Lecture 1 Notes: Atom Composition
(a) Assumptions underlying the Bohr atom
(1)
Atoms can exist in stable states without radiating. The states have
discrete energies En, n = 1, 2, 3,., where n = 1 is t
Lecture 6 Notes: Transitions
m
Yl
Y ,l
m
l 0, 1, 2,.
,lmm
2l 1 l m !
4 l m !
Y2
4 1 2
0
5
3
Y
1
2
1
2
16
1
0
3cos2 1
1
cos
15 2
Y1
2
4
3
1
2
i
sin cose
8
1
1
Y
im
H Efor the rigid rotor problem.
1
Lecture 3 Notes: Deviation Values
xi x
th
xi x
Deviation of i
Average deviation from average value <x>
xi x
But for particle in a box,
xi x 2
0
Square of deviation of i
value <x>
xi x 2
x
2
xi x 2
No
Lecture 2 Notes: Uncertainty Principle
Consequences (II)
x p !
2
x
Heisenberg Uncertainty Principle
Consider diffraction through a single slit
x
D
s
peak-null
distance
l
light,
D
s
l
D l
s
Now consi
Lecture 4 Notes: Experiment
Success
Consider the rotation of two particles at a fixed distance R from one another:
r r R
1
2
m1
m1r1 m2 r2center of mass (COM)
r1
r2
COM
m2
These two particles could be
Lecture 7 Notes: MO Vectors
+
For the simple case of the one-electron bond in H2 we have seen that using the
LCAO principle together with the variational principle led to a recipe for
computing some a
Lecture 10 Notes: Magnetic Fields
Just as IR spectroscopy is the simplest example of transitions being induced by lights oscillating
electric field, so NMR is the simplest example of transitions induc
Lecture 9 Notes: Equilibrium Bonds
As weve emphasized many times in this course, within the Born
Oppenheimer approximation,
Harmonic
the nuclei move on a potential
Approximation
energy surface (PES)
R
Lecture 5 Notes: Commutation
Relations
2
Since L and Lz commute, they share common eigenfunctions. These functions are
extremely important for the description of angular momentum problems they
determi
Lecture 8 Notes: Polyatomic Molecules
In general, the vast majority polyatomic molecules can be thought of as
consisting of a collection of two-electron bonds between pairs of atoms. So the
qualitativ