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Volumn 30, Issue 10, 1997, Pages 3097-3103

Equilibrium orientation of confined diblock copolymer films

Author keywords

[No Author keywords available]

Indexed keywords

FILMS; INTERFACES (MATERIALS); KINETIC THEORY; MATHEMATICAL MODELS; MONOMERS; MORPHOLOGY; PHASE TRANSITIONS; THERMODYNAMIC PROPERTIES;

EID: 0031143216     PISSN: 00249297     EISSN: None     Source Type: Journal    
DOI: 10.1021/ma9617173     Document Type: Article
Times cited : (173)

References (40)
  • 5
    • 0000726539 scopus 로고
    • de Gennes, P.-G. J. Phys. (Paris) 1976, 37, 1443. de Geenes, P.-G. Macromolecules 1980, 13, 1069.
    • (1976) J. Phys. (Paris) , vol.37 , pp. 1443
    • De Gennes, P.-G.1
  • 6
    • 0343510028 scopus 로고
    • de Gennes, P.-G. J. Phys. (Paris) 1976, 37, 1443. de Geenes, P.-G. Macromolecules 1980, 13, 1069.
    • (1980) Macromolecules , vol.13 , pp. 1069
    • De Geenes, P.-G.1
  • 11
    • 0029790896 scopus 로고    scopus 로고
    • Morkved, T. L.; et al. Science 1996, 273, 931.
    • (1996) Science , vol.273 , pp. 931
    • Morkved, T.L.1
  • 13
  • 14
    • 0027646727 scopus 로고
    • Huang, K.; Balazs, A. C. Phys. Rev. Lett. 1991, 66, 620. Huang, K.; Balazs, A. C. Macromolecules 1993, 26, 4736.
    • (1993) Macromolecules , vol.26 , pp. 4736
    • Huang, K.1    Balazs, A.C.2
  • 29
    • 85033180409 scopus 로고    scopus 로고
    • note
    • To induce the parallel morphology to appear, we force the self-consistent potential U to be translationally invariant in the x-direction. Then, the converged solution also displays this invariance, so there is a composition modulation only in the z-direction.
  • 30
    • 85033172016 scopus 로고    scopus 로고
    • note
    • To determine the properties of the bulk lamellar phase, we replace the confining substrates with periodic boundaries and apply eq 2. The free energy given in eq 2 takes a uniformly mixed state as its zero.
  • 31
    • 85033160349 scopus 로고    scopus 로고
    • note
    • To induce the perpendicualar morphology of the lamellae, we implement periodic boundary conditions in both the x- and z-directions and choose the self-consistent potential to be invariant in the z-direction. Once we have a converged solution in these circumstances, we relax the constraint on U, thus allowing variations in the z-direction. Also, we impose hard wall boundary conditions at z = 0 and z = L + 1. We then recalculate the self-consistent potential, U, thus arriving at a state in which the lamellae are perpendicular to the substrates.
  • 32
    • 85033168468 scopus 로고    scopus 로고
    • note
    • With χ = 0, and with hard wall conditions in the z-direction, the free energy given by eq 2 is calculated. The appropriate reference state in this case is not the lamellar microphase but rather an ideal melt of homopolymers. Then, γ = F/L is calculated.
  • 35
    • 85033170270 scopus 로고    scopus 로고
    • note
    • The stabilization of the perpendicular orientation is explained here by the orientation of rigid statistical segments in the vicinity of a hard wall. Interestingly, when the chains are completely flexible, as in the calculation of ref 25, the perpendicular orientation is still stabilized. The AB interfacial tension is lowered near the contact line with a neutral substrate by a factor of order unity. The effect contributes to Δ with the same power in N as the nematic stabilization discussed here.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.