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283:(1842–1897) had previously derived the 65 chiral space groups (i.e. those lacking an inversion center, mirror planes, or improper axes of rotation that invert the handedness of a crystal). The mathematical descriptions of the complete set of 230 space groups, including their symmetry elements, were thereafter derived independently by
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By Groth's time, Dalton's atomic theory was already well established. In 1888, Groth was the first to suggest the possibility that spherical atoms reside at equivalent positions of space lattices, which gave a physical significance to this still somewhat abstract idea of the regular and symmetric
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Ueber die
Molekularbeschaffenheit der Krystalle. Festrede gehalten in der öffentlichen Sitzung der k.b. Akademie der Wissenschaften zu München zur Feier des einhundert und neunundzwanzigsten Stiftungstages am 28 März
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265:(1876-1895, ed. 4, 1905), the latter of which was influential with the acceptance of crystallographic methods in the field of organic chemistry. In 1877 he founded the journal
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178:. His most important contribution to science was his systematic classification of minerals based on their chemical compositions and crystal structures.
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Physikalische
Krystallographie und Einleitung in die krystallographische Kenntniss der wichtigsten Subtanzen
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which contained crystalline morphology and physical property data on thousands of substances.
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The
Analytical Expression of the Results of the Theory of Space Groups
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Corresponding members of the Saint
Petersburg Academy of Sciences
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Honorary members of the
Russian Academy of Sciences (1917–1925)
337:Ăśber das studium der Mineralogie auf den Deutschen Hochschulen
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Foreign associates of the
National Academy of Sciences
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Members of the Royal
Society of Sciences in Uppsala
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268:Zeitschrift fĂĽr Krystallographie und Mineralogie
259:Tabellarische Ăśbersicht der einfachen Mineralien
218:, in 1872 he became professor of mineralogy at
462:Academic staff of the University of Strasbourg
174:(23 June 1843 – 2 December 1927) was a German
35:Paul Heinrich von Groth (1910); photograph by
279:partitioning of space. The German physicist
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388:(11th ed.). Cambridge University Press.
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414:(1st ed.). New York: Dodd, Mead.
249:He carried out extensive research on
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339:(London, TrĂĽbner & Co, 1875)
190:Paul Heinrich von Groth, c. 1898
16:German mineralogist (1843–1927)
411:New International Encyclopedia
263:Physikalische Krystallographie
172:Paul Heinrich Ritter von Groth
23:Paul Heinrich Ritter von Groth
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136:Other academic advisors
273:Chemische Kristallographie,
156:Other notable students
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253:and minerals, and also on
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380:Groth, Paul Heinrich von
447:Wollaston Medal winners
385:Encyclopædia Britannica
257:. von Groth published
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130:Heinrich Gustav Magnus
106:Freiberg mining school
320:(R. Oldenbourg, 1921)
295:. Finally, in 1922,
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442:German mineralogists
326:(W. Engelmann, 1905)
216:University of Berlin
118:University of Munich
110:University of Berlin
89:University of Berlin
405:"Groth, Paul"
198:, and educated at
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96:Scientific career
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102:Institutions
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237:He died in
214:and at the
140:Gustav Rose
426:Categories
344:References
285:Schönflies
220:Strasbourg
114:Strasbourg
50:1843-06-23
312:as author
299:authored
196:Magdeburg
182:Biography
85:Education
79:, Germany
60:, Germany
58:Magdeburg
251:crystals
224:minerals
200:Freiberg
373::
289:Fedorov
226:in the
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239:Munich
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208:Berlin
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255:rocks
331:1888
245:Work
206:and
66:Died
44:Born
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230:in
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48:(
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