1988
DOI: 10.1038/335201a0
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Crystals from first principles

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Cited by 400 publications
(258 citation statements)
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“…Finding thermodynamically stable structures for solids of given stoichiometry is a notoriously difficult task (13), which remains true even for transitions between ground state structures, as considered in what follows. When chemical intuition (14) fails one possible method to effectively and efficiently sample the configurational space of solid state structures for a given stoichiometry utilizes genetic or evolutionary algorithms.…”
Section: Searching Methodologymentioning
confidence: 99%
“…Finding thermodynamically stable structures for solids of given stoichiometry is a notoriously difficult task (13), which remains true even for transitions between ground state structures, as considered in what follows. When chemical intuition (14) fails one possible method to effectively and efficiently sample the configurational space of solid state structures for a given stoichiometry utilizes genetic or evolutionary algorithms.…”
Section: Searching Methodologymentioning
confidence: 99%
“…Therefore, knowledge not only of average liquid configurations but also of the solid mixture's structure is essential. For phase transitions of mixtures, the problem is hence strongly linked to the challenge of predicting molecular crystals from first principles [12], which has been addressed for co-crystals only recently [7,13] in mapping out entire phase diagrams. For the identification of HTF mixtures with minimal melting points, however, it is sufficient to simply focus on eutectics, rather than having to screen the entire solid-liquid phase diagram.…”
mentioning
confidence: 99%
“…Therefore, knowledge not only of average liquid configurations but also of the solid mixture's structure is essential. For phase transitions of mixtures, the problem is hence strongly linked to the challenge of predicting molecular crystals from first principles [12], which has been addressed for co-crystals only recently [7,13]. Recent efforts to compute solid-liquid phase equilibria of hard sphere mixtures [14], Lennard-Jones mixtures [15], alloys [16], or solid and liquid mixtures of the Rb/Cs fluoride binary [17] in mapping out entire phase diagrams.…”
mentioning
confidence: 99%
“…The limitation to date has largely been computational cost, but this is changing quickly; further investigation of the transition from clusters to bulk-like nanoparticles will undoubtedly shed significant light on fundamental questions, such as how the structures of crystalline solids emerge from the properties of a collection of atoms, which remains only poorly understood [97,98].…”
Section: Extreme and Limiting Casesmentioning
confidence: 99%