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exsect.f
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C Subroutine EXSECT Calculates electron impact cross sections
C
C This software is part of the GLOW model. Use is governed by the Open Source
C Academic Research License Agreement contained in the file glowlicense.txt.
C For more information see the file glow.txt.
C
C Adapted from Banks & Nagy 2-stream code by Stan Solomon, 1988
C Added high-energy relativistic cross section correction, SCS, 1999
C Updated comments, SCS, 2002
C Included in GLOW v. 0.97, SCS, 2005
C Replaced common blocks with use-associated variables defined in module cglow, Ben Foster, 2015
C Reduced O(3p5P) (7774) cross section A0 from 0.817 to 0.327, SCS, 1/2017
C
C Definitions:
C SIGS elastic cross sections for each species, energy; cm2
C PE elastic backscatter probabilities for each species, energy
C PIN inelastic "
C SIGA energy loss cross section for each species, loss, energy; cm2
C SEC secondary production xsect for species, Esec, Epri; cm2
C SIGEX excitation xsect for each state, species, energy; cm2
C O states: 1D, 1S, 3s5S, 3s3S, 3p5P, 3p3P, 3d3D, 3s'3D
C O2 states: a, b, AA'c, B, 9.9, Ryds, vib
C N2 states: ABW, B', C, aa'w, 1Pu, b', Ryds, vib
C SIGIX ionization xsect for each state, species, energy; cm2
C O states: 4S, 2Do, 2Po
C O2 states: X, a, A, b, B, c, 37eV
C N2 states: X, A, B, D, C, 40eV
C IIMAX number of bins for secondary production for each primary energy
C WW energy threshold for each excited state, species; eV
C WW, AO, OMEG, ANU, BB: revised excitation cross section parameters,
C from Green & Stolarski (1972) formula (W, A, omega, nu, gamma)
C AUTO autoionization coefs (= 0 as autoion. included in ion xsects)
C THI energy threshold for each ionized state, species; eV
C AK, AJ, TS, TA, TB, GAMS, GAMB: Jackman et al (1977) ioniz. params
C ENER energy grid; eV
C DEL energy grid spacing; eV
C NNN number of excited states for each species
C NINN number of ionized states for each species
C NUM number of points on elastic data trid for each species
C EC data energy grid of elastic xsects and backscatter ratios
C for each species; eV
C CC elastic xsects on data grid for each species, cm2
C CE elastic backscat. probs on data grid for each species; cm2
C CI inelastic "
C
C Array dimensions:
C NBINS number of energy levels
C NMAJ number of major species
C NEI number of slots for excited and ionized states
C
C
SUBROUTINE EXSECT (ENER, DEL)
C
use cglow,only: NMAJ,NEI,NBINS
use cglow,only: WW,AO,OMEG,ANU,BB,AUTO,THI,AK,AJ,TS,TA,TB,GAMS, ! /CXPARS/
| GAMB
use cglow,only: SIGS,PE,PIN,SIGEX,SIGIX,SIGA,SEC,SIGA,IIMAXX ! /CXSECT/
C
implicit none
C
real,intent(in) :: ENER(NBINS), DEL(NBINS)
C
real :: SIGI(NBINS), T12(NBINS), RATIO(NBINS),
| EC(31,NMAJ), CC(31,NMAJ), CE(31,NMAJ), CI(31,NMAJ)
integer :: NNNI(NMAJ),NINN(NMAJ),NUM(NMAJ),NNN(NMAJ)
integer :: ij,iv,ii,i,k,j,i1,i2,i3,jy,kuk,kuk1,iee,kk,ie,ibz,ml,
| itmax
real :: EX,FAC,WE,AE,GAMMA,T0,ETJ,DETJ,SIGG,ETA,FF,WAG,TMT,
| E1,E2,TMAX,WTH1
integer,external :: INV
real,external :: SIGION
C
real,parameter :: QQN = 6.51E-14
C
NNN = (/8,7,8/)
NINN = (/3,7,6/)
NUM = (/31,28,28/)
C
C Set arrays in module cglow (formerly COMMON/CXSECT/)
C (all are dimensioned (nei,nmaj) (10,3))
C
WW(1:nei,1)=
| (/1.96, 4.17, 9.29, 9.53,10.76,10.97,12.07,12.54, 0., 0./)
WW(1:nei,2)=
| (/0.98, 1.64, 4.50, 8.44, 9.90,13.50, 0.25, 0.00, 0., 0./)
WW(1:nei,3)=
| (/6.17, 8.16,11.03, 8.40,12.85,14.00,13.75, 1.85, 0., 0./)
AO(1:nei,1)=
| (/.0100,.0042,.1793,.3565,.0327,.0245,.0293,.1221, 0.,0./)
AO(1:nei,2)=
| (/.0797,.0211,.0215,.3400,.0657,1.110,3.480, 0.00, 0.,0./)
AO(1:nei,3)=
| (/2.770,.1140,.1790,.0999,.8760,.6010,1.890,1.350, 0.,0./)
OMEG(1:nei,1)=
| (/1.00, 1.00, 3.00, 0.75, 3.00, 0.85, 0.75, 0.75, 0.,0./)
OMEG(1:nei,2)=
| (/2.00, 2.00, 1.15, 0.75, 0.75, 0.75, 7.00, 0.00, 0.,0./)
OMEG(1:nei,3)=
| (/3.00, 3.00, 3.00, 1.00, 0.75, 0.75, 0.75, 8.00, 0.,0./)
ANU(1:nei,1)=
| (/2.00, 1.04, 2.53, 0.54, 2.43, 2.87, 0.93, 0.72, 0.,0./)
ANU(1:nei,2)=
| (/6.18, 4.14, 1.00, 1.05, 1.60, 3.00,10.87, 0.00, 0.,0./)
ANU(1:nei,3)=
| (/4.53, 4.78, 4.32, 4.05, 1.47, 1.27, 3.00, 1.58, 0.,0./)
BB(1:nei,1)=
| (/1.00, 0.50, 1.02, 0.01, 4.19, 4.88, 0.66, 0.17, 0.,0./)
BB(1:nei,2)=
| (/0.53, 0.51, 0.98, 0.99, 1.86, 1.00, 1.00, 0.00, 0.,0./)
BB(1:nei,3)=
| (/1.42, 3.54,12.70, 5.20, 0.86, 0.45, 1.00, 1.00, 0.,0./)
AUTO(1:nei,1) = (/0.,0.,0.,0.,0.,0.,0.,0.,0.,0./)
AUTO(1:nei,2) = (/0.,0.,0.,0.,0.,0.,0.,0.,0.,0./)
AUTO(1:nei,3) = (/0.,0.,0.,0.,0.,0.,0.,0.,0.,0./)
THI(1:nei,1)=
| (/13.60,16.90,18.50, 0.00, 0.00, 0.00, 0.00, 0.,0.,0./)
THI(1:nei,2)=
| (/12.10,16.10,16.90,18.20,20.00,23.00,37.00, 0.,0.,0./)
THI(1:nei,3)=
| (/15.58,16.73,18.75,22.00,23.60,40.00, 0.00, 0.,0.,0./)
AK(1:nei,1)=
| (/ 1.13, 1.25, 0.67, 0.00, 0.00, 0.00, 0.00, 0.,0.,0./)
AK(1:nei,2)=
| (/0.47, 1.13, 1.13, 1.01, 0.65, 0.95, 0.59, 0.,0.,0./)
AK(1:nei,3)=
| (/2.42, 1.06, 0.55, 0.37, 0.37, 0.53, 0.00, 0.,0.,0./)
AJ(1:nei,1)=
| (/1.81, 1.79, 1.78, 0.00, 0.00, 0.00, 0.00, 0.,0.,0./)
AJ(1:nei,2)=
| (/3.76, 3.76, 3.76, 3.76, 3.76, 3.76, 3.76, 0.,0.,0./)
AJ(1:nei,3)=
| (/1.74, 1.74, 1.74, 1.74, 1.74, 1.74, 0.00, 0.,0.,0./)
TS(1:nei,1)=
| (/6.41, 6.41, 6.41, 0.00, 0.00, 0.00, 0.00, 0.,0.,0./)
TS(1:nei,2)=
| (/1.86, 1.86, 1.86, 1.86, 1.86, 1.86, 1.86, 0.,0.,0./)
TS(1:nei,3)=
| (/4.71, 4.71, 4.71, 4.71, 4.71, 4.71, 0.00, 0.,0.,0./)
TA(1:nei,1)=
| (/3450.,3450.,3450., 0., 0., 0., 0., 0.,0.,0./)
TA(1:nei,2)=
| (/1000.,1000.,1000.,1000.,1000.,1000.,1000., 0.,0.,0./)
TA(1:nei,3)=
| (/1000.,1000.,1000.,1000.,1000.,1000., 0., 0.,0.,0./)
TB(1:nei,1)=
| (/162.00,162.0,162.0, 0.00, 0.00, 0.00, 0.00, 0.,0.,0./)
TB(1:nei,2)=
| (/24.20,32.20,33.80,36.40,40.60,46.00,74.00, 0.,0.,0./)
TB(1:nei,3)=
| (/31.16,33.46,37.50,44.00,47.20,80.00, 0.00, 0.,0.,0./)
GAMS(1:nei,1)=
| (/13.00,13.0,13.00, 0.00, 0.00, 0.00, 0.00, 0.,0.,0./)
GAMS(1:nei,2)=
| (/18.50,18.5,18.50,18.50,18.50,18.50,18.50, 0.,0.,0./)
GAMS(1:nei,3)=
| (/13.80,13.8,13.80,13.80,13.80,13.80, 0.00, 0.,0.,0./)
GAMB(1:nei,1)=
| (/-.815,-.815,-.815,0.00, 0.00, 0.00, 0.00, 0.,0.,0./)
GAMB(1:nei,2)=
| (/12.10,16.10,16.90,18.2,20.30,23.00,37.00, 0.,0.,0./)
GAMB(1:nei,3)=
| (/15.58,16.73,18.75,22.0,23.60,40.00, 0.00, 0.,0.,0./)
EC(1:31,1) = (/
| 1.00, 2.00, 4.00, 6.00, 8.00,
| 10.00, 12.00, 14.00, 16.00, 18.00,
| 20.00, 30.00, 40.00, 50.00, 60.00,
| 70.00, 80.00, 90.00, 100.00, 150.00,
| 200.00, 300.00, 500.00, 1000.00, 2000.00,
| 3000.00, 5000.00, 10000.00, 20000.00, 40000.00,
| 50000.00/)
EC(1:31,2) = (/
| 1.00, 2.00, 3.00, 5.00, 7.00,
| 10.00, 15.00, 20.00, 30.00, 40.00,
| 50.00, 70.00, 100.00, 150.00, 200.00,
| 300.00, 400.00, 500.00, 600.00, 700.00,
| 1000.00, 2000.00, 3000.00, 5000.00, 10000.00,
| 20000.00, 40000.00, 50000.00, 0.00, 0.00,
| 0.00/)
EC(1:31,3) = (/
| 1.00, 2.00, 2.50, 3.00, 4.00,
| 5.00, 6.00, 8.00, 10.00, 15.00,
| 20.00, 30.00, 40.00, 50.00, 70.00,
| 100.00, 200.00, 300.00, 500.00, 700.00,
| 1000.00, 2000.00, 3000.00, 5000.00, 10000.00,
| 20000.00, 40000.00, 50000.00, 0.00, 0.00, 0.0/)
CC(1:31,1) = (/
| 5.00E-16, 6.00E-16, 7.50E-16, 7.60E-16, 7.70E-16,
| 7.80E-16, 7.50E-16, 7.20E-16, 6.90E-16, 6.70E-16,
| 6.50E-16, 5.60E-16, 4.60E-16, 4.00E-16, 3.50E-16,
| 3.20E-16, 2.90E-16, 2.70E-16, 2.50E-16, 1.90E-16,
| 1.50E-16, 1.20E-16, 8.00E-17, 5.00E-17, 3.02E-17,
| 1.99E-17, 1.20E-17, 6.08E-18, 3.06E-18, 1.55E-18,
| 1.24E-18/)
CC(1:31,2) = (/
| 5.50E-16, 6.90E-16, 7.50E-16, 8.50E-16, 9.60E-16,
| 1.00E-15, 1.00E-15, 9.00E-16, 8.30E-16, 7.70E-16,
| 6.90E-16, 5.70E-16, 4.40E-16, 3.30E-16, 2.70E-16,
| 2.10E-16, 1.80E-16, 1.60E-16, 1.40E-16, 1.30E-16,
| 1.10E-16, 7.00E-17, 5.00E-17, 3.00E-17, 1.53E-17,
| 7.72E-18, 3.90E-18, 3.13E-18, 0.00E+00, 0.00E+00,
| 0.00E+00/)
CC(1:31,3) = (/
| 9.00E-16, 2.27E-15, 2.52E-15, 1.93E-15, 1.32E-15,
| 1.15E-15, 1.16E-15, 1.17E-15, 1.18E-15, 1.14E-15,
| 1.13E-15, 9.50E-16, 8.60E-16, 7.30E-16, 5.90E-16,
| 4.70E-16, 3.30E-16, 2.50E-16, 1.60E-16, 1.30E-16,
| 1.10E-16, 6.35E-17, 4.18E-17, 2.54E-17, 1.28E-17,
| 6.44E-18, 3.27E-18, 2.62E-18, 0.00E+00, 0.00E+00, 0.0/)
CE(1:31,1) = (/
| 0.50000, 0.49500, 0.46800, 0.43600, 0.42000,
| 0.40500, 0.37000, 0.36000, 0.34000, 0.33000,
| 0.32000, 0.27000, 0.24000, 0.22000, 0.20000,
| 0.18000, 0.17000, 0.16000, 0.15000, 0.13000,
| 0.11500, 0.09000, 0.06800, 0.04600, 0.02400,
| 0.01660, 0.01000, 0.00510, 0.00255, 0.00125,
| 0.00100/)
CE(1:31,2) = (/
| 0.50000, 0.50000, 0.49000, 0.44500, 0.42700,
| 0.40500, 0.36800, 0.34300, 0.31600, 0.28900,
| 0.25800, 0.22000, 0.18400, 0.16400, 0.13300,
| 0.11000, 0.10000, 0.09200, 0.08500, 0.08000,
| 0.06800, 0.03700, 0.02600, 0.01600, 0.00800,
| 0.00400, 0.00200, 0.00160, 0.00000, 0.00000,
| 0.00000/)
CE(1:31,3) = (/
| 0.50000, 0.50000, 0.50000, 0.49000, 0.46800,
| 0.44500, 0.43600, 0.42000, 0.40500, 0.36800,
| 0.34300, 0.31600, 0.28900, 0.25800, 0.22000,
| 0.18400, 0.14000, 0.11000, 0.08400, 0.07400,
| 0.06300, 0.03400, 0.02400, 0.01500, 0.00740,
| 0.00370, 0.00180, 0.00140, 0.00000, 0.00000, 0.0/)
CI(1:31,1) = (/
| 0.60000, 0.60000, 0.60000, 0.60000, 0.60000,
| 0.60000, 0.55000, 0.46000, 0.40000, 0.36000,
| 0.32000, 0.22000, 0.15000, 0.10000, 0.08200,
| 0.07000, 0.06100, 0.05400, 0.05000, 0.04400,
| 0.03800, 0.02800, 0.02000, 0.01050, 0.00600,
| 0.00400, 0.00250, 0.00130, 0.00060, 0.00030,
| 0.00025/)
CI(1:31,2) = (/
| 0.50000, 0.50000, 0.50000, 0.50000, 0.48000,
| 0.44000, 0.36000, 0.28000, 0.20000, 0.14000,
| 0.10000, 0.07000, 0.05000, 0.04600, 0.04300,
| 0.03700, 0.03200, 0.02800, 0.02400, 0.02100,
| 0.01600, 0.00900, 0.00620, 0.00400, 0.00200,
| 0.00100, 0.00050, 0.00040, 0.00000, 0.00000,
| 0.00000/)
CI(1:31,3) = (/
| 0.50000, 0.50000, 0.50000, 0.50000, 0.50000,
| 0.50000, 0.50000, 0.50000, 0.50000, 0.50000,
| 0.44000, 0.30000, 0.20000, 0.13000, 0.09000,
| 0.06000, 0.05000, 0.04200, 0.03200, 0.02500,
| 0.02000, 0.01100, 0.00800, 0.00500, 0.00250,
| 0.00120, 0.00060, 0.00050, 0.00000, 0.00000, 0.0/)
C
C
C Interpolate elastic cross sections and backscatter ratios:
C
DO 90 IJ=1,NMAJ
DO 80 IV=1,NBINS
EX=ENER(IV)
DO 50 II=1,NUM(IJ)
IF (EC(II,IJ) .GT. EX) GOTO 60
50 CONTINUE
SIGS(IJ,IV)=CC(NUM(IJ),IJ)*(EC(NUM(IJ),IJ)/EX)**0.8
IF(IJ.EQ.1) SIGS(IJ,IV)=CC(NUM(IJ),IJ)*(EC(NUM(IJ),IJ)/EX)**2
PE(IJ,IV) = CE(NUM(IJ),IJ)* (EC(NUM(IJ),IJ)/EX)
PIN(IJ,IV) = CI(NUM(IJ),IJ)* (EC(NUM(IJ),IJ)/EX)
GOTO 80
60 I=II-1
IF (I .LE. 0) THEN
SIGS(IJ,IV)=CC(II,IJ)
PE(IJ,IV)=CE(II,IJ)
PIN(IJ,IV)=CI(II,IJ)
ELSE
FAC = ALOG (EX/EC(I,IJ)) / ALOG (EC(II,IJ)/EC(I,IJ))
SIGS(IJ,IV) = EXP (ALOG (CC(I,IJ))
> + ALOG (CC(II,IJ)/CC(I,IJ)) * FAC)
PE(IJ,IV) = EXP (ALOG (CE(I,IJ))
> + ALOG (CE(II,IJ)/CE(I,IJ)) * FAC)
PIN(IJ,IV) = EXP (ALOG (CI(I,IJ))
> + ALOG (CI(II,IJ)/CI(I,IJ)) * FAC)
ENDIF
80 CONTINUE
90 CONTINUE
C
C
C Calculate electron impact excitation and ionization cross sections:
C
DO 140 I=1,NMAJ
DO 140 K=1,NEI
DO 140 J=1,NBINS
IF (ENER(J).GT.WW(K,I) .AND. WW(K,I).GT.0.001) THEN
WE = WW(K,I) / ENER(J)
SIGEX(K,I,J) = QQN * AO(K,I)
> * (WE**OMEG(K,I) / WW(K,I)**2)
> * (1.0 - WE**BB(K,I)) ** ANU(K,I)
IF (SIGEX(K,I,J) .LT. 1.E-30) SIGEX(K,I,J) = 0.0
ELSE
SIGEX(K,I,J) = 0.0
ENDIF
IF (ENER(J).GT.THI(K,I) .AND. THI(K,I).GT.0.001) THEN
AE = AK(K,I)/ENER(J) * ALOG(ENER(J)/AJ(K,I))
GAMMA = GAMS(K,I) * ENER(J) / (ENER(J)+GAMB(K,I))
T0 = TS(K,I) - (TA(K,I)/(ENER(J)+TB(K,I)))
SIGIX(K,I,J) = 1.E-16 * AE * GAMMA
> * ( ATAN(((ENER(J)-THI(K,I))/2.-T0)/GAMMA)
> +ATAN(T0/GAMMA) )
IF (SIGIX(K,I,J) .LT. 1.E-30) SIGIX(K,I,J) = 0.0
ELSE
SIGIX(K,I,J) = 0.0
ENDIF
140 CONTINUE
C
C
C Obtain high-energy correction factors:
C
CALL HEXC(ENER,SIGIX,RATIO)
DO 142 J=1,NBINS
DO 142 I=1,NMAJ
DO 142 K=1,NEI
SIGIX(K,I,J)=SIGIX(K,I,J)/RATIO(J)
142 CONTINUE
C
C
C Zero energy loss xsect and secondary production xsect arrays:
C
DO 145 I1=1,NMAJ
DO 145 I2=1,NBINS
DO 145 I3=1,NBINS
SIGA(I1,I2,I3)=0.0
SEC(I1,I2,I3)=0.0
145 CONTINUE
C
C
C Loop over energy:
C
DO 500 JY=1,NBINS
C
KUK=0
KUK1=0
ETJ=ENER(JY)
DETJ=DEL(JY)
C
C
C Loop over species:
C
DO 400 I=1,NMAJ
C
C
C Loop over excited states:
C
DO 200 J=1,NNN(I)
C
C
C Calculate energy loss from JY to J-K for each species.
C The cross secton is divided proportionally between bin INV and bin
C INV-1, the two bins closest to J-K:
C
SIGG = SIGEX(J,I,JY)
ETA = ETJ - WW(J,I)
IF (ETA .GT. 0.) THEN
IE = INV (ETA,JY,ENER)
IEE = IE - 1
IF (IEE .LT. 1) IEE=IE
K = JY - IE
KK = JY - IEE
IF (KK .GE. KUK) KUK = KK
IF (IE .EQ. JY) THEN
IF (JY .EQ. 1) THEN
SIGA(I,1,JY) = SIGA(I,1,JY) + SIGG
ELSE
SIGA(I,1,JY) = SIGA(I,1,JY) + SIGG * (DETJ/DEL(JY-1))
> * WW(J,I) / (ENER(JY)-ENER(JY-1))
ENDIF
ELSE
IF (IE .EQ. 1) THEN
C SIGA(I,K,JY) = SIGA(I,K,JY) + SIGG * 2.*ETA*DETJ/DEL(1)**2
SIGA(I,K,JY) = SIGA(I,K,JY) + SIGG * DETJ/DEL(1)
ELSE
FF = (ENER(IE)-ETA) / (ENER(IE)-ENER(IEE))
FF = 1.0 - ABS(FF)
SIGA(I,K,JY) = SIGA(I,K,JY) + SIGG * FF * DETJ/DEL(IE)
SIGA(I,KK,JY)= SIGA(I,KK,JY) + SIGG * (1.0-FF)*DETJ/DEL(IEE)
ENDIF
WAG=WW(J,I)-THI(1,I)
IF (WAG .GT. 0. .AND. AUTO(J,I) .GT. 0.) THEN
IBZ = INV (WAG,JY,ENER)
SEC(I,IBZ,JY) = SEC(I,IBZ,JY)+SIGG*(DETJ/DEL(IBZ))*AUTO(J,I)
IF(IBZ.GE.KUK1)KUK1=IBZ
ENDIF
ENDIF
ENDIF
200 CONTINUE
C
C
C Loop over ion states:
C
DO 300 ML=1,NINN(I)
C
DO 210 II=1,NBINS
SIGI(II) = 0.0
T12(II) = 0.0
210 CONTINUE
C
C
C Calculate cross-section for production of secondaries into each
C bin from 1 to ITMAX and store in SIGI(II). Apply relativistic correction.
C Also store the average energy of the secondaries in T12(II):
C
WAG = THI(ML,I)
TMAX = (ETJ-WAG) / 2.
if (tmax .gt. 1.e6) tmax=1.e6
IF (TMAX .LE. 0.) GOTO 300
ITMAX = INV (TMAX,JY,ENER)
IF (ITMAX .GE. KUK1) KUK1 = ITMAX + 1
TMT = ENER(1) + DEL(1) / 2.0
IF (TMAX .LT. TMT) TMT = TMAX
SIGI(1) = SIGION(I,ML,ETJ,0.0,TMT,T12(1)) / RATIO(JY)
TMT = ENER(1) + DEL(1) / 2.
IF (TMAX .GT. TMT) THEN
IF (TMAX .LE. ENER(2)) ITMAX = 2
DO 220 II=2,ITMAX
E1 = ENER(II) - DEL(II) / 2.
E2 = E1 + DEL(II)
IF (E2 .GT. TMAX) E2 = TMAX
IF(E1 .LE. E2)SIGI(II)=SIGION(I,ML,ETJ,E1,E2,T12(II))/RATIO(JY)
220 CONTINUE
ENDIF
C
C
C Add the secondary production cross-section to SEC; calculate
C the ionization energy loss cross-section and add to SIGA:
C
DO 250 II=1,ITMAX
SEC(I,II,JY) = SEC(I,II,JY) + SIGI(II) * DETJ / DEL(II)
WTH1 = T12(II) + WAG
ETA = ETJ - WTH1
IF (ETA .GT. 0.) THEN
IE = INV (ETA,JY,ENER)
IEE = IE - 1
K = JY - IE
KK = JY - IEE
IF (IEE .LT. 1) IEE = IE
IF (IE .EQ. JY) THEN
SIGA(I,1,JY) = SIGA(I,1,JY) + SIGI(II) * (DETJ/DEL(JY-1))
> * WTH1 / (ENER(JY)-ENER(JY-1))
ELSE
IF (KK .GE. KUK) KUK = KK
IF (IE .EQ. 1) THEN
C SIGA(I,K,JY) = SIGA(I,K,JY)+2.*ETA*SIGI(II)*DETJ/DEL(1)**2
SIGA(I,K,JY) = SIGA(I,K,JY)+SIGI(II)*DETJ/DEL(1)
ELSE
FF = (ENER(IE)-ETA) / (ENER(IE)-ENER(IEE))
FF = 1.0 - ABS(FF)
SIGA(I,K,JY) = SIGA(I,K,JY) + FF*SIGI(II)*DETJ/DEL(IE)
SIGA(I,KK,JY)=SIGA(I,KK,JY)+(1.0-FF)*SIGI(II)*DETJ/DEL(IEE)
ENDIF
ENDIF
ENDIF
C
250 CONTINUE
C
300 CONTINUE
C
400 CONTINUE
C
IIMAXX(JY) = KUK1
C
500 CONTINUE
C
RETURN
END SUBROUTINE EXSECT
C
!-----------------------------------------------------------------------
C
C Function SIGION calculates ionization cross section for species I,
C state ML, primary energy E, secondary energy from E1 to E2
C
real FUNCTION SIGION(I,ML,E,E1,E2,T12)
use cglow,only: THI,AK,AJ,TS,TA,TB,GAMS,GAMB ! /CXPARS/
implicit none
C
integer,intent(in) :: i,ml
real,intent(in) :: E,E1
real,intent(out) :: T12
real,intent(inout) :: E2
C
DOUBLE PRECISION ABB, ABC, ABD
real :: QQ
DATA QQ/1.E-16/
real :: AK1,AJ1,TS1,TA1,TB1,GAMS1,GAMB1,S,A,TZ,GG,TTL,AL2,AL1,
| TTL1
C
C
IF (E .LE. THI(ML,I)) GOTO 30
C
AK1=AK(ML,I)
AJ1=AJ(ML,I)
TS1=TS(ML,I)
TA1=TA(ML,I)
TB1=TB(ML,I)
GAMS1=GAMS(ML,I)
GAMB1=GAMB(ML,I)
S=QQ*AK1*ALOG(E/AJ1)
A=S/E
TZ=TS1-TA1/(E+TB1)
GG=(GAMS1*E)/(E+GAMB1)
TTL=(E-THI(ML,I))/2.0
TTL1=TTL-0.01
IF(E1.GE.TTL1)GO TO 30
IF(E2.GE.TTL)E2=TTL
ABB=(E2-TZ)/GG
ABC=(E1-TZ)/GG
AL2=GG*GG*(ABB*ABB+1.0)
AL1=GG*GG*(ABC*ABC+1.0)
ABD=DATAN(ABB)-DATAN(ABC)
T12=TZ+0.5*GG*(ALOG(AL2)-ALOG(AL1))/ABD
SIGION=A*GG*ABD
RETURN
C
30 SIGION=0.0
RETURN
C
END FUNCTION SIGION
C
!-----------------------------------------------------------------------
C
C Function INV finds the bin number closest to energy ETA on grid ENER.
C Bin INV or INV-1 will contain ETA.
C
INTEGER FUNCTION INV (ETA, JY, ENER)
use cglow,only: NBINS
implicit none
C
real,intent(in) :: ETA,ENER(NBINS)
integer,intent(in) :: JY
C
integer :: iv
C
IF (ETA .LT. 0.) THEN
INV = -1
ELSE
DO 30 IV=1,JY
IF (ETA .LE. ENER(IV)) GOTO 40
30 CONTINUE
IV = JY
40 INV = IV
ENDIF
C
RETURN
END FUNCTION INV
C
!-----------------------------------------------------------------------
C
C Subroutine HEXC
C
C High Energy Cross Section Correction
C Calculates ratio of low energy (non-relativistic) to high energy
C (relativistic) ionization cross sections, based on N2.
C Extends to 1 GeV.
C
C Originally coded by Ann Windnagel, 11/98
C Re-written by Stan Solomon, 2/99
C Re-designed with table lookup, SCS, 4/99
C Updated comments, SCS, 4/02
C References:
C Porter et al., J. Chem. Phys., 65, 154, 1976.
C Rieke and Prepejchal, Phys. Rev. A, 6, 1507, 1990.
C Saksena et al., Int. Jour. of Mass Spec. & Ion Proc., 171, L1, 1997.
SUBROUTINE HEXC(ENER,SIGIX,RATIO)
use cglow,only: NEI,NMAJ,NBINS
implicit none
C
real,intent(in) :: ENER(NBINS),SIGIX(NEI,NMAJ,NBINS)
real,intent(out) :: RATIO(NBINS)
C
real :: TOTX(NBINS), TOTNEW(NBINS), EGR(13), SGR(13)
DATA EGR/1.E4, 2.E4, 5.E4, 1.E5, 2.E5,
> 3.E5, 5.E5, 1.E6, 2.E6, 5.E6,
> 1.E7, 1.E8, 1.E9/
DATA SGR/1.20E-17, 7.03E-18, 3.37E-18, 1.96E-18, 1.26E-18,
> 1.05E-18, 9.50E-19, 9.00E-19, 9.00E-19, 9.40E-19,
> 1.00E-18, 1.26E-18, 1.59E-18/
integer :: k,i,kg
real,external :: TERPOO
C Calculate total low-energy cross section for N2:
DO 20 K = 1,NBINS
TOTX(K) = 0.
DO 20 I = 1,NEI
TOTX(K) = TOTX(K) + SIGIX(I,3,K)
20 CONTINUE
C Calculate high-energy cross section for N2, using tabulated values:
DO 70 K=1,NBINS
IF (ENER(K) .GE. EGR(1)) THEN
DO 60 KG=1,12
IF (ENER(K) .GE. EGR(KG) .AND. ENER(K) .LT. EGR(KG+1))
> TOTNEW(K)=TERPOO(ENER(K),EGR(KG),EGR(KG+1),SGR(KG),SGR(KG+1))
60 CONTINUE
ELSE
TOTNEW(K)=TOTX(K)
ENDIF
70 CONTINUE
C Calculate ratio (=1 < 10 keV):
DO 90 K = 1,NBINS
IF (ENER(K) .GE. EGR(1)) THEN
RATIO(K) = TOTX(K)/TOTNEW(K)
C IF (RATIO(K) .GT. 1.) RATIO(K) = 1.
ELSE
RATIO(K) = 1.
ENDIF
90 CONTINUE
RETURN
END SUBROUTINE HEXC
!-----------------------------------------------------------------------
REAL FUNCTION TERPOO(X,X1,X2,Y1,Y2)
implicit none
real,intent(in) :: x,x1,x2,y1,y2
TERPOO = EXP ( ALOG(Y1) + ALOG(X/X1)*ALOG(Y2/Y1)/ALOG(X2/X1) )
RETURN
END FUNCTION TERPOO