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Merge pull request #65 from hrosiak/conf2

config change
This commit is contained in:
Andrej Prochazka 2019-10-11 18:47:28 +02:00 committed by GitHub
commit 0bb0bda3de
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4 changed files with 72 additions and 378 deletions

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@ -9,7 +9,7 @@
#include "catima/generated_LS_coeff.h"
#include "catima/nucdata.h"
#include "catima/storage.h"
#include "catima/srim.h"
#include "catima/srim.h"
#ifdef GLOBAL
extern "C"
{
@ -35,11 +35,11 @@ double dedx_n(const Projectile &p, const Material &mat){
w = mat.weight_fraction(i);
sum += w*dedx_n(p,t);
}
return sum;
return sum;
}
double dedx_n(const Projectile &p, const Target &t){
double zpowers = pow(p.Z,0.23)+pow(t.Z,0.23);
double asum = p.A + t.A;
double epsilon = 32.53*t.A*1000*p.T*p.A/(p.Z*t.Z*asum*zpowers); //projectile energy is converted from MeV/u to keV
@ -69,7 +69,7 @@ double bethek_dedx_e(Projectile &p,const Material &mat, const Config &c){
w = mat.weight_fraction(i);
sum += w*bethek_dedx_e(p,t,c,mat.I());
}
return sum;
return sum;
}
double bethek_dedx_e(Projectile &p, const Target &t, const Config &c, double I){
@ -80,7 +80,7 @@ double bethek_dedx_e(Projectile &p, const Target &t, const Config &c, double I){
double gamma=1.0 + p.T/atomic_mass_unit;
double beta2=1.0-1.0/(gamma*gamma);
double beta = sqrt(beta2);
double zp_eff = z_effective(p,t,c);
double zp_eff = z_effective(p,t,c);
assert(zp_eff>=0);
double Ipot = (I>0.0)?I:ipot(t.Z);
assert(Ipot>0);
@ -91,21 +91,21 @@ double bethek_dedx_e(Projectile &p, const Target &t, const Config &c, double I){
if(!(c.corrections&corrections::no_shell_correction) && eta>=0.13){ //shell corrections
double cor = (+0.422377*pow(eta,-2)
+0.0304043*pow(eta,-4)
-0.00038106*pow(eta,-6))*1e-6*pow(Ipot,2)
+(+3.858019*pow(eta,-2)
-0.00038106*pow(eta,-6))*1e-6*pow(Ipot,2)
+(+3.858019*pow(eta,-2)
-0.1667989*(pow(eta,-4))
+0.00157955*(pow(eta,-6)))*1.0e-9*pow(Ipot,3);
+0.00157955*(pow(eta,-6)))*1.0e-9*pow(Ipot,3);
f2 = f2 -cor/t.Z;
}
f2+=2*log(gamma) -beta2;
double barkas=1.0;
if(!(c.corrections&corrections::no_barkas)){
barkas = bethek_barkas(zp_eff,eta,t.Z);
}
double delta = bethek_density_effect(beta, t.Z);
double LS = 0.0;
if(!(c.corrections&corrections::no_lindhard)){
//double LS = bethek_lindhard(p);
@ -118,7 +118,7 @@ double bethek_dedx_e(Projectile &p, const Target &t, const Config &c, double I){
result += pair_production(p,t);
result += bremsstrahlung(p,t);
}
return result;
}
@ -149,12 +149,12 @@ double bethek_density_effect(double beta, int zt){
double x = log(beta * gamma) / 2.3025851;
int i;
double del = 0;
if(zt>97){ // check if data are available, if not take highest z data
zt=97;
}
i = zt-1;
if (x < density_effect::x0[i] ){
if(density_effect::del_0[i] > 0.)del = density_effect::del_0[i] * pow(10.0,(2.*(x-density_effect::x0[i])));
}
@ -176,7 +176,7 @@ double bethek_lindhard(const Projectile &p){
double beta_gamma_R = beta*gamma*rho;
double sum = 0;
int n=1;
if(gamma < 10.0/rho){
double dk[3];
double dmk = 0;
@ -199,7 +199,7 @@ double bethek_lindhard(const Projectile &p){
std::complex<double> cpiske(0.0,(M_PI*(l-sk)/2.0) - lngamma(csketa).imag());
std::complex<double> cedr = cexir*std::exp(cpiske);
double H=0;
//std::complex<double> ceds(0.0,0.0);
// finite struct part
std::complex<double> cmsketa (-sk + 1.0, eta);
@ -215,10 +215,10 @@ double bethek_lindhard(const Projectile &p){
std::complex<double> clambda_s = cexis*std::exp(cmbeta_gamma_R)*hyperg(cmsketa,cm2sk_1,c2beta_gamma_R);
std::complex<double> cGrGs = lngamma(cm2sk_1);
double GrGs = clambda_r.imag()/clambda_s.imag();
GrGs *= exp( lngamma(csketa).real()
- lngamma(cmsketa).real()
GrGs *= exp( lngamma(csketa).real()
- lngamma(cmsketa).real()
- lngamma(c2sk_1).real()
+ cGrGs.real()
+ cGrGs.real()
+ 2.0*sk*log(2.0*beta_gamma_R));
if(cos(cGrGs.imag()) < 1.0)GrGs*=-1;
if(fabs(GrGs)>1.0e-9){
@ -247,16 +247,16 @@ double bethek_lindhard(const Projectile &p){
}
double figi= (k>0) ? asum/bsum : bsum/asum;
H = (FrGr - figi)/(figi-FsGs)* GrGs;
}
else
else
H = 0;
dk[i] = std::arg(cedr + H*ceds);
}
if(n>1)dk[2] = dmk;
double sdm2 = sin(dk[2]-dk[1]);
double term1 = k0*(k0+1.0)*sdm2*sdm2/(eta*eta*(2.0*k0 + 1.0));
if(n>1){
@ -270,13 +270,13 @@ double bethek_lindhard(const Projectile &p){
n += 1;
dmk = dk[1];
dkm1 = dk[0];
}// end of while n<100
}
else{ // ultrarelativistic limit
sum = -log(beta_gamma_R) - 0.2;
}
}
return sum + (0.5*beta2);
}
@ -290,14 +290,14 @@ double bethek_lindhard_X(const Projectile &p){
double beta_gamma_R = beta*gamma*rho;
double sum = 0;
int n=1;
if(1){
double dk[4];
double dmk = 0;
double dmkp1 = 0;
double dkm1 = 0;
double dkm2 = 0;
while(n<1000){
double k0 = n;
//int max = (n==1)?4:2;
@ -318,7 +318,7 @@ double bethek_lindhard_X(const Projectile &p){
std::complex<double> cpiske(0.0,(M_PI*(l-sk)/2.0) - lngamma(csketa).imag());
std::complex<double> cedr = cexir*std::exp(cpiske);
double H=0;
//std::complex<double> ceds(0.0,0.0);
// finite struct part
std::complex<double> cmsketa (-sk + 1.0, eta);
@ -334,10 +334,10 @@ double bethek_lindhard_X(const Projectile &p){
std::complex<double> clambda_s = cexis*std::exp(cmbeta_gamma_R)*hyperg(cmsketa,cm2sk_1,c2beta_gamma_R);
std::complex<double> cGrGs = lngamma(cm2sk_1);
double GrGs = clambda_r.imag()/clambda_s.imag();
GrGs *= exp( lngamma(csketa).real()
- lngamma(cmsketa).real()
GrGs *= exp( lngamma(csketa).real()
- lngamma(cmsketa).real()
- lngamma(c2sk_1).real()
+ cGrGs.real()
+ cGrGs.real()
+ 2.0*sk*log(2.0*beta_gamma_R));
if(cos(cGrGs.imag()) < 1.0)GrGs*=-1;
if(fabs(GrGs)>1.0e-9){
@ -366,38 +366,38 @@ double bethek_lindhard_X(const Projectile &p){
}
double figi= (k>0) ? asum/bsum : bsum/asum;
H = (FrGr - figi)/(figi-FsGs)* GrGs;
}
else
else
H = 0;
dk[i] = std::arg(cedr + H*ceds);
}
if(n>1)dk[2] = dmk;
double strterm1p = 0;
double strterm1n = 0;
double strterm2 = 0;
double strterm3 = 0;
double eta2 = eta*eta;
double sdm2 = sin(dk[0]-dkm2);
if(n>2){
strterm1p = sdm2*sdm2*(k0-1)*(k0-2)/((2.0*k0 - 1.0)*(2.0*k0-3.0));
}
sdm2 = sin(dk[2]-dk[3]);
strterm1n = sdm2*sdm2*(-k0-1)*(-k0-2)/((-2.0*k0 - 1.0)*(-2.0*k0-3.0));
if(n>1){
double sd2 = sin(dk[0]-dmkp1);
strterm2 += (k0-1.0)*sd2*sd2/((2.0*k0 - 3.0)*(4.0*k0*k0 - 1.0));
}
double sdd = sin(dk[0]-dk[1]);
strterm3 = sdd*sdd*(k0+1.0)*((1/(4.0*k0*k0 -1.0))+(1/(4*(k0+1.0)*(k0+1.0) - 1.0)))/(2.0*k0 + 1.0);
//sum += k0*(strterm1p + strterm1n + (strterm2*2) + strterm3)/eta2;
sum += k0*(strterm1p + strterm1n + (strterm2*2) + strterm3)/eta2;
sum += - (2.0/k0);
@ -407,12 +407,12 @@ double bethek_lindhard_X(const Projectile &p){
dkm2 = dkm1;
dkm1 = dk[0];
dmkp1 = dk[2];
}// end of while n<100
}
else{ // ultrarelativistic limit
}
double res = 2*bethek_lindhard(p) - sum - beta2;
return (res>=0)?res:0.0;
@ -447,7 +447,7 @@ double bremsstrahlung(const Projectile &p, const Target &t){
double sezi_dedx_e(const Projectile &p, const Material &mat, const Config &c){
double w;
double sum=0.0;
bool use95 = config_lowenergy(c) == low_energy_types::srim_95;
bool use95 = c.low_energy == low_energy_types::srim_95;
for(int i=0;i<mat.ncomponents();i++){
auto t = mat.get_element(i);
w = mat.weight_fraction(i);
@ -507,13 +507,13 @@ double radiation_length(int z, double m){
if(z==29){return 12.86;}
if(z==32){return 12.25;}
if(z==50){return 8.82;}
if(z==54){return 8.48;}
if(z==54){return 8.48;}
if(z==74){return 6.76;}
if(z==78){return 6.54;}
if(z==79){return 6.46;}
if(z==82){return 6.37;}
if(z==92){return 6.00;}
double z2 = z*z;
double z_13 = 1.0/pow(z,1./3.);
double z_23 = z_13*z_13;
@ -530,7 +530,7 @@ double precalculated_lindhard(const Projectile &p){
int z = (int)p.Z ;
if(z>LS_MAX_Z)z=LS_MAX_Z;
if(p.T<ls_coefficients::ls_energy_table(0))T=ls_coefficients::ls_energy_table(0);
double da = (p.A - element_atomic_weight(z))/element_atomic_weight(z);
z = z-1;
//catima::Interpolator ls_a(ls_coefficients::ls_energy_points,ls_coefficients::ls_coefficients_a[z],LS_NUM_ENERGY_POINTS,interpolation_t::linear);
@ -544,7 +544,7 @@ double precalculated_lindhard(const Projectile &p){
//return ls_a(T)+(dif*da/ls_coefficients::a_rel_increase);
double dif = v2 - v1;
return v1+(dif*da/ls_coefficients::a_rel_increase);
}
double precalculated_lindhard_X(const Projectile &p){
@ -556,12 +556,12 @@ double precalculated_lindhard_X(const Projectile &p){
return 1.0;
double da = (p.A - element_atomic_weight(z))/element_atomic_weight(z);
z = z-1;
//catima::Interpolator ls_X_a(ls_coefficients::ls_energy_table.values,ls_coefficients::ls_X_coefficients_a[z],LS_NUM_ENERGY_POINTS,interpolation_t::linear);
//catima::Interpolator ls_X_ahi(ls_coefficients::ls_energy_table.values,ls_coefficients::ls_X_coefficients_ahi[z],LS_NUM_ENERGY_POINTS,interpolation_t::linear);
double v1 = EnergyTable_interpolate(ls_coefficients::ls_energy_table,T,ls_coefficients::ls_X_coefficients_a[z]);
double v2 = EnergyTable_interpolate(ls_coefficients::ls_energy_table,T,ls_coefficients::ls_X_coefficients_ahi[z]);
//double dif = ls_X_ahi(T) - ls_X_a(T);
//return ls_X_a(T)+(dif*da/ls_coefficients::a_rel_increase);
double dif = v2 - v1;
@ -576,7 +576,7 @@ double dedx_variance(Projectile &p, Target &t, const Config &c){
double zp_eff = z_effective(p,t,c);
double f = domega2dx_constant*pow(zp_eff,2)*t.Z/t.A;
if(config_omega(c) == omega_types::atima){
if( (c.calculation == omega_types::atima) ){
cor = 24.89 * pow(t.Z,1.2324)/(electron_mass*1e6 * beta2)*
log( 2.0*electron_mass*1e6*beta2/(33.05*pow(t.Z,1.6364)));
cor = std::max(cor, 0.0 );
@ -603,7 +603,7 @@ double z_effective(const Projectile &p,const Target &t, const Config &c){
else if(c.z_effective == z_eff_type::anthony_landorf){
return z_eff_Anthony_Landford(p.Z, beta, t.Z);
}
else if(c.z_effective == z_eff_type::hubert){
return z_eff_Hubert(p.Z, p.T, t.Z);
}
@ -625,13 +625,13 @@ double z_effective(const Projectile &p,const Target &t, const Config &c){
}
double z_eff_Pierce_Blann(double z, double beta){
return z*(1.0-exp(-0.95*fine_structure_inverted*beta/pow(z,2.0/3.0)));
return z*(1.0-exp(-0.95*fine_structure_inverted*beta/pow(z,2.0/3.0)));
}
double z_eff_Anthony_Landford(double pz, double beta, double tz){
double B = 1.18-tz*(7.5e-03 - 4.53e-05*tz);
double A = 1.16-tz*(1.91e-03 - 1.26e-05*tz);
return pz*(1.0-(A*exp(-fine_structure_inverted*B*beta/pow(pz,2.0/3.0))));
return pz*(1.0-(A*exp(-fine_structure_inverted*B*beta/pow(pz,2.0/3.0))));
}
double z_eff_Hubert(double pz, double E, double tz){
@ -658,13 +658,13 @@ double z_eff_Hubert(double pz, double E, double tz){
x3 = 0.314 + 0.01072*lntz;
x4 = 0.5218 + 0.02521*lntz;
}
return pz*(1-x1*exp(-x2*catima::power(E,x3)*catima::power(pz,-x4)));
}
double z_eff_Winger(double pz, double beta, double tz){
double c0,c1,c2,c3,c4,c5,c6,c7,c8,c9,c10,c11,c12,c13;
double x, lnz, lnzt, a0,a1,a2,a3,a4;
double x, lnz, lnzt, a0,a1,a2,a3,a4;
c0 = 0.4662;
c1 = 0.5491;
@ -697,7 +697,7 @@ double z_eff_Winger(double pz, double beta, double tz){
a3 = -c10 * exp( c11*lnz - c12*lnz*lnz*lnz);
a4 = -c13;
return pz * (1. - exp(a0 +a1*x +a2*x*x +a3*x*x*x +a4*x*x*x*x));
return pz * (1. - exp(a0 +a1*x +a2*x*x +a3*x*x*x +a4*x*x*x*x));
}
double z_eff_global(double pz, double E, double tz){
@ -742,7 +742,7 @@ double z_eff_atima14(double pz, double T, double tz){
qglobal = z_eff_global(pz,T,tz);
qglobal = (qglobal - qpb)*c1/catima::power(tz+1,c2)*(1-exp(-c3*T)) + qpb;
}
emax = 1500.;
emin = 1000.;
if(T>emax){

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@ -3,9 +3,9 @@
#define CONFIG
#include <cstring>
namespace catima{
/**
* \enum z_eff_type
/**
* \enum z_eff_type
* enum to select formulat to calculate effective charge of the Projectile
*/
enum z_eff_type:unsigned char {
@ -30,7 +30,7 @@ namespace catima{
};
/**
* enum to select which dEdx straggling options
* enum to select dEdx straggling options
*/
enum omega_types:unsigned char{
atima = 0,
@ -38,7 +38,7 @@ namespace catima{
};
/**
* enum to select which how low energy part is calculated
* enum to select how low energy part is calculated
*/
enum low_energy_types:unsigned char{
srim_85 = 0,
@ -57,25 +57,10 @@ namespace catima{
unsigned char corrections = 0;
unsigned char calculation = 1;
unsigned char low_energy = 0;
};
inline void set_config_lowenergy(Config c, low_energy_types lt){
c.calculation = c.calculation & (lt<<2);
}
inline unsigned char config_lowenergy(const Config c){
return (c.calculation>>2) & 0x7;
}
inline void set_config_omega(Config c, omega_types ot){
c.calculation = c.calculation & ot;
}
inline unsigned char config_omega(const Config c){
return c.calculation & 0x3;
}
extern Config default_config;
}

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@ -4,22 +4,16 @@
#include "catima/build_config.h"
namespace catima {
// config
constexpr double Ezero = 1E-3; // lowest E to calculate, below taken as 0
constexpr double logEmin = -3; // log of minimum energy
constexpr double logEmax = 7.0; // log of max energy
constexpr int max_datapoints = 500; // how many datapoints between logEmin and logEmax
constexpr int max_storage_data = 60; // number of datapoints which can be stored in cache
constexpr double numeric_epsilon = std::numeric_limits<double>::epsilon();
/// required integration precision (relative units)
/*
constexpr double int_eps_range = 0.001;
constexpr double int_eps_range_str = 0.001;
constexpr double int_eps_ang_str = 0.01;
constexpr double int_eps_tof = 0.01;
*/
constexpr double numeric_epsilon = 10*std::numeric_limits<double>::epsilon();
constexpr double thin_target_limit = 1 - 1e-3;
#ifdef REACTIONS
constexpr double emin_reaction = 30.0;
constexpr bool reactions = true;
@ -27,6 +21,7 @@ constexpr bool reactions = true;
constexpr bool reactions = false;
#endif
// constants
constexpr double PI = 3.1415926535897932384626433832795;
constexpr double Avogadro = 6.022140857; // 10^23
constexpr double electron_mass = 0.510998928; // MeV/c^2

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@ -3,294 +3,8 @@
// this is taken from atima
namespace catima{
/*
constexpr double proton_stopping_coef[92][8] = { // proton in material stopping coefficient
{ .0091827, .0053496, .69741, .48493, 316.07,1.0143, 9329.3, .0539890}, //H
{ .11393, .0051984, 1.0822, .39252, 1081.0, 1.0645, 4068.5, .0176990}, //He
{ .85837, .0050147, 1.6044, .38844, 1337.3, 1.0470, 2659.2, .01898},
{ .8781, .0051049, 5.4232, .2032, 1200.6, 1.0211, 1401.8, .0385290},
{ 1.4608, .0048836, 2.338, .44249, 1801.3, 1.0352, 1784.1, .02024},
{ 3.2579, .0049148, 2.7156, .36473, 2092.2, 1.0291, 2643.6, .0182370}, //C
{ .59674, .0050837, 4.2073, .30612, 2394.2, 1.0255, 4892.1, .0160060},
{ .75253, .0050314, 4.0824, .30067, 2455.8, 1.0181, 5069.7, .0174260}, //O
{ 1.226, .0051385, 3.2246, .32703, 2525.0, 1.0142, 7563.6, .0194690},
{ 1.0332, .0051645, 3.004, .33889, 2338.6, .99997, 6991.2, .0217990}, //Ne
{ 6.0972, .0044292, 3.1929, .45763, 1363.3, .95182, 2380.6, .0818350},
{14.013, .0043646, 2.2641, .36326, 2187.4, .99098, 6264.8, .0462},
{ .039001, .0045415, 5.5463, .39562, 1589.2, .95316, 816.16, .0474840},
{ 2.072, .0044516, 3.5585, .53933, 1515.2, .93161, 1790.3, .0351980},
{17.575, .0038346, .078694, 1.2388,2806.0, .97284, 1037.6, .0128790},
{16.126, .0038315, .054164, 1.3104,2813.3, .96587, 1251.4, .0118470},
{ 3.217, .0044579, 3.6696, .5091, 2734.6, .96253, 2187.5, .0169070},
{ 2.0379, .0044775, 3.0743, .54773, 3505.0, .97575, 1714.00, .0117010},
{ .74171, .0043051, 1.1515, .95083, 917.21, .8782, 389.93, .18926},
{ 9.1316, .0043809, 5.4611, .31327, 3891.8, .97933, 6267.9, .0151960}, //Ca
{ 7.2247, .0043718, 6.1017, .37511, 2829.2, .95218, 6376.1, .0203980},
{ .147, .0048456, 6.3485, .41057, 2164.1, .94028, 5292.6, .0502630},
{ 5.0611, .0039867, 2.6174, .57957, 2218.9, .92361, 6323.00, .0256690},
{ .53267, .0042968, .39005, 1.2725, 1872.7, .90776, 64.166, .0301070},
{ .47697, .0043038, .31452, 1.3289, 1920.5, .90649, 45.576, .0274690},
{ .027426, .0035443, .031563, 2.1755, 1919.5, .90099, 23.902, .0253630},
{ .16383, .0043042, .073454, 1.8592, 1918.4, .89678, 27.61, .0231840},
{ 4.2562, .0043737, 1.5606, .72067, 1546.8, .87958, 302.02, .0409440}, //Ni
{ 2.3508, .0043237, 2.882, .50113, 1837.7, .89992, 2377.00, .04965},
{ 3.1095, .0038455, .11477, 1.5037, 2184.7, .89309, 67.306, .0165880},
{15.322, .0040306, .65391, .67668, 3001.7, .92484, 3344.2, .0163660},
{ 3.6932, .0044813, 8.608, .27638, 2982.7, .9276, 3166.6, .0308740},
{ 7.1373, .0043134, 9.4247, .27937, 2725.8, .91597, 3166.1, .0250080},
{ 4.8979, .0042937, 3.7793, .50004, 2824.5, .91028, 1282.4, .0170610},
{ 1.3683, .0043024, 2.5679, .60822, 6907.8, .9817, 628.01, .0068055},
{ 1.8301, .0042983, 2.9057, .6038, 4744.6, .94722, 936.64, .0092242},
{ .42056, .0041169, .01695, 2.3616, 2252.7, .89192, 39.752, .0277570},
{30.78, .0037736, .55813, .76816, 7113.2, .97697, 1604.4, .0065268},
{11.576, .0042119, 7.0244, .37764, 4713.5, .94264, 2493.2, .01127},
{ 6.2406, .0041916, 5.2701, .49453, 4234.6, .93232, 2063.9, .0118440},
{ .33073, .0041243, 1.7246, 1.1062, 1930.2, .86907, 27.416, .0382080},
{ .017747, .0041715, .14586, 1.7305,1803.6, .86315, 29.669, .0321230},
{ 3.7229, .0041768, 4.6286, .56769, 1678.0, .86202, 3094.00, .06244},
{ .13998, .0041329, .25573, 1.4241, 1919.3, .86326, 72.797, .0322350},
{ .2859, .0041386, .31301, 1.3424, 1954.8, .86175, 115.18, .0293420},
{ .76, .0042179, 3.386, .76285, 1867.4, .85805, 69.994, .0364480},
{ 6.3957, .0041935, 5.4689, .41378, 1712.6, .85397,18493.00, .0564710},
{ 3.4717, .0041344, 3.2337, .63788, 1116.4, .81959, 4766.0, .1179},
{ 2.5265, .0042282, 4.532, .53562, 1030.8, .81652,16252.0, .19722},
{ 7.3683, .0041007, 4.6791, .51428, 1160.0, .82454,17965.0, .13316},
{ 7.7197, .004388, 3.242, .68434, 1428.1, .83398, 1786.7, .0665120},
{16.78, .0041918, 9.3198, .29568, 3370.9, .90289, 7431.7, .02616},
{ 4.2132, .0042098, 4.6753, .57945, 3503.9, .89261, 1468.9, .0143590},
{ 4.0818, .004214, 4.4425, .58393, 3945.3, .90281, 1340.5, .0134140}, //Xe
{.18517, .0036215, .00058788,3.5315, 2931.3, .88936, 26.18, .0263930},
{ 4.8248, .0041458, 6.0934, .57026, 2300.1, .86359, 2980.7, .0386790},
{ .49857, .0041054, 1.9775, .95877, 786.55, .78509, 806.6, .40882},
{ 3.2754, .0042177, 5.768, .54054, 6631.3, .94282, 744.07, .0083026},
{ 2.9978, .0040901, 4.5299, .62025, 2161.2, .85669, 1268.6, .0430310},
{ 2.8701, .004096, 4.2568, .6138, 2130.4, .85235, 1704.1, .0393850},
{10.853, .0041149, 5.8907, .46834, 2857.2, .8755, 3654.2, .0299550},
{ 3.6407, .0041782, 4.8742, .57861, 1267.7, .82211, 3508.2, .24174},
{17.645, .0040992, 6.5855, .32734, 3931.3, .90754, 5156.7, .0362780},
{ 7.5309, .0040814, 4.9389, .50679, 2519.7, .85819, 3314.6, .0305140},
{ 5.4742, .0040829, 4.897, .51113, 2340.1, .85296, 2342.7, .0356620},
{ 4.2661, .0040667, 4.5032, .55257, 2076.4, .84151, 1666.6, .0408010},
{ 6.8313, .0040486, 4.3987, .51675, 2003.0, .83437, 1410.4, .03478},
{ 1.2707, .0040553, 4.6295, .57428, 1626.3, .81858, 995.68, .0553190},
{ 5.7561, .0040491, 4.357, .52496, 2207.3, .83796, 1579.5, .0271650},
{14.127, .0040596, 5.8304, .37755, 3645.9, .87823, 3411.8, .0163920},
{ 6.6948, .0040603, 4.9361, .47961, 2719.0, .85249, 1885.8, .0197130},
{ 3.0619, .0040511, 3.5803, .59082, 2346.1, .83713, 1222.0, .0200720},
{10.811, .0033008, 1.3767, .76512, 2003.7, .82269, 1110.6, .0249580},
{ 2.7101, .0040961, 1.2289, .98598, 1232.4, .79066, 155.42, .0472940},
{ .52345, .0040244, 1.4038, .8551, 1461.4, .79677, 503.34, .0367890},
{ .4616, .0040203, 1.3014, .87043, 1473.5, .79687, 443.09, .0363010},
{ .97814, .0040374, 2.0127, .7225, 1890.8, .81747, 930.7, .02769},
{ 3.2086, .004051, 3.6658, .53618, 3091.2, .85602, 1508.1, .0154010},
{ 2.0035, .0040431, 7.4882, .3561, 4464.3, .88836, 3966.5, .0128390},
{15.43, .0039432, 1.1237, .70703, 4595.7, .88437, 1576.5, .0088534},
{ 3.1512, .0040524, 4.0996, .5425, 3246.3, .85772, 1691.8, .0150580},
{ 7.1896, .0040588, 8.6927, .35842, 4760.6, .88833, 2888.3, .0110290}, //Pb
{ 9.3209, .004054, 11.543, .32027, 4866.2, .89124, 3213.4, .0119350},
{29.242, .0036195, .16864, 1.1226, 5688.0, .89812, 1033.3, .0071303},
{ 1.8522, .0039973, 3.1556, .65096, 3755.0, .86383, 1602.0, .0120420},
{ 3.222, .0040041, 5.9024, .52678, 4040.2, .86804, 1658.4, .0117470},
{ 9.3412, .0039661, 7.921, .42977, 5180.9, .88773, 2173.2, .0092007},
{36.183, .0036003, .58341, .86747, 6990.2, .91082, 1417.1, .0062187},
{ 5.9284, .0039695, 6.4082, .52122, 4619.5, .88083, 2323.5, .0116270},
{ 5.2454, .0039744, 6.7969, .48542, 4586.3, .87794, 2481.5, .0112820},
{33.702, .0036901, .47257, .89235, 5295.7, .8893, 2053.3, .0091908},
{2.7589, .0039806, 3.2092, .66122, 2505.4, .82863, 2065.1, .0228160} //U
};
namespace catima{
const double atima_vfermi[92] = {
1.0309,
0.15976,
0.59782,
1.0781,
1.0486,
1.00,
1.058,
0.93942,
0.74562,
0.3424,
0.45259,
0.71074,
0.90519,
0.97411,
0.97184,
0.89852,
0.70827,
0.39816,
0.36552,
0.62712,
0.81707,
0.9943,
1.1423,
1.2381,
1.1222,
0.92705,
1.0047,
1.2,
1.0661,
0.97411,
0.84912,
0.95,
1.0903,
1.0429,
0.49715,
0.37755,
0.35211,
0.57801,
0.77773,
1.0207,
1.029,
1.2542,
1.122,
1.1241,
1.0882,
1.2709,
1.2542,
0.90094,
0.74093,
0.86054,
0.93155,
1.0047,
0.55379,
0.43289,
0.32636,
0.5131,
0.6950,
0.72591,
0.71202,
0.67413,
0.71418,
0.71453,
0.5911,
0.70263,
0.68049,
0.68203,
0.68121,
0.68532,
0.68715,
0.61884,
0.71801,
0.83048,
1.1222,
1.2381,
1.045,
1.0733,
1.0953,
1.2381,
1.2879,
0.78654,
0.66401,
0.84912,
0.88433,
0.80746,
0.43357,
0.41923,
0.43638,
0.51464,
0.73087,
0.81065,
1.9578,
1.0257};
const double atima_lambda_screening[92]= {
1.00,
1.00,
1.10,
1.06,
1.01,
1.03,
1.04,
0.99,
0.95,
0.90,
0.82,
0.81,
0.83,
0.88,
1.00,
0.95,
0.97,
0.99,
0.98,
0.97,
0.98,
0.97,
0.96,
0.93,
0.91,
0.9,
0.88,
0.9,
0.9,
0.9,
0.9,
0.85,
0.9,
0.9,
0.91,
0.92,
0.9,
0.9,
0.9,
0.9,
0.9,
0.88,
0.9,
0.88,
0.88,
0.9,
0.9,
0.88,
0.9,
0.9,
0.9,
0.9,
0.96,
1.2,
0.9,
0.88,
0.88,
0.85,
0.90,
0.90,
0.92,
0.95,
0.99,
1.03,
1.05,
1.07,
1.08,
1.10,
1.08,
1.08,
1.08,
1.08,
1.09,
1.09,
1.10,
1.11,
1.12,
1.13,
1.14,
1.15,
1.17,
1.20,
1.18,
1.17,
1.17,
1.16,
1.16,
1.16,
1.16,
1.16,
1.16,
1.16};
*/
}
namespace density_effect{
const double x0[97]= {