Preferred Label : hyperpolarizability (of nth order);
IUPAC definition : The energy of a molecule in an external electrostatic field can be expanded as \[E
E {{o}}- μ_{i}\ F_{i}- \frac{1}{2}\ α _{ij}\ F_{i}\ F_{j}- \frac{1}{6}\ β _{ijk}\
F_{i}\ F_{j}\ F_{k}- \frac{1}{24}\ γ _{ijkl}\ F_{i}\ F_{j}\ F_{k}\ F_{l}- {...}\]
where E o is the unperturbed energy, Fi is the component of the field in the i direction,
µ i is the permanent dipole moment, α i j is the polarizability tensor, and β i j
k and γ i j k l are the first and second hyperpolarizability tensors, respectively.
β is a third order symmetric tensor that measures the second order response of the
molecular electric dipole moment to the action of an external electric field and is
thus often referred to as dipole hyperpolarizability.;
Origin ID : HT07053;
See also
The energy of a molecule in an external electrostatic field can be expanded as \[E
E {{o}}- μ_{i}\ F_{i}- \frac{1}{2}\ α _{ij}\ F_{i}\ F_{j}- \frac{1}{6}\ β _{ijk}\
F_{i}\ F_{j}\ F_{k}- \frac{1}{24}\ γ _{ijkl}\ F_{i}\ F_{j}\ F_{k}\ F_{l}- {...}\]
where E o is the unperturbed energy, Fi is the component of the field in the i direction,
µ i is the permanent dipole moment, α i j is the polarizability tensor, and β i j
k and γ i j k l are the first and second hyperpolarizability tensors, respectively.
β is a third order symmetric tensor that measures the second order response of the
molecular electric dipole moment to the action of an external electric field and is
thus often referred to as dipole hyperpolarizability.
