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-{
- "metadata": {
- "name": "",
- "signature": "sha256:1ec2372be7a9974010a31557c9658c85707025e7a87f82e6ef26be63dbcfb0e7"
- },
- "nbformat": 3,
- "nbformat_minor": 0,
- "worksheets": [
- {
- "cells": [
- {
- "cell_type": "heading",
- "level": 1,
- "metadata": {},
- "source": [
- "Chapter 3:Planes in Crystals"
- ]
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 3.11 , Page no:61"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "import math\n",
- "from __future__ import division\n",
- "\n",
- "#given\n",
- "h=3;\n",
- "k=2;\n",
- "l=1; #miller indices\n",
- "a=4.2E-8; #in cm (lattice constant)\n",
- "\n",
- "#calculate\n",
- "d=a/math.sqrt(h**2+k**2+l**2); #calculation for interplanar spacing\n",
- "d=d*1E8; #changing unit from cm to Angstrom\n",
- "\n",
- "#result\n",
- "print\"The interplanar spacing is d=\",round(d,2),\"cm\";\n",
- "print\"\\t\\t\\t d=\",round(d,2),\"Angstrom\";"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "The interplanar spacing is d= 1.12 cm\n",
- "\t\t\t d= 1.12 Angstrom\n"
- ]
- }
- ],
- "prompt_number": 1
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 3.12 , Page no:61"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "import math\n",
- "from __future__ import division\n",
- "\n",
- "#given\n",
- "h=1;k=1;l=1; #miller indices\n",
- "a=2.5;b=2.5;c=1.8; #in Angstrom (lattice constants for tetragonal lattice )\n",
- "\n",
- "#calculate\n",
- "d=1/math.sqrt((h/a)**2+(k/b)**2+(l/c)**2); #calculation for interplanar spacing\n",
- "\n",
- "#result\n",
- "print\"The lattice spacing is d=\",round(d,2),\"Angstrom\";"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "The lattice spacing is d= 1.26 Angstrom\n"
- ]
- }
- ],
- "prompt_number": 2
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 3.15 , Page no:63"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "import math\n",
- "from __future__ import division\n",
- "\n",
- "#given\n",
- "h=1;k=0;l=0; #miller indices\n",
- "a=2.5; #in Angstrom (lattice constant)\n",
- "\n",
- "#calculate\n",
- "a=a*1E-10; #hence a is in Angstrom\n",
- "d=a/math.sqrt(h**2+k**2+l**2); #calculation for interplanar spacing\n",
- "p=d/a**3;\n",
- "\n",
- "#result\n",
- "print\"The density is p=\",round(p),\"lattice points/m^2\";"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "The density is p= 1.6e+19 lattice points/m^2\n"
- ]
- }
- ],
- "prompt_number": 3
- }
- ],
- "metadata": {}
- }
- ]
-} \ No newline at end of file