Nodal surface approximations to the P, G, D and I-WP triply periodic minimal surfaces

被引:187
作者
Gandy, PJF
Bardhan, S
Mackay, AL
Klinowski, J
机构
[1] Univ Cambridge, Dept Chem, Cambridge CB2 1EW, England
[2] Univ London Birkbeck Coll, Dept Crystallog, London WC1E 7HX, England
关键词
D O I
10.1016/S0009-2614(00)01418-4
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
The cubic P, G, D and I-WP triply periodic minimal surfaces (TPMS) may be closely approximated using periodic nodal surfaces (PNS) with few Fourier terms, thus enabling easy generation of TPMS for use in various chemical and physical applications. The accuracy of such approximations is quantitatively discussed and represented visually using a colour coding. (C) 2001 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:187 / 195
页数:9
相关论文
共 34 条
[1]  
ALMGREN FJ, 1982, MATH INTELL, V4, P164
[2]   MINIMAL-SURFACES AND STRUCTURES - FROM INORGANIC AND METAL CRYSTALS TO CELL-MEMBRANES AND BIO-POLYMERS [J].
ANDERSSON, S ;
HYDE, ST ;
LARSSON, K ;
LIDIN, S .
CHEMICAL REVIEWS, 1988, 88 (01) :221-242
[3]  
BARNES I, 1990, AUSTR MATH SOC GAZET, V17, P99
[4]  
BARNES IS, 1990, J PHYS C SOLID STATE, V51, P7
[5]  
Brakke K., 1992, EXP MATH, V1, P141, DOI DOI 10.1080/10586458.1992.10504253
[6]   Using a structure envelope to facilitate structure solution from powder diffraction data [J].
Brenner, S ;
McCusker, LB ;
Baerlocher, C .
JOURNAL OF APPLIED CRYSTALLOGRAPHY, 1997, 30 (30) :1167-1172
[7]  
CVIJOVIC D, 1992, J PHYS I, V2, P2191, DOI 10.1051/jp1:1992276
[8]  
CVIJOVIC D, 1992, J PHYS I, V2, P2207, DOI 10.1051/jp1:1992102
[9]   THE COMPUTATION OF THE TRIPLY PERIODIC I-WP MINIMAL SURFACE [J].
CVIJOVIC, D ;
KLINOWSKI, J .
CHEMICAL PHYSICS LETTERS, 1994, 226 (1-2) :93-99
[10]   THE T-FAMILY AND CLP-FAMILY OF TRIPLY PERIODIC MINIMAL-SURFACES .1. DERIVATION OF PARAMETRIC EQUATIONS [J].
CVIJOVIC, D ;
KLINOWSKI, J .
JOURNAL DE PHYSIQUE I, 1992, 2 (02) :137-147