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Isaac B. Bersuker (Russian: Исаáк Бóрухович (Бори́сович) Берсýкер; born February 12, 1928) is a
Soviet The Soviet Union,. officially the Union of Soviet Socialist Republics. (USSR),. was a List of former transcontinental countries#Since 1700, transcontinental country that spanned much of Eurasia from 1922 to 1991. A flagship communist state, ...
- Moldоvan-American theoretical physicist and quantum chemist whose principal research is in
chemical physics Chemical physics is a subdiscipline of chemistry and physics that investigates physicochemical phenomena using techniques from atomic and molecular physics and condensed matter physics; it is the branch of physics that studies chemical process ...
,
solid-state physics Solid-state physics is the study of rigid matter, or solids, through methods such as quantum mechanics, crystallography, electromagnetism, and metallurgy. It is the largest branch of condensed matter physics. Solid-state physics studies how the l ...
, and
theoretical chemistry Theoretical chemistry is the branch of chemistry which develops theoretical generalizations that are part of the theoretical arsenal of modern chemistry: for example, the concepts of chemical bonding, chemical reaction, valence, the surface o ...
. Known for his "life-long years of experience in theoretical chemistry" working on the
electronic structure In quantum chemistry, electronic structure is the state of motion of electrons in an electrostatic field created by stationary nuclei. The term encompasses both the wave functions of the electrons and the energies associated with them. Electro ...
and properties of coordination compounds, Isaac B. Bersuker is “one of the most widely recognized authorities” in the theory of the
Jahn–Teller effect The Jahn–Teller effect (JT effect or JTE) is an important mechanism of spontaneous symmetry breaking in molecular and solid-state systems which has far-reaching consequences in different fields, and is responsible for a variety of phenomena in sp ...
(JTE) and the pseudo-Jahn–Teller effect (PJTE). His accomplishments include explaining the polarization of the atomic core in
Rydberg atom A Rydberg atom is an excited atom with one or more electrons that have a very high principal quantum number, ''n''. The higher the value of ''n'', the farther the electron is from the nucleus, on average. Rydberg atoms have a number of peculia ...
s, the effect of tunneling splitting in molecules and solids with a strong JTE, and the discovery of the PJTE origin of
ferroelectricity Ferroelectricity is a characteristic of certain materials that have a spontaneous electric polarization that can be reversed by the application of an external electric field. All ferroelectrics are also piezoelectric and pyroelectric, with the add ...
in cubic
perovskite Perovskite (pronunciation: ) is a calcium titanium oxide mineral composed of calcium titanate (chemical formula ). Its name is also applied to the class of compounds which have the same type of crystal structure as (XIIA2+VIB4+X2−3), known as ...
s. Known as the leading expert in JTE and PJTE, Bersuker is the permanent chairman of the international steering committee of the Jahn–Teller symposia. His present affiliation is with the Oden Institute for Computational Engineering and Science of the Department of Chemistry of
the University of Texas at Austin The University of Texas at Austin (UT Austin, UT, or Texas) is a public research university in Austin, Texas. It was founded in 1883 and is the oldest institution in the University of Texas System. With 40,916 undergraduate students, 11,075 ...
.


Early life, education, and career

Isaac (Izya) Bersuker was born on February 12, 1928, in
Chișinău Chișinău ( , , ), also known as Kishinev (russian: Кишинёв, r=Kishinjóv ), is the Capital city, capital and largest city of the Republic of Moldova. The city is Moldova's main industrial and commercial center, and is located in the ...
, then part of
Greater Romania The term Greater Romania ( ro, România Mare) usually refers to the borders of the Kingdom of Romania in the interwar period, achieved after the Great Union. It also refers to a pan-nationalist idea. As a concept, its main goal is the creation ...
, to a low-income family of Bessarabian Jewish descent. His father Boruch Bersuker was a carpenter, and his mother Bella Bersuker (Russian: Бéлла Хáймовна Берсýкер, 1896–1981) was a housewife with five kids. As a boy in a family of a modest background, Isaac got his elementary school education in
Talmud Torah Talmud Torah ( he, תלמוד תורה, lit. 'Study of the Torah') schools were created in the Jewish world, both Ashkenazic and Sephardic, as a form of religious school for boys of modest backgrounds, where they were given an elementary educat ...
and ORT.  He was 13 years old when the tragic events of
World War II World War II or the Second World War, often abbreviated as WWII or WW2, was a world war that lasted from 1939 to 1945. It involved the vast majority of the world's countries—including all of the great powers—forming two opposin ...
forced his Jewish family to run from the Nazis to an
Azerbaijan Azerbaijan (, ; az, Azərbaycan ), officially the Republic of Azerbaijan, , also sometimes officially called the Azerbaijan Republic is a transcontinental country located at the boundary of Eastern Europe and Western Asia. It is a part of th ...
village. Deprived of the traditional middle and high-school education, he spent four years farming in
Azerbaijan Azerbaijan (, ; az, Azərbaycan ), officially the Republic of Azerbaijan, , also sometimes officially called the Azerbaijan Republic is a transcontinental country located at the boundary of Eastern Europe and Western Asia. It is a part of th ...
kolkhoz A kolkhoz ( rus, колхо́з, a=ru-kolkhoz.ogg, p=kɐlˈxos) was a form of collective farm in the Soviet Union. Kolkhozes existed along with state farms or sovkhoz., a contraction of советское хозяйство, soviet ownership or ...
. However, he never gave up his dream of getting a higher education and becoming an intellectual. After the war, native Romanian, he barely spoke Russian. Yet, in a self-education way, in а two-year term, he managed to complete a four-year high-school program in a Russian school and enrolled at Chișinău State University. In the best meaning of this expression, Isaac is a self-made man. A fascinating autobiographical section in describes "his scientific ascent, starting from a Jewish childhood in Bessarabia and frequently hampered by antisemitic state directives under the
Stalin Joseph Vissarionovich Stalin (born Ioseb Besarionis dze Jughashvili; – 5 March 1953) was a Georgian revolutionary and Soviet political leader who led the Soviet Union from 1924 until his death in 1953. He held power as General Secretar ...
regime." Dedicated to the study of
theoretical physics Theoretical physics is a branch of physics that employs mathematical models and abstractions of physical objects and systems to rationalize, explain and predict natural phenomena. This is in contrast to experimental physics, which uses experim ...
, in 1952, just six years after being an illiterate boy shepherding sheep, Bersuker graduated from this university with a master's degree in physics. He began his scientific research in
atomic spectroscopy Atomic spectroscopy is the study of the electromagnetic radiation absorbed and emitted by atoms. Since unique elements have characteristic (signature) spectra, atomic spectroscopy, specifically the electromagnetic spectrum or mass spectrum, is appl ...
as a post-graduate student at
Leningrad State University Saint Petersburg State University (SPBU; russian: Санкт-Петербургский государственный университет) is a public research university in Saint Petersburg, Russia. Founded in 1724 by a decree of Peter the G ...
, working under Mikhail G. Veselov at the Division of Quantum Mechanics led by its Chair Vladimir A. Fock. Here, in 1957, Bersuker received his doctorate (
Kandidat of science Candidate of Sciences (russian: кандидат наук, translit=kandidat nauk) is the first of two doctoral level scientific degrees in Russia and the Commonwealth of Independent States. It is formally classified as UNESCO's ISCED level 8, "do ...
, Russian: Кандидáт наýк) and in 1964 his
habilitation Habilitation is the highest university degree, or the procedure by which it is achieved, in many European countries. The candidate fulfills a university's set criteria of excellence in research, teaching and further education, usually including a ...
degree (
Doctor of science Doctor of Science ( la, links=no, Scientiae Doctor), usually abbreviated Sc.D., D.Sc., S.D., or D.S., is an academic research degree awarded in a number of countries throughout the world. In some countries, "Doctor of Science" is the degree used f ...
, Russian: Дóктор наýк). From 1964 to 1993, back in Chișinău, Bersuker continued his scientific research at the Institute of Chemistry of the Moldavian branch of the USSR Academy of Sciences. Organizationally, Bersuker's success was the creation in 1964, and the leadership of the Laboratory of Quantum Chemistry also dubbed ‘‘the Chișinău school of the Jahn–Teller effect.’’  Elected as a Corresponding Member of this academy in 1972 and a full Member in 1989, Isaac B. Bersuker moved to the United States In 1993. He became a senior research scientist and professor of the department of chemistry at the
University of Texas at Austin The University of Texas at Austin (UT Austin, UT, or Texas) is a public research university in Austin, Texas. It was founded in 1883 and is the oldest institution in the University of Texas System. With 40,916 undergraduate students, 11,075 ...
. Isaac B. Bersuker served as a doctoral and habilitation supervisor for 31 post-graduate students and post-docs. According to K. Alex Müller, Bersuker was and still is "in full swing at the university, writing books, discussing with great wit, and quick to understand ‒ as I had known him for well over thirty years." In the late 1980s, owing to Bersuker's high motivating role, leadership, and creative ingenuity, Bersuker's school was called "the capital of the Jahn–Teller effect" by some. Bersuker's academic publications have a high impact on the scientific community. According to Google Scholar, since 1993 when he moved to the United States, Bersuker's papers were cited 10428 times, his
h-index The ''h''-index is an author-level metric that measures both the productivity and citation impact of the publications, initially used for an individual scientist or scholar. The ''h''-index correlates with obvious success indicators such as winn ...
is 41, and his
i10-index Author-level metrics are citation metrics that measure the bibliometrics, bibliometric impact of individual authors, researchers, academics, and scholars. Many metrics have been developed that take into account varying numbers of factors (from only ...
is 141.


Research


Atomic spectroscopy

In his Ph.D. thesis, Bersuker developed the theory of core polarization and its effect on optical transitions in
Rydberg atom A Rydberg atom is an excited atom with one or more electrons that have a very high principal quantum number, ''n''. The higher the value of ''n'', the farther the electron is from the nucleus, on average. Rydberg atoms have a number of peculia ...
s. At the time, this was a puzzling problem in
absorption spectroscopy Absorption spectroscopy refers to spectroscopic techniques that measure the absorption of radiation, as a function of frequency or wavelength, due to its interaction with a sample. The sample absorbs energy, i.e., photons, from the radiating fie ...
. The absorption of light by alkali atoms appeared to violate the
electric dipole The electric dipole moment is a measure of the separation of positive and negative electrical charges within a system, that is, a measure of the system's overall polarity. The SI unit for electric dipole moment is the coulomb-meter (C⋅m). The d ...
sum rule. According to Bersuker, the solution to the problem is in the instantaneous polarization of the
atomic core Core electrons are the electrons in an atom that are not valence electrons and do not participate in chemical bonding. The nucleus and the core electrons of an atom form the atomic core. Core electrons are tightly bound to the nucleus. Therefore, un ...
by the incident electromagnetic wave creating an additional
perturbation Perturbation or perturb may refer to: * Perturbation theory, mathematical methods that give approximate solutions to problems that cannot be solved exactly * Perturbation (geology), changes in the nature of alluvial deposits over time * Perturbatio ...
to the excitation of the
valence electron In chemistry and physics, a valence electron is an electron in the outer shell associated with an atom, and that can participate in the formation of a chemical bond if the outer shell is not closed. In a single covalent bond, a shared pair forms ...
. Related to this problem, he worked out the adiabatic separation of motion of the valence and the
atomic core Core electrons are the electrons in an atom that are not valence electrons and do not participate in chemical bonding. The nucleus and the core electrons of an atom form the atomic core. Core electrons are tightly bound to the nucleus. Therefore, un ...
electrons in
electronic structure In quantum chemistry, electronic structure is the state of motion of electrons in an electrostatic field created by stationary nuclei. The term encompasses both the wave functions of the electrons and the energies associated with them. Electro ...
calculations of atoms. First introduced in 1957, still, decades later, Bersuker's ideas of electron polarization by the incident electromagnetic wave and of the atomic core polarization by the valence electron is used and further explored in atomic spectroscopy.


Jahn–Teller and pseudo Jahn–Teller effects

Bersuker's contributions to the JTE and PJTE theory with applications to physical and chemical phenomena are reflected in his several monographs (some of them written and published with the assistance and involvement of other authors) and major reviews on this subject (see the latest in). First published in 1961–1962, his contributions to the theory of the JTE predicted the tunneling splitting of the vibronic energy levels of the systems with the JTE, later confirmed experimentally. The splitting is due to the tunneling transitions between the equivalent wells on the multiminimum adiabatic potential energy surface produced by this effect. In 1976, "The phenomenon of tunneling splitting of energy levels of polyatomic systems in the state of electronic degeneracy" was qualified as a scientific discovery and registered in the State Register of the USSR (Diploma No. 202). In addition, Bersuker is known for revealing the significance of the PJTE and showing that it may take place at any energy gaps between entangled electronic states. Most important, he proved that ''the JTE and PJTE are the only sources of structural instability and spontaneous symmetry breaking'' (SSB) in polyatomic systems. Thus, according to Bersuker, if a polyatomic system has broken symmetry properties, undoubtedly, they are of JTE or PJTE origin. This conclusion elevates the two effects from their assumed earlier rare particular features to general tools for exploring molecular and solid-state properties. The generality of this result was challenged by the existence of some molecular systems with SSB. For example, in the ozone O3 molecule, neither the JTE nor the PJTE is seen explicitly in the high-symmetry configuration. Bersuker eliminated this controversy by revealing the ''hidden'' JTE and PJTE. They take place in the excited states of the system but, being strong enough, penetrate the ground state of the high-symmetry configuration and form an additional, coexisting equilibrium state with lower symmetry. The latter may also have a different spin state leading to an interesting phenomenon of ''spin-crossover'' ''and magnetic-dielectric bistability.'' Involving excited states, Bersuker also showed that the PJTE is instrumental in explaining the origin of chemical activation and sudden polarization in photochemical reactions. Revealed by Bersuker, other applications of the JTE and PJTE are briefly mentioned below.


Solid-state problems: ferroelectricity and multiferroicity

Another fundamental contribution of Isaac B. Bersuker to the early developments of this field was applying the PJTE to explain the origin of
ferroelectricity Ferroelectricity is a characteristic of certain materials that have a spontaneous electric polarization that can be reversed by the application of an external electric field. All ferroelectrics are also piezoelectric and pyroelectric, with the add ...
in
perovskite Perovskite (pronunciation: ) is a calcium titanium oxide mineral composed of calcium titanate (chemical formula ). Its name is also applied to the class of compounds which have the same type of crystal structure as (XIIA2+VIB4+X2−3), known as ...
-type crystals. This first application of the PJTE to solve an important solid-state problem led to developing a whole trend in the studies of local and cooperative properties in crystals. The origin of crystals' temperature-controlled spontaneous
dielectric polarization In electromagnetism, a dielectric (or dielectric medium) is an electrical insulator that can be polarised by an applied electric field. When a dielectric material is placed in an electric field, electric charges do not flow through the mate ...
was the subject of discussion for many decades involving high-rank physicists at the time. However, with the development of the experimental technics, the "displacive theories" encountered increasing controversies that had no explanation. Using perovskite crystals as an example, Bersuker showed (first in 1964, published in 1966) that the PJTE produces a spontaneous symmetry breaking resulting under certain conditions in local dipolar instability. It exists in all the crystal phases, and the spontaneous polarization results from the order-disorder interaction between these PJTE-induced local dipolar distortions. Performed in the local octahedral TiO6 center in the BaTiO3 crystal (taken as an example), where vibronic coupling mixes ground 1''A''1g and close in energy exited 1''T''1u states of opposite parity (but same multiplicity), detailed analysis with calculations proved the PJTE to produce the dipolar distortion. Thus, it shows that Bersuker's PJTE theory of ferroelectricity agrees with the available empirical data and predicts new properties, confirmed experimentally. From the fact that PJTE does not entangle states with different
spin multiplicity Spin is a conserved quantity carried by elementary particles, and thus by composite particles (hadrons) and atomic nuclei. Spin is one of two types of angular momentum in quantum mechanics, the other being ''orbital angular momentum''. The orbita ...
, Bersuker deduced conditions and predicted possible
multiferroics Multiferroics are defined as materials that exhibit more than one of the primary ferroic properties in the same phase: * ferromagnetism – a magnetisation that is switchable by an applied magnetic field * ferroelectricity – an electric polarisa ...
in some cubic perovskites.  According to Bersuker, only the ''d''n cations with the close-energy ground and excited states of opposite parity, but with the same multiplicity, may meet the necessary conditions of ferroelectricity in the presence of unpaired spins.


Novel solid-state property: orientational polarization

Under external unipolar perturbations, polar gases and liquids manifest two kinds of polarization, displacive and orientational. The latter is by orders of magnitude larger than the former. So far, solids were known to undergo only displacive polarization. Bersuker showed that in ABO3 type perovskites, dipolar distortions are due to the PJTE. Similar to the other cases of the JTE and PJTE, the adiabatic potential energy surface of the metallic B center has eight equivalent wells positioned along the eight diagonals of the cube, meaning eight symmetry-equivalent positions of the PJTE-induced dipole moment with small barriers between them. As a result, these dipoles can rotate under external perturbations realizing orientational polarization. Predicted more than a century ago by
P. Debye Peter Joseph William Debye (; ; March 24, 1884 – November 2, 1966) was a Dutch-American physicist and physical chemist, and Nobel laureate in Chemistry. Biography Early life Born Petrus Josephus Wilhelmus Debije in Maastricht, Netherlands, D ...
, solids with intrinsic dipoles behave like polar liquids with orientational polarization. However, enhanced
polarizability Polarizability usually refers to the tendency of matter, when subjected to an electric field, to acquire an electric dipole moment in proportion to that applied field. It is a property of all matter, considering that matter is made up of elementar ...
of such solids was not well understood until Bersuker's works (see also in). As shown by Bersuker, experimentally observed giant flexoelectricity, permittivity, and electrostriction result from PJTE-induced orientational polarization.


Molecular puckering (buckling) and its suppression

Given that the PJTE is the unique source of structural instability, Bersuker applied this idea to planar configurations of some molecules in nondegenerate states. Bersuker was the first to demonstrate that the puckering (or buckling) of planar two-dimensional systems is of PJTE origin. Hence, following Bersuker, their planarity can be driven by external influence targeting the PJTE parameters. As the starting example, he suggested hemoglobin oxygenation. The out-of-plane displacement of the iron atom was shown to be due to the PJTE. At the same time, the coordination of the oxygen atom violates the condition of the PJTE instability, thus restoring the planar configuration. In a more general setup, such manipulations became more critical recently because of the applications of two-dimensional molecular systems in electronics. According to Bersuker, planarity can be operated by targeted redox perturbations, coordination with other atomic groups, and chemical substitutions. A similar modification of a crystal lattice by redox influencing its local JTE centers was also realized.


Other problems

There is quite a list of other
theoretical chemistry Theoretical chemistry is the branch of chemistry which develops theoretical generalizations that are part of the theoretical arsenal of modern chemistry: for example, the concepts of chemical bonding, chemical reaction, valence, the surface o ...
,
chemical physics Chemical physics is a subdiscipline of chemistry and physics that investigates physicochemical phenomena using techniques from atomic and molecular physics and condensed matter physics; it is the branch of physics that studies chemical process ...
, and
quantum chemistry Quantum chemistry, also called molecular quantum mechanics, is a branch of physical chemistry focused on the application of quantum mechanics to chemical systems, particularly towards the quantum-mechanical calculation of electronic contributions ...
fields with a remarkable Bersuker's contribution. In a number of his seminal papers, Bersuker introduced and developed theoretical models of vibronic mechanisms in
redox Redox (reduction–oxidation, , ) is a type of chemical reaction in which the oxidation states of substrate (chemistry), substrate change. Oxidation is the loss of Electron, electrons or an increase in the oxidation state, while reduction ...
properties, electron-conformational effects, chemical reactivity, and
catalysis Catalysis () is the process of increasing the rate of a chemical reaction by adding a substance known as a catalyst (). Catalysts are not consumed in the reaction and remain unchanged after it. If the reaction is rapid and the catalyst recyc ...
. He is known for revealing the role of JTE and PJTE in the properties of mixed-valence compounds. In addition, he discovered the effect of coordination covalent bonding and the JTE in the "plasticity effect". Also, Bersuker worked out a quantum mechanics/molecular mechanics method of
electronic structure In quantum chemistry, electronic structure is the state of motion of electrons in an electrostatic field created by stationary nuclei. The term encompasses both the wave functions of the electrons and the energies associated with them. Electro ...
calculations of large
organometallic Organometallic chemistry is the study of organometallic compounds, chemical compounds containing at least one chemical bond between a carbon atom of an organic molecule and a metal, including alkali, alkaline earth, and transition metals, and so ...
systems when there is charge transfer between the QM and MM parts. The name of Bersuker is associated with the semiempirical approach to relativistic electronic structure calculations and a method of estimating molecular-orbital parameters from Mossbauer spectra. In another series of publications, he created and applied the electron-conformational method to
computer-aided Computer-aided or computer-assisted is an adjectival phrase that hints of the use of a computer as an indispensable tool in a certain field, usually derived from more traditional fields of science and engineering. Instead of the phrase computer-a ...
drug design Drug design, often referred to as rational drug design or simply rational design, is the inventive process of finding new medications based on the knowledge of a biological target. The drug is most commonly an organic small molecule that acti ...
and
toxicology Toxicology is a scientific discipline, overlapping with biology, chemistry, pharmacology, and medicine, that involves the study of the adverse effects of chemical substances on living organisms and the practice of diagnosing and treating expo ...
. Within this methodology, the chemical origin of
odorant An aroma compound, also known as an odorant, aroma, fragrance or flavoring, is a chemical compound that has a smell or odor. For an individual chemical or class of chemical compounds to impart a smell or fragrance, it must be sufficiently vol ...
activity was also revealed, including the source of musk
odor An odor (American English) or odour (English in the Commonwealth of Nations, Commonwealth English; American and British English spelling differences#-our, -or, see spelling differences) is caused by one or more volatilized chemical compounds ...
.


Selected books

Isaac B. Bersuker wrote 15 books, first in 1962, and more than 400 academic papers. His books on the JTE and PJTE, published in 1984, 1989, and 2006, were most influential. According to Google Scholar, cumulatively, these three monographs were cited more than 3000 times. * Bersuker I. B. and Ablov A. V., (1962) ''Chemical Bonds in Complex Compounds'',
n Russian N, or n, is the fourteenth letter in the Latin alphabet, used in the modern English alphabet, the alphabets of other western European languages and others worldwide. Its name in English is ''en'' (pronounced ), plural ''ens''. History ...
AN MoldavSSR, Chișinău, 208 p., ASIN: B072L33R79 * Bersuker I. B. (1971) ''Structure and Properties of Coordination Compounds''
n Russian N, or n, is the fourteenth letter in the Latin alphabet, used in the modern English alphabet, the alphabets of other western European languages and others worldwide. Its name in English is ''en'' (pronounced ), plural ''ens''. History ...
Khimia, Leningrad, ASIN: B0725HWXD4 * Bersuker I. B., (1984) ''The Jahn–Teller Effect and Vibronic Interactions in Modern Chemistry'', Plenum, New York, 320 p., * Bersuker I. B. and Polinger V. Z. (1989), ''Vibronic Interactions in Molecules and Crystals'', Springer-Verlag, Berlin-Heidelberg-New York, ISBN 978-3-642-83481-3 * Bersuker I. B. (2006), ''The Jahn–Teller Effect'', Cambridge University Press, Cambridge (UK), 2006; ISBN 978-0-521-82212-1 * Bersuker I. B. (2010). ''Electronic Structure and Properties of Transition Metal Compounds'': ''Introduction to the theory'' (2nd ed.), Wiley, Hoboken, NJ, 759 p., ISBN 978-0470180235


Awards and honors

* Moldavian SSR State Prize in Science and Technology (1979) * Order of Honor (Moldova) (2004) * The Medal „Scientific Merit”, I class (Moldova) (2021)


Personal life

Isaac B. Bersuker was married in 1951 to Liliya Bersuker (Russian: Ли́лия Бори́совна Берсýкер, 1930–2003), a chemist. He has one son, Gennadi B. Bersuker (born 1953), a theoretical physicist, and two grandsons, Eugene G. Bersuker (born 1979) and Kirill G. Bersuker (born 1985), a molecular biologist.


See also

*
Jahn–Teller effect The Jahn–Teller effect (JT effect or JTE) is an important mechanism of spontaneous symmetry breaking in molecular and solid-state systems which has far-reaching consequences in different fields, and is responsible for a variety of phenomena in sp ...
*
Pseudo Jahn–Teller effect The pseudo Jahn–Teller effect (PJTE), occasionally also known as second-order JTE, is a direct extension of the Jahn–Teller effect (JTE) where spontaneous symmetry breaking in polyatomic systems (molecules and solids) occurs even in nondegene ...
*
Vibronic coupling Vibronic coupling (also called nonadiabatic coupling or derivative coupling) in a molecule involves the interaction between electronic and nuclear vibrational motion. The term "vibronic" originates from the combination of the terms "vibrational" a ...
*
Adiabatic theorem The adiabatic theorem is a concept in quantum mechanics. Its original form, due to Max Born and Vladimir Fock (1928), was stated as follows: :''A physical system remains in its instantaneous eigenstate if a given perturbation is acting on it slo ...
*
Born–Oppenheimer approximation In quantum chemistry and molecular physics, the Born–Oppenheimer (BO) approximation is the best-known mathematical approximation in molecular dynamics. Specifically, it is the assumption that the wave functions of atomic nuclei and electro ...
*
Symmetry breaking In physics, symmetry breaking is a phenomenon in which (infinitesimally) small fluctuations acting on a system crossing a critical point decide the system's fate, by determining which branch of a bifurcation is taken. To an outside observe ...
*
Coordination Complex A coordination complex consists of a central atom or ion, which is usually metallic and is called the ''coordination centre'', and a surrounding array of bound molecules or ions, that are in turn known as ''ligands'' or complexing agents. Many ...
*
Ferroelectricity Ferroelectricity is a characteristic of certain materials that have a spontaneous electric polarization that can be reversed by the application of an external electric field. All ferroelectrics are also piezoelectric and pyroelectric, with the add ...
*
Perovskite Perovskite (pronunciation: ) is a calcium titanium oxide mineral composed of calcium titanate (chemical formula ). Its name is also applied to the class of compounds which have the same type of crystal structure as (XIIA2+VIB4+X2−3), known as ...


References

{{DEFAULTSORT:Bersuker, Isaac 1928 births Living people Scientists from Chișinău Bessarabian Jews Moldova State University alumni Recipients of the Moldavian SSR State Prize