// Example no.3.10 // To calculate the effective mass of the electron in the valence band. // Page no.134 clc; clear; // Given data Eg=1.18; // Band gap in eV Eg=1.18*1.602*10^-19; // Band gap in J hk1=9*10^-26; // The crystal momentum in Kg.m/s h=1.054*10^(-34); // The distance between two levels f=3.94*10^14; // Light wave of frequency m=9.109*10^(-31); // The electron rest mass in kg mr=(hk1)^2/(2*(h*2*%pi*f-Eg)); // The reduced mass in kg meff1=0.07*m; // The effective mass of an electron in the conduction band // The effective mass of the electron in the valence band. meff2=(mr*meff1)/(meff1-mr); // The effective mass of the electron in the valence band. // Displaying the result in command window printf('\n The effective mass of the electron in the valence band = %0.2f X 10^-31 kg',meff2*10^31); // The answer is varrying due to round-off error