N-DIMENSIONAL DIAMOND, SODALITE AND RARE SPHERE PACKINGS

被引:22
|
作者
OKEEFFE, M
机构
来源
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D O I
10.1107/S0108767391006633
中图分类号
O6 [化学];
学科分类号
0703 ;
摘要
The diamond, lonsdaleite and sodalite structures are generalized to N dimensions and described. Ring counts and coordination sequences for the N + 1-connected nets are given for N less-than-or-equal-to 6. Simple analytic expressions are given for coordination sequences for diamonds, sodalites and the primitive hypercubic lattice. Replacing the vertices of diamonds and sodalites by regular simplices produces rare (open) stable sphere packings; general expressions for the density of these are given.
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页码:748 / 753
页数:6
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