Discussion
The INCORRECT statement is
Answer: C
The incorrect statement is The time independent Schrödinger equation for Li2+ cannot be solved exactly.
Li2+ has a single electron, so it is a hydrogen-like ion (Z = 3). Its Schrödinger equation separates exactly, like hydrogen's, giving energies \(E_{n} = -Z^{2}R_{H}/n^{2}\) and the familiar orbitals scaled by Z. Exact solution fails only for systems with two or more electrons, such as He or Li+, because of the electron-electron repulsion.
The other statements are true. The harmonic oscillator's zero-point energy is \(h\nu/2\). Rigid-rotor levels are \(E_{J} = J(J+1)\hbar^{2}/2I\), inversely proportional to the moment of inertia. The total angular momentum is the (vector) sum of the orbital and spin angular momenta, \(\mathbf{J} = \mathbf{L} + \mathbf{S}\).
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