TY - JOUR
T1 - Symmetry and stability of icosahedral and other quasicrystalline phases
AU - Biham, Ofer
AU - Mukamel, David
AU - Shtrikman, S.
PY - 1986
Y1 - 1986
N2 - The stability of icosahedral, pentagonal, and other quasicrystalline phases to deformations which make them commensurate, and thus periodic, in one or more directions is analyzed. Although such deformations may be arbitrarily small, it is shown that quasicrystals are generically stable to them. Quasicrystals may therefore exist as thermodynamically stable phases. The possible symmetries which may arise in icosahedral structures when these deformations do take place are considered.
AB - The stability of icosahedral, pentagonal, and other quasicrystalline phases to deformations which make them commensurate, and thus periodic, in one or more directions is analyzed. Although such deformations may be arbitrarily small, it is shown that quasicrystals are generically stable to them. Quasicrystals may therefore exist as thermodynamically stable phases. The possible symmetries which may arise in icosahedral structures when these deformations do take place are considered.
UR - http://www.scopus.com/inward/record.url?scp=0006790085&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.56.2191
DO - 10.1103/PhysRevLett.56.2191
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:0006790085
SN - 0031-9007
VL - 56
SP - 2191
EP - 2194
JO - Physical Review Letters
JF - Physical Review Letters
IS - 20
ER -