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+{
+"cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Chapter 3: THE ATOMIC STRUCTURE"
+ ]
+ },
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 3.1: CALCULATE_DISTANCE_OF_CLOSEST_APPROACH.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"clc;clear;\n",
+"//Example 3.1\n",
+"\n",
+"//given values\n",
+"Z=79;//atomic number of gold\n",
+"e=1.6*10^-19;//electron charge in C\n",
+"Eo=8.854*10^-12;//absolute permitivity of free space in F/m\n",
+"K=7.68*1.6*10^-13;//kinectic energy in J\n",
+"pi=3.14;//standard constant \n",
+"\n",
+"//calculations\n",
+"D=(2*Z*e^2)/(4*pi*Eo*K);\n",
+"disp(D,'The closest distance(in m) of approach is')"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 3.2: CALCULATE_VELOCITY_RADIUS_TIME_TAKEN_AND_RYDBERG_CONST.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"clc;clear;\n",
+"//Example 3.2\n",
+"\n",
+"//given values\n",
+"Z=1;//atomic number of hydrogen\n",
+"e=1.6*10^-19;//electron charge in C\n",
+"pi=3.14;//standard constant\n",
+"h=6.625*10^-34;//plank's constant in J-s\n",
+"m=9.1*10^-31;//mass of an electron in kg\n",
+"Eo=8.854*10^-12;//absolute permitivity of free space in F/m\n",
+"c=3*10^8;//speed of light in m/s\n",
+"n=1;//ground state\n",
+"\n",
+"//calculation\n",
+"v=9*10^9*(2*pi*Z*e^2)/(n*h);\n",
+"disp(v,'velocity(in m/s) of ground state');\n",
+"r=(Eo*n^2*h^2)/(pi*m*e^2);\n",
+"disp(r,'radius(in m) of Bohr orbit in ground state')\n",
+"t=(2*pi*r)/v;\n",
+"disp(t,'time taken(in s) by electron to traverse the bohr first orbit');\n",
+"R=(m*e^4)/(8*Eo^2*h^3*c);\n",
+"disp(R,'Rhydberg contstant (in m^-1)')"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 3.3: CALCULATE_FREQUENCY.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"clc;clear;\n",
+"//Example 3.3\n",
+"\n",
+"//given values\n",
+"B=2.179*10^-16;//a constant in J\n",
+"h=6.625*10^-34;//plank's constant in J-s\n",
+"\n",
+"//calculation\n",
+"E3=-B/3^2;\n",
+"E2=-B/2^2;\n",
+"f=(E3-E2)/h;\n",
+"disp(f,'frequency(in Hz) of radiation')"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 3.4: CALCULATE_FREQUENCY_IN_FIRST_ORBIT.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"clc;clear;\n",
+"//Example 3.4\n",
+"\n",
+"//given values\n",
+"Z=1;//atomic number of hydrogen\n",
+"e=1.6*10^-19;//electron charge in C\n",
+"h=6.625*10^-34;//plank's constant in J-s\n",
+"m=9.1*10^-31;//mass of an electron in kg\n",
+"Eo=8.854*10^-12;//absolute permitivity of free space in F/m\n",
+"n=1;//ground state\n",
+"\n",
+"//Calculations\n",
+"f=(m*Z^2*e^4)/(4*Eo^2*h^3);\n",
+"disp(f,'the frequency(in Hz) is')"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 3.5: AT_WHAT_SPEED_MUST_ELECTRON.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"clc;clear;\n",
+"//Example 3.5\n",
+"\n",
+"//given data\n",
+"Z=1;\n",
+"n=1;\n",
+"e=1.6*10^-19;//the charge on electron in C\n",
+"h=6.625*10^-34;//Plank's constant\n",
+"Eo=8.854*10^-12;//absolute permitivity of free space in F/m\n",
+"m=9.12*10^-31;//mass of electron in kg\n",
+"\n",
+"//calculations\n",
+"v=Z*e^2/(2*Eo*n*h);\n",
+"disp(v,'velcocity in m/s');\n",
+"E=-m*Z^2*e^4/(8*(Eo*n*h)^2);\n",
+"disp(E,'energy of hydrogen atom in J');\n",
+"f=m*Z^2*e^4/(4*Eo^2*(n*h)^3);\n",
+"disp(f,'frequecy in Hz')"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 3.8: CALCULATE_PRINCIPAL_QUANTUM_NO_AND_WAVELENGTH.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"clc;clear;\n",
+"//Example 3.8\n",
+"\n",
+"//given data\n",
+"h=6.625*10^-34;//Plank's constant\n",
+"c=3*10^8;//speed of light in m/s\n",
+"E1=10.2;//in eV energy\n",
+"E2=12.09;//in eV energy\n",
+"e=1.6*10^-19;//the charge on electron in C\n",
+"\n",
+"//calcualtion\n",
+"//principal quantum no are 2 & 3 respectively\n",
+"W=c*h/(E1*e)*10^10;\n",
+"disp(W,'wavelength in angstrom is for 10.2 eV');\n",
+"W=c*h/(E2*e)*10^10;\n",
+"disp(W,'wavelength in angstrom is for 12.09 eV')"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 3.9: CALCULATE_WAVELENGTH_FOR_LYMAN_SERIES.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"clc;clear;\n",
+"//Example 3.9\n",
+"\n",
+"//given data\n",
+"R=10967700;//Rydberg constant in 1/m\n",
+"\n",
+"//calculation\n",
+"W1=4/(3*R);//as n1=1 and n2=2\n",
+"disp((W1*10^10),'Long wavelength in angstrom');\n",
+"W2=1/R;//as n1=1 and n2=infinity\n",
+"disp((W2*10^10),'Short wavelength in angstrom')"
+ ]
+ }
+],
+"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
+}
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