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by X Hu · 2018 · Cited by 50 — Quantifying the thermal expansion coefficient of 2D materials requires temperature measurements at nanometer scale. Here, we introduce a .... by F Hanke — Armed with the free energy as a function of temperature and volume (read: lattice con- stant), it is of course possible to calculate a lattice .... May 14, 2009 — The volumetric thermal expansion coefficient can be defined for both liquids and ... The change in volume with temperature can be written:. baf94a4655 whalfurn
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Using phonopy results of thermal properties, thermal expansion and heat ... Since the volume v.s. free energy fitting is done at each temperature given in ... The fitting results, volume-temperature relation, and thermal expansion coefficient are .... by JP Attfield · 2018 · Cited by 34 — Negative thermal expansion (NTE) upon heating is an unusual property ... through the linear or volume (bulk) thermal expansion coefficients (TECs), αL ... Low atomic connectivity so that atoms have free space to move into .... estimate thermal expansion coefficient of the nuclear fuel pellet. However ... of the lattice parameter, the Helmholtz free energy, F(V,T), is used at the temperature. ),(. ),(. )( ),( ... the different volumes at constant temperature using Equations 3-5.
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