. 2013 May 20;4(6):909–916. doi: 10.1364/BOE.4.000909

Table 1. The Symmetry Groups and Corresponding Non-Zero Molecular Hyperpolarizabilities of the Harmonophores Together with the Symmetry Groups of the Calculated Susceptibilities^a.

Symmetry of the harmonophore	Non-zero β components	Symmetry of susceptibility	SHG-CD response
C_∞v, (β₂ = β₁)	zzz, zxx = zyy, xxz = xzx = yyz = yzy	C_∞v	no
C_∞v, (β₂ ≠ β₁)	zzz, zxx = zyy, xxz = xzx = yyz = yzy	C_∞	yes
C_2v, (β₂ = β₁)	zzz, zxx, zyy, xxz = xzx, yyz = yzy	C_∞	yes

^aThe possibility for SHG-CD responses is shown in the last column.

Table 1. The Symmetry Groups and Corresponding Non-Zero Molecular Hyperpolarizabilities of the Harmonophores Together with the Symmetry Groups of the Calculated Susceptibilitiesa.