Paul Peter Ewald
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Paul Peter Ewald, FRS (January 23, 1888 in
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,
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– August 22, 1985 in
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, New York) was a German crystallographer and
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 ...
, a pioneer of X-ray diffraction methods.


Education

Ewald received his early education in the classics at the Gymnasium in Berlin and
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, where he learned to speak Greek, French, and English, in addition to his native German.Ewald
– Memorial
Ewald began his higher education in
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 r ...
, chemistry, and mathematics at
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in
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, during the winter of 1905. In 1906 and 1907, he continued his formal education at the
University of Göttingen The University of Göttingen, officially the Georg August University of Göttingen, (german: Georg-August-Universität Göttingen, known informally as Georgia Augusta) is a public research university in the city of Göttingen, Germany. Founded ...
, where his interests turned primarily to mathematics. At that time, Göttingen was a world-class center of mathematics under the three “Mandarins” of Göttingen:
Felix Klein Christian Felix Klein (; 25 April 1849 – 22 June 1925) was a German mathematician and mathematics educator, known for his work with group theory, complex analysis, non-Euclidean geometry, and on the associations between geometry and grou ...
, David Hilbert, and Hermann Minkowski. While studying at Göttingen, Ewald was taken on by Hilbert as an ''Ausarbeiter'', a paid position as a scribe, i.e. he would take notes in Hilbert’s classes, have the notes approved by Hilbert’s assistant — at that time,
Ernst Hellinger Ernst David Hellinger (September 30, 1883 – March 28, 1950) was a German mathematician. Early years Ernst Hellinger was born on September 30, 1883 in Striegau, Silesia, Germany (now Strzegom, Poland) to Emil and Julie Hellinger. He grew up in ...
 — and then prepare a clean copy for the ''Lesezimmer'' — the mathematics reading room. In 1907, he continued his mathematical studies at the Ludwig Maximilian University of Munich (LMU), under Arnold Sommerfeld at his Institute for Theoretical Physics. He was granted his doctorate in 1912. His doctoral thesis developed the laws of propagation of X-rays in single crystals. After earning his doctorate, he was an assistant to Sommerfeld.Author Index: Ewald
– American Philosophical Society
During the 1911 Christmas recess and in January 1912, Ewald was finishing the writing of his doctoral thesis. It was on a walk through ''Englischer Garten'' in Munich, in January, that Ewald was telling Max von Laue about his thesis topic. The wavelengths of concern to Ewald were in the visible region of the spectrum and hence much larger than the spacing between the resonators in Ewald’s crystal model. Laue seemed distracted and wanted to know what would be the effect if much smaller wavelengths were considered. It was not until June of that year that Ewald heard Sommerfeld report to the ''Physikalische Gesellschaft'' of Göttingen on the successful diffraction of X-rays by Max von Laue, Paul Knipping and Walter Friedrich at LMU, for which Laue would be awarded the
Nobel Prize in Physics ) , image = Nobel Prize.png , alt = A golden medallion with an embossed image of a bearded man facing left in profile. To the left of the man is the text "ALFR•" then "NOBEL", and on the right, the text (smaller) "NAT•" then " ...
, in 1914. With the rise of theoretical physics in the early part of the twentieth century and its foundation in mathematics, David Hilbert decided to lend an organizing hand to formalizing the sciences, starting with physics. In 1912, Hilbert asked his friend and colleague Arnold Sommerfeld to send him a special assistant for physics. Sommerfeld sent Ewald, who was dubbed as “Hilbert’s tutor for physics”, and he performed this function until 1913, when Sommerfeld sent another one of his students,
Alfred Landé Alfred Landé (13 December 1888 – 30 October 1976) was a German-American physicist known for his contributions to quantum theory. He is responsible for the Landé g-factor and an explanation of the Zeeman effect. Life and achievements Alf ...
. The first problem assigned to Ewald was to review the controversy in the literature on the constants of elasticity in crystals and report back. A few years later, Max Born, at Göttingen, solved the problem. During Ewald’s stay in Göttingen, he was often a visitor at ''El BoKaReBo'', a boarding house run by Sister Annie at Dahlmannstrasse 17. The name was derived from the first letters of the last names of its boarders: “El” for Ella Philippson (a medical student), “Bo” for Max Born (a Privatdozent) and Hans Bolza (a physics student), “Ka” for
Theodore von Kármán Theodore von Kármán ( hu, ( szőllőskislaki) Kármán Tódor ; born Tivadar Mihály Kármán; 11 May 18816 May 1963) was a Hungarian-American mathematician, aerospace engineer, and physicist who was active primarily in the fields of aeronaut ...
(a Privatdozent), and “Re” for Albrecht Renner (a medical student).
Richard Courant Richard Courant (January 8, 1888 – January 27, 1972) was a German American mathematician. He is best known by the general public for the book '' What is Mathematics?'', co-written with Herbert Robbins. His research focused on the areas of real ...
, a mathematician and Privatdozent, called these people the “in group”. It was here that Ewald met Ella Philippson, who was to become his wife. In the spring of 1913,
Niels Bohr Niels Henrik David Bohr (; 7 October 1885 – 18 November 1962) was a Danish physicist who made foundational contributions to understanding atomic structure and quantum theory, for which he received the Nobel Prize in Physics in 1922 ...
, of the Institute for Theoretical Physics at the
University of Copenhagen The University of Copenhagen ( da, Københavns Universitet, KU) is a prestigious public research university in Copenhagen, Denmark. Founded in 1479, the University of Copenhagen is the second-oldest university in Scandinavia after Uppsala Unive ...
, submitted his theory of the Bohr atomic model for publication. Later that year, Ewald attended the Birmingham meeting of the
British Association The British Science Association (BSA) is a charity and learned society founded in 1831 to aid in the promotion and development of science. Until 2009 it was known as the British Association for the Advancement of Science (BA). The current Chie ...
where he heard accounts and discussions of James Jeans’ review on radiation theory and Bohr’s model. This ignited a major new area of research for Sommerfeld and his students — the study and interpretation of
atomic spectra Spectroscopy is the field of study that measures and interprets the electromagnetic spectra that result from the interaction between electromagnetic radiation and matter as a function of the wavelength or frequency of the radiation. Matter wa ...
and molecular band spectroscopy and theoretical modeling of atomic and molecular structure. During
World War I World War I (28 July 1914 11 November 1918), often abbreviated as WWI, was one of the deadliest global conflicts in history. Belligerents included much of Europe, the Russian Empire, the United States, and the Ottoman Empire, with fightin ...
, Ewald served in the German military as a medical technician. When he could, he continued to think about the physics of his doctoral thesis, and he developed the dynamical theory of X-ray diffraction, which he was later to use in his
Habilitationsschrift 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 ...
. At the conclusion of the war, he returned to LMU as an assistant to Sommerfeld. He completed his Habilitation in 1917, and became a Privatdozent there, while remaining as an assistant to Sommerfeld. In 1921, while still at LMU, Ewald published a paper on the
theta function In mathematics, theta functions are special functions of several complex variables. They show up in many topics, including Abelian varieties, moduli spaces, quadratic forms, and solitons. As Grassmann algebras, they appear in quantum field ...
method of analyzing dipole fields in crystals, an offshoot from his earlier work on the dynamical theory of optics and X-rays in crystals, which appeared in three journal publications. According to Ewald, the impetus for the method came from a skiing holiday in
Mittenwald Mittenwald is a German municipality in the district of Garmisch-Partenkirchen, in Bavaria. Geography Mittenwald is located approximately 16 kilometres to the south-east of Garmisch-Partenkirchen. It is situated in the Valley of the River Isar, ...
, at Easter, in 1911. It was Sommerfeld’s practice to take his students and assistants on skiing outings in the winter and mountain climbing outings in the summer, where the discussions of physics were as hard as the physical exertion of the outings. Ewald, was having trouble subtracting out of his calculations the field of the test dipole. The solution was provided by Sommerfeld’s assistant and former doctoral student,
Peter 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 ...
, in a discussion that took no more than 15 minutes. Ewald’s paper has been widely cited in the literature as well as scientific books, such as ''Dynamical Theory of Crystal Lattices'', by Max Born and Kun Huang.


Career

When
Erwin Schrödinger Erwin Rudolf Josef Alexander Schrödinger (, ; ; 12 August 1887 – 4 January 1961), sometimes written as or , was a Nobel Prize-winning Austrian physicist with Irish citizenship who developed a number of fundamental results in quantum theo ...
let it be known that he was leaving his position as extraordinarius professor at the
Technische Hochschule Stuttgart The University of Stuttgart (german: Universität Stuttgart) is a leading research university located in Stuttgart, Germany. It was founded in 1829 and is organized into 10 faculties. It is one of the oldest technical universities in Germany with ...
to go to the
University of Breslau A university () is an institution of higher (or tertiary) education and research which awards academic degrees in several academic disciplines. Universities typically offer both undergraduate and postgraduate programs. In the United States, th ...
, Ewald was called and accepted the position in 1921. In 1922, he was called to the
University of Münster The University of Münster (german: Westfälische Wilhelms-Universität Münster, WWU) is a public research university located in the city of Münster, North Rhine-Westphalia in Germany. With more than 43,000 students and over 120 fields of stud ...
. Ewald used the offer to better his position at Stuttgart to ordinarius professor; however, while Ewald was promoted to ordinarius professor, the established position was actually retained as an extraordinarius professorship. From 1922, Erwin Fues, also a former doctoral student of Sommerfeld, did postgraduate work at the Stuttgart Technische Hochschule under Ewald; Fues completed his Habilitation in 1924. Also in that year, Ewald became co-editor of '' Zeitschrift für Kristallographie''. In 1929, he received a call to the Technische Hochschule Hanover. Again, he used this call to better his position at Stuttgart by negotiating for a second assistant, the permanent conversion of his position to that of ordinarius professor, and a separate building for his activities. The building was formally opened in 1930 as the Institute for Theoretical Physics, with Ewald as director. The institute was modeled after Sommerfeld’s Institute for Theoretical Physics at Munich, in that it would conduct theoretical work as well as have space and equipment for experimental work. In 1931, Ewald was appointed Director of the Physical Science Division.Ewald
– IURC. Stuttgart honors Ewald.
Ewald
– ITAP University of Stuttgart
At Göttingen,
Richard Courant Richard Courant (January 8, 1888 – January 27, 1972) was a German American mathematician. He is best known by the general public for the book '' What is Mathematics?'', co-written with Herbert Robbins. His research focused on the areas of real ...
had taken Hilbert’s lecture notes which were available in the ''Lesezimmer'', edited them and added to them to write a two-volume work. The first volume, ''Methoden der mathematischen Physik I'', was published in 1924. Upon seeing the book, Ewald was compelled to write a detailed review describing it as providing mathematical tools, characterized by eigenvalues and eigenfunctions, for the theoretical physics then being developed. The Courant-Hilbert book fortuitously contained the mathematics necessary for the development of the Heisenberg- Born
matrix mechanics Matrix mechanics is a formulation of quantum mechanics created by Werner Heisenberg, Max Born, and Pascual Jordan in 1925. It was the first conceptually autonomous and logically consistent formulation of quantum mechanics. Its account of quantum j ...
formulation of
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 chemistr ...
and also for Schrödinger’s wave mechanics formulation, both put forward in 1925. The main thrust of Ewald’s work was X-ray crystallography, and Ewald was the
eponym An eponym is a person, a place, or a thing after whom or which someone or something is, or is believed to be, named. The adjectives which are derived from the word eponym include ''eponymous'' and ''eponymic''. Usage of the word The term ''epon ...
of Ewald construction and the Ewald sphere, both useful constructs in that field. In 1929, in order to remove confusion from the proliferation of crystallographic data, Ewald proposed review and collection of the best data into a single publication. The results were published in 1935 as the '' Internationale Tabellen zur Bestimmung von Kristallstrukturen''. Another contribution by Ewald, published in 1931, ''Strukturbericht Volume I (1913-1928)'' was edited by Ewald and C. Hermann. Ewald was elected
Rector Rector (Latin for the member of a vessel's crew who steers) may refer to: Style or title *Rector (ecclesiastical), a cleric who functions as an administrative leader in some Christian denominations *Rector (academia), a senior official in an edu ...
at Stuttgart in 1932. However, due to increasing difficulties with faculty who were members of
National Socialism Nazism ( ; german: Nazismus), the common name in English for National Socialism (german: Nationalsozialismus, ), is the far-right totalitarian political ideology and practices associated with Adolf Hitler and the Nazi Party (NSDAP) in Naz ...
in Germany, he resigned his position in the spring of 1933, one year before his term was due to expire. Ewald continued with his other activities. However, over increasing problems with the Dozentenbund, Wilhelm Stortz, University Rector, asked Ewald to leave. He emigrated to England in 1937 along with his mother, the painter Clara Ewald, and took a research position in
Cambridge Cambridge ( ) is a College town, university city and the county town in Cambridgeshire, England. It is located on the River Cam approximately north of London. As of the 2021 United Kingdom census, the population of Cambridge was 145,700. Cam ...
, until he was offered and accepted a lectureship at Queen's University Belfast in 1939. He later became a professor of mathematical physics. While lecturing at Duke University in 1937,
Hans Bethe Hans Albrecht Bethe (; July 2, 1906 – March 6, 2005) was a German-American theoretical physicist who made major contributions to nuclear physics, astrophysics, quantum electrodynamics, and solid-state physics, and who won the 1967 Nobel ...
, who got his doctorate under Sommerfeld in 1928, bumped into Ewald's daughter Rose, who had already emigrated to the United States and who was attending the school. They were married in September 1939. Thus, Bethe became son-in-law to Paul Peter Ewald. Near the end 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 opposing ...
, Sommerfeld organized his lecture notes and began writing the six-volume '' Lectures on Theoretical Physics''. While at the
Polytechnic Institute of Brooklyn The New York University Tandon School of Engineering (commonly referred to as Tandon) is the engineering and applied sciences school of New York University. Tandon is the second oldest private engineering and technology school in the United Sta ...
, Ewald wrote a ''Foreword to Sommerfeld’s Course'', which appeared in the English translation of Sommerfeld’s work.Sommerfeld, Volume I, 1964, pp. v-vii. Also, toward the end 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 opposing ...
, Ewald was concerned that peace would result in the establishment of multiple, competing national journals of crystallography. So, in 1944, at Oxford, he proposed the establishment of an
International Union of Crystallography The International Union of Crystallography (IUCr) is an organisation devoted to the international promotion and coordination of the science of crystallography. The IUCr is a member of the International Council for Science (ICSU). Objectives T ...
(IUCr) that would have sole responsibility for publishing crystallographic research. In 1946, he was elected Chairman of the Provisional International Crystallographic Committee, in a London meeting of crystallographers, from 13 countries; he served in this capacity until 1948, when the Union was formed. The Committee also nominated him Editor of the journal to be published by the Union. The first issue of ''
Acta Crystallographica ''Acta Crystallographica'' is a series of peer-reviewed scientific journals, with articles centred on crystallography, published by the International Union of Crystallography (IUCr). Originally established in 1948 as a single journal called ''Act ...
'' was published in 1948, the same year that Ewald chaired the first General Assembly and International Congress of the IUCr, which was held at
Harvard University Harvard University is a private Ivy League research university in Cambridge, Massachusetts. Founded in 1636 as Harvard College and named for its first benefactor, the Puritan clergyman John Harvard, it is the oldest institution of high ...
.Ewald Prize
iucr.org. Accessed September 5, 2022.
In 1952, Ewald was elected President of the
American Crystallographic Association The American Crystallographic Association, Inc. (ACA) is a non-profit, scientific organization for scientists who study the structure of matter via crystallographic methodologies. Since its founding in 1949 it has amassed over 2000 members worldwi ...
. He served on the IUCr Executive Committee from its foundation until 1966, and he was its Vice-President in 1957 and President in 1960, a position he held until 1963. His editorship of its journal ''
Acta Crystallographica ''Acta Crystallographica'' is a series of peer-reviewed scientific journals, with articles centred on crystallography, published by the International Union of Crystallography (IUCr). Originally established in 1948 as a single journal called ''Act ...
'' extended from its inception in 1948 to 1959. A decade after moving to Belfast, Ewald moved to the United States in 1949 and took a position at the
Polytechnic Institute of Brooklyn The New York University Tandon School of Engineering (commonly referred to as Tandon) is the engineering and applied sciences school of New York University. Tandon is the second oldest private engineering and technology school in the United Sta ...
, as a professor and head of the Physics Department. He retired as head of the department in 1957 and from teaching in 1959.


Honors

*1958 –
Fellow of the Royal Society Fellowship of the Royal Society (FRS, ForMemRS and HonFRS) is an award granted by the judges of the Royal Society of London to individuals who have made a "substantial contribution to the improvement of natural knowledge, including mathemat ...
*1978 –
Deutsche Physikalische Gesellschaft The German Physical Society (German: , DPG) is the oldest organisation of physicists. The DPG's worldwide membership is cited as 60,547, as of 2019, making it the largest physics society in the world. It holds an annual conference () and multiple ...
Max Planck medal The Max Planck medal is the highest award of the German Physical Society , the world's largest organization of physicists, for extraordinary achievements in theoretical physics. The prize has been awarded annually since 1929, with few exceptions, ...
*1979 –
Gregori Aminoff Prize The Gregori Aminoff Prize is an international prize awarded since 1979 by the Royal Swedish Academy of Sciences in the field of crystallography, rewarding "a documented, individual contribution in the field of crystallography, including areas conce ...
*1986 – The
International Union of Crystallography The International Union of Crystallography (IUCr) is an organisation devoted to the international promotion and coordination of the science of crystallography. The IUCr is a member of the International Council for Science (ICSU). Objectives T ...
established the Ewald Prize for outstanding contributions to the science of crystallography.


Books

*Paul Peter Ewald ''Kristalle und Röntgenstrahlen'' (Springer, 1923) *Paul Peter Ewald, Theodor Pöschl, Ludwig Prandtl; authorized translation by J. Dougall and Winifred Margaret Deans ''The Physics of Solids and Fluids: With Recent Developments'' (Blackie and Son, 1930) *Paul Peter Ewald ''Der Weg der Forschung (insbesondere der Physik)'' (A. Bonz'erben, 1932) *Peter Paul Ewald, edito
''50 Years of X-Ray Diffraction''
(Reprinted in pdf format for the IUCr XVIII Congress, Glasgow, Scotland, 1962, 1999 International Union of Crystallography) *Peter Paul Ewald ''On the Foundations of Crystal Optics'' (Air Force Cambridge Research Laboratories, 1970)


See also

* Ewald summation *
Ewald's sphere The Ewald sphere is a geometric construction used in electron, neutron, and X-ray crystallography which demonstrates the relationship between: :* the wavevector of the incident and diffracted x-ray beams, :* the diffraction angle for a given ref ...
* Multiple scattering theory * Ewald–Oseen extinction theorem * Pendellösung * George Doundoulakis


Bibliography

* Durward W. J. Cruickshank, Hellmut J. Juretschke, N.` Kato (editors) ''P. P. Ewald and His Dynamical Theory of X-ray Diffraction: A Memorial Volume for Paul P. Ewald'' (
Oxford University Press Oxford University Press (OUP) is the university press of the University of Oxford. It is the largest university press in the world, and its printing history dates back to the 1480s. Having been officially granted the legal right to print books ...
, 1992)


Notes


References

*Ewald, P. P., edito
''50 Years of X-Ray Diffraction''
(Reprinted in pdf format for the IUCr XVIII Congress, Glasgow, Scotland, Copyright © 1962, 1999 International Union of Crystallography) *Greenspan, Nancy Thorndike '' End of the Certain World: The Life and Science of Max Born. The Nobel Physicist Who Ignited the Quantum Revolution''. (Basic Books, 2005) *Jungnickel, Christa and Russell McCormmach. '' Intellectual Mastery of Nature: Theoretical Physics from Ohm to Einstein''. Volume 2: ''The Now Mighty Theoretical Physics, 1870 to 1925''. University of Chicago Press, Paper cover, 1990. * Mehra, Jagdish, and
Helmut Rechenberg Helmut Rechenberg (born November 6, 1937, in Berlin; died November 10, 2016, in Munich) was a German physicist and science historian. Rechenberg studied mathematics, physics and astronomy at the University of Munich and graduated in 1964. At Mun ...
''The Historical Development of Quantum Theory. Volume 1 Part 1 The Quantum Theory of Planck, Einstein, Bohr and Sommerfeld 1900–1925: Its Foundation and the Rise of Its Difficulties.'' (Springer, 2001) *Mehra, Jagdish, and Helmut Rechenberg ''The Historical Development of Quantum Theory. Volume 1 Part 2 The Quantum Theory of Planck, Einstein, Bohr and Sommerfeld 1900–1925: Its Foundation and the Rise of Its Difficulties.'' (Springer, 2001) *Mehra, Jagdish, and Helmut Rechenberg ''The Historical Development of Quantum Theory. Volume 5 Erwin Schrödinger and the Rise of Wave Mechanics. Part 1 Schrödinger in Vienna and Zurich 1887-1925.'' (Springer, 2001) *Mehra, Jagdish, and Helmut Rechenberg ''The Historical Development of Quantum Theory. Volume 5 Erwin Schrödinger and the Rise of Wave Mechanics. Part 2 The Creation of Wave Mechanics: Early Response and Applications 1925 - 1926.'' (Springer, 2001) *Reid, Constance ''Courant'' (Springer, 1996) *Reid, Constance ''Hilbert'' (Springer, 1996) *Sommerfeld, Arnold, translated from the fourth German edition by Martin O. Stern '' Mechanics - Lectures on Theoretical Physics Volume I'' (Academic Press, 1964) *S.G. Podorov, A. Nazarkin, "Wide-Angle X-Ray Diffraction Theory Versus Classical Dynamical Theory" - Recent Res. Devel. Optics, 7 (2009)


External links


Oral History interview transcript with Paul Peter Ewald on 1 April 1959, American Institute of Physics, Niels Bohr Library & Archives

Oral History interview transcript with Paul Peter Ewald on 29 March 1962, American Institute of Physics, Niels Bohr Library & Archives
- Session I
Oral History interview transcript with Paul Peter Ewald on 8 May 1962, American Institute of Physics, Niels Bohr Library & Archives
- Session II
Oral History interview transcript with Paul Peter Ewald on 17 May 1968, American Institute of Physics, Niels Bohr Library & Archives
- Session I
Oral History interview transcript with Paul Peter Ewald on 24 May 1968, American Institute of Physics, Niels Bohr Library & Archives
- Session II {{DEFAULTSORT:Ewald, Paul Peter 1888 births 1985 deaths Scientists from Göttingen 20th-century American physicists 20th-century German physicists Fellows of the Royal Society Polytechnic Institute of New York University faculty Winners of the Max Planck Medal Presidents of the American Crystallographic Association Presidents of the International Union of Crystallography