Anisotropy of lamellar block copolymer grains

被引:24
作者
Balsara, NP [1 ]
Marques, CM
Garetz, BA
Newstein, MC
Gido, SP
机构
[1] Univ Calif Berkeley, Lawrence Berkeley Natl Lab, Dept Chem Engn, Berkeley, CA 94720 USA
[2] Univ Calif Berkeley, Lawrence Berkeley Natl Lab, Div Sci Mat, Berkeley, CA 94720 USA
[3] Inst Phys, F-67084 Strasbourg, France
[4] Polytech Univ, Dept Chem & Chem Engn, Brooklyn, NY 11201 USA
[5] Polytech Univ, Dept Elect Engn, Brooklyn, NY 11201 USA
[6] Univ Massachusetts, Dept Polymer Sci & Engn, Amherst, MA 01003 USA
来源
PHYSICAL REVIEW E | 2002年 / 66卷 / 05期
关键词
D O I
10.1103/PhysRevE.66.052802
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
The Wulff construction and the theory of Milner and Morse [Phys. Rev. E 54, 3793 (1996)] were used to calculate the shape of grains formed when a lamellar block copolymer phase is formed by a shallow quench into the ordered state. The calculations show that the grains are ellipsoids of revolution, with an aspect ratio rho=2.37. This value is in reasonable agreement with results of transmission electron microscopy and depolarized light scattering experiments, which indicate that the average value of rho of grains formed during the early stages of the disorder-to-order transition is about 2.0.
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页数:4
相关论文
共 21 条
  • [1] Evolution of microstructure in the liquid and crystal directions in a quenched block copolymer melt
    Balsara, NP
    Garetz, BA
    Newstein, MC
    Bauer, BJ
    Prosa, TJ
    [J]. MACROMOLECULES, 1998, 31 (22) : 7668 - 7675
  • [2] Identification of the molecular parameters that govern ordering kinetics in a block copolymer melt
    Balsara, NP
    Garetz, BA
    Chang, MY
    Dal, HJ
    Newstein, MC
    [J]. MACROMOLECULES, 1998, 31 (16) : 5309 - 5315
  • [3] Brazovskii S. A., 1975, SOV PHYS JETP, V41, DOI DOI 10.1142/9789814317344_0016
  • [4] FREE ENERGY OF A NONUNIFORM SYSTEM .1. INTERFACIAL FREE ENERGY
    CAHN, JW
    HILLIARD, JE
    [J]. JOURNAL OF CHEMICAL PHYSICS, 1958, 28 (02) : 258 - 267
  • [5] Chaikin P.M., 2007, PRINCIPLES CONDENSED
  • [6] Analysis of grain structure in partially ordered block copolymers by depolarized light scattering and transmission electron microscopy
    Chang, MY
    Abuzaina, FM
    Kim, WG
    Gupton, JP
    Garetz, BA
    Newstein, MC
    Balsara, NP
    Yang, L
    Gido, SP
    Cohen, RE
    Boontongkong, Y
    Bellare, A
    [J]. MACROMOLECULES, 2002, 35 (11) : 4437 - 4447
  • [7] Grain growth and defect annihilation in block copolymers
    Dai, HJ
    Balsara, NP
    Garetz, BA
    Newstein, MC
    [J]. PHYSICAL REVIEW LETTERS, 1996, 77 (17) : 3677 - 3680
  • [8] DEGENNES PG, 1993, PHYSICS LIQUID CRYST
  • [9] FLUCTUATION EFFECTS IN THE THEORY OF MICROPHASE SEPARATION IN BLOCK COPOLYMERS
    FREDRICKSON, GH
    HELFAND, E
    [J]. JOURNAL OF CHEMICAL PHYSICS, 1987, 87 (01) : 697 - 705
  • [10] HADJUK DA, 1998, J CHEM PHYS, V108, P326