📄 ex6_1.m
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%
% This program plots Si, Ge, and GaAs conductivities
% as a function of temperature as described in Example 6.1
%
% Copyright (c) 1999 by P.Bretchko and R.Ludwig
% "RF Circuit Design: Theory and Practice"
%
close all; % close all opened graphs
clear all; % clear all variables
figure; % open new graph
% define physical constants
q=1.60218e-19; % electron charge
k=1.38066e-23; % Boltzmann's constant
% define material properties
Nc_300=[1.04e19 2.8e19 4.7e17]; % effective carrier concentration
% in conduction band at T=300K
Nv_300=[6e18 1.04e19 7e18]; % effective carrier concentration
% in valence band at T=300K
mu_n= [3900 1500 8500]; % electron mobility
mu_p= [1900 450 400]; % hole mobility
Wg= [0.66 1.12 1.424]; % band-gap energy in eV
% | | |
% | | +-------- GaAs
% | |
% | +---------------- Si
% |
% +------------------------ Ge
T0=273;
T=-50:250; % temperature range in Centigrade
sigma=zeros([3 length(T)]);
for s=1:3 % loop through all semiconductor materials
Nc=Nc_300(s)*((T+T0)/300).^(3/2);
Nv=Nv_300(s)*((T+T0)/300).^(3/2);
sigma(s,:)=q*sqrt(Nc.*Nv).*exp(-Wg(s)./(2*k*(T+T0)/q))*(mu_n(s)+mu_p(s));
end;
semilogy(T,sigma(1,:),T,sigma(2,:),T,sigma(3,:));
legend('Ge','Si','GaAs',2);
title('Conductivity of semiconductor at different temperatures');
xlabel('Temperature, {\circ}C');
ylabel('Conductivity \sigma, \Omega^{-1}cm^{-1}');
%print -deps 'fig6_2.eps'
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