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Yakov Frenkel

Yakov Frenkel is a physics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Yakov Frenkel rather than just read about it. In short: Yakov Il'ich Frenkel (Russian: Яков Ильич Френкель; 10 February 1894 – 23 January 1952) was a Soviet physicist renowned for his works in the field of condensed-matter physics. He is also known as Jacob Frenkel, frequently using the name J.

Yakov Frenkel — main illustration
Yakov Frenkel — illustration

Key takeaways

  • Yakov Frenkel belongs to physics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Yakov Frenkel to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Yakov Frenkel from memory before moving on to harder problems.

Reference excerpt

Yakov Il'ich Frenkel (Russian: Яков Ильич Френкель; 10 February 1894 – 23 January 1952) was a Soviet physicist renowned for his works in the field of condensed-matter physics. He is also known as Jacob Frenkel, frequently using the name J. Frenkel in publications in English.

Early years He was born to a Jewish family in Rostov on Don, in the Don Host Oblast of the Russian Empire on 10 February 1894. His father was involved in revolutionary activities and spent some time in internal exile to Siberia; after the danger of pogroms started looming in 1905, the family spent some time in Switzerland, where Yakov Frenkel began his education. In 1912, while studying in the Karl May Gymnasium in St. Petersburg, he completed his first physics work on the Earth's magnetic field and atmospheric electricity. This work attracted Abram Ioffe's attention and later led to collaboration with him. He considered moving to the USA (which he visited in the summer of 1913, supported by money hard-earned by tutoring) but was nevertheless admitted to St. Petersburg University in the winter semester of 1913, at which point any emigration plans ended. Frenkel graduated from the university in three years and remained there to prepare for a professorship (his oral exam for the master's degree was delayed due to the events of the October revolution). His first scientific paper came to light in 1917.

Early scientific career In the last years of the Great War and until 1921 Frenkel was involved (along with Igor Tamm) in the foundation of the University in Crimea (his family moved to Crimea due to the deteriorating health of his mother). From 1921 till the end of his life, Frenkel worked at the Physico-Technical Institute. Beginning in 1922, Frenkel published a book virtually every year. In 1924, he published 16 papers (of which 5 were basically German translations of his other publications in Russian), three books, and edited multiple translations. He was the author of the first theoretical course in the Soviet Union. For his distinguished scientific service, he was elected a corresponding member of the USSR Academy of Sciences in 1929. He married Sara Isakovna Gordin in 1920. They had two sons, Sergei and Viktor (Victor). He served as a visiting professor at the University of Minnesota in the United States for a short period of time around 1930. Early works of Yakov Frenkel focused on electrodynamics, statistical mechanics and relativity, though he soon switched to the quantum theory. Paul Ehrenfest, whom he met at a conference in Leningrad, encouraged him to go abroad for collaborations which he did in 1925–1926, mainly in Hamburg and Göttingen, and met with Albert Einstein in Berlin. It was during this period when Schrödinger published his groundbeaking papers on wave mechanics; Heisenberg's had appeared shortly before. Frenkel enthusiastically entered the field through discussions (he reportedly discovered what is now called the Klein–Gordon equation simultaneously with Oskar Klein) but his first scientific paper on the matter (considering electrodynamics in metals) was published in 1927. In 1927–1930, he discovered the reason for the existence of domains in ferromagnetics; worked on the theory of resonance broadening and collision broadening of the spectral lines; developed a theory of electric resistance on the boundary of two metals and of a metal and a semiconductor.

Celebrated discoveries In conducting research on the molecular theory of the condensed state (1926), he introduced the notion of the hole in a crystal, three years before Paul Dirac introduced his eponymous sea. The Frenkel defect became firmly established in the physics of solids and liquids. In the 1930s, his research was supplemented with works on the theory of plastic deformation. His theory, now known as the Frenkel–Kontorova model, is important in the study of dislocations. Tatyana Kontorova was then a PhD candidate working with Frenkel. In 1930 to 1931, Frenkel showed that neutral excitation of a crystal by light is possible, with an electron remaining bound to a hole created at a lattice site identified as a quasiparticle, the exciton. Mention should be made of Frenkel's works on the theory of metals, nuclear physics (the liquid drop model of the nucleus, in 1936), and semiconductors. In 1930, his son Viktor Frenkel was born. Viktor became a prominent historian of science, writing a number of biographies of prominent physicists including an enlarged version of Yakov Ilich Frenkel, published in 1996. In 1934, Frenkel outlined the formalism for the multi-configuration self-consistent field method, later rediscovered and developed by Douglas Hartree. He contributed to semiconductor and insulator physics by proposing a theory, which is now commonly known as the Poole–Frenkel effect, in 1938. "Poole" refers to H. H. Poole (Horace Hewitt Poole, 1886–1962), Ireland. Poole reported experimental results on the conduction in insulators and found an empirical relationship between conductivity and electrical field. Frenkel later developed a microscopic model, similar to the Schottky effect, to explain Poole's results more accurately. In this paper published in USA, Frenkel only very briefly mentioned an empirical relationship as Poole's law. Frenkel cited Poole's paper when he wrote a longer article in a Soviet journal. During the 1930s, Frenkel and Ioffe opposed dangerous tendencies in Soviet physics, tying science to the materialist ideology, with remarkable courage. Soviet physics, as a result of these actions, never descended to the depths biology did. Still, he subsequently had to forgo publishing several papers, fearing that might have unfortunate consequences. Yakov Frenkel was involved in the studies of the liquid phase, too, since the mid-1930s (he undertook some research in colloids) and during the World War II, when the institute was evacuated to Kazan. The results of his more than twenty years of study of the theory of liquid state were generalized in the classic monograph "Kinetic theory of liquids".

… excerpt ends here. Continue reading the full article.

Illustrations

Yakov Frenkel illustration

Worked examples

Example 1 — a first encounter with Yakov Frenkel

Start with the simplest possible case. Write down what Yakov Frenkel claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In physics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Yakov Frenkel before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Yakov Frenkel ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Yakov Frenkel

In research
Yakov Frenkel appears in physics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Yakov Frenkel in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Yakov Frenkel is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1894 births, 1952 deaths, 20th-century Russian physicists, so understanding it makes those chapters shorter.
In everyday life
Look for Yakov Frenkel outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Yakov Frenkel in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Yakov Frenkel means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Yakov Frenkel out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Yakov Frenkel in simple terms?

Yakov Il'ich Frenkel (Russian: Яков Ильич Френкель; 10 February 1894 – 23 January 1952) was a Soviet physicist renowned for his works in the field of condensed-matter physics. He is also known as Jacob Frenkel, frequently using the name J.

Why does Yakov Frenkel matter?

Because it connects several physics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Yakov Frenkel?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Yakov Frenkel.

Tags

  • 1894 births
  • 1952 deaths
  • 20th-century Russian physicists
  • Condensed matter physicists
  • Corresponding Members of the USSR Academy of Sciences
  • Jewish Russian physicists
  • Jewish Soviet physicists
  • People from Don Host Oblast
  • Russian materials scientists
  • Scientists from Rostov-on-Don
  • Soviet nuclear physicists

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