21. Consider a nitrogen molecule (N2), which can be described as a dumbell consisting of two N-atoms of mass MN attached by a rigid rod of length a. For N2, a = 1.3Å. (a) Write down the Hamiltonian that describes the rotational motion of the molecule. (b) Solve for the energy spectrum (eigenvalues of Hamiltonian). (c) Evaluate the energy difference between the ground state and the first excited state and express your answer in eV.
21. Consider a nitrogen molecule (N2), which can be described as a dumbell consisting of two N-atoms of mass MN attached by a rigid rod of length a. For N2, a = 1.3Å. (a) Write down the Hamiltonian that describes the rotational motion of the molecule. (b) Solve for the energy spectrum (eigenvalues of Hamiltonian). (c) Evaluate the energy difference between the ground state and the first excited state and express your answer in eV.
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Transcribed Image Text:21. Consider a nitrogen molecule (N2), which can be described as a dumbell consisting of two N-atoms of mass MN
attached by a rigid rod of length a. For N2, a = 1.3Å.
(a) Write down the Hamiltonian that describes the rotational motion of the molecule.
(b) Solve for the energy spectrum (eigenvalues of Hamiltonian).
(c) Evaluate the energy difference between the ground state and the first excited state and express your answer in
eV.
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