2021
DOI: 10.1016/j.ssc.2020.114134
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Influence of the inversion factor on Madelung constants in spinel systems

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“…While the solid solution approaches above were developed for inter-metallic solid solutions only, electrostatic methods that generate periodic cells with multiple “ion” sites and evaluate their structural stability or formation energies with the classical point charge model have been developed as well. Recently, the electrostatic approach to solid solutions has been adopted in sampling techniques that find stable site arrangements. For example, Chen and Li developed a high-throughput sampling algorithm using neutral polyhedron units (NPUs) that strategically sum over the valences of cations and surrounding fractional anions, with which they successfully generated 12,870 site arrangements for the spinel type LiMn 2 O 4 , evaluated their Madelung energies E Madelung , and discussed the point charge ordering of Mn 3+ and Mn 4+ ions .…”
Section: Introductionmentioning
confidence: 99%
“…While the solid solution approaches above were developed for inter-metallic solid solutions only, electrostatic methods that generate periodic cells with multiple “ion” sites and evaluate their structural stability or formation energies with the classical point charge model have been developed as well. Recently, the electrostatic approach to solid solutions has been adopted in sampling techniques that find stable site arrangements. For example, Chen and Li developed a high-throughput sampling algorithm using neutral polyhedron units (NPUs) that strategically sum over the valences of cations and surrounding fractional anions, with which they successfully generated 12,870 site arrangements for the spinel type LiMn 2 O 4 , evaluated their Madelung energies E Madelung , and discussed the point charge ordering of Mn 3+ and Mn 4+ ions .…”
Section: Introductionmentioning
confidence: 99%