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. 2023 Jun 23;13(13):1912. doi: 10.3390/nano13131912

$Γ_{4 g} \otimes Γ_{2 u}$	$ψ_{1}^{3 u}$	$ψ_{2}^{3 u}$	$ψ_{3}^{3 u}$	$ψ_{1}^{4 u}$	$ψ_{2}^{4 u}$	$ψ_{3}^{4 u}$	$ψ_{4}^{4 u}$	$ψ_{1}^{5 u}$	$ψ_{2}^{5 u}$	$ψ_{3}^{5 u}$	$ψ_{4}^{5 u}$	$ψ_{5}^{5 u}$
$ϕ_{1}^{4 g} ϕ_{x}^{2 u}$	$0$	$1 / \sqrt{2}$	0	0	$0$	$1 / \sqrt{3}$	0	0	$1 / \sqrt{6}$	0	0	0
${ϕ_{1}^{4 g} ϕ}_{y}^{2 u}$	0	$0$	$1 / \sqrt{8}$	$1 / \sqrt{3}$	0	0	0	$0$	0	$\sqrt{3} / \sqrt{8}$	0	$- 1 / \sqrt{6}$
${ϕ_{1}^{4 g} ϕ}_{z}^{2 u}$	$0$	$1 / \sqrt{8}$	$0$	0	$- 1 / \sqrt{3}$	0	0	0	$- \sqrt{3} / \sqrt{8}$	0	$1 / \sqrt{6}$	0
$ϕ_{2}^{4 g} ϕ_{x}^{2 u}$	0	$0$	$1 / \sqrt{2}$	$0$	$0$	0	$1 / \sqrt{3}$	$0$	0	$- 1 / \sqrt{6}$	0	0
${ϕ_{2}^{4 g} ϕ}_{y}^{2 u}$	$0$	$1 / \sqrt{8}$	0	$0$	$1 / \sqrt{3}$	0	$0$	0	$- \sqrt{3} / \sqrt{8}$	0	$- 1 / \sqrt{6}$	0
${ϕ_{2}^{4 g} ϕ}_{z}^{2 u}$	0	$0$	$- 1 / \sqrt{8}$	$1 / \sqrt{3}$	0	$0$	0	$0$	$0$	$- \sqrt{3} / \sqrt{8}$	0	$- 1 / \sqrt{6}$
$ϕ_{3}^{4 g} ϕ_{x}^{2 u}$	0	0	$0$	$0$	$1 / \sqrt{3}$	0	$0$	$0$	$0$	0	$\sqrt{2} / \sqrt{3}$	0
${ϕ_{3}^{4 g} ϕ}_{y}^{2 u}$	0	$0$	$1 / \sqrt{8}$	0	0	$0$	$- 1 / \sqrt{3}$	$- 1 / \sqrt{2}$	0	$- 1 / \sqrt{24}$	0	0
${ϕ_{3}^{4 g} ϕ}_{z}^{2 u}$	$1 / \sqrt{2}$	$- 1 / \sqrt{8}$	0	$0$	$0$	$1 / \sqrt{3}$	$0$	0	$- 1 / \sqrt{24}$		0	0
$ϕ_{4}^{4 g} ϕ_{x}^{2 u}$	0	0	0	$- 1 / \sqrt{3}$	0	0	0	0	0	0	0	$- \sqrt{2} / \sqrt{3}$
${ϕ_{4}^{4 g} ϕ}_{y}^{2 u}$	$- 1 / \sqrt{2}$	$- 1 / \sqrt{8}$	0	0	0	$1 / \sqrt{3}$	0	0	$- 1 / \sqrt{2} 4$	0	0	0
${ϕ_{4}^{4 g} ϕ}_{z}^{2 u}$	0	0	$- 1 / \sqrt{8}$	0	0	0	$1 / \sqrt{3}$	$- 1 / \sqrt{2}$	0	$1 / \sqrt{2} 4$	0	0