Rudolf Peierls
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Sir Rudolf Ernst Peierls, (; ; 5 June 1907 – 19 September 1995) was a German-born British
physicist A physicist is a scientist who specializes in the field of physics, which encompasses the interactions of matter and energy at all length and time scales in the physical universe. Physicists generally are interested in the root or ultimate cau ...
who played a major role in Tube Alloys, Britain's nuclear weapon programme, as well as the subsequent
Manhattan Project The Manhattan Project was a research and development undertaking during World War II that produced the first nuclear weapons. It was led by the United States with the support of the United Kingdom and Canada. From 1942 to 1946, the project w ...
, the combined Allied nuclear bomb programme. His obituary in ''
Physics Today ''Physics Today'' is the membership magazine of the American Institute of Physics. First published in May 1948, it is issued on a monthly schedule, and is provided to the members of ten physics societies, including the American Physical Society ...
'' described him as "a major player in the drama of the eruption of
nuclear physics Nuclear physics is the field of physics that studies atomic nuclei and their constituents and interactions, in addition to the study of other forms of nuclear matter. Nuclear physics should not be confused with atomic physics, which studies t ...
into world affairs". Peierls studied
physics Physics is the natural science that studies matter, its fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force. "Physical science is that department of knowledge which ...
at the
University of Berlin Humboldt-Universität zu Berlin (german: Humboldt-Universität zu Berlin, abbreviated HU Berlin) is a German public research university in the central borough of Mitte in Berlin. It was established by Frederick William III on the initiative ...
, at the University of Munich under
Arnold Sommerfeld Arnold Johannes Wilhelm Sommerfeld, (; 5 December 1868 – 26 April 1951) was a German theoretical physicist who pioneered developments in atomic and quantum physics, and also educated and mentored many students for the new era of theoretic ...
, the
University of Leipzig Leipzig University (german: Universität Leipzig), in Leipzig in Saxony, Germany, is one of the world's oldest universities and the second-oldest university (by consecutive years of existence) in Germany. The university was founded on 2 December ...
under
Werner Heisenberg Werner Karl Heisenberg () (5 December 1901 – 1 February 1976) was a German theoretical physicist and one of the main pioneers of the theory of quantum mechanics. He published his work in 1925 in a Über quantentheoretische Umdeutung kinematis ...
, and
ETH Zurich (colloquially) , former_name = eidgenössische polytechnische Schule , image = ETHZ.JPG , image_size = , established = , type = Public , budget = CHF 1.896 billion (2021) , rector = Günther Dissertori , president = Joël Mesot , a ...
under Wolfgang Pauli. After receiving his
DPhil A Doctor of Philosophy (PhD, Ph.D., or DPhil; Latin: or ') is the most common degree at the highest academic level awarded following a course of study. PhDs are awarded for programs across the whole breadth of academic fields. Because it is ...
from Leipzig in 1929, he became an assistant to Pauli in Zurich. In 1932, he was awarded a
Rockefeller Fellowship The Rockefeller Foundation is an American private foundation and philanthropic medical research and arts funding organization based at 420 Fifth Avenue, New York City. The second-oldest major philanthropic institution in America, after the Carneg ...
, which he used to study in Rome under Enrico Fermi, and then at the Cavendish Laboratory at the
University of Cambridge , mottoeng = Literal: From here, light and sacred draughts. Non literal: From this place, we gain enlightenment and precious knowledge. , established = , other_name = The Chancellor, Masters and Schola ...
under Ralph H. Fowler. Because of his Jewish background, he elected to not return home after Adolf Hitler's rise to power in 1933, but to remain in Britain, where he worked with Hans Bethe at the Victoria University of Manchester, then at the Mond Laboratory at Cambridge. In 1937, Mark Oliphant, the newly appointed Australian professor of physics at the
University of Birmingham , mottoeng = Through efforts to heights , established = 1825 – Birmingham School of Medicine and Surgery1836 – Birmingham Royal School of Medicine and Surgery1843 – Queen's College1875 – Mason Science College1898 – Mason Univers ...
recruited him for a new chair there in applied mathematics. In March 1940, Peierls co-authored the
Frisch–Peierls memorandum The Frisch–Peierls memorandum was the first technical exposition of a practical nuclear weapon. It was written by expatriate German-Jewish physicists Otto Frisch and Rudolf Peierls in March 1940 while they were both working for Mark Oliphant a ...
with
Otto Robert Frisch Otto Robert Frisch FRS (1 October 1904 – 22 September 1979) was an Austrian-born British physicist who worked on nuclear physics. With Lise Meitner he advanced the first theoretical explanation of nuclear fission (coining the term) and first ...
. This short paper was the first to set out that one could construct an
atomic bomb A nuclear weapon is an explosive device that derives its destructive force from nuclear reactions, either fission (fission bomb) or a combination of fission and fusion reactions ( thermonuclear bomb), producing a nuclear explosion. Both bomb ...
from a small amount of fissile
uranium-235 Uranium-235 (235U or U-235) is an isotope of uranium making up about 0.72% of natural uranium. Unlike the predominant isotope uranium-238, it is fissile, i.e., it can sustain a nuclear chain reaction. It is the only fissile isotope that exi ...
. Until then it had been assumed that such a bomb would require many tons of uranium, and consequently was impractical to build and use. The paper was pivotal in igniting the interest of first the British and later the American authorities in nuclear weapons. He was also responsible for the recruitment of his compatriot Klaus Fuchs to work on Tube Alloys, as the British nuclear weapons project was called, which resulted in Peierls falling under suspicion when Fuchs was exposed as a spy for the
Soviet Union The Soviet Union,. officially the Union of Soviet Socialist Republics. (USSR),. was a transcontinental country that spanned much of Eurasia from 1922 to 1991. A flagship communist state, it was nominally a federal union of fifteen nationa ...
in 1950. After the war, Peierls returned to the University of Birmingham, where he worked until 1963, and then was the
Wykeham Professor of Physics The University of Oxford has three statutory professorships named after William of Wykeham, who founded New College. Logic The Wykeham Professorship in Logic was established in 1859, although it was not known as the Wykeham chair until later. ...
at the
University of Oxford , mottoeng = The Lord is my light , established = , endowment = £6.1 billion (including colleges) (2019) , budget = £2.145 billion (2019–20) , chancellor ...
until he retired in 1974. At Birmingham he worked on nuclear forces,
scattering Scattering is a term used in physics to describe a wide range of physical processes where moving particles or radiation of some form, such as light or sound, are forced to deviate from a straight trajectory by localized non-uniformities (including ...
,
quantum field theories In theoretical physics, quantum field theory (QFT) is a theoretical framework that combines classical field theory, special relativity, and quantum mechanics. QFT is used in particle physics to construct physical models of subatomic particles ...
, collective motion in nuclei, transport theory and statistical mechanics, and was a consultant to the
Atomic Energy Research Establishment The Atomic Energy Research Establishment (AERE) was the main centre for atomic energy research and development in the United Kingdom from 1946 to the 1990s. It was created, owned and funded by the British Government. A number of early res ...
at Harwell. He received many awards, including a
knighthood A knight is a person granted an honorary title of knighthood by a head of state (including the Pope) or representative for service to the monarch, the church or the country, especially in a military capacity. Knighthood finds origins in the ...
in 1968, and wrote several books including ''Quantum Theory of Solids'', ''The Laws of Nature'' (1955), ''Surprises in Theoretical Physics'' (1979), ''More Surprises in Theoretical Physics'' (1991) and an autobiography, ''Bird of Passage'' (1985). Concerned with the nuclear weapons he had helped to unleash, he worked on the Bulletin of the Atomic Scientists, was President of the
Atomic Scientists' Association in the UK The British Atomic Scientists Association (ASA or BASA), was founded by Joseph Rotblat in 1946. It was a politically neutral group, composed of eminent physicists and other scientists and was concerned with matters of British public policy regardin ...
, and was involved in the Pugwash movement.


Early life

Rudolf Ernst Peierls was born in the Berlin suburb of
Oberschöneweide Oberschöneweide (, literally ''Upper Schöneweide'') is a German locality (''Ortsteil'') within the Berlin borough (''Bezirk'') of Treptow-Köpenick. It is, with Niederschöneweide (''Lower Schöneweide''), part of the geographic area of Schön ...
, the youngest of three children of Heinrich Peierls an electrical engineer, from a family of Jewish merchants. His father was the managing director of a cable factory of
Allgemeine Elektrizitäts-Gesellschaft Allgemeine Elektricitäts-Gesellschaft AG (AEG; ) was a German producer of electrical equipment founded in Berlin as the ''Deutsche Edison-Gesellschaft für angewandte Elektricität'' in 1883 by Emil Rathenau. During the Second World War, A ...
(AEG), and his mother was his father's first wife, Elisabeth ( Weigert). Rudolf had an older brother, Alfred, and an older sister, Annie. His mother died from Hodgkin's lymphoma in 1921, and his father married Else Hermann, the sister-in-law of the playwright
Ludwig Fulda Ludwig Anton Salomon Fulda (July 7, 1862 – March 7, 1939) was a German playwright and poet, with a strong social commitment. He lived with Moritz Moszkowski's first wife Henriette, née Chaminade, younger sister of pianist and composer Cécile ...
. The family was Jewish, but assimilated, and Peierls and his siblings were baptised as
Lutheran Lutheranism is one of the largest branches of Protestantism, identifying primarily with the theology of Martin Luther, the 16th-century German monk and reformer whose efforts to reform the theology and practice of the Catholic Church launched ...
s. When he came of age, Peierls left the church. Peierls commenced school a year late because he needed glasses, and his parents did not trust him not to lose them or break them. After two years at the local preparatory school, he entered his local '' gymnasium'', the , where he spent the next nine years, passing his '' abitur'' examinations in 1925. He wanted to study engineering, but his parents, who doubted his practical abilities, suggested physics instead. He entered the
University of Berlin Humboldt-Universität zu Berlin (german: Humboldt-Universität zu Berlin, abbreviated HU Berlin) is a German public research university in the central borough of Mitte in Berlin. It was established by Frederick William III on the initiative ...
, where he listened to lectures by Max Planck, Walther Bothe and Walther Nernst. Fellow students included
Kurt Hirsch Kurt August Hirsch (12 January 1906 – 4 November 1986) was a German mathematician who moved to England to escape the Nazi persecution of Jews. His research was in group theory. He also worked to reform mathematics education and became a county ...
and Käte Sperling. The physics laboratory classes were overcrowded, so the first year students were encouraged to take theoretical physics courses instead. Peierls found that he liked the subject. In 1926 Peierls decided to transfer to the University of Munich where
Arnold Sommerfeld Arnold Johannes Wilhelm Sommerfeld, (; 5 December 1868 – 26 April 1951) was a German theoretical physicist who pioneered developments in atomic and quantum physics, and also educated and mentored many students for the new era of theoretic ...
, who was considered to be the greatest teacher of theoretical physics, was. Fellow students there included Hans Bethe,
Hermann Brück Hermann Alexander Brück CBE FRSE (15 August 1905 – 4 March 2000) was a German-born astronomer, who spent the great portion of his career in various positions in Britain and Ireland. Education Hermann Brück was born in Berlin. His fath ...
and
William V. Houston William Vermillion Houston (January 19, 1900 – August 22, 1968) was an American physicist who made contributions to spectroscopy, quantum mechanics, and solid-state physics as well as being a teacher and administrator. He became the secon ...
. At the time, the Bohr-Sommerfeld theory was being overturned by the new
quantum mechanics Quantum mechanics is a fundamental theory in physics that provides a description of the physical properties of nature at the scale of atoms and subatomic particles. It is the foundation of all quantum physics including quantum chemistry, ...
of
Werner Heisenberg Werner Karl Heisenberg () (5 December 1901 – 1 February 1976) was a German theoretical physicist and one of the main pioneers of the theory of quantum mechanics. He published his work in 1925 in a Über quantentheoretische Umdeutung kinematis ...
and
Paul Dirac Paul Adrien Maurice Dirac (; 8 August 1902 – 20 October 1984) was an English theoretical physicist who is regarded as one of the most significant physicists of the 20th century. He was the Lucasian Professor of Mathematics at the Univer ...
. In 1928, Sommerfeld set off on a world tour. On his advice, Peierls moved to the
University of Leipzig Leipzig University (german: Universität Leipzig), in Leipzig in Saxony, Germany, is one of the world's oldest universities and the second-oldest university (by consecutive years of existence) in Germany. The university was founded on 2 December ...
, where Heisenberg had been appointed to a chair in 1927. Heisenberg set Peierls a research project on ferromagnetism. It was known that this was caused by the spin of the
electron The electron ( or ) is a subatomic particle with a negative one elementary electric charge. Electrons belong to the first generation of the lepton particle family, and are generally thought to be elementary particles because they have n ...
s in the metal aligning; but the reason for this was unknown. Heisenberg suspected that it was caused by a quantum mechanical effect, caused by the
Pauli exclusion principle In quantum mechanics, the Pauli exclusion principle states that two or more identical particles with half-integer spins (i.e. fermions) cannot occupy the same quantum state within a quantum system simultaneously. This principle was formula ...
. Peierls was unable to develop the theory, but work on Hall effect was more productive. The anomalous Hall effect could not be explained with the classical theory of metals, and Heisenberg sensed an opportunity to demonstrate that quantum mechanics could explain it. Peierls was able to do so, resulting in his first published paper. Heisenberg left in 1929 to lecture in America, China, Japan and India, and on his recommendation Peierls moved on to
ETH Zurich (colloquially) , former_name = eidgenössische polytechnische Schule , image = ETHZ.JPG , image_size = , established = , type = Public , budget = CHF 1.896 billion (2021) , rector = Günther Dissertori , president = Joël Mesot , a ...
, where he studied under Wolfgang Pauli. Pauli set him a problem of investigating the vibration of atoms in a crystal lattice. Peierls explored—and named—the phenomenon of umklapp scattering. He submitted this work as his
DPhil A Doctor of Philosophy (PhD, Ph.D., or DPhil; Latin: or ') is the most common degree at the highest academic level awarded following a course of study. PhDs are awarded for programs across the whole breadth of academic fields. Because it is ...
thesis, ''Zur kinetischen Theorie der Wärmeleitung in Kristallen'' (On the Kinetic Theory of Heat Conduction in Crystals), which was accepted by the University of Leipzig in 1929. His theory made specific predictions of the behaviour of metals at very low temperatures, but another twenty years would pass before the techniques were developed to confirm them experimentally.


Early career

Peierls accepted an offer from Pauli to become his assistant in place of Felix Bloch. Lev Landau was there at this time on a scholarship from the government of the
Soviet Union The Soviet Union,. officially the Union of Soviet Socialist Republics. (USSR),. was a transcontinental country that spanned much of Eurasia from 1922 to 1991. A flagship communist state, it was nominally a federal union of fifteen nationa ...
, and Peierls and Landau became friends. They collaborated on deriving a series of wave equations similar to the
Schrödinger equation The Schrödinger equation is a linear partial differential equation that governs the wave function of a quantum-mechanical system. It is a key result in quantum mechanics, and its discovery was a significant landmark in the development of th ...
for
photon A photon () is an elementary particle that is a quantum of the electromagnetic field, including electromagnetic radiation such as light and radio waves, and the force carrier for the electromagnetic force. Photons are massless, so they alwa ...
s. Unfortunately, their equations, while complicated, were nonsensical. In 1930, Peierls travelled to the Netherlands to meet Hans Kramers, and to
Copenhagen Copenhagen ( or .; da, København ) is the capital and most populous city of Denmark, with a proper population of around 815.000 in the last quarter of 2022; and some 1.370,000 in the urban area; and the wider Copenhagen metropolitan a ...
to meet Niels Bohr. In August 1930 Pauli and Peierls attended a physics congress in Odessa and met a young physics graduate, Eugenia (Genia) Nikolaievna Kannegiesser, who, like Landau, came from
Leningrad Saint Petersburg ( rus, links=no, Санкт-Петербург, a=Ru-Sankt Peterburg Leningrad Petrograd Piter.ogg, r=Sankt-Peterburg, p=ˈsankt pʲɪtʲɪrˈburk), formerly known as Petrograd (1914–1924) and later Leningrad (1924–1991), i ...
. Since he did not speak Russian and she did not speak German, they conversed in English. During a subsequent visit by Peierls to lecture in Leningrad they were married on 15 March 1931. However, she had to wait for a passport and exit visa. They finally left for Zürich that summer. They had four children: Gaby Ellen (b.1933), Ronald Frank (b.1935), Catherine (Kitty; b.1948), and Joanna (b.1949). Peierls assisted Egon Orowan in understanding the
force In physics, a force is an influence that can change the motion of an object. A force can cause an object with mass to change its velocity (e.g. moving from a state of rest), i.e., to accelerate. Force can also be described intuitively as a ...
required to move a
dislocation In materials science, a dislocation or Taylor's dislocation is a linear crystallographic defect or irregularity within a crystal structure that contains an abrupt change in the arrangement of atoms. The movement of dislocations allow atoms to s ...
which would be expanded on by Frank Nabarro and called the
Peierls–Nabarro force Peierls stress (also known as the lattice friction stress) is the force (first described by Rudolf Peierls and modified by Frank Nabarro) needed to move a dislocation within a plane of atoms in the unit cell. The magnitude varies periodically as th ...
. In 1929, he studied solid-state physics in Zurich under the tutelage of Heisenberg and Pauli. His early work on quantum physics led to the theory of positive carriers to explain the thermal and
electrical conductivity Electrical resistivity (also called specific electrical resistance or volume resistivity) is a fundamental property of a material that measures how strongly it resists electric current. A low resistivity indicates a material that readily allows ...
behaviours of
semiconductor A semiconductor is a material which has an electrical conductivity value falling between that of a conductor, such as copper, and an insulator, such as glass. Its resistivity falls as its temperature rises; metals behave in the opposite way ...
s. He was a pioneer of the concept of "holes" in semiconductors. He established "zones" before Léon Brillouin, despite Brillouin's name being currently attached to the idea, and applied it to phonons. Doing this, he discovered the Boltzmann equations for phonons and the umklapp process. He submitted a paper on the subject for his '' habilitation'', acquiring the right to teach at German universities. ''
Physics Today ''Physics Today'' is the membership magazine of the American Institute of Physics. First published in May 1948, it is issued on a monthly schedule, and is provided to the members of ten physics societies, including the American Physical Society ...
'' noted that "His many papers on electrons in metals have now passed so deeply into the literature that it is hard to identify his contribution to conductivity in
magnetic field A magnetic field is a vector field that describes the magnetic influence on moving electric charges, electric currents, and magnetic materials. A moving charge in a magnetic field experiences a force perpendicular to its own velocity and to ...
s and to the concept of a hole in the
theory of electrons in solids In solid-state physics, the electronic band structure (or simply band structure) of a solid describes the range of energy levels that electrons may have within it, as well as the ranges of energy that they may not have (called ''band gaps'' or '' ...
".


Academic in exile

In 1932, Peierls was awarded a
Rockefeller Fellowship The Rockefeller Foundation is an American private foundation and philanthropic medical research and arts funding organization based at 420 Fifth Avenue, New York City. The second-oldest major philanthropic institution in America, after the Carneg ...
to study abroad, which he used to study in
Rome , established_title = Founded , established_date = 753 BC , founder = King Romulus ( legendary) , image_map = Map of comune of Rome (metropolitan city of Capital Rome, region Lazio, Italy).svg , map_caption ...
under Enrico Fermi, and then at the Cavendish Laboratory at the
University of Cambridge , mottoeng = Literal: From here, light and sacred draughts. Non literal: From this place, we gain enlightenment and precious knowledge. , established = , other_name = The Chancellor, Masters and Schola ...
in England under Ralph H. Fowler. In Rome, Peierls completed two papers on
electronic band structure In solid-state physics, the electronic band structure (or simply band structure) of a solid describes the range of energy levels that electrons may have within it, as well as the ranges of energy that they may not have (called '' band gaps'' or ...
, in which he introduced the Peierls substitution, and derived a general expression for diamagnetism in metals at low temperatures. This provided an explanation of the hitherto mysterious properties of bismuth, in which diamagnetic properties were more pronounced than in other metals. Due to Adolf Hitler's rise to power in Germany, he elected to not return home in 1933, but to remain in Britain. He declined an offer from
Otto Stern :''Otto Stern was also the pen name of German women's rights activist Louise Otto-Peters (1819–1895)''. Otto Stern (; 17 February 1888 – 17 August 1969) was a German-American physicist and Nobel laureate in physics. He was the second most ...
of a position at the
University of Hamburg The University of Hamburg (german: link=no, Universität Hamburg, also referred to as UHH) is a public research university in Hamburg, Germany. It was founded on 28 March 1919 by combining the previous General Lecture System ('' Allgemeines Vo ...
. Granted leave to remain in Britain, he worked at the Victoria University of Manchester with funding from the Academic Assistance Council, which had been set up to help academic refugees from Germany and other
fascist Fascism is a far-right, authoritarian, ultra-nationalist political ideology and movement,: "extreme militaristic nationalism, contempt for electoral democracy and political and cultural liberalism, a belief in natural social hierarchy and the ...
countries. Most of his immediate family also left Germany; his brother and his family settling in Britain, and his sister and her family, along with his father and stepmother, moved to the United States, where his uncle Siegfried lived. Peierls collaborated with Bethe on photodisintegration and the statistical mechanics of
alloys An alloy is a mixture of chemical elements of which at least one is a metal. Unlike chemical compounds with metallic bases, an alloy will retain all the properties of a metal in the resulting material, such as electrical conductivity, ductility, ...
when challenged by James Chadwick. Their results still serve as the basis for mean-field theories of structural phase changes in complete alloys. Although most of his work continued to be about the electron theory of metals, he also looked at Dirac's
hole theory The Dirac sea is a theoretical model of the vacuum as an infinite sea of particles with negative energy. It was first postulated by the British physicist Paul Dirac in 1930 to explain the anomalous negative-energy quantum states predicted by t ...
, and co-wrote a paper with Bethe on the neutrino. The University of Manchester awarded him a
D.Sc. 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 ...
degree. Moving back to Cambridge, he worked with David Shoenberg at the Mond Laboratory on
superconductivity Superconductivity is a set of physical properties observed in certain materials where electrical resistance vanishes and magnetic flux fields are expelled from the material. Any material exhibiting these properties is a superconductor. Unlike ...
and liquid helium. To allow him to lecture, in accordance with its rules, St John's College, Cambridge, awarded him an '' ex officio'' M.A. degree. In 1936, Mark Oliphant was appointed the professor of physics at the
University of Birmingham , mottoeng = Through efforts to heights , established = 1825 – Birmingham School of Medicine and Surgery1836 – Birmingham Royal School of Medicine and Surgery1843 – Queen's College1875 – Mason Science College1898 – Mason Univers ...
, and he approached Peierls about a new chair in applied mathematics that he was creating there. (Applied mathematics being what would today be called theoretical physics.) Peierls got the job despite competition from Harrie Massey and . The appointment at last gave Peierls a secure, permanent position. His students included Fred Hoyle and
P. L. Kapur P. is an abbreviation or acronym that may refer to: * Page (paper), where the abbreviation comes from Latin ''pagina'' * Paris Herbarium, at the '' Muséum national d'histoire naturelle'' * ''Pani'' (Polish), translating as Mrs. * The ''Pacific Re ...
, a student from India. With Kapur he derived the dispersion formula for
nuclear reaction In nuclear physics and nuclear chemistry, a nuclear reaction is a process in which two nuclei, or a nucleus and an external subatomic particle, collide to produce one or more new nuclides. Thus, a nuclear reaction must cause a transformatio ...
s originally given in
perturbation theory In mathematics and applied mathematics, perturbation theory comprises methods for finding an approximate solution to a problem, by starting from the exact solution of a related, simpler problem. A critical feature of the technique is a middle ...
by Gregory Breit and Eugene Wigner, but now included generalising conditions. This is now known as the Kapur–Peierls derivation. It is still used, but in 1947 Wigner and
Leonard Eisenbud Leonard Eisenbud (August 3, 1913– November 30, 2004) was an American theoretical physicist. Eisenbud earned his bachelor's degree at Union College in Schenectady, New York in 1935. He spent the year 1940/1941 at the Institute for Advanced S ...
developed a more widely used alternative method. In 1938, Peierls paid visits to Copenhagen, where he collaborated with Bohr and
George Placzek George Placzek (; September 26, 1905 – October 9, 1955) was a Moravian physicist. Biography Placzek was born into a wealthy Jewish family in Brünn, Moravia (now Brno, Czech Republic), the grandson of Chief Rabbi Baruch Placzek.PDF He studi ...
on a paper on what is now known as the
Bohr–Peierls–Placzek relation In physics, the optical theorem is a general law of wave scattering theory, which relates the forward scattering amplitude to the total cross section of the scatterer. It is usually written in the form :\sigma_\mathrm=\frac~\mathrm\,f(0), where ...
. The
Second World War 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 opposi ...
broke out before it could be published; but drafts were circulated for comment, and it became one of the most cited unpublished papers of all time.


Second World War


Frisch–Peierls memorandum

After the outbreak of the Second World War in September 1939, Peierls started working on
nuclear weapons A nuclear weapon is an explosive device that derives its destructive force from nuclear reactions, either fission (fission bomb) or a combination of fission and fusion reactions ( thermonuclear bomb), producing a nuclear explosion. Both bom ...
research with
Otto Robert Frisch Otto Robert Frisch FRS (1 October 1904 – 22 September 1979) was an Austrian-born British physicist who worked on nuclear physics. With Lise Meitner he advanced the first theoretical explanation of nuclear fission (coining the term) and first ...
, a fellow refugee from Germany. Ironically, they were excluded from the work on
radar Radar is a detection system that uses radio waves to determine the distance (''ranging''), angle, and radial velocity of objects relative to the site. It can be used to detect aircraft, Marine radar, ships, spacecraft, guided missiles, motor v ...
at the University of Birmingham because it was considered too secret for scientists who were enemy aliens. Peierls was
naturalised Naturalization (or naturalisation) is the legal act or process by which a non-citizen of a country may acquire citizenship or nationality of that country. It may be done automatically by a statute, i.e., without any effort on the part of the in ...
as a
British subject The term "British subject" has several different meanings depending on the time period. Before 1949, it referred to almost all subjects of the British Empire (including the United Kingdom, Dominions, and colonies, but excluding protectorates ...
on 27 March 1940. He was eager to participate in the fight against fascism and militarism, but the only organisation that would accept him was the Auxiliary Fire Service. He accepted an offer from the
University of Toronto The University of Toronto (UToronto or U of T) is a public research university in Toronto, Ontario, Canada, located on the grounds that surround Queen's Park. It was founded by royal charter in 1827 as King's College, the first institution ...
to send his two children to live with a family in Canada. In February and March 1940, Peierls and Frisch co-authored the
Frisch–Peierls memorandum The Frisch–Peierls memorandum was the first technical exposition of a practical nuclear weapon. It was written by expatriate German-Jewish physicists Otto Frisch and Rudolf Peierls in March 1940 while they were both working for Mark Oliphant a ...
, which Peierls typed. This short paper was the first to establish that an
atomic bomb A nuclear weapon is an explosive device that derives its destructive force from nuclear reactions, either fission (fission bomb) or a combination of fission and fusion reactions ( thermonuclear bomb), producing a nuclear explosion. Both bomb ...
could be created from a small amount of fissile
uranium-235 Uranium-235 (235U or U-235) is an isotope of uranium making up about 0.72% of natural uranium. Unlike the predominant isotope uranium-238, it is fissile, i.e., it can sustain a nuclear chain reaction. It is the only fissile isotope that exi ...
. Based on the information at hand, they calculated that less than 1 kg would be required. The true figure for the
critical mass In nuclear engineering, a critical mass is the smallest amount of fissile material needed for a sustained nuclear chain reaction. The critical mass of a fissionable material depends upon its nuclear properties (specifically, its nuclear fi ...
is about four times as large; but until then it had been assumed that such a bomb would require many tons of uranium, and consequently was impractical to build and use. They went on to estimate the size of the explosion, and its physical, military and political effects. The Frisch–Peierls memorandum was pivotal in igniting the interest of first the British and later the American authorities in atomic weapons. In 1941 its findings made their way to the United States through the report of the
MAUD Committee The MAUD Committee was a British scientific working group formed during the Second World War. It was established to perform the research required to determine if an atomic bomb was feasible. The name MAUD came from a strange line in a telegram fro ...
, an important trigger in the establishment of the
Manhattan Project The Manhattan Project was a research and development undertaking during World War II that produced the first nuclear weapons. It was led by the United States with the support of the United Kingdom and Canada. From 1942 to 1946, the project w ...
and the subsequent development of the atomic bomb. With the Frisch-Peierls memorandum and the MAUD Committee report, the British and American scientists were able to begin thinking about how to create a bomb, not whether it was possible. As enemy aliens, Frisch and Peierls were initially excluded from the MAUD Committee, but the absurdity of this was soon recognised, and they were made members of its Technical Subcommittee. This did not mean that they were cleared for radar work. When Oliphant made the services of his secretary available for typing up the Peierl's and Frisch's papers for the MAUD Committee in September 1940, they were not allowed to enter the Nuffield Building where she worked, so Peierls submitted them for typing by dictaphone on wax cylinders. Frisch and Peierls thought at first that uranium enrichment was best achieved through thermal diffusion, but as the difficulties with this approach became more apparent they switched to gaseous diffusion, bringing in a fellow refugee from Germany, Franz Simon, as an expert on the subject. Peierls also recruited yet another refugee from Germany, Klaus Fuchs, as his assistant in May 1941.


Manhattan Project

As a result of the MAUD Committee's findings, a new directorate known as Tube Alloys was created to coordinate the nuclear weapons development effort. Sir John Anderson, the Lord President of the Council, became the minister responsible, and Wallace Akers from
Imperial Chemical Industries Imperial Chemical Industries (ICI) was a British chemical company. It was, for much of its history, the largest manufacturer in Britain. It was formed by the merger of four leading British chemical companies in 1926. Its headquarters were at ...
(ICI) was appointed the director of Tube Alloys. Peierls, Chadwick and Simon were appointed to its Technical Committee, which was chaired by Akers. Its first meeting, in November 1941, was attended by two American visitors,
Harold Urey Harold Clayton Urey ( ; April 29, 1893 – January 5, 1981) was an American physical chemist whose pioneering work on isotopes earned him the Nobel Prize in Chemistry in 1934 for the discovery of deuterium. He played a significant role in th ...
and
George B. Pegram George Braxton Pegram (October 24, 1876 – August 12, 1958) was an American physicist who played a key role in the technical administration of the Manhattan Project. He graduated from Trinity College (now Duke University) in 1895, and taught hig ...
. Later that year, Peierls flew to the United States, where he visited Urey and Fermi in New York,
Arthur H. Compton Arthur Holly Compton (September 10, 1892 – March 15, 1962) was an American physicist who won the Nobel Prize in Physics in 1927 for his 1923 discovery of the Compton effect, which demonstrated the particle nature of electromagnetic radia ...
in Chicago, Robert Oppenheimer in Berkeley, and Jesse Beams in Charlottesville, Virginia. When
George Kistiakowsky George may refer to: People * George (given name) * George (surname) * George (singer), American-Canadian singer George Nozuka, known by the mononym George * George Washington, First President of the United States * George W. Bush, 43rd President ...
argued that a nuclear weapon would do little damage as most of the energy would be expended heating the air, Peierls, Fuchs, Geoffrey Taylor and J. G. Kynch worked out the
hydrodynamics In physics and engineering, fluid dynamics is a subdiscipline of fluid mechanics that describes the flow of fluids— liquids and gases. It has several subdisciplines, including ''aerodynamics'' (the study of air and other gases in motion) a ...
to refute this. The signing of the Quebec Agreement on 19 August 1943 merged Tube Alloys with the Manhattan Project. Akers had already cabled London with instructions that Chadwick, Peierls, Oliphant and Simon should leave immediately for North America to join the
British Mission to the Manhattan Project Britain contributed to the Manhattan Project by helping initiate the effort to build the first atomic bombs in the United States during World War II, and helped carry it through to completion in August 1945 by supplying crucial expertise. Fol ...
, and they arrived the day the agreement was signed. Simon and Peierls were attached to the Kellex Corporation, which was engaged in the
K-25 Project K-25 was the codename given by the Manhattan Project The Manhattan Project was a research and development undertaking during World War II that produced the first nuclear weapons. It was led by the United States with the support of th ...
, designing and building the American gaseous diffusion plant. While Kellex was located in the
Woolworth Building The Woolworth Building is an early American skyscraper designed by architect Cass Gilbert located at 233 Broadway in the Tribeca neighborhood of Manhattan in New York City. It was the tallest building in the world from 1913 to 1930, with a ...
, Peierls, Simon and Nicholas Kurti had their offices in the British supply mission on Wall Street. They were joined there by
Tony Skyrme Tony Hilton Royle Skyrme (; 5 December 1922, Lewisham – 25 June 1987) was a British physicist. He proposed modelling the effective interaction between nucleons in nuclei by a zero-range potential. This idea is still widely used today in ...
and
Frank Kearton Christopher Frank Kearton, Baron Kearton, , (17 February 1911 – 2 July 1992), usually known as Frank Kearton, was a British life peer in the House of Lords. He was also a scientist and industrialist and former Chancellor of the University o ...
, who arrived in March 1944. Kurti returned to England in April 1944 and Kearton in September. Peierls moved on to the Los Alamos Laboratory in February 1944; Skyrme followed in July, and Fuchs in August. At Los Alamos, the British Mission was fully integrated into the laboratory, and British scientists worked in most of its divisions, being excluded only from
plutonium Plutonium is a radioactive chemical element with the symbol Pu and atomic number 94. It is an actinide metal of silvery-gray appearance that tarnishes when exposed to air, and forms a dull coating when oxidized. The element normally exh ...
chemistry and metallurgy. When Oppenheimer appointed Bethe as the head of the laboratory's prestigious Theoretical (T) Division, he offended Edward Teller, who was given his own group, tasked with investigating Teller's "Super" bomb. Oppenheimer then wrote to the director of the Manhattan Project,
Brigadier General Brigadier general or Brigade general is a military rank used in many countries. It is the lowest ranking general officer in some countries. The rank is usually above a colonel, and below a major general or divisional general. When appointe ...
Leslie R. Groves, Jr Lieutenant General Leslie Richard Groves Jr. (17 August 1896 – 13 July 1970) was a United States Army Corps of Engineers officer who oversaw the construction of the Pentagon and directed the Manhattan Project, a top secret research proj ...
, requesting that Peierls be sent to take Teller's place in T Division. Peierls arrived from New York on 8 February 1944, and subsequently succeeded Chadwick as head of the British Mission at Los Alamos. Peierls also became leader of T-1 (Implosion) Group, and so was responsible for the design of the explosive lenses used in the implosion-type nuclear weapon to focus an explosion onto a spherical shape. He sent regular reports to Chadwick, the head of the British Mission to the Manhattan Project, in Washington, DC. When Groves found out, he asked Peierls to send him reports too. Peierls was one of those present at the Trinity nuclear test on 16 July 1945. He returned to England in January 1946. For his services to the nuclear weapons project, he was appointed a
Commander of the Order of the British Empire The Most Excellent Order of the British Empire is a British order of chivalry, rewarding contributions to the arts and sciences, work with charitable and welfare organisations, and public service outside the civil service. It was established ...
in the
1946 New Year Honours The 1946 New Year Honours were appointments by many of the Commonwealth Realms of King George VI to various orders and honours to reward and highlight good works by citizens of those countries, and to celebrate the passing of 1945 and the beginnin ...
, and was awarded the US Medal of Freedom with Silver Palm in 1946.


Espionage

Peierls was responsible for the recruitment of Fuchs to the British project, an action which was to result in Peierls falling under suspicion when Fuchs was exposed as a Soviet spy in 1950. In 1999, ''
The Spectator ''The Spectator'' is a weekly British magazine on politics, culture, and current affairs. It was first published in July 1828, making it the oldest surviving weekly magazine in the world. It is owned by Frederick Barclay, who also owns ''Th ...
'' garnered outrage from Peierls's family when it published an article by journalist Nicholas Farrell that alleged that Peierls was a spy for the Soviet Union. The article was based on information supplied by intelligence historian Nigel West, who identified Peierls as the spy codenamed "Fogel" and later "Pers" in the Venona intercepts, and his wife Genia as the spy codenamed "Tina". However, the association of Tina with Genia did not fit with what was known about Tina, and she was conclusively revealed to be Melita Norwood in 1999. Nor did Peierls fit Pers, as the latter worked at the
Clinton Engineer Works The Clinton Engineer Works (CEW) was the production installation of the Manhattan Project that during World War II produced the enriched uranium used in the 1945 bombing of Hiroshima, as well as the first examples of reactor-produced plu ...
, whereas Peierls did not. There were good reasons for the postwar intelligence agencies to suspect Peierls. He not only had recruited Fuchs, and served as his "sponsor" on recruitment and security matters, but had pressed the authorities for Fuchs to be given a full security clearance without which he could not have assisted Peierls in his work. Fuchs lived with the Peierls family for a time. Peierls had a Russian wife, as did his brother, and he maintained close contact with colleagues in the Soviet Union before and after the Second World War. While not a
communist Communism (from Latin la, communis, lit=common, universal, label=none) is a far-left sociopolitical, philosophical, and economic ideology and current within the socialist movement whose goal is the establishment of a communist society, ...
like Fuchs, Peierls was known to have left-wing political views, and had colleagues with similar views. He was denied a visa to visit the United States to attend a Nuclear Physics Conference in
Chicago (''City in a Garden''); I Will , image_map = , map_caption = Interactive Map of Chicago , coordinates = , coordinates_footnotes = , subdivision_type = List of sovereign states, Count ...
in 1951. A similar request the following year was granted, but in 1957 the Americans expressed concerns about him, indicating that they were unwilling to share information with the
Atomic Energy Research Establishment The Atomic Energy Research Establishment (AERE) was the main centre for atomic energy research and development in the United Kingdom from 1946 to the 1990s. It was created, owned and funded by the British Government. A number of early res ...
at Harwell while he remained as a consultant.


Post-war

150 px, Rudolf Peierls. Book Quantum theory of solids. 1955 year. Physicists were in demand after the war, and Peierls received offers from several universities. He seriously considered an offer of a position at Cambridge from William Lawrence Bragg, but decided to return to Birmingham. He worked on nuclear forces,
scattering Scattering is a term used in physics to describe a wide range of physical processes where moving particles or radiation of some form, such as light or sound, are forced to deviate from a straight trajectory by localized non-uniformities (including ...
,
quantum field theories In theoretical physics, quantum field theory (QFT) is a theoretical framework that combines classical field theory, special relativity, and quantum mechanics. QFT is used in particle physics to construct physical models of subatomic particles ...
, collective motion in nuclei, transport theory, and statistical mechanics. Peierls had largely left solid state physics behind when, in 1953, he began collecting his lecture notes on the subject into a book. Reconsidering the way that the atoms in metal crystals are arranged, he noted an instability. This became known as the
Peierls transition A Peierls transition or Peierls distortion is a distortion of the periodic lattice of a one-dimensional crystal. Atomic positions oscillate, so that the perfect order of the 1-D crystal is broken. Peierls’ theorem Peierls' theorem states that ...
. Peierls built up the physics department at Birmingham by attracting high quality researchers. These included
Gerald E. Brown Gerald Edward Brown (born July 22, 1926 in Brookings, South Dakota; † May 31, 2013 in New York City) was an American theoretical physicist who worked on nuclear physics and astrophysics. Since 1968 he had been a professor at the Stony Brook Uni ...
, Max Krook,
Tony Skyrme Tony Hilton Royle Skyrme (; 5 December 1922, Lewisham – 25 June 1987) was a British physicist. He proposed modelling the effective interaction between nucleons in nuclei by a zero-range potential. This idea is still widely used today in ...
,
Dick Dalitz Richard Henry Dalitz, FRS (28 February 1925 – 13 January 2006) was an Australian physicist known for his work in particle physics. Education and early life Born in the town of Dimboola, Victoria, Dalitz studied physics and mathematics at ...
, Freeman Dyson,
Luigi Arialdo Radicati di Brozolo Luigi Arialdo Radicati di Bròzolo ( Milano, 12 October 1919 – Pisa, 23 August 2019) was an Italian theoretical physicist Life and career Graduated in Physics at University of Turin in 1943 under Enrico Persico, he started his academ ...
,
Stuart Butler Stuart M. Butler (born 1947) is a Senior Fellow in Economic Studies at the Brookings Institution. Until 2014, he was Director of the Center for Policy Innovation at The Heritage Foundation, a conservative think-tank in Washington, D.C. He is a h ...
, Walter Marshal, Stanley Mandelstam and Elliott H. Lieb. An undergraduate school of mathematical physics was created. Peierls delivered the lectures on quantum mechanics, a subject that had not been taught at Birmingham before the war. In 1946 Peierls became a consultant to the
Atomic Energy Research Establishment The Atomic Energy Research Establishment (AERE) was the main centre for atomic energy research and development in the United Kingdom from 1946 to the 1990s. It was created, owned and funded by the British Government. A number of early res ...
at Harwell. After Fuchs was dismissed from his position there as head of the Theoretical Physics Division in 1950, Maurice Pryce acted in the position in a part-time capacity, but when he went to America for a year on sabbatical, Peierls took his place. The position was finally filled permanently by Brian Flowers. Peierls resigned from Harwell in 1957 due to what he saw as a lack of openness in security vetting at the request of the Americans, which he felt indicated a lack of trust in him on the part of senior staff; but he was invited to rejoin in 1960, and did so in 1963, remaining as a consultant for another 30 years. Peierls became the
Wykeham Professor of Physics The University of Oxford has three statutory professorships named after William of Wykeham, who founded New College. Logic The Wykeham Professorship in Logic was established in 1859, although it was not known as the Wykeham chair until later. ...
at the
University of Oxford , mottoeng = The Lord is my light , established = , endowment = £6.1 billion (including colleges) (2019) , budget = £2.145 billion (2019–20) , chancellor ...
in 1963. He remained there until he retired in 1974. He wrote several books including ''Quantum Theory of Solids'' (1955), ''The Laws of Nature'' (1955), ''Surprises in Theoretical Physics'' (1979), ''More Surprises in Theoretical Physics'' (1991) and an autobiography, ''Bird of Passage'' (1985). Concerned with the nuclear weapons he had helped to unleash, he worked on the Bulletin of the Atomic Scientists, was President of the
Atomic Scientists' Association in the UK The British Atomic Scientists Association (ASA or BASA), was founded by Joseph Rotblat in 1946. It was a politically neutral group, composed of eminent physicists and other scientists and was concerned with matters of British public policy regardin ...
, and was involved in the Pugwash movement, and FREEZE, now known as Saferworld. Genia died on 26 October 1986. Peierls remained active, although his eyesight deteriorated. In 1994, he suffered a combination of health problems, including heart, kidney and lung problems, and relocated himself to Oakenholt, a nursing home near Farmoor,
Oxfordshire Oxfordshire is a ceremonial and non-metropolitan county in the north west of South East England. It is a mainly rural county, with its largest settlement being the city of Oxford. The county is a centre of research and development, primaril ...
. He liked to read scientific papers in enlarged script on a computer screen. During 1995, his health continued to decline, and he required regular
kidney dialysis Kidney dialysis (from Greek , , 'dissolution'; from , , 'through', and , , 'loosening or splitting') is the process of removing excess water, solutes, and toxins from the blood in people whose kidneys can no longer perform these functions natur ...
sessions at Churchill Hospital, where he died on 19 September 1995.


Honours

Peierls was knighted in the
1968 Birthday Honours The 1968 Queen's Birthday Honours were appointments to orders and decorations of the Commonwealth realms to reward and highlight citizens' good works, on the occasion of the official birthday of Queen Elizabeth II. They were announced in supplemen ...
. He was awarded the
Rutherford Memorial Medal The Rutherford Memorial Medal is an award for research in the fields of physics and chemistry by the Royal Society of Canada. It was dedicated to the memory of Ernest Rutherford. It is awarded once for physics and once for chemistry each year, "f ...
in 1952, the Royal Medal in 1959, the Lorentz Medal in 1962, the Max Planck Medal in 1963, the
Guthrie Medal and Prize The Michael Faraday Medal and Prize is a gold medal awarded annually by the Institute of Physics in experimental physics. The award is made "for outstanding and sustained contributions to experimental physics." The medal is accompanied by a p ...
in 1968, the Matteucci Medal in 1982, and the Enrico Fermi Award from the United States Government for exceptional contribution to the science of atomic energy in 1980. In 1986, he was awarded the
Copley Medal The Copley Medal is an award given by the Royal Society, for "outstanding achievements in research in any branch of science". It alternates between the physical sciences or mathematics and the biological sciences. Given every year, the medal is t ...
, and delivered the
Rutherford Memorial Lecture The Institute of Physics (IOP) is a UK-based learned society and professional body that works to advance physics education, research and application. It was founded in 1874 and has a worldwide membership of over 20,000. The IOP is the Physica ...
, and in 1991 he was awarded the Dirac Medal and Prize. On 2 October 2004, the building housing the sub-department 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 ...
at the University of Oxford was formally named the ''Sir Rudolf Peierls Centre for Theoretical Physics''.


Notes


See also

* Cavity method * Peierls–Bogoliubov inequality * Peierls–Nabarro potential * Hofstadter's butterfly *
Mermin–Wagner theorem In quantum field theory and statistical mechanics, the Mermin–Wagner theorem (also known as Mermin–Wagner–Hohenberg theorem, Mermin–Wagner–Berezinskii theorem, or Coleman theorem) states that continuous symmetries cannot be spontaneousl ...
* Mott insulator


References

* * * * * * * * *


External links


1979 Audio Interview with Sir Rudolf Peierls by Martin Sherwin
Voices of the Manhattan Project * *
War and Peace in the Nuclear Age; Dawn; Interview with Rudolf Peierls, 1986

FBI file on Rudolf and Eugenia Peierls
* * {{DEFAULTSORT:Peierls, Rudolf 1907 births 1995 deaths Academics of the University of Birmingham Alumni of St John's College, Cambridge 20th-century British physicists Enrico Fermi Award recipients Wykeham Professors of Physics Fellows of New College, Oxford Fellows of the Royal Society Members of the French Academy of Sciences Fellows of the American Academy of Arts and Sciences Foreign Members of the USSR Academy of Sciences Foreign Members of the Russian Academy of Sciences Foreign associates of the National Academy of Sciences 20th-century German physicists Jewish scientists Jews who immigrated to the United Kingdom to escape Nazism Naturalised citizens of the United Kingdom Manhattan Project people People associated with the nuclear weapons programme of the United Kingdom Recipients of the Copley Medal Recipients of the Medal of Freedom Lorentz Medal winners Royal Medal winners Winners of the Max Planck Medal Jewish physicists Commanders of the Order of the British Empire Knights Bachelor Leipzig University alumni Recipients of the Matteucci Medal