A247446 - OEIS

A247446

Decimal expansion of Pi*sqrt(3)/16.

3, 4, 0, 0, 8, 7, 3, 8, 0, 7, 9, 3, 9, 1, 5, 8, 4, 6, 9, 8, 6, 3, 8, 9, 6, 7, 3, 3, 0, 7, 9, 0, 4, 1, 9, 9, 8, 0, 3, 2, 6, 2, 4, 2, 1, 5, 1, 7, 3, 8, 8, 8, 5, 7, 9, 1, 9, 3, 5, 3, 4, 2, 5, 3, 8, 5, 2, 7, 3, 0, 9, 6, 4, 6, 1, 1, 9, 1, 3, 5, 3, 1, 9, 0, 7, 7, 3, 4, 3, 5, 2, 8, 9, 7, 6, 1, 2, 8, 1, 6, 6, 0, 5, 4, 1, 7

(list; constant; graph; refs; listen; history; text; internal format)

OFFSET

0,1

COMMENTS

The atomic packing factor (APF) of the diamond cubic crystal lattice and the smallest APF among all crystallographic lattices filled by spheres of the same diameter. The APF of the body-centered-cubic (bcc) lattice packed with spheres of the same diameter is twice this value (see Examples). For other crystal lattices, see the cross-refs.

LINKS

Stanislav Sykora, Table of n, a(n) for n = 0..2000

Steve Sque, Structure of Diamond (adapted from 2005 thesis)

Wikipedia, Diamond cubic

Wikipedia, Atomic packing factor

Index entries for transcendental numbers

EXAMPLE

0.340087380793915846986389673307904199803262421517388857919353425385273...

APF of the bcc lattice packed with spheres of the same diameter:

0.680174761587831693972779346615808399606524843034777715838706850770546...

MATHEMATICA

RealDigits[Pi*Sqrt[3]/16, 10, 120][[1]] (* Vaclav Kotesovec, Oct 04 2014 *)