Topic
Thermal expansion
About: Thermal expansion is a research topic. Over the lifetime, 21040 publications have been published within this topic receiving 349407 citations. The topic is also known as: heat expansion.
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TL;DR: In this paper, the authors focus on the analysis of temperature dependent lattice geometries, thermal expansion coefficients, elastic constants, and ultimate strength of graphene and graphyne and find that graphene's mechanical properties have strong resistance against temperature increase up to 1000 K.
Abstract: Based on the first principles calculation combined with quasi-harmonic approximation in this work, we focus on the analysis of temperature dependent lattice geometries, thermal expansion coefficients, elastic constants, and ultimate strength of graphene and graphyne. For the linear thermal expansion coefficient, both graphene and graphyne show a negative region in the low temperature regime. This coefficient increases up to be positive at high temperatures. Graphene has superior mechanical properties with Young's modulus E = 350.01 N/m and ultimate tensile strength of 119.2 GPa at room temperature. Based on our analysis, it is found that graphene's mechanical properties have strong resistance against temperature increase up to 1000 K. Graphyne also shows good mechanical properties with Young's modulus E = 250.9 N/m and ultimate tensile strength of 81.2 GPa at room temperature, but graphyne's mechanical properties have a weaker resistance with respect to the increase of temperature than that of graphene.
91 citations
TL;DR: In this article, it was shown that accurate measurements, with and without magnetic fields, made on samples of suitable purity, can give useful information concerning the volume dependence of the interaction energies of various interaction processes in solids.
Abstract: Publisher Summary Thermal expansion is the dimensional change that occurs with change in temperature. It is clearly related to dilatation, which may result from altering other parameters such as pressure, magnetic field, etc., and it reveals something about the dependence on volume of the energies of various interaction processes in solids. Glasses and diamond-structure solids present an interesting problem as they display negative expansion coefficients at moderately low temperatures. At least one of the diamond-structure solids shows a return to positive behavior in the low temperature limit and others seem likely to do the same thing, but whether glasses will also is unknown. Equally uncertain are which vibrational modes in glass are responsible for the negative behavior. Finally, magnetic materials and superconductors present a host of problems but existing data show clearly that accurate measurements, with and without magnetic fields, made on samples of suitable purity, can give useful information concerning the volume dependence of the interaction energies.
91 citations
TL;DR: In this paper, the problem of deducing theoretically the shrinkage of a two-phase composite material in terms of the properties of its components has been considered, and it has been shown that the problem has a wider application and is also identical with the problem for deducing the coefficient of thermal expansion for a similar material.
Abstract: THE problem of deducing theoretically the shrinkage of a two phase composite material in terms of the properties of its components has been considered by Pickett1 and by Hansen and Nielsen2. They were specifically interested in concrete, but the problem has a wider application and is also identical with the problem of deducing the coefficient of thermal expansion for a similar material.
91 citations
TL;DR: In this article, the lattice constant of Bi$_2$Se$_3$ and Sb$_ 2$Te$_ 3$ crystals was determined by X-ray powder diffraction measurement in a wide temperature range.
Abstract: Lattice constant of Bi$_2$Se$_3$ and Sb$_2$Te$_3$ crystals is determined by X-ray powder diffraction measurement in a wide temperature range. Linear thermal expansion coefficients ($\alpha$) of the crystals are extracted, and considerable anisotropy between $\alpha_\parallel$ and $\alpha_\perp$ is observed. The low temperature values of $\alpha$ can be fit well by the Debye model, while an anomalous behavior at above 150 K is evidenced and explained. Gruneisen parameters of the materials are also estimated at room temperature.
91 citations
TL;DR: In this paper, the thermal expansion coefficients (TECs) of chitin crystals in the lateral direction were measured using X-ray diffraction at selected temperatures in the heating process.
Abstract: Measurements of the thermal expansion coefficients (TECs) of chitin crystals in the lateral direction are reported. We investigated highly crystalline a chitin from the Paralithodes tendon and an anhydrous form of β chitin from a Lamellibrachia tube from room temperature to 250 °C, using X-ray diffraction at selected temperatures in the heating process. For a chitin, the TECs of the a and b axes were α a = 6.0 × 10 -5 °C -1 and α b = 5.7 × 10 -5 °C -1 , indicating an isotropic thermal expansion in the lateral direction. However, the anhydrous β chitin exhibited an anisotropic thermal expansion in the lateral direction. The TEC of the a axis was constant at α a = 4.0 x 10 -5 °C -1 , but the TEC of the b axis increased linearly from room temperature to 250 °C, with α b = 3.0-14.6 × 10 -5 °C -1 . These differences in the lateral thermal expansion behaviors of the a chitin and the anhydrous β chitin are due to their different intermolecular hydrogen bonding systems.
91 citations