hi mpb users,
i have seen several questions about the k-vectors of the irreducible brillouin
zone of the triangular lattice, however there were not sufficient answers for
them.
i have actually working on some photonic crystal structures that have C2v and
C4v symmetries instead of higher symmetric crystals such as square and circular
rods, so i have to change the edges of the irreducible brillouin zones however
i could not realize the reciprocal lattice vectors of the triangular lattice
example.
i do not understand why the b2 reciprocal lattice vector has 45 degrees between
the origin point, overall how can those two b1 and b2 vectors have 135 degrees
between them? (for triangular lattice example of the mpb, M point is ( 0 1/3 0)
and K point is (-1/3 1/3 0) ) is not there anything wrong about here? if it is
not could you give some more specific explanation about it? (because in the
photonic crystals: molding flow of the light book the reciprocal vectors are
shown different than the vectors in the example, the situation is same for the
mit open courses material of the nanophotonics lecture)
best regards
ahmet akosman
tobb university of economics and technology/ Ankara-Turkey
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