Chemistry Reference
In-Depth Information
2. The dipole moment of the molecule changes during the course of a transition between
the states in such a way that its derivative with respect to the atomic displacements is
not zero.
3. The excited vibrational state has the same symmetry as
x
,
y
or
z
in the molecular point
group.
Further Reading
The mathematics of the IR selection rules and the use of the time-dependent Schrödinger
equation to discuss the actual transition event between the stationary states is covered in:
McQuarrie DA (2008)
Quantum Chemistry
, 2nd edn. University Science Books, Sausalito, CA
(ISBN 978-1-891389-50-4).
The standard properties of a whole host of mathematical functions, such as the Hermite
polynomials, are covered in:
Abramowitz M, Stegun IA (eds) (1970)
Handbook of Mathematical Functions
, Dover (ISBN 0-486-
61272-4).
