The band of the system of has its origin at

PHYSICS · Multi-part · Fermi University Physics · Atomic, Molecular & Optical Physics · Molecular structure and spectra · Molecular structure and spectra

Deriving the Spectrum, Ch Electronic spectra of diatomic molecules

Problem

The

(0,0)

band of the

B\,{}^2\Sigma_u^+ \leftarrow X\,{}^2\Sigma_g^+

system of

\mathrm{N}_2^+

has its origin at

\tilde\nu_0 = 25\,566.0\,\mathrm{cm^{-1}}

, with rotational constants

B' = 2.074\,\mathrm{cm^{-1}}

and

B'' = 1.922\,\mathrm{cm^{-1}}

. It is a

\Sigma

\Sigma

band, so it has only

P

and

R

branches. ((a)) Decide which branch forms a head, and find the lower-state

J

of the line that sits at the head (the integer

J

that gives the extreme line position). ((b)) Find how far the head lies from the band origin, and its wavenumber. ((c)) State the direction in which the band is degraded.

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