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k-space ; reciprocal space (Read 3068 times)
Gerrit-Jan Linker
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k-space ; reciprocal space
25.11.12 at 09:57:04
 
k-space ; reciprocal space
 
The reciprocal lattice of a lattice (usually a Bravais lattice) is the lattice in which the Fourier transform of the spatial wavefunction of the original lattice (or direct lattice) is represented. This space is also known as momentum space or less commonly k-space, due to the relationship between the Pontryagin duals momentum and position. The reciprocal lattice of a reciprocal lattice is the original or direct lattice.
 
If the direct space is spanned by vectors a1,a2,a3 its reciprocal space can be generated by the following three reciprocal primitive vectors:
 
b1 = (a2 x a3) 2π / V
b2 = (a3 x a1) 2π / V
b3 = (a1 x a2) 2π / V
 
V= a1 . (a2 x a3)
 
Source:
http://en.wikipedia.org/wiki/Reciprocal_lattice
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« Last Edit: 25.11.12 at 10:15:37 by Gerrit-Jan Linker »  

Gerrit-Jan Linker
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