Answer to Question #76805 in Physical Chemistry for Tina

Question

5. Answer ALL parts a) — d).

The wavenumbers of the allowed rotational energy levels of a diatomic molecule are given by the equation
FJ = BJ(J+1)
a) State the factors that determine the rotational constant B for a molecule, and explain how changes in these factors would affect FJ .

b) Derive an equation for the difference in wavenumber ( ) between any two consecutive rotational energy levels.

The rotational constant for NO in the gas phase has a value of
1.705 cm 1. Calculate the wavenumber (in cm-1) of the first 4 rotational levels of NO and sketch them on an energy diagram.

d) State the specific selection rule for rotational energy level transitions for a linear molecule. Hence, draw a pure rotational spectrum for NO showing the wavenumbers of the first three transitions.

Answer 1

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