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## Q. 20.8

a. Write the term symbols that can occur for the excited $Be_{2}$ electron configuration

$(σ_{g}1s)^{2}(σ^{∗}_{u}1s)^{2}(σ_{g}2s)^{2}(σ^{∗}_{u}2s)(σ_{u}2p1)$

b. Which term will have the lowest energy?

c. What is the bond order for this electron configuration?

d. Do you think the $Be_{2}$ molecule could exist in the excited state corresponding to this electron configuration?

## Verified Solution

a. $M_{L}=1$ and there are two u orbitals, so that the term symbols are $^{3}Π_{g} and ^{1}Π_{g}.$

b. The lowest energy term symbol will have the maximum value of S, according to Hund’s rule: $^{3}Π_{g}$

c. Bond order =(1/2)(5 − 3) =1

d. Since the bond order is nonzero, the molecule should exist in this configuration.