Question
To find the energy levels of a diatomic molecule, one can solve this equation for the quantum harmonic oscillator. For 10 points each:
[10e] Name this partial differential equation whose time-independent form is written as “H-psi equals E-psi.”
ANSWER: Schrödinger equation
[10h] This model modifies the harmonic oscillator model by capping energy levels at the bond dissociation energy as internuclear separation approaches infinity.
ANSWER: Morse potential
[10m] The Morse potential is used to study the dynamics of these phenomena, which are described as Raman active if they induce a change in a molecule’s polarizability. These phenomena can be conducted with 3N minus 6 degrees of freedom in non-linear molecules with N atoms.
ANSWER: molecular vibrations [accept vibrational modes or vibrational transitions; accept descriptions indicating bonds vibrating; prompt on oscillations or oscillatory motions; prompt on motions; prompt on normal modes; anti-prompt on wagging or rocking or bending or twisting or stretching]
<Alex Li, Chemistry>
Summary
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