The 3-regular nets with four and six vertices per unit cell

被引：20

作者：

Bader, M

Klee, WE

Thimm, G

机构：

[1] UNIV KARLSRUHE,INST KRISTALLOG,D-76128 KARLSRUHE,GERMANY

[2] INST DALLE MOLLE INTELLIGENCE ARTIFICIELLE PERCEP,CH-1920 MARTIGNY,SWITZERLAND

来源：

ZEITSCHRIFT FUR KRISTALLOGRAPHIE | 1997年 / 212卷 / 08期

关键词：

D O I：

10.1524/zkri.1997.212.8.553

中图分类号：

O7 [晶体学];

学科分类号：

0702 ; 070205 ; 0703 ; 080501 ;

摘要：

The 3-regular (''3-connected'') nets with four and six vertices per unit cell are enumerated. The large number of nets obtained (five and 269, resp.) is in stark contrast to the small number (two and twelve:, resp.) which are of crystallographic interest. This subset of crystallographically interesting nets is characterized by special topological properties.

引用

页码：553 / 558

页数：6

共 8 条

[1] CYCLE CLASSES AS TOPOLOGICAL INVARIANTS OF CRYSTAL-STRUCTURES [J].

BEUKEMANN, A ;

KLEE, WE .

ZEITSCHRIFT FUR KRISTALLOGRAPHIE, 1994, 209 (09) :709-713

[2] PROPERTIES OF COORDINATION SEQUENCES AND CONCLUSIONS REGARDING THE LOWEST POSSIBLE DENSITY OF ZEOLITES [J].

BRUNNER, GO .

JOURNAL OF SOLID STATE CHEMISTRY, 1979, 29 (01) :41-45

[3]

CHUNG SJ, 1985, ACTA CRYSTALLOGR A, V40, P42

[4]

GROSSEKUNSTLEVE RW, IN PRESS ACTA CRYSTA

[5] SPHERE PACKINGS WITH 3 CONTACTS PER SPHERE AND THE PROBLEM OF THE LEAST DENSE SPHERE PACKING [J].

KOCH, E ;

FISCHER, W .

ZEITSCHRIFT FUR KRISTALLOGRAPHIE, 1995, 210 (06) :407-414

[6] DENSE AND RARE 4-CONNECTED NETS [J].

OKEEFFE, M .

ZEITSCHRIFT FUR KRISTALLOGRAPHIE, 1991, 196 (1-4) :21-37

[7]

Wells A.F, 1977, Three dimensional nets and polyhedra

[8]

WELLS AF, 1979, FURTHER STUDIES 3 DI

← 1 →