2. Consider a helium atom. (a) Sketch the system and write the Hamiltonian. Denote the term(s) in the operator that make(s) the Schrödinger equation unsolvable. (b) Given an excited-state configuration 1s 2s', express all possible excited-state wavefunctions in terms of spatial and spin functions for the two electrons. For each, denote the symmetry of the overall wavefunction, the spatial component, and the spin component with respect to exchange.

Physical Chemistry
2nd Edition
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Ball, David W. (david Warren), BAER, Tomas
Chapter12: Atoms And Molecules
Section: Chapter Questions
Problem 12.25E
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2.
Consider a helium atom.
(a) Sketch the system and write the Hamiltonian. Denote the term(s) in the operator that
make(s) the Schrödinger equation unsolvable.
(b) Given an excited-state configuration 1s 2s', express all possible excited-state
wavefunctions in terms of spatial and spin functions for the two electrons. For each, denote
the symmetry of the overall wavefunction, the spatial component, and the spin component
with respect to exchange.
Transcribed Image Text:2. Consider a helium atom. (a) Sketch the system and write the Hamiltonian. Denote the term(s) in the operator that make(s) the Schrödinger equation unsolvable. (b) Given an excited-state configuration 1s 2s', express all possible excited-state wavefunctions in terms of spatial and spin functions for the two electrons. For each, denote the symmetry of the overall wavefunction, the spatial component, and the spin component with respect to exchange.
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