Plot Specific heat of solid (a) Dulong-Petit law, (b) Einstein distribution function, (c) Debye distribution function with temperature and compare them with scilab.

 Q3: . Plot Specific heat of solid (a) Dulong-Petit law, (b) Einstein distribution function,                (c) Debye distribution function with temperature and compare them.

AIM OF THE EXPERIMENT:

To plot Specific heat of solid (a) Dulong-Petit law, (b) Einstein distribution function,                (c) Debye distribution function with temperature and compare them.

REQUISITES:

A PC/laptop.

Scilab 6.0.0 must be installed.

CODING:

clc;
clear all;
R=8.314;
h=6.625*10.^-34;
k=1.38*10.^-23;
v=15*10^12;
for T=10:10:1000;
DP=3*R;
a=(h*v)/(k*T);
E=(((3*R)*(a^2)*(exp(a)))/((exp(a)-1)^2));
funcprot(0)
function c=f(x)
 c=(x^4)*exp(x)/((exp(x)-1)^2);
endfunction
integral=intg(0,a,f);
D=(9*R*((1/a)^3)*integral);
plot(T,DP,'r*');
plot(T,E,'b+');
plot(T,D,'g*');
end
xlabel('Temperature','fontsize',4)
 ylabel('Cv','fontsize',4)
 title('Specific heat Vs. Temperature Plot','fontsize',4)

OUTPUT:

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