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Paul Peter Ewald

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2323: 1805: 536:. 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. 479:, 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, 2716: 683:(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 2728: 377:
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
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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
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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
651:, 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. 519:. 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. 349:
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.
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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
526:, 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 2799: 2593: 528: 2794: 2588: 700:. 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 2784: 393:, 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 378:
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,
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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
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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.
679:, 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 1670:
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.
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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.
885: 155: 1481:, P. P. Ewald and C. Hermann, editors (Akademische Verlagsgesellschaft M.B.H., Leipzig, 1931). After 1939, the reports were published in the United States under the name 382:. 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, 451:, 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 1560: 317:, where his interests turned primarily to mathematics. At that time, Göttingen was a world-class center of mathematics under the three “Mandarins” of Göttingen: 2462: 1684:
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.
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384-387 (1925). This article was published in the 1 May 1925 issue. – This reference cited in: Mehra, Volume 5, Part 2, 2001, pp. 582-583 and 897.
1379: 333:, a paid position as a scribe, i.e. he would take notes in Hilbert’s classes, have the notes approved by Hilbert’s assistant â€” at that time, 483:, 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 409:, a mathematician and Privatdozent, called these people the “in group”. It was here that Ewald met Ella Philippson, who was to become his wife. 2639: 2631: 744: 680: 342: 2779: 2764: 2692: 2670: 1752: 1428: 697: 689:
was published in 1948, the same year that Ewald chaired the first General Assembly and International Congress of the IUCr, which was held at
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Oral History interview transcript with Paul Peter Ewald on 29 March 1962, American Institute of Physics, Niels Bohr Library & Archives
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Oral History interview transcript with Paul Peter Ewald on 1 April 1959, American Institute of Physics, Niels Bohr Library & Archives
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S.G. Podorov, A. Nazarkin, "Wide-Angle X-Ray Diffraction Theory Versus Classical Dynamical Theory" - Recent Res. Devel. Optics, 7 (2009)
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Oral History interview transcript with Paul Peter Ewald on 24 May 1968, American Institute of Physics, Niels Bohr Library & Archives
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Oral History interview transcript with Paul Peter Ewald on 17 May 1968, American Institute of Physics, Niels Bohr Library & Archives
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1298-1307 (1913). Received 19 October 1913. – Paper cited in: Mehra, Volume 1, Part 1, p. 202 and Mehra, Volume 1, Part 2, 2001, p. 770.
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During the 1911 Christmas recess and in January 1912, Ewald was finishing the writing of his doctoral thesis. It was on a walk through
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Oral History interview transcript with Paul Peter Ewald on 8 May 1962, American Institute of Physics, Niels Bohr Library & Archives
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Upon seeing the book, Ewald was compelled to write a detailed review describing it as providing mathematical tools, characterized by
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wave mechanics formulation, both put forward in 1925. The main thrust of Ewald’s work was X-ray crystallography, and Ewald was the
2407: 845: 1489: 2680: 2603: 2477: 2076: 1740: 660: 508: 452: 173: 2437: 628:, Wilhelm Stortz, University Rector, asked Ewald to leave. He emigrated to England in 1937 along with his mother, the painter 2515: 713:, as a professor and head of the physics department. He retired as head of the department in 1957 and from teaching in 1959. 533: 1033: 791:(Reprinted in pdf format for the IUCr XVIII Congress, Glasgow, Scotland, 1962, 1999 International Union of Crystallography) 2530: 2520: 1825: 637: 177: 2302: 2654: 1927: 1905: 1614: 765: 2332: 2206: 1960: 1855: 723: 251: 1076: 2322: 2804: 2732: 2563: 1860: 818: 436:. This ignited a major new area of research for Sommerfeld and his students â€” the study and interpretation of 314: 306: 111: 83: 1615:
End of the Certain World: The Life and Science of Max Born. The Nobel Physicist Who Ignited the Quantum Revolution
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International Union of Crystallography Paul Peter Ewald records, 1936-1967, Niels Bohr Library & Archives
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A decade after moving to Belfast, Ewald moved to the United States in 1949 and took a position at the
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The Courant-Hilbert book fortuitously contained the mathematics necessary for the development of the
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at Stuttgart in 1932. However, due to increasing difficulties with faculty who were members of
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Jungnickel, Volume 2, 1990, p. 284, quoting from references given in Footnote 100 on the page.
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P. P. Ewald and His Dynamical Theory of X-ray Diffraction: A Memorial Volume for Paul P. Ewald
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established the Ewald Prize for outstanding contributions to the science of crystallography.
732: 576: 341: â€” the mathematics reading room. In 1907, he continued his mathematical studies at the 283: 200: 150: 68: 64: 2472: 2467: 2432: 2252: 2151: 2086: 2049: 2044: 1895: 1841: 1493: 1467: 1407: 1383: 1364: 1327: 1130: 1037: 808: 644: 543: 406: 362:
considered. It was not until June of that year that Ewald heard Sommerfeld report to the
334: 290:, where he learned to speak Greek, French, and English, in addition to his native German. 263: 97: 828: 379: 115: 939: 313:, during the winter of 1905. In 1906 and 1907, he continued his formal education at the 2282: 2247: 2235: 2230: 2196: 2166: 2156: 2115: 2059: 1983: 1937: 471: 437: 2748: 2427: 2240: 2039: 1648: 1486: 547: 507:
let it be known that he was leaving his position as extraordinarius professor at the
322: 215: 515:, Ewald was called and accepted the position in 1921. In 1922, he was called to the 2133: 2123: 2017: 1900: 1505: 676: 655: 596: 464: 460: 398: 367: 358: 235: 1738:
Sommerfeld, Arnold, translated from the fourth German edition by Martin O. Stern
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The Dozentenbund was an association of National Socialist lecturers at Stuttgart.
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Both Hilbert and Minkowski, then at Göttingen, had gotten their doctorates under
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for publication. Later that year, Ewald attended the Birmingham meeting of the
318: 302: 131: 2181: 1867: 876: 648: 554:, edited them and added to them to write a two-volume work. The first volume, 523: 476: 433: 421: 413: 922:
Juretschke, H. J.; Moodie, A. F.; Wagenfeld, H. K.; Bethe, H. A. (May 1986).
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Paul Peter Ewald, Theodor Pöschl, Ludwig Prandtl; authorized translation by
633: 492: 310: 298: 267: 899: 880: 658:, Sommerfeld organized his lecture notes and began writing the six-volume 2487: 2257: 2005: 1588: 573: 488: 394: 383: 1631:
Intellectual Mastery of Nature: Theoretical Physics from Ohm to Einstein
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In 1931, Ewald was appointed director of the physical science division.
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and molecular band spectroscopy and theoretical modeling of atomic and
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and eigenfunctions, for the theoretical physics then being developed.
588: 188: 42: 405:(a Privatdozent), and “Re” for Albrecht Renner (a medical student). 329:. While studying at Göttingen, Ewald was taken on by Hilbert as an 2492: 1810: 1014:– Mathematics Genealogy Project. Ewald’s 1912 dissertation title: 672:, which appeared in the English translation of Sommerfeld’s work. 621: 1814: 1396: 1394: 1392: 1189:
Die Berechnung optischer und elektrostatischer Gitterpotentiale
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in 1939. He later became a professor of mathematical physics.
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Bericht ĂĽber die Tagung der British Association in Birmingham
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Internationale Tabellen zur Bestimmung von Kristallstrukturen
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In 1921, while still at LMU, Ewald published a paper on the
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During Ewald’s stay in Göttingen, he was often a visitor at
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The Physics of Solids and Fluids: With Recent Developments
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Ewald received his early education in the classics at the
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Zeitschrift für Kristallographie – New Crystal Structures
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Presidents of the International Union of Crystallography
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Zeitschrift für Kristallographie – Crystalline Materials
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of Göttingen on the successful diffraction of X-rays by
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Presidents of the American Crystallographic Association
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there, while remaining as an assistant to Sommerfeld.
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Polytechnic Institute of New York University faculty
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Mechanics - Lectures on Theoretical Physics Volume I
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Biographical Memoirs of Fellows of the Royal Society
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Dispersion und Doppelbrechung von Elektronengittern
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Ein Buch ĂĽber mathematische Physik: Courant-Hilbert
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Dispersion und Doppelbrechung von Elektronengittern
231: 221: 211: 199: 187: 169: 141: 121: 93: 75: 53: 28: 21: 1638:. University of Chicago Press, Paper cover, 1990. 881:"Paul Peter Ewald. 23 January 1888-22 August 1985" 416:, of the Institute for Theoretical Physics at the 798:(Air Force Cambridge Research Laboratories, 1970) 16:German crystallographer and physicist (1888–1985) 1636:The Now Mighty Theoretical Physics, 1870 to 1925 780:Der Weg der Forschung (insbesondere der Physik) 401:) and Hans Bolza (a physics student), “Ka” for 1584: 1582: 1353: 1351: 1349: 357:in Munich, in January, that Ewald was telling 337: â€” and then prepare a clean copy for the 1826: 706:extended from its inception in 1948 to 1959. 8: 1628:Jungnickel, Christa and Russell McCormmach. 848:, Hellmut J. Juretschke, N.` Kato (editors) 696:In 1952, Ewald was elected president of the 428:where he heard accounts and discussions of 2660: 2111: 1933: 1878: 1833: 1819: 1811: 1508:had become Chancellor on January 30, 1933. 1261:Zur BegrĂĽndung der Kristalloptik. Teil III 1135:On the Constitution of Atoms and Molecules 550:lecture notes which were available in the 18: 1237:Zur BegrĂĽndung der Kristalloptik. Teil II 947: 898: 1213:Zur BegrĂĽndung der Kristalloptik. Teil I 1062:Jungnickel, Volume 2, 1990, pp. 284-285. 599:, both useful constructs in that field. 1591:, iucr.org. Accessed September 5, 2022. 973: 971: 969: 967: 965: 963: 961: 959: 865: 1696:Mehra, Jagdish, and Helmut Rechenberg 1682:Mehra, Jagdish, and Helmut Rechenberg 1668:Mehra, Jagdish, and Helmut Rechenberg 1576:Sommerfeld, Volume I, 1964, pp. v-vii. 1165:Mehra, Volume 5, Part 1, 2001, p. 249. 745:International Union of Crystallography 681:International Union of Crystallography 343:Ludwig Maximilian University of Munich 871: 869: 698:American Crystallographic Association 532:. In 1929, he received a call to the 453:dynamical theory of X-ray diffraction 7: 2727: 2067:Phase transformation crystallography 1421:Methoden der mathematischen Physik I 1297:Dynamical Theory of Crystal Lattices 796:On the Foundations of Crystal Optics 613:was edited by Ewald and C. Hermann. 611:Strukturbericht Volume I (1913-1928) 556:Methoden der mathematischen Physik I 485:Dynamical Theory of Crystal Lattices 386:, at Göttingen, solved the problem. 293:Ewald began his higher education in 2574:Journal of Chemical Crystallography 730:Deutsche Physikalische Gesellschaft 455:, which he was later to use in his 1541:The Dictionary of Ulster Biography 1419:Richard Courant and David Hilbert 632:, and took a research position in 14: 1526:Ulrich Dehlinger succeeded Ewald. 1479:Vol. I: Strukturbericht 1913-1928 711:Polytechnic Institute of Brooklyn 666:Polytechnic Institute of Brooklyn 182:Polytechnic Institute of Brooklyn 2770:20th-century American physicists 2726: 2715: 2714: 2321: 1040:– American Philosophical Society 529:Zeitschrift fĂĽr Kristallographie 258:23, 1888 – August 2790:Winners of the Max Planck Medal 1367:– IURC. Stuttgart honors Ewald. 1330:– ITAP University of Stuttgart. 1299:(Oxford, Clarendon Press, 1954) 670:Foreword to Sommerfeld’s Course 661:Lectures on Theoretical Physics 509:Technische Hochschule Stuttgart 432:review on radiation theory and 174:Technische Hochschule Stuttgart 2775:20th-century German physicists 2516:Bilbao Crystallographic Server 1410:– ITAP University of Stuttgart 824:Ewald–Oseen extinction theorem 420:, submitted his theory of the 107:Ewald–Oseen extinction theorem 1: 1606:50 Years of X-Ray Diffraction 1567:. Accessed September 5, 2022. 1341:50 Years of X-Ray Diffraction 1311:– University of Pennsylvania. 1274:– University of Pennsylvania. 1250:– University of Pennsylvania. 1226:– University of Pennsylvania. 1202:– University of Pennsylvania. 1176:50 Years of X-Ray Diffraction 1051:50 Years of X-Ray Diffraction 788:50 Years of X-Ray Diffraction 759:Kristalle und Röntgenstrahlen 534:Technische Hochschule Hanover 2780:Fellows of the Royal Society 1270:519-597 (1917), as cited in 1246:117-143 (1916), as cited in 1198:253-287 (1921), as cited in 212:Other academic advisors 2564:Crystal Growth & Design 1856:Timeline of crystallography 1612:Greenspan, Nancy Thorndike 1537:"Clara Ewald (1859 - 1948)" 989:Greenspan, 2005, pp. 26-34. 724:Fellow of the Royal Society 232:Other notable students 2821: 2375:Nuclear magnetic resonance 879:; Hildebrandt, G. (1988). 819:Multiple scattering theory 638:Queen's University Belfast 558:, was published in 1924. 364:Physikalische Gesellschaft 307:Gonville and Caius College 178:Queen's University Belfast 112:Multiple scattering theory 2765:Scientists from Göttingen 2710: 2579:Journal of Crystal Growth 2319: 1466:November 3, 2005, at the 1386:– University of Stuttgart 1222:1-38 (1916), as cited in 924:"Obituary: Paul P. Ewald" 846:Durward W. J. Cruickshank 785:Peter Paul Ewald, editor 241: 162: 2445:Single particle analysis 2303:Hermann–Mauguin notation 1077:University of Königsberg 675:Also, toward the end of 418:University of Copenhagen 2569:Crystallography Reviews 2413:Isomorphous replacement 2207:Lomer–Cottrell junction 1178:Chapter 20, p. 456-457. 1114:Greenspan, 2005, p. 53. 1073:Ferdinand von Lindemann 854:Oxford University Press 775:(Blackie and Son, 1930) 770:Winifred Margaret Deans 412:In the spring of 1913, 315:University of Göttingen 262:22, 1985) was a German 84:University of Göttingen 80:University of Cambridge 2082:Spinodal decomposition 1744:(Academic Press, 1964) 1618:. (Basic Books, 2005) 900:10.1098/rsbm.1988.0006 703:Acta Crystallographica 686:Acta Crystallographica 463:in 1917, and became a 372:Nobel Prize in Physics 2622:Gregori Aminoff Prize 2418:Molecular replacement 1603:Ewald, P. P., editor 1053:Chapter 4, pp. 37-42. 782:(A. Bonz'erben, 1932) 739:Gregori Aminoff Prize 517:University of MĂĽnster 513:University of Breslau 146:Gregori Aminoff Prize 1928:Structure prediction 1800:Archival collections 1343:Chapter 20, pg. 460. 1105:, 1996, pp. 129-133. 1079:, as had Sommerfeld. 457:Habilitationsschrift 88:University of Munich 2192:Cottrell atmosphere 2172:Partial dislocation 1916:Restriction theorem 1031:Author Index: Ewald 940:1986PhT....39e.101J 834:George Doundoulakis 643:While lecturing at 442:molecular structure 426:British Association 403:Theodore von Kármán 226:Achilles Papapetrou 128:Paul Ewald (father) 2612:Carl Hermann Medal 2423:Molecular dynamics 2270:Defects in diamond 2265:Stone–Wales defect 1911:Reciprocal lattice 1873:Biocrystallography 1492:1999-02-18 at the 1423:(Springer, 1968); 1406:2007-02-20 at the 1382:2005-11-03 at the 1363:2007-09-30 at the 1326:2007-02-20 at the 1129:2007-07-04 at the 1036:2007-02-05 at the 691:Harvard University 622:National Socialism 616:Ewald was elected 593:Ewald construction 2805:Crystallographers 2742: 2741: 2706: 2705: 2313:Thermal ellipsoid 2278: 2277: 2187:Frank–Read source 2147: 2146: 2013:Aperiodic crystal 1979: 1978: 1861:Crystallographers 1753:978-81-308-0370-8 1728:(Springer, 1996) 1714:(Springer, 1996) 1700:(Springer, 2001) 1686:(Springer, 2001) 1672:(Springer, 2001) 1658:(Springer, 2001) 1653:Helmut Rechenberg 1483:Structure Reports 1440:Paul Peter Ewald 1429:978-3-540-04177-1 1259:Paul Peter Ewald 1235:Paul Peter Ewald 1211:Paul Peter Ewald 1187:Paul Peter Ewald 1145:Paul Peter Ewald 949:10.1063/1.2815014 794:Peter Paul Ewald 778:Paul Peter Ewald 757:Paul Peter Ewald 581:quantum mechanics 505:Erwin Schrödinger 422:Bohr atomic model 355:Englischer Garten 347:Arnold Sommerfeld 327:Hermann Minkowski 272:X-ray diffraction 245: 244: 222:Doctoral students 206:Arnold Sommerfeld 164:Scientific career 2812: 2730: 2729: 2718: 2717: 2661: 2584:Kristallografija 2438:Gerchberg–Saxton 2333:Characterisation 2325: 2308:Structure factor 2112: 2097:Ostwald ripening 1934: 1879: 1835: 1828: 1821: 1812: 1724:Reid, Constance 1710:Reid, Constance 1592: 1586: 1577: 1574: 1568: 1558: 1552: 1551: 1549: 1547: 1533: 1527: 1524: 1518: 1515: 1509: 1503: 1497: 1476: 1470: 1458: 1452: 1438: 1432: 1417: 1411: 1398: 1387: 1374: 1368: 1355: 1344: 1337: 1331: 1318: 1312: 1306: 1300: 1290: 1284: 1281: 1275: 1257: 1251: 1233: 1227: 1209: 1203: 1185: 1179: 1172: 1166: 1163: 1157: 1143: 1137: 1121: 1115: 1112: 1106: 1099: 1093: 1086: 1080: 1069: 1063: 1060: 1054: 1047: 1041: 1028: 1019: 1012:Paul Peter Ewald 1009: 1003: 996: 990: 987: 981: 975: 954: 953: 951: 919: 913: 912: 902: 873: 761:(Springer, 1923) 733:Max Planck medal 668:, Ewald wrote a 654:Near the end of 577:matrix mechanics 264:crystallographer 261: 257: 248:Paul Peter Ewald 201:Doctoral advisor 151:Max Planck Medal 109: 60: 39:January 23, 1888 38: 36: 23:Paul Peter Ewald 19: 2820: 2819: 2815: 2814: 2813: 2811: 2810: 2809: 2745: 2744: 2743: 2738: 2702: 2659: 2626: 2598: 2550: 2502: 2473:CrystalExplorer 2449: 2433:Phase retrieval 2396: 2327: 2326: 2317: 2274: 2253:Schottky defect 2152:Perfect crystal 2143: 2139:Abnormal growth 2101: 2087:Supersaturation 2050:Miscibility gap 2031: 2024: 1975: 1932: 1896:Bravais lattice 1877: 1844: 1842:Crystallography 1839: 1802: 1766: 1761: 1600: 1595: 1587: 1580: 1575: 1571: 1559: 1555: 1545: 1543: 1535: 1534: 1530: 1525: 1521: 1516: 1512: 1504: 1500: 1494:Wayback Machine 1487:Strukturbericht 1477: 1473: 1468:Wayback Machine 1459: 1455: 1439: 1435: 1418: 1414: 1408:Wayback Machine 1399: 1390: 1384:Wayback Machine 1375: 1371: 1365:Wayback Machine 1356: 1347: 1338: 1334: 1328:Wayback Machine 1319: 1315: 1307: 1303: 1291: 1287: 1282: 1278: 1258: 1254: 1234: 1230: 1210: 1206: 1186: 1182: 1173: 1169: 1164: 1160: 1144: 1140: 1131:Wayback Machine 1122: 1118: 1113: 1109: 1100: 1096: 1087: 1083: 1070: 1066: 1061: 1057: 1048: 1044: 1038:Wayback Machine 1029: 1022: 1010: 1006: 997: 993: 988: 984: 976: 957: 921: 920: 916: 875: 874: 867: 863: 842: 809:Ewald summation 805: 754: 719: 664:. While at the 645:Duke University 579:formulation of 544:Richard Courant 501: 407:Richard Courant 335:Ernst Hellinger 280: 270:, a pioneer of 259: 255: 180: 176: 154: 149: 137: 114: 110: 105: 104: 100: 98:Ewald summation 86: 82: 71: 62: 58: 57:August 23, 1985 49: 40: 34: 32: 24: 17: 12: 11: 5: 2818: 2816: 2808: 2807: 2802: 2797: 2792: 2787: 2782: 2777: 2772: 2767: 2762: 2757: 2747: 2746: 2740: 2739: 2737: 2736: 2724: 2711: 2708: 2707: 2704: 2703: 2701: 2700: 2695: 2690: 2689: 2688: 2683: 2678: 2667: 2665: 2658: 2657: 2652: 2647: 2642: 2636: 2634: 2628: 2627: 2625: 2624: 2619: 2614: 2608: 2606: 2600: 2599: 2597: 2596: 2591: 2586: 2581: 2576: 2571: 2566: 2560: 2558: 2552: 2551: 2549: 2548: 2543: 2538: 2533: 2528: 2523: 2518: 2512: 2510: 2504: 2503: 2501: 2500: 2495: 2490: 2485: 2480: 2475: 2470: 2465: 2459: 2457: 2451: 2450: 2448: 2447: 2442: 2441: 2440: 2430: 2425: 2420: 2415: 2410: 2408:Direct methods 2404: 2402: 2398: 2397: 2395: 2394: 2393: 2392: 2387: 2377: 2372: 2371: 2370: 2365: 2355: 2354: 2353: 2348: 2337: 2335: 2329: 2328: 2320: 2318: 2316: 2315: 2310: 2305: 2300: 2295: 2293:Ewald's sphere 2290: 2285: 2279: 2276: 2275: 2273: 2272: 2267: 2262: 2261: 2260: 2255: 2245: 2244: 2243: 2238: 2236:Frenkel defect 2233: 2231:Bjerrum defect 2223: 2222: 2221: 2211: 2210: 2209: 2204: 2199: 2197:Peierls stress 2194: 2189: 2184: 2179: 2174: 2169: 2167:Burgers vector 2159: 2157:Stacking fault 2154: 2148: 2145: 2144: 2142: 2141: 2136: 2131: 2126: 2120: 2118: 2116:Grain boundary 2109: 2103: 2102: 2100: 2099: 2094: 2089: 2084: 2079: 2074: 2069: 2064: 2063: 2062: 2060:Liquid crystal 2057: 2052: 2047: 2036: 2034: 2026: 2025: 2023: 2022: 2021: 2020: 2010: 2009: 2008: 1998: 1997: 1996: 1991: 1980: 1977: 1976: 1974: 1973: 1968: 1963: 1958: 1953: 1948: 1942: 1940: 1931: 1930: 1925: 1923:Periodic table 1920: 1919: 1918: 1913: 1908: 1903: 1898: 1887: 1885: 1876: 1875: 1870: 1865: 1864: 1863: 1852: 1850: 1846: 1845: 1840: 1838: 1837: 1830: 1823: 1815: 1809: 1808: 1801: 1798: 1797: 1796: 1790: 1784: 1778: 1772: 1765: 1764:Oral histories 1762: 1760: 1759:External links 1757: 1756: 1755: 1745: 1736: 1722: 1708: 1694: 1680: 1666: 1649:Mehra, Jagdish 1646: 1626: 1610: 1599: 1596: 1594: 1593: 1578: 1569: 1565:New York Times 1553: 1528: 1519: 1510: 1498: 1471: 1453: 1433: 1412: 1388: 1369: 1345: 1332: 1313: 1301: 1285: 1276: 1252: 1228: 1204: 1180: 1167: 1158: 1138: 1116: 1107: 1094: 1092:, 1996, p. 43. 1081: 1064: 1055: 1042: 1020: 1004: 991: 982: 955: 934:(5): 101–104. 914: 864: 862: 859: 858: 857: 841: 838: 837: 836: 831: 826: 821: 816: 814:Ewald's sphere 811: 804: 801: 800: 799: 792: 783: 776: 762: 753: 750: 749: 748: 741: 735: 726: 718: 715: 542:At Göttingen, 500: 497: 472:theta function 438:atomic spectra 286:in Berlin and 279: 276: 243: 242: 239: 238: 233: 229: 228: 223: 219: 218: 213: 209: 208: 203: 197: 196: 191: 185: 184: 171: 167: 166: 160: 159: 143: 139: 138: 136: 135: 129: 125: 123: 119: 118: 102:Ewald's sphere 95: 94:Known for 91: 90: 77: 73: 72: 63: 61:(aged 97) 55: 51: 50: 41: 30: 26: 25: 22: 15: 13: 10: 9: 6: 4: 3: 2: 2817: 2806: 2803: 2801: 2798: 2796: 2793: 2791: 2788: 2786: 2783: 2781: 2778: 2776: 2773: 2771: 2768: 2766: 2763: 2761: 2758: 2756: 2753: 2752: 2750: 2735: 2734: 2725: 2723: 2722: 2713: 2712: 2709: 2699: 2696: 2694: 2691: 2687: 2684: 2682: 2679: 2677: 2674: 2673: 2672: 2669: 2668: 2666: 2662: 2656: 2653: 2651: 2648: 2646: 2643: 2641: 2638: 2637: 2635: 2633: 2629: 2623: 2620: 2618: 2615: 2613: 2610: 2609: 2607: 2605: 2601: 2595: 2592: 2590: 2587: 2585: 2582: 2580: 2577: 2575: 2572: 2570: 2567: 2565: 2562: 2561: 2559: 2557: 2553: 2547: 2544: 2542: 2539: 2537: 2534: 2532: 2529: 2527: 2524: 2522: 2519: 2517: 2514: 2513: 2511: 2509: 2505: 2499: 2496: 2494: 2491: 2489: 2486: 2484: 2481: 2479: 2476: 2474: 2471: 2469: 2466: 2464: 2461: 2460: 2458: 2456: 2452: 2446: 2443: 2439: 2436: 2435: 2434: 2431: 2429: 2428:Patterson map 2426: 2424: 2421: 2419: 2416: 2414: 2411: 2409: 2406: 2405: 2403: 2399: 2391: 2388: 2386: 2383: 2382: 2381: 2378: 2376: 2373: 2369: 2366: 2364: 2361: 2360: 2359: 2356: 2352: 2349: 2347: 2344: 2343: 2342: 2339: 2338: 2336: 2334: 2330: 2324: 2314: 2311: 2309: 2306: 2304: 2301: 2299: 2298:Friedel's law 2296: 2294: 2291: 2289: 2286: 2284: 2281: 2280: 2271: 2268: 2266: 2263: 2259: 2256: 2254: 2251: 2250: 2249: 2246: 2242: 2241:Wigner effect 2239: 2237: 2234: 2232: 2229: 2228: 2227: 2226:Interstitials 2224: 2220: 2217: 2216: 2215: 2212: 2208: 2205: 2203: 2200: 2198: 2195: 2193: 2190: 2188: 2185: 2183: 2180: 2178: 2175: 2173: 2170: 2168: 2165: 2164: 2163: 2160: 2158: 2155: 2153: 2150: 2149: 2140: 2137: 2135: 2132: 2130: 2127: 2125: 2122: 2121: 2119: 2117: 2113: 2110: 2108: 2104: 2098: 2095: 2093: 2090: 2088: 2085: 2083: 2080: 2078: 2075: 2073: 2072:Precipitation 2070: 2068: 2065: 2061: 2058: 2056: 2053: 2051: 2048: 2046: 2043: 2042: 2041: 2040:Phase diagram 2038: 2037: 2035: 2033: 2027: 2019: 2016: 2015: 2014: 2011: 2007: 2004: 2003: 2002: 1999: 1995: 1992: 1990: 1987: 1986: 1985: 1982: 1981: 1972: 1969: 1967: 1964: 1962: 1959: 1957: 1954: 1952: 1949: 1947: 1944: 1943: 1941: 1939: 1935: 1929: 1926: 1924: 1921: 1917: 1914: 1912: 1909: 1907: 1904: 1902: 1899: 1897: 1894: 1893: 1892: 1889: 1888: 1886: 1884: 1880: 1874: 1871: 1869: 1866: 1862: 1859: 1858: 1857: 1854: 1853: 1851: 1847: 1843: 1836: 1831: 1829: 1824: 1822: 1817: 1816: 1813: 1807: 1804: 1803: 1799: 1794: 1791: 1788: 1785: 1782: 1779: 1776: 1773: 1771: 1768: 1767: 1763: 1758: 1754: 1750: 1746: 1743: 1742: 1737: 1735: 1734:0-387-94674-8 1731: 1727: 1723: 1721: 1720:0-387-94670-5 1717: 1713: 1709: 1707: 1706:0-387-95180-6 1703: 1699: 1695: 1693: 1692:0-387-95179-2 1689: 1685: 1681: 1679: 1678:0-387-95175-X 1675: 1671: 1667: 1665: 1664:0-387-95174-1 1661: 1657: 1654: 1650: 1647: 1645: 1644:0-226-41585-6 1641: 1637: 1633: 1632: 1627: 1625: 1624:0-7382-0693-8 1621: 1617: 1616: 1611: 1608: 1607: 1602: 1601: 1597: 1590: 1585: 1583: 1579: 1573: 1570: 1566: 1562: 1557: 1554: 1542: 1538: 1532: 1529: 1523: 1520: 1514: 1511: 1507: 1502: 1499: 1495: 1491: 1488: 1484: 1480: 1475: 1472: 1469: 1465: 1462: 1457: 1454: 1450: 1447: 1443: 1437: 1434: 1430: 1426: 1422: 1416: 1413: 1409: 1405: 1402: 1397: 1395: 1393: 1389: 1385: 1381: 1378: 1373: 1370: 1366: 1362: 1359: 1354: 1352: 1350: 1346: 1342: 1336: 1333: 1329: 1325: 1322: 1317: 1314: 1310: 1305: 1302: 1298: 1295: 1292:Max Born and 1289: 1286: 1280: 1277: 1273: 1269: 1266: 1262: 1256: 1253: 1249: 1245: 1242: 1238: 1232: 1229: 1225: 1221: 1218: 1214: 1208: 1205: 1201: 1197: 1194: 1190: 1184: 1181: 1177: 1171: 1168: 1162: 1159: 1155: 1152: 1148: 1142: 1139: 1136: 1132: 1128: 1125: 1120: 1117: 1111: 1108: 1104: 1098: 1095: 1091: 1085: 1082: 1078: 1074: 1068: 1065: 1059: 1056: 1052: 1046: 1043: 1039: 1035: 1032: 1027: 1025: 1021: 1017: 1013: 1008: 1005: 1001: 995: 992: 986: 983: 979: 974: 972: 970: 968: 966: 964: 962: 960: 956: 950: 945: 941: 937: 933: 929: 928:Physics Today 925: 918: 915: 910: 906: 901: 896: 892: 888: 887: 882: 878: 872: 870: 866: 860: 855: 851: 847: 844: 843: 839: 835: 832: 830: 827: 825: 822: 820: 817: 815: 812: 810: 807: 806: 802: 797: 793: 790: 789: 784: 781: 777: 774: 771: 767: 763: 760: 756: 755: 751: 746: 742: 740: 736: 734: 731: 727: 725: 721: 720: 716: 714: 712: 707: 705: 704: 699: 694: 692: 688: 687: 682: 678: 673: 671: 667: 663: 662: 657: 652: 650: 646: 641: 639: 635: 631: 627: 623: 619: 614: 612: 608: 607: 600: 598: 594: 590: 586: 585:Schrödinger’s 583:and also for 582: 578: 575: 571: 566: 564: 559: 557: 553: 549: 545: 540: 537: 535: 531: 530: 525: 520: 518: 514: 511:to go to the 510: 506: 498: 496: 494: 490: 486: 482: 478: 473: 468: 466: 462: 458: 454: 450: 445: 443: 439: 435: 431: 427: 423: 419: 415: 410: 408: 404: 400: 396: 392: 387: 385: 381: 375: 373: 369: 365: 360: 356: 351: 348: 345:(LMU), under 344: 340: 336: 332: 328: 324: 323:David Hilbert 320: 316: 312: 308: 304: 300: 296: 291: 289: 285: 277: 275: 273: 269: 265: 253: 249: 240: 237: 234: 230: 227: 224: 220: 217: 216:David Hilbert 214: 210: 207: 204: 202: 198: 195: 192: 190: 186: 183: 179: 175: 172: 168: 165: 161: 157: 152: 147: 144: 140: 133: 130: 127: 126: 124: 120: 117: 113: 108: 103: 99: 96: 92: 89: 85: 81: 78: 74: 70: 66: 56: 52: 48: 44: 31: 27: 20: 2731: 2719: 2664:Associations 2632:Organisation 2124:Disclination 2055:Polymorphism 2018:Quasicrystal 1961:Orthorhombic 1901:Miller index 1849:Key concepts 1795:- Session II 1783:- Session II 1739: 1725: 1711: 1697: 1683: 1669: 1655: 1635: 1634:. Volume 2: 1629: 1613: 1605: 1572: 1564: 1556: 1544:. Retrieved 1540: 1531: 1522: 1513: 1506:Adolf Hitler 1501: 1482: 1478: 1474: 1456: 1448: 1445: 1441: 1436: 1420: 1415: 1372: 1340: 1335: 1316: 1304: 1296: 1288: 1279: 1267: 1264: 1260: 1255: 1243: 1240: 1236: 1231: 1219: 1216: 1212: 1207: 1195: 1192: 1188: 1183: 1175: 1170: 1161: 1153: 1150: 1146: 1141: 1134: 1119: 1110: 1102: 1097: 1089: 1084: 1067: 1058: 1050: 1045: 1015: 1007: 999: 994: 985: 931: 927: 917: 890: 884: 877:Bethe, H. A. 849: 840:Bibliography 829:Pendellösung 795: 787: 779: 772: 758: 708: 701: 695: 684: 677:World War II 674: 669: 659: 656:World War II 653: 642: 626:Dozentenbund 615: 610: 604: 601: 597:Ewald sphere 567: 560: 555: 551: 541: 538: 527: 521: 502: 484: 469: 465:Privatdozent 461:Habilitation 446: 434:Bohr’s model 430:James Jeans’ 411: 399:Privatdozent 390: 388: 380:Alfred LandĂ© 376: 368:Max von Laue 363: 359:Max von Laue 354: 352: 338: 330: 292: 281: 247: 246: 236:Carl Hermann 193: 170:Institutions 163: 116:Pendellösung 59:(1985-08-23) 2760:1985 deaths 2755:1888 births 2617:Ewald Prize 2385:Diffraction 2363:Diffraction 2346:Diffraction 2288:Bragg plane 2283:Bragg's law 2162:Dislocation 2077:Segregation 1989:Crystallite 1906:Point group 1789:- Session I 1777:- Session I 1589:Ewald Prize 893:: 135–176. 743:1986 – The 630:Clara Ewald 563:eigenvalues 522:From 1922, 481:Peter Debye 449:World War I 391:El BoKaReBo 374:, in 1914. 331:Ausarbeiter 319:Felix Klein 303:mathematics 132:Clara Ewald 2749:Categories 2401:Algorithms 2390:Scattering 2368:Scattering 2351:Scattering 2219:Slip bands 2182:Cross slip 2032:transition 1966:Tetragonal 1956:Monoclinic 1868:Metallurgy 1598:References 1561:Hans Bethe 1461:Ewaldkugle 1446:Naturwiss. 1265:Ann. Phys. 1241:Ann. Phys. 1217:Ann. Phys. 1193:Ann. Phys. 998:Constance 980:– Memorial 766:J. Dougall 649:Hans Bethe 570:Heisenberg 552:Lesezimmer 546:had taken 524:Erwin Fues 477:Mittenwald 414:Niels Bohr 339:Lesezimmer 35:1888-01-23 2508:Databases 1971:Triclinic 1951:Hexagonal 1891:Unit cell 1883:Structure 1294:Kun Huang 1151:Phys. Zs. 647:in 1937, 634:Cambridge 548:Hilbert’s 493:Kun Huang 311:Cambridge 299:chemistry 284:Gymnasium 278:Education 274:methods. 268:physicist 76:Education 2721:Category 2556:Journals 2488:OctaDist 2483:JANA2020 2455:Software 2341:Electron 2258:F-center 2045:Eutectic 2006:Fiveling 2001:Twinning 1994:Equiaxed 1490:Archived 1464:Archived 1404:Archived 1380:Archived 1361:Archived 1324:Archived 1127:Archived 1034:Archived 803:See also 595:and the 489:Max Born 395:Max Born 384:Max Born 254:(January 156:ForMemRS 134:(mother) 69:New York 2733:Commons 2681:Germany 2358:Neutron 2248:Vacancy 2107:Defects 2092:GP-zone 1938:Systems 1726:Hilbert 1712:Courant 1485:. See 1103:Hilbert 1090:Courant 1075:at the 1002:p. 109. 1000:Hilbert 936:Bibcode 856:, 1992) 737:1979 – 728:1978 – 722:1958 – 447:During 295:physics 288:Potsdam 122:Parents 47:Germany 2676:France 2671:Europe 2604:Awards 2134:Growth 1984:Growth 1751:  1732:  1718:  1704:  1690:  1676:  1662:  1651:, and 1642:  1622:  1427:  1339:Ewald 1174:Ewald 1049:Ewald 909:770049 907:  717:Honors 618:Rector 589:eponym 499:Career 487:, by 325:, and 301:, and 260:  256:  189:Thesis 158:(1958) 153:(1978) 148:(1979) 142:Awards 65:Ithaca 43:Berlin 2698:Japan 2645:IOBCr 2498:SHELX 2493:Olex2 2380:X-ray 2030:Phase 1946:Cubic 1546:9 May 1401:Ewald 1377:Ewald 1358:Ewald 1321:Ewald 1309:Ewald 1272:Ewald 1248:Ewald 1224:Ewald 1200:Ewald 1101:Reid 1088:Reid 978:Ewald 905:JSTOR 861:Notes 752:Books 503:When 491:and 2640:IUCr 2541:ICDD 2536:ICSD 2521:CCDC 2468:Coot 2463:CCP4 2214:Slip 2177:Kink 1749:ISBN 1730:ISBN 1716:ISBN 1702:ISBN 1688:ISBN 1674:ISBN 1660:ISBN 1640:ISBN 1620:ISBN 1548:2021 1425:ISBN 1124:Bohr 768:and 574:Born 266:and 54:Died 29:Born 2655:DMG 2650:RAS 2546:PDB 2531:COD 2526:CIF 2478:DSR 2202:GND 2129:CSL 944:doi 895:doi 591:of 397:(a 309:in 305:at 252:FRS 2751:: 2693:US 2686:UK 1581:^ 1563:, 1539:. 1449:13 1444:, 1391:^ 1348:^ 1268:54 1263:, 1244:49 1239:, 1220:49 1215:, 1196:64 1191:, 1154:14 1149:, 1133:- 1023:^ 958:^ 942:. 932:39 930:. 926:. 903:. 891:34 889:. 883:. 868:^ 693:. 495:. 444:. 321:, 297:, 250:, 67:, 45:, 1834:e 1827:t 1820:v 1550:. 1496:. 1431:. 1018:. 952:. 946:: 938:: 911:. 897:: 852:( 572:- 37:) 33:(

Index

Berlin
Germany
Ithaca
New York
University of Cambridge
University of Göttingen
University of Munich
Ewald summation
Ewald's sphere
Ewald–Oseen extinction theorem
Multiple scattering theory
Pendellösung
Clara Ewald
Gregori Aminoff Prize
Max Planck Medal
ForMemRS
Technische Hochschule Stuttgart
Queen's University Belfast
Polytechnic Institute of Brooklyn
Thesis
Doctoral advisor
Arnold Sommerfeld
David Hilbert
Achilles Papapetrou
Carl Hermann
FRS
crystallographer
physicist
X-ray diffraction
Gymnasium

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