1. As we saw in class, quantum mechanics reproduce the rotational behavior of axiallydeformed molecules, atoms and nuclei with striking precision.i) From the Hamiltonian for a rigid rotor, calculate the excitation-energy ratiosE(4+)/E(2¹), E(6+)/E(4*) and E(8+)/E(6+) for the ground-state band and draw thecorresponding level scheme and gamma-ray energy spectrum assuming 75 keV forE(2+).ii) What are the typical energies for the first excitation of vibrational and rotationalnuclei?

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1. As we saw in class, quantum mechanics reproduce the rotational behavior of axially deformed molecules, atoms and nuclei with striking precision. i) From the Hamiltonian for a rigid rotor, calculate the excitation-energy ratios E(4+)/E(2+), E(6+)/E(4*) and E(8+)/E(6+) for the ground-state band and draw the corresponding level scheme and gamma-ray energy spectrum assuming 75 keV for E(2+). ii) What are the typical energies for the first excitation of vibrational and rotational nuclei?

1. As we saw in class, quantum mechanics reproduce the rotational behavior of axially deformed molecules, atoms and nuclei with striking precision. i) From the Hamiltonian for a rigid rotor, calculate the excitation-energy ratios E(4+)/E(2+), E(6+)/E(4*) and E(8+)/E(6+) for the ground-state band and draw the corresponding level scheme and gamma-ray energy spectrum assuming 75 keV for E(2+). ii) What are the typical energies for the first excitation of vibrational and rotational nuclei?