The line of carbon monosulfide,

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

Deriving the Spectrum, Ch Diatomic rotation-vibration spectra and nuclear spin statistics

Problem

The

J = 1 \leftarrow 0

line of carbon monosulfide,

^{12}\mathrm{C}^{32}\mathrm{S}

, is measured at

48.990955\,\mathrm{GHz}

. Take atomic masses

12.00000\,\mathrm{u}

and

31.97207\,\mathrm{u}

and neglect centrifugal distortion. ((a)) Find

B_0

\mathrm{cm^{-1}}

. ((b)) Find the effective bond length

R_0

that this

B_0

implies. ((c)) The vibration-rotation constant is

\alpha_e = 0.00592\,\mathrm{cm^{-1}}

. Find

B_e

and the equilibrium bond length

R_e

, and state by how much

R_0

exceeds

R_e

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