Experimental and Theoretical Expression for the Molar Electrical Conductivity of Borosilicates

  • Rudol’f L. Myuller


The slight electrolytic dissociation, the comparatively high mobility of the dissociated ions, the unipolar conductivity, and the solid state —all these connect vitreous borosilicates, in an electrochemical context, with ionic crystals. Starting from this point, the author made a comparison between experimental results on the electrical conductivity of glasses and the values calculated from Frenkel’s theoretical formula [1]. It was clearly necessary to have a physical chemical justification for the application of this to amorphous, ionic-covalent glasses, since the formula had been derived for purely ionic crystalline solids. A regular lattice is absent in these glasses and they have, in addition to the conduction cations, immobile negatively ionized and nonionized atoms mutually interconnected by valence bonds in a three-dimensional network structure.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    R. L. Myuller (Müller), Phys. Z. Sowjetunion, 1:407, 1932Google Scholar
  2. 1a.
    Ya. I. Frenkel’, Z. Phys., 55:652 (1926); Ya. I. FrenkeP, A Kinetic Theory of Liquids, Akad. Nauk SSSR, Moscow (1945).CrossRefGoogle Scholar
  3. 2.
    R. L. Myuller, Zh. Fiz. Khim., 6:616 (1935); Izv. Akad. Nauk SSSR, Ser. Fiz., 4:607(1940); • this volume, p. 170; R. L. Myuller (Miller), Acta Physicochim. URSS, 2:115 (1935).Google Scholar
  4. 3.
    •R. L. Myuller, Zh. Tekhn. Fiz., 25:236 (1955), «this volume, p. 15.Google Scholar
  5. 4.
    S. A. Shchukarev and R. L. Myuller, Zh. Fiz. Khim., 1:625 (1930).Google Scholar
  6. 5.
    R. L. Myuller and B. I. Markin, Zh. Fiz. Khim., 5:1272 (1934); R. L. Myuller (Müller) and B. I. Markin, Acta Physiocochim, URSS, 1:160 (1934).Google Scholar
  7. 6.
    B. F. Ormont, Structures of Inorganic Substances, GITTL, Moscow-Leningrad (1950), pp. 178–179.Google Scholar
  8. 7.
    Ya. I. Frenkel’, A Kinetic Theory of Liquids, Akad. Nauk SSSR (1945); G. I. Skanavi, Dielectric Physics, GITTL, Moscow (1949).Google Scholar
  9. 8.
    A. A. Lebedev and E. A. Porai-Koshits, Izv. Sekt. Fiz-Khim. Anal. Inst Obshch. Neorgan. Khim. Akad. Nauk SSSR, 16(4):51 (1946)Google Scholar
  10. 8a.
    J. Biscoe and B. E. Warren, J. Amer. Chem. Soc, 21:287 (1938); R. L. Green, J. Amer. Ceram. Soc, 25:83 (1942).Google Scholar

Copyright information

© Springer Science+Business Media New York 1971

Authors and Affiliations

  • Rudol’f L. Myuller
    • 1
  1. 1.Leningrad State UniversityLeningradUSSR

Personalised recommendations