Rotational invariants of network former and modifier cations in silicate glasses

Scott, Dan; Mountjoy, Gavin

doi:10.1016/j.jnoncrysol.2014.02.022

Cited by 2 publications

(1 citation statement)

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“…We calculate the parameters up to l = 10. Spherical harmonics expansion is applicable to measure the symmetry of noncrystallographic clusters (e.g., in the models of glasses and intermetallic compounds [55][56][57][58]) and estimate the lateral ordering of the micelles surface [59][60][61].…”

Section: Resultsmentioning

confidence: 99%

Unusual Structures of Interpolyelectrolyte Complexes: Vesicles and Perforated Vesicles

2020

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By means of computer simulation and analytical theory, we first demonstrated that the interpolyelectrolyte complexes in dilute solution can spontaneously form hollow spherical particles with thin continuous shells (vesicles) or with porous shells (perforated vesicles) if the polyions forming the complex differ in their affinity for the solvent. The solvent was considered good for the nonionic groups of one macroion and its quality was varied for the nonionic groups of the other macroion. It was found that if the electrostatic interactions are weak compared to the attraction induced by the hydrophobicity of the monomer units, the complex in poor solvent tends to form “dense core–loose shell” structures of different shapes. The strong electrostatic interactions favor the formation of the layered, the hollow, and the filled structured morphologies with the strongly segregated macroions. Vesicles with perforated walls were distinguished as the intermediate between the vesicular and the structured solid morphologies. The order parameter based on the spherical harmonics expansion was introduced to calculate the pore distribution in the perforated vesicles depending on the solvent quality. The conditions of the core–shell and hollow vesicular-like morphologies formation were determined theoretically via the calculations of their free energy. The results of the simulation and theoretical approaches are in good agreement.

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