Analysis of the IR-Raman modes and the heat capacity near the alpha-Inc-beta transitions in quartz
Yükleniyor...
Dosyalar
Tarih
2021
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
TAYLOR & FRANCIS LTD
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This study gives our analysis for the temperature dependence of the infrared frequency and the integrated intensity of the 695 cm(-1) mode near the alpha-beta transition at 847.5 K and the temperature dependence of the Raman scattering cross section of the 355 cm(-1) mode near the beta-INC (incommensurate) transition which occurs within a small temperature (similar to 1.3 K) interval in relation to the order parameter in quartz. Both analyses are performed according to a power-law formula for the order parameter Q with the critical index beta using the experimental data from the literature. We also analyze the temperature dependence of the heat capacity C p according to the renormalization-group expression including first-order corrections to scaling term close to the alpha-INC-beta transitions in quartz by using the literature data. From our analyses, values of the critical exponent beta for the frequency and the integrated intensity of the 695 cm(-1) infrared mode and for the Raman scattering cross section of the 355 cm(-1) mode as a measure of the order parameter, are extracted. From the analysis of C p , the values of the critical exponent alpha are also extracted. Additionally, by means of scaling relations the critical exponent gamma of the isothermal compressibility kappa T and the renormalized components ( beta R , alpha R and gamma R ) are predicted for the alpha-INC-beta transitions in quartz. Our analyses given here indicate that weakly first-order transition occurs from the alpha phase to the incommensurate (INC) phase, which changes to the nearly second-order transition to the beta phase with increasing temperature in quartz, as also observed experimentally.
Açıklama
Anahtar Kelimeler
IR-Raman Modes, Order Parameter, Heat Capacity C-p, Alpha-INC-Beta Transitions Quartz, Displacive Phase-Transition, Incommensurate Phase
Kaynak
Ferroelectrics
WoS Q Değeri
Q4
Scopus Q Değeri
Q4
Cilt
577
Sayı
1
Künye
Yurtseven, H. A. S. A. N., Günay, E. M. R. E., Karacali, H., & Ateş, S. (2021). Analysis of the IR-Raman Modes and the Heat Capacity Near the α-Inc-β Transitions in Quartz. Ferroelectrics, 577(1), 125-142.
