MG Jurado-Taracena - cp's OEIS frontend

User: MG Jurado-Taracena

MG Jurado-Taracena has authored 2 sequences.

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

MG Jurado-Taracena, Nov 10 2011

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.

M.G. Jurado-Taracena, "On Brillouin zones and related constructions", Rev. Mex. Fis. E, 57 (2011), 32-37.

Cf. A180603.

A199765 Number of Landsberg zones in the n-th Brillouin zone of a rectangular lattice.

Original entry on oeis.org

1, 4, 10, 12, 18, 26, 30, 34, 38, 42, 48, 50, 58, 68, 76, 72, 78

Offset: 1

MG Jurado-Taracena, Nov 10 2011

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.

M.G. Jurado-Taracena, "On Brillouin zones and related constructions", Rev. Mex. Fis. E, 57 (2011), 32-37.

Cf. A180603

cp's OEIS Frontend

User: MG Jurado-Taracena

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

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