Table 4.3
Assignment of quantum numbers, indices, and labels of rotational levels of a diatomic molecule in
2
P and
2
R states [41] ( Reproduced from M.A.
Alexander, G.C. Corey, J. Chem. Phys. 84,
100–113 (1986). https://doi.org/10.1063/1.450831, with the permission of AIP Publishing)
P states
a
Total angular
momentum
b
e
c
e/f
Total parity
gerade
s/a
ungerade
s/a
J + 1
+1
e
−
a
s
−1
f
+
s
a
J
+1
e
+
s
a
−1
f
−
a
s
R
+
states
R
−
states
N
d
e
e/f
Total parity
gerade
s/a
ungerade
s/a
e/f
Total parity
gerade
s/a
ungerade
s/a
J + 1
J + 1/2
+1
e
−
a
s
f
+
s
a
J + 3/2
−1
f
+
s
a
e
−
a
s
J
J− 1/2
+1
e
+
s
a
f
−
a
s
J + 1/2
−1
f
−
a
s
e
+
s
a
a
One assumes a pure Hund’s case (a) representation for a
P state. The assignments of the labels are identical for the
X = 1/2 and
X = 3/2;
b
It is assumed that the (J
– 1/2) level is even;
c
Symmetry index;
d
Nuclear rotational angular momentum, the Hund’s case (b) label.
110
4 Photolysis of Free Molecules