Discuss the differences between the rotational and

Chapter 42, Problem 8DQ

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QUESTION:

Discuss the differences between the rotational and vibrational energy levels of the deuterium (“heavy hydrogen”) molecule \(D_2\) and those of the ordinary hydrogen molecule \(H_2\). A deuterium atom has twice the mass of an ordinary hydrogen atom.

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QUESTION:

Discuss the differences between the rotational and vibrational energy levels of the deuterium (“heavy hydrogen”) molecule \(D_2\) and those of the ordinary hydrogen molecule \(H_2\). A deuterium atom has twice the mass of an ordinary hydrogen atom.

ANSWER:

Solution 8DQ

        Rotational energy level is given by =
        Since

        Therefore =  ……………..(1)

        Vibrational energy level is given by

        = (

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