FUNCTION intensity_free_free,nu,T,em,I_halpha_R=I_halpha_R,nHe=nHe,ergs=ergs,mjy=mjy ;nu=frequency in Hz ;em is emission measure in cm^-6*pc ;T is the gas temperature ;example: ;nu=range_gen(1000,[1.,1000.])*1.e9 & T=5.e4 & em=1. ;I_ff=intensity_free_free(nu,T,em,I_halpha=I_halpha_R) ;cgplot,nu/1.e9,I_ff/I_halpha_R,/xlog,/ylog,yr=[1.e-2,1.e4],/ysty,xr=[1,1e3],/xsty ;print,I_halpha_R ; 0.0750229 nu_GHz=nu/1.e9 nu_10=nu_GHz/10. ;in units of 10 GHz c=2.998e8 ;m/s k=1.38e-23 ;J/K ;compute I Halpha for caseB recombination in Rayleigh I_halpha=intensity_h_alpha(em,T) ;this is in erg/cm2/s/sr R=5.661e-18 ;1R in ergs/s/cm^2/arcsec^2 sr=4.254517e10 ;1sr in arcsec^2 RR=R*sr I_halpha_R=I_halpha/RR ;in Rayleigh Z=1. ;stop T4=T/1.e4 ;ionization potentials of He chi_he=24.5874 ;eV chi_Heii=54.41778 ;eV use_nHe=0. IF keyword_set(nhe) THEN use_nHe=nHe ;not sure what the double 0.08 really means .... T_muK=I_halpha_R*14.*T4^0.317*10^(0.029/T4)*(1.+0.08*chi_Heii/chi_he*use_nHe/0.08)*Z^2*gaunt_ff(nu,T)/nu_10^2 ;T_muK=I_halpha_R*14.*T4^0.317*10.^(0.029/T4)*Z^2*gaunt_ff(nu,T)/nu_10^2 ;T_muK is the free-free brightness temperature (I=2*h*nu^2*k*Tb/c^2) in muK Ifreefree=T_muK IF keyword_set(ergs) THEN BEGIN Ifreefree=2.*nu^2*k*T_muK*1.e6/c^2 ;This is ergs/s/m^2/Hz/sr ENDIF ;convert to MJy/sr if needed IF keyword_set(mjy) THEN BEGIN lambda=c/nu*1.e6 ;mic T_mK=T_muK/1.e3 convert_mk_mjy, c/nu, T_mK, I_Mjy, /RJ Ifreefree=I_Mjy ENDIF RETURN,Ifreefree END