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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Chapter 10: Energy Bands in Solids"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 10.1: example_1.sce"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"clc;\n",
"//E=Ef+1% of Ef\n",
"k=1.38*1e-23;//boltzman constant\n",
"e=1.6*1e-19;//charge of electron\n",
"E=0.0555;\n",
"//0.1=1/[(exp((E*e)/(k*T)))+1]\n",
"T=E*e/(k*log(9));//Temprature\n",
"disp(+'kelvin',T,'Temprature = ');\n",
"//there is slight variation than book's answer.. checked in calculator also.(book's mistake)"
]
}
,
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 10.2: example_2.sce"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"clc;\n",
"sx=0.01 //in ev. where x=E-Ef\n",
"x1=sx*1.6*1e-19 //converting it in joule\n",
"T=200 //in kelvin\n",
"Fe=1/(1+exp(x1/(1.38*1e-23*T)));//The value of F(E) \n",
"disp(Fe,'The value of F(E) =')"
]
}
,
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 10.3: example_3.sce"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"clc;\n",
"density=7.13*1e3 //in kg/m^3\n",
"M=65.4\n",
"N=6.023*1e26 //avogedro number\n",
"n=(2*density*N)/M\n",
"n1=n^(2/3);\n",
"Ef=3.65*1e-19*n1; //in eV\n",
"Ef1=(3/5)*Ef //in eV\n",
"disp(+'eV',Ef,'fermi energy =');\n",
"disp(+'eV',Ef1,'Mean energy at T=0K =');\n",
"//there is slight variation in answer than book's answer.. checked in calculator too..(book's mistake)"
]
}
,
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 10.4: example_4.sce"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"clc;\n",
"clear all;\n",
"Ef=5.51 //in eV\n",
"E=(3/5)*Ef;//The average energy of a free electron in silver at 0k\n",
"disp(+'eV',E,'The average energy of a free electron in silver at 0k =')"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Scilab",
"language": "scilab",
"name": "scilab"
},
"language_info": {
"file_extension": ".sce",
"help_links": [
{
"text": "MetaKernel Magics",
"url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md"
}
],
"mimetype": "text/x-octave",
"name": "scilab",
"version": "0.7.1"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
|
