Differentiate between rotational energy levels, vibrational energy levels, and electronic energy levels.

What is the difference between electronic, vibrational, and rotational transitions?

7) Explain the basis of the Franck-Condon principle and how it leads to the formation of a vibrational progression.

Explain the importance of the quantization of vibrational, rotational, and translational energy as it relates to the behavior of atoms and molecules.

Arrange the following energies in order of increasing magnitude:  a) the typical energy of a covalent single bond; b) the mean molecular translational energy for a gas at room temperature; c) the mean rotational energy of a diatomic molecule at room temperature; d) the vibrational energy for a diatomic molecule at room temperature; e) the ionization energy of H.  Justify your order.

Explain Vibrational spectra of vibrating diatomic molecules

In a molecule of hydrogen iodide HI (HI is used in organic and inorganic synthesis as one of the main sources of iodine and as a reducing agent) the vibrational frequency of the molecule is 6.69x10^13 Hz. Iodine is much more heavier than hydrogen, so I can be considered immobile compared to H. Determine the expected value of the potential energy for the hydrogen atom in this molecule in the ground state. Use this to calculate the expected value of the kinetic energy.

Do you expect the fundamental vibrational frequency to be higher for HCl or NaCl? Explain.

Payal

A). A molecule can have various types of energies (translational, rotational, vibrational, and electronic), the sum of which is the molecule's total energy. ?trans=(?^2?+?^2?+?^2?)(ℎ^2/8??^2/3)   ?rot=?(?+1)ℎ^2/8?2?   ?vib=(?+1/2)(ℎ?)   In the equations, ??, ??, ??, ?, and ? are quantum numbers, ℎ is Planck's constant, ? is the mass of the molecule, ? is the volume of the container, ? is the moment of inertia of the molecule, and ? is the fundamental vibration frequency. For carbon monoxide, CO , the moment of inertia is ?=1.45×10−46 kg⋅m2, and the fundamental vibration frequency is ?=2130 cm−1. Let ?=12.8, and let all the quantum numbers be equal to 11 . Calculate the translational, rotational, and vibrational energies per mole of CO for these conditions. ?trans=      J/mol ?rot=         J/mol ?vib=         J/mol   B). If the electronic energy of CO is 9.14 eV per molecule, calculate the total energy of CO per mole. ?total=       J/mol   C). Which types of energy are…