Isofrequency Temperature Anomalies of Raman Scattering Intensity in Quartz Crystals


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Isothermal dependences of Raman scattering intensity i (ω′; T = const) on frequency Ω = ω0ω′ and isofrequency temperature dependences of i (Ω = ω0ω′ = const; T) in quartz crystals in a wide temperature range, including the α−β phase transition point (ω0 and ω′ are the excitation and Raman frequencies, respectively) have been compared. The isofrequency temperature dependences exhibit an intensity peak (near the phase-transition point), whose spectral position and magnitude depend on the fixed frequency Ω = ω0ω′. A theory of these dependences is developed for the crystals undergoing structural phase transitions. The theory predicts a soft-mode effect in the form of Raman opalescence: an anomalous increase in the spectral intensity of the isofrequency maximum i0 (Ω, T) with a decrease in frequency Ω near the phase-transition temperature (TTc). Agreement is established between the experimentally observed spectral intensity anomalies and the developed theory of isofrequency temperature dependences and processes of interaction of the fundamental soft mode with a low-frequency high-Q oscillator.

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V. Gorelik

Lebedev Physical Institute; Bauman Moscow State Technical University

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Email: gorelik@sci.lebedev.ru
俄罗斯联邦, Leninskiy pr. 53, Moscow, 119991; ul. 2-ya Baumanskaya 5/1, Moscow, 105005

A. Pyatyshev

JSC “RPC “Istok” named after Shokin”

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Email: jb_valensia@mail.ru
俄罗斯联邦, Vokzalnaya ul. 2A, Fryazino, Moscow oblast, 141190

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