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Pivotal influence of ligand field stabilization energy on the extraction order of divalent metal ions by acidic extractants.

React Chem Eng
Raiguel S, Binnemans K.
europepmc   +1 more source

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Displacive phase-field crystal model

Physical Review Materials, 2020
A phase-field crystal model that spontaneously undergoes displacive phase transitions is introduced by explicitly studying a two-component two-dimensional square crystal reminiscent of a perovskite. When the intercomponent free energy is a simple polynomial, the crystal undergoes displacive transitions in the $\ensuremath{\langle}10\ensuremath{\rangle}$
Eli Alster, Peter Voorhees, K R Elder
exaly   +2 more sources

Phase-field-crystal simulation of nonequilibrium crystal growth

Physical Review E, 2014
By using the phase field crystal model, we simulate the morphological transition of the crystal growth of equilibrium crystal shape, dendrite, and spherical crystal shape. The relationship among growth morphology, velocity, and density distribution is investigated.
Sai, Tang, Yan-Mei, Yu, Jincheng, Wang, Junjie, Li, Zhijun, Wang, Yaolin, Guo, Yaohe, Zhou   +6 more
openaire   +2 more sources

Reductive renormalization of the phase-field crystal equation

Physical Review E, 2012
It has been known for some time that singular perturbation and reductive perturbation can be unified from the renormalization-group theoretical point of view: Reductive extraction of space-time global behavior is the essence of singular perturbation methods.
Y, Oono, Y, Shiwa
openaire   +2 more sources

Phase-field crystal for an antiferromagnet with elastic interactions

Physical Review E, 2019
We introduce a model which contains the essential elements to formulate and study antiferromagnetism, using the phase-field crystal framework. We focus on the question of how magneto-elastic coupling could lift the frustration in the two-dimensional hexagonal antiferromagnetic phase.
Niloufar Faghihi, Simiso Mkhonta, Ken Elder, Martin Grant   +3 more
openaire   +2 more sources