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Thermal composition fluctuations near the isotropic Lifshitz critical point in a ternary mixture of a homopolymer blend and diblock copolymer

机译:均聚物共混物和二嵌段共聚物三元混合物中各向同性Lifshitz临界点附近的热组成波动

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摘要

We have studied thermal composition fluctuations of a ternary symmetric homopolymer/diblock copolymer system of PEE/PDMS/PEE-PDMS [PEE and PDMS being poly(ethyl ethylene) and poly(dimethyl siloxane), respectively] in its disordered state with small angle neutron scattering for concentration Phi of diblocks up to 15%. The phase diagram shows three characteristic regimes; (1) below the Lifshitz concentration Phi(LL)congruent to 9%; (2) in the very near vicinity of the Lifshitz concentration; and (3) above Phi(LL). In the regime (1) of low diblock content the maximum neutron intensity is obtained at Q = 0 and phase separation into macroscopic large domains is observed at low temperatures. With increasing diblock content the thermal fluctuations indicate a crossover from 3d-Ising to isotropic Lifshitz critical behavior with critical exponents of the susceptibility gamma = (1.62 +/- 0.01) and correlation length nu = (0.99 +/- 0.04) appreciably larger than in the 3d-Ising case. In the structure factor this crossover is accompanied by a strong reduction of the Q(2) term leading to the dominance of the Q(4) term; the restoring force of the thermal fluctuations is strongly reduced as the Q(2) term is proportional to the surface energy. Near the Lifshitz critical temperature a further crossover was observed leading to the appreciably larger critical exponents gamma = (2.44 +/- 0.08) and nu = (1.22 +/- 0.08) and a stabilization of the disordered regime visible through a decrease of the phase boundary by nearly 10 K. This crossover is interpreted by the formation of fluctuation induced inhomogeneous diblock distribution at the interface of the thermal fluctuations. (2) In the intermediate regime between 9% and 12% diblock content the Lifshitz line was crossed twice upon increasing the temperature from low to high temperatures; at low and high temperatures the structure factor S(Q) shows diblock character (maximum of S(Q) at Q not equal 0) while at intermediate temperature blendlike character (maximum of S(Q) at Q = 0). At low temperatures a transition to a bicontinuous microemulsion phase is proposed. (3) At diblock content of 15% a weak order-disorder transition was observed. The data in the Lifshitz critical range and larger than the Lifshitz line could be interpreted by a recently developed theory of Kielhorn and Muthukumar who considered the effect of thermal fluctuations in ternary homopolymer/diblock copolymer samples and from which the Flory-Huggins parameter could be evaluated. (C) 2000 American Institute of Physics. [S0021-9606(00)50512-1].
机译:我们研究了具有小角度中子的PEE / PDMS / PEE-PDMS [PEE和PDMS分别为聚(乙烯)和聚(二甲基硅氧烷)]的三元对称均聚物/二嵌段共聚物体系的热组成波动。二嵌段的浓度Phi的散射高达15%。相图显示了三个特征状态。 (1)低于Lifshitz浓度的Phi(LL)等于9%; (2)在Lifshitz集中区附近; (3)在Phi(LL)以上。在低二嵌段含量的方案(1)中,在Q = 0时获得最大中子强度,并且在低温下观察到相分离成宏观大区域。随着二嵌段含量的增加,热涨落表明从3d-Ising到各向同性的Lifshitz临界行为的过渡,其敏感指数γ=(1.62 +/- 0.01),相关长度nu =(0.99 +/- 0.04)明显大于3D-Ising情况。在结构因素上,这种交叉伴随着Q(2)项的强烈减少,从而导致Q(4)项占优势。由于Q(2)项与表面能成比例,因此热波动的恢复力会大大降低。在Lifshitz临界温度附近,观察到进一步的交叉,从而导致临界指数gamma =(2.44 +/- 0.08)和nu =(1.22 +/- 0.08)明显更大,并且通过减少相可以看到无序状态的稳定边界被近10 K限制。这种交叉可以通过在热涨落的界面处形成涨落引起的不均匀二嵌段分布来解释。 (2)在二嵌段含量为9%至12%的中间方案中,随着温度从低温升高到高温,Lifshitz谱线被交叉了两次;在低温和高温下,结构因子S(Q)表现出二嵌段特性(在Q下S(Q)的最大值不等于0),而在中间温度下表现出混合样特性(在Q = 0时S(Q)的最大值)。在低温下,建议过渡到双连续微乳液相。 (3)在15%的二嵌段含量下,观察到弱的有序-无序转变。 Lifshitz临界范围内的数据和大于Lifshitz线的数据可以通过Kielhorn和Muthukumar的最新理论来解释,他们考虑了三元均聚物/二嵌段共聚物样品中热涨落的影响,并可以由此评估Flory-Huggins参数。 (C)2000美国物理研究所。 [S0021-9606(00)50512-1]。

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