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% ¹À¼ÆUNIQUACÄ£ÐÍÖеIJÎÊý
%
%   Author: LI JUAN
%   $Revision: 1.0 $  $Date: 2016/01/04 $
%
%   Ref£ºMeasurement and correlation of solubility of dodecanedioic acid in different pure solvents from T = (288.15 to 323.15) K  
%   J. Chem. Thermodynamics 68 (2014) 270¨C274
%
%   T = temperature,K
%   x = the mole fraction
%   AAD = abs((exp(x(i))-xcal(i))/exp(x(i)))

function ff
clc
Data=[303.15 0.7766 0.02522];
T=Data(:,1);
x11=Data(:,2);
x12=Data(:,3);
x21=1-x11;
x22=1-x12;
[A,fval]=fminsearch(@func5,[1,1],[],T,x11,x12)




function y=func1(A,T,x11)
A12=A(1);
A21=A(2);
r1=2.3144;r2=0.92;q1=2.052;q2=1.4;
R=8.314;z=10;
x21=1-x11;
fai11=x11.*r1./(x11.*r1+x21.*r2);
fai21=1-fai11;
theta11=x11.*q1./(x11*q1+x21*q2);
theta21=1-theta11;
l1=z/2*(r1-q1)-(r1-1);
l2=z/2*(r2-q2)-(r2-1);
tao12=exp(-A12./R./T);
tao21=exp(-A21./R./T);
gama11=exp(log(fai11./x11)+z/2*q1.*log(theta11./fai11)+fai21.*(l1-r1/r2*l2)...
-q1*log(theta11+theta21.*tao21)+theta21*q1.*(tao21./(theta11+theta21.*tao21)-tao12./(theta21+theta11.*tao12)));
function y=func2(A,T,x12)
A12=A(1);
A21=A(2);
r1=2.3144;r2=0.92;q1=2.052;q2=1.4;
R=8.314;z=10;
x22=1-x12;
fai12=x12.*r1./(x12.*r1+x22.*r2);
fai22=1-fai12;
theta12=x12*q1./(x12*q1+x22*q2);
theta22=1-theta12;
l1=z/2*(r1-q1)-(r1-1);
l2=z/2*(r2-q2)-(r2-1);
tao12=exp(-A12./R./T);
tao21=exp(-A21./R./T);
gama12=exp(log(fai12./x12)+z/2*q1.*log(theta12./fai12)+fai22.*(l1-r1/r2*l2)...
-q1*log(theta12+theta22.*tao21)+theta22*q1.*(tao21./(theta12+theta22.*tao21)-tao12./(theta22+theta12.*tao12)));

function y=func3(A,T,x11)
A12=A(1);
A21=A(2);
r1=2.3144;r2=0.92;q1=2.052;q2=1.4;
R=8.314;z=10;
x21=1-x11;
fai11=x11.*r1./(x11.*r1+x21.*r2);
fai21=1-fai11;
theta11=x11.*q1./(x11*q1+x21*q2);
theta21=1-theta11;
l1=z/2*(r1-q1)-(r1-1);
l2=z/2*(r2-q2)-(r2-1);
tao12=exp(-A12./R./T);
tao21=exp(-A21./R./T);
gama21=exp(log(fai21./x21)+z/2*q2.*log(theta21./fai21)+fai11.*(l2-r2/r1*l1)...
-q2*log(theta21+theta11.*tao12)+theta11*q2.*(tao12./(theta21+theta11.*tao12)-tao21./(theta11+theta21.*tao21)));

function y=func4(A,T,x12)
A12=A(1);
A21=A(2);
r1=2.3144;r2=0.92;q1=2.052;q2=1.4;
R=8.314;z=10;
x22=1-x12;
fai12=x12.*r1./(x12.*r1+x22.*r2);
fai22=1-fai12;
theta12=x12*q1./(x12*q1+x22*q2);
theta22=1-theta12;
l1=z/2*(r1-q1)-(r1-1);
l2=z/2*(r2-q2)-(r2-1);
tao12=exp(-A12./R./T);
tao21=exp(-A21./R./T);
gama22=exp(log(fai22./x22)+z/2*q2.*log(theta22./fai22)+fai12.*(l2-r2/r1*l1)...
-q2*log(theta22+theta12.*tao12)+theta12*q2.*(tao12./(theta22+theta12.*tao12)-tao21./(theta12+theta22.*tao21)));
function y=func5(A,T,x11,x12)
garma11=func1(A,T,x11);
garma12=func2(A,T,x12);
garma21=func3(A,T,x11);
garma22=func4(A,T,x12);
x21=1-x11;
x22=1-x12;
sigma=(x11.*garma11-x12.*garma12).^2+(x21.*garma21-x22.*garma22).^2;
y=sigma;
format long g
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