The components of the non-resonant part of one form of this quantity are given by the Kleinman relations. The phase shift arising from cross-phase modulation is proportional to the third-order component of this tensor quantity, which is also responsible for the DC Kerr effect. In centrosymmetric media, the even-order components of this quantity are zero, meaning sum frequency generation and second harmonic generation cannot occur. This tensor quantity is generalized into a series of coefficients
The components of the non-resonant part of one form of this quantity are given by the Kleinman relations. The phase shift arising from cross-phase modulation is proportional to the third-order component of this tensor quantity, which is also responsible for the DC Kerr effect. In centrosymmetric media, the even-order components of this quantity are zero, meaning sum frequency generation and second harmonic generation cannot occur. This tensor quantity is generalized into a series of coefficients which appear in the Taylor series expansion which characterizes nonlinear crystals. Relative permeability equals one plus another form of this quantity, which is negative for a diamagnet and positive for a paramagnet. For 10 points, name this quantity symbolized chi whose "electric" form gives the polarization of a material in response to an applied E-field, and whose "magnetic" form gives the magnetization of a material in response to an applied B-field.