A199766 Number of Landsberg zones in the n-th Brillouin zone of a rectangular centered lattice.

1, 6, 8, 14, 22, 24, 28, 36, 44, 48, 52, 52, 62, 70, 72, 76, 80

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

Table of n, a(n) for n=1..17.

Crossrefs

Cf. A180603.

Sequence in context: A160244 A315917 A315918 * A255844 A283403 A283350

Adjacent sequences: A199763 A199764 A199765 * A199767 A199768 A199769

Keyword

nonn,more

Author

MG Jurado-Taracena, Nov 10 2011

Status

approved