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J. Electroat~al. Chem., 82 (1977) 1--7

1

Q Elsevier Sequoia S.A., Lausanne -- Printed in The Netherlands

VENIAMIN GRIGOR'EVICH LEVICH

On the occasion of his 60th birthday

Benjamin Levich was born on 30th March 1917 in Khar'kov where he was also educated. At Khar'kov University he studied under Landau who continued to supervise his postgraduate work at the V.I. Lenin State Pedagogical Institute in Moscow. With Landau he started work on interfacial phenomena. His doctoral thesis, completed at the age of 26, concerned the theory of the processes occurring in an electrolytic cell during the passage of current. This study led on to the general phenomenon of concentration polarization and the development of the rotating disc electrode as an electrochemical tool. This work brought him an international reputation and it probably remains the most widely known single piece of his work. During this period Levich joined Frumkin at the Institute for Colloid Chemistry and Electrochemistry (later the Institute of Physical Chemistry} of the Academy of Sciences of the U.S.S.R. The first phase of Levich's work culminated in the publication of his book Physicochemical Hydrodynamics in 1952. This was revised and enlarged in 1959 and translated into English in 1962. It is a seminal work, since it is no exaggeration to say that this subject was created by Levich. The generalization of the theory developed in the first instance for electrochemical systems to problems of mass and heat exchange in engineering systems resulted from a masterly combination of theoretical physics with experimental science and engineering. This work resulted in his election to the Academy of Science of the U.S.S.R. as a corresponding member, and eventually to the creation for him of a chair of


Physicochemical Hydrodynamics at Moscow State University. He was removed from the latter in 1972. Levich was also active in the teaching of theoretical physics. He previously held the Chair of Theoretical Physics at Moscow Physical Engineering Institute and it is notable that many of his distinguished associates and co-workers began their scientific life as his pupils. Besides being an excellent lecturer he is vigorous and lively in discussions, stimulating all around him to give their best. In 1954 he wrote an "Introduction to Statistical Physics", to be followed in the 1970's by a major work on Theoretical Physics published in English in translation from an earlier Russian edition. In the 1960's Levich's work branched out into a greal~ many directions with the help of a large group of co-workers. Some of this work has clear roots in his interest in hydrodynamics, like the theory of industrial catalytic reactors, fluidized beds, the problems of porous electrodes, and of semi-immersed electrodes. Others arise from his interest in theoretical physics like the theory of gas phase collision reactions, the development of a theory of the photo-emission of electrons from electrodes into solutions, the quantum-mechanical theory of electron transfer between ions in solution and between an ion and an electrode. Yet others arise from a combination of these interests with the stimulation of the electrochemical environment in the Institute of Electrochemistry of the Soviet Academy, the theory of noise in electrochemical systems, the theory of faradaic heterodyning, the statistical theory of adsorption at electrodes, the dynamics of charge transfer through the electrical double layer, the theory of the ring-disc electrode and the fundamental nature of biological charge transfer processes. A list of the published papers bearing his name appears at the end of this note. Many more have been stimulated by him. The readers of this note will not need to be reminded of the present situation of this remarkable man. It is a tragedy that for five years he has been unable to use his great abilities to help his fellow men in his own country or elsewhere. The contributors to this issue hope that this unhappy situation will be resolved soon and that Benjamin Levich will be able to resume his scientific work to the full extent of his notable power. In the meantime they join with his many other friends throughout the world in celebrating his past achievements on his sixtieth birthday.
Published work of V.G. Levich (compiled from Chemical Abstracts)

1 V.G. Levich, Damping of waves by surface-active substances. I, Acta Physicoehim. URSS, 14 (1941) 307--20 (also in J. Exptl. Theor. Phys. USSR, 11 (1941) 340). 2 V.G. Levich, Damping of waves by surface-active substances. II, Acta Physicochim. URSS, 14 (1941) 321--8. 3 V.G. Levich and A.N. Frumkin, Ohmic resistance of local elements during the solution of metals in acids, Zh. Fiz. Khim., 15 (1941) 748--59. 4 V.G. Levich, The theory of concentration polarization. I, Acta Physicochim. URSS, 17 (1942) 257--307. 5 V.G. Levich and A.N. Frumkin, Ohmic resistance of local voltaic cells in the process of the solution of metals in acids, Acta Physicochim. URSS, 18 (1943) 325--40. 6 V.G. Levich, Theory of concentration polarization. II. Steady-state regime, Aeta Physicochim. URSS, 19 (1944) 117--32. 7 V.G. Levich, Theory of concentration Polarization, Zh. Fiz. Khim., 18 (1944) 335--55. 8 A.N. Frumkin and V.G. Levich, The movement of solid and liquid metal particles in electrolyte solutions. I. The movement in electric field, Acta Physicoehim. URSS, 20 (1945) 769--808 (also in Zh. Fiz. Khim., 19 (1945) 573--600).


9 A.N. Frumkin and V.G. Levich, Tbe motion of solid and liquid metallic bodies in solutions of electrolytes. II. Motion in the field of gravity, Acta Physicochim. URSS, 21 (1946) 193--212 (also in Zh. Fiz. Khim., 21 (1947) 953--66). 10 M.I. T~mkin and V.G. Levich, Adsorption equilibrium on heterogeneous surfaces, Zh; Fiz. Khim., 20 (1946) 1441--57. 11 A.N. Frumkin and V.G. Levicb, Reply to a criticism by J.J. Bikerman, Zh. Fiz. Khim., 21 (1947) 399. 12 V.G. Levich, Movement of solid and liquid metal particles in electrolyte solutions. III. The general theory, Zh. Fiz. Khim., 21 (1947) 689--701. 13 A.N. Frumkin and V.G. Levich, Effect of surface-active substances on movements at the boundaries of liquid phases, Zh. Fiz. Khim., 21 (1947) 1183--1204. 14 V.G. Levich, Theory of the diffusion kinetics of heterogeneous chemical processes. I. Reactions at the interface solid-liquid, Zh. Fiz. Khim., 22 (1948) 575--85. 15 V.G. Levich, Theory of the diffusion kinetics of heterogeneous chemical processes. II. Reactions taking place at the solid-liquid boundary in a turbulent flow, Zh. Fir. Khim., 22 (1948) 711--20. 16 V.G. Levich, Theory of the diffusion kinetics of heterogeneous chemical processes. III. Reactions taking place at the liquid-gas boundary, Zh. Fir. Khim., 22 (1948) 721--9. 17 V.G. Levich, Theory of the non-equilibrium double layer, Doki. Akad. Nauk SSSR, 67 (1949) 309--12. 18 V.G. Levich and N.N. Meiman, Theory of slow heterogeneous reaction in a moving liquid, Dokl. Akad. Nauk SSSR, 79 (1951) 97--100. 19 V'.G. Levicb, Diffusion kinetics of electrochemical processes, Tr. Soveshch. Elektrokhim. Akad. Nauk SSSR, Otd. Khim. Nauk, 1950 (1953) 193--201. 20 B.V. Deryagin and V.G. Levich, The theory of repulsive forces in electrolyte layers between unequally charged plates, Dokl. Akad. Nauk SSSR, 98 (1954) 985--8. 21 V.G. Levich, Physicochemical Hydrodynamics, Izd. Akad. Nauk SSSR, 1952 (2nd Edn., 1959; english translation, Prentice Hall, 1962). 22 V.G. Levich, Theory of the coagulation of colloids in the turbulent stream of a liquid, Dokl. Akad. Nauk SSSR, 99 (1954) 809--12. 23 V.G. Levich, The theory of the coagulation and precipitation of particles of aerosol in a turbulent gas stream. The coefficient of collection of aerosol particles, Dokl. Akad. Nauk SSSR, 99 (1954) 1041--4. 24 V.G. Levich, The stabilization of suspensions, emulsions and colloids, Dokl. Akad. Nauk SSSR, 103 (1955) 453--6. 25 J.A. Koutecky and V.G. Levich, An application of a rotating disc electrode to the study of kinetic and catalytic processes in electrochemistry, Doki. Akad. Nauk SSSR, 117 (1957) 441--4. 26 V.G. Levich and V.A. Myamlin, The motion of mercury drops in gravitational and magnetic fields, Zh. Fiz. Khim, 31 (1957) 2453--7. 27 Yu.B. Ivanov and V.G. Levich, Convective diffusion in the critical range of binary liquid systems, Zh. Fiz. Khim., 32 (1958) 592--7. 28 J.A. Koutecky and V.G. Levich, The use of a rotating disc electrode in the study of electrochemical kinetics and electrolytic processes, Zh. Fiz. Khim., 32 (1958) 1565--75. 29 V.G. Levich, Diffusion kinetics of electrochemical reactions, Tr. Chetvertogo Soveshshaniya po Elektrokhimii, Moscos, 1956, pp. 649--60 (published 1959). 30 R.R. Dogonadze, V.G. Levich and Yu.A. Chizmadzhev, Theory of electrochemical protection. I. Process determined by the rate of a chemical reaction, Zh. Fiz. Khim., 33 (1959) 1111--8. 31 V.A. Kix'yanov and V.G. Levich, Theory of the electrical double layer at the metal-electrolyte interface, Nekotorye Voprosy Inzhener. Fiz., No. 3 (1958) 5--27. 32 V.G. Levich and R.R. Dogonadze, Theory of non-radiative electron transitions in solution from ion to ion, Doki. Akad. Nauk SSSR, 124 (1959) 123--6. 32aA.N. Frumkin, L. Nekxassov, V.G. Levich and Yu. Ivanov, Die Anwendung der rotierenden Scheibenelektrode mit einem Ringe zur Untersuchung von Zwischenprodukten electrochemischer Reaktionen, J. Electroanal. Chem., 1 (1959) 84--90. 33 Yu.A. Vdovin, V.G. Levich and V.A. Myamlin, Volt-ampere characteristics of an electrolyte-electronic semiconductor contact, Dokl. Akad. Nauk SSSR, 124 (1959) 350--3. 34 V.G. Levich, Theory of the non-equilibrium double layer, Dokl. Akad. Nauk SSSR, 124 (1959) 869--72. 35 R.R. Dogonadze, V.G. Levich and Yu.A. Chizmadzhev, Theory of electrochemical protection, II. Reactions with diffusion control, Zh. Fiz. Khim., 34 (1960) 2320--7. 36 Yu.B. Ivanov and V.G. Levich, Study of unstable intermediate products from electrode reactions by means of a rotating disc electrode, Doki. Akad. Nauk SSSR, 126 (1959) 1029--32. 37 V.G. Levich and Yu.A. Chizmadzhev, Convective instability in an electrochemical system, Dokl. Akad. Nauk SSSR, 134 (1960) 380--3. 38 Yu.A. Vdovin, V.G. Levich and V.A. Myamlin, Anodic dissolution of germanium, Doki. Akad. Nauk SSSR, 126 (1959) 1296--9.


39 V.G. Levich, V.A. Kir'yanov and V.S. Krylov, Effects of the discrete nature of charge and properties of the double layer on the metal-solution interface. Calculation of the discrete structure of the charge of specifically adsorbed ionic layers, Dokl. Akad. Nauk SSSR, 135 (1960) 1425--8. 40 V.G. Levich and V.S. Krylov, Theory of the electrical double layer in concentrated solutions, Dokl. Akad. Nauk SSSR, 141 (1961) 1403--5. 41 V.G. Levich and V.S. Krylov, Adsorption isotherms in a discrete electrical double layer, Dokl. Akad. Nauk SSSR, 142 (1962) 123--6. 42 V.G. Levicb and Yu.I. Yalamov, Potential distribution at the surface of a strongly ionized polymer macromolecule in an electrolyte solution, Dokl. Akad. Nauk SSSR, 142 (1962) 399--402. 43 V.G. Levich and Yu.I. Yalamov, Certain problems in the theory of weakly ionized polyelectrolytes, Dokl. Akad. Nauk SSSR, 142 (1962) 851--4. 44 V.G. Levich and Yu.I. Yalamov, Theory of polyelectrolyte solutions, Zh. Fiz. Khim., 36 (1962) 1062, 1096--1102. 45 V.G. Levich, B.I. Khaikin and V.A. Kir'yanov, Faradaic impedance for reversible electrode processes involving catalytic evolution of hydrogen, Dokl. Akad. Nauk SSSR, 139 (1961) 925--8. 46 V.G. Levich and V.A. Kir'yanov, Statistical theory of solutions of strong electrolytes, Zh. Fiz. Kbim., 36 (1962) 1646--54. 47 V.G. Levich, B.I. Khaikin and S.G. Mairanovskii, Influence of the double layer on polarographic catalytic hydrogen volume waves, Dokl. Akad. Nauk SSSR, 145 (1962) 605--8. 48 V.G. Levich and B.M. Grafov, Alternating current in a binary electrolyte. Dokl. Akad. Nauk SSSR, 146 (1962) 398--401. 49 V.G. Levich and A.M. Kuznetsov, Motion of drops in liquids under the influence of surface-active substances, Dokl. Akad. Nauk SSSR, 146 (1962) 145--7. 50 V.G. Levich and B.M. Grafov, Effect of irreversibility of a reaction on the Faradaic impedance in a binary electrolyte, Dokl. Akad. Nauk SSSR, 146 (1962) 644--5. 51 V.G. Levicb and B.I. Khaikin, Irreversible polarography with volume catalytic hydrogen waves, Dokl. Akad. Nauk SSSR, 147 (1962) 146--9. 52 V.G. Levich and B.M. Grafov, Rectification effect on an ideally polarizable electrode, Dokl. Akad. Nauk SSSR, 146 (1962) 1372--3. 53 V.S. Krylov and V.G. Levieh, Theory of the double layer in concentrated solutions, I. Dielectricsolution boundary, Zh. Fiz. Khim., 37 (1963) 106--141. 54 V.G. Levich and B.M. Grafov, Faradaic rectification in a solution of a binary electrolyte, Dokl. Akad. Nauk SSSR, 147 (1962) 1402--5. 55 V.G. Levich, V.S. Markin and Yu.G. Chirkov, Electric conductivity and electron spin resonance signal in polymers with conjugated double bands, Dokl. Akad. Nauk SSSR, 149 (1963) 894--6.J 56 V.S. Krylov and V.G. Levich, Double layer in concentrated solutions. II. Metal-solution boundary, Zh. Fiz. Khim., 37 (1963) 2273--7. 57 V.G. Levich, Z.Ch. Grabowski and V.Yu. Filinovskii, Kinetic and catalytic currents on a hanging drop electrode, Dokl. Akad. Nauk SSSR, 151 (1963) 1379--82. 58 V.G. Levich, B.M. Grafov and B.I. Khalkin, Second harmonic phase of a variable potential and the transfer coefficients of rapid electrochemical reactions, Dokl. Akad. Nauk, SSSR, 154 (1964) 200--2. 59 V.G. Levich, V.A. Kix'yanov and V.S. Krylov, Properties of the double layer and the character of the electrostatic adsorption of ions, Dokl. Akad. Nauk SSSR, 155 (1964) 662--5. 60 V'.G. Levich and V.Yu. Filinovskii, Use of the hanging-drop electrode for the study of unstable products of electrode reactions, Bull. Acad. Polon. Sci. Ser. Sci. Cheim., 11 (1963) 701--10. 61 G.V. bevich, B.I. Khaikin and B.M. Grafov, Faraday heterodyning, Dokl. Akad. Nauk SSSR, 153 (1963) 1374--7. 62 V.G. Levich, Yu.A. Chizmadzhev and Yu.G. Chixkov, Polarization curves for electrodes partially submerged in solutions of electrolytes, Dokl. Akad. Nauk SSSR, 157 (1964) 404--7. 63 V.S. Krylov and V.G. Levich, Discreteness of the adsorbed charge as influencing interfaeial tension, Dokl. Akad. Nauk SSSR, 159 (1964) 409--12. 64 V.A. Kir'yanov and V,G. Levich, Statistical theory of non-equilibrium processes at the metal-solution interface. Statistical theory of non-equilibrium double layer, Dokl. Akad. Nauk SSSR, 159 (1964) 170--3. 65 V.G. Levich, V.S. Krylov and V.P. Vorotflin, Theory of extraction from a falling drop, Dokl. Akad. Nauk SSSR, 160 (1965) 1358--60. 66 V.G. Levich, V.S. Krylov and V.P. Vorotilin, Theory of unsteady diffusion from a moving drop, Dokl. Akad. Nauk SSSR, 161 (1965) 648--51. 67 V.G. Levich, B.I. Khaikin and E.D. Belokolos, Establishment of adsorption equilibrium on flat and dropping electrodes and the irreversible electrochemical conversion of adsorbed substances, Elektrokhimiya, I (1965) 1273--9. 68 V.G. Levich, Theory of macroscopic kinetics of heterogeneous and homogeneous-heterogeneous processes, Usp. Khim., 34 (1965) 1846--65.


69 L.M. Pis'men and V.G. Levich, Limit of a thermal chain reaction, Dokl. Akad. Nauk SSSR, 165 (1965) 144--6. 70 V.G. Levich and A.M. Brodskii, General theory of homogeneous-heterogeneous processes in moving media, Dokl. Akad. Nauk SSSR, 165 (1965) 607--10. 71 V.G. Levich, V.S. Markin and Yu.G. Chirkov, Thermal diffusion in liquids at the surface of a rotating disc, Elektrokhimiya, 1 (1965) 1416. 72 V.G. Levich and A.M. Brodskii, Theory of homogeneous-heterogeneous radial reactions in turbulent flow, Dokl. Akad. Nauk SSSR, 165 (1965) 1115--8. 73 A.M. Brodskii and V.G. Levich, The rate of formation of surface deposits in an elongated chemical reactor, Dokl. Akad. Nauk SSSR, 166 (1966) 151--4. 74 V.G. Levich, V.S. Markin and Yu.A. Chizmadzhev, Hydrodynamic mixing in a model of a porous medium with stagnant zones, Dokl. Akad. Nauk SSSR, 166 (1966) 1401--4. 75 V.G. Levich and Yu.I. Kharkats, Work of porous catalyst grain in fractional-order reactions under non-isothermal conditions, Dokl. Akad. Nauk SSSR, 167 (1966) 147--50. 76 V.G. Levich, L.M. Pis'men and S.I. Kuchanov, Hydrodynamic mixing in a g~canulax-layer physical model of stagnant zones, Dokl. Akad. Nauk SSSR, 168 (1966) 392--5. 77 V.G. Levich, V.S. Markin and Yu.A. Chizmadzhev, Longitudinal hydrodynamic mixing in porous media with stagnant zones, investigated with the aid of harmonic signals, Dokl. Akad. Nauk SSSR, 168 (1966) 1364--6. 78 V.G. Levich and V.P. Myasnikov, Kinetic theory of the fluidized state, Khim. Prom., 42 (1966) 404--8. 79 V.G. Levich, Elementaxy processes in microkinetics, Pure Appl. Chem., 10 (1965) 643--57. 80 V.G. Levich, Present state of the theory of oxidation reduction in solution (bulk and electrode reactions), Advan. Electrochem. Electrochem. Eng., 4 (1966) 249--371. 81 V.G. Levich, Yu.I. Kharkats and L.M. Pis'men, The influence of external diffusion inhibition on the process in a porous catalyst, Dokl. Akad. Nauk SSSR, 171 (1966) 406--9. 82 A.M. Brodskii and V.G. Levich, Chemical reactor theory for homogeneous-heterogeneous processes in continuous flow reactors, Teor. Osn. Khim. Tekhnol., 1 (1967) 147--57. 83 S.I. Kuchanov and V.G. Levich, Energy dissipation in a turbulent gas containing suspended solid particles, Dokl. Akad. Nauk SSSR, 174 (1967) 1033--6. 84 L.M. Pis'men, S.I. Kuchanov and V.G. Levich, Tranverse diffusion in a granulax layer, Dokl. Akad. Nauk SSSR, 174 (1967) 650--3. 85 V.G. Levich, L.M. Pis'men and E.D. German, Packed bed reactor calculations based on the cell model, Teor. Osn. Khim. Tekhnol., 1 (1967) 366--73. 86 V.G. Levich, V.S. Markin and Yu.A. Chizmadzhev, Hydrodynamic mixing in a model of a porous medium with stagnant zones, Chem. Eng. Sci., 22 (1967) 1357. 87 Yu.Ya. Gurevich, A.M. Brodskii and V.G. Levich, Fundamental principles of the electrode photo effect theory, Elektrokhimya, 3 (1967) 1302--10. 88 V.G. Levich, A.M. Brodskii and L.M. Pis'men, Theory of branching homogeneous-heterogeneous chain reactions in a flow, Dokl. Akad. Nauk SSSR, 176 (1967) 371--3. 89 V.G. Levich, Theory of macroscopic kinetics of heterogeneous and homogeneous-heterogeneous processes, Ann. Rev. Phys. Chem., 18 (1967) 153--76. 90 Khr. Boyadzhiev, V.G. Levich and V.S. Krylov, The effect of surface-active agents on mass transfer in laminar liquid films. I. Improvement of eddy diffusion theory, Izv. Inst. Obshta Neorg. Khim., Bulg. Akad, Nauk, 5 (1967) 57--63. 91 V.G. Levich, R.R. Dogonadze and A.M. Kuznetsov, The theory of electrode reactions, Dokl. Akad. Nauk SSSR, 179 (1968) 137--40. 92 V.G. Levich, Modern state of the theory of oxidation-reduction processes in solutions (volume and electrode reactions), Itogi Nauki Elektrokhim., 1965 (published 1967), pp. 5---116. 93 V.G. Levich, Wave theory of the kinetics of chemical reactions, Vestn. Akad. Nauk SSSR, 38 (1968) 18--24. 94 V.G. Levich and S.I. Kuehanov, Motion of solid particles suspended in a turbulent gas flow, Dokl. Akad. Nauk SSSR, 174 (1967) 763--6. 95 V.G. Levich and L.M. Pis'men, Steady state operations of reactors with granular catalyst layers, Dokl. Akad. Nauk SSSR, 176 (1967) 150--3. 96 V.S. Krylov, Kh. Boyadzhiev and V.G. Levieh, Theory of convective diffusion in thin liquid films, Dokl. Akad. Nauk SSSR, 175 (1967) 156--9. 97 E.Ya. Klimenkov, B.M. Grafiv, V.G. Levich and I.V. Strizhevskii, Limiting current of an electrode occupying the inner surface of a channel, Elektrokhimiya, 5 (1969) 202--6. 98 A.M. Brodksii, Yu.Ya. Gurevich and V.G. Levich, Homo-heterogeneous unbranchedradical reactions, Dokl. Akad. Nauk SSSR, 183 (1968) 1143--6. 99 A.M. Brodskii, V.G. Levich and V.V. Tolmachev, Minimum momentum transfer principle for elementary chemical reactions and the Polanyi rule, Dokl. Akad. Nauk SSSl~, 183 (1968) 852--5. 100 E. Ya. Klimenkov, B.M. Grafov, V.G. Levieh and I.V. Strizhevskii, Effect of a periodic pressure gradient component on the limiting electrical current, Elektrokhimiya, 5 (1969) 707--10.


101 B.M. Davidovich, V.G. Levich and V.V. Tolmachev, Computations of energy shifts for degenerate levels of multielectronie atoms, Dokl. Akad. Nauk SSSR, 186 (1969) 124--7. 102 V.S. Krylov, V.P. Vorotilin and V.G. Levich, Theory of wave motion of thin liquid films, Teor. Osn. Khim. Tekhnol,, 3 (1969) 499--507. 103 A.M. Brodskii and V.G. Levich, Experimentally checked results of the principle of minimum momentum transfer for substitution reactions, Dokl. Akad. Nauk SSSR, 186 (1969) 1344--7. 104 A.M. Brodskii and V.G. Levich, Justification of the separation of electron and nuclear motions during reactions in atomic-molecular systems, Dokl. Akad. Nauk SSSR, 191 (1970) 126--9. 105 R.R. Dogonadze, A.M. Kuznetsov and V.G. Levich, Quantum mechanical models of a polar liquid, Dokl. Akad. Nauk SSSR, 188 (1969) 383--6. 106 V.G. Levich, R.R. Dogonadze, E.D. German, A.M. Kuznetsov and Yu.I. Kharkats, Theory of homogeneous reactions involving proton transfer, Electrochim. Acta, 15 (1970) 353--67. 107 V.G. Levich, A.M. Brodskii and V.V. Tolmachev, Wave theory of cross-section of gas-phase Substitution reactions. I. Derivation of a formula for the cross-sections, Khim. Vys. Energ., 4 (1970) 101--7. 108 V.G. Levich, R.R. Dogonadze, M.A. Vorotyntsev, E.D. German, A.M. Kuznetsov and Yu.I. Kharkats, Quantum theory of the kinetics of electrochemical processes, Elektrokhimiya, 6 (1970) 562--8. 109 A.M. Brodskii, V.G. Levich and V.V. Tolmachev, Wave theory of the cross-section of gas-phase substitution reactions. If. Overlap integral and general properties of the energy and angular functions of the cross-section, Khim. Vys. Energ., 4 (1970) 195--201. 110 E.D. German, R.R. Dogonadze, A.M. Kuznetsow, V.G. Levich and Yu.I. Kharkats, Theory of the isotopic effect in electrode processes, Elektrokhimiya, 6 (1970) 350--3. 111 E.Ya. Klimenkov, B.M. Grafov, V.G. Levich and I.V. Strizhevskii, Diffusion in a one-sided electrode in a plane parallel channel in the presence of Poiseuille flow, Elektrokhimiya, 6 (1970) 1028--33. 112 E.Ya. Klimenkov, B.M. Grafov, V.G. Levich and I.V. Strizhevskii, Relaxation of the diffusion process in a channel in the presence of time variable hydrodynamic flow, Elektrokhimiya, 6 (1970) 1024--8. 113 E.Ya. Klimenkov, B.M. Grafov, V.G. Levich and I.V. Strizhevskii, Establishment of a periodic diffusion process in a plane channel, Elektrokhimiya, 6 (1970) 1382--7. 114 S.Kh. Ait'yan, V.G. Levich, V.S. Markin and Ya.A. Chizmadzhev, Generalized model of ion transport through synthetic phospholipid membranes, Dokl. Akad. Nauk SSSR, 193 (1970) 1402--5. 115 V.G. Levich and A.M. Kuznetsov, Calculation of the rate constant of a reaction with chagre transfer in a polar liquid in the harmonic approximation. Teor. Eksp. Khim., 6 (1970) 291--7. 116 V.G. Levich, E.D. German, R.R. Dogonadze, A.M. Kuznetsov and Yu.I. Kharkats, Quantum statistical theory of the kinetics of homogeneous reactions with proton transfer, Teor. Eksp. Khim., 6 (1970) 455--61. 117 E.Yu. Klimenkov, B.M. Grafov, V.G. Levieh and I.V. Strizhevskii, Determination of an alternating diffusion current of a spherical electrode, Elektrokhimiya, 6 (1970) 1742--6. 118 V.G. Levich, N.G. Mazur and V.S. Markin, Saltatory excitation in a Lillie-Bonhoeffer model of a myelinated nerve fibre, Doki. Akad. Nauk SSSR, 195 (1970) 209--12. 119 V.A. Lopatin, B.M. Grafov and V.G. Levich, Calculation of a variable diffusion current on a vibrating electrode taking into account the electrode reaction rate, Elektrokhimiya, 7 (1971) 12{}--3. 120 V.A. Lopatin, B.M. Grafov and V.G. Levich, Mass transfer to a rotating disc electrode in the case of a time-dependent bulk concentration of reacting substance, Elektrokhimiya, 7 (1971) 123--6. 121 V.G. Levich, N.G. Mazur and V.S. Markin, Impulse blocking in an electrochemical model of a nerve, Dokl. Akad. Nauk SSSR, 198 (1971) 1214--6. 122 V.G. Levich, Kinetics of reactions with charge transport, in H. Eyring (ed)., Treatise on Physical Chemistry, 9B (1970) 985--1074. 123 R.R. Dogonadze, L.I. Krishtalik and V.G. Levich, Theory of the elementary processes of electrode reactions, Zh. Vses. Khim. Obshchestva, im D.I. Mendeleeva, 16 (1971)613--20. 124 E.D. German, R.R. Dogonadze, A.M. Kuznetsov, V.G. Levich and Yu.I. Kharkats, Kinetics of chemical reactions in polar liquids, I. Theory. J. Res. Inst. Catal., Hokkaido Univ., 19 (1971) 99--114. 125 E.D. German, R.R. Dogonadze, A.M. Kuznetsov, V.G. Levich and Yu.I. Kharkats, Kinetics of chemical reactions in polar liquids. II. Comparison with experiment, J. Res. Inst. Catal., Hokkaido Univ., 19 (1971) 115--25. 126 V.G. Levich, A.K. Madumarov and Yu.I. Kharkats, Role of bridging ions in electron transfer reactions, Doki. Akad. Nauk SSSR, 203 (1972) 1351--3. 127 V.G. Levich and V.M. 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