2016
DOI: 10.1002/jrs.5009
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How the vibrational frequency varies with temperature

Abstract: A renormalization of mode wavenumber with temperature in inorganic (silicon, diamond) and molecular crystals (α‐S8) is considered. The conventional theory of wavenumber varying is based on phonon decay into other phonons. A new approach based on the process of phonon excitation and analytical expression for ω(T) function is proposed. A numerical quantity of anharmonic contributions from vibration of chemical bonds of different types is discussed. It is shown that anharmonicity of hydrogen bonds is essentially … Show more

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Cited by 29 publications
(29 citation statements)
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“…As shown in figure 2(b), line positions versus temperature for ND-N, ND-Ge and ND-Si are very close, and decreases as the temperature increases corresponding to the standard thermal behavior of phonon mode. This variation is in accordance with several results reported in the literature [47][48][49][50][51].…”
Section: First-order Raman Line Of Diamondssupporting
confidence: 93%
“…As shown in figure 2(b), line positions versus temperature for ND-N, ND-Ge and ND-Si are very close, and decreases as the temperature increases corresponding to the standard thermal behavior of phonon mode. This variation is in accordance with several results reported in the literature [47][48][49][50][51].…”
Section: First-order Raman Line Of Diamondssupporting
confidence: 93%
“…It can be seen that the spectral positions of the Raman line are very close for these two diamonds, and that they follow the same temperature dependence. The model description of the Raman line shift with temperature, being still a matter of research [24,25], lies beyond the scope of the present work and is not addressed here. The Lorentzian line width of the diamonds with and without nitrogen is different, but the difference is temperature independent.…”
Section: Resultsmentioning
confidence: 99%
“…In addition, α a and α c are the linear coefficients of thermal expansion corresponding to the a and c axes with α a = 11.0 × 10 −6 K −1 and α c = 4.1 × 10 −6 K −1 , [11] and there reported the similar trend in thermal expansion behavior for delafossite compound. [31] The third term Δω 2 (T) and the linewidth-dependent temperature can be written as [11,38]…”
Section: Resultsmentioning
confidence: 99%