In memory of Zinoviy Gurskii
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Інститут фізики конденсованих систем НАН України
2004
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| Cite this: | In memory of Zinoviy Gurskii / T. Bryk // Condensed Matter Physics. — 2004. — Т. 7, № 2(38). — С. 205-210. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1859818663125712896 |
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| author | Bryk, T. |
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| citation_txt | In memory of Zinoviy Gurskii / T. Bryk // Condensed Matter Physics. — 2004. — Т. 7, № 2(38). — С. 205-210. — англ. |
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In memory of Zinoviy Gurskii
On May 29, 2004 Professor Zinoviy Gurskii, one of the leading Ukrainian experts
in the theory of metals and alloys, would be 60. Unfortunately, a heavy illness took
away on January 28, 2004 the life of the noted scientist and remarkable person.
Zinoviy Gurskii was born on May 29, 1944 in Lviv. After the secondary school
he started in 1961 studies at the Department of Physics of I.Franko Lviv State Uni-
versity. As one of the most talented young Ukrainian students Zinoviy Gurskii spent
the last three years of his studies in Moscow and graduated from the M.Lomonosov
Moscow State University in 1967. Immediately thereafter he began his research at
the A.Baikov Institute of Metallurgy of the Academy of Sciences of USSR in Moscow
under the guidance of a well-known expert in solid state theory Professor G.Krasko.
Theory of metals and electronic liquid was among the most urgent issues in
the physics in the 60-s of the last century. In the solid state theory a concept of
pseudopotential, proposed in 1959 by J.Phillips and L.Kleinman, was very promis-
ing in treating the valence states in metals. The Phillips-Kleinman pseudopotential
obtained by a transformation of atomic potential due to orthogonalization effects
205
was much weaker than the atomic potential, which made it suitable for the treat-
ment in the perturbation theory for electron states. Later on, in 1964 V.Heine and
I.Abarenkov proposed a method of model pseudopotential, in which the effective
electron-ion interaction had no Coulomb asymptotics in the ion core region, but was
represented by a momentum dependent constant values, that provided the nonlocal
form of pseudopotential.
Namely the model approach in the theory of pseudopotentials was in the fo-
cus of Z.Gurskii’s Ph.D. studies. Model pseudopotentials were needed in order to
exclude core electron states from the treatment in electron-ion Hamiltonian and rep-
resent the wave functions of lowest valence electrons as nodeless orbitals. Z.Gurskii
and G.Krasko proposed a new model pseudopotential, which in contrast to the
Heine-Abarenkov effective potential was an analytical continuous function inside
and outside the ion core region. Simplicity of analytical form and fast convergence
of perturbation expansions provided the success and wide applicability of this ef-
fective electron-ion potential, which very soon has been named in the literature as
Krasko-Gurskii pseudopotential.
After the return to Lviv in 1970 Z.Gurskii started his scientific career at the
Lviv Department of statistical theory of condensed states from the Kyiv Institute
for Theoretical Physics, created just in 1969 in Lviv by N.Bogolyubov and headed by
I.Yukhnovskii. In 1971 Zinoviy Gurskii received his Ph.D. degree from I.Franko Lviv
State University defending the thesis entitled “A method of model pseudopotentials
and some atomic properties of simple metals”.
The pseudopotential theory remained in the focus of Z.Gurskii’s research after
Ph.D. defence, but he turned to the problems of first-principles pseudopotentials of
Phillips-Kleinman type, which due to the overcompleteness of the set of orthogonal-
ized plane waves displayed numerical instabilities in calculations with large number
of basis functions. Using the original idea by M.Girardeau (1971) Zinoviy Gurskii
together with his brother Bohdan formulated a mathematical formalism of com-
pletely orthogonalized plane waves (COPW). The pseudopotentials obtained in the
COPW formalism did not depend on the sought electron energy as it was in the
case of Phillips-Kleinman pseudopotentials. At that time the COPW approach was
the only mathematically exact form of ab initio effective electron-ion interactions
obtained from atomic Hamiltonian via unitary transformation in order to get rid
of the core electronic states. Unfortunately these results by Gurskii brothers were
not published in regular international journals, that would bring them wide recog-
nition. Much later, only in 1992 L.Kleinman and D.M.Bylander proposed similar
unitary transformation with the purpose of obtaining the so-called “exact Phillips-
Kleinman-like pseudopotential”.
Starting from the late 70-s Z.Gurskii got interested in physics of disordered sys-
tems and electronic processes in transition metals. Active research on the applica-
bility of pseudopotential theory to liquid metals received high recognition. In 1983
Zinoviy Gurskii together with a group of physicists from the I.Franko Lviv State
University received the State Award of Ukraine for a series of works entitled “Ex-
perimental and theoretical studies on physics of liquid metals”.
206
In parallel to the development of pseudopotential method, Z.Gurskii worked on
the theory of phase transitions and the problems of phase diagram calculations for bi-
nary alloys. A statistical theory free of phenomenological parametrs, which described
the substitutional alloys in a wide range of temperatures, pressure and concentra-
tions, was created using the method of collective variables. This theory permitted to
estimate a critical region and to predict the behaviour of thermodynamic functions
in binary alloys close to the temperature of phase transition order-disorder. In 1985
Z.Gurskii received the degree of Doctor of Sciences from the M.Lomonosov Moscow
State University for the thesis entitled “A method of pseudopotentials in theory of
metals and alloys”. Later on all these results in pseudopotential theory and sta-
tistical theory of binary alloys were put together in the book “Quantum-statistical
theory of disordered systems” (Kyiv,Naukova Dumka,1991) written together with
Professor I.Yukhnovskii.
Important results were obtained by Z.Gurskii and his group in the studies of
lattice dynamics in disordered alloys. The standard approach in the framework of
coherent potential approximation did not take into account the fluctuations in local
structure around the atoms in disordered alloys. A simple and effective approxima-
tion of a mean correlated crystal was proposed and successfully used in accounting
for the effects of short-range order in collective dynamics of disordered binary alloys.
There were explained the features of a high-frequency region in the phonon density
of states for disordered alloys at low temperatures, when the effects of short-range
order became essential close to the temperature of phase transition order-disorder.
Z.Gurskii developed a microscopic approach which accounted for the effect of local
atomic static displacements on the thermodynamics of binary alloys. A new equa-
tion for amplitudes of atomic static displacements was obtained, which permitted
to perform calculations of the amplitudes from the first principles.
Since 1999 Zinoviy Gurskii has been a visiting Professor at the Opole University
in Poland. During this period his interests concerned many-particle interactions in
metals, construction of spin-dependent interatomic potentials in transition metals
and studies of thermal atomic vibrations in the thermodynamics of binary alloys.
Up to his last days Professor Gurskii was head of the Department for Theory
of Metals and Alloys at the Institute for Condensed Matter Physics of the National
Academy of Sciences of Ukraine. Over three decades of his scientific career Z.Gurskii
published numerous papers in Ukrainian and international journals. He was the
member of the editorial boards of the journals “Condensed Matter Physics” (Lviv)
and “Progress in Physics of Metals” (Kyiv). Professor Z.Gurskii was a supervisor
of eight successful Ph.D. works and a scientific adviser of two research works for
Doctor of Sciences degree. Being a very intelligent and sincere person Zinoviy Gurskii
was always open for discussions and advice. He created an atmosphere of warm
human relations in his Department that provided successful work of the group.
Unfortunately a heavy illness stopped the life of this extremely intelligent and very
warm person. Many of the unfinished ideas by Zinoviy Gurskii are being further
developed by his colleagues and followers.
Taras Bryk
207
Selected publications by Z.Gurskii
1. Yukhnovskii I.R., Gurskii Z.A. Quantum-statistical theory of disordered sys-
tems. Kiev, Naukova Dumka, 1991, (in Russian).
2. Krasko G.L., Gurskii Z.A. On some model pseudopotential. // Pis’ma ZhETF
(JETP Lett.), 1969, vol. 9, No. 10, p. 596–601, (in Russian).
3. Gurskii Z.A., Krasko G.L. A model pseudopotential and stability of crystal
structures of some simple metals. // Fizika Tverd. Tela (Sol. State. Phys.),
1969, vol. 11, No. 10, p. 3016–3019, (in Russian).
4. Krasko G.L., Gurskii Z.A. A model pseudopotential and some atomic prop-
erties of alkali and alkaline-earth metals. // Doklady AN SSSR (Sov. Phys.
Doklady Acad. Sci. USSR), 1971, vol. 197, No. 4, p. 810–813, (in Russian).
5. Krasko G.L., Gurskii Z.A. Pseudopotential theory and Vegard’s law in alloys
of alcali metals. // Fizika Tverd. Tela (Sol. State. Phys.), 1972, vol. 14, No. 2,
p. 321–325, (in Russian).
6. Belenkii A.Ya., Krasko G.L., Gurskii Z.A. On calculations of cohesive energy
and equilibrium lattice constant of disordered alloys of Li-Mg system.
// Fizika Tverd. Tela (Sol. State. Phys.), 1973, vol. 15, No. 11, p. 3473–3475,
(in Russian).
7. Gurskii Z.A. A zeroth model in the pseudopotential theory and some atomic
properties of alcali metals and their alloys. // Fizika Met. Metalloved. (Phys.
Metals Metallogr.), 1973, vol. 36, No. 2, p. 265–269, (in Russian).
8. Gurskii B.A., Gurskii Z.A. On a new formalism of completely orthogonalized
plane waves in the pseudopotential theory. // Ukr. J. Phys., 1976, vol. 21,
No. 10, p. 1603–1608, (in Ukrainian).
9. Gurskii B.A., Gurskii Z.A. On a new class of pseudopotentials constructed on
a basis set of completely orthogonalized plane waves. // Ukr. J. Phys., 1976,
vol. 21, No. 10, p. 1609–1614, (in Ukrainian).
10. Gurskii Z.A., Gurskii B.A. Pseudopotential of a binary alloy in the method
of completely orthogonalized plane waves. // Fizika Met. Metalloved. (Phys.
Metals Metallogr.), 1978, vol. 46, No. 5, p. 903–908, (in Russian).
11. Gurskii Z.A., Gurskii B.A. Pseudopotential of transition metals. // Fizika
Met. Metalloved. (Phys. Metals Metallogr.), 1980, vol. 50, No. 5, p. 928–937,
(in Russian).
12. Zhovtanetskii M.I., Gurskii Z.A., Dutchak Ya.Y., Yakibchuk P.N. A mod-
el pseudopotential of transition metals. Total cohesive energy of 3d-metals.
// Fizika Met. Metalloved. (Phys. Metals Metallogr.), 1981, vol. 51, No. 6,
p. 1183–1190, (in Russian).
13. Gurskii Z.A., Gurskii B.A. Total cohesive energy of transition metals. // Fizika
Met. Metalloved. (Phys. Metals Metallogr.), 1981, vol. 52, No. 5, p. 932–941,
(in Russian).
208
14. Gurskii Z.A., Syrotyuk S.V. On limits of applicability of small core approxi-
mation to rare-earth metals. // Ukr. J. Phys., 1982, vol. 27, No. 5, p. 740–744,
(in Russian).
15. Yukhnovskii I.R., Gurskii Z.A. Analysis of first and second order phase tran-
sitions in binary alloys by the method of collective variables. // Fizika Met.
Metalloved. (Phys. Metals Metallogr.), 1983, vol. 56, No. 4, p. 672–681,
(in Russian).
16. Gurskii Z.A., Varanitskii V.I. Free energy of binary alloys. Calculations in high-
temperature region. // Fizika Met. Metalloved. (Phys. Metals Metallogr.),
1984, vol. 57, No. 5, p. 883–891, (in Russian).
17. Gurskii Z.A. Atomic properties of rare-earth metals in mixed valence state.
// Metallofizika (Metal Phys.), 1984, vol. 6, No. 1, p. 37–43, (in Russian).
18. Gurskii Z.A. Pseudopotential of disordered metals. // Fizika Tverd. Tela
(Sol. State Phys.), 1985, vol. 27, No. 3, p. 614–620, (in Russian).
19. Yukhnovskii I.R., Gurskii Z.A., Chushak Ya.G.. On a contribution of atomic
oscillations to the thermodynamic properties of binary alloys. // Fizika Met.
Metalloved. (Phys. Metals Metallogr.), 1987, vol. 63, No. 6, p. 1089–1096,
(in Russian).
20. Zelenchuk I.M., Pyluyk I.V., Gurskii Z.A., Kozlovskii M.P. First pronciple cal-
culations of the phase diagram order-disorder for substitutional binary alloys.
// Ukr. J. Phys., 1988, vol. 33, No. 8, p. 1197–1200, (in Russian).
21. Chushak Ya.G., Gurskii Z.A. Lattice dynamics of binary alloys with accounting
short-range order. // Fizika Met. Metalloved. (Phys. Metals Metallogr.), 1989,
vol. 68, No. 6, p. 1207–1209, (in Russian).
22. Gurskii Z.A., Chushak Ya.G. A study of the electron-phonon coupling con-
stant for disordered systems in the vicinity of phase transition temperature.
// Supercond.: Phys. Chem. Tech., 1990, vol. 3, No. 5, p. 799–804, (in Russian).
23. Gurskii Z.A., Chushak Ya.G. Lattice dynamics of binary alloys.
// Phys. Stat. Sol. (b), 1990, vol. 157, No. 2, p. 557–566.
24. Yukhnovskii I., Gurskii Z., Chushak Ya. Calculation of the free energy and
the pair correlation functions of disordered binary alloys by the method of
collective variables. // Phys. Stat. Sol. (b), 1991, vol. 163, No. 1, p. 107–118.
25. Gurskii Z.O., Bryk T.M. A method of electronic structure calculations of tran-
sition and rare-earth metals based on the formalisms of completely orthogo-
nalized plane waves and operator continued fractions. // Ukr. J. Phys., 1991,
vol. 36, No. 11, p. 1720–1727, (in Ukrainian).
26. Chushak Ya.G., Gurskii Z.A. A study of the oxygen atom ordering in
YBa2Cu3O6+δ. // Supercond.: Phys. Chem. Tech., 1991, vol. 4, No. 11, p. 2119–
2127, (in Russian).
209
27. Gurskii Z., Chushak Ya. Influence of short-range order on the electron-phonon
interaction in disordered binary alloys. // Phys. Stat. Sol. (b), 1992, vol. 169,
No. 1, p. 57–63.
28. Bryk T., Gurskii Z. A new completely orthogonalized plane waves formalism
in the pseudopotential theory. // Theor. Math. Phys., 1993, vol. 96, No. 3,
p. 473–481.
29. Gurskii Z., Hannongbua S., Heinzinger K. On the structure of concentrated
lithium-liquid ammonia solutions. A molecular dynamics study. // Mol. Phys.,
1993, vol. 78, No. 2, p.461–474.
30. Gurskii Z., Khokhlov Yu. Microscopic theory of atomic static displacements
in substitutional binary alloys. // J. Phys.: Cond. Matt., 1994, vol. 6, No. 42,
p. 8711–8724.
31. Böcker J., Gurskii Z., Heinzinger K. Structure and dynamics at the liquid
mercury-water interface. // J. Phys. Chem., 1996, vol. 100, No. 36, p. 14969–
14977.
32. Hannongbua S., Kokpol S., Gurskii Z., Heinzinger K. Cluster formation in a
concentrated lithium-liquid ammonia solution. A Monte Carlo study.
// Zeitschrift für Naturforschung A., 1997, vol. 52, p. 828–834.
33. Gurskii Z., Krawczyk J. A new approach to deriving interatomic many-body
interactions in metals // Acta Physica Polonica A., 1998, vol. 94, No. 4, p. 671–
682.
34. Gurskii Z., Khokhlov Yu. Atomic static displacements and their effect on the
short-range order in alloys. // Condens. Matter Phys., 1998, vol. 1, No. 2(14),
p. 389–400.
35. Gurskii Z. On collective variables method in the microscopic theory of alloys.
// Condens. Matter Phys., 2000, vol. 3, No. 2(22), p. 307–334.
36. Gurskii Z., Krawczyk J. On the role of atomic thermal vibrations in i binary-
alloy thermodynamics. // Physica B., 2001, vol. 304, No. 1–4, p. 319–332.
37. Gurskii Z., Kaptur M., Krasnyj J., Krawczyk J. Electrical resistivity of simple
metal amorphous alloys at moderately low temperatures. // Physica B., 2003,
vol. 328, No. 3–4, p. 179–192.
38. Gurskii Z., Krawczyk J. The role of atomic static displacements in binary-alloy
formation. // Physica B., 2003, vol. 337, No. 1–4, p. 255–265.
210
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| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1607-324X |
| language | English |
| last_indexed | 2025-12-07T15:24:12Z |
| publishDate | 2004 |
| publisher | Інститут фізики конденсованих систем НАН України |
| record_format | dspace |
| spelling | Bryk, T. 2017-06-03T04:30:45Z 2017-06-03T04:30:45Z 2004 In memory of Zinoviy Gurskii / T. Bryk // Condensed Matter Physics. — 2004. — Т. 7, № 2(38). — С. 205-210. — англ. 1607-324X https://nasplib.isofts.kiev.ua/handle/123456789/119042 en Інститут фізики конденсованих систем НАН України Condensed Matter Physics In memory of Zinoviy Gurskii Article published earlier |
| spellingShingle | In memory of Zinoviy Gurskii Bryk, T. |
| title | In memory of Zinoviy Gurskii |
| title_full | In memory of Zinoviy Gurskii |
| title_fullStr | In memory of Zinoviy Gurskii |
| title_full_unstemmed | In memory of Zinoviy Gurskii |
| title_short | In memory of Zinoviy Gurskii |
| title_sort | in memory of zinoviy gurskii |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/119042 |
| work_keys_str_mv | AT brykt inmemoryofzinoviygurskii |