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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
}
|
