Abstract—The spectrum is obtained and the time dependences of fractoluminescence signals upon fracture of the surface of quartz are studied. The analysis of the obtained data has shown that at fracture, clusters of four cracks having a size of a few nm appear. Crack formation is associated with the destruction of barriers precluding the motion of dislocations along the sliding planes. The distribution of cracks by sizes (surface areas of crack walls) obeys the Gutenberg–Richter law.
Similar content being viewed by others
REFERENCES
Amitrano, D., Brittle-ductile transition and associated seismicity: Experimental and numerical studies and relationship with the b value, J. Geophys. Res.: Solid Earth, 2003, vol. 108, no. B1, Paper ID 2444. https://doi.org/10.1029/2001JB000680
Betekhtin, V.I. and Kadomtsev, A.G., Evolution of microscopic cracks and pores in solids under loading, Phys. Solid State, 2005, vol. 47, no. 5, pp. 825–831.
Cheremskoi, P.G., Slezov, V.V., and Betekhtin, V.I., Pory v tverdom tele (Pores in a Solid), Moscow: Energoatomizdat, 1990.
Chibisov, A.N. and Chibisova, M.A., Simulation of the atomic and electronic structures of mesoporous SiO2 containing Ti4+ and Zr4+ ions, Tech. Phys., 2011, vol. 56, no. 4, pp. 567–569.
Cottrell, A.H., Theory of Crystal Dislocations, New York: Gordon and Breach, 1964.
El’yashevich, M.A., Atomnaya i molekulyarnaya spektroskopiya (Atomic and Molecular Spectroscopy), 2nd ed., Moscow: Editorial URSS, 2001.
Etchepare, J., Merian, M., and Smetankine, L., Vibrational normal modes of SiO2: α and β quartz, J. Chem. Phys., 1974, vol. 60, pp. 1873–1876.
Gottstein, G., Physical Foundations of Materials Science, Berlin: Springer, 2004.
Götze, J., Application of cathodoluminescence, microscopy and spectroscopy in geosciences, Microsc. Microanal, 2012, vol. 18, no. 6, pp. 1270–1284.
Gutenberg, B. and Richter, C., Seismicity of the Earth and Associated Phenomena, 2nd ed., Princeton: Princeton Univ., 1954.
Kawaguchi, Y., Fractoluminescence spectra of crystalline quartz, Jpn. J. Appl. Phys., 1998, vol. 37, pp. 1892–1896.
Lei, X.-L., Kusunose, K., Rao, M.V.M.S., Nishizawa, O., and Satoh, T., Quasi-static fault growth and cracking in homogenous brittle rock under triaxial compression using acoustic emission monitoring, J. Geophys. Res., 2000, vol. 105, no. B3, pp. 6127–6139.
Lockner, D.A., Byerlee, J.D., Kuksenko, V., Ponomarev, V., and Sidorin, A., Observations of quasi-static fault growth from acoustic emissions, in Fault Mechanics and Transport Properties of Rocks, Evans, B. and Wong, T.F., Eds., London: Academic Press, 1992, pp. 3–31.
Petrov, V.A., Bashkarev, A.Ya., and Vettegren’, V.I., Fizicheskie osnovy prognozirovaniya dolgovechnosti konstruktsionnykh materialov (Physical Basis for Predicting the Durability of Structural Materials), St. Petersburg: Politekhnika, 1993.
Richter, H., Wang, Z.P., and Ley, L., The one phonon Raman spectrum of microcrystalline silicon, Solid State Commun., 1981, vol. 39, no. 5, pp. 625–629.
Scholz, C.H., The Mechanics of Earthquakes and Faulting, 3rd ed., Cambridge: Cambridge Univ., 2019.
Shuldiner, A.V. and Zakrevskii, V.A., On the mechanism of deformation induced destruction of color centers, Radiat. Prot. Dosim., 1996, vol. 65, nos. 1–4, pp. 113–131.
Sobolev, G.A. and Ponomarev, A.V., Fizika zemletryasenii i predvestniki (Physics of Earthquakes and Precursors), Moscow: Nauka, 2003.
Sobolev, G.A., Vettegren, V.I., Kireenkova, S.M., Kulik, V.B., Mamalimov, R.I., Morozov, Yu.A., Smul’skaya, A.I., and Shcherbakov, I.P., Nanokristally v gornykh porodakh (Nanocrystals in Rocks), Moscow: GEOS, 2016.
Stevens Karlceff, M.A. and Phillips, M.R., Cathodoluminescence microcharacterization of the defect structure of quartz, Phys. Rev. B: Condens. Matter, 1995, vol. 52, no. 5, pp. 3122–3133.
Thompson, B.D., Young, R.P., and Lockner, D.A., Fracture in Westerly granite under AE feedback and constant strain rate loading: nucleation, quasi-static propagation, and the transition to unstable fracture propagation, Pure Appl. Geophys., 2006, vol. 163, no. 5, pp. 995–1019.
Turro, N.J., Ramamurthy, V., and Scaiano, J.C., Modern Molecular Photochemistry of Organic Molecules, Sausalito, California: Univ. Sci. Books, 2010.
Vettegren, V.I., Ponomarev A.V., Shcherbakov I.P., and Mamalimov R.I., The influence of the structure of a nanocrystalline solid (sandstone) on the dynamics of microcrack accumulation on friction, Phys. Solid State, 2017a, vol. 59, no. 8, pp. 1580–1583.
Vettegren, V.I., Sobolev, G.A., Ponomarev, A.V., Shcherbakov, I.P., and Mamalimov, R.I., Nanosecond dynamics of destruction of the surface layer of a heterogeneous nanocrystalline solid (sandstone) under the friction, Phys. Solid State, 2017b, vol. 59, no. 5, pp. 955–959.
Vettegren, V.I., Ponomarev, A.V., Arora, K., Raza, H., Mamalimov, R.I., Shcherbakov, I.P., and Fokin, I.V., Nanosecond dynamics of the destruction of heterogeneous natural bodies by friction, Phys. Solid State, 2018, vol. 60, no. 11, pp. 2300–2304.
Vettegren, V.I., Ponomarev, A.V., Mamalimov, R.I., and Shcherbakov, I.P., Formation of microcracks in a heterogeneous solid (sandstone) under the influence of friction, Phys. Solid State, 2019a, vol. 61, no. 7, pp. 1259–1262.
Vettegren, V.I., Ponomarev, A.V., Mamalimov, R.I., Shcherbakov, I.P., Arora, K., Srinagesh, D., and Chadha, R.K., Microcracks in basalt and tonalite at friction, Izv. Phys. Solid Earth, 2019b, vol. 55, no. 6, pp. 879–885.
Vladimirov, V.I., Fizicheskaya priroda razrusheniya metallov (Physics of Fracture in Metals), Moscow: Metallurgiya, 1984.
Wiemer, S. and Wyss, M., Mapping spatial variability of the frequency-magnitude distribution of earthquakes, Adv. Geophys., 2002, vol. 45, pp. 259–302.
Zhurkov, S.N., Kuksenko, V.S., and Petrov, V.A., Physical basis for predicting mechanical failure, Dokl. Akad. Nauk SSSR, 1981, vol. 259, no. 6, pp. 1350–1353.
Funding
The work was carried out in partial fulfillment of the State contract; the experimental part of the study was supported by the Russian Foundation for Basic Research (project no. 20-05-00155a).
Author information
Authors and Affiliations
Corresponding author
Additional information
Tranlslated by M. Nazarenko
Rights and permissions
About this article
Cite this article
Vettegren, V.I., Ponomarev, A.V., Mamalimov, R.I. et al. Nanocracks upon Fracture of Quartz. Izv., Phys. Solid Earth 56, 827–832 (2020). https://doi.org/10.1134/S1069351320060129
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1069351320060129