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c******************************************************************************
c The subroutines needed to calculate the H I b-f, H I f-f, H- b-f, and
c H- f-f opacities are in this file. These are from ATLAS9.
c******************************************************************************
subroutine opacH1
c******************************************************************************
c This routine computes the H- bound-free and free-free opacities.
c It returns the cross-section times the number density of H- particles.
c******************************************************************************
implicit real*8 (a-h,o-z)
include 'Atmos.com'
include 'Kappa.com'
include 'Mol.com'
real*8 cont(8), bolt(100,8), exlim(100), freet(100), boltex(100)
save
data modcount/0/
c set up some data upon first entrance with a new model atmosphere
if (modelnum .ne. modcount) then
modcount = modelnum
do i=1,ntau
do n=1,8
xn2 = dfloat(n*n)
bolt(i,n) = dexp(-13.595*(1.-1./xn2)/tkev(i))*2.*
. xn2*numdens(1,1,i)/u(1,1,i)
enddo
freet(i) = ne(i)*numdens(1,2,i)/u(1,2,i)/dsqrt(t(i))
xr = numdens(1,1,i)/u(1,1,i)*(2./2./13.595)*tkev(i)
boltex(i) = dexp(-13.427/tkev(i))*xr
exlim(i) = dexp(-13.595/tkev(i))*xr
enddo
endif
do n=1,8
cont(n) = coulx(n,freq,1.d0)
enddo
freq3 = freq**3
cfree = 3.6919d8/freq3
c = 2.815d29/freq3
do i=1,ntau
ex = boltex(i)
if (freq .lt. 4.05933d13) ex = exlim(i)/evhkt(i)
h = (cont(7)*bolt(i,7) + cont8*bolt(i,8) +
. (ex - exlim(i))*c +
. coulff(1,tlog(i),freq)*freet(i)*cfree)*(1.-evhkt(i))
do n=1,6
h = h + cont(n)*bolt(i,n)*(1.-evhkt(i))
enddo
aH1(i) = h
enddo
return
end
subroutine opacHminus
c******************************************************************************
c This routine computes the H- bound-free and free-free opacities.
c******************************************************************************
implicit real*8 (a-h,o-z)
include 'Atmos.com'
include 'Kappa.com'
real*8 wbf(85), bf(85), fflog(22,11), ff(11,22)
real*8 ffbeg(11,11), ffend(11,11), fftt(11), wfflog(22)
real*8 fftheta(100), thetaff(11), wavek(22)
real*8 xhmin(100)
equivalence (ff(1,1),ffbeg(1,1)), (ff(1,12),ffend(1,1))
save
c From Mathisen (1984), after Wishart (1979) and Broad & Reinhardt (1976)
data wbf/ 18.00, 19.60, 21.40, 23.60, 26.40, 29.80, 34.30,
. 40.40, 49.10, 62.60, 111.30, 112.10, 112.67, 112.95, 113.05,
. 113.10, 113.20, 113.23, 113.50, 114.40, 121.00, 139.00, 164.00,
. 175.00, 200.00, 225.00, 250.00, 275.00, 300.00, 325.00, 350.00,
. 375.00, 400.00, 425.00, 450.00, 475.00, 500.00, 525.00, 550.00,
. 575.00, 600.00, 625.00, 650.00, 675.00, 700.00, 725.00, 750.00,
. 775.00, 800.00, 825.00, 850.00, 875.00, 900.00, 925.00, 950.00,
. 975.00,1000.00,1025.00,1050.00,1075.00,1100.00,1125.00,1150.00,
. 1175.00,1200.00,1225.00,1250.00,1275.00,1300.00,1325.00,1350.00,
. 1375.00,1400.00,1425.00,1450.00,1475.00,1500.00,1525.00,1550.00,
. 1575.00,1600.00,1610.00,1620.00,1630.00,1643.91/
data bf/ 0.067, 0.088, 0.117, 0.155, 0.206, 0.283, 0.414,
. 0.703, 1.24, 2.33, 11.60, 13.90, 24.30, 66.70, 95.00,
. 56.60, 20.00, 14.60, 8.50, 7.10, 5.43, 5.91, 7.29,
. 7.918, 9.453, 11.08, 12.75, 14.46, 16.19, 17.92, 19.65,
. 21.35, 23.02, 24.65, 26.24, 27.77, 29.23, 30.62, 31.94,
. 33.17, 34.32, 35.37, 36.32, 37.17, 37.91, 38.54, 39.07,
. 39.48, 39.77, 39.95, 40.01, 39.95, 39.77, 39.48, 39.06,
. 38.53, 37.89, 37.13, 36.25, 35.28, 34.19, 33.01, 31.72,
. 30.34, 28.87, 27.33, 25.71, 24.02, 22.26, 20.46, 18.62,
. 16.74, 14.85, 12.95, 11.07, 9.211, 7.407, 5.677, 4.052,
. 2.575, 1.302, 0.8697, 0.4974, 0.1989, 0. /
C Bell and Berrington (1987, J.Phys.B, 20, 801-806)
data wavek/ .50,.40,.35,.30,.25,.20,.18,.16,.14,.12,.10,.09,.08,
. .07,.06,.05,.04,.03,.02,.01,.008,.006/
data thetaff/
. 0.5, 0.6, 0.8, 1.0, 1.2, 1.4, 1.6, 1.8, 2.0, 2.8, 3.6/
data ffbeg/
..0178,.0222,.0308,.0402,.0498,.0596,.0695,.0795,.0896, .131, .172, 1823
..0228,.0280,.0388,.0499,.0614,.0732,.0851,.0972, .110, .160, .211, 2278
..0277,.0342,.0476,.0615,.0760,.0908, .105, .121, .136, .199, .262, 2604
..0364,.0447,.0616,.0789,.0966, .114, .132, .150, .169, .243, .318, 3038
..0520,.0633,.0859, .108, .131, .154, .178, .201, .225, .321, .418, 3645
..0791,.0959, .129, .161, .194, .227, .260, .293, .327, .463, .602, 4557
..0965, .117, .157, .195, .234, .272, .311, .351, .390, .549, .711, 5063
. .121, .146, .195, .241, .288, .334, .381, .428, .475, .667, .861, 5696
. .154, .188, .249, .309, .367, .424, .482, .539, .597, .830, 1.07, 6510
. .208, .250, .332, .409, .484, .557, .630, .702, .774, 1.06, 1.36, 7595
. .293, .354, .468, .576, .677, .777, .874, .969, 1.06, 1.45, 1.83/ 9113
data ffend/
. .358, .432, .572, .702, .825, .943, 1.06, 1.17, 1.28, 1.73, 2.17, 10126
. .448, .539, .711, .871, 1.02, 1.16, 1.29, 1.43, 1.57, 2.09, 2.60, 11392
. .579, .699, .924, 1.13, 1.33, 1.51, 1.69, 1.86, 2.02, 2.67, 3.31, 13019
. .781, .940, 1.24, 1.52, 1.78, 2.02, 2.26, 2.48, 2.69, 3.52, 4.31, 15189
. 1.11, 1.34, 1.77, 2.17, 2.53, 2.87, 3.20, 3.51, 3.80, 4.92, 5.97, 18227
. 1.73, 2.08, 2.74, 3.37, 3.90, 4.50, 5.01, 5.50, 5.95, 7.59, 9.06, 22784
. 3.04, 3.65, 4.80, 5.86, 6.86, 7.79, 8.67, 9.50, 10.3, 13.2, 15.6, 30378
. 6.79, 8.16, 10.7, 13.1, 15.3, 17.4, 19.4, 21.2, 23.0, 29.5, 35.0, 45567
. 27.0, 32.4, 42.6, 51.9, 60.7, 68.9, 76.8, 84.2, 91.4, 117., 140., 91134
. 42.3, 50.6, 66.4, 80.8, 94.5, 107., 120., 131., 142., 183., 219., 113918
. 75.1, 90.0, 118., 144., 168., 191., 212., 234., 253., 325., 388./ 151890
data (xhmin(i),i=1,100)/100*0.0/
data modcount,istart/ 0,0/
c fill some arrays once and for all
if (istart .eq. 0) then
istart = 1
c 91.134 number taken from Bell & Berrington
do iwave=1,22
wfflog(iwave) = dlog(91.134d0/wavek(iwave))
do itheta=1,11
fflog(iwave,itheta) = dlog(ff(itheta,iwave)*1.d-26)
enddo
enddo
endif
c initialize some quantities for each new model atmosphere
c .754209 Hotop & Lineberger (1985, J. Phys. Chem. Ref. Data, 14,731-752)
if (modelnum .ne. modcount) then
modcount = modelnum
do i=1,ntau
xhmin(i) = dexp(.754209/tkev(i))/(2.*2.4148d15*t(i)**1.5)*
. numdens(1,1,i)/u(1,1,i)*ne(i)
enddo
endif
c main opacity computation yielding "aHminus"
wave = 2.99792458d17/freq
wavelog = dlog(wave)
do itheta=1,11
nnnn = 22
call linter (wfflog,fflog(1,itheta),nnnn,wavelog,fftlog,1)
fftt(itheta) = dexp(fftlog)/thetaff(itheta)*5040.*1.380658E-16
enddo
hminbf = 0.
nnnn = 85
if (freq .gt. 1.82365d14)
. maxwave = map1(wbf,bf,nnnn,wave,hminbf,1)
do i=1,ntau
nnnn = 11
call linter (thetaff,fftt,nnnn,theta(i),fftheta(i),1)
hminff = fftheta(i)*numdens(1,1,i)/u(1,1,i)*2.*ne(i)
h = hminbf*1.d-18*(1.-evhkt(i))*xhmin(i)
aHminus(i) = h + hminff
enddo
return
end
subroutine linter (xold,yold,nold,xnew,ynew,nnew)
c******************************************************************************
c this is a linear interpolation scheme. The arrays "xold" and "xnew"
c should be increasing order.
c******************************************************************************
implicit real*8 (a-h,o-z)
real*8 xold(*), yold(*), xnew(*), ynew(*)
iold = 2
do inew=1,nnew
1 if (xnew(inew).lt.xold(iold) .or. iold.eq.nold) then
ynew(inew) = yold(iold-1) + (yold(iold)-yold(iold-1))/
. (xold(iold)-xold(iold-1))*(xnew(inew)-xold(iold-1))
return
else
iold = iold + 1
go to 1
endif
enddo
end
integer function map1 (xold,fold,nold,xnew,fnew,nnew)
c******************************************************************************
c This is an interpolation scheme that is copied blindly from ATLAS.
c I decided that it would be too dangerous to re-write this one.
c******************************************************************************
implicit real*8 (a-h,o-z)
real*8 xold(*), fold(*), xnew(*), fnew(*)
l = 2
ll = 0
do 50 k=1,nnew
10 if(xnew(k) .lt. xold(l)) go to 20
l = l + 1
if (l .gt. nold) go to 30
go to 10
20 if (l .eq. ll) go to 50
if (l .eq. 2) go to 30
if (l .eq. 3) go to 30
l1 = l - 1
if (l.gt.ll+1 .or. l.eq.3) go to 21
if (l.gt.ll+1 .or. l.eq.4) go to 21
cbac = cfor
bbac = bfor
abac = afor
if (l .eq. nold) go to 22
go to 25
21 l2 = l - 2
d = (fold(l1)-fold(l2))/(xold(l1)-xold(l2))
cbac = fold(l)/((xold(l)-xold(l1))*(xold(l)-xold(l2)))+
. (fold(l2)/(xold(l)-xold(l2))-fold(l1)/(xold(l)-xold(l1)))/
. (xold(l1)-xold(l2))
bbac = d - (xold(l1)+xold(l2))*cbac
abac = fold(l2) - xold(l2)*d + xold(l1)*xold(l2)*cbac
if (l .lt. nold) go to 25
22 c = cbac
b = bbac
a = abac
ll = l
go to 50
25 d = (fold(l)-fold(l1))/(xold(l)-xold(l1))
cfor = fold(l+1)/((xold(l+1)-xold(l))*(xold(l+1)-xold(l1)))+
. (fold(l1)/(xold(l+1)-xold(l1))-fold(l)/(xold(l+1)-xold(l)))/
. (xold(L)-xold(l1))
bfor = d - (xold(l)+xold(l1))*cfor
afor = fold(l1) - xold(l1)*d + xold(l)*xold(l1)*cfor
wt = 0.
if (dabs(cfor) .ne. 0.) wt = dabs(cfor)/(dabs(cfor)+dabs(cbac))
a = afor + wt*(abac-afor)
b = bfor + wt*(bbac-bfor)
c = cfor + wt*(cbac-cfor)
ll = l
go to 50
30 if (l .eq. ll) go to 50
l = min0(nold,l)
c = 0.
b = (fold(l)-fold(l-1))/(xold(l)-xold(l-1))
a = fold(l) - xold(l)*b
ll = l
50 fnew(k)= a + (b + c*xnew(k))*xnew(k)
map1 = ll - 1
return
end
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