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Elastic properties of crystalline and liquid gallium at high pressures

  • Order, Disorder, and Phase Transition in Condensed Systems
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Abstract

The elastic properties of gallium, such as the bulk modulus B, the shear modulus G, and the Poisson’s ratio σ, are investigated and the relative change in the volume is determined in the stability regions of the Ga I, Ga II, and liquid phases at pressures of up to 1.7 GPa. The observed lines of the Ga I-Ga II phase transition and the melting curves of the Ga I and Ga II phases are in good agreement with the known phase diagram of gallium; in this case, the coordinates of the Ga I-Ga II-melt triple point are determined to be 1.24 ± 0.40 GPa and 277 ± 2 K. It is shown that the Ga I-Ga II phase transition is accompanied by a considerable decrease in the moduli B (by 30%) and G (by 55%) and an increase in the density by 5.7%. The Poisson’s ratio exhibits a jump from typically covalent values of approximately 0.22–0.25 to values of approximately 0.32–0.33, which are characteristic of metals. The observed behavior of the elastic characteristics is described in the framework of the model of the phase transition from a “quasi-molecular” (partially covalent) metal state to a “normal” metal state. An increase in the Poisson’s ratio in the Ga I phase from 0.22 to 0.25 with an increase in the pressure can be interpreted as a decrease in the degree of covalence, i.e., the degree of spatial anisotropy of the electron density along the bonds, whereas the large value of the pressure derivative of the bulk modulus (equal to approximately 8) observed up to the transition to the Ga II phase or the melt is associated not only with the quasicovalent nature of the Ga I phase but also with the structural features. In view of the presence of seven neighbors for each gallium atom in the Ga I phase, the gallium lattice can be treated as a structure intermediate between typical open-packed and close-packed structures. Premelting effects, such as a flattening of the isothermal dependence of the shear modulus G(p) with increasing pressure and an increase in the slope of the isobaric dependences G(T) with increasing temperature, are revealed in the vicinity of the melting curve. The bulk modulus of liquid gallium near the melting curve proves to be rather close to the corresponding values for the normal metal Ga II.

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Authors and Affiliations

  1. Institute for High-Pressure Physics, Russian Academy of Sciences, Troitsk, Moscow oblast, 142190, Russia

    A. G. Lyapin, E. L. Gromnitskaya, O. F. Yagafarov, O. V. Stal’gorova & V. V. Brazhkin

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  1. A. G. Lyapin
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  2. E. L. Gromnitskaya
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  3. O. F. Yagafarov
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  4. O. V. Stal’gorova
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  5. V. V. Brazhkin
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Correspondence to O. F. Yagafarov.

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Original Russian Text © A.G. Lyapin, E.L. Gromnitskaya, O.F. Yagafarov, O.V. Stal’gorova, V.V. Brazhkin, 2008, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2008, Vol. 134, No. 5, pp. 956–967.

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Lyapin, A.G., Gromnitskaya, E.L., Yagafarov, O.F. et al. Elastic properties of crystalline and liquid gallium at high pressures. J. Exp. Theor. Phys. 107, 818–827 (2008). https://doi.org/10.1134/S1063776108110125

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