MINIMAL-ENERGY CLUSTERS OF HARD-SPHERES

被引：98

作者：

SLOANE, NJA ^{[1
]}

HARDIN, RH ^{[1
]}

DUFF, TDS ^{[1
]}

CONWAY, JH ^{[1
]}

机构：

[1] PRINCETON UNIV,DEPT MATH,PRINCETON,NJ 08544

来源：

DISCRETE & COMPUTATIONAL GEOMETRY | 1995年 / 14卷 / 03期

关键词：

D O I：

10.1007/BF02570704

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

What is the tightest packing of N equal nonoverlapping spheres, in the sense of having minimal energy, i.e., smallest second moment about the centroid? The putatively optimal arrangements are described for N less than or equal to 32. A number of new and interesting polyhedra arise.

引用

页码：237 / 259

页数：23

共 40 条

[1] BOERDIJK AH, 1952, PHILIPS RES REP, V7, P303
[2] NEW TRELLIS CODES BASED ON LATTICES AND COSETS
CALDERBANK, AR
SLOANE, NJA
[J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 1987, 33 (02) : 177 - 195
[3] Campopiano C. N., 1962, IRE T COMMUN SYS, V10, P90
[4] CANNON J, 1993, INTRO MAGMA
[5] PENNY-PACKINGS WITH MINIMAL 2ND MOMENTS
CHOW, TY
[J]. COMBINATORICA, 1995, 15 (02) : 151 - 158
[6] Coleman T., 1993, Computational Optimization and Applications, V2, P145, DOI 10.1007/BF01299154
[7] A PARALLEL BUILDUP ALGORITHM FOR GLOBAL ENERGY MINIMIZATIONS OF MOLECULAR CLUSTERS USING EFFECTIVE ENERGY SIMULATED ANNEALING
COLEMAN, T
SHALLOWAY, D
WU, ZJ
[J]. JOURNAL OF GLOBAL OPTIMIZATION, 1994, 4 (02) : 171 - 185
[8] Croft H. T., 1991, UNSOLVED PROBLEMS GE, V1st
[9] DRUD AS, 1993, CONOPT USERS MANUAL
[10] NONCRYSTALLINE STRUCTURE OF ARGON CLUSTERS .1. POLYICOSAHEDRAL STRUCTURE OF ARN CLUSTERS, 20 LESS-THAN N LESS-THAN 50
FARGES, J
DEFERAUDY, MF
RAOULT, B
TORCHET, G
[J]. JOURNAL OF CHEMICAL PHYSICS, 1983, 78 (08) : 5067 - 5080

← 1 2 3 4 →