Measuring the momentum of one electronic state gives a distribution of momenta which are all separated by reciprocal lattice vectors.
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However, in these cases the Miller indices are conventionally defined relative to the lattice vectors of the cubic Cartesian directions.
13.
This is because there are 240 lattice vectors of minimum nonzero norm ( the roots of the E 8 lattice ).
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It is common to speak of the " type " of a Leech lattice vector : half the square norm.
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In accordance with Bragg's law, each ring corresponds to a particular reciprocal lattice vector G in the sample crystal.
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It is based on transform coding with adaptive time-resolution, adaptive bit-allocation and low complexity lattice vector quantization.
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In the course of this construction, one employs a Fock space that admits an action of vertex operators attached to lattice vectors.
18.
The electric or magnetic fields are expanded for each field component in terms of the Fourier series components along the reciprocal lattice vector.
19.
Phonon quasimomentum is defined as ! q and differs from normal momentum because it is only defined within an arbitrary reciprocal lattice vector.
20.
Similarly, the dielectric permittivity ( which is periodic along reciprocal lattice vector for photonic crystals ) is also expanded through Fourier series components.
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