2. Start with the four possible two-electron spin functions:1Va = a (1) a (2)√2Vc= [a(1)B(2) + B(1)a (2)]=Vab = B(1)B(2)la(1)B(2) - B(1)a(2)]Evaluate each of these with the total z-component spin operator, Sz total = Sz1 + Śzz to findthe value of the total spin, which is the eigenvalue in Sz total(1,2)= Sz total(1,2). Keepin mind that S₂1 a(1) = 1/2 and S₂1 B(1) = -1/2; and that (A + B) = A + Bw.=

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2. Start with the four possible two-electron spin functions: 1 Va = a (1) a (2) = Wc= [a(1)B(2) + B(1)a(2)] √2 1 √2 Va [a(1)B(2) - B(1)a(2)] = b = B(1)B(2) Evaluate each of these with the total z-component spin operator, Sz total = Sz1 + $zz to find the value of the total spin, which is the eigenvalue in Sz total(1,2)= Sz total (1,2). Keep in mind that S₂₁ (1) = 1/2 and S₂1 B(1) = -1/2; and that (A + B) = A + By.

2. Start with the four possible two-electron spin functions: 1 Va = a (1) a (2) = Wc= [a(1)B(2) + B(1)a(2)] √2 1 √2 Va [a(1)B(2) - B(1)a(2)] = b = B(1)B(2) Evaluate each of these with the total z-component spin operator, Sz total = Sz1 + $zz to find the value of the total spin, which is the eigenvalue in Sz total(1,2)= Sz total (1,2). Keep in mind that S₂₁ (1) = 1/2 and S₂1 B(1) = -1/2; and that (A + B) = A + By.