{
"metadata": {
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter 2 : Review of Atomic concepts, Atomic Models, and Periodic Table"
]
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Example 2.1 page no : 21"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"\n",
"# Variables\n",
"a1 = 1.0078;\t\t\t#atomic weight of H-1\n",
"a2 = 2.0143;\t\t\t#atomic weight of H-2\n",
"p1 = 99.985;\t\t\t#% of H-1\n",
"p2 = .015; \t\t\t#% of H-2\n",
"\n",
"# Calculations\n",
"a = ((a1*p1)+(a2*p2))/100\n",
"\n",
"# Results\n",
"print \"Average atomic weight of Hydrogen = %.3f\"%a\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Average atomic weight of Hydrogen = 1.008\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Example 2.2 page no : 24"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"# Variables\n",
"z = 79.; \t\t\t#atomic no. of gold\n",
"e = 7.68*1.6*10**-13;\t\t\t#ke in J\n",
"e_c = 1.6*10**-19;\t \t\t#charge of electron in C\n",
"e_0 = 8.854*10**-12;\t\t\t#permittivity F/m\n",
"\n",
"#Calculations\n",
"d = (2*e_c**2*z)/(4*3.14*e_0*e);\t\t\t#distance in m\n",
"\n",
"# Results\n",
"print \"distance (in m) = %.2e m\"%d\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"distance (in m) = 2.96e-14 m\n"
]
}
],
"prompt_number": 11
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Example 2.3 pageno : 24"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"import math \n",
"\n",
"# Variables\n",
"n = 44.;\t\t\t#no. of particles scattered per minute\n",
"a = 90.;\t\t\t#angle in degrees\n",
"b = 75.;\t\t\t#angle in degrees\n",
"d = 135.;\t\t\t#angle in degrees\n",
"\n",
"# Calculations\n",
"x = math.sin(math.radians(a/2));\n",
"c = n*x**4;\n",
"y = math.sin(math.radians(b/2));\n",
"n1 = c/y**4;\n",
"z = math.sin(math.radians(d/2));\n",
"n2 = c/z**4;\n",
"\n",
"# Results\n",
"print \"Proportionality constant = \",c\n",
"print \"No. of particles scattered at 75 degree (in per minute) = %d\"%n1\n",
"print \"No. of particles scattered at 135 degree (in per minute) = %d\"%n2\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Proportionality constant = 11.0\n",
"No. of particles scattered at 75 degree (in per minute) = 80\n",
"No. of particles scattered at 135 degree (in per minute) = 15\n"
]
}
],
"prompt_number": 3
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Example 2.4 pageno : 28"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"import math \n",
"\n",
"# Variables\n",
"n = 1. \t\t\t#first orbit\n",
"e_0 = 8.85*10**-12;\t\t\t#permittivity in freee space\n",
"h = 6.62*10**-34;\t\t\t#planck's consmath.tant\n",
"m = 9.1*10**-31;\t\t\t#mass of an electron in kg\n",
"e = 1.6*10**-19;\t\t\t#charge of an electron in C\n",
"z = 1.;\n",
"\n",
"# Calculations\n",
"r = n**2*e_0*h**2/(3.14*m*e**2*z);\t\t\t#radius of first orbit in m\n",
"r1 = r*10.**10;\t\t\t #radius in Angstorm\n",
"\n",
"# Results\n",
"print \"Radius of first orbit of electron in Hydrogen atom (in Angstorm) = %.2f A\"%r1\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Radius of first orbit of electron in Hydrogen atom (in Angstorm) = 0.53 A\n"
]
}
],
"prompt_number": 5
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Example 2.5 pageno : 28"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"import math \n",
"\n",
"# Variables\n",
"e_0 = 8.85*10**-12;\t\t\t#permittivity in freee space in sqC/N/sqm\n",
"h = 6.62*10**-34;\t\t\t#planck's constant in Js\n",
"m = 9.1*10**-31;\t\t\t#mass of an electron in kg\n",
"e = 1.6*10**-19;\t\t\t#charge of an electron in C\n",
"z = 1.;\t \t\t#for hydrogen\n",
"n = 1.;\n",
"\n",
"# Calculations\n",
"e = m*z**2*e**4/(8*e_0**2*h**2*n**2);\t\t\t#ionisation energy in J\n",
"e1 = e/(1.602*10**-19);\t\t\t #in eV\n",
"\n",
"# Results\n",
"print \"Ionisation Energy (in J) = %.2e J\"%e\n",
"print \"Ionisation Energy (in eV) = %.1f V\"%e1\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Ionisation Energy (in J) = 2.17e-18 J\n",
"Ionisation Energy (in eV) = 13.6 V\n"
]
}
],
"prompt_number": 7
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Example 2.6 page no : 32"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"# Variables\n",
"n = 4.; \t\t\t#fourth orbit\n",
"\n",
"# Calculations\n",
"a = (0+1)/n;\t\t\t#for s suborbit\n",
"b = (1+1)/n;\t\t\t#for p suborbit\n",
"c = (2+1)/n;\t\t\t#for d suborbit\n",
"d = (3+1)/n;\t\t\t#for f suborbit\n",
"\n",
"# Results\n",
"print \"For s suborbit b/a = \",a,\"a\"\n",
"print \"For p suborbit b/a = \",b,\"a\"\n",
"print \"For d suborbit b/a = \",c,\"a\"\n",
"print \"For f suborbit b/a = \",d,\"a\"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"For s suborbit b/a = 0.25 a\n",
"For p suborbit b/a = 0.5 a\n",
"For d suborbit b/a = 0.75 a\n",
"For f suborbit b/a = 1.0 a\n"
]
}
],
"prompt_number": 8
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Example 2.7 pageno : 33"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"# Variables\n",
"h = 6.62*10**-34;\t\t\t#planck's constant in Js\n",
"p = 10**-27;\t\t\t#uncertainity in momentum in kg m/s\n",
"\n",
"# Calculations\n",
"x = h/(2*3.14*p);\t\t\t#uncertainity in position in m\n",
"\n",
"# Results\n",
"print \"Minimum Uncertainity in Position (in m) = %.3e\"%x\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Minimum Uncertainity in Position (in m) = 1.054e-07\n"
]
}
],
"prompt_number": 10
}
],
"metadata": {}
}
]
}