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A199766 Number of Landsberg zones in the n-th Brillouin zone of a rectangular centered lattice. 1
1, 6, 8, 14, 22, 24, 28, 36, 44, 48, 52, 52, 62, 70, 72, 76, 80 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
This sequence enumerates the number of polygons that make up the n-th Brillouin zone of a two-dimensional rectangular-centered 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.
LINKS
CROSSREFS
Cf. A180603.
Sequence in context: A160244 A315917 A315918 * A255844 A283403 A283350
KEYWORD
nonn,more
AUTHOR
MG Jurado-Taracena, Nov 10 2011
STATUS
approved

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Last modified June 20 13:44 EDT 2024. Contains 373527 sequences. (Running on oeis4.)