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Question

# (a) Give the possible term symbols for (i) $L_{1}[H e] 2 s^{3},$ (ii) $\mathrm{Na}[\mathrm{Nc}] 3 \mathrm{p}^{3}.$ (b) Give the possible term symbols for (i) $\operatorname{Sc}[\mathrm{Ar}] 3 \mathrm{d}^{10} 4 \mathrm{s}^{2},$ (ii) $\mathrm{Br} [\mathrm{Ar}] 3 \mathrm{d}^{10} \mathrm{4s}^{2} 4 \mathrm{p}^{5}.$

Solution

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#### (a)

In this exercise, we have to give the possible term symbols for:

Li$[\mathrm{He}] 2 \mathrm{s}^{1}$

Na$[\mathrm{Ne}] 3 \mathrm{p}^{1}$

#### (i)

\begin{align*} &\mathrm{Li} [\mathrm{He}] 2 \mathrm{s}^{1}\\ &^{2S+1}\{\mathrm{L\}}_{\mathrm{J}}\\ &\left(2x \frac{1}{2}+1\right)_{S_{(0+1/2)}}\\ &^{2} S_{1/2}\\ \end{align*}

#### (ii)

$\mathrm{Na} [\mathrm{Ne}] 3\mathrm{p}^{1}$

$^{2s+1}\{L\} \mathrm{where} \mathrm{J}=\mathrm{L}+\mathrm{S}, \mathrm{L}-\mathrm{S}$

$^{(2 \cdot 1/2+1)} P_{(1+1/2)} \mathrm{and} \left(2 \cdot \frac{1}{2}+1\right)_{P}$

$^{2} P_{3/2} \mathrm{and} \left[^{2} \mathrm{P}_{1/2}\right]$

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