The electric or magnetic fields are expanded for each field component in terms of the Fourier series components along the reciprocal lattice vector.
12.
Phonon quasimomentum is defined as ! q and differs from normal momentum because it is only defined within an arbitrary reciprocal lattice vector.
13.
Similarly, the dielectric permittivity ( which is periodic along reciprocal lattice vector for photonic crystals ) is also expanded through Fourier series components.
14.
A 2D data point is defined by the length of a reciprocal lattice vector and its ( acute ) angle with another reciprocal lattice vector.
15.
A 2D data point is defined by the length of a reciprocal lattice vector and its ( acute ) angle with another reciprocal lattice vector.
16.
The magnitude of the reciprocal lattice vector is given in reciprocal length and is equal to the reciprocal of the interplanar spacing of the real space planes.
17.
With the Fourier series coefficients being the K numbers subscripted by m, n respectively, and the reciprocal lattice vector given by \ vec { G }.
18.
The third parameter specifying the reciprocal lattice vector is the angle \ phi formed by the X-ray beam and the plane containing \ zeta and \ xi.
19.
When the values of the off-diagonal elements U _ { \ bold { G } } between the reciprocal lattice vectors in the Hamiltonian almost go to zero.
20.
As a result the aggregate will be split in high and low energy components when the kinetic energy increases and the wave vector approaches the length of the reciprocal lattice vectors.