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Paul Peter Ewald, FRS (January23, 1888August22, 1985) 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 X-ray diffraction is a generic term for phenomena associated with changes in the direction of X-ray beams due to interactions with the electrons around atoms. It occurs due to elastic scattering, when there is no change in the energy of the waves. ...
methods.


Education

Ewald received his early education in the classics at the Gymnasium in Berlin and
Potsdam Potsdam () is the capital and largest city of the Germany, German States of Germany, state of Brandenburg. It is part of the Berlin/Brandenburg Metropolitan Region. Potsdam sits on the Havel, River Havel, a tributary of the Elbe, downstream of B ...
, 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 scientific study of matter, its Elementary particle, 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 whi ...
,
chemistry Chemistry is the scientific study of the properties and behavior of matter. It is a physical science within the natural sciences that studies the chemical elements that make up matter and chemical compound, compounds made of atoms, molecules a ...
, and
mathematics Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many ar ...
at Gonville and Caius College in
Cambridge Cambridge ( ) is a List of cities in the United Kingdom, city and non-metropolitan district in the county of Cambridgeshire, England. It is the county town of Cambridgeshire and is located on the River Cam, north of London. As of the 2021 Unit ...
, 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 (, commonly referred to as Georgia Augusta), is a Public university, public research university in the city of Göttingen, Lower Saxony, Germany. Founded in 1734 ...
, 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 Felix Christian Klein (; ; 25 April 1849 – 22 June 1925) was a German mathematician and Mathematics education, mathematics educator, known for his work in group theory, complex analysis, non-Euclidean geometry, and the associations betwe ...
,
David Hilbert David Hilbert (; ; 23 January 1862 – 14 February 1943) was a German mathematician and philosopher of mathematics and one of the most influential mathematicians of his time. Hilbert discovered and developed a broad range of fundamental idea ...
, and
Hermann Minkowski Hermann Minkowski (22 June 1864 – 12 January 1909) was a mathematician and professor at the University of Königsberg, the University of Zürich, and the University of Göttingen, described variously as German, Polish, Lithuanian-German, o ...
. 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 and is primarily known for his works on statistics and probability. His works include Hellinger distance and Hellinger integral which were introduced by him ...
 — 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 The Ludwig Maximilian University of Munich (simply University of Munich, LMU or LMU Munich; ) is a public university, public research university in Munich, Bavaria, Germany. Originally established as the University of Ingolstadt in 1472 by Duke ...
(LMU), under
Arnold Sommerfeld Arnold Johannes Wilhelm Sommerfeld (; 5 December 1868 – 26 April 1951) was a German Theoretical physics, theoretical physicist who pioneered developments in Atomic physics, atomic and Quantum mechanics, quantum physics, and also educated and ...
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 Max Theodor Felix von Laue (; 9 October 1879 – 24 April 1960) was a German physicist who received the Nobel Prize in Physics in 1914 "for his discovery of the X-ray diffraction, diffraction of X-rays by crystals". In addition to his scientifi ...
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 Max Theodor Felix von Laue (; 9 October 1879 – 24 April 1960) was a German physicist who received the Nobel Prize in Physics in 1914 "for his discovery of the X-ray diffraction, diffraction of X-rays by crystals". In addition to his scientifi ...
, Paul Knipping and Walter Friedrich at LMU, for which Laue would be awarded the
Nobel Prize in Physics The Nobel Prize in Physics () is an annual award given by the Royal Swedish Academy of Sciences for those who have made the most outstanding contributions to mankind in the field of physics. It is one of the five Nobel Prizes established by the ...
, 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. 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 Max Born (; 11 December 1882 – 5 January 1970) was a German-British theoretical physicist who was instrumental in the development of quantum mechanics. He also made contributions to solid-state physics and optics, and supervised the work of a ...
, 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 Max Born (; 11 December 1882 – 5 January 1970) was a German-British theoretical physicist who was instrumental in the development of quantum mechanics. He also made contributions to solid-state physics and optics, and supervised the work of a ...
(a
Privatdozent ''Privatdozent'' (for men) or ''Privatdozentin'' (for women), abbreviated PD, P.D. or Priv.-Doz., is an academic title conferred at some European universities, especially in German-speaking countries, to someone who holds certain formal qualifi ...
) and Hans Bolza (a physics student), “Ka” for Theodore von Kármán (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 theoretical physicist who made foundational contributions to understanding atomic structure and old quantum theory, quantum theory, for which he received the No ...
, of the Institute for Theoretical Physics at the
University of Copenhagen The University of Copenhagen (, KU) is a public university, public research university in Copenhagen, Copenhagen, Denmark. Founded in 1479, the University of Copenhagen is the second-oldest university in Scandinavia, after Uppsala University. ...
, 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 Chief ...
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 and molecular band spectroscopy and theoretical modeling of atomic and
molecular structure Molecular geometry is the three-dimensional arrangement of the atoms that constitute a molecule. It includes the general shape of the molecule as well as bond lengths, bond angles, torsional angles and any other geometrical parameters that det ...
. During
World War I World War I or the First World War (28 July 1914 – 11 November 1918), also known as the Great War, was a World war, global conflict between two coalitions: the Allies of World War I, Allies (or Entente) and the Central Powers. Fighting to ...
, 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 Germany, France, Italy, Poland and some other European and non-English-speaking countries. The candidate fulfills a university's set criteria of excelle ...
. At the conclusion of the war, he returned to LMU as an assistant to Sommerfeld. He completed his
Habilitation Habilitation is the highest university degree, or the procedure by which it is achieved, in Germany, France, Italy, Poland and some other European and non-English-speaking countries. The candidate fulfills a university's set criteria of excelle ...
in 1917, and became a
Privatdozent ''Privatdozent'' (for men) or ''Privatdozentin'' (for women), abbreviated PD, P.D. or Priv.-Doz., is an academic title conferred at some European universities, especially in German-speaking countries, to someone who holds certain formal qualifi ...
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. Theta functions are parametrized by points in a tube ...
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, 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 ( ; born Petrus Josephus Wilhelmus Debije, ; March 24, 1884 – November 2, 1966) was a Dutch-American physicist and physical chemist, and Nobel laureate in Chemistry. Biography Early life Born in Maastricht, Neth ...
, 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 Max Born (; 11 December 1882 – 5 January 1970) was a German-British theoretical physicist who was instrumental in the development of quantum mechanics. He also made contributions to solid-state physics and optics, and supervised the work of a ...
and Kun Huang.


Career

When
Erwin Schrödinger Erwin Rudolf Josef Alexander Schrödinger ( ; ; 12 August 1887 – 4 January 1961), sometimes written as or , was an Austrian-Irish theoretical physicist who developed fundamental results in quantum field theory, quantum theory. In particul ...
let it be known that he was leaving his position as extraordinarius professor at the Technische Hochschule Stuttgart to go to the University of Breslau, Ewald was called and accepted the position in 1921. In 1922, he was called to the
University of Münster The University of Münster (, until 2023 , 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 study in 15 departments, it is Germany's ...
. 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 In linear algebra, an eigenvector ( ) or characteristic vector is a vector that has its direction unchanged (or reversed) by a given linear transformation. More precisely, an eigenvector \mathbf v of a linear transformation T is scaled by a ...
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 ...
formulation of
quantum mechanics Quantum mechanics is the fundamental physical Scientific theory, theory that describes the behavior of matter and of light; its unusual characteristics typically occur at and below the scale of atoms. Reprinted, Addison-Wesley, 1989, It is ...
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 noun after which or for which someone or something is, or is believed to be, named. Adjectives derived from the word ''eponym'' include ''eponymous'' and ''eponymic''. Eponyms are commonly used for time periods, places, innovati ...
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 at Stuttgart in 1932. However, due to increasing difficulties with faculty who were members of
National Socialism Nazism (), formally named National Socialism (NS; , ), is the far-right totalitarian socio-political ideology and practices associated with Adolf Hitler and the Nazi Party (NSDAP) in Germany. During Hitler's rise to power, it was frequ ...
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 List of cities in the United Kingdom, city and non-metropolitan district in the county of Cambridgeshire, England. It is the county town of Cambridgeshire and is located on the River Cam, north of London. As of the 2021 Unit ...
, until he was offered and accepted a lectureship at
Queen's University Belfast The Queen's University of Belfast, commonly known as Queen's University Belfast (; abbreviated Queen's or QUB), is a public research university in Belfast, Northern Ireland, United Kingdom. The university received its charter in 1845 as part of ...
in 1939. He later became a professor of mathematical physics. While lecturing at
Duke University Duke University is a Private university, private research university in Durham, North Carolina, United States. Founded by Methodists and Quakers in the present-day city of Trinity, North Carolina, Trinity in 1838, the school moved to Durham in 1 ...
in 1937,
Hans Bethe Hans Albrecht Eduard Bethe (; ; July 2, 1906 – March 6, 2005) was a German-American physicist who made major contributions to nuclear physics, astrophysics, quantum electrodynamics and solid-state physics, and received the Nobel Prize in Physi ...
, 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 (1 September 1939 – 2 September 1945) was a World war, global conflict between two coalitions: the Allies of World War II, Allies and the Axis powers. World War II by country, Nearly all of the wo ...
, Sommerfeld organized his lecture notes and began writing the six-volume '' Lectures on Theoretical Physics''. While at the Polytechnic Institute of Brooklyn, 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 (1 September 1939 – 2 September 1945) was a World war, global conflict between two coalitions: the Allies of World War II, Allies and the Axis powers. World War II by country, Nearly all of the wo ...
, 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 ''A ...
'' 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 university, private Ivy League research university in Cambridge, Massachusetts, United States. Founded in 1636 and named for its first benefactor, the History of the Puritans in North America, Puritan clergyma ...
.Ewald Prize
iucr.org. Accessed September 5, 2022.
In 1952, Ewald was elected president of the American Crystallographic Association. 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 ''A ...
'' 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, 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 Fellows of the Royal Society of London to individuals who have made a "substantial contribution to the improvement of natural science, natural knowledge, incl ...
*1978 –
Deutsche Physikalische Gesellschaft The German Physical Society (German: , DPG) is the oldest organisation of physicists. As of 2022, the DPG's worldwide membership is cited as 52,220, making it one of the largest national physics societies in the world. The DPG's membership peaked ...
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 *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 summation, named after Paul Peter Ewald, is a method for computing long-range interactions (e.g. electrostatic interactions) in periodic systems. It was first developed as the method for calculating the electrostatic energies of ionic crys ...
* Ewald's sphere * 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 publishing house of the University of Oxford. It is the largest university press in the world. Its first book was printed in Oxford in 1478, with the Press 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 ''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 histories


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


Archival collections


International Union of Crystallography Paul Peter Ewald records, 1936-1967, Niels Bohr Library & Archives
{{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 German crystallographers