Question

Consider the following molecules: H2O, HOD and D2O (D = 2H). Which of the following correctly...

Consider the following molecules: H2O, HOD and D2O (D = 2H).

Which of the following correctly describes the relative ordering of their vibrational energy (including ZPVE) at 298 K?

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Answer #1

Energy = where v = stretching frequency

stretching frequency is given by

where u =reduced mass

so we see that vibrational frequency is inversely proportional to square root of reduced mass

increasing order of reduced mass is H2O < HOD < D2O

hence order of vibrational frequency v = D2O < HOD < H2O hence this also the order of energy

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