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Line in Matlab plot do not appear


I am self studying Matlab and I want to create a plot with electron concentration and inverse temperature as the picture shows: enter image description here

I have created a code in matlab but I do not see the line in the plot .Why ?

% Constants
k = 1.38e-23;  % Boltzmann's constant (J/K)
Eg = 1.12;     % Energy band gap of silicon (eV)
A = 2.5e19;    % Constant for intrinsic carrier concentration calculation
Nc = 2.8e19;   % Effective density of states in conduction band (cm^-3)
Nd = 1e16;     % Doping concentration (cm^-3)

% Temperature range
T = linspace(100, 1000, 100);  % Temperature range from 100 K to 1000 K

% Electron concentration for n-type doping
n = (Nc * Nv)^0.5 * exp(-Eg./(2*k*T));

% Calculate ln(n)
ln_n = log(n);

% Calculate 1/T
inv_T = 1 ./ T;

% Plot
plot(inv_T, ln_n, 'r', 'LineWidth', 2);
xlabel('1/T');
ylabel('ln(N_D)');
title('ln(Electron Concentration) vs. 1/T for Silicon');
grid on;

Does anyone knows ?


Solution

  • You can plot it as follows:

    k = 1.38e-23;  % Boltzmann's constant (J/K)
    k = 8.6173303e-5; % Boltzmann's constant (eV/K)
    Eg = 1.12;     % Energy band gap of silicon (eV)
    A = 2.5e19;    % Constant for intrinsic carrier concentration calculation
    Nc = 2.8e19;   % Effective density of states in conduction band (cm^-3)
    Nd = 1e16;     % Doping concentration (cm^-3)
    
    % Temperature range
    T = linspace(100, 1000, 100);  % Temperature range from 100 K to 1000 K
    
    % Electron concentration for n-type doping
    n = (Nc * Nd)^0.5 * exp(-Eg./(2*k*T));
    
    % Calculate ln(n)
    ln_n = log(n);
    
    % Calculate 1/T
    inv_T = 1 ./ T;
    
    % Plot
    plot(inv_T, ln_n, 'r', 'LineWidth', 2);
    xlabel('1/T');
    ylabel('ln(N_D)');
    title('ln(Electron Concentration) vs. 1/T for Silicon');
    grid on;
    

    Your plot did not show up because the value is just too small, i.e., zero. You need to use k in the unit of eV. You also need to replace Nv as Nd. Attached is the plot of the intrinsic slope, after changing these two things.

    enter image description here