For the H2 molecule the equilibrium spacing of the two

Chapter 42, Problem 5E

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QUESTION:

Problem 5E

For the H2 molecule the equilibrium spacing of the two protons is 0.074 nm. The mass of a hydrogen atom is 1.67 × 10-27 kg. Calculate the wavelength of the photon emitted in the rotational transition l = 2 to l = 1.

Questions & Answers

QUESTION:

Problem 5E

For the H2 molecule the equilibrium spacing of the two protons is 0.074 nm. The mass of a hydrogen atom is 1.67 × 10-27 kg. Calculate the wavelength of the photon emitted in the rotational transition l = 2 to l = 1.

ANSWER:

Introduction

Here we have to first calculate the energy difference between the given two rotational state. Then we have to calculate the wavelength of the photon.

Step 1

The energy of any rotational level is given by

Where  is the moment of inertia, and is given by

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