FORTRAN code for the Kolafa and Nezbeda equation of state
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The following is the FORTRAN source code for the Kolafa and Nezbeda equation of state for the Lennard-Jones model
c=================================================================== C Package supplying the thermodynamic properties of the C LENNARD-JONES fluid c c J. Kolafa, I. Nezbeda, Fluid Phase Equil. 100 (1994), 1 c c ALJ(T,rho)...Helmholtz free energy (including the ideal term) c PLJ(T,rho)...Pressure c ULJ(T,rho)...Internal energy c=================================================================== DOUBLE PRECISION FUNCTION ALJ(T,rho) C Helmholtz free energy (including the ideal term) c implicit double precision (a-h,o-z) data pi /3.141592654d0/ eta = PI/6.*rho * (dC(T))**3 ALJ = (dlog(rho)+betaAHS(eta) + +rho*BC(T)/exp(gammaBH(T)*rho**2))*T + +DALJ(T,rho) RETURN END C/* Helmholtz free energy (without ideal term) */ DOUBLE PRECISION FUNCTION ALJres(T,rho) implicit double precision (a-h,o-z) data pi /3.141592654d0/ eta = PI/6. *rho*(dC(T))**3 ALJres = (betaAHS(eta) + +rho*BC(T)/exp(gammaBH(T)*Sqrt(rho)))*T + +DALJ(T,rho) RETURN END C/* pressure */ DOUBLE PRECISION FUNCTION PLJ(T,rho) implicit double precision (a-h,o-z) data pi /3.141592654d0/ eta=PI/6. *rho*(dC(T))**3 sum=((2.01546797*2+rho*( + (-28.17881636)*3+rho*( + 28.28313847*4+rho* + (-10.42402873)*5))) + +(-19.58371655*2+rho*( + +75.62340289*3+rho*( + (-120.70586598)*4+rho*( + +93.92740328*5+rho* + (-27.37737354)*6))))/dsqrt(T) + + ((29.34470520*2+rho*( + (-112.35356937)*3+rho*( + +170.64908980*4+rho*( + (-123.06669187)*5+rho* + 34.42288969*6))))+ + ((-13.37031968)*2+rho*( + 65.38059570*3+rho*( + (-115.09233113)*4+rho*( + 88.91973082*5+rho* + (-25.62099890)*6))))/T)/T)*rho**2 PLJ = ((zHS(eta) + + BC(T)/exp(gammaBH(T)*rho**2) + *rho*(1-2*gammaBH(T)*rho**2))*T + +sum )*rho RETURN END
C/* internal energy */ DOUBLE PRECISION FUNCTION ULJ( T, rho) implicit double precision (a-h,o-z) data pi /3.141592654d0/ dBHdT=dCdT(T) dB2BHdT=BCdT(T) d=dC(T) eta=PI/6. *rho*d**3 sum= ((2.01546797+rho*( + (-28.17881636)+rho*( + +28.28313847+rho* + (-10.42402873)))) + + (-19.58371655*1.5+rho*( + 75.62340289*1.5+rho*( + (-120.70586598)*1.5+rho*( + 93.92740328*1.5+rho* + (-27.37737354)*1.5))))/dsqrt(T) + + ((29.34470520*2+rho*( + -112.35356937*2+rho*( + 170.64908980*2+rho*( + -123.06669187*2+rho* + 34.42288969*2)))) + + (-13.37031968*3+rho*( + 65.38059570*3+rho*( + -115.09233113*3+rho*( + 88.91973082*3+rho* + (-25.62099890)*3))))/T)/T) *rho*rho ULJ = 3*(zHS(eta)-1)*dBHdT/d + +rho*dB2BHdT/exp(gammaBH(T)*rho**2) +sum RETURN END
DOUBLE PRECISION FUNCTION zHS(eta) implicit double precision (a-h,o-z) zHS = (1+eta*(1+eta*(1-eta/1.5*(1+eta)))) / (1-eta)**3 RETURN END
DOUBLE PRECISION FUNCTION betaAHS( eta ) implicit double precision (a-h,o-z) betaAHS = dlog(1-eta)/0.6 + + eta*( (4.0/6*eta-33.0/6)*eta+34.0/6 ) /(1.-eta)**2 RETURN END
C /* hBH diameter */ DOUBLE PRECISION FUNCTION dLJ(T) implicit double precision (a-h,o-z) DOUBLE PRECISION IST isT=1/dsqrt(T) dLJ = ((( 0.011117524191338 *isT-0.076383859168060) + *isT)*isT+0.000693129033539)/isT+1.080142247540047 + +0.127841935018828*dlog(isT) RETURN END
DOUBLE PRECISION FUNCTION dC(T) implicit double precision (a-h,o-z) sT=dsqrt(T) dC = -0.063920968*dlog(T)+0.011117524/T + -0.076383859/sT+1.080142248+0.000693129*sT RETURN END
DOUBLE PRECISION FUNCTION dCdT( T) implicit double precision (a-h,o-z) sT=dsqrt(T) dCdT = 0.063920968*T+0.011117524+(-0.5*0.076383859 + -0.5*0.000693129*T)*sT RETURN END
DOUBLE PRECISION FUNCTION BC( T) implicit double precision (a-h,o-z) DOUBLE PRECISION isT isT=1/dsqrt(T) BC = (((((-0.58544978*isT+0.43102052)*isT + +.87361369)*isT-4.13749995)*isT+2.90616279)*isT + -7.02181962)/T+0.02459877 RETURN END
DOUBLE PRECISION FUNCTION BCdT( T) implicit double precision (a-h,o-z) DOUBLE PRECISION iST isT=1/dsqrt(T) BCdT = ((((-0.58544978*3.5*isT+0.43102052*3)*isT + +0.87361369*2.5)*isT-4.13749995*2)*isT + +2.90616279*1.5)*isT-7.02181962 RETURN END
DOUBLE PRECISION FUNCTION gammaBH(X) implicit double precision (a-h,o-z) gammaBH=1.92907278 RETURN END
DOUBLE PRECISION FUNCTION DALJ(T,rho) implicit double precision (a-h,o-z) DALJ = ((+2.01546797+rho*(-28.17881636 + +rho*(+28.28313847+rho*(-10.42402873)))) + +(-19.58371655+rho*(75.62340289+rho*((-120.70586598) + +rho*(93.92740328+rho*(-27.37737354)))))/dsqrt(T) + + ( (29.34470520+rho*((-112.35356937) + +rho*(+170.64908980+rho*((-123.06669187) + +rho*34.42288969)))) + +(-13.37031968+rho*(65.38059570+ + rho*((-115.09233113)+rho*(88.91973082 + +rho* (-25.62099890)))))/T)/T) *rho*rho RETURN END