Table 1 Irreducible representations (ireps) of point group D₆ (θ ≠ 30^∘) and D_6d (θ = 30^∘).

D₆

A₁

—

\({\psi }_{1}{\psi }_{2}^{* }+{\psi }_{1}^{* }{\psi }_{2}\), \({\psi }_{1}^{2}{\psi }_{2}^{* 2}+{\psi }_{1}^{* 2}{\psi }_{2}^{2}\)

B₁

x³ − 3xy²

ψ₁ + ψ₂

B₂

3x²y − y³

ψ₁ − ψ₂

D_6d

A₁

—

\({\psi }_{1}^{2}{\psi }_{2}^{* 2}+{\psi }_{1}^{* 2}{\psi }_{2}^{2}\)

E₃

{x³ − 3xy², 3x²y − y³}

{ψ₁ + ψ₂, ψ₁ − ψ₂}