摘要: Possible modulated structures of icosahedral quasicrystals are investigated. The phases regarded as lower symmetric where the global symmetry is broken due to mode locking phason degrees freedom. With help group theory, nonvanishing fields calculated for all possible breaking. A modified projection scheme in presence obtained quasicrystalline with tetrahedral, pentagonal, and trigonal symmetries. Three ways generating a rational approximation quasicrystal discussed connection
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sci-hub.se 参考文章(27)
T. C. Lubensky, Joshua E. S. Socolar, Paul J. Steinhardt, Peter A. Bancel, Paul A. Heiney, Distortion and peak broadening in quasicrystal diffraction patterns. Physical Review Letters. ,vol. 57, pp. 1440- 1443 ,(1986) , 10.1103/PHYSREVLETT.57.1440
P. M. Horn, W. Malzfeldt, D. P. DiVincenzo, John Toner, R. Gambino, Systematics of disorder in quasiperiodic material. Physical Review Letters. ,vol. 57, pp. 1444- 1447 ,(1986) , 10.1103/PHYSREVLETT.57.1444
F. C. Frank, J. S. Kasper, COMPLEX ALLOY STRUCTURES REGARDED AS SPHERE PACKINGS. I. DEFINITIONS AND BASIC PRINCIPLES Acta Crystallographica. ,vol. 11, pp. 184- 190 ,(1958) , 10.1107/S0365110X58000487
F. C. Frank, J. S. Kasper, Complex alloy structures regarded as sphere packings. II. Analysis and classification of representative structures Acta Crystallographica. ,vol. 12, pp. 483- 499 ,(1959) , 10.1107/S0365110X59001499
Supercooling of Liquids Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences. ,vol. 215, pp. 43- 46 ,(1952) , 10.1098/RSPA.1952.0194
Marko V. Jarić, Landau theory of long-range orientational order Nuclear Physics. ,vol. 265, pp. 647- 670 ,(1986) , 10.1016/0550-3213(86)90334-2
Paul J. Steinhardt, David R. Nelson, Marco Ronchetti, Bond-orientational order in liquids and glasses Physical Review B. ,vol. 28, pp. 784- 805 ,(1983) , 10.1103/PHYSREVB.28.784
David R. Nelson, Order, frustration, and defects in liquids and glasses Physical Review B. ,vol. 28, pp. 5515- 5535 ,(1983) , 10.1103/PHYSREVB.28.5515
Christopher, L. Henley, Veit Elser, Quasicrystal structure of (Al, Zn)49Mg32 Philosophical Magazine Part B. ,vol. 53, ,(1986) , 10.1080/13642818608240638
P Bak, Commensurate phases, incommensurate phases and the devil's staircase Reports on Progress in Physics. ,vol. 45, pp. 587- 629 ,(1982) , 10.1088/0034-4885/45/6/001