Eduard Grüneisen
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Eduard Grüneisen
Eduard Grüneisen (26 May 1877 – 5 April 1949) was a German physicist and the co-eponym of Mie–Grüneisen equation of state. Grüneisen was born in Giebichenstein, near Halle (Saale). The Grüneisen parameter was named after him. Since 1929 he was together with Max Planck editor of ''Annalen der Physik''. In 1933 Grüneisen signed the ''Vow of allegiance of the Professors of the German Universities and High-Schools to Adolf Hitler and the National Socialistic State''. Grüneisen died in Marburg Marburg ( or ) is a university town in the German federal state (''Bundesland'') of Hesse, capital of the Marburg-Biedenkopf district (''Landkreis''). The town area spreads along the valley of the river Lahn and has a population of approximate ..., West Germany. References 1877 births 1949 deaths 20th-century German physicists {{Germany-physicist-stub ...
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Giebichenstein (Halle)
The Giebichenstein near Stöckse, Germany, is one of the largest Glacial erratic, erratic boulders of northern Germany. It is located in the rural district ("Landkreis") of Nienburg, Lower Saxony, Nienburg/Weser. It weighs around 330 tons. A picture of the Giebichenstein is part of the emblem of the Stöckse municipality. There is the supposition that during Wolstonian Stage the stone was deposited by glaciers as a part of a moraine. Near the Giebichenstein there are the remains of a dolmen, and at the stone itself there were found the remains of a Stone Age hunter's camp. Historical geology Glaciology Rock formations of Lower Saxony Funnelbeaker culture Glacial erratics of Germany {{glaciology-stub ...
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German Empire
The German Empire (),Herbert Tuttle wrote in September 1881 that the term "Reich" does not literally connote an empire as has been commonly assumed by English-speaking people. The term literally denotes an empire – particularly a hereditary empire led by an emperor, although has been used in German to denote the Roman Empire because it had a weak hereditary tradition. In the case of the German Empire, the official name was , which is properly translated as "German Empire" because the official position of head of state in the constitution of the German Empire was officially a "presidency" of a confederation of German states led by the King of Prussia who would assume "the title of German Emperor" as referring to the German people, but was not emperor of Germany as in an emperor of a state. –The German Empire" ''Harper's New Monthly Magazine''. vol. 63, issue 376, pp. 591–603; here p. 593. also referred to as Imperial Germany, the Second Reich, as well as simply Germany, ...
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Marburg
Marburg ( or ) is a university town in the German federal state (''Bundesland'') of Hesse, capital of the Marburg-Biedenkopf district (''Landkreis''). The town area spreads along the valley of the river Lahn and has a population of approximately 76,000. Having been awarded town privileges in 1222, Marburg served as capital of the landgraviate of Hessen-Marburg during periods of the fifteenth to seventeenth centuries. The University of Marburg was founded in 1527 and dominates the public life in the town to this day. Marburg is a historic centre of the pharmaceutical industry in Germany, and there is a plant in the town (by BioNTech) to produce vaccines to tackle Covid-19. History Founding and early history Like many settlements, Marburg developed at the crossroads of two important early medieval highways: the trade route linking Cologne and Prague and the trade route from the North Sea to the Alps and on to Italy, the former crossing the river Lahn here. A first mention o ...
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Germany
Germany,, officially the Federal Republic of Germany, is a country in Central Europe. It is the second most populous country in Europe after Russia, and the most populous member state of the European Union. Germany is situated between the Baltic and North seas to the north, and the Alps to the south; it covers an area of , with a population of almost 84 million within its 16 constituent states. Germany borders Denmark to the north, Poland and the Czech Republic to the east, Austria and Switzerland to the south, and France, Luxembourg, Belgium, and the Netherlands to the west. The nation's capital and most populous city is Berlin and its financial centre is Frankfurt; the largest urban area is the Ruhr. Various Germanic tribes have inhabited the northern parts of modern Germany since classical antiquity. A region named Germania was documented before AD 100. In 962, the Kingdom of Germany formed the bulk of the Holy Roman Empire. During the 16th ce ...
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Grüneisen Parameter
The Grüneisen parameter, γ, named after Eduard Grüneisen, describes the effect that changing the volume of a crystal lattice has on its vibrational properties, and, as a consequence, the effect that changing temperature has on the size or dynamics of the crystal lattice. The term is usually reserved to describe the single thermodynamic property , which is a weighted average of the many separate parameters entering Grüneisen's original formulation in terms of the phonon nonlinearities. Thermodynamic definitions Because of the equivalences between many properties and derivatives within thermodynamics (e.g. see Maxwell Relations), there are many formulations of the Grüneisen parameter which are equally valid, leading to numerous distinct yet correct interpretations of its meaning. Some formulations for the Grüneisen parameter include: \gamma = V \left(\frac\right)_V = \frac = \frac = \frac = -\left(\frac\right)_S where is volume, C_P and C_V are the principal (i.e. per-mass) ...
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Bloch–Grüneisen Temperature
For typical three-dimensional metals, the temperature-dependence of the electrical resistivity ''ρ(T)'' due to the scattering of electrons by acoustic phonons changes from a high-temperature regime in which ''ρ ∝ T'' to a low-temperature regime in which ''ρ ∝ T''5 at a characteristic temperature known as the Debye temperature. For low density electron systems, however, the Fermi surface can be substantially smaller than the size of the Brillouin zone, and only a small fraction of acoustic phonons can scatter off electrons. This results in a new characteristic temperature known as the Bloch–Grüneisen temperature that is lower than the Debye temperature. The Bloch–Grüneisen temperature is defined as ''2ħv''s''k''F''/k''B, where ''ħ'' is the Planck constant, ''v''s is the velocity of sound, ''ħk''F is the Fermi momentum, and ''k''B is the Boltzmann constant. When the temperature is lower than the Bloch–Grüneisen temperature, the most energetic thermal phonons have a ...
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Mie–Grüneisen Equation Of State
The Mie–Grüneisen equation of state is an equation of state that relates the pressure and volume of a solid at a given temperature.Roberts, J. K., & Miller, A. R. (1954). Heat and thermodynamics (Vol. 4). Interscience Publishers.Burshtein, A. I. (2008). Introduction to thermodynamics and kinetic theory of matter. Wiley-VCH. It is used to determine the pressure in a shock-compressed solid. The Mie–Grüneisen relation is a special form of the Grüneisen model which describes the effect that changing the volume of a crystal lattice has on its vibrational properties. Several variations of the Mie–Grüneisen equation of state are in use. The Grüneisen model can be expressed in the form :\Gamma = V \left(\frac\right)_V where is the volume, is the pressure, is the internal energy, and is the Grüneisen parameter which represents the thermal pressure from a set of vibrating atoms. If we assume that is independent of and , we can integrate Grüneisen's model to get : p - ...
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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 causes of phenomena, and usually frame their understanding in mathematical terms. Physicists work across a wide range of research fields, spanning all length scales: from sub-atomic and particle physics, through biological physics, to cosmological length scales encompassing the universe as a whole. The field generally includes two types of physicists: experimental physicists who specialize in the observation of natural phenomena and the development and analysis of experiments, and theoretical physicists who specialize in mathematical modeling of physical systems to rationalize, explain and predict natural phenomena. Physicists can apply their knowledge towards solving practical problems or to developing new technologies (also known as applie ...
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Halle (Saale)
Halle (Saale), or simply Halle (; from the 15th to the 17th century: ''Hall in Sachsen''; until the beginning of the 20th century: ''Halle an der Saale'' ; from 1965 to 1995: ''Halle/Saale'') is the largest city of the Germany, German States of Germany, state of Saxony-Anhalt, the fifth most populous city in the area of former East Germany after (East Berlin, East) Berlin, Leipzig, Dresden and Chemnitz, as well as the List of cities in Germany by population, 31st largest city of Germany, and with around 239,000 inhabitants, it is slightly more populous than the state capital of Magdeburg. Together with Leipzig, the largest city of Saxony, Halle forms the polycentric Leipzig-Halle conurbation. Between the two cities, in Schkeuditz, lies Leipzig/Halle Airport, Leipzig/Halle International Airport. The Leipzig-Halle conurbation is at the heart of the larger Central German Metropolitan Region. Halle lies in the south of Saxony-Anhalt, in the Leipzig Bay, the southernmost part of the N ...
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Max Planck
Max Karl Ernst Ludwig Planck (, ; 23 April 1858 – 4 October 1947) was a German theoretical physicist whose discovery of energy quanta won him the Nobel Prize in Physics in 1918. Planck made many substantial contributions to theoretical physics, but his fame as a physicist rests primarily on his role as the originator of quantum theory, which revolutionized human understanding of atomic and subatomic processes. In 1948, the German scientific institution Kaiser Wilhelm Society (of which Planck was twice president) was renamed Max Planck Society (MPG). The MPG now includes 83 institutions representing a wide range of scientific directions. Life and career Planck came from a traditional, intellectual family. His paternal great-grandfather and grandfather were both theology professors in Göttingen; his father was a law professor at the University of Kiel and Munich. One of his uncles was also a judge. Planck was born in 1858 in Kiel, Holstein, to Johann Julius Wilhelm Plan ...
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Annalen Der Physik
''Annalen der Physik'' (English: ''Annals of Physics'') is one of the oldest scientific journals on physics; it has been published since 1799. The journal publishes original, peer-reviewed papers on experimental, theoretical, applied, and mathematical physics and related areas. The editor-in-chief is Stefan Hildebrandt. Prior to 2008, its ISO 4 abbreviation was ''Ann. Phys. (Leipzig)'', after 2008 it became ''Ann. Phys. (Berl.)''. The journal is the successor to , published from 1790 until 1794, and ', published from 1795 until 1797. The journal has been published under a variety of names (', ', ', ''Wiedemann's Annalen der Physik und Chemie'') during its history. History Originally, was published in German, then a leading scientific language. From the 1950s to the 1980s, the journal published in both German and English. Initially, only foreign authors contributed articles in English but from the 1970s German-speaking authors increasingly wrote in English in order to reach an ...
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Vow Of Allegiance Of The Professors Of The German Universities And High-Schools To Adolf Hitler And The National Socialistic State
Bekenntnis der Professoren an den Universitäten und Hochschulen zu Adolf Hitler und dem nationalsozialistischen Staat officially translated into English as the Vow of allegiance of the Professors of the German Universities and High-Schools to Adolf Hitler and the National Socialistic State was a document presented on 11 November 1933 at the Albert Hall in Leipzig. It had statements in German, English, Italian, and Spanish by selected German academics and included an appendix of signatories. The purge to remove academics and civil servants with Jewish ancestry began with a law being passed on 7 April 1933. This document was signed by those that remained in support of Nazi Germany. Martin Heidegger in his inaugural lecture in May 1933 as ''Rektor'', and who was later in October appointed "Führer of the university", said (translated): "The much celebrated "academic freedom" is being banished from the German university; for this freedom was not genuine, since it was only negative. ...
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