The intrinsic electrical conductivity sigma of a semiconductor can be approximat

Question

The intrinsic electrical conductivity sigma of a semiconductor can be approximated by: sigma = e^(C - E_g/2kT) where sigma is measured in (Ohm-m)^-1, E_g is the band gap energy, k is Boltzmann's constant (8.62 times 10^-5 ev/K), and T is temperature in kelvins. For Germanium, C = 13.83 and E_g = 0.67 ev. Write a program in a script file that calculates the intrinsic electrical conductivity for Germanium for various temperatures. The values of the temperature should be read from an xls spreadsheet using the xlsread command. The output should be presented as a table where the first column is the temperature and the second column is the intrinsic electrical conductivity. Use the following values for temperature: 400, 435, 475, 500, 520, and 545 K.

Explanation / Answer

First, create an Excel file containing the temperatures with the name 'temperature' in the MATLAB directory. Then run the following code.

clear
T=xlsread('temperature.xlsx');
k=8.62*10^(-5);
C=13.83;
E_g=0.67;
sigma=exp(C-(E_g./(2*k*T)));
Temperature=T;
Intrinsic_Electrical_Conductivity=sigma;
Tl=table(Temperature,Intrinsic_Electrical_Conductivity)

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