lgSlow option set true with atom FeII slow, forces constant
         * evaluation of atom */
        if( FeII.lgSlow || 
                conv.lgFirstSweepThisZone || conv.lgLastSweepThisZone ||
            /* check whether things have changed on later calls */
            ( !fp_equal( phycon.te, TUsed ) && fabs(FeII.Fe2_large_cool/thermal.ctot) > 0.002 &&  
              fabs(dense.xIonDense[ipIRON][1]-AbunUsed)/SDIV(AbunUsed) > 0.002 ) ||
            ( !fp_equal( phycon.te, TUsed ) && fabs(FeII.Fe2_large_cool/thermal.ctot) > 0.01) )
        {
 
                if( conv.lgFirstSweepThisZone )
                        /* first call this zone set nCall to zero*/
                        nCall = 0;
                else
                        /* not first call, increment, check above to make sure at least
                         * two evaluations */
                        ++nCall;
 
                /* option to trace convergence and FeII calls */
                if( trace.nTrConvg >= 5 )
                {
                        fprintf( ioQQQ, "        CoolIron5 calling FeIILevelPops since ");
                        if( conv.lgFirstSweepThisZone )
                        {
                                fprintf( ioQQQ, 
                                        "first sweep this zone." );
                        }
                        else if( ! fp_equal( phycon.te, TUsed ) )
                        {
                                fprintf( ioQQQ, 
                                        "temperature changed, old new are %g %g, nCall %li ", 
                                        TUsed, phycon.te , nCall);
                        }
                        else if( nzone != nZUsed )
                        {
                                fprintf( ioQQQ, 
                                        "new zone, nCall %li ", nCall );
                        }
                        else if( FeII.lgSlow )
                        {
                                fprintf( ioQQQ, 
                                        "FeII.lgSlow set  %li", nCall );
                        }
                        else if( conv.lgSearch )
                        {
                                fprintf( ioQQQ, 
                                        " in search phase  %li", nCall );
                        }
                        else if( nCall < 2 )
                        {
                                fprintf( ioQQQ, 
                                        "not second nCall %li " , nCall );
                        }
                        else if( ! fp_equal( phycon.te, TUsed ) && FeII.Fe2_large_cool/thermal.ctot > 0.001 )
                        {
                                fprintf( ioQQQ, 
                                        "temp or cooling changed, new are %g %g nCall %li ", 
                                        phycon.te, FeII.Fe2_large_cool, nCall );
                        }
                        else
                        {
                                fprintf(ioQQQ, "????");
                        }
                        fprintf(ioQQQ, "\n");
                }
 
                /* remember parameters for current conditions */
                TUsed = phycon.te;
                AbunUsed = dense.xIonDense[ipIRON][1];
                nZUsed = nzone;
 
                /* this print turned on with atom FeII print command */
                if( FeII.lgPrint )
                {
                        fprintf(ioQQQ,
                                " FeIILevelPops called zone %4li te %5f abun %10e c(fe/tot):%6f nCall %li\n", 
                                nzone,phycon.te,AbunUsed,FeII.Fe2_large_cool/thermal.ctot,nCall);
                }
 
                /* this solves the multi-level problem, 
                 * sets FeII.Fe2_large_cool, 
                                FeII.Fe2_large_heat, & 
                                FeII.ddT_Fe2_large_cool 
                                but does nothing with them */
 
                // line RT update, followed by level population solver
                FeII_RT_Make();
                FeIILevelPops();
                {
                        enum{DEBUG_LOC=false};
                        if( DEBUG_LOC && iteration > 1 && nzone >=4 )
                        {
                                fprintf(ioQQQ,"DEBUG1\t%li\t%.3e\t%.3e\t%.3e\t%.3e\t%.3e\t%.3e\t%.3e\n", 
                                        nzone,
                                        phycon.te,
                                        dense.gas_phase[ipHYDROGEN],
                                        dense.eden,
                                        FeII.Fe2_large_cool , 
                                        FeII.ddT_Fe2_large_cool ,
                                        FeII.Fe2_large_cool/dense.eden/dense.gas_phase[ipHYDROGEN] , 
                                        thermal.ctot );
                        }
                }
 
                if( trace.nTrConvg >= 5 || FeII.lgPrint)
                {
                        /* spacing needed to get proper trace convergence output */
                        fprintf( ioQQQ, "           FeIILevelPops5 returned cool=%.2e heat=%.2e derivative=%.2e\n",
                                        FeII.Fe2_large_cool,FeII.Fe2_large_heat ,FeII.ddT_Fe2_large_cool);
                }
 
        }
        else if( ! fp_equal( dense.xIonDense[ipIRON][1], AbunUsed ) )
        {
                realnum ratio;
                /* this branch, same zone and temperature, but small change in abundance, so just
                 * rescale cooling and derivative by this change.  assumption is that very small changes
                 * in abundance occurs as ots rates damp out */
                if( trace.nTrConvg >= 5 )
                {
                        fprintf( ioQQQ, 
                                "       CoolIron rescaling FeIILevelPops since small change, CFe2=%.2e CTOT=%.2e\n",
                                FeII.Fe2_large_cool,thermal.ctot);
                }
                ratio = dense.xIonDense[ipIRON][1]/AbunUsed;
                FeII.Fe2_large_cool *= ratio;
                FeII.ddT_Fe2_large_cool *= ratio;
                FeII.Fe2_large_heat *= ratio;
                AbunUsed = dense.xIonDense[ipIRON][1];
        }
        else
        {
                /* this is case where temp is unchanged, so heating and cooling same too */
                if( trace.nTrConvg >= 5 )
                {
                        fprintf( ioQQQ, "       CoolIron NOT calling FeIILevelPops\n");
                }
        }
 
        /* now update total cooling and its derivative 
         * all paths flow through here */
        /* FeII.Fecool = FeII.Fe2_large_cool; */
        CoolAdd("Fe 2",0,MAX2(0.,FeII.Fe2_large_cool));
 
        /* add negative cooling to heating stack */
        thermal.heating[25][27] = MAX2(0.,FeII.Fe2_large_heat);
 
        /* counts as heating derivative if negative cooling */
        if( FeII.Fe2_large_cool > 0. )
        {
                /* >>chng 01 mar 16, add factor of 3 due to conv problems after changing damper */
                thermal.dCooldT += 3.*FeII.ddT_Fe2_large_cool;
        }
 
        if( trace.lgTrace && trace.lgCoolTr )
        {
                fprintf( ioQQQ, " Large FeII returns te, cooling, dc=%11.3e%11.3e%11.3e\n", 
                  phycon.te, FeII.Fe2_large_cool, FeII.ddT_Fe2_large_cool );
        }
 
        /* >>chng 05 nov 29, still do simple UV atom if only ground term is done */
        if( !FeII.lgFeIILargeOn )
        {
 
                /* following treatment of Fe II follows
                 * >>refer      fe2     model   Wills, B.J., Wills, D., Netzer, H. 1985, ApJ, 288, 143
                 * all elements are used, and must be set to zero if zero */
 
                /* set up space for simple  model of UV FeII emission */
                if( lgFirst )
                {
                        /* will never do this again in this core load */
                        lgFirst = false;
                        /* allocate the 1D arrays*/
                        pops = (double *)MALLOC( sizeof(double)*(NLFE2) );
                        create = (double *)MALLOC( sizeof(double)*(NLFE2) );
                        destroy = (double *)MALLOC( sizeof(double)*(NLFE2) );
                        depart = (double *)MALLOC( sizeof(double)*(NLFE2) );
                        /* create space for the 2D arrays */
                        AulPump = ((double **)MALLOC((NLFE2)*sizeof(double *)));
                        CollRate = ((double **)MALLOC((NLFE2)*sizeof(double *)));
                        AulDest = ((double **)MALLOC((NLFE2)*sizeof(double *)));
                        AulEscp = ((double **)MALLOC((NLFE2)*sizeof(double *)));
                        col_str = ((double **)MALLOC((NLFE2)*sizeof(double *)));
 
                        for( i=0; i < NLFE2; ++i )
                        {
                                AulPump[i] = ((double *)MALLOC((NLFE2)*sizeof(double )));
                                CollRate[i] = ((double *)MALLOC((NLFE2)*sizeof(double )));
                                AulDest[i] = ((double *)MALLOC((NLFE2)*sizeof(double )));
                                AulEscp[i] = ((double *)MALLOC((NLFE2)*sizeof(double )));
                                col_str[i] = ((double *)MALLOC((NLFE2)*sizeof(double )));
                        }
                }
 
                /*zero out all arrays, then check that upper diagonal remains zero below */
                for( i=0; i < NLFE2; i++ )
                {
                        create[i] = 0.;
                        destroy[i] = 0.;
                        for( j=0; j < NLFE2; j++ )
                        {
                                /*data[j][i] = 0.;*/
                                col_str[j][i] = 0.;
                                AulEscp[j][i] = 0.;
                                AulDest[j][i] = 0.;
                                AulPump[j][i] = 0.;
                        }
                }
 
                /* now put in real data for lines */
                AulEscp[1][0] = 1.;
                AulEscp[2][0] = ( TauLines[ipTuv3].Emis().Pesc() + TauLines[ipTuv3].Emis().Pelec_esc())*TauLines[ipTuv3].Emis().Aul();
                AulDest[2][0] = TauLines[ipTuv3].Emis().Pdest()*TauLines[ipTuv3].Emis().Aul();
                AulPump[0][2] = TauLines[ipTuv3].Emis().pump();
 
                AulEscp[5][0] = (TauLines[ipTFe16].Emis().Pesc() + TauLines[ipTFe16].Emis().Pelec_esc())*TauLines[ipTFe16].Emis().Aul();
                AulDest[5][0] = TauLines[ipTFe16].Emis().Pdest()*TauLines[ipTFe16].Emis().Aul();
                /* continuum pumping of n=6 */
                AulPump[0][5] = TauLines[ipTFe16].Emis().pump();
                /* Ly-alpha pumping */
 
                double PumpLyaFeII = iso_sp[ipH_LIKE][ipHYDROGEN].st[ipH2p].Pop()*
                        iso_sp[ipH_LIKE][ipHYDROGEN].trans(ipH2p,ipH1s).Emis().Aul()*
                        hydro.dstfe2lya/SDIV(dense.xIonDense[ipIRON][1]);
 
                AulPump[0][5] += PumpLyaFeII;
 
                AulEscp[2][1] = (TauLines[ipTr48].Emis().Pesc() + TauLines[ipTr48].Emis().Pelec_esc())*TauLines[ipTr48].Emis().Aul();
                AulDest[2][1] = TauLines[ipTr48].Emis().Pdest()*TauLines[ipTr48].Emis().Aul();
                AulPump[1][2] = TauLines[ipTr48].Emis().pump();
 
                AulEscp[5][1] = (TauLines[ipTFe26].Emis().Pesc() + TauLines[ipTFe26].Emis().Pelec_esc())*TauLines[ipTFe26].Emis().Aul();
                AulDest[5][1] = TauLines[ipTFe26].Emis().Pdest()*TauLines[ipTFe26].Emis().Aul();
                AulPump[1][5] = TauLines[ipTFe26].Emis().pump();
 
                AulEscp[3][2] = (TauLines[ipTFe34].Emis().Pesc() + TauLines[ipTFe34].Emis().Pelec_esc())*TauLines[ipTFe34].Emis().Aul();
                AulDest[3][2] = TauLines[ipTFe34].Emis().Pdest()*TauLines[ipTFe34].Emis().Aul();
                AulPump[2][3] = TauLines[ipTFe34].Emis().pump();
 
                AulEscp[4][2] = (TauLines[ipTFe35].Emis().Pesc() + TauLines[ipTFe35].Emis().Pelec_esc())*TauLines[ipTFe35].Emis().Aul();
                AulDest[4][2] = TauLines[ipTFe35].Emis().Pdest()*TauLines[ipTFe35].Emis().Aul();
                AulPump[2][4] = TauLines[ipTFe35].Emis().pump();
 
                AulEscp[5][3] = (TauLines[ipTFe46].Emis().Pesc() + TauLines[ipTFe46].Emis().Pelec_esc())*TauLines[ipTFe46].Emis().Aul();
                AulDest[5][3] = TauLines[ipTFe46].Emis().Pdest()*TauLines[ipTFe46].Emis().Aul();
                AulPump[3][5] = TauLines[ipTFe46].Emis().pump();
 
                AulEscp[5][4] = (TauLines[ipTFe56].Emis().Pesc() + TauLines[ipTFe56].Emis().Pelec_esc())*TauLines[ipTFe56].Emis().Aul();
                AulDest[5][4] = TauLines[ipTFe56].Emis().Pdest()*TauLines[ipTFe56].Emis().Aul();
                AulPump[4][5] = TauLines[ipTFe56].Emis().pump();
 
                /* these are collision strengths */
                col_str[1][0] = 1.;
                col_str[2][0] = 12.;
                col_str[3][0] = 1.;
                col_str[4][0] = 1.;
                col_str[5][0] = 12.;
                col_str[2][1] = 6.;
                col_str[3][1] = 1.;
                col_str[4][1] = 1.;
                col_str[5][1] = 12.;
                col_str[3][2] = 6.;
                col_str[4][2] = 12.;
                col_str[5][2] = 1.;
                col_str[4][3] = 1.;
                col_str[5][3] = 12.;
                col_str[5][4] = 6.;
 
                /*void atom_levelN(long,long,realnum,double[],double[],double[],double*,
                double*,double*,long*,realnum*,realnum*,STRING,int*);*/
                atom_levelN(NLFE2,
                        dense.xIonDense[ipIRON][1],
                        gFe2,
                        ex,
                        'K',
                        pops,
                        depart,
                        &AulEscp ,
                        &col_str,
                        &AulDest,
                        &AulPump,
                        &CollRate,
                        create,
                        destroy,
                        false,/* say atom_levelN should evaluate coll rates from cs */
                        /*&&ipdest,*/
                        &FeII.Fe2_UVsimp_cool,
                        &FeII.ddT_Fe2_UVsimp_cool,
                        "FeII",
                        &nNegPop,
                        &lgZeroPop,
                        false );
 
                /* nNegPop positive if negative pops occurred, negative if too cold */
                if( nNegPop > 0 /*negative if too cold - that is not negative and is OK */ )
                {
                        fprintf(ioQQQ," PROBLEM, atom_levelN returned negative population for simple UV FeII.\n");
                }
 
                /* add heating - cooling by this process */;
                CoolAdd("Fe 2",0,MAX2(0.,FeII.Fe2_UVsimp_cool));
                thermal.heating[25][27] = MAX2(0.,-FeII.Fe2_UVsimp_cool);
                thermal.dCooldT += FeII.ddT_Fe2_UVsimp_cool;
 
                /* LIMLEVELN is the dim of the PopLevels vector */
                ASSERT( NLFE2 <= LIMLEVELN );
                for( i=0; i < NLFE2; ++i )
                {
                        atoms.PopLevels[i] = pops[i];
                        atoms.DepLTELevels[i] = depart[i];
                }
 
                (*TauLines[ipTuv3].Lo()).Pop() = pops[0];
                (*TauLines[ipTuv3].Hi()).Pop() = pops[2];
                TauLines[ipTuv3].Emis().PopOpc() = (pops[0] - pops[2]);
                TauLines[ipTuv3].Emis().phots() = pops[2]*AulEscp[2][0];
                TauLines[ipTuv3].Emis().xIntensity() = 
                        TauLines[ipTuv3].Emis().phots()*TauLines[ipTuv3].EnergyErg();
 
                (*TauLines[ipTr48].Lo()).Pop() = pops[1];
                (*TauLines[ipTr48].Hi()).Pop() = pops[2];
                TauLines[ipTr48].Emis().PopOpc() = (pops[1] - pops[2]);
                TauLines[ipTr48].Emis().phots() = pops[2]*AulEscp[2][1];
                TauLines[ipTr48].Emis().xIntensity() = 
                        TauLines[ipTr48].Emis().phots()*TauLines[ipTr48].EnergyErg();
 
                FeII.for7 = pops[1]*AulEscp[1][0]*4.65e-12;
 
                (*TauLines[ipTFe16].Lo()).Pop() = pops[0];
                (*TauLines[ipTFe16].Hi()).Pop() = pops[5];
                /* Lyman alpha optical depths are not known on first iteration,
                 * inward optical depths used, so line trapping overestimated,
                 * this can cause artificial maser in FeII - prevent by not
                 * including stimulated emission correction on first iteration */
                TauLines[ipTFe16].Emis().PopOpc() = (pops[0] - pops[5]);
                TauLines[ipTFe16].Emis().phots() = pops[5]*AulEscp[5][0];
                TauLines[ipTFe16].Emis().xIntensity() = 
                        TauLines[ipTFe16].Emis().phots()*TauLines[ipTFe16].EnergyErg();
 
                (*TauLines[ipTFe26].Lo()).Pop() = pops[1];
                (*TauLines[ipTFe26].Hi()).Pop() = pops[5];
                TauLines[ipTFe26].Emis().PopOpc() = (pops[1] - pops[5]);
                TauLines[ipTFe26].Emis().phots() = pops[5]*AulEscp[5][1];
                TauLines[ipTFe26].Emis().xIntensity() = 
                        TauLines[ipTFe26].Emis().phots()*TauLines[ipTFe26].EnergyErg();
 
                (*TauLines[ipTFe34].Lo()).Pop() = pops[2];
                (*TauLines[ipTFe34].Hi()).Pop() = pops[3];
                TauLines[ipTFe34].Emis().PopOpc() = (pops[2] - pops[3]);
                TauLines[ipTFe34].Emis().phots() = pops[3]*AulEscp[3][2];
                TauLines[ipTFe34].Emis().xIntensity() = 
                        TauLines[ipTFe34].Emis().phots()*TauLines[ipTFe34].EnergyErg();
 
                (*TauLines[ipTFe35].Lo()).Pop() = pops[2];
                (*TauLines[ipTFe35].Hi()).Pop() = pops[4];
                TauLines[ipTFe35].Emis().PopOpc() = (pops[2] - pops[4]);
                TauLines[ipTFe35].Emis().phots() = pops[4]*AulEscp[4][2];
                TauLines[ipTFe35].Emis().xIntensity() = 
                        TauLines[ipTFe35].Emis().phots()*TauLines[ipTFe35].EnergyErg();
 
                (*TauLines[ipTFe46].Lo()).Pop() = pops[3];
                (*TauLines[ipTFe46].Hi()).Pop() = pops[5];
                TauLines[ipTFe46].Emis().PopOpc() = (pops[3] - pops[5]);
                TauLines[ipTFe46].Emis().phots() = pops[5]*AulEscp[5][3];
                TauLines[ipTFe46].Emis().xIntensity() = 
                        TauLines[ipTFe46].Emis().phots()*TauLines[ipTFe46].EnergyErg();
 
                (*TauLines[ipTFe56].Lo()).Pop() = pops[4];
                (*TauLines[ipTFe56].Hi()).Pop() = pops[5];
                TauLines[ipTFe56].Emis().PopOpc() = (pops[4] - pops[5]);
                TauLines[ipTFe56].Emis().phots() = pops[5]*AulEscp[5][4];
                TauLines[ipTFe56].Emis().xIntensity() = 
                        TauLines[ipTFe56].Emis().phots()*TauLines[ipTFe56].EnergyErg();
 
                /* Jack's funny FeII lines, data from 
                 * >>refer      fe2     energy  Johansson, S., Brage, T., Leckrone, D.S., Nave, G. &
                 * >>refercon Wahlgren, G.M. 1995, ApJ 446, 361 */
                PutCS(10.,TauLines[ipT191]);
                atom_level2(TauLines[ipT191]);
        }
 
        {
                /*@-redef@*/
                enum{DEBUG_LOC=false};
                /*@+redef@*/
                if( DEBUG_LOC && iteration > 1 && nzone >=4 )
                {
                        fprintf(ioQQQ,"DEBUG2\t%.2e\t%.2e\t%.2e\n",
                                phycon.te,
                                FeII.Fe2_large_cool , 
                                FeII.Fe2_UVsimp_cool );
                }
        }
 
        return;
 
}
 
/*CoolIron - calculation total cooling due to Fe */
void CoolIron(void)
{
        realnum rate;
 
        DEBUG_ENTRY( "CoolIron()" );
 
        /* cooling by FeI 24m, 34.2 m */
        /* >>chng 03 nov 15, add these lines */
        /*>>refer       Fe1     cs      Hollenbach & McKee 89 */
        /* the 24.0 micron line */
        rate = (realnum)(1.2e-7 * dense.eden + 
                /* >>chng 05 jul 05, eden to cdsqte */
                /*8.0e-10*pow((phycon.te/100.), 0.17 )*dense.xIonDense[ipHYDROGEN][0]) / dense.eden);*/
                8.0e-10*pow((phycon.te/100.), 0.17 )*dense.xIonDense[ipHYDROGEN][0]);
        LineConvRate2CS( TauLines[ipFe1_24m]  , rate );
 
        rate = (realnum)(9.3e-8 * dense.eden + 
                /* >>chng 05 jul 05, eden to cdsqte */
                /*5.3e-10*pow((phycon.te/100.), 0.17 )*dense.xIonDense[ipHYDROGEN][0]) / dense.eden);*/
                5.3e-10*pow((phycon.te/100.), 0.17 )*dense.xIonDense[ipHYDROGEN][0]);
        LineConvRate2CS( TauLines[ipFe1_35m]  , rate );
 
        rate = (realnum)(1.2e-7 * dense.eden + 
                /* >>chng 05 jul 05, eden to cdsqte */
                /*6.9e-10*pow((phycon.te/100.), 0.17 )*dense.xIonDense[ipHYDROGEN][0]) / dense.eden);*/
                6.9e-10*pow((phycon.te/100.), 0.17 )*dense.xIonDense[ipHYDROGEN][0]);
        (*(*TauDummy).Hi()).g() = (*TauLines[ipFe1_35m].Hi()).g();
        LineConvRate2CS( *TauDummy  , rate );
        /* this says that line is a dummy, not real one */
        (*(*TauDummy).Hi()).g() = 0.;
 
        atom_level3(TauLines[ipFe1_24m],TauLines[ipFe1_35m],*TauDummy);
 
        /* series of FeI lines from Dima Verner's list, each 2-lev atom
         *
         * Fe I 3884 */
        MakeCS(TauLines[ipFeI3884]);
        atom_level2(TauLines[ipFeI3884]);
 
        /* Fe I 3729 */
        MakeCS(TauLines[ipFeI3729]);
        atom_level2(TauLines[ipFeI3729]);
 
        /* Fe I 3457 */
        MakeCS(TauLines[ipFeI3457]);
        atom_level2(TauLines[ipFeI3457]);
 
        /* Fe I 3021 */
        MakeCS(TauLines[ipFeI3021]);
        atom_level2(TauLines[ipFeI3021]);
 
        /* Fe I 2966 */
        MakeCS(TauLines[ipFeI2966]);
        atom_level2(TauLines[ipFeI2966]);
 
        /* >>chng 05 dec 03, move Fe2 FeII Fe II cooling into separate routine */
        Fe2_cooling();
 
        /* lump 3p and 3f together; cs=
         * >>refer      fe3     as      Garstang, R.H., Robb, W.D., Rountree, S.P. 1978, ApJ, 222, 384
         * A from
         * >>refer      fe3     as      Garstang, R.H., 1957, Vistas in Astronomy, 1, 268
         * FE III 5270, is 20.9% of total 
         * >>chng 05 feb 18, Kevin Blagrave email
         * average wavelength is 4823 with statistical weight averaging of upper energy level,
         * as per , change 5th number from 2.948 to 2.984, also photon energy
         * from 3.78 to 4.12 */
 
        /* >>chng 05 dec 16, FeIII update by Kevin Blagrave */
        /* FeIII 1122 entire multiplet - atomic data=A's Dima, CS = guess */
        PutCS(25.,TauLines[ipT1122]);
        atom_level2(TauLines[ipT1122]);
 
        /* call 14 level atom */
        Fe3Lev14();
 
        /* call 12 level atom */
        Fe4Lev12();
 
        /* FE V 3892 + 3839, data from Shields */
        CoolHeavy.c3892 = atom_pop2(7.4,25.,5.,0.6,3.7e4,dense.xIonDense[ipIRON][4])*
          5.11e-12;
        CoolAdd("Fe 5",3892,CoolHeavy.c3892);
 
        return;
}
 
/*Fe4Lev12 compute populations and cooling due to 12 level Fe IV ion */
STATIC void Fe4Lev12(void)
{
        const int NLFE4 = 12;
        bool lgZeroPop;
        int nNegPop;
        long int i, 
          j;
        static bool lgFirst=true;
 
        double dfe4dt;
 
        /*static long int **ipdest; */
        static double 
                **AulEscp,
                **col_str,
                **AulDest, 
                depart[NLFE4],
                pops[NLFE4], 
                destroy[NLFE4], 
                create[NLFE4],
                **CollRate,
                **AulPump;
 
        static const double Fe4A[NLFE4][NLFE4] = {
                {0.,0.,0.,1.e-5,0.,1.368,.89,0.,1.3e-3,1.8e-4,.056,.028},
                {0.,0.,2.6e-8,0.,0.,0.,0.,0.,1.7e-7,0.,0.,0.},
                {0.,0.,0.,0.,3.5e-7,6.4e-10,0.,0.,6.315e-4,0.,6.7e-7,0.},
                {0.,0.,0.,0.,1.1e-6,6.8e-5,8.6e-6,3.4e-10,7.6e-5,1.e-7,5.8e-4,2.8e-4},
                {0.,0.,0.,0.,0.,1.5e-5,1.3e-9,0.,7.6e-4,0.,1.1e-6,6.0e-7},
                {0.,0.,0.,0.,0.,0.,1.1e-5,1.2e-13,.038,9.9e-7,.022,.018},
                {0.,0.,0.,0.,0.,0.,0.,3.7e-5,2.9e-6,.034,3.5e-3,.039},
                {0.,0.,0.,0.,0.,0.,0.,0.,0.,.058,3.1e-6,1.4e-3},
                {0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,1.3e-4,3.1e-14},
                {0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,1.9e-19,1.0e-5},
                {0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,1.3e-7},
                {0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.}
        };
 
        static const double gfe4[NLFE4]={6.,12.,10.,6.,8.,6.,4.,2.,8.,2.,6.,4.};
 
        /* excitation energies in Kelvin 
        static double ex[NLFE4]={0.,46395.8,46464.,46475.6,46483.,50725.,
          50838.,50945.,55796.,55966.,56021.,56025.};*/
        /*>>refer       Fe3     energies        version 3 NIST Atomic Spectra Database */
        /*>>chng 05 dec 17, from Kelvin above to excitation energies in wn */
        static const double excit_wn[NLFE4]={0.,32245.5,32292.8,32301.2,32305.7,35253.8,
          35333.3,35406.6,38779.4,38896.7,38935.1,38938.2};
 
        DEBUG_ENTRY( "Fe4Lev12()" );
 
        if( lgFirst )
        {
                /* will never do this again */
                lgFirst = false;
                /* allocate the 1D arrays*/
                /* create space for the 2D arrays */
                AulPump = ((double **)MALLOC((NLFE4)*sizeof(double *)));
                CollRate = ((double **)MALLOC((NLFE4)*sizeof(double *)));
                AulDest = ((double **)MALLOC((NLFE4)*sizeof(double *)));
                AulEscp = ((double **)MALLOC((NLFE4)*sizeof(double *)));
                col_str = ((double **)MALLOC((NLFE4)*sizeof(double *)));
                for( i=0; i < NLFE4; ++i )
                {
                        AulPump[i] = ((double *)MALLOC((NLFE4)*sizeof(double )));
                        CollRate[i] = ((double *)MALLOC((NLFE4)*sizeof(double )));
                        AulDest[i] = ((double *)MALLOC((NLFE4)*sizeof(double )));
                        AulEscp[i] = ((double *)MALLOC((NLFE4)*sizeof(double )));
                        col_str[i] = ((double *)MALLOC((NLFE4)*sizeof(double )));
                }
        }
 
        /* bail if no Fe+3 */
        if( dense.xIonDense[ipIRON][3] <= 0. )
        {
                fe.Fe4CoolTot = 0.;
                fe.fe40401 = 0.;
                fe.fe42836 = 0.;
                fe.fe42829 = 0.;
                fe.fe42567 = 0.;
                fe.fe41207 = 0.;
                fe.fe41206 = 0.;
                fe.fe41106 = 0.;
                fe.fe41007 = 0.;
                fe.fe41008 = 0.;
                fe.fe40906 = 0.;
                CoolAdd("Fe 4",0,0.);
 
                /* level populations */
                /* LIMLEVELN is the dimension of the atoms vectors */
                ASSERT( NLFE4 <= LIMLEVELN);
                for( i=0; i < NLFE4; i++ )
                {
                        atoms.PopLevels[i] = 0.;
                        atoms.DepLTELevels[i] = 1.;
                }
                return;
        }
        /* number of levels in model ion */
 
        /* these are in wavenumbers
         * data excit_wn/ 0., 32245.5, 32293., 32301.2, 
         *  1  32306., 35254., 35333., 35407., 38779., 38897., 38935.,
         *  2  38938./ 
         * excitation energies in Kelvin */
 
        /* A's are from Garstang, R.H., MNRAS 118, 572 (1958).
         * each set is for a lower level indicated by second element in array,
         * index runs over upper level
         * A's are saved into arrays as data(up,lo) */
 
        /* collision strengths from Berrington and Pelan  Ast Ap S 114, 367.
         * order is cs(low,up) */
 
        /* all elements are used, and must be set to zero if zero */
        for( i=0; i < NLFE4; i++ )
        {
                create[i] = 0.;
                destroy[i] = 0.;
                for( j=0; j < NLFE4; j++ )
                {
                        col_str[j][i] = 0.;
                        AulEscp[j][i] = 0.;
                        AulDest[j][i] = 0.;
                        AulPump[j][i] = 0.;
                }
        }
 
        /* fill in Einstein As and collision strengths */
        for( long ipHi=1; ipHi < NLFE4; ipHi++ )
        {
                for( long ipLo=0; ipLo < ipHi; ipLo++ )
                {
                        AulEscp[ipHi][ipLo] = Fe4A[ipLo][ipHi];
                        col_str[ipHi][ipLo] = Fe4_cs(ipLo, ipHi);
                }
        }
 
        /* leveln itself is well-protected against zero abundances,
         * low temperatures */
 
        atom_levelN(NLFE4,
                dense.xIonDense[ipIRON][3],
                gfe4,
                excit_wn,
                'w',
                pops,
                depart,
                &AulEscp ,
                &col_str ,
                &AulDest,
                &AulPump,
                &CollRate,
                create,
                destroy,
                /* say atom_levelN should evaluate coll rates from cs */
                false,
                &fe.Fe4CoolTot,
                &dfe4dt,
                "FeIV",
                /* nNegPop positive if negative pops occured, negative if too cold */
                &nNegPop,
                &lgZeroPop,
                false );
 
        /* LIMLEVELN is the dim of the PopLevels vector */
        ASSERT( NLFE4 <= LIMLEVELN );
        for( i=0; i < NLFE4; ++i )
        {
                atoms.PopLevels[i] = pops[i];
                atoms.DepLTELevels[i] = depart[i];
        }
 
        if( nNegPop > 0 )
        {
                fprintf( ioQQQ, " fe4levl2 found negative populations\n" );
                ShowMe();
                cdEXIT(EXIT_FAILURE);
        }
 
        CoolAdd("Fe 4",0,fe.Fe4CoolTot);
 
        thermal.dCooldT += dfe4dt;
 
        /* three transitions hst can observe
         * 4 -1 3095.9A and 5 -1 3095.9A */
        fe.fe40401 = (pops[3]*Fe4A[0][3]*(excit_wn[3] - excit_wn[0]) + 
                pops[4]*Fe4A[0][4]*(excit_wn[4] - excit_wn[0]) )*T1CM*BOLTZMANN;
 
        fe.fe42836 = pops[5]*Fe4A[0][5]*(excit_wn[5] - excit_wn[0])*T1CM*BOLTZMANN;
 
        fe.fe42829 = pops[6]*Fe4A[0][6]*(excit_wn[5] - excit_wn[0])*T1CM*BOLTZMANN;
 
        fe.fe42567 = (pops[10]*Fe4A[0][10]*(excit_wn[10] - excit_wn[0]) + 
                pops[11]*Fe4A[0][11]*(excit_wn[10] - excit_wn[0]))*T1CM*BOLTZMANN;
 
        fe.fe41207 = pops[11]*Fe4A[6][11]*(excit_wn[11] - excit_wn[6])*T1CM*BOLTZMANN;
        fe.fe41206 = pops[11]*Fe4A[5][11]*(excit_wn[11] - excit_wn[5])*T1CM*BOLTZMANN;
        fe.fe41106 = pops[10]*Fe4A[5][10]*(excit_wn[10] - excit_wn[5])*T1CM*BOLTZMANN;
        fe.fe41007 = pops[9]*Fe4A[6][9]*(excit_wn[9] - excit_wn[6])*T1CM*BOLTZMANN;
        fe.fe41008 = pops[9]*Fe4A[7][9]*(excit_wn[9] - excit_wn[7])*T1CM*BOLTZMANN;
        fe.fe40906 = pops[8]*Fe4A[5][8]*(excit_wn[8] - excit_wn[5])*T1CM*BOLTZMANN;
        return;
}
 
/*Fe3Lev14 compute populations and cooling due to 14 level Fe III ion 
 * >>chng 05 dec 17, code provided by Kevin Blagrave and described in
 *>>refer       Fe3     model   Blagrave, K.P.M., Martin, P.G. & Baldwin, J.A. 
 *>>refercon 2006, ApJ, 644, 1006B (astro-ph 0603167) */
STATIC void Fe3Lev14(void)
{
        bool lgZeroPop;
        int nNegPop;
        long int i,
                j;
        static bool lgFirst=true;
 
        double dfe3dt;
 
        long int ihi , ilo;
        static double
                *depart,
                *pops,
                *destroy,
                *create ,
                **AulDest,
                **CollRate,
                **AulPump,
                **AulNet,
                **col_str;
 
        /* statistical weights for the n levels */
        static double gfe3[NLFE3]={9.,7.,5.,3.,1.,5.,13.,11.,9.,3.,1.,9.,7.,5.};
 
        /*refer Fe3     energies        NIST version 3 Atomic Spectra Database */
        /* from smallest to largest energy (not in multiplet groupings) */
 
        /* energy in wavenumbers */
        static double excit_wn[NLFE3]={
                0.0    ,   436.2,   738.9,   932.4,  1027.3,
                19404.8, 20051.1, 20300.8, 20481.9, 20688.4,
                21208.5, 21462.2, 21699.9, 21857.2 };
 
        DEBUG_ENTRY( "Fe3Lev14()" );
 
        if( lgFirst )
        {
                /* will never do this again */
                lgFirst = false;
                /* allocate the 1D arrays*/
                /* create space for the 2D arrays */
                depart = ((double *)MALLOC((NLFE3)*sizeof(double)));
                pops = ((double *)MALLOC((NLFE3)*sizeof(double)));
                destroy = ((double *)MALLOC((NLFE3)*sizeof(double)));
                create = ((double *)MALLOC((NLFE3)*sizeof(double)));
                /* now the 2-d arrays */
                fe.Fe3_wl = ((double **)MALLOC((NLFE3)*sizeof(double *)));
                fe.Fe3_emiss = ((double **)MALLOC((NLFE3)*sizeof(double *)));
                AulNet = ((double **)MALLOC((NLFE3)*sizeof(double *)));
                col_str = ((double **)MALLOC((NLFE3)*sizeof(double *)));
                AulPump = ((double **)MALLOC((NLFE3)*sizeof(double *)));
                CollRate = ((double **)MALLOC((NLFE3)*sizeof(double *)));
                AulDest = ((double **)MALLOC((NLFE3)*sizeof(double *)));
                for( i=0; i < NLFE3; ++i )
                {
                        fe.Fe3_wl[i] = ((double *)MALLOC((NLFE3)*sizeof(double )));
                        fe.Fe3_emiss[i] = ((double *)MALLOC((NLFE3)*sizeof(double )));
                        AulNet[i] = ((double *)MALLOC((NLFE3)*sizeof(double )));
                        col_str[i] = ((double *)MALLOC((NLFE3)*sizeof(double )));
                        AulPump[i] = ((double *)MALLOC((NLFE3)*sizeof(double )));
                        CollRate[i] = ((double *)MALLOC((NLFE3)*sizeof(double )));
                        AulDest[i] = ((double *)MALLOC((NLFE3)*sizeof(double )));
                }
 
                /* set some to constant values after zeroing out */
                for( i=0; i < NLFE3; ++i )
                {
                        create[i] = 0.;
                        destroy[i] = 0.;
                        for( j=0; j < NLFE3; ++j )
                        {
                                AulNet[i][j] = 0.;
                                col_str[i][j] = 0.;
                                CollRate[i][j] = 0.;
                                AulDest[i][j] = 0.;
                                AulPump[i][j] = 0.;
                                fe.Fe3_wl[i][j] = 0.;
                                fe.Fe3_emiss[i][j] = 0.;
                        }
                }
                /* calculates wavelengths of transitions */
                /* dividing by RefIndex converts the vacuum wavelength to air wavelength */
                for( ihi=1; ihi < NLFE3; ++ihi )
                {
                        for( ilo=0; ilo < ihi; ++ilo )
                        {
                                fe.Fe3_wl[ihi][ilo] = 1e8/(excit_wn[ihi]-excit_wn[ilo]) / 
                                        RefIndex( (excit_wn[ihi]-excit_wn[ilo]) );
                        }
                }
 
                /* assume FeIII is optically thin - just use As as net escape */
                /*>>refer       Fe3     as      Quinet, P., 1996, A&AS, 116, 573      */
                AulNet[1][0] = 2.8e-3;
                AulNet[7][0] = 4.9e-6;
                AulNet[8][0] = 5.7e-3;
                AulNet[11][0] = 4.5e-1;
                AulNet[12][0] = 4.2e-2;
 
                AulNet[2][1] = 1.8e-3;
                AulNet[5][1] = 4.2e-1;
                AulNet[8][1] = 1.0e-3;
                AulNet[11][1] = 8.4e-2;
                AulNet[12][1] = 2.5e-1;
                AulNet[13][1] = 2.7e-2;
 
                AulNet[3][2] = 7.0e-4;
                AulNet[5][2] = 5.1e-5;
                AulNet[9][2] = 5.4e-1;
                AulNet[12][2] = 8.5e-2;
                AulNet[13][2] = 9.8e-2;
 
                AulNet[4][3] = 1.4e-4;
                AulNet[5][3] = 3.9e-2;
                AulNet[9][3] = 4.1e-5;
                AulNet[10][3] = 7.0e-1;
                AulNet[13][3] = 4.7e-2;
 
                AulNet[9][4] = 9.3e-2;
 
                AulNet[9][5] = 4.7e-2;
                AulNet[12][5] = 2.5e-6;
                AulNet[13][5] = 1.7e-5;
 
                AulNet[7][6] = 2.7e-4;
 
                AulNet[8][7] = 1.2e-4;
                AulNet[11][7] = 6.6e-4;
 
                AulNet[11][8] = 1.6e-3;
                AulNet[12][8] = 7.8e-4;
 
                AulNet[10][9] = 8.4e-3;
                AulNet[13][9] = 2.8e-7;
 
                AulNet[12][11] = 3.0e-4;
 
                AulNet[13][12] = 1.4e-4;
 
                for( int ipHi = 1; ipHi < NLFE3; ipHi++)
                {
                        for( int ipLo = 0; ipLo < ipHi; ipLo++)
                        {
                                col_str[ipHi][ipLo] = Fe3_cs(ipLo,ipHi);
                        }
                }
        }
 
        /* bail if no ions */
        if( dense.xIonDense[ipIRON][2] <= 0. )
        {
                CoolAdd("Fe 3",0,0.);
 
                fe.Fe3CoolTot = 0.;   
                for( ihi=1; ihi < NLFE3; ++ihi )
                {
                        for( ilo=0; ilo < ihi; ++ilo )
                        {
                                fe.Fe3_emiss[ihi][ilo] = 0.;
                        }
                }
                /* level populations */
                /* LIMLEVELN is the dimension of the atoms vectors */
                ASSERT( NLFE3 <= LIMLEVELN);
                for( i=0; i < NLFE3; i++ )
                {
                        atoms.PopLevels[i] = 0.;
                        atoms.DepLTELevels[i] = 1.;
                }
                return;
        }
 
        /* nNegPop positive if negative pops occurred, negative if too cold */
        atom_levelN(
                /* number of levels */
                NLFE3,
                /* the abundance of the ion, cm-3 */
                dense.xIonDense[ipIRON][2],
                /* the statistical weights */
                gfe3,
                /* the excitation energies */
                excit_wn,
                'w',
                /* the derived populations - cm-3 */
                pops,
                /* the derived departure coefficients */
                depart,
                /* the net emission rate, Aul * escape prob */
                &AulNet ,
                /* the collision strengths */
                &col_str ,
                /* A * destruction prob */
                &AulDest,
                /* pumping rate */
                &AulPump,
                /* collision rate, s-1, must defined if no collision strengths */
                &CollRate,
                /* creation vector */
                create,
                /* destruction vector */
                destroy,
                /* say atom_levelN should evaluate coll rates from cs */
                false,   
                &fe.Fe3CoolTot,
                &dfe3dt,
                "Fe 3",
                &nNegPop,
                &lgZeroPop,
                false );
 
        /* LIMLEVELN is the dim of the PopLevels vector */
        ASSERT( NLFE3 <= LIMLEVELN );
        for( i=0; i < NLFE3; ++i )
        {
                atoms.PopLevels[i] = pops[i];
                atoms.DepLTELevels[i] = depart[i];
        }
 
        if( nNegPop > 0 )
        {
                fprintf( ioQQQ, " Fe3Lev14 found negative populations\n" );
                ShowMe();
                cdEXIT(EXIT_FAILURE);
        }
 
        /* add cooling then its derivative */
        CoolAdd("Fe 3",0,fe.Fe3CoolTot);
        /* derivative of cooling */
        thermal.dCooldT += dfe3dt;
 
        /* find emission in each line */
        for( ihi=1; ihi < NLFE3; ++ihi )
        {
                for( ilo=0; ilo < ihi; ++ilo )
                {
                        /* emission in these lines */
                        fe.Fe3_emiss[ihi][ilo] = pops[ihi]*AulNet[ihi][ilo]*(excit_wn[ihi] - excit_wn[ilo])*T1CM*BOLTZMANN;
                }
        }
        return;
}
 
double Fe3_cs(long ipLo, long ipHi)
{
        static double col_str[14][14];
 
        static double lgOneTimeMustInit=true;
        if( lgOneTimeMustInit )
        {
                lgOneTimeMustInit = false;
                /* collision strengths at log T 4 */
                /*>>refer       Fe3     cs      Zhang, H.  1996, 119, 523 */
                col_str[1][0] = 2.92;
                col_str[2][0] = 1.24;
                col_str[3][0] = 0.595;
                col_str[4][0] = 0.180;
                col_str[5][0] = 0.580;
                col_str[6][0] = 1.34;
                col_str[7][0] = 0.489;
                col_str[8][0] = 0.0926;
                col_str[9][0] = 0.165;
                col_str[10][0] = 0.0213;
                col_str[11][0] = 1.07;
                col_str[12][0] = 0.435;
                col_str[13][0] = 0.157;
        
                col_str[2][1] = 2.06;
                col_str[3][1] = 0.799;
                col_str[4][1] = 0.225;
                col_str[5][1] = 0.335;
                col_str[6][1] = 0.555;
                col_str[7][1] = 0.609;
                col_str[8][1] = 0.367;
                col_str[9][1] = 0.195;
                col_str[10][1] = 0.0698;
                col_str[11][1] = 0.538;
                col_str[12][1] = 0.484;
                col_str[13][1] = 0.285;
        
                col_str[3][2] = 1.29;
                col_str[4][2] = 0.312;
                col_str[5][2] = 0.173;
                col_str[6][2] = 0.178;
                col_str[7][2] = 0.430;
                col_str[8][2] = 0.486;
                col_str[9][2] = 0.179;
                col_str[10][2] = 0.0741;
                col_str[11][2] = 0.249;
                col_str[12][2] = 0.362;
                col_str[13][2] = 0.324;
        
                col_str[4][3] = 0.493;
                col_str[5][3] = 0.0767;
                col_str[6][3] = 0.0348;
                col_str[7][3] = 0.223;
                col_str[8][3] = 0.401;
                col_str[9][3] = 0.126;
                col_str[10][3] = 0.0528;
                col_str[11][3] = 0.101;
                col_str[12][3] = 0.207;
                col_str[13][3] = 0.253;
        
                col_str[5][4] = 0.0211;
                col_str[6][4] = 0.00122;
                col_str[7][4] = 0.0653;
                col_str[8][4] = 0.154;
                col_str[9][4] = 0.0453;
                col_str[10][4] = 0.0189;
                col_str[11][4] = 0.0265;
                col_str[12][4] = 0.0654;
                col_str[13][4] = 0.0950;
        
                col_str[6][5] = 0.403;
                col_str[7][5] = 0.213;
                col_str[8][5] = 0.0939;
                col_str[9][5] = 1.10;
                col_str[10][5] = 0.282;
                col_str[11][5] = 0.942;
                col_str[12][5] = 0.768;
                col_str[13][5] = 0.579;
        
                col_str[7][6] = 2.84; /* 10-9 */
                col_str[8][6] = 0.379; /* 11-9 */
                col_str[9][6] = 0.0876;  /* 7-9 */
                col_str[10][6] = 0.00807; /* 8-9 */
                col_str[11][6] = 1.85; /* 12-9 */
                col_str[12][6] = 0.667; /* 13-9 */
                col_str[13][6] = 0.0905; /* 14-9 */
        
                col_str[8][7] = 3.07; /* 11-10 */
                col_str[9][7] = 0.167;   /* 7-10 */
                col_str[10][7] = 0.0526;  /* 8-10 */
                col_str[11][7] = 0.814; /* 12-10 */
                col_str[12][7] = 0.837; /* 13-10 */
                col_str[13][7] = 0.626; /* 14-10 */
        
                col_str[9][8] = 0.181; /* 7-11 */
                col_str[10][8] = 0.0854; /* 8-11 */
                col_str[11][8] = 0.180; /* 12-11 */
                col_str[12][8] = 0.778; /* 13-11 */
                col_str[13][8] = 0.941; /* 14-11 */
        
                col_str[10][9] = 0.377; /* 8-7 */
                col_str[11][9] = 0.603; /* 12-7 */
                col_str[12][9] = 0.472; /* 13-7 */
                col_str[13][9] = 0.302; /* 14-7 */
        
                col_str[11][10] = 0.216; /* 12-8 */
                col_str[12][10] = 0.137; /* 13-8 */
                col_str[13][10] = 0.106; /* 14-8 */
        
                col_str[12][11] = 1.25;
                col_str[13][11] = 0.292;
        
                col_str[13][12] = 1.10;
        }
 
        ASSERT( ipHi > ipLo );
        double CollisionStrength = col_str[ipHi][ipLo];
        ASSERT( CollisionStrength >0. );
 
        return( CollisionStrength );
}
 
double Fe4_cs(long ipLo, long ipHi)
{
        const int NLFE4=12;
 
        /* collision strengths from Berrington and Pelan  Ast Ap S 114, 367.
         * order is cs(low,up) */
        static const double Fe4CS[NLFE4][NLFE4] = {
                        {0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.},
                        {0.98,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.},
                        {0.8167,3.72,0.,0.,0.,0.,0.,0.,0.,0.,0.,0.},
                        {0.49,0.0475,0.330,0.,0.,0.,0.,0.,0.,0.,0.,0.},
                        {0.6533,0.473,2.26,1.64,0.,0.,0.,0.,0.,0.,0.,0.},
                        {0.45,0.686,0.446,0.106,0.254,0.,0.,0.,0.,0.,0.,0.},
                        {0.30,0.392,0.152,0.269,0.199,0.605,0.,0.,0.,0.,0.,0.},
                        {0.15,0.0207,0.190,0.0857,0.166,0.195,0.327,0.,0.,0.,0.,0.},
                        {0.512,1.23,0.733,0.174,0.398,0.623,0.335,0.102,0.,0.,0.,0.},
                        {0.128,0.0583,0.185,0.200,0.188,0.0835,0.127,0.0498,0.0787,0.,0.,0.},
                        {0.384,0.578,0.534,0.363,0.417,0.396,0.210,0.171,0.810,0.101,0.,0.},
                        {0.256,0.234,0.306,0.318,0.403,0.209,0.195,0.112,0.195,0.458,0.727,0.}
        };
 
        ASSERT( ipHi > ipLo );
        double CollisionStrength = Fe4CS[ipHi][ipLo];
        ASSERT( CollisionStrength >0. );
 
        return( CollisionStrength );
}
 
double Fe5_cs(long ipLo, long ipHi)
{
        const int NLFE5 = 14;
        static double col_str[NLFE5][NLFE5];
        /*>>refer       Fe5     cs      Shields ApJ 219, 559. */
 
 
        static double lgOneTimeMustInit=true;
        if( lgOneTimeMustInit )
        {
                lgOneTimeMustInit = false;
                for( int i = 0;i < NLFE5;i++)
                {
                        for( int j = 0;j < NLFE5;j++)
                        {
                                col_str[i][j] = 1.;
                        }
                }
 
                col_str[10][3] = 1.4; //3896A
                col_str[7][2] = 1.1; //4072A
                col_str[13][4] = 3.7; //3892A
                col_str[12][3] = 3.7; //3839A
                col_str[11][2] = 2.0; //3795A
        }
 
        ASSERT( ipHi > ipLo );
        double CollisionStrength = col_str[ipHi][ipLo];
        ASSERT( CollisionStrength >0. );
 
        return( CollisionStrength );
}