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A199765 Number of Landsberg zones in the n-th Brillouin zone of a rectangular lattice. 0

%I

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

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

%C 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.

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

%Y Cf. A180603

%K nonn,more

%O 1,2

%A _MG Jurado-Taracena_, Nov 10 2011

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Last modified June 18 07:33 EDT 2019. Contains 324203 sequences. (Running on oeis4.)