Question

The term symbol for the groundstate of the N2+ ion is 2Eg. What is the total spin angular momentum of the molecule?
Show that the term symbol agreres with the electron configuration that would be predicted by using the build - up principle

Answer 1

Answer on Question #55174 - Chemistry - General chemistry

Question:

The term symbol for the groundstate of the $N_2^+$ ion is $^2\Sigma g$. What is the total spin angular momentum of the molecule? Show that the term symbol agrees with the electron configuration that would be predicted by using the build-up principle.

Answer:

- $2S+1=2$

- $S=1/2$

- $\Sigma$ means, that the orbital angular momentum around the molecular axis is zero.

- $g$ means that the resulting wave function is unchanged

We predict the configuration $N_2:1\sigma^2 2\sigma^{2+} 1\pi^4 3\sigma^1$

which is in accord with the term symbol since $^2\Sigma g$ is an even function and all lower energy orbitals are filled, leaving one unpaired electron, thus $S = 1/2$

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