

A181152


Decimal expansion of Madelung constant (negated) for the CsCl structure.


2



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

1,2


COMMENTS

This is often quoted for a different lattice constant and multiplied by 2/sqrt(3) = 1.1547... = 10*A020832, which gives 1.76267...*1.1547... = 2.03536151... given in Zucker's Table 5 as the alpha for the CsCl structure, and by Sakamoto as the M_d for the B2 lattice. Given Zucker's b(1) = 0.774386141424002815... = A185577, this constant here is sqrt(3)*(3*b(1)+A085469)/4.  R. J. Mathar, Jan 28 2011
The CsCl structure consists of two interpenetrating simple cubic lattices of ions with charges +1 and 1, together occupying all the sites of the bodycentered cubic lattice.  Andrey Zabolotskiy, Oct 21 2019


LINKS

Table of n, a(n) for n=1..87.
Leslie Glasser, SolidState Energetics and Electrostatics: Madelung Constants and Madelung Energies, Inorg. Chem., 2012, 51 (4), 24202424.
Y. Sakamoto, Madelung Constants of Simple Crystals ..., Journal of Chemical Physics, 28 (1958), 1645. Errata: J. Chem. Phys, 28 (1958), 733; J. Chem. Phys, 28 (1958), 1253.
I. J. Zucker, Madelung constants and lattice sums for invariant cubic lattice complexes and certain tetragonal structures, J. Phys. A: Math. Gen. 8 (11) (1975) 1734.
Wikipedia, Madelung constant


CROSSREFS

Cf. A085469, A088537, A090734.
Sequence in context: A323098 A068469 A276459 * A244920 A073011 A086312
Adjacent sequences: A181149 A181150 A181151 * A181153 A181154 A181155


KEYWORD

nonn,cons


AUTHOR

Leslie Glasser, Jan 24 2011


EXTENSIONS

More terms (using the above comment from R. J. Mathar and terms from the bfiles for A085469 and A185577) from Jon E. Schoenfield, Mar 10 2018
Definition corrected by Andrey Zabolotskiy, Oct 21 2019


STATUS

approved



