Report on Notation for the Spectra of Polyatomic Molecules

F. A.

Jenkins

, , ().

G. Herzberg, Infrared and Raman Spectra of Polyatomic Molecules (D. Van Nostrand Company, Inc., New York, 1945). Other authors have given tables differing slightly in a few of the species symbols or definitions from those in Herzberg’s book.

See Minutes of Lund meeting, J. Opt. Soc. Am.

G. Placzek, in Marx’s Handbuch der Radiologie (Akademische Verlagsgesellschaft, Leipzig, Germany, 1934), Vol. VI, 2, p. 205; article on Raman spectra.

R. S.

Mulliken

, , ().

See, for example,

H.

Sponer

and

E.

Teller

, , ().

See

J. R.

Platt

, , ();

J. R.

Platt

, , , ().,

F.

Hund

, , ().

R. S.

Mulliken

, (a) , ();

(b)

R. S.

Mulliken

, , ().

See

R. S.

Mulliken

, , ();

but also see A. D. Walsh, J. Chem. Soc. 1953, 2266.

H.

Bethe

, [5], , ().

R. S.

Mulliken

, , ().

H.

Sponer

and

E.

Teller

, , ().

King

,

Hainer

, and

Cross

, , (),

have used $K −1 ,$ $K +1$ with the same respective meanings as $K a ,$ $K c$ [

R. S.

Mulliken

, , ()].

See reference 2, Chap. IV.

See

R. S.

Mulliken

and

E.

Teller

, , ().

See

J. B.

Coon

, , ().

See Reference 2, pp. 210, 370–371, 400, 447, 460, etc.

In reference 1, the definitions $Δ 1 F(J+ 1 2 ) = F(J+1)−F(J)$ and $Δ 1 G(υ+ 1 2 ) = G(υ+1)−G(υ)$ are recommended for diatomic molecules, but the often used simpler form recommended here seems preferable. The present definition of $Δ 1 F(J)$ is used in reference 2.

See reference 2, Chap. IV.

For diatomic band branches (see reference 1) a left superscript O, P, Q, R, or S is used to designate $ΔN$ when a loosely coupled electron spin is present. However, this practice, though convenient, is not really necessary, since when $δJ$ and the spin subscripts are given, the value of $ΔN$ is determined. To avoid confusion between $ΔK$ and $ΔN,$ it seems best in polyatomic spectra to use the left superscript only to denote $ΔK$ of nonlinear molecules.

See reference 5, page 35 and footnote 17 there.