summaryrefslogtreecommitdiff
path: root/Solid_State_Physics_by_Dr._M._Arumugam/Chapter3_Kh8IZS4.ipynb
diff options
context:
space:
mode:
Diffstat (limited to 'Solid_State_Physics_by_Dr._M._Arumugam/Chapter3_Kh8IZS4.ipynb')
-rw-r--r--Solid_State_Physics_by_Dr._M._Arumugam/Chapter3_Kh8IZS4.ipynb303
1 files changed, 0 insertions, 303 deletions
diff --git a/Solid_State_Physics_by_Dr._M._Arumugam/Chapter3_Kh8IZS4.ipynb b/Solid_State_Physics_by_Dr._M._Arumugam/Chapter3_Kh8IZS4.ipynb
deleted file mode 100644
index a9d0fcd4..00000000
--- a/Solid_State_Physics_by_Dr._M._Arumugam/Chapter3_Kh8IZS4.ipynb
+++ /dev/null
@@ -1,303 +0,0 @@
-{
- "cells": [
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "# 3: X-Ray Diffraction"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## Example number 1, Page number 3.9"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 2,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "maximum order of diffraction is 1.53\n"
- ]
- }
- ],
- "source": [
- "#importing modules\n",
- "import math\n",
- "from __future__ import division\n",
- "\n",
- "#Variable declaration\n",
- "d=1.181; #lattice spacing(angstrom)\n",
- "theta=90*math.pi/180; #glancing angle(radian)\n",
- "lamda=1.540; #wavelength of X-rays(angstrom)\n",
- "\n",
- "#Calculation\n",
- "n=2*d*math.sin(theta)/lamda; #maximum order of diffraction \n",
- "\n",
- "#Result\n",
- "print \"maximum order of diffraction is\",round(n,2)"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## Example number 2, Page number 3.9"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 4,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "cube edge of unit cell is 3.514 angstrom\n",
- "answer given in the book varies due to rounding off errors\n"
- ]
- }
- ],
- "source": [
- "#importing modules\n",
- "import math\n",
- "from __future__ import division\n",
- "\n",
- "#Variable declaration\n",
- "n=1; #order\n",
- "theta=9.5*math.pi/180; #glancing angle(radian)\n",
- "lamda=0.58; #wavelength(angstrom)\n",
- "h=2;\n",
- "k=0;\n",
- "l=0;\n",
- "\n",
- "#Calculation\n",
- "d=n*lamda/(2*math.sin(theta)); #lattice parameter(angstrom)\n",
- "a=d*math.sqrt(h**2+k**2+l**2); #cube edge of unit cell(angstrom)\n",
- "\n",
- "#Result\n",
- "print \"cube edge of unit cell is\",round(a,3),\"angstrom\"\n",
- "print \"answer given in the book varies due to rounding off errors\""
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## Example number 3, Page number 3.10"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 7,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "glancing angle for 3rd order is 26 degrees 35 minutes\n",
- "answer for minutes given in the book is wrong\n"
- ]
- }
- ],
- "source": [
- "#importing modules\n",
- "import math\n",
- "from __future__ import division\n",
- "\n",
- "#Variable declaration\n",
- "theta=(8+(35/60))*math.pi/180; #glancing angle(radian)\n",
- "lamda=0.842; #wavelength of X-rays(angstrom)\n",
- "n1=1; #order\n",
- "n3=3; #order \n",
- "\n",
- "#Calculation\n",
- "theta3=math.asin(n3*lamda*math.sin(theta)/(n1*lamda))*180/math.pi; #glancing angle for 3rd order(degrees)\n",
- "theta3d=int(theta3); #glancing angle for 3rd order(degrees) \n",
- "theta3m=(theta3-theta3d)*60; #glancing angle for 3rd order(minutes)\n",
- "\n",
- "#Result\n",
- "print \"glancing angle for 3rd order is\",theta3d,\"degrees\",int(theta3m),\"minutes\"\n",
- "print \"answer for minutes given in the book is wrong\""
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## Example number 4, Page number 3.10"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 11,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "interplanar spacing is 2.22 angstrom\n",
- "value of h**2+k**2+l**2 is 2\n",
- "miller indices are (110) or (011) or (101)\n"
- ]
- }
- ],
- "source": [
- "#importing modules\n",
- "import math\n",
- "from __future__ import division\n",
- "\n",
- "#Variable declaration\n",
- "theta=20.3*math.pi/180; #glancing angle(radian)\n",
- "lamda=1.54; #wavelength of X-rays(angstrom)\n",
- "n=1; #order\n",
- "a=3.16; #lattice parameter(angstrom)\n",
- "\n",
- "#Calculation\n",
- "d=n*lamda/(2*math.sin(theta)); #interplanar spacing(angstrom)\n",
- "x=(a/d)**2; #assume x=(h**2+k**2+l**2)\n",
- "\n",
- "#Result\n",
- "print \"interplanar spacing is\",round(d,2),\"angstrom\"\n",
- "print \"value of h**2+k**2+l**2 is\",int(x)\n",
- "print \"miller indices are (110) or (011) or (101)\""
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## Example number 5, Page number 3.11"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 12,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "wavelength is 1.553 angstrom\n",
- "energy of X-rays is 8 *10**3 eV\n"
- ]
- }
- ],
- "source": [
- "#importing modules\n",
- "import math\n",
- "from __future__ import division\n",
- "\n",
- "#Variable declaration\n",
- "n=4; #order\n",
- "A=107.87; #atomic weight(kg)\n",
- "theta=(19+(12/60))*math.pi/180; #glancing angle(radian)\n",
- "h=1;\n",
- "k=1;\n",
- "l=1;\n",
- "N=6.02*10**26; #avagadro number\n",
- "rho=10500; #density(kg/m**3)\n",
- "H=6.625*10**-34; #plancks constant(Js)\n",
- "c=3*10**8; #velocity of light(m/s)\n",
- "e=1.6*10**-19; #charge(coulomb)\n",
- "\n",
- "#Calculation\n",
- "a=round(((n*A/(N*rho))**(1/3))*10**10,2); #lattice parameter(angstrom)\n",
- "d=a/math.sqrt((h**2)+(k**2)+(l**2)); #lattice parameter(angstrom)\n",
- "lamda=2*d*math.sin(theta); #wavelength(angstrom)\n",
- "E=H*c/(lamda*10**-10*e); #energy of X-rays(eV)\n",
- "\n",
- "#Result\n",
- "print \"wavelength is\",round(lamda,3),\"angstrom\"\n",
- "print \"energy of X-rays is\",int(round(E/10**3)),\"*10**3 eV\""
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## Example number 6, Page number 3.12"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 22,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "specimen distance is 7.559 cm\n",
- "answer given in the book varies due to rounding off errors\n"
- ]
- }
- ],
- "source": [
- "#importing modules\n",
- "import math\n",
- "from __future__ import division\n",
- "\n",
- "#Variable declaration\n",
- "h=1;\n",
- "k=1;\n",
- "l=1;\n",
- "a=4.57; #lattice parameter(angstrom)\n",
- "lamda=1.52; #wavelength(angstrom)\n",
- "r=5; #radius(cm)\n",
- "\n",
- "#Calculation\n",
- "d=a/math.sqrt(h**2+k**2+l**2); #lattice parameter(angstrom)\n",
- "theta=math.asin(lamda/(2*d)); #glancing angle(degrees)\n",
- "X=r/math.tan(2*theta); #specimen distance(cm)\n",
- "\n",
- "#Result\n",
- "print \"specimen distance is\",round(X,3),\"cm\"\n",
- "print \"answer given in the book varies due to rounding off errors\""
- ]
- }
- ],
- "metadata": {
- "kernelspec": {
- "display_name": "Python 2",
- "language": "python",
- "name": "python2"
- },
- "language_info": {
- "codemirror_mode": {
- "name": "ipython",
- "version": 2
- },
- "file_extension": ".py",
- "mimetype": "text/x-python",
- "name": "python",
- "nbconvert_exporter": "python",
- "pygments_lexer": "ipython2",
- "version": "2.7.11"
- }
- },
- "nbformat": 4,
- "nbformat_minor": 0
-}
generated by cgit (git 2.34.1) at 2025-01-06 22:39:46 +0000