a. Formulate a normalised Slater determinant for the following excited state of Li (Z = 3) with electron configuration 1s'2s².

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a. Formulate a normalised Slater
determinant for the following excited
state of Li (Z = 3) with electron
configuration 1s'2s².
b. Show that the spin orbital
$(r) = 2s(r)a(0), which descibes
the state of an electron with
a-spin in the 1s atomic orbital, is
normalised and that it is orthogonal
to the spin orbital o(r) = 2s(r)B(0).
%3D
Transcribed Image Text:a. Formulate a normalised Slater determinant for the following excited state of Li (Z = 3) with electron configuration 1s'2s². b. Show that the spin orbital $(r) = 2s(r)a(0), which descibes the state of an electron with a-spin in the 1s atomic orbital, is normalised and that it is orthogonal to the spin orbital o(r) = 2s(r)B(0). %3D
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