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-rwxr-xr-xModern_Physics/Chapter8.ipynb151
1 files changed, 52 insertions, 99 deletions
diff --git a/Modern_Physics/Chapter8.ipynb b/Modern_Physics/Chapter8.ipynb
index a12d49fc..ccbad1fd 100755
--- a/Modern_Physics/Chapter8.ipynb
+++ b/Modern_Physics/Chapter8.ipynb
@@ -1,7 +1,6 @@
{
"metadata": {
- "name": "",
- "signature": "sha256:8315bc6aae714998ec5db8a7cf2faf25a033ca960fbcf8e976cdfc44e47b09f3"
+ "name": "Chapter8"
},
"nbformat": 3,
"nbformat_minor": 0,
@@ -13,7 +12,7 @@
"level": 1,
"metadata": {},
"source": [
- "Chapter 8: Quantum Mechanics in Three Dimensions"
+ "Chapter 8:Many Electron Atoms"
]
},
{
@@ -21,33 +20,21 @@
"level": 2,
"metadata": {},
"source": [
- "Example 8.4, page no. 270"
+ "Example 8.1 Page 248"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
+ "#initiation of variable\n",
+ "hc=1240.0*10**-9;Rinfi=1.097*10**7;Z=11; #for sodium atom;and other constants in MeV\n",
"\n",
+ "#calculation\n",
+ "delE=3*hc*Rinfi*(Z-1)**2/4.0 #change in energy\n",
"\n",
- "import math\n",
- "\n",
- "#Variable declaration\n",
- "\n",
- "R = 1.0 #radius(m)\n",
- "T = 1.0 #period of revolution(s)\n",
- "m = 1.0 #mass of stone(kg)\n",
- "h = 1.055 * 10**-34 #planks constant (kg.m^2/s)\n",
- "\n",
- "#Calculation\n",
- "\n",
- "v = 2*math.pi*R/T\n",
- "L = m * v * R\n",
- "l = L / h\n",
- "\n",
- "#Results\n",
- "\n",
- "print \"The orbital quantum number l is\",round(l/10**34,2),\"X 10^34.\""
+ "#result\n",
+ "print\"The energy of the Ka x-ray of the sodium atom in KeV.is\",round(delE/10**3,3);\n"
],
"language": "python",
"metadata": {},
@@ -56,45 +43,38 @@
"output_type": "stream",
"stream": "stdout",
"text": [
- "The orbital quantum number l is 5.96 X 10^34.\n"
+ "The energy of the Ka x-ray of the sodium atom in KeV.is 1.02\n"
]
}
],
- "prompt_number": 2
+ "prompt_number": 1
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
- "Example 8.6, page no. 272"
+ "Example 8.2 Page 249"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
+ "#initiation of variable\n",
+ "EKa=21.990;EKb=25.145;EK=25.514 #all the values are in KeV\n",
"\n",
+ "#calcualtion\n",
+ "ELo=EKb-EKa;\n",
"\n",
- "import math\n",
- "\n",
- "#Variable declaration\n",
- "\n",
- "l = 3 #orbital quantum number\n",
+ "#result\n",
+ "print\"The energy of La of X-ray in KeV.is\",round(ELo,3); #Energy of La X-ray\n",
"\n",
- "#Calculation and results\n",
+ "#partb\n",
+ "EL=-EK+EKa;\n",
"\n",
- "L = math.sqrt(l*(l+1))\n",
- "print \"The allowed values of Lz are\"\n",
- "for i in range(-l,l+1):\n",
- " print i,\"h\"\n",
- "print \"The allowed values of theta are\"\n",
- "for i in range(-l,l+1):\n",
- " theta = round(math.acos(i/L)*180/math.pi,1)\n",
- " if theta > 90:\n",
- " print theta-180\n",
- " else:\n",
- " print theta"
+ "#result\n",
+ "print\"Hence the binding energy of the L electon in KeV.is\",round(EL,3); # for electron L electron"
],
"language": "python",
"metadata": {},
@@ -103,55 +83,35 @@
"output_type": "stream",
"stream": "stdout",
"text": [
- "The allowed values of Lz are\n",
- "-3 h\n",
- "-2 h\n",
- "-1 h\n",
- "0 h\n",
- "1 h\n",
- "2 h\n",
- "3 h\n",
- "The allowed values of theta are\n",
- "-30.0\n",
- "-54.7\n",
- "-73.2\n",
- "90.0\n",
- "73.2\n",
- "54.7\n",
- "30.0\n"
+ "The enrgy of La of X-ray in KeV.is 3.155\n",
+ "Hence the binding energy of the L electon in KeV.is -3.524\n"
]
}
],
- "prompt_number": 5
+ "prompt_number": 2
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
- "Example 8.7, page no. 281"
+ "Example 8.3 Page 250"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
+ "#initiation of variable\n",
+ "l=1.0; \n",
"\n",
+ "#calculation\n",
+ "Lmax=l+l;Lmin=l-l;\n",
+ "s=1.0/2; Smax=s+s;Smin=s-s;\n",
"\n",
- "#Variable declaration\n",
- "\n",
- "n = 2\n",
- "Z = 1\n",
- "\n",
- "#Calculation and results\n",
- " \n",
- "print \"The states of hydrogen atom are\"\n",
- "for i in range(n):\n",
- " for j in range(-i,i+1):\n",
- " print \"n = \",n,\"l = \",i,\"ml = \",j\n",
- "\n",
- "E2 = -13.6 * Z**2/n**2\n",
- "print \"All states have same energy of \",E2,\"eV.\""
+ "#result\n",
+ "print\"Value of L ranges from\",Lmin,\" to\",Lmax,\" i.e\",Lmin,1,Lmax;\n",
+ "print\"Values of S are maxi,min\",Smax,Smin;\n"
],
"language": "python",
"metadata": {},
@@ -160,47 +120,37 @@
"output_type": "stream",
"stream": "stdout",
"text": [
- "The states of hydrogen atom are\n",
- "n = 2 l = 0 ml = 0\n",
- "n = 2 l = 1 ml = -1\n",
- "n = 2 l = 1 ml = 0\n",
- "n = 2 l = 1 ml = 1\n",
- "All states have same energy of -3.4 eV.\n"
+ "Value of L ranges from 0.0 to 2.0 i.e 0.0 1 2.0\n",
+ "Values of S are maxi,min 1.0 0.0\n"
]
}
],
- "prompt_number": 9
+ "prompt_number": 5
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
- "Example 8.8, page no. 284"
+ "Example 8.4 Page 250"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
+ "#initiation of variable\n",
+ "l=1.0; \n",
"\n",
- "import scipy\n",
- "from scipy import integrate\n",
- "import math\n",
- "\n",
- "#Variable declaration\n",
- "\n",
- "z2 = lambda z: z**2 * math.e ** -z\n",
- "\n",
- "#Calculation\n",
- "inf = float('inf')\n",
- "integ,err = scipy.integrate.quad(z2,2.0,inf)\n",
- "P = integ * 0.5\n",
+ "#calculation\n",
+ "Lmax=l+l;Lmin=l-l;\n",
+ "s=1.0/2; Smax=s+s;Smin=s-s;\n",
"\n",
"#result\n",
- "\n",
- "print \"The probability is\",round(P,3)\n",
- "\n"
+ "print\"Considering any two electrons,Value of L2e ranges from\",Lmin,\" to\",Lmax,\" i.e\",Lmin,1,Lmax;\n",
+ "print\"Adding the angular momentum of the third electron to L2emax gives the maximum whole angular momentum as 2+1=3; and subtracting it from L2e=1 gives 0\"\n",
+ "print\"Values of S are maxi,min\",Smax,Smin;\n",
+ "print\"Adding and subtracting the spin of third to S2e=1 and S2e=0 respectively gives the spins 3/2 and 1/2 for the 3 electron system.\";"
],
"language": "python",
"metadata": {},
@@ -209,11 +159,14 @@
"output_type": "stream",
"stream": "stdout",
"text": [
- "The probability is 0.677\n"
+ "Considering any two electrons,Value of L2e ranges from 0.0 to 2.0 i.e 0.0 1 2.0\n",
+ "Adding the angular momentum of the third electron to L2emax gives the maximum whole angular momentum as 2+1=3; and subtracting it from L2e=1 gives 0\n",
+ "Values of S are maxi,min 1.0 0.0\n",
+ "Adding and subtracting the spin of third to S2e=1 and S2e=0 respectively gives the spins 3/2 and 1/2 for the 3 electron system.\n"
]
}
],
- "prompt_number": 7
+ "prompt_number": 6
}
],
"metadata": {}
generated by cgit (git 2.34.1) at 2024-12-20 21:55:09 +0000