Covalent Bonding: H2 Homework Problem 10-7

[klinetry]

Homework Statement

Other molecular orbital combinations, besides that in Problem 5, may be formed out of products like $$\Psi$$$$\footnotesize+$$(r1)$$\Psi$$$$\footnotesize-$$(r2) and $$\Psi$$$$\footnotesize-$$(r1)$$\Psi$$$$\footnotesize-$$(r2) times singlet or triplet spin functions. Five additional functions , all representing excited states, may be formed. What are these functions? Be sure they are all antisymmetric in electron coordinates. By writing these out in atomic functions and examining the form of the covalent part of each function, determine with care bonding and which are antibonding. Introduction to the Structure of matter: A course in Modern Physics problem 10-7.

Homework Equations

$$\Psi$$$$\footnotesize+/-$$=(1/sqrt(2))($$\phi$$(r-R/2)+/-phi(r-R/2) attempt at a solution[/b]
I'm not really sure where to start. I understand that I have the wave functions and I know what the single and triplet spin functions are, but I'm not sure how to use them.

 

[NateD]

Any help would be appreciated!The five additional functions are:1) \Psi\footnotesize+(r1)\Psi\footnotesize-(r2) times singlet spin function2) \Psi\footnotesize+(r1)\Psi\footnotesize-(r2) times triplet spin function3) \Psi\footnotesize-(r1)\Psi\footnotesize-(r2) times singlet spin function4) \Psi\footnotesize-(r1)\Psi\footnotesize-(r2) times triplet spin function5) \Psi\footnotesize+(r1)\Psi\footnotesize+(r2) times triplet spin functionThe covalent part of each function is antisymmetric in electron coordinates, so they are all bonding functions. The first four functions (\Psi\footnotesize+/-(r1)\Psi\footnotesize+/-(r2)) represent excited states, whereas the last function (\Psi\footnotesize+(r1)\Psi\footnotesize+(r2) times triplet spin function) represents a ground state.