Heavy water,

PHYSICS · Subjective · Fermi University Physics · Atomic, Molecular & Optical Physics · Molecular structure and spectra · Molecular structure and spectra

Deriving the Spectrum, Ch Polyatomic molecules: normal modes and symmetry

Problem

Heavy water,

\mathrm{D_2O}

, has the same shape and potential surface as

\mathrm{H_2O}

and fundamentals at

2671

1178

and

2788\,\mathrm{cm^{-1}}

. Treating each normal mode as an independent oscillator and letting the measured fundamentals stand in for the harmonic ones, find its vibrational zero-point energy in

\mathrm{cm^{-1}}

and in

\mathrm{eV}

, and express it as a fraction of water's

4504\,\mathrm{cm^{-1}}

found in this chapter.

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