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Carl Hermann
Carl Heinrich Hermann (17 June 1898 – 12 September 1961), or Carl Hermann , was a German physicist and crystallographer known for his research in crystallographic symmetry, nomenclature, and mathematical crystallography in N-dimensional spaces. Hermann was a pioneer in crystallographic databases and, along with Paul Peter Ewald, published the first volume of the influential '' Strukturbericht'' (Structure Report) in 1931. Education and career Hermann was born in the north German port town of Wesermünde to parents both of long-time ministerial families. He studied mathematics and physics at the University of Göttingen, where he received his doctorate in 1923, as a pupil of Max Born and a fellow student with Werner Heisenberg. Upon graduation, he moved to Berlin-Dahlem to work under Herman Francis Mark at the Kaiser Wilhelm Institute for Fiber Chemistry (now Fritz Haber Institute of the Max Planck Society). Later in 1925, he joined Paul P. Ewald at the University of Stutt ...
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Bremerhaven
Bremerhaven (, , Low German: ''Bremerhoben'') is a city at the seaport of the Free Hanseatic City of Bremen, a state of the Federal Republic of Germany. It forms a semi-enclave in the state of Lower Saxony and is located at the mouth of the River Weser on its eastern bank, opposite the town of Nordenham. Though a relatively new city, it has a long history as a trade port and today is one of the most important German ports, playing a role in Germany's trade. History in 1827, but neighboring settlements such as Lehe were in the vicinity as early as the 12th century, and Geestendorf was "mentioned in documents of the ninth century". p. 8. Fourth revised edition. Translated into English from the original German edition titled ''Bremerhaven – tätige Stadt im Noordseewind'' These tiny villages were built on small islands in the swampy estuary. In 1381, the city of Bremen established ''de facto'' rule over the lower Weser stream, including Lehe, later therefore called Bremer ...
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Dahlem (Berlin)
Dahlem ( or ) is a locality of the Steglitz-Zehlendorf borough in southwestern Berlin. Until Berlin's 2001 administrative reform it was a part of the former borough of Zehlendorf. It is located between the mansion settlements of Grunewald and Lichterfelde West. Dahlem is one of the most affluent parts of the city and a center for academic research. It is home to the Freie Universität Berlin, with its architecturally significant Philological Library ''("The Brain")''. Several other research institutions and museums, as well as parts of the Grunewald forest with its renaissance hunting lodge, are located in Dahlem. The U3 line of the Berlin U-Bahn system connects Dahlem to central Berlin. History The first written account of Dahlem dates to the year 1275. The history of the village is connected to the Dahlem Demesne (''Domäne Dahlem'') first mentioned in 1450. Its estates were sold to the state of Prussia in 1841 and developed by dividing it into lots for building villas ...
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Philipps University Of Marburg
The Philipps University of Marburg (german: Philipps-Universität Marburg) was founded in 1527 by Philip I, Landgrave of Hesse, which makes it one of Germany's oldest universities and the oldest still operating Protestant university in the world. It is now a public university of the state of Hesse, without religious affiliation. The University of Marburg has about 23,500 students and 7,500 employees and is located in Marburg, a town of 76,000 inhabitants, with university buildings dotted in or around the town centre. About 14 per cent of the students are international, the highest percentage in Hesse. It offers an International summer university programme and offers student exchanges through the Erasmus programme. History In 1609, the University of Marburg established the world's first professorship in chemistry. In 2012 it opened the first German interactive chemistry museum, called '. Its experimental course programme is aimed at encouraging young people to pursue careers in ...
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Darmstadt University Of Technology
Darmstadt () is a city in the state of Hesse in Germany, located in the southern part of the Rhine-Main-Area (Frankfurt Metropolitan Region). Darmstadt has around 160,000 inhabitants, making it the fourth largest city in the state of Hesse after Frankfurt am Main, Wiesbaden, and Kassel. Darmstadt holds the official title "City of Science" (german: link=no, Wissenschaftsstadt) as it is a major centre of scientific institutions, universities, and high-technology companies. The European Organisation for the Exploitation of Meteorological Satellites (EUMETSAT) and the European Space Operations Centre (ESOC) are located in Darmstadt, as well as GSI Centre for Heavy Ion Research, where several chemical elements such as bohrium (1981), meitnerium (1982), hassium (1984), darmstadtium (1994), roentgenium (1994), and copernicium (1996) were discovered. The existence of the following elements were also confirmed at GSI Centre for Heavy Ion Research: nihonium (2012), flerovium (2009), ...
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Higher-dimensional Space
In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any point within it. Thus, a line has a dimension of one (1D) because only one coordinate is needed to specify a point on itfor example, the point at 5 on a number line. A surface, such as the boundary of a cylinder or sphere, has a dimension of two (2D) because two coordinates are needed to specify a point on itfor example, both a latitude and longitude are required to locate a point on the surface of a sphere. A two-dimensional Euclidean space is a two-dimensional space on the plane. The inside of a cube, a cylinder or a sphere is three-dimensional (3D) because three coordinates are needed to locate a point within these spaces. In classical mechanics, space and time are different categories and refer to absolute space and time. That conception of the world is a four-dimensional space but not the one that was found necessar ...
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Symmetry
Symmetry (from grc, συμμετρία "agreement in dimensions, due proportion, arrangement") in everyday language refers to a sense of harmonious and beautiful proportion and balance. In mathematics, "symmetry" has a more precise definition, and is usually used to refer to an object that is invariant under some transformations; including translation, reflection, rotation or scaling. Although these two meanings of "symmetry" can sometimes be told apart, they are intricately related, and hence are discussed together in this article. Mathematical symmetry may be observed with respect to the passage of time; as a spatial relationship; through geometric transformations; through other kinds of functional transformations; and as an aspect of abstract objects, including theoretic models, language, and music. This article describes symmetry from three perspectives: in mathematics, including geometry, the most familiar type of symmetry for many people; in science and nature ...
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Ludwigshafen Am Rhein
Ludwigshafen, officially Ludwigshafen am Rhein (; meaning " Ludwig's Port upon Rhine"), is a city in the German state of Rhineland-Palatinate, on the river Rhine, opposite Mannheim. With Mannheim, Heidelberg, and the surrounding region, it forms the Rhine Neckar Area. Known primarily as an industrial city, Ludwigshafen is home to BASF, the world's largest chemical producer, and other companies. Among its cultural facilities are the Staatsphilharmonie Rheinland-Pfalz. It is the birthplace and deathplace of the former German chancellor Helmut Kohl. In 2012, Ludwigshafen was classified as a global city with ' Sufficiency' status by the Globalization and World Cities Research Network (GaWC). History Early history In antiquity, Celtic and Germanic tribes settled in the Rhine Neckar area. During the 1st century B.C. the Romans conquered the region, and a Roman auxiliary fort was constructed near the present suburb of Rheingönheim. The Middle Ages saw the foundation of some o ...
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IG Farben
Interessengemeinschaft Farbenindustrie AG (), commonly known as IG Farben (German for 'IG Dyestuffs'), was a German chemical and pharmaceutical conglomerate (company), conglomerate. Formed in 1925 from a merger of six chemical companies—BASF, Bayer, Hoechst AG, Hoechst, Agfa-Gevaert, Agfa, Chemische Fabrik Griesheim-Elektron, and Weiler-ter-Meer, Chemische Fabrik vorm. Weiler Ter Meer—it was seized by the Allies after World War II and divided back into its constituent companies. IG Farben was once the largest company in Europe and the largest chemical and pharmaceutical company in the world. IG Farben scientists made fundamental contributions to all areas of chemistry and the pharmaceutical industry. Otto Bayer discovered the polyaddition for the synthesis of polyurethane in 1937, and three company scientists became List of Nobel laureates, Nobel laureates: Carl Bosch and Friedrich Bergius in 1931 "for their contributions to the invention and development of chemical high pre ...
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Nazi Party
The Nazi Party, officially the National Socialist German Workers' Party (german: Nationalsozialistische Deutsche Arbeiterpartei or NSDAP), was a far-right politics, far-right political party in Germany active between 1920 and 1945 that created and supported the ideology of Nazism. Its precursor, the German Workers' Party (; DAP), existed from 1919 to 1920. The Nazi Party emerged from the Extremism, extremist German nationalism, German nationalist, racism, racist and populism, populist paramilitary culture, which fought against the communism, communist uprisings in post–World War I Germany. The party was created to draw workers away from communism and into nationalism. Initially, Nazi political strategy focused on anti–big business, anti-bourgeoisie, bourgeois, and anti-capitalism, anti-capitalist rhetoric. This was later downplayed to gain the support of business leaders, and in the 1930s, the party's main focus shifted to Antisemitism, antisemitic and Criticism of ...
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Crystal Structure
In crystallography, crystal structure is a description of the ordered arrangement of atoms, ions or molecules in a crystal, crystalline material. Ordered structures occur from the intrinsic nature of the constituent particles to form symmetric patterns that repeat along the principal directions of Three-dimensional space (mathematics), three-dimensional space in matter. The smallest group of particles in the material that constitutes this repeating pattern is the unit cell of the structure. The unit cell completely reflects the symmetry and structure of the entire crystal, which is built up by repetitive Translation (geometry), translation of the unit cell along its principal axes. The translation vectors define the nodes of the Bravais lattice. The lengths of the principal axes, or edges, of the unit cell and the angles between them are the lattice constants, also called ''lattice parameters'' or ''cell parameters''. The symmetry properties of the crystal are described by the con ...
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Space Group
In mathematics, physics and chemistry, a space group is the symmetry group of an object in space, usually in three dimensions. The elements of a space group (its symmetry operations) are the rigid transformations of an object that leave it unchanged. In three dimensions, space groups are classified into 219 distinct types, or 230 types if chiral copies are considered distinct. Space groups are discrete cocompact groups of isometries of an oriented Euclidean space in any number of dimensions. In dimensions other than 3, they are sometimes called Bieberbach groups. In crystallography, space groups are also called the crystallographic or Fedorov groups, and represent a description of the symmetry of the crystal. A definitive source regarding 3-dimensional space groups is the ''International Tables for Crystallography'' . History Space groups in 2 dimensions are the 17 wallpaper groups which have been known for several centuries, though the proof that the list was complete was only ...
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Crystallography
Crystallography is the experimental science of determining the arrangement of atoms in crystalline solids. Crystallography is a fundamental subject in the fields of materials science and solid-state physics (condensed matter physics). The word "crystallography" is derived from the Greek word κρύσταλλος (''krystallos'') "clear ice, rock-crystal", with its meaning extending to all solids with some degree of transparency, and γράφειν (''graphein'') "to write". In July 2012, the United Nations recognised the importance of the science of crystallography by proclaiming that 2014 would be the International Year of Crystallography. denote a direction vector (in real space). * Coordinates in ''angle brackets'' or ''chevrons'' such as <100> denote a ''family'' of directions which are related by symmetry operations. In the cubic crystal system for example, would mean 00 10 01/nowiki> or the negative of any of those directions. * Miller indices in ''parentheses'' ...
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