à 154 5. The example in question 4 was for a singlet state, which use spin...
à 154 5. The example in question 4 was for a singlet state, which use spin 20 2px 2px 2pz wavefunctions to impart the antisymmetry property. For triplets, the This is a 1812s1 "space" wavefunctions are used to enforce the antisymmetry triplet state property. For example, the proper antisymmetric wavefunction for a 2s'1s1 spinup-spinup configuration is: (1.2) - 92s(r.)41s(2) – 42s (r2)4s(r)) 2)915}a(1)a(2) V2 2px 2py 2pz a. Let's see what happens if the two electrons are in the same state ZS This is a 182 as shown here (a 1s2 triplet, which is impossible). Please write out triplet state, and the correct wavefunction and show that Y = 0. Hint: just write out is not allowed! (1,2) above and make every "425" a "415". b. We can't make the spin wavefunctions symmetric if the space part is. As a result, there are three potential spin wavefunctions: a(1)a(2), B(1)(2) and a weird one: v2 Can you show that the spin parts of SlYspin' for PC (1) integrates to 1.0? To assist you, I have done an example for a(2)a(1): SlYspinſ' = S S{a(2)a(1)}" •a(2)a(1) = S a*(2)a(2). Sa'(1)a(1) = 1.0 1.0 = 1.0