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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.
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