ANOMALOUS HEAT CAPACITY IN SiO2-BASED MULTICOMPONENT GLASS-LIKE SYSTEMS AT LOW TEMPERATURES
N.N. Aliyev
   download pdf   

ABSTRACT

The anomaly has been observed in the course of temperature dependence C(T)/ T3 within T 5÷30 K in glass-like and crystal SiO2 and SiO2- based glass-like systems given in Table 1. It is established that maximum of C(T)/T3 function of glass-like and crystal SiO2 is arranged at T10 K and 9 K, respectively. For the rest of systems, the maximum positions at temperature dependence C (T)/T3 changes due to concentration and chemical composition of the second component in given systems. In these systems the anomaly of heat capacity dependence C(T)/ T3 occurs within T 5÷30 K regardless of glass-like material composition and is related to the existence of quasi-local vibrations.

Keywords: heat capacity, anomaly, Debye theory, quasi-local vibrations.
DOI:10.70784/azip.1.2026123

Received: 16.01.2026
Internet publishing: 17.02.2026    AJP Fizika E 2026 1 en p.23-26

AUTHORS & AFFILIATIONS

Azerbaijan Medical University AZ 1007, Bakikhanov Str. 23. Baku, Azerbaijan
E-mail: nusreddin.aliyev@mail.ru

 [1]   Amorphous solids low-temperature properties, Ed. W.A. Phillips, N.Y., (1981), 180
[2]   R.O. Pehl, G.L. Salinger. The anomalous thermal properties of glasses at low temperatures, Annuals of the New York Academy of Sciences, 279.The glass transition and the nature glassy state, Part 4 (1976). Crtogemic Anomalies, 150-172.
[3]   N. Bilir, W.A. Phillips. Phonons in SiO2: the low temperature heat capasity of cristobalite, Philosoph. May. J.The aret. Exper.Appl.Phys.,32#1(1975), 113-122
[4]   I.A. Chaban. Microscopic model of low-temperature anomalies in dielectric glass, FTT, 21(1979) pp. 144-1450
[5]   J.C. Philips. T3 specific heat anomaly in network solids, Phys.Rev., 32(1985) 5356-5361
[6]   A.F. Volkov, Y.V. Kozlov, S.P. Lebedev, Ya. Letzhelt, V.N. Sigayev. E.R. Smelyanskaya. Absorption spectra of vitreous silica and SiO2 crystal modifications over the frequency range 30-100 cm-1, Physics and chemistry of glass, 16 (1990) pp. 587-592.
[7]   U. Buchman et.al., Low –frequency modes in vitreous silica, Phys.Rev. B, 34 (1986) 5665-5673.
[8]   Amorphous solids: Low-temperature properties, ED. W.A. Philips, Berlin, (1981) 160
[9]   C.L. Babcock, S.W. Barber. coexisting structures in vitreous silica, Industr., Eng. Chem, 46 № 1(1954)161-166.
[10]  A.P. Cuper. Rhombohedral grid and effects, memory in glass-like В2О3, Physics and chemistry of glass, 2, № 1 ( 1976),pp. 24-28
[11]  M.R. Vukcevich, A3 new interperetation of the anomalous propeties of vitrous silica. J.Non Crystalline solids, 11 № 1 (1972) 25-62
[12]  N.N. Aliyev. Heat capacity and thermodynamic properties of silicon dioxide doped by boron and germanium at low temperatures. Dissertation for the degree of a candidate of phys-math. sciences, Baku, (1983), pp.203
[13]  К.К. Mamedov, A.B. Abdullayev, B.Z. Shalumov, M.I. Mekhtiyev, M. Aldzanov, N.N. Aliyev, D.O. Yumbatov. Heat capacity and thermodynamic properties of SiO2-Al2O3 and SiO2-TiO2 glass-like systems at low temperatures. Physics and chem. of glass, 11 (1985) pp. 536-541
[14]  N.N. Aliyev, G.T. Akhmedli., F.Yu. Aliyev. Heat capacity of sodium and borosilicate glasses at low temperatures. Journal of physical chemistry. 66(1992) pp.417-422
[15]  N.N. Aliyev, B.Z. Shalumov, S.S. Dyakonov, A.B. Abdullayev. Heat capacity of sodium and alumosilicate glasses at low temperatures. Physics and chemistry of glass., 13, 3.(1987) pp. 467-470
[16]  N.N. Aliyev. Heat capacity of glass-like and crystal Si O2-PBO-B2O3-K2O-2 at low temperatures. J.Physics, vol. IV, № 1(1998)
[17]  L.A. Zhukova, B.Z. Shalumov, A.I. Kuznetsov, V.V. Dyakova, E.A. Ryabenko, S.L. Antonova. Investigation of silicon dioxide doped by B2O3 by IR spectroscopy method. Non-organic materials, 14(1978) pp.687-689
[18]  V.M. Kostina, A.A. Zhukova, A.I. Kuznetsov, B.Z. Shalumov, E.A. Ryabenko. IR spectroscopic investigation of synthetic SiO2 doped by GeO2. Non-organic materials., 14(1978) pp. 236-329
[19]  V.V. Gorbachev, V.N. Petryakov and etc. Coordination state of boron sodium in borosilicate glasses by X-ray and Raman spectroscopy data. Physics and chemistry of glass. 11 (1985) pp.410-413
[20]  T.I. Pesina, L.G. Baykova, V.L. Puch, I.I. Novak, M.F. Kiresenko. Shength and structural pecularities of Na2O-Al2O3-SiO2 glass system. Physics and chemistry of glass, 12 (1986)pp. 26-31
[21]  H.K. Sun. J.Amer. Geram.SOC, V.30 № 9 (1947) р. 277