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Ernst Abbe

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2323: 354: 49: 506:, which he refused due to his ties to Zeiss. Abbe was in the camp of the wide aperturists, arguing that microscopic resolution is ultimately limited by the aperture of the optics, but also argued that depending on application there are other parameters that should be weighted over the aperture in the design of objectives. In Abbe's 1874 paper, titled "A Contribution to the Theory of the Microscope and the nature of Microscopic Vision", Abbe states that the resolution of a microscope is inversely dependent on its aperture, but without proposing a formula for the resolution limit of a microscope. 362: 276:, to Georg Adam Abbe and Elisabeth Christina Barchfeldt. He came from a humble home – his father was a foreman in a spinnery. Supported by his father's employer, Abbe was able to attend secondary school and to obtain the general qualification for university entrance with fairly good grades, at the Eisenach Gymnasium, which he graduated from in 1857. By the time he left school, his scientific talent and his strong will had already become obvious. Thus, in spite of the family's strained financial situation, his father decided to support Abbe's studies at the Universities of 393:, which he described in a booklet published in 1874. He developed the laws of image of non-luminous objects by 1872. Zeiss Optical Works began selling his improved microscopes in 1872, by 1877 they were selling microscopes with homogenous immersion objective, and in 1886 his apochromatic objective microscopes were being sold. He created the 346: 1631:
The dates of his job appointments at the University of Jena, including his appointment as director of the Jena Observatory has some uncertainty, as sources give different dates, as following. 1870: assistant lecturer on mechanics and experimental physics; 1873: associate professor; 1877: director of
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were published by others, it is fair to say that Abbe was the first to reach this conclusion experimentally. In 1878, he built the first homogenous immersion system for the microscope. The objectives that the Abbe Zeiss collaboration were producing were of ideal ray geometry, allowing Abbe to find
1763:
Joseph McCabe (1945). A Biographical Dictionary of Ancient, Medieval, and Modern Freethinkers. Haldeman-Julius Publications. Retrieved 7 April 2013. He was not only a distinguished German physicist and one of the most famous inventors on the staff at the Zeiss optical works at Jena but a notable
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for research in science. The aim of the foundation was "to secure the economic, scientific, and technological future and in this way to improve the job security of their employees." He made it a point that the success of an employee was based solely on their ability and performance, not on their
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social reformer, By a generous scheme of profit-sharing he virtually handed over the great Zeiss enterprise to the workers. Abbe was an intimate friend of Haeckel and shared his atheism (or Monism). Leonard Abbot says in his life of Ferrer that Abbe had "just the same ideas and aims as Ferrer."
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Abbe was a pioneer in optics, lens design, and microscopy, and an authority of his time. He left us with numerous publications of his findings, inventions, and discoveries. Below is a list of publications he authored including many links to the scanned Google Books pages.
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and Abbe's criterion, which tests the hypothesis, that a systematic trend exists in a set of observations (in terms of resolving power this criterion stipulates that an angular separation cannot be less than the ratio of the wavelength to the aperture diameter, see
573:. In addition to spherical aberration, Abbe discovered that the rays in optical systems must have constant angular magnification over their angular distribution to produce a diffraction limited spot, a principle known as the 328:
in Jena. In 1871, he married Else Snell, daughter of the mathematician and physicist Karl Snell, one of Abbe's teachers, with whom he had two daughters. He attained full professor status by 1879. He became director of the
1246: 1109: 2436: 337:. He also was a member of the Saxon Academy of Sciences. He was relieved of his teaching duties at the University of Jena in 1891. Abbe died 14 January 1905 in Jena. He was an atheist. 476: 621:
origin, religion, or political views. In 1896, he reorganized the Zeiss optical works into a cooperative with profit-sharing. His social views were so respected as to be used by the
1384: 1987: 1296: 616:, in remembrance of the 14-hour workday of his own father. In addition, he created a pension fund and a discharge compensation fund. In 1889, Ernst Abbe set up and endowed the 548:. This company, which in time would in essence merge with Zeiss Optical Works, was responsible for research and production of 44 initial types of optical glass. Working with 762: 1926: 745: 854: 1271: 312:
in 1824 and still exists today). On 8 August 1863 he qualified as a university lecturer at the University of Jena. In 1870, he accepted a contract as an associate
2147: 1805: 697: 528:. Abbe's contemporary Henry Edward Fripp, English translator of Abbe's and Helmholtz's papers, puts their contributions on equal footing. He also perfected the 1346: 284:(1859–1861). During his time as a student, Abbe gave private lessons to improve his income. His father's employer continued to fund him. Abbe was awarded his 2441: 2218: 1960: 1212: 1187: 1160: 1126: 1075: 1058: 1041: 982: 893: 999: 2396: 1024: 2386: 969: 956: 2148:
Joint Committee of Civil Engineers; American Congress on Surveying and Mapping & American Society for Photogrammetry and Remote Sensing (1994).
1092: 1522: 1229: 537: 829: 804: 2254: 2175:
Pfeiffer, Wolfgang (1991). "Carl-Zeiss-Stiftung". In Hast, Adele; Pascal, Diane B.; Berney, Kate; Barbour, Philippe A.; Griffin, Jessica (eds.).
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Joint Committee of Civil Engineers, American Congress on Surveying and Mapping & American Society for Photogrammetry and Remote Sensing 1994
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In 1876, Abbe was offered a partnership by Zeiss and began to share in the considerable profits. Although the first theoretical derivations of
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that the aperture sets the upper limit of microscopic resolution, not the curvature and placement of the lenses. Abbe's first publication of
2411: 2406: 1943: 787: 429:, as the sine of the half angle multiplied by the refractive index of the medium filling the space between the cover glass and front lens. 197: 2371: 334: 2466: 2461: 931: 906: 2381: 2289: 867: 2421: 2376: 240:(23 January 1840 – 14 January 1905) was a German businessman, optical engineer, physicist, and social reformer. Together with 252:, a German manufacturer of scientific microscopes, astronomical telescopes, planetariums, and other advanced optical systems. 2184: 2157: 2130: 2072: 2043: 1875: 2346: 2471: 2063: 609: 522:
occurred in 1882. In this publication, Abbe states that both his theoretical and experimental investigations confirmed
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Abbe is credited by many for discovering the resolution limit of the microscope, and the formula (published in 1873)
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In order to produce high quality objectives, Abbe made significant contributions to the diagnosis and correction of
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to improve the manufacturing process of optical instruments, which back then was largely based on trial and error.
2247: 2179:. Vol. III: Health & Personal Care Products – Materaials. Chicago, IL: St James Press. pp. 445–447. 1587: 529: 385:, a microscope lens which eliminates both the primary and secondary color distortion. By 1870, Abbe invented the 17: 2210: 440: 353: 2456: 2391: 2304: 1567: 932:"On New Methods for Improving Spherical Correction applied to the Construction of Wide-angled Object-glasses" 2342: 2036:
World Who's Who in Science: A Biographical Dictionary of Notable Scientists from Antiquity to the Present
664: 2451: 309: 2258: 1929:[New Equipment for Determining the Refraction and Dispersion Property of Solids and Liquids]. 1433:——; Rudolph, P. (1897). "Anamorphotisches Linsensystem" [Anamorphic Lens System]. 748:[New Equipment for Determining the Refraction and Dispersion Property of Solids and Liquids]. 281: 117: 2416: 608:
works, not only was he at the forefront of the field of optics but also labor reform. He founded the
582: 1151: 2401: 2294: 1532: 210: 2067:. Vol. I: Pierre Abailard – L. S. Berg. New York, NY: Charles Scribner's Sons. pp. 6–9. 1927:"Neue Apparate zur Bestimmung des Brechungs und Zerstreuungsvermögens fester und flĂĽssiger Körper" 746:"Neue Apparate zur Bestimmung des Brechungs und Zerstreuungsvermögens fester und flĂĽssiger Körper" 2431: 1398:—— (1890). "Messapparate fĂĽr Physiker" [Measuring Equipment for Physicists]. 830:"Extracts from Dr. H. E. Fripp's Translation of Professor Abbe's Paper on the Microscope (Cont.)" 2446: 2426: 2309: 590: 2284: 1557: 1138: 617: 502:, who had died 61 years prior. Helmholtz was so impressed as to offer a professorship at the 499: 398: 2028:
Debus, Allen G.; Calinger, Ronald S.; Collins, Edward J.; Kennedy, Stephen J., eds. (1968).
2366: 2361: 1572: 1562: 972:[The Determination of the Refractive Ratios of Solids by Means of Refractometers]. 560: 503: 293: 285: 273: 192: 73: 970:"Ăśber die Bestimmung der Brechungs-Verhältnisse fester Körper mittelst des Refractometers" 8: 2280: 1597: 1552: 805:"Extracts from Dr. H. E. Fripp's Translation of Professor Abbe's Paper on the Microscope" 594: 574: 361: 167: 2125:. Vol. I: A-Ak – Bayes (15th ed.). Chicago, IL: Encyclopædia Britannica, Inc. 48: 2117: 2107: 2030: 2003: 1977: 1592: 1582: 1547: 1454:] (in German). 5 volumes, released from 1904 until 1940. New York, NY: Hildesheim. 1362: 1337: 1312: 1287: 1262: 1203: 1188:"On the Conditions of Orthoscopic and Pseudoscopic Effects in the Binocular Microscope" 1177: 1015: 947: 922: 845: 820: 778: 725: 700:[Contributions to the Theory of the Microscope and of Microscopic Perception]. 684: 556: 426: 411: 277: 177: 138: 122: 297: 2318: 2190: 2180: 2163: 2153: 2136: 2126: 2078: 2068: 2049: 2039: 2016: 1944:"A Contribution to the Theory of the Microscope and the Nature of Microscopic Vision" 1871: 1497: 1476: 1455: 959:[The Determination of Time and Latitude Observations Made in Höhenparallen]. 788:"A Contribution to the Theory of the Microscope and the Nature of Microscopic Vision" 729: 717: 688: 305: 308:(an association of citizens interested in physics and chemistry that was founded by 2327: 2103: 1999: 1972: 1358: 1333: 1308: 1283: 1258: 1199: 1172: 1011: 943: 918: 841: 816: 774: 709: 676: 402: 330: 289: 184: 631:
Schriften der Heidelberger Aktionsgruppe zur Demokratie und Zum Freien Sozialismus
2338: 1865: 1321: 564: 1322:"Note on the Proper Definition of the Amplifying Power of a Lens or Lens-System" 357:
The resolution limit formula engraved in an Ernst Abbe memorial in Jena, Germany
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GĂĽnther, Norbert (1970). "Abbe, Ernst". In Gillispie, Charles Coulston (ed.).
2355: 2332: 957:"Über die Bestimmung von Zeit und Polhöhe aus Beobachtungen in Höhenparallen" 721: 641: 578: 390: 378: 249: 220: 95: 2300: 577:. So monumental and advanced were Abbe's calculations and achievements that 1954:. Translated by Fripp, H. E. London, UK: Williams & Northgate: 200–261. 1577: 907:"On Stephenson's System of Homogeneous Immersion for Microscope Objectives" 798:. Translated by Fripp, H. E. London, UK: Williams & Northgate: 200–261. 626: 1426:
Motives and Explanations on the Draft Statute of the Carl Zeiss Foundation
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Motive und Erläuterungen zum Entwurf eines Statuts der Carl Zeiss-Stiftung
1537: 1386:Über Verbesserungen des Mikroscope mit Hilfe neuer Arten optischen Glases 698:"Beiträge zur Theorie des Mikroskops und der mikroskopischen Wahrnehmung" 586: 541: 394: 325: 301: 241: 143: 345: 1542: 1527: 713: 680: 635:
Writings of the Heidelberg Action Group on Democracy and Free Socialism
605: 601: 419: 406: 382: 248:, he developed numerous optical instruments. He was also a co-owner of 245: 567:, which is required for an objective to reach the resolution limit of 2273: 1391:
About Enhancements of the Microscope Using New Types of Optical Glass
883:[The Conditions Under Which Aplanatism of the Lens Systems]. 549: 545: 495: 321: 313: 288:
in Göttingen on 23 March 1861. While at school, he was influenced by
2091: 857:[About Micrometric Measurement by Means of Optical Images]. 389:, used for microscope illumination. In 1871, he designed the first 269: 69: 2140: 1988:"The Relation of Aperture and Power in the Microscope (continued)" 1297:"The Relation of Aperture and Power in the Microscope (continued)" 1272:"The Relation of Aperture and Power in the Microscope (continued)" 612:
Jenaische Zeitung (newspaper) in 1890 and in 1900, introduced the
622: 317: 236: 163: 39: 2194: 2167: 2082: 2053: 2020: 1501: 1480: 1459: 667:[About a New Illumination Apparatus to the Microscope]. 1103:. Munich, Germany: Druck und Verlag Von R. Oldenbourg: 197–224. 887:(in German). Jena, Germany: Verlag Von Gustav Fischer: 129–142. 533: 369: 27:
German physicist, entrepreneur, and social reformer (1840–1905)
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the Jena Observatory meteorological and astronomy departments.
1475:] (in German). Braunschweig, Germany: F. Vieweg und Sohn. 900:(in German). Jena, Germany: Verlag Von Gustav Fischer: 71–109. 874:(in German). Jena, Germany: Verlag Von Gustav Fischer: 98–105. 708:(1). Bonn, Germany: Verlag von Max Cohen & Sohn: 413–468. 300:. This was followed by two short assignments at the Göttingen 1097:
Repertorium fĂĽr Experimental-Physik fĂĽr Physikalische Technik
976:(in German). Jena, Germany: Verlag Von Gustav Fischer: 35–44. 963:(in German). Jena, Germany: Verlag Von Gustav Fischer: 57–66. 861:(in German). Jena, Germany: Verlag Von Gustav Fischer: 11–17. 260: 2437:
Members of the Göttingen Academy of Sciences and Humanities
2027: 1694: 675:. Bonn, Germany: Verlag von Max Cohen & Sohn: 469–480. 645: 415: 91: 2092:"On the Limits of the Optical Capacity of the Microscope" 1059:"Illumination for Binocular Microscopes with High Powers" 881:"Über die Bedingungen des Aplanatismus der Linsensysteme" 1347:"On the Mode of Vision with Objectives of Wide Aperture" 1127:"Conditions of Microstereoscopic Vision – "Penetration"" 1095:[Description of a New Stereoscopic Eye-piece]. 855:"Über mikrometrische Messung mittelst optischer Bilder" 2274:
Basic Principles of Refractometers (and Polarimeters)
1247:"The Relation of Aperture and Power in the Microscope" 2152:. New York, NY: American Society of Civil Engineers. 2090:
Helmholtz, Hermann; Fripp, Henry Edward (July 1876).
2015:(in German). Berlin, Germany: Duncker & Humblot. 443: 1467:——; Lummer, Otto; Reiche, Fritz (1910). 815:(4). London, UK: Williams & Northgate: 191–201. 1093:"Beschreibung eines neuen stereoskopischen Oculars" 905:—— (11 June 1879). Crisp, Frank (ed.). 665:"Ăśber einen neuen Beleuchtungsapparat am Mikroskop" 349:
Microscope by Carl Zeiss (1879) with optics by Abbe
2116: 2029: 1998:(1). London, UK: Williams & Norgate: 790–812. 1971:(3). London, UK: Williams & Norgate: 388–423. 1496:] (in German). Jena, Germany: Gustav Fischer. 1413:Double Prism for Totally-Reflecting Refractometers 1332:(1). London, UK: Williams & Norgate: 348–351. 1307:(1). London, UK: Williams & Norgate: 790–812. 1282:(1). London, UK: Williams & Norgate: 460–473. 1257:(3). London, UK: Williams & Norgate: 300–309. 1198:(2). London, UK: Williams & Norgate: 203–211. 1171:(3). London, UK: Williams & Norgate: 388–423. 1025:"Conditions of Aplanatism for Wide-angled Pencils" 942:(7). London, UK: Williams & Norgate: 812–824. 917:(3). London, UK: Williams & Norgate: 256–265. 470: 2278: 1961:"On the Estimation of Aperture in the Microscope" 1161:"On the Estimation of Aperture in the Microscope" 896:[Beyond the Limits of Geometric Optics]. 840:. London, UK: Williams & Northgate: 245–254. 763:"A New Illuminating Apparatus for the Microscope" 2353: 1357:(1). London, UK: Williams & Norgate: 20–27. 331:Jena astronomical and meteorological observatory 1948:Proceedings of the Bristol Naturalists' Society 1622:Some sources give his wife's name as Elisabeth. 1473:The Theory of Image Formation in the Microscope 983:"Conditions on Aplanatism of Systems of Lenses" 792:Proceedings of the Bristol Naturalists' Society 2252: 2089: 1830: 1240:. London, UK: Williams & Norgate: 693–696. 1223:. London, UK: Williams & Norgate: 298–299. 1133:. London, UK: Williams & Norgate: 680–689. 1120:. London, UK: Williams & Norgate: 131–134. 1086:. London, UK: Williams & Norgate: 831–832. 1069:. London, UK: Williams & Norgate: 690–692. 993:. London, UK: Williams & Norgate: 509–515. 377:In 1866, he became a research director at the 2233:Volkmann, Harald. "Ernst Abbe and his work." 1469:Die Lehre von der Bildentstehung im Mikroskop 1370:—— (1886). "The new microscope". 1345:—— (1884). —— (ed.). 1320:—— (1884). —— (ed.). 1295:—— (1883). —— (ed.). 1270:—— (1882). —— (ed.). 1245:—— (1882). —— (ed.). 1228:—— (1882). —— (ed.). 1211:—— (1881). —— (ed.). 1186:—— (1881). —— (ed.). 1159:—— (1881). —— (ed.). 1125:—— (1881). —— (ed.). 1108:—— (1881). —— (ed.). 1074:—— (1881). —— (ed.). 1057:—— (1881). —— (ed.). 1040:—— (1881). —— (ed.). 1023:—— (1880). —— (ed.). 1010:. London, UK: Williams & Norgate: 20–31. 998:—— (1880). —— (ed.). 930:—— (1879). —— (ed.). 828:—— (1875). —— (ed.). 803:—— (1875). —— (ed.). 552:, he built an image reversal system in 1895. 2177:International Directory of Company Histories 786:—— (1876). Lawson, Henry (ed.). 593:used them to work on the development of the 333:in 1878. In 1889, he became a member of the 2442:Members of the Prussian Academy of Sciences 2011:Blasius, Ewald (1953). "Abbe, Ernst Carl". 1931:Jenaische Zeitschrift fĂĽr Naturwissenschaft 981:—— (1880). Crisp, Frank (ed.). 974:Jenaische Zeitschrift fĂĽr Naturwissenschaft 961:Jenaische Zeitschrift fĂĽr Naturwissenschaft 898:Jenaische Zeitschrift fĂĽr Naturwissenschaft 885:Jenaische Zeitschrift fĂĽr Naturwissenschaft 872:Jenaische Zeitschrift fĂĽr Naturwissenschaft 859:Jenaische Zeitschrift fĂĽr Naturwissenschaft 750:Jenaische Zeitschrift fĂĽr Naturwissenschaft 585:work on them, for which he was awarded the 335:Bavarian Academy of Sciences and Humanities 2397:Fellows of the Royal Microscopical Society 1992:Journal of the Royal Microscopical Society 1965:Journal of the Royal Microscopical Society 1351:Journal of the Royal Microscopical Society 1326:Journal of the Royal Microscopical Society 1301:Journal of the Royal Microscopical Society 1276:Journal of the Royal Microscopical Society 1251:Journal of the Royal Microscopical Society 1234:Journal of the Royal Microscopical Society 1217:Journal of the Royal Microscopical Society 1192:Journal of the Royal Microscopical Society 1165:Journal of the Royal Microscopical Society 1114:Journal of the Royal Microscopical Society 1080:Journal of the Royal Microscopical Society 1063:Journal of the Royal Microscopical Society 1052:. London, UK: Williams & Norgate: 526. 1046:Journal of the Royal Microscopical Society 1035:. London, UK: Williams & Norgate: 831. 1029:Journal of the Royal Microscopical Society 1004:Journal of the Royal Microscopical Society 987:Journal of the Royal Microscopical Society 936:Journal of the Royal Microscopical Society 911:Journal of the Royal Microscopical Society 894:"Ăśber die Grenzen der geometrischen Optik" 773:(2). London, UK: Robert Hardwicke: 77–82. 47: 2255:"The Evolution of the Abbe Refractometer" 1976: 1942:Abbe, Ernst (1876). Lawson, Henry (ed.). 1815: 1813: 1176: 498:states this formula was first derived by 471:{\displaystyle d={\frac {\lambda }{2NA}}} 2387:Academic staff of the University of Jena 2174: 1986:Abbe, Ernst (1883). Crisp, Frank (ed.). 1959:Abbe, Ernst (1881). Crisp, Frank (ed.). 1937:. Jena, Germany: Mauke's Verlag: 96–174. 1870:(in German). Böhlau Verlag. p. 25. 1793: 756:. Jena, Germany: Mauke's Verlag: 96–174. 368: 360: 352: 344: 259: 2290:MacTutor History of Mathematics Archive 2114: 2060: 2010: 1890: 1751: 1730: 1709: 1659: 14: 2354: 2221:from the original on 24 September 2015 2038:. Chicago, IL: A. N. Marquis Company. 1863: 1810: 1690: 1688: 1042:"The Essence of Homogeneous Immersion" 870:[About Counting Blood Cells]. 425:Abbe was the first to define the term 2208: 1910:. USGS Astrogeology Research Program. 1789: 1787: 1785: 1783: 1781: 1726: 1724: 1722: 1720: 1718: 1686: 1684: 1682: 1680: 1678: 1676: 1674: 1672: 1670: 1668: 1655: 1653: 1651: 1649: 546:Jenaer Glaswerk Schott & Genossen 296:, who also happened to be one of the 2339:Newspaper clippings about Ernst Abbe 1985: 1958: 1941: 1924: 1852: 1841: 1819: 1773: 1747: 1745: 1743: 1741: 1739: 1705: 1703: 536:, in 1884. Abbe, Zeiss, Zeiss' son, 434: 2412:German scientific instrument makers 2407:German manufacturing businesspeople 1908:Gazetteer of Planetary Nomenclature 968:—— (21 February 1879). 494:although in a publication in 1874, 24: 2372:19th-century German businesspeople 2202: 2108:10.1111/j.1365-2818.1876.tb05606.x 2064:Dictionary of Scientific Biography 2004:10.1111/j.1365-2818.1883.tb05956.x 1978:10.1111/j.1365-2818.1881.tb05909.x 1778: 1715: 1665: 1646: 1363:10.1111/j.1365-2818.1884.tb02005.x 1338:10.1111/j.1365-2818.1884.tb01110.x 1313:10.1111/j.1365-2818.1883.tb05956.x 1288:10.1111/j.1365-2818.1882.tb04805.x 1263:10.1111/j.1365-2818.1882.tb00190.x 1204:10.1111/j.1365-2818.1881.tb05902.x 1178:10.1111/j.1365-2818.1881.tb05909.x 1016:10.1111/j.1365-2818.1880.tb05648.x 948:10.1111/j.1365-2818.1879.tb01548.x 923:10.1111/j.1365-2818.1879.tb01651.x 846:10.1111/j.1365-2818.1875.tb00076.x 821:10.1111/j.1365-2818.1875.tb00067.x 779:10.1111/j.1365-2818.1875.tb00845.x 702:Archiv fĂĽr Mikroskopische Anatomie 669:Archiv fĂĽr mikroskopische Anatomie 625:state as a model and idealized by 25: 2483: 2310:Molecular Expressions's biography 2241: 2096:The Monthly Microscopical Journal 1736: 1700: 1400:Zeitschrift fĂĽr Instrumentenkunde 1110:"Origin of Homogeneous Immersion" 1076:"Penetrating Power of Objectives" 1000:"Some Remarks on the Apertometer" 834:The Monthly Microscopical Journal 809:The Monthly Microscopical Journal 767:The Monthly Microscopical Journal 268:Abbe was born 23 January 1840 in 2462:People from Saxe-Weimar-Eisenach 2150:Glossary of the Mapping Sciences 1603:German inventors and discoverers 304:and at Physikalischer Verein in 255: 2217:. Chemistry World. p. 67. 2209:Sella, Andrea (November 2008). 1896: 1884: 1857: 1846: 1835: 1824: 1799: 1588:Calculation of glass properties 1213:"Abbe's Stereoscopic Eye-piece" 651: 569: 524: 518: 511: 484: 373:Ernst Abbe, relief at his grave 2467:University of Göttingen alumni 2382:19th-century German physicists 2115:Hoiberg, Dale H., ed. (2010). 1767: 1757: 1625: 1616: 381:, and in 1868 he invented the 13: 1: 2422:Glass engineering and science 2377:19th-century German inventors 2305:Mathematics Genealogy Project 1639: 1568:Aberration in optical systems 955:—— (2 May 1879). 2324:Works by or about Ernst Abbe 1428:] (in German). Vopelius. 600:During his association with 340: 7: 2343:20th Century Press Archives 1867:Carl Zeiss: Zeiss 1905–1945 1510: 217:Other notable students 10: 2488: 2335:by Carl Zeiss made in 1904 2215:Royal Society of Chemistry 1918: 1831:Helmholtz & Fripp 1876 1490:Sozialpolitische Schriften 414:). Already a professor in 310:Johann Wolfgang von Goethe 2472:University of Jena alumni 868:"Ăśber Blutkörper-Zählung" 648:was named in his honour. 226: 216: 206: 183: 173: 159: 152: 131: 110: 102: 80: 55: 46: 34: 2295:University of St Andrews 2013:Neue Deutsche Biographie 1609: 1494:Socio-political Writings 401:material's variation of 211:Heinrich Friedrich Weber 2237:5.11 (1966): 1720–1731. 2123:Encyclopædia Britannica 1488:—— (1921). 1448:Gesammelte Abhandlungen 1446:—— (1904). 1420:—— (1895). 1411:—— (1895). 1383:—— (1886). 1091:—— (1881). 892:—— (1878). 879:—— (1878). 866:—— (1878). 853:—— (1878). 761:—— (1875). 744:—— (1874). 696:—— (1873). 118:University of Göttingen 2211:"AbbĂ©'s refractometer" 1523:Abbe diffraction limit 1146:Cite journal requires 472: 374: 366: 358: 350: 265: 1864:Walter, Rolf (1996). 618:Carl Zeiss Foundation 544:formed, in 1884, the 500:Joseph Louis Lagrange 473: 372: 364: 356: 348: 263: 2457:People from Eisenach 2392:Carl Zeiss AG people 2281:Robertson, Edmund F. 2248:Abbe's contributions 1925:Abbe, Ernst (1874). 1573:Crown glass (optics) 663:Abbe, Ernst (1873). 561:spherical aberration 504:University of Berlin 441: 365:German stamp of 1968 294:Wilhelm Eduard Weber 274:Saxe-Weimar-Eisenach 193:Wilhelm Eduard Weber 74:Saxe-Weimar-Eisenach 2315:Works by Ernst Abbe 2279:O'Connor, John J.; 2261:on 29 November 2021 2253:Paselk, Richard A. 1598:Optical dilatometer 1553:Abbe sine condition 1230:"Miniatured Images" 595:electron microscope 575:Abbe sine condition 557:optical aberrations 530:interference method 397:, a measure of any 379:Zeiss Optical Works 168:Optical engineering 2333:Abbe Refractometer 2031:"Abbe, Ernst Karl" 1593:Optical aberration 1583:Diaphragm (optics) 1548:Abbe refractometer 1393:] (in German). 1372:S Ber Jena Ges Med 714:10.1007/BF02956173 681:10.1007/bf02956177 614:eight-hour workday 468: 427:numerical aperture 418:, he was hired by 412:angular resolution 375: 367: 359: 351: 266: 178:University of Jena 139:Abbe refractometer 123:University of Jena 2452:Optical engineers 2319:Project Gutenberg 2186:978-1-55862-059-9 2159:978-0-7844-0050-0 2132:978-1-59339-837-8 2074:978-0-684-10112-5 2045:978-0-8379-1001-7 1877:978-3-412-11096-3 1695:Debus et al. 1968 1558:Abbe–Koenig prism 1415:. Google Patents. 629:in the 1947 book 610:social democratic 492: 491: 466: 383:apochromatic lens 230: 229: 207:Doctoral students 154:Scientific career 16:(Redirected from 2479: 2417:History of glass 2328:Internet Archive 2297: 2270: 2268: 2266: 2257:. 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Index

Ernst Karl Abbe
HonFRMS

Eisenach
Saxe-Weimar-Eisenach
Jena
German Empire
University of Göttingen
University of Jena
Abbe refractometer
Abbe number
Physics
Optical engineering
University of Jena
Doctoral advisor
Wilhelm Eduard Weber
Karl Snell
Heinrich Friedrich Weber
Gottlob Frege
HonFRMS
Otto Schott
Carl Zeiss
Carl Zeiss AG

Eisenach
Saxe-Weimar-Eisenach
Jena
Göttingen
PhD
Bernhard Riemann

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