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Volumn 111, Issue 50, 2014, Pages 17723-17731

Sphericity and symmetry breaking in the formation of Frank-Kasper phases from one component materials

Author keywords

Block polymers; Frank Kasper phases; Sphericity; Symmetry breaking

Indexed keywords

COPOLYMER; INTERLEUKIN 15; MANGANESE; POLY(ISOPRENE B LACTIDE); UNCLASSIFIED DRUG; URANIUM;

EID: 84918506515     PISSN: 00278424     EISSN: 10916490     Source Type: Journal    
DOI: 10.1073/pnas.1408678111     Document Type: Article
Times cited : (235)

References (60)
  • 1
    • 0000072605 scopus 로고
    • Quasicrystals: A new class of ordered structures
    • Levine D, Steinhardt PJ (1984) Quasicrystals: A new class of ordered structures. Phys Rev Lett 53(26):2477-2480.
    • (1984) Phys Rev Lett , vol.53 , Issue.26 , pp. 2477-2480
    • Levine, D.1    Steinhardt, P.J.2
  • 2
    • 33751141500 scopus 로고
    • Metallic phase with long-range orientational order and no translational symmetry
    • Shechtman D, Blech I, Gratias D, Cahn JW (1984) Metallic phase with long-range orientational order and no translational symmetry. Phys Rev Lett 53(20):1951-1953.
    • (1984) Phys Rev Lett , vol.53 , Issue.20 , pp. 1951-1953
    • Shechtman, D.1    Blech, I.2    Gratias, D.3    Cahn, J.W.4
  • 3
    • 0000802134 scopus 로고
    • Complex alloy structures regarded as sphere packings. I. Definitions and basic principles
    • Frank FC, Kasper JS (1958) Complex alloy structures regarded as sphere packings. I. Definitions and basic principles. Acta Crystallogr 11(3):184-190.
    • (1958) Acta Crystallogr , vol.11 , Issue.3 , pp. 184-190
    • Frank, F.C.1    Kasper, J.S.2
  • 4
    • 0000802136 scopus 로고
    • Complex alloy structures regarded as sphere packings. II. Analysis and classification of representative structures
    • Frank FC, Kasper JS (1959) Complex alloy structures regarded as sphere packings. II. Analysis and classification of representative structures. Acta Crystallogr 12(7):483-499.
    • (1959) Acta Crystallogr , vol.12 , Issue.7 , pp. 483-499
    • Frank, F.C.1    Kasper, J.S.2
  • 6
    • 0001848964 scopus 로고
    • The space groups of icosahedral quasicrystals and cubic, orthorhombic, monoclinic, and triclinic crystals
    • Mermin ND (1992) The space groups of icosahedral quasicrystals and cubic, orthorhombic, monoclinic, and triclinic crystals. Rev Mod Phys 64(1):3-49.
    • (1992) Rev Mod Phys , vol.64 , Issue.1 , pp. 3-49
    • Mermin, N.D.1
  • 7
    • 79958816190 scopus 로고    scopus 로고
    • New types of multishell nanoclusters with a Frank-Kasper polyhedral core in intermetallics
    • Blatov VA, Ilyushin GD, Proserpio DM (2011) New types of multishell nanoclusters with a Frank-Kasper polyhedral core in intermetallics. Inorg Chem 50(12):5714-5724.
    • (2011) Inorg Chem , vol.50 , Issue.12 , pp. 5714-5724
    • Blatov, V.A.1    Ilyushin, G.D.2    Proserpio, D.M.3
  • 8
    • 70749104795 scopus 로고    scopus 로고
    • Site occupation in the Cr-Ru and Cr-Os σ phases
    • Sluiter MHF, Pasturel A (2009) Site occupation in the Cr-Ru and Cr-Os σ phases. Phys Rev B 80(13):134122.
    • (2009) Phys Rev B , vol.80 , Issue.13 , pp. 134122
    • Sluiter, M.H.F.1    Pasturel, A.2
  • 9
    • 84857887700 scopus 로고    scopus 로고
    • Comparison of the site occupancies determined by combined Rietveld refinement and density functional theory calculations: Example of the ternary Mo-Ni-Re σ phase
    • Yaqoob K, Crivello J-C, Joubert J-M (2012) Comparison of the site occupancies determined by combined Rietveld refinement and density functional theory calculations: example of the ternary Mo-Ni-Re σ phase. Inorg Chem 51(5):3071-3078.
    • (2012) Inorg Chem , vol.51 , Issue.5 , pp. 3071-3078
    • Yaqoob, K.1    Crivello, J.-C.2    Joubert, J.-M.3
  • 10
    • 0141676791 scopus 로고    scopus 로고
    • Understanding the complex metallic element Mn. I. Crystalline and noncollinear magnetic structure of α-Mn
    • Hobbs D, Hafner J, Spišák D (2003) Understanding the complex metallic element Mn. I. Crystalline and noncollinear magnetic structure of α-Mn. Phys Rev B 68(1):014407.
    • (2003) Phys Rev B , vol.68 , Issue.1 , pp. 014407
    • Hobbs, D.1    Hafner, J.2    Spišák, D.3
  • 11
    • 0141788739 scopus 로고    scopus 로고
    • Understanding the complex metallic element Mn. II. Geometric frustration in β-Mn, phase stability, and phase transitions
    • Hafner J, Hobbs D (2003) Understanding the complex metallic element Mn. II. Geometric frustration in β-Mn, phase stability, and phase transitions. Phys Rev B 68(1):014408.
    • (2003) Phys Rev B , vol.68 , Issue.1 , pp. 014408
    • Hafner, J.1    Hobbs, D.2
  • 13
    • 0037458898 scopus 로고    scopus 로고
    • Giant supramolecular liquid crystal lattice
    • Ungar G, Liu Y, Zeng X, Percec V, Cho W-D (2003) Giant supramolecular liquid crystal lattice. Science 299(5610):1208-1211.
    • (2003) Science , vol.299 , Issue.5610 , pp. 1208-1211
    • Ungar, G.1    Liu, Y.2    Zeng, X.3    Percec, V.4    Cho, W.-D.5
  • 14
    • 0031561077 scopus 로고    scopus 로고
    • Micellar cubic phases and their structural relationships: The nonionic surfactant system C12EO12/water
    • Sakya P, Seddon JM, Templer RH, Mirkin RJ, Tiddy GJT (1997) Micellar cubic phases and their structural relationships: The nonionic surfactant system C12EO12/water. Langmuir 13(14):3706-3714.
    • (1997) Langmuir , vol.13 , Issue.14 , pp. 3706-3714
    • Sakya, P.1    Seddon, J.M.2    Templer, R.H.3    Mirkin, R.J.4    Tiddy, G.J.T.5
  • 15
    • 34547261927 scopus 로고    scopus 로고
    • Polymeric quasicrystal: Mesoscopic quasicrystalline tiling in ABC star polymers
    • Hayashida K, Dotera T, Takano A, Matsushita Y (2007) Polymeric quasicrystal: Mesoscopic quasicrystalline tiling in ABC star polymers. Phys Rev Lett 98(19):195502.
    • (2007) Phys Rev Lett , vol.98 , Issue.19 , pp. 195502
    • Hayashida, K.1    Dotera, T.2    Takano, A.3    Matsushita, Y.4
  • 16
    • 79952157101 scopus 로고    scopus 로고
    • Colloidal quasicrystals with 12-fold and 18-fold diffraction symmetry
    • Fischer S, et al. (2011) Colloidal quasicrystals with 12-fold and 18-fold diffraction symmetry. Proc Natl Acad Sci USA 108(5):1810-1814.
    • (2011) Proc Natl Acad Sci USA , vol.108 , Issue.5 , pp. 1810-1814
    • Fischer, S.1
  • 17
    • 26444546472 scopus 로고    scopus 로고
    • Frank-Kasper, quasicrystalline and related phases in liquid crystals
    • Ungar G, Zeng X (2005) Frank-Kasper, quasicrystalline and related phases in liquid crystals. Soft Matter 1(2):95-106.
    • (2005) Soft Matter , vol.1 , Issue.2 , pp. 95-106
    • Ungar, G.1    Zeng, X.2
  • 18
    • 1642399625 scopus 로고    scopus 로고
    • Supramolecular dendritic liquid quasicrystals
    • Zeng X, et al. (2004) Supramolecular dendritic liquid quasicrystals. Nature 428(6979):157-160.
    • (2004) Nature , vol.428 , Issue.6979 , pp. 157-160
    • Zeng, X.1
  • 19
    • 84860857220 scopus 로고    scopus 로고
    • Dodecagonal quasicrystalline morphology in a poly(styrene-b-isoprene-b-styrene-b-ethylene oxide) tetrablock terpolymer
    • Zhang J, Bates FS (2012) Dodecagonal quasicrystalline morphology in a poly(styrene-b-isoprene-b-styrene-b-ethylene oxide) tetrablock terpolymer. J Am Chem Soc 134(18):7636-7639.
    • (2012) J Am Chem Soc , vol.134 , Issue.18 , pp. 7636-7639
    • Zhang, J.1    Bates, F.S.2
  • 21
    • 0037453427 scopus 로고    scopus 로고
    • On the origins of morphological complexity in block copolymer surfactants
    • Jain S, Bates FS (2003) On the origins of morphological complexity in block copolymer surfactants. Science 300(5618):460-464.
    • (2003) Science , vol.300 , Issue.5618 , pp. 460-464
    • Jain, S.1    Bates, F.S.2
  • 22
    • 4444340443 scopus 로고
    • Block copolymer thermodynamics: Theory and experiment
    • Bates FS, Fredrickson GH (1990) Block copolymer thermodynamics: Theory and experiment. Annu Rev Phys Chem 41(1):525-557.
    • (1990) Annu Rev Phys Chem , vol.41 , Issue.1 , pp. 525-557
    • Bates, F.S.1    Fredrickson, G.H.2
  • 23
    • 77957951295 scopus 로고    scopus 로고
    • Discovery of a Frank-Kasper ó phase in sphereforming block copolymer melts
    • Lee S, Bluemle MJ, Bates FS (2010) Discovery of a Frank-Kasper ó phase in sphereforming block copolymer melts. Science 330(6002):349-353.
    • (2010) Science , vol.330 , Issue.6002 , pp. 349-353
    • Lee, S.1    Bluemle, M.J.2    Bates, F.S.3
  • 24
    • 84881665641 scopus 로고    scopus 로고
    • Fluctuations, order, and disorder in short diblock copolymers
    • Lee S, Gillard TM, Bates FS (2013) Fluctuations, order, and disorder in short diblock copolymers. AIChE J 59(9):3502-3513.
    • (2013) AIChE J , vol.59 , Issue.9 , pp. 3502-3513
    • Lee, S.1    Gillard, T.M.2    Bates, F.S.3
  • 26
    • 0346395110 scopus 로고
    • Granulation, phase change, and microstructure kinetics of phase change. III
    • Avrami M (1941) Granulation, phase change, and microstructure kinetics of phase change. III. J Chem Phys 9(2):177-184.
    • (1941) J Chem Phys , vol.9 , Issue.2 , pp. 177-184
    • Avrami, M.1
  • 28
    • 0033744330 scopus 로고    scopus 로고
    • Lattice disordering/ordering and demicellization/micellization transitions in highly asymmetric polystyrene-block-polyisoprene copolymers
    • Han CD, et al. (2000) Lattice disordering/ordering and demicellization/micellization transitions in highly asymmetric polystyrene-block-polyisoprene copolymers. Macromolecules 3(10):3767-3780.
    • (2000) Macromolecules , vol.3 , Issue.10 , pp. 3767-3780
    • Han, C.D.1
  • 29
    • 0037126780 scopus 로고    scopus 로고
    • The order-disorder transition and the disordered micelle regime for poly(ethylenepropylene-b-dimethylsiloxane) spheres
    • Wang X, Dormidontova EE, Lodge TP (2002) The order-disorder transition and the disordered micelle regime for poly(ethylenepropylene-b-dimethylsiloxane) spheres. Macromolecules 35(26):9687-9697.
    • (2002) Macromolecules , vol.35 , Issue.26 , pp. 9687-9697
    • Wang, X.1    Dormidontova, E.E.2    Lodge, T.P.3
  • 31
    • 0348046829 scopus 로고    scopus 로고
    • Block copolymers-designer soft materials
    • Bates FS, Fredrickson GH (1999) Block copolymers-designer soft materials. Phys Today 52(2):32-38.
    • (1999) Phys Today , vol.52 , Issue.2 , pp. 32-38
    • Bates, F.S.1    Fredrickson, G.H.2
  • 32
    • 0031559107 scopus 로고    scopus 로고
    • Block copolymer microstructures in the intermediate-segregation regime
    • Matsen MW, Bates FS (1997) Block copolymer microstructures in the intermediate-segregation regime. J Chem Phys 106(6):2436-2448.
    • (1997) J Chem Phys , vol.106 , Issue.6 , pp. 2436-2448
    • Matsen, M.W.1    Bates, F.S.2
  • 33
    • 33748532773 scopus 로고    scopus 로고
    • The packing of soft materials: Molecular asymmetry, geometric frustration and optimal lattices in block copolymer melts
    • Grason GM (2006) The packing of soft materials: Molecular asymmetry, geometric frustration and optimal lattices in block copolymer melts. Phys Rep 433(1):1-64.
    • (2006) Phys Rep , vol.433 , Issue.1 , pp. 1-64
    • Grason, G.M.1
  • 34
    • 0035950787 scopus 로고    scopus 로고
    • Maximizing entropy by minimizing area: Towards a new principle of self-organization
    • Ziherl P, Kamien RD (2001) Maximizing entropy by minimizing area: Towards a new principle of self-organization. J Phys Chem B 105(42):10147-10158.
    • (2001) J Phys Chem B , vol.105 , Issue.42 , pp. 10147-10158
    • Ziherl, P.1    Kamien, R.D.2
  • 35
    • 0019918768 scopus 로고
    • Microdomain structure and the interface in block copolymers
    • ed Goodman I (Applied Science, New York)
    • Helfand E, Wasserman ZR (1982) Microdomain structure and the interface in block copolymers. Developments in Block Copolymers - 1, ed Goodman I (Applied Science, New York), pp 99-125.
    • (1982) Developments in Block Copolymers - 1 , pp. 99-125
    • Helfand, E.1    Wasserman, Z.R.2
  • 36
    • 15244339882 scopus 로고    scopus 로고
    • Nature of disordered micelles in sphere-forming block copolymer melts
    • Wang J, Wang Z-G, Yang Y (2005) Nature of disordered micelles in sphere-forming block copolymer melts. Macromolecules 38(5):1979-1988.
    • (2005) Macromolecules , vol.38 , Issue.5 , pp. 1979-1988
    • Wang, J.1    Wang, Z.-G.2    Yang, Y.3
  • 38
    • 84864335359 scopus 로고    scopus 로고
    • Predictive self-assembly of polyhedra into complex structures
    • Damasceno PF, Engel M, Glotzer SC (2012) Predictive self-assembly of polyhedra into complex structures. Science 337(6093):453-457.
    • (2012) Science , vol.337 , Issue.6093 , pp. 453-457
    • Damasceno, P.F.1    Engel, M.2    Glotzer, S.C.3
  • 39
    • 84893959210 scopus 로고    scopus 로고
    • Mosaic two-lengthscale quasicrystals
    • Dotera T, Oshiro T, Ziherl P (2014) Mosaic two-lengthscale quasicrystals. Nature 506(7487):208-211.
    • (2014) Nature , vol.506 , Issue.7487 , pp. 208-211
    • Dotera, T.1    Oshiro, T.2    Ziherl, P.3
  • 40
    • 70350077689 scopus 로고    scopus 로고
    • Quasicrystalline order in self-assembled binary nanoparticle superlattices
    • Talapin DV, et al. (2009) Quasicrystalline order in self-assembled binary nanoparticle superlattices. Nature 461(7266):964-967.
    • (2009) Nature , vol.461 , Issue.7266 , pp. 964-967
    • Talapin, D.V.1
  • 41
    • 38949119344 scopus 로고    scopus 로고
    • Diffusionless crystal growth from glass has precursor in equilibrium liquid
    • Sun Y, Xi H, Ediger MD, Yu L (2008) Diffusionless crystal growth from glass has precursor in equilibrium liquid. J Phys Chem B 112(3):661-664.
    • (2008) J Phys Chem B , vol.112 , Issue.3 , pp. 661-664
    • Sun, Y.1    Xi, H.2    Ediger, M.D.3    Yu, L.4
  • 42
    • 43949132112 scopus 로고    scopus 로고
    • Crystallization near glass transition: Transition from diffusion-controlled to diffusionless crystal growth studied with seven polymorphs
    • Sun Y, Xi H, Chen S, Ediger MD, Yu L (2008) Crystallization near glass transition: Transition from diffusion-controlled to diffusionless crystal growth studied with seven polymorphs. J Phys Chem B 112(18):5594-5601.
    • (2008) J Phys Chem B , vol.112 , Issue.18 , pp. 5594-5601
    • Sun, Y.1    Xi, H.2    Chen, S.3    Ediger, M.D.4    Yu, L.5
  • 43
    • 61349093569 scopus 로고    scopus 로고
    • Icosahedral order, frustration, and the glass transition: Evidence from time-dependent nucleation and supercooled liquid structure studies
    • Shen YT, Kim TH, Gangopadhyay AK, Kelton KF (2009) Icosahedral order, frustration, and the glass transition: Evidence from time-dependent nucleation and supercooled liquid structure studies. Phys Rev Lett 102(5):057801.
    • (2009) Phys Rev Lett , vol.102 , Issue.5 , pp. 057801
    • Shen, Y.T.1    Kim, T.H.2    Gangopadhyay, A.K.3    Kelton, K.F.4
  • 44
    • 79951880764 scopus 로고    scopus 로고
    • Tuning the structure of nonequilibrium soft materials by varying the thermodynamic driving force for crystal ordering
    • Tegze G, Gránásy L, Tóth GI, Douglas JF, Pusztai T (2011) Tuning the structure of nonequilibrium soft materials by varying the thermodynamic driving force for crystal ordering. Soft Matter 7(5):1789-1799.
    • (2011) Soft Matter , vol.7 , Issue.5 , pp. 1789-1799
    • Tegze, G.1    Gránásy, L.2    Tóth, G.I.3    Douglas, J.F.4    Pusztai, T.5
  • 45
    • 84864148605 scopus 로고    scopus 로고
    • Roles of icosahedral and crystal-like order in the hard spheres glass transition
    • Leocmach M, Tanaka H (2012) Roles of icosahedral and crystal-like order in the hard spheres glass transition. Nat Commun 3:974.
    • (2012) Nat Commun , vol.3 , pp. 974
    • Leocmach, M.1    Tanaka, H.2
  • 48
    • 4244052698 scopus 로고
    • Crystal structure from one-electron theory
    • Skriver HL (1985) Crystal structure from one-electron theory. Phys Rev B 31(4):1909-1923.
    • (1985) Phys Rev B , vol.31 , Issue.4 , pp. 1909-1923
    • Skriver, H.L.1
  • 51
    • 0001230838 scopus 로고
    • Should all crystals be bcc? Landau theory of solidification and crystal nucleation
    • Alexander S, McTague J (1978) Should all crystals be bcc? Landau theory of solidification and crystal nucleation. Phys Rev Lett 41(10):702-705.
    • (1978) Phys Rev Lett , vol.41 , Issue.10 , pp. 702-705
    • Alexander, S.1    McTague, J.2
  • 52
    • 36149023042 scopus 로고
    • Crystal structure variations in alpha uranium at low temperatures
    • Barrett CS, Mueller MH, Hitterman RL (1963) Crystal structure variations in alpha uranium at low temperatures. Phys Rev 129(2):625-629.
    • (1963) Phys Rev , vol.129 , Issue.2 , pp. 625-629
    • Barrett, C.S.1    Mueller, M.H.2    Hitterman, R.L.3
  • 53
    • 80053124583 scopus 로고    scopus 로고
    • Understanding the complex phase diagram of uranium: The role of electron-phonon coupling
    • Raymond S, et al. (2011) Understanding the complex phase diagram of uranium: The role of electron-phonon coupling. Phys Rev Lett 107(13):136401.
    • (2011) Phys Rev Lett , vol.107 , Issue.13 , pp. 136401
    • Raymond, S.1
  • 55
    • 77949686255 scopus 로고    scopus 로고
    • Double-diamond NaAl via pressure: Understanding structure through Jones zone activation
    • Feng J, Hoffmann R, Ashcroft NW (2010) Double-diamond NaAl via pressure: Understanding structure through Jones zone activation. J Chem Phys 132(11):114106.
    • (2010) J Chem Phys , vol.132 , Issue.11 , pp. 114106
    • Feng, J.1    Hoffmann, R.2    Ashcroft, N.W.3
  • 56
    • 2542558831 scopus 로고    scopus 로고
    • Brillouin zone concept and crystal structures of sp metals under high pressure
    • Degtyareva VF (2003) Brillouin zone concept and crystal structures of sp metals under high pressure. High Press Res 23(3):253.
    • (2003) High Press Res , vol.23 , Issue.3 , pp. 253
    • Degtyareva, V.F.1
  • 57
    • 84881388337 scopus 로고    scopus 로고
    • Pseudo-fivefold diffraction symmetries in tetrahedral packing
    • Lee S, et al. (2013) Pseudo-fivefold diffraction symmetries in tetrahedral packing. Chemistry 19(31):10244-10270.
    • (2013) Chemistry , vol.19 , Issue.31 , pp. 10244-10270
    • Lee, S.1
  • 58
    • 49049085274 scopus 로고    scopus 로고
    • Electronic structures and stability mechanism of quasicrystals
    • eds Ishii Y, Fujiwara T (Elsevier, Oxford)
    • Ishii Y, Fujiwara T (2008) Electronic structures and stability mechanism of quasicrystals. Handbook Metal Physics, eds Ishii Y, Fujiwara T (Elsevier, Oxford), pp 171-208.
    • (2008) Handbook Metal Physics , pp. 171-208
    • Ishii, Y.1    Fujiwara, T.2
  • 59
    • 84860173893 scopus 로고    scopus 로고
    • Multiblock polymers: Panacea or Pandora's box?
    • Bates FS, et al. (2012) Multiblock polymers: Panacea or Pandora's box? Science 336(6080):434-440.
    • (2012) Science , vol.336 , Issue.6080 , pp. 434-440
    • Bates, F.S.1
  • 60
    • 23944513534 scopus 로고    scopus 로고
    • Experimental measurement of the photonic properties of icosahedral quasicrystals
    • Man W, Megens M, Steinhardt PJ, Chaikin PM (2005) Experimental measurement of the photonic properties of icosahedral quasicrystals. Nature 436(7053):993-996.
    • (2005) Nature , vol.436 , Issue.7053 , pp. 993-996
    • Man, W.1    Megens, M.2    Steinhardt, P.J.3    Chaikin, P.M.4


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