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-{
- "metadata": {
- "name": ""
- },
- "nbformat": 3,
- "nbformat_minor": 0,
- "worksheets": [
- {
- "cells": [
- {
- "cell_type": "heading",
- "level": 1,
- "metadata": {},
- "source": [
- "Chapter 7: Solid State"
- ]
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Problem 1, Page no: 209"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "# Solution\n",
- "print \"Weiss indices \\t\\t\\t1/2, 2/3, infinity \\t2/3, 2, 1/3\"\n",
- "print \"Reciprocal of Weiss indices 2, 3/2, 1/infinity \\t3/2, 1/2, 3\"\n",
- "print \"Clear fractions\\t\\t\\t4, 3, 0 \\t3, 1, 6\"\n",
- "print \"Miller indices \\t\\t\\t (430) \\t (316)\"\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Weiss indices \t\t\t1/2, 2/3, infinity \t2/3, 2, 1/3\n",
- "Reciprocal of Weiss indices 2, 3/2, 1/infinity \t3/2, 1/2, 3\n",
- "Clear fractions\t\t\t4, 3, 0 \t3, 1, 6\n",
- "Miller indices \t\t\t (430) \t (316)\n"
- ]
- }
- ],
- "prompt_number": 3
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Problem 2, Page no: 209"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from math import sqrt\n",
- "\n",
- "\n",
- "# Variable\n",
- "a = 450 # pm\n",
- "\n",
- "# Solution\n",
- "d220 = a / sqrt(2 ** 2 + 2 ** 2 + 0)\n",
- "print \"Interplanar spacing\", int(d220)\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Interplanar spacing 159\n"
- ]
- }
- ],
- "prompt_number": 5
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Problem 3, Page no: 209"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "# Solution\n",
- "print \"Intercept \\t(a, b ,c)\\t\\t(a, 2b, c) \\t\\t(a, 2b, 2c) \\t\\t(infi, b, -c)\"\n",
- "print \"Weiss indices\\t 1, 1, 1 \\t\\t 1, 2, 1 \\t\\t 1, 2, 2 \\t\\t infi, 1, -1\"\n",
- "print \"Reciprocals \\t 1, 1, 1 \\t\\t 1, 1/2, 1 \\t\\t 1, 1/2, 1/2\\t\\t 0, 1, -1\"\n",
- "print \"Miller indicec\\t (111) \\t\\t (212) \\t\\t (211) \\t\\t (011)\"\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Intercept \t(a, b ,c)\t\t(a, 2b, c) \t\t(a, 2b, 2c) \t\t(infi, b, -c)\n",
- "Weiss indices\t 1, 1, 1 \t\t 1, 2, 1 \t\t 1, 2, 2 \t\t infi, 1, -1\n",
- "Reciprocals \t 1, 1, 1 \t\t 1, 1/2, 1 \t\t 1, 1/2, 1/2\t\t 0, 1, -1\n",
- "Miller indicec\t (111) \t\t (212) \t\t (211) \t\t (011)\n"
- ]
- }
- ],
- "prompt_number": 7
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Problem 4, Page no: 209"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "# Variables\n",
- "rNa = 0.98 * 10 ** - 10 # m\n",
- "rCl = 1.81 * 10 ** - 10 # m\n",
- "\n",
- "# Solution\n",
- "rr = rNa / rCl\n",
- "print \"When the radius ration is\", \"{:.2f}\".format(rr),\n",
- "print \", the coordination number is 6.\"\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "When the radius ration is 0.54 , the coordination number is 6.\n"
- ]
- }
- ],
- "prompt_number": 9
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Problem 5, Page no: 210"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "# Variables\n",
- "rLi = 68 # pm\n",
- "rF = 136. # pm\n",
- "\n",
- "# Solution\n",
- "rr = rLi / rF\n",
- "print \"Radius ratio =\", rr\n",
- "print \"The structure of LiF is scc and C.N of Li+ = 6\"\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Radius ratio = 0.5\n",
- "The structure of LiF is scc and C.N of Li+ = 6\n"
- ]
- }
- ],
- "prompt_number": 2
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Problem 6, Page no: 210"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from math import sin\n",
- "\n",
- "\n",
- "# Variables\n",
- "lamda = 2 * 10 ** - 10 # m\n",
- "theta = 30 # degrees\n",
- "\n",
- "# Solution\n",
- "print \"For first-order reflection\"\n",
- "d = lamda / (2 * sin(theta))\n",
- "dist = 2 * d\n",
- "print \"Hence, distance between planes is\", \"{:.0e}\".format(abs(dist)), \"m\"\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "For first-order reflection\n",
- "Hence, distance between planes is 2e-10 m\n"
- ]
- }
- ],
- "prompt_number": 3
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Problem 7, Page no: 210"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from math import sqrt\n",
- "\n",
- "\n",
- "# Variables\n",
- "r = 174.6 # pm\n",
- "\n",
- "# Solution\n",
- "a = r * sqrt(8)\n",
- "print \"For 200 plane: h = 2, k = 0, l = 0\"\n",
- "d200 = a / sqrt(2 ** 2)\n",
- "print \"d200 =\", \"{:.1f}\".format(d200), \"pm\"\n",
- "print \"For 200 plane: h = 2, k = 2, l = 0\"\n",
- "d220 = a / sqrt(2 ** 2 + 2 ** 2)\n",
- "print \"d220 =\", d220, \"pm\"\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "For 200 plane: h = 2, k = 0, l = 0\n",
- "d200 = 246.9 pm\n",
- "For 200 plane: h = 2, k = 2, l = 0\n",
- "d220 = 174.6 pm\n"
- ]
- }
- ],
- "prompt_number": 17
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Problem 8, Page no: 210"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "# Constant\n",
- "N = 6.023 * 10 ** 23\n",
- "\n",
- "# Variables\n",
- "wt = 55.6\n",
- "p = 0.29 # nm\n",
- "n = 2\n",
- "\n",
- "# Solution\n",
- "print \"For BCC pattern,\"\n",
- "print \"number of atoms per unit cell = 2\"\n",
- "d = n * (wt * 10 ** -3) / (N * (p * 10 ** - 9) ** 3)\n",
- "print \"Density of the metal is\", \"{:.2e}\".format(d), \"kg / m^3\"\n",
- "print \"Number of nearest enighbour for BCC = 8\"\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "For BCC pattern,\n",
- "number of atoms per unit cell = 2\n",
- "Density of the metal is 7.57e+03 kg / m^3\n",
- "Number of nearest enighbour for BCC = 8\n"
- ]
- }
- ],
- "prompt_number": 4
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Problem 9, Page no: 210"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "# Solution\n",
- "print \"Intercept \\t2a/2, 2b, c/3\"\n",
- "print \"Weiss indices\\t1, 2, 1/3\"\n",
- "print \"Reciprocals \\t1, 1/2, 3\"\n",
- "print \"Miller indices\\t (216)\"\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Intercept \t2a/2, 2b, c/3\n",
- "Weiss indices\t1, 2, 1/3\n",
- "Reciprocals \t1, 1/2, 3\n",
- "Miller indices\t (216)\n"
- ]
- }
- ],
- "prompt_number": 19
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Problem 10, Page no: 211"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "# Constant\n",
- "N = 6.023 * 10 ** 23\n",
- "\n",
- "# Variables\n",
- "D = 0.53 # g / cm ^ 3\n",
- "MM = 6.94 # g / mol\n",
- "n = 2\n",
- "\n",
- "# Solution\n",
- "print \"For BCC pattern,\"\n",
- "print \"number of atoms per unit cell = 2\"\n",
- "V = D * N / (n * MM)\n",
- "V = 1 / V\n",
- "print \"Volume of a unit cell of lithium metal is\", \"{:.2e}\".format(V), \"cc\"\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "For BCC pattern,\n",
- "number of atoms per unit cell = 2\n",
- "Volume of a unit cell of lithium metal is 4.35e-23 cc\n"
- ]
- }
- ],
- "prompt_number": 23
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Problem 11, Page no: 211"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from math import sqrt\n",
- "\n",
- "\n",
- "print \"AB remain in BCC structure if the edge length is a then body diagonal\",\n",
- "print \"is root(3)a\"\n",
- "print \"root(3)a = 2(r+ + r-)\"\n",
- "A = (sqrt(3) * 0.4123 - 2 * 0.81) / 2\n",
- "print \"A+ =\", \"{:.2f}\".format(A), \"nm\"\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "AB remain in BCC structure if the edge length is a then body diagonal is root(3)a\n",
- "root(3)a = 2(r+ + r-)\n",
- "A+ = -0.45 nm\n"
- ]
- }
- ],
- "prompt_number": 25
- }
- ],
- "metadata": {}
- }
- ]
-} \ No newline at end of file