Let 
represent the state of an electron with spin up and 
the state of an
electron with spin down. Valid spin eigenfunctions for a triplet state 
of a two-electron atom include which of
the following?
A. I only
B. II only
C. III only
D. I and III
E. II and III
Singlet state is anti-symmetric: ψ(1,2) = −ψ(2,1)
Triplet state is symmetric: ψ(1,2) = ψ(2,1)
is symmetric, because
is antisymmetric, because
is symmetric, because
Thus, II is singlet state, I and III are triplet state.
Answer: D
represent the state of an electron with spin up and the state of an
electron with spin down. Valid spin eigenfunctions for a triplet state of a two-electron atom include which of
the following?
A. I only
B. II only
C. III only
D. I and III
E. II and III
GR0177 #82)
Solution:Singlet state is anti-symmetric: ψ(1,2) = −ψ(2,1)
Triplet state is symmetric: ψ(1,2) = ψ(2,1)
is symmetric, because
is antisymmetric, because
is symmetric, because
Thus, II is singlet state, I and III are triplet state.
Answer: D
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