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authorTrupti Kini2016-09-26 23:32:22 +0600
committerTrupti Kini2016-09-26 23:32:22 +0600
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Added(A)/Deleted(D) following books
M Basic_Electronics_Electronics_Engineering_by_J_B_Gupta/README.txt M Modern_Digital_And_Analog_Communication_System_by_B._P._Lathi/Chapter10_1.ipynb M Modern_Digital_And_Analog_Communication_System_by_B._P._Lathi/Chapter11_1.ipynb M Modern_Digital_And_Analog_Communication_System_by_B._P._Lathi/Chapter12_1.ipynb M Modern_Digital_And_Analog_Communication_System_by_B._P._Lathi/Chapter13_1.ipynb M Modern_Digital_And_Analog_Communication_System_by_B._P._Lathi/Chapter14_1.ipynb M Modern_Digital_And_Analog_Communication_System_by_B._P._Lathi/Chapter15_1.ipynb M Modern_Digital_And_Analog_Communication_System_by_B._P._Lathi/Chapter16_1.ipynb M Modern_Digital_And_Analog_Communication_System_by_B._P._Lathi/Chapter2_1.ipynb M Modern_Digital_And_Analog_Communication_System_by_B._P._Lathi/Chapter3_1.ipynb M Modern_Digital_And_Analog_Communication_System_by_B._P._Lathi/Chapter4_1.ipynb M Modern_Digital_And_Analog_Communication_System_by_B._P._Lathi/Chapter5_1.ipynb M Modern_Digital_And_Analog_Communication_System_by_B._P._Lathi/Chapter6_1.ipynb M Modern_Digital_And_Analog_Communication_System_by_B._P._Lathi/Chapter7_1.ipynb M Modern_Digital_And_Analog_Communication_System_by_B._P._Lathi/Chapter8_1.ipynb M Modern_Digital_And_Analog_Communication_System_by_B._P._Lathi/screenshots/2correlationCoeff_1.png M Modern_Digital_And_Analog_Communication_System_by_B._P._Lathi/screenshots/2expansionofSignal_1.png M Modern_Digital_And_Analog_Communication_System_by_B._P._Lathi/screenshots/2timeInvertedsignal_1.png M Principle_of_Communication_Engineering_by_A._Singh_and_A._K._Chhabra/Chapter10_1.ipynb M Principle_of_Communication_Engineering_by_A._Singh_and_A._K._Chhabra/Chapter11_1.ipynb M Principle_of_Communication_Engineering_by_A._Singh_and_A._K._Chhabra/Chapter15_1.ipynb M Principle_of_Communication_Engineering_by_A._Singh_and_A._K._Chhabra/Chapter1_1.ipynb M Principle_of_Communication_Engineering_by_A._Singh_and_A._K._Chhabra/Chapter2_1.ipynb M Principle_of_Communication_Engineering_by_A._Singh_and_A._K._Chhabra/Chapter3_1.ipynb M Principle_of_Communication_Engineering_by_A._Singh_and_A._K._Chhabra/Chapter5_1.ipynb M Principle_of_Communication_Engineering_by_A._Singh_and_A._K._Chhabra/Chapter6_1.ipynb M Principle_of_Communication_Engineering_by_A._Singh_and_A._K._Chhabra/Chapter7_1.ipynb M Principle_of_Communication_Engineering_by_A._Singh_and_A._K._Chhabra/Chapter8_1.ipynb M Principle_of_Communication_Engineering_by_A._Singh_and_A._K._Chhabra/Chapter9_1.ipynb M Principle_of_Communication_Engineering_by_A._Singh_and_A._K._Chhabra/screenshots/ctftch1.png M Principle_of_Communication_Engineering_by_A._Singh_and_A._K._Chhabra/screenshots/fourierTransch1.png M Principle_of_Communication_Engineering_by_A._Singh_and_A._K._Chhabra/screenshots/modulatedWaveChap3_1.png M Principles_of_Electronics_____by_V.K._Mehta_and_Rohit_Mehta/README.txt M Solid_State_Electronic_Devices_by_D.K_Bhattacharya_,_Rajnish_Sharma/Chapter10_1.ipynb M Solid_State_Electronic_Devices_by_D.K_Bhattacharya_,_Rajnish_Sharma/Chapter11_1.ipynb M Solid_State_Electronic_Devices_by_D.K_Bhattacharya_,_Rajnish_Sharma/Chapter12_1.ipynb M Solid_State_Electronic_Devices_by_D.K_Bhattacharya_,_Rajnish_Sharma/Chapter1_1.ipynb M Solid_State_Electronic_Devices_by_D.K_Bhattacharya_,_Rajnish_Sharma/Chapter2_1.ipynb M Solid_State_Electronic_Devices_by_D.K_Bhattacharya_,_Rajnish_Sharma/Chapter3_1.ipynb M Solid_State_Electronic_Devices_by_D.K_Bhattacharya_,_Rajnish_Sharma/Chapter4_1.ipynb M Solid_State_Electronic_Devices_by_D.K_Bhattacharya_,_Rajnish_Sharma/Chapter5_1.ipynb M Solid_State_Electronic_Devices_by_D.K_Bhattacharya_,_Rajnish_Sharma/Chapter6_1.ipynb M Solid_State_Electronic_Devices_by_D.K_Bhattacharya_,_Rajnish_Sharma/Chapter7_1.ipynb M Solid_State_Electronic_Devices_by_D.K_Bhattacharya_,_Rajnish_Sharma/Chapter8_1.ipynb M Solid_State_Electronic_Devices_by_D.K_Bhattacharya_,_Rajnish_Sharma/Chapter9_1.ipynb M Solid_State_Electronic_Devices_by_D.K_Bhattacharya_,_Rajnish_Sharma/chapter13_1.ipynb M Solid_State_Electronic_Devices_by_D.K_Bhattacharya_,_Rajnish_Sharma/chapter14_1.ipynb M Solid_State_Electronic_Devices_by_D.K_Bhattacharya_,_Rajnish_Sharma/screenshots/Chapter10.png M Solid_State_Electronic_Devices_by_D.K_Bhattacharya_,_Rajnish_Sharma/screenshots/Chapter1_1.png M Solid_State_Electronic_Devices_by_D.K_Bhattacharya_,_Rajnish_Sharma/screenshots/Chapter5.png M Solutions_to_Problems_in_Applied_Mechanics_by_A._N._Gobby/README.txt M Theory_of_Alternating_Current_Machinery_by_A._S._Langsdorf/README.txt M Thermodynamics_by_Gaggioli_and_Obert/Ch18.ipynb M Thermodynamics_by_Gaggioli_and_Obert/Ch8.ipynb M Thermodynamics_by_Gaggioli_and_Obert/ch1.ipynb M Thermodynamics_by_Gaggioli_and_Obert/ch10.ipynb M Thermodynamics_by_Gaggioli_and_Obert/ch11.ipynb M Thermodynamics_by_Gaggioli_and_Obert/ch12.ipynb M Thermodynamics_by_Gaggioli_and_Obert/ch13.ipynb M Thermodynamics_by_Gaggioli_and_Obert/ch14.ipynb M Thermodynamics_by_Gaggioli_and_Obert/ch15.ipynb M Thermodynamics_by_Gaggioli_and_Obert/ch16.ipynb M Thermodynamics_by_Gaggioli_and_Obert/ch17.ipynb M Thermodynamics_by_Gaggioli_and_Obert/ch2.ipynb M Thermodynamics_by_Gaggioli_and_Obert/ch3.ipynb M Thermodynamics_by_Gaggioli_and_Obert/ch5.ipynb M Thermodynamics_by_Gaggioli_and_Obert/ch7.ipynb M Thermodynamics_by_Gaggioli_and_Obert/ch9.ipynb M Thermodynamics_by_Gaggioli_and_Obert/screenshots/changeInMoisture14.png M Thermodynamics_by_Gaggioli_and_Obert/screenshots/degreeOfSaturation14.png M Thermodynamics_by_Gaggioli_and_Obert/screenshots/humidityratio14.png A Unified_Physics_by_S.L._Gupta,_Sanjeev_Gupta/Chapter1.ipynb A Unified_Physics_by_S.L._Gupta,_Sanjeev_Gupta/Chapter10.ipynb A Unified_Physics_by_S.L._Gupta,_Sanjeev_Gupta/Chapter11.ipynb A Unified_Physics_by_S.L._Gupta,_Sanjeev_Gupta/Chapter12.ipynb A Unified_Physics_by_S.L._Gupta,_Sanjeev_Gupta/Chapter14.ipynb A Unified_Physics_by_S.L._Gupta,_Sanjeev_Gupta/Chapter15.ipynb A Unified_Physics_by_S.L._Gupta,_Sanjeev_Gupta/Chapter16.ipynb A Unified_Physics_by_S.L._Gupta,_Sanjeev_Gupta/Chapter2.ipynb A Unified_Physics_by_S.L._Gupta,_Sanjeev_Gupta/Chapter3.ipynb A Unified_Physics_by_S.L._Gupta,_Sanjeev_Gupta/Chapter4.ipynb A Unified_Physics_by_S.L._Gupta,_Sanjeev_Gupta/Chapter5.ipynb A Unified_Physics_by_S.L._Gupta,_Sanjeev_Gupta/Chapter6.ipynb A Unified_Physics_by_S.L._Gupta,_Sanjeev_Gupta/Chapter7.ipynb A Unified_Physics_by_S.L._Gupta,_Sanjeev_Gupta/Chapter9.ipynb A Unified_Physics_by_S.L._Gupta,_Sanjeev_Gupta/screenshots/1.png A Unified_Physics_by_S.L._Gupta,_Sanjeev_Gupta/screenshots/2.png A Unified_Physics_by_S.L._Gupta,_Sanjeev_Gupta/screenshots/3.png M f_by_134/1_An_overview_of_C++.ipynb A f_by_134/1_An_overview_of_C++_1.ipynb A f_by_134/screenshots/anshul.png A f_by_134/screenshots/anshul_1.png A f_by_134/screenshots/anshul_2.png M f_by_134/screenshots/chapter14_eg3.png M f_by_134/screenshots/chapter14_eg6.png M f_by_134/screenshots/chapter14_eg6_1.png M f_by_df/ashvani.ipynb M f_by_df/chapter03_16.ipynb M f_by_df/chapter03_16_1.ipynb M f_by_df/screenshots/1.png M f_by_df/screenshots/2.png M f_by_df/screenshots/3.png M f_by_df/screenshots/chapter14_eg10.png M f_by_df/screenshots/chapter14_eg3.png M f_by_df/screenshots/chapter14_eg6.png M f_by_df/screenshots/image.png M f_by_df/screenshots/image_1.png M f_by_df/screenshots/image_2.png M sample_notebooks/AditiMalik/Chapter6.ipynb M sample_notebooks/IshitaGupta/Chapter12.ipynb M sample_notebooks/MeenaChandrupatla/Chapter2_Gases_2.ipynb M sample_notebooks/RONAKBANSAL/chapter_1.ipynb M sample_notebooks/SufiyanSiddique/Chapter2.ipynb M sample_notebooks/asmitaasmita/1_An_overview_of_C++.ipynb M sample_notebooks/asmitaasmita/1_An_overview_of_C++_1.ipynb A sample_notebooks/asmitaasmita/1_An_overview_of_C++_2.ipynb M sample_notebooks/chayas/DimensionsSystemUnits.ipynb
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+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# 12: X-ray Diffraction"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 1, Page number 323"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "wavelength of X-rays is 0.97938 angstrom\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration \n",
+ "n=1; #order\n",
+ "d=2.82*10**-10; #spacing(m)\n",
+ "theta=10*math.pi/180; #angle of diffraction(radian)\n",
+ "\n",
+ "#Calculations\n",
+ "lamda=2*d*math.sin(theta)/n; #wavelength of X-rays(m)\n",
+ "\n",
+ "#Result\n",
+ "print \"wavelength of X-rays is\",round(lamda*10**10,5),\"angstrom\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 2, Page number 323"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "wavelength of X-rays is 1.262 angstrom\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration \n",
+ "n=1; #order\n",
+ "d=3.035*10**-10; #spacing(m)\n",
+ "theta=12*math.pi/180; #angle of diffraction(radian)\n",
+ "\n",
+ "#Calculations\n",
+ "lamda=2*d*math.sin(theta)/n; #wavelength of X-rays(m)\n",
+ "\n",
+ "#Result\n",
+ "print \"wavelength of X-rays is\",round(lamda*10**10,3),\"angstrom\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 3, Page number 323"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "their wavelengths are 1.464 angstrom and 1.6525 angstrom\n",
+ "answer 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",
+ "d=2.81; #spacing(angstrom)\n",
+ "theta1=15.1*math.pi/180; #angle of diffraction(radian)\n",
+ "theta2=17.1*math.pi/180; #angle of diffraction(radian)\n",
+ "\n",
+ "#Calculations\n",
+ "lamda1=2*d*math.sin(theta1)/n; #wavelength(angstrom)\n",
+ "lamda2=2*d*math.sin(theta2)/n; #wavelength(angstrom)\n",
+ "\n",
+ "#Result\n",
+ "print \"their wavelengths are\",round(lamda1,3),\"angstrom and\",round(lamda2,4),\"angstrom\"\n",
+ "print \"answer in the book varies due to rounding off errors\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 4, Page number 324"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "spacing is 4.035 angstrom\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration \n",
+ "n=1; #order\n",
+ "lamda=1.54; #wavelength of X-rays(angstrom)\n",
+ "theta=11*math.pi/180; #angle of diffraction(radian)\n",
+ "\n",
+ "#Calculations\n",
+ "d=lamda/(2*math.sin(theta)); #spacing(angstrom)\n",
+ "\n",
+ "#Result\n",
+ "print \"spacing is\",round(d,3),\"angstrom\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 5, Page number 324"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 15,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "wavelength of line A is 1.593 angstrom\n",
+ "answer given in the book is wrong\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration \n",
+ "n1=1; #order\n",
+ "n2=3; #order\n",
+ "theta1=30*math.pi/180; #angle of diffraction(radian)\n",
+ "theta2=60*math.pi/180; #angle of diffraction(radian)\n",
+ "lamdaB=0.92; #wavelength(angstrom)\n",
+ "\n",
+ "#Calculations\n",
+ "lamdaA=n2*lamdaB*math.sin(theta1)/math.sin(theta2); #wavelength of line A(angstrom)\n",
+ "\n",
+ "#Result\n",
+ "print \"wavelength of line A is\",round(lamdaA,3),\"angstrom\"\n",
+ "print \"answer given in the book is wrong\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 6, Page number 324"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 23,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "wavelength of electrons is 0.7406 *10**-10 m\n",
+ "velocity of electrons is 9.793 *10**6 m/sec\n",
+ "answers given in the book are wrong\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration \n",
+ "n=1; #order\n",
+ "d=0.4086*10**-10; #spacing(m)\n",
+ "theta=65*math.pi/180; #angle of diffraction(radian)\n",
+ "m=9.1*10**-31; #mass(kg)\n",
+ "h=6.6*10**-34; #planks constant(Js)\n",
+ "\n",
+ "#Calculations\n",
+ "lamda=2*d*math.sin(theta)/n; #wavelength of electrons(m)\n",
+ "v=h/(m*lamda); #velocity of electrons(m/sec)\n",
+ "\n",
+ "#Result\n",
+ "print \"wavelength of electrons is\",round(lamda*10**10,4),\"*10**-10 m\"\n",
+ "print \"velocity of electrons is\",round(v/10**6,3),\"*10**6 m/sec\"\n",
+ "print \"answers given in the book are wrong\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 7, Page number 325"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 28,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "longest wavelength is 5.64 angstrom\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration \n",
+ "n=1; #order\n",
+ "d=2.82*10**-10; #spacing(m)\n",
+ "sintheta=1; #angle of diffraction(radian)\n",
+ "\n",
+ "#Calculations\n",
+ "lamdamax=2*d*sintheta/n; #longest wavelength(m)\n",
+ "\n",
+ "#Result\n",
+ "print \"longest wavelength is\",lamdamax*10**10,\"angstrom\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 8, Page number 325"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 33,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "glancing order is 26.599 degrees\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration \n",
+ "n1=1; #order\n",
+ "n2=3; #order\n",
+ "lamda=0.842*10**-10; #wavelength(m)\n",
+ "theta1=(8+(35/60))*math.pi/180; #angle of diffraction(radian)\n",
+ "\n",
+ "#Calculations\n",
+ "theta3=math.asin(n2*math.sin(theta1)); #glancing order(radian)\n",
+ "\n",
+ "#Result\n",
+ "print \"glancing order is\",round(theta3*180/math.pi,3),\"degrees\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 9, Page number 325"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 36,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "spacing in 1st case is 1.289 angstrom\n",
+ "spacing in 2nd case is 1.824 angstrom\n",
+ "spacing in 3rd case is 0.648 angstrom\n",
+ "answers given in the book are wrong\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration \n",
+ "n=1; #order\n",
+ "lamda=0.58; #wavelength of X-rays(angstrom)\n",
+ "theta1=6.45*math.pi/180; #angle of diffraction(radian)\n",
+ "theta2=9.15*math.pi/180; #angle of diffraction(radian)\n",
+ "theta1=13*math.pi/180; #angle of diffraction(radian)\n",
+ "\n",
+ "#Calculations\n",
+ "d1=lamda/(2*math.sin(theta1)); #spacing in 1st case(angstrom)\n",
+ "d2=lamda/(2*math.sin(theta2)); #spacing in 2nd case(angstrom)\n",
+ "d3=lamda/(2*math.sin(theta3)); #spacing in 3rd case(angstrom)\n",
+ "\n",
+ "#Result\"\n",
+ "print \"spacing in 1st case is\",round(d1,3),\"angstrom\"\n",
+ "print \"spacing in 2nd case is\",round(d2,3),\"angstrom\"\n",
+ "print \"spacing in 3rd case is\",round(d3,3),\"angstrom\"\n",
+ "print \"answers given in the book are wrong\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 10, Page number 326"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 39,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "seperation of adjacent atoms is 2.823 angstrom\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration \n",
+ "M=58.5; #molecular weight(kg/k-mole)\n",
+ "N=6.02*10**26; #avagadro number(mol/k-mole)\n",
+ "rho=2.16*10**3; #density(kg/m**3)\n",
+ "\n",
+ "#Calculations\n",
+ "d=(M/(2*N*rho))**(1/3); #seperation of adjacent atoms(m)\n",
+ "\n",
+ "#Result\n",
+ "print \"seperation of adjacent atoms is\",round(d*10**10,3),\"angstrom\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 11, Page number 327"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 45,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "lattice spacing is 2.7882 angstrom\n",
+ "avagadro number is 6.234 *10**26 mol/k-mole\n",
+ "answer 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",
+ "M=58.454; #molecular weight(kg/k-mole)\n",
+ "n=1; #order\n",
+ "rho=2163; #density(kg/m**3)\n",
+ "lamda=1.3922*10**-10; #wavelength(m)\n",
+ "theta=(14+(27/60)+(26/3600))*math.pi/180; #angle of diffraction(radian)\n",
+ "\n",
+ "#Calculations\n",
+ "d=n*lamda/(2*math.sin(theta)); #lattice spacing(m)\n",
+ "N=M/(2*rho*d**3); #avagadro number(mol/k-mole)\n",
+ "\n",
+ "#Result\n",
+ "print \"lattice spacing is\",round(d*10**10,4),\"angstrom\"\n",
+ "print \"avagadro number is\",round(N/10**26,3),\"*10**26 mol/k-mole\"\n",
+ "print \"answer in the book varies due to rounding off errors\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 12, Page number 327"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "orders of reflection is 1 : 2 : 3\n",
+ "spacing at first order is 2.8187 *10**-10 m\n",
+ "spacing at second order is 2.7805 *10**10 m\n",
+ "spacing at third order is 2.8143 *10**-10 m\n",
+ "mean value of crystal lattice spacing is 2.804 *10**-10 m\n",
+ "answers given in the book vary due to rounding off errors\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration \n",
+ "lamda=0.586*10**-10; #wavelength(m)\n",
+ "theta1=(5+(58/60))*math.pi/180; #angle of diffraction(radian)\n",
+ "theta2=(12+(10/60))*math.pi/180; #angle of diffraction(radian)\n",
+ "theta3=(18+(12/60))*math.pi/180; #angle of diffraction(radian)\n",
+ "\n",
+ "#Calculations\n",
+ "a=int(10*math.sin(theta1)); \n",
+ "b=int(10*math.sin(theta2)); \n",
+ "c=int(10*math.sin(theta3)); \n",
+ "d1=a*lamda/(2*math.sin(theta1)); #spacing at first order(m)\n",
+ "d2=b*lamda/(2*math.sin(theta2)); #spacing at second order(m)\n",
+ "d3=c*lamda/(2*math.sin(theta3)); #spacing at third order(m)\n",
+ "d=(d1+d2+d3)/3; #mean value of crystal lattice spacing(m)\n",
+ "\n",
+ "#Result\n",
+ "print \"orders of reflection is\",a,\":\",b,\":\",c\n",
+ "print \"spacing at first order is\",round(d1*10**10,4),\"*10**-10 m\"\n",
+ "print \"spacing at second order is\",round(d2*10**10,4),\"*10**10 m\"\n",
+ "print \"spacing at third order is\",round(d3*10**10,4),\"*10**-10 m\"\n",
+ "print \"mean value of crystal lattice spacing is\",round(d*10**10,3),\"*10**-10 m\"\n",
+ "print \"answers given in the book vary due to rounding off errors\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 13, Page number 328"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 27,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "ratio of spacing is 1 : 1 *math.sqrt(2) : 1 *math.sqrt(3)\n",
+ "the crystal is simple cubic crystal\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration \n",
+ "theta1=(5+(23/60))*math.pi/180; #angle of diffraction(radian)\n",
+ "theta2=(7+(37/60))*math.pi/180; #angle of diffraction(radian)\n",
+ "theta3=(9+(25/60))*math.pi/180; #angle of diffraction(radian)\n",
+ "\n",
+ "#Calculations\n",
+ "d1=math.sin(theta1); #spacing at first order(m)\n",
+ "d2=math.sin(theta2); #spacing at second order(m)\n",
+ "d3=math.sin(theta3); #spacing at third order(m)\n",
+ "x=d1/d1;\n",
+ "y=round(d2/(d1*math.sqrt(2)));\n",
+ "z=round(d3/(math.sqrt(3)*d1));\n",
+ "\n",
+ "#Result\n",
+ "print \"ratio of spacing is\",int(x),\":\",int(y),\"*math.sqrt(2) :\",int(z),\"*math.sqrt(3)\"\n",
+ "print \"the crystal is simple cubic crystal\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 14, Page number 328"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 50,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "wavelength of Kalpha is 0.589 angstrom\n",
+ "answer given in the book is wrong due to printing mistake\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration \n",
+ "M=58.46; #molecular weight(kg/k-mole)\n",
+ "N=6.02*10**26; #avagadro number(mol/k-mole)\n",
+ "rho=2170; #density(kg/m**3)\n",
+ "theta=6*math.pi/180; #angle of diffraction(radian)\n",
+ "n=1; #order\n",
+ "\n",
+ "#Calculations\n",
+ "d=(M/(2*N*rho))**(1/3); #seperation of adjacent atoms(m)\n",
+ "lamda=2*d*math.sin(theta)/n; #wavelength of Kalpha(m)\n",
+ "\n",
+ "#Result\n",
+ "print \"wavelength of Kalpha is\",round(lamda*10**10,3),\"angstrom\"\n",
+ "print \"answer given in the book is wrong due to printing mistake\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 15, Page number 329"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 59,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "spacing of crystal is 0.38 angstrom\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration \n",
+ "e=1.6*10**-19; #charge(coulomb)\n",
+ "E=344; #energy(V) \n",
+ "theta=60*math.pi/180; #angle of diffraction(radian)\n",
+ "n=1; #order\n",
+ "m=9*10**-31; #mass(kg)\n",
+ "h=6.62*10**-34; #planks constant(Js)\n",
+ "\n",
+ "#Calculations\n",
+ "lamda=h/math.sqrt(2*m*e*E); #wavelength(m)\n",
+ "d=n*lamda/(2*math.sin(theta)); #spacing of crystal(m)\n",
+ "\n",
+ "#Result\n",
+ "print \"spacing of crystal is\",round(d*10**10,2),\"angstrom\""
+ ]
+ }
+ ],
+ "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
+}