Consider the ion He₂^2+?(charge on each nucleus A or B is Z=2).

a) Using the diagram above write down the Hamiltonian for the He22+ ion explicitly including all kinetic energy and potential energy terms (Hint: it may be easier to work in atomic units)

b) He₂²⁺ is a multielectron molecular ion and, therefore, the wave function has to account for electron 2+ 2spin. The He₂²⁺ ion has electronic configuration (1?_g)² . Write down the Slater determinant for its ground state

c) Write down the Slater determinant for the ground state of the He-H⁺ ion. What is the same and what is different with the He₂²⁺ Slater determinant? Explain your answer.

d) Now consider adding an extra electron to He₂²⁺ to produce He₂⁺ . Write down the Slater determinant for He₂⁺.

Transcribed Image Text:

TAl A rei R P12 ГА2 B ег 182 TAl A rei R P12 ГА2 B ег 182