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A199765
Number of Landsberg zones in the n-th Brillouin zone of a rectangular lattice.
1
1, 4, 10, 12, 18, 26, 30, 34, 38, 42, 48, 50, 58, 68, 76, 72, 78
OFFSET
1,2
COMMENTS
This sequence enumerates the number of polygons that make up the n-th Brillouin zone of a two-dimensional rectangular lattice. Brillouin zones play an important role in the description of wave propagation in crystals. Their tiling of the lattice's fundamental domain is also known in physics as the "reduced zone scheme", so, alternatively, this sequence enumerates the number of "pieces" in the reduced zone scheme.
REFERENCES
M.G. Jurado-Taracena, "On Brillouin zones and related constructions", Rev. Mex. Fis. E, 57 (2011), 32-37.
CROSSREFS
Sequence in context: A107960 A310342 A310343 * A065056 A310344 A310345
KEYWORD
nonn,more
AUTHOR
MG Jurado-Taracena, Nov 10 2011
STATUS
approved