Model Formula Sheet for Test 3 - PHYS 2213
c = 299792458
me = 9.109 10
34
m
h = 6.626 10
s
31
19
J s
eV = 1.602 10
27
kg
mp = 1.673 10
J
=
h
2
27
kg
mn = 1.675 10
kg
Relativity
1
( v ) =
x' = ( x v t)
v
1
c
y' = y
z' = z
t' = t
2
x = ( x' v
Physical Chemistry I
Homework Set #3
1. a) By direct operation of the L2 operator and the Lz operator on the spherical harmonic
1
2
Y
15
=
8
1/2
cos sin ei determine the eigenvalues for L2 and Lz .
Y m
2
Y m
2 2 Ym m
sin 2
*HINT: L2 Ym =
, LzY =