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Paul Wolfskehl

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147-499: Paul Friedrich Wolfskehl (30 June 1856 in Darmstadt – 13 September 1906 in Darmstadt), was a physician with an interest in mathematics. He bequeathed 100,000 marks (equivalent to €720,000 in 2023) to the first person to prove Fermat's Last Theorem . He was the younger of two sons of a banker, Joseph Carl Theodor Wolfskehl. His elder brother, the jurist Wilhelm Otto Wolfskehl, took over

294-429: A spin quantum number s , which may equal either +1/2 or −1/2. Thus, the total angular momentum quantum number j = l + s is equal to j = l ± 1/2 (except for l = 0, for which for both electrons in each orbital j = 0 + 1/2 = 1/2). Spin of an electron relativistically interacts with its orbit, and this interaction leads to a split of a subshell into two with different energies (the one with j = l − 1/2

441-493: A 6d electron instead of a 7s electron, which is the opposite of the behaviour of its lighter homologues. The Hs ion is expected to have an electron configuration of [Rn]   5f   6d   7s , analogous to that calculated for the Os ion. In chemical compounds , hassium is calculated to display bonding characteristic for a d-block element, whose bonding will be primarily executed by 6d 3/2 and 6d 5/2 orbitals; compared to

588-567: A capital city that it has many architectural testimonies of this period. Many of its major architectural landmarks were created by Georg Moller who was appointed the court master builder of the Grand Duchy of Hesse. Due to the fact that the last ruling Grand Duke of Hesse, Ernst Ludwig was a grandson of Queen Victoria and brother to Empress Alexandra of Russia , the architecture of Darmstadt has been influenced by British and Russian imperial architecture with many examples still existing, such as

735-535: A church presbytery. The most important Catholic Church is St. Ludwig in central Darmstadt. The Russian Chapel in Darmstadt is a Russian orthodox church which is still in use. It was built and used as a private chapel by the last Tsar of Russia, Nicholas II , whose wife Alexandra was born in Darmstadt. Although Russian orthodox churches also exist in other cities outside Russia, the Russian Chapel in Darmstadt

882-532: A consequence of the predicted N   =   184 shell closure. Hassium is not known to occur naturally on Earth; the half-lives of all its known isotopes are short enough that no primordial hassium would have survived to the present day. This does not rule out the possibility of the existence of unknown, longer-lived isotopes or nuclear isomers , some of which could still exist in trace quantities if they are long-lived enough. As early as 1914, German physicist Richard Swinne proposed element   108 as

1029-408: A considerable length of time. The later nuclear shell model suggested that nuclei with about three hundred nucleons would form an island of stability in which nuclei will be more resistant to spontaneous fission and will primarily undergo alpha decay with longer half-lives, and the next doubly magic nucleus (having magic numbers of both protons and neutrons) is expected to lie in the center of

1176-493: A discovery on its own. The JINR work, which preceded the GSI one, "very probably" displayed synthesis of element   108. However, that was determined in retrospect given the work from Darmstadt; the JINR work focused on chemically identifying remote granddaughters of element   108 isotopes (which could not exclude the possibility that these daughter isotopes had other progenitors), while

1323-407: A major part of the city's economy. It is also home to the football club SV Darmstadt 98 . Alexandra Feodorovna (Alix of Hesse) , the wife of Nicholas II of Russia , as well as Maria Alexandrovna (Marie of Hesse) , the wife of Alexander II of Russia , who were related, were born in this city. The name Darmstadt first appears towards the end of the 11th century, then as Darmundestat . Darmstadt

1470-429: A nucleus hit has been hit by a neutron and fissioned) above three in natural osmium, and in 2012–13, these findings were reaffirmed in another experiment run in the laboratory. These results hinted natural hassium could potentially exist in nature in amounts that allow its detection by the means of analytical chemistry, but this conclusion is based on an explicit assumption that there is a long-lived hassium isotope to which

1617-445: A nucleus, some of this energy is diverted to binding protons and neutrons; if a nucleus has a magic number of protons and/or neutrons, then even more of its rest energy is diverted, which gives the nuclide additional stability. This additional stability requires more energy for an external nucleus to break the existing one and penetrate it. More energy diverted to binding nucleons means less rest energy, which in turn means less mass (mass

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1764-417: A physics' Klondike , Oganessian responded, "Klondike may be an exaggeration [...] But soon, we will try to get elements 107   ... 108 in these reactions." The synthesis of element   108 was first attempted in 1978 by a research team led by Oganessian at the JINR. The team used a reaction that would generate element   108, specifically, the isotope 108, from fusion of radium (specifically,

1911-528: A place to research the German language. The academy's annual Georg Büchner Prize , named in memory of Georg Büchner , is considered the most prestigious literary award for writers of German language. Darmstadt is located in the Upper Rhine Plain (German: Oberrheinische Tiefebene), a major rift, about 350 km (217 mi) long and on average 50 km (31 mi) wide, between the cities of Frankfurt in

2058-467: A promising candidate for a deformed doubly magic nucleus. Experimental data is scarce, but the existing data is interpreted by the researchers to support the assignment of N   =   162 as a magic number. In particular, this conclusion was drawn from the decay data of Hs, Hs, and Hs. In 1997, Polish physicist Robert Smolańczuk calculated that the isotope Hs may be the most stable superheavy nucleus against alpha decay and spontaneous fission as

2205-472: A rather noble metal . The standard reduction potential for the Hs /Hs couple is expected to be 0.4   V. The group 8 elements show a distinctive oxide chemistry. All the lighter members have known or hypothetical tetroxides, MO 4 . Their oxidizing power decreases as one descends the group. FeO 4 is not known due to its extraordinarily large electron affinity—the amount of energy released when an electron

2352-559: A response to earlier naming of americium , californium, and berkelium for elements discovered in Berkeley. Armbruster commented on this, "this bad tradition was established by Berkeley. We wanted to do it for Europe." Later, when commenting on the naming of element   112 , Armbruster said, "I did everything to ensure that we do not continue with German scientists and German towns." Hassium has no stable or naturally occurring isotopes. Several radioactive isotopes have been synthesized in

2499-560: A separate industry based research educational institution in 1971 and is the largest University of Applied Sciences in Hesse (German: Hessen ) with about 16,500 students. The TU Darmstadt is one of the important technical institutes in Germany and is well known for its research and teaching in the Electrical, Mechanical and Civil Engineering disciplines. Together with other tertiary institutions,

2646-419: A solid at room temperature although its melting point has not been precisely calculated. Hassium should crystallize in the hexagonal close-packed structure ( / a   =   1.59), similarly to its lighter congener osmium. Pure metallic hassium is calculated to have a bulk modulus (resistance to uniform compression) of 450   GPa , comparable with that of diamond , 442   GPa. Hassium

2793-510: A source of X-rays in the Greenland ice sheet . Although Swinne was unable to verify this observation and thus did not claim discovery, he proposed in 1931 the existence of "regions" of long-lived transuranic elements, including one around Z   =   108. In 1963, Soviet geologist and physicist Viktor Cherdyntsev, who had previously claimed the existence of primordial curium -247, claimed to have discovered element   108—specifically

2940-599: A synthesis claim followed from the Gesellschaft für Schwerionenforschung (GSI) in Darmstadt , Hesse , West Germany . The 1993 report by the Transfermium Working Group, formed by the International Union of Pure and Applied Chemistry and the International Union of Pure and Applied Physics , concluded that the report from Darmstadt was conclusive on its own whereas that from Dubna was not, and major credit

3087-531: A target and a beam is characterized by its cross section —the probability that fusion will occur if two nuclei approach one another expressed in terms of the transverse area that the incident particle must hit in order for the fusion to occur. This fusion may occur as a result of the quantum effect in which nuclei can tunnel through electrostatic repulsion. If the two nuclei can stay close past that phase, multiple nuclear interactions result in redistribution of energy and an energy equilibrium. The resulting merger

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3234-409: A very short distance from a nucleus; beam nuclei are thus greatly accelerated in order to make such repulsion insignificant compared to the velocity of the beam nucleus. The energy applied to the beam nuclei to accelerate them can cause them to reach speeds as high as one-tenth of the speed of light . However, if too much energy is applied, the beam nucleus can fall apart. Coming close enough alone

3381-489: A very volatile solid. The trend of the volatilities of the group   8 tetroxides is experimentally known to be RuO 4   <   OsO 4   >   HsO 4 , which confirms the calculated results. In particular, the calculated enthalpies of adsorption —the energy required for the adhesion of atoms, molecules, or ions from a gas, liquid, or dissolved solid to a surface —of HsO 4 , −(45.4   ±   1)   kJ/mol on quartz , agrees very well with

3528-493: A weakening of the shell closures in this region. In 1991, Polish physicists Zygmunt Patyk and Adam Sobiczewski predicted that 108 is a proton magic number for deformed nuclei and 162 is a neutron magic number for such nuclei. This means such nuclei are permanently deformed in their ground state but have high, narrow fission barriers to further deformation and hence relatively long life-times toward spontaneous fission. Computational prospects for shell stabilization for Hs made it

3675-460: Is a superheavy element ; it has been produced in a laboratory in very small quantities by fusing heavy nuclei with lighter ones. Natural occurrences of the element have been hypothesised but never found. In the periodic table of elements, hassium is a transactinide element , a member of the 7th period and group 8 ; it is thus the sixth member of the 6d series of transition metals . Chemistry experiments have confirmed that hassium behaves as

3822-491: Is a botanical garden maintained by the Technische Universität Darmstadt with a fine collection of rare plants and trees. The Protestant Stadtkirche Darmstadt built in 1369, is in the pedestrian zone of the downtown city center, next to the historic Hotel Bockshaut. The church has gothic elements along with renaissance and baroque , it houses the royal crypt . Hotel Bockshaut was built in 1580 for

3969-457: Is a major base for low-cost carrier Ryanair . This airport can only be reached by car or bus. Darmstadt is served by several national and European bus links which connect Darmstadt with other German and European cities. Darmstadt was the capital of an independent country (the Grand Duchy of Hesse ) until 1871 and the capital of the German state of Hesse until 1945. It is due to its past as

4116-408: Is added to a neutral atom or molecule to form a negative ion —which results in the formation of the well-known oxyanion ferrate(VI) , FeO 4 . Ruthenium tetroxide , RuO 4 , which is formed by oxidation of ruthenium(VI) in acid, readily undergoes reduction to ruthenate(VI), RuO 4 . Oxidation of ruthenium metal in air forms the dioxide, RuO 2 . In contrast, osmium burns to form

4263-443: Is an excited state —termed a compound nucleus —and thus it is very unstable. To reach a more stable state, the temporary merger may fission without formation of a more stable nucleus. Alternatively, the compound nucleus may eject a few neutrons , which would carry away the excitation energy; if the latter is not sufficient for a neutron expulsion, the merger would produce a gamma ray . This happens in about 10  seconds after

4410-541: Is an officially recognised and Church-sponsored University. The sponsors are the Protestant Church in Hesse and Nassau, the Protestant Church of Kurhesse-Waldeck and the social welfare organisation of both Hessian Protestant Churches, the Diakonie Hesse. The EHD has approximately 1,700 students, 40 professors and 10 scientific employees and about 100 visiting lecturers every semester. The city's main professional club

4557-458: Is based on the life of Wolfskehl. It was broadcast on BBC Radio 4 on 1 November 2006 and 29 August 2008. Darmstadt Darmstadt ( German: [ˈdaʁmʃtat] ) 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

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4704-460: Is commonly known by its German name, Jugendstil. The name is taken from the artistic journal, Die Jugend, which was published in Munich and which espoused the new artistic movement. It was founded in 1896 by Georg Hirth (Hirth remained editor until his death in 1916, and the magazine continued to be published until 1940). The magazine was instrumental in promoting the style in Germany. As a result, its name

4851-444: Is expected to be one of the densest of the 118 known elements, with a predicted density of 27–29 g/cm vs. the 22.59 g/cm measured for osmium. The atomic radius of hassium is expected to be around 126   pm. Due to the relativistic stabilization of the 7s orbital and destabilization of the 6d orbital, the Hs ion is predicted to have an electron configuration of [ Rn ]   5f   6d   7s , giving up

4998-580: Is greater than that of osmium because of the relativistic expansion of the 6p 3/2 orbitals, which are the outermost orbitals for an Hs ion (although in practice such highly charged ions would be too polarised in chemical environments to have much reality). There are several kinds of electronic orbitals, denoted by the letters s, p, d, and f (g orbitals are expected to start being chemically active among elements after element 120 ). Each of these corresponds to an azimuthal quantum number l : s to 0, p to 1, d to 2, and f to 3. Every electron also corresponds to

5145-412: Is lower in energy and thus these electrons more difficult to extract): for instance, of the six 6p electrons, two become 6p 1/2 and four become 6p 3/2 . This is the spin–orbit splitting (sometimes also referred to as subshell splitting or jj coupling ). It is most visible with p electrons, which do not play an important role in the chemistry of hassium, but those for d and f electrons are within

5292-531: Is more live music -oriented, is held in the same location every year in May. These two festivals attract 700,000 and 400,000 visitors respectively. Darmstadt has a rich cultural heritage. The Staatstheater Darmstadt dates back to the year 1711. The present building has been in use since 1972 and has three halls which can be used independently. The "Grand Hall" (Großes Haus) provides seats for 956 people and serves as Darmstadt's opera house. The "Small Hall" (Kleines Haus)

5439-672: Is mostly used for plays and dance and has 482 seats. A separate small hall (Kammerspiele), with 120 seats, is used for chamber plays . Among the museums in Darmstadt the most important are the Hessisches Landesmuseum (Hessian State Museum), the Porcelain Museum (exhibition of the ducal porcelain), the Schlossmuseum (exhibition of the ducal residence and possessions), the Kunsthalle Darmstadt (exhibitions of modern art),

5586-408: Is not enough for two nuclei to fuse: when two nuclei approach each other, they usually remain together for about 10  seconds and then part ways (not necessarily in the same composition as before the reaction) rather than form a single nucleus. This happens because during the attempted formation of a single nucleus, electrostatic repulsion tears apart the nucleus that is being formed. Each pair of

5733-912: Is not long enough for any sufficient quantity to remain on Earth. It is possible that more Hs may be deposited on the Earth as the Solar System travels through the spiral arms of the Milky Way ; this would explain excesses of plutonium-239 found on the ocean floors of the Pacific Ocean and the Gulf of Finland . However, minerals enriched with Hs are predicted to have excesses of its daughters uranium-235 and lead-207; they would also have different proportions of elements that are formed during spontaneous fission, such as krypton , zirconium , and xenon . The natural occurrence of hassium in minerals such as molybdenite and osmiride

5880-434: Is proportional to rest energy). More equal atomic numbers of the reacting nuclei result in greater electrostatic repulsion between them, but the lower mass excess of the target nucleus balances it. This leaves less excitation energy for the newly created compound nucleus, which necessitates fewer neutron ejections to reach a stable state. Because of this energy difference, the former mechanism became known as "hot fusion" and

6027-415: Is supported by the observed eleven-millisecond half-life of Hs and the five-millisecond half-life of the neighbouring isobar Mt because the hindrance factors from the odd nucleon were shown to be much lower than otherwise expected. The measured half-lives are even lower than those originally predicted for the even–even Hs and Ds, which suggests a gap in stability away from the shell closures and perhaps

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6174-609: Is the football club SV Darmstadt 98 , who play at the Merck-Stadion am Böllenfalltor . Other, amateur football clubs are 1. FCA Darmstadt and Rot-Weiß Darmstadt . Hassium Hassium is a synthetic chemical element ; it has symbol Hs and atomic number 108. It is highly radioactive : its most stable known isotopes have half-lives of approximately ten seconds. One of its isotopes, Hs, has magic numbers of protons and neutrons for deformed nuclei, giving it greater stability against spontaneous fission . Hassium

6321-560: Is the case for all transactinides , a few deviations are expected to arise from relativistic effects . Very few properties of hassium or its compounds have been measured; this is due to its extremely limited and expensive production and the fact that hassium (and its parents) decays very quickly. A few singular chemistry-related properties have been measured, such as enthalpy of adsorption of hassium tetroxide, but properties of hassium metal remain unknown and only predictions are available. Relativistic effects on hassium should arise due to

6468-553: Is theoretically possible, but very unlikely. In 2004, JINR started a search for natural hassium in the Modane Underground Laboratory in Modane , Auvergne-Rhône-Alpes , France; this was done underground to avoid interference and false positives from cosmic rays . In 2008–09, an experiment run in the laboratory resulted in detection of several registered events of neutron multiplicity (number of emitted free neutrons after

6615-509: Is unconfirmed. Most of these isotopes decay predominantly through alpha decay; this is the most common for all isotopes for which comprehensive decay characteristics are available, the only exception being hassium-277, which undergoes spontaneous fission. Lighter isotopes were usually synthesized by direct fusion between two lighter nuclei, whereas heavier isotopes were typically observed as decay products of nuclei with larger atomic numbers. Atomic nuclei have well-established nuclear shells, and

6762-516: The WirtschaftsWoche test ranking Germany's high-tech regions. The roots of Darmstadt University of Applied Sciences goes back to 1876 along with Technische Universität Darmstadt (the first electrical engineering chair and inventions fame), when both these Universities were an integrated entities, a need for a separate industry based research educational institution was felt in the early 1930s, finally University of Applied sciences emerged as

6909-627: The 108 isotope, which supposedly had a half-life of 400 to 500   million years—in natural molybdenite and suggested the provisional name sergenium (symbol Sg); this name takes its origin from the name for the Silk Road and was explained as "coming from Kazakhstan " for it. His rationale for claiming that sergenium was the heavier homologue to osmium was that minerals supposedly containing sergenium formed volatile oxides when boiled in nitric acid , similarly to osmium. Cherdyntsev's findings were criticized by Soviet physicist Vladimir Kulakov on

7056-510: The Darmstadt artists' colony , a major centre of the Jugendstil artistic movement, referring both to the group of artists active in the city in the late 19th and early 20th century, as well as the buildings which they designed, together with the Russian Chapel in Darmstadt , was recognized as a World Heritage Site by UNESCO in 2021. Darmstadt was formerly the capital of a sovereign state,

7203-537: The Grand Duchy of Hesse and its successor, the People's State of Hesse , a federal state of Germany. As the capital of an increasingly prosperous duchy , the city gained some international prominence and remains one of the wealthiest cities in Europe. In the 20th century, industry (especially chemicals), as well as large science and electronics (and later, information technology) sectors became increasingly important, and are still

7350-508: The Joint Institute for Nuclear Research (JINR) in Dubna , Moscow Oblast , Russian SFSR , Soviet Union , proposed a different mechanism, in which the bombarded nucleus would be lead-208, which has magic numbers of protons and neutrons, or another nucleus close to it. Each proton and neutron has a fixed value of rest energy ; those of all protons are equal and so are those of all neutrons. In

7497-500: The Rhein-Main Metropolitan Area ). The backbone of public transport in Darmstadt is the tram system with 10 lines. Local bus lines also serve all parts of the city and the city is served by regional bus lines. The historically important local airfield August Euler Airfield is closed to aviation at large, being reserved for the use of the Technische Universität Darmstadt . Darmstadt can be easily accessed from around

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7644-635: The Rhine-Main S-Bahn , which connects the city to Frankfurt . Within Darmstadt the S3 also stops at stations in Darmstadt-Arheilgen and Darmstadt-Wixhausen . Regional trains also connect six secondary railway stations within Darmstadt, and stations in the surrounding region, with Darmstadt Hauptbahnhof . The extensive public transport system of Darmstadt is integrated in the RMV (the transportation authority of

7791-621: The Technische Hochschule Darmstadt and became a Privatdozent for mathematics at the university. There are a number of theories concerning the prize's origin. The most romantic is that he was spurned by a young lady and decided to commit suicide, but was distracted by what he thought was an error in a paper by Ernst Kummer , who had detected a flaw in Augustin Cauchy 's attempted proof of Fermat's famous problem. This rekindled his will to live and, in gratitude, he established

7938-414: The beta decay of Bh and Sg, which, being homologous to rhenium and molybdenum respectively, should occur in molybdenite along with rhenium and molybdenum if they occurred in nature. Because hassium is homologous to osmium, it should occur along with osmium in osmiridium if it occurs in nature. The decay chains of Bh and Sg are hypothetical and the predicted half-life of this hypothetical hassium isomer

8085-465: The fission barrier for nuclei with about 280 nucleons. The later nuclear shell model suggested that nuclei with about 300 nucleons would form an island of stability in which nuclei will be more resistant to spontaneous fission and will primarily undergo alpha decay with longer half-lives. Subsequent discoveries suggested that the predicted island might be further than originally anticipated; they also showed that nuclei intermediate between

8232-416: The kinetic energy of the emitted particle). Spontaneous fission, however, produces various nuclei as products, so the original nuclide cannot be determined from its daughters. Nuclear reactions used in the 1960s resulted in high excitation energies that required expulsion of four or five neutrons; these reactions used targets made of elements with high atomic numbers to maximize the size difference between

8379-769: The 19th and 20th centuries, Darmstadt became home to many technology companies and research institutes, and has been promoting itself as a "city of science" since 1997. It is well known as a high-tech centre in the vicinity of Frankfurt Airport , with important activities in spacecraft operations (the European Space Agency 's European Space Operations Centre , European Organisation for the Exploitation of Meteorological Satellites ), chemistry, pharmacy, information technology, biotechnology, telecommunications (substantial Deutsche Telekom presence) and mechatronics. In 2000, its region also scored Rank 3 amongst 97 German regions in

8526-879: The Commission of Inorganic Nomenclature and the Commission of Atomic Weights . They would review the names in case of a conflict and select one; the decision would be based on a number of factors, such as usage, and would not be an indicator of priority of a claim. The two commissions would recommend a name to the IUPAC Council, which would be the final authority. The discoverers held the right to name an element, but their name would be subject to approval by IUPAC. The Commission of Atomic Weights distanced itself from element naming in most cases. Under Mendeleev's nomenclature for unnamed and undiscovered elements , hassium would be known as "eka- osmium ", as in "the first element below osmium in

8673-630: The Darmstadt region is Frankenstein Castle due to claims that the real castle may have had an influence on Mary Shelley's decision to choose the name Frankenstein for her monster-creating scientist. This castle dates back to the 13th century, but it was acquired by the counts of Hesse-Darmstadt in 1662. Darmstadt has a rich tradition in modern architecture. After 1945 several "Meisterbauten" ( Masterful Architectonic Creations ) were built that set standards for modern architecture. These buildings still exist and are used for various public and private purposes. In

8820-572: The GSI work clearly identified the decay path of those element   108 isotopes. The report concluded that the major credit should be awarded to GSI. In written responses to this ruling, both JINR and GSI agreed with its conclusions. In the same response, GSI confirmed that they and JINR were able to resolve all conflicts between them. Historically, a newly discovered element was named by its discoverer. The first regulation came in 1947, when IUPAC decided naming required regulation in case there are conflicting names. These matters were to be resolved by

8967-549: The German suggestion was obscure. GSI protested, saying this proposal contradicted the long-standing convention of giving the discoverer the right to suggest a name; the American Chemical Society supported GSI. The name "hahnium", albeit with the different symbol Ha, had already been proposed and used by the American scientists for element   105 , for which they had a discovery dispute with JINR; they thus protested

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9114-434: The German variant of Art Nouveau . Also during this period, in 1912 the chemist Anton Kollisch , working for the pharmaceutical company Merck , first synthesised the chemical MDMA (ecstasy) in Darmstadt. Darmstadt's municipal area was extended in 1937 to include the neighbouring localities of Arheilgen and Eberstadt, and in 1938 the city was separated administratively from the surrounding district ( Kreis ). Darmstadt

9261-505: The Luisenplatz with its grand-ducal column, the old Hessian State Theatre (at Karolinenplatz) and the Russian Chapel by Leon Benois . The Russian church, St. Mary Magdalene Chapel, is named in honor of the patron saint of Tsar Nicholas' mother and was built of Russian stone on Russian soil brought to Darmstadt by train. It was used by the Russian imperial family and court during regular visits to

9408-518: The Maier-Leibnitz Laboratory in Garching , Bavaria , Germany, was unsuccessful, setting an upper limit to its abundance at 3 × 10  grams of hassium per gram of osmium. Various calculations suggest hassium should be the heaviest group 8 element so far, consistently with the periodic law . Its properties should generally match those expected for a heavier homologue of osmium; as

9555-570: The Netherlands, the Baltic states, and Nordic countries. The two main centres for Jugendstil art in Germany were Munich and Darmstadt. The Luisenplatz , the central square of the city, forms the centre of the city and is the main public transport hub. In 1844 the Ludwigsäule (called Langer Lui , meaning Long Ludwig ), a 33-metre (108 ft) column commemorating Ludwig I , first Grand Duke of Hesse ,

9702-528: The TU is responsible for the large student population of the city, which stood at 33,547 in 2004. Darmstadt has nine official 'Stadtteile' ( boroughs ). These are: The current mayor of Darmstadt is Hanno Benz of SPD , who was elected in 2023. The following is a list of mayors since 1945: The Darmstadt city council ( Stadtverordnetenversammlung ) governs the city alongside the Mayor. The most recent city council election

9849-518: The Tsarina's brother and family in Darmstadt. The Residential Palace Darmstadt ( Stadtschloss ) is located in the city centre. It was the residence of the counts of Hesse-Darmstadt , later as Grand Dukes of Hesse by the grace of Napoleon. The rulers of Hesse also owned Jagdschloss Kranichstein , a hunting lodge in Kranichstein which is a nowadays used as a five star hotel. The most famous castle in

9996-438: The atom and harder to pull from the nucleus. This is the direct relativistic effect. It was originally thought to be strong only for the innermost electrons, but was later established to significantly influence valence electrons as well. Since the s and p 1/2 orbitals are closer to the nucleus, they take a bigger portion of the electric charge of the nucleus on themselves ("shield" it). This leaves less charge for attraction of

10143-414: The atomization energies of the compounds of hassium because the spin–orbit splitting of the d orbital lowers binding energy between electrons and the nucleus and because relativistic effects decrease ionic character in bonding. The previous members of group   8 have relatively high melting points: Fe, 1538   °C; Ru , 2334   °C; Os, 3033   °C. Much like them, hassium is predicted to be

10290-477: The better-known lighter nuclei, superheavy nuclei are deformed. Until the 1960s, the liquid drop model was the dominant explanation for nuclear structure. It suggested that the fission barrier would disappear for nuclei with about 280   nucleons. It was thus thought that spontaneous fission would occur nearly instantly before nuclei could form a structure that could stabilize them; it appeared that nuclei with Z   ≈   103 were too heavy to exist for

10437-464: The catholic secondary school Edith-Stein-Schule , the Adventists ' Schulzentrum Marienhöhe , an anthroposophic Waldorf School , a Comenius School and other faith based private schools. The Technical University of Darmstadt (German: Technische Universität Darmstadt ), commonly referred to as TU Darmstadt, is a prestigious research university in Germany. It was founded in 1877 and received

10584-414: The chemical community, the competing physicists in the field ignored them. They either called it "element   108", with the symbols E108 , (108) or 108 , or used the proposed name "hassium". In 1990, in an attempt to break a deadlock in establishing priority of discovery and naming of several elements, IUPAC reaffirmed in its nomenclature of inorganic chemistry that after existence of an element

10731-509: The city was also the location of a subcamp of the Natzweiler-Struthof concentration camp . Several prominent members of the German resistance movement against the Nazis were citizens of Darmstadt, including Wilhelm Leuschner and Theodor Haubach , both executed for their opposition to Hitler's regime. Darmstadt was first bombed on 30 July 1940, and 34 other air raids would follow before

10878-415: The confusing scrambling of names. Following the uproar, IUPAC formed an ad hoc committee of representatives from the national adhering organizations of the three countries home to the competing institutions; they produced a new set of names in 1995. Element   108 was again named hahnium ; this proposal was also retracted. The final compromise was reached in 1996 and published in 1997; element   108

11025-401: The current calculations of no more than 2%.) As atomic number increases, so does the electrostatic attraction between an electron and the nucleus. This causes the velocity of the electron to increase, which leads to an increase in its mass . This in turn leads to contraction of the atomic orbitals , most specifically the s and p 1/2 orbitals. Their electrons become more closely attached to

11172-482: The data, suggesting the possibility that element   108 had not been created. In 1983, new experiments were performed at JINR. The experiments probably resulted in the synthesis of element   108; bismuth ( 83 Bi ) was bombarded with manganese ( 25 Mn ) to obtain 108, lead ( 82 Pb , 82 Pb ) was bombarded with iron ( 26 Fe ) to obtain 108, and californium ( 98 Cf )

11319-492: The decay products are easy to determine before the actual decay; if such a decay or a series of consecutive decays produces a known nucleus, the original product of a reaction can be easily determined. (That all decays within a decay chain were indeed related to each other is established by the location of these decays, which must be in the same place.) The known nucleus can be recognized by the specific characteristics of decay it undergoes such as decay energy (or more specifically,

11466-507: The elements from the previous periods, 7s, 6p 1/2 , 6p 3/2 , and 7p 1/2 orbitals should be more important. Hassium is the sixth member of the 6d series of transition metals and is expected to be much like the platinum group metals . Some of these properties were confirmed by gas-phase chemistry experiments. The group   8 elements portray a wide variety of oxidation states but ruthenium and osmium readily portray their group oxidation state of +8; this state becomes more stable down

11613-896: The exhibition centre Mathildenhöhe, and the Museum Künstlerkolonie ( Art Nouveau museum). The Jazz-Institut Darmstadt is Germany's largest publicly accessible jazz archive. The Internationales Musikinstitut Darmstadt, harboring one of the world's largest collections of post-war sheet music , also hosts the biennial Internationale Ferienkurse für Neue Musik , a summer school in contemporary classical music founded by Wolfgang Steinecke . A large number of avant-garde composers have attended and given lectures there, including Olivier Messiaen , Luciano Berio , Milton Babbitt , Pierre Boulez , Luigi Nono , John Cage , György Ligeti , Iannis Xenakis , Karlheinz Stockhausen , Mauricio Kagel , and Helmut Lachenmann . The Deutsche Akademie für Sprache und Dichtung provides writers and scholars with

11760-413: The existence of superheavy elements in nature was at least possible, although unlikely. In 2006, Russian geologist Alexei Ivanov hypothesized that an isomer of Hs might have a half-life of around (2.5 ± 0.5) × 10 years, which would explain the observation of alpha particles with energies of around 4.4   MeV in some samples of molybdenite and osmiridium . This isomer of Hs could be produced from

11907-505: The existence of these shells provides nuclei with additional stability. If a nucleus has certain numbers of protons or neutrons, called magic numbers, that complete certain nuclear shells, then the nucleus is even more stable against decay. The highest known magic numbers are 82 for protons and 126 for neutrons. This notion is sometimes expanded to include additional numbers between those magic numbers, which also provide some additional stability and indicate closure of "sub-shells". In contrast to

12054-428: The experimental value of −(46   ±   2)   kJ/mol. The first goal for chemical investigation was the formation of the tetroxide; it was chosen because ruthenium and osmium form volatile tetroxides, being the only transition metals to display a stable compound in the +8 oxidation state. Despite this selection for gas-phase chemical studies being clear from the beginning, chemical characterization of hassium

12201-577: The family bank after the death of his father. From 1875 to 1880 Paul Wolfskehl studied medicine at the Universities of Leipzig , Tübingen and Heidelberg . In 1880 he received his doctorate from the Heidelberg University . At about this time, he began to suffer from multiple sclerosis , which eventually forced him to pursue another career. From 1880 to 1883 he studied mathematics at the universities of Bonn and KKÜ . In 1887 he habilitated at

12348-430: The fields of electrical, mechanical and civil engineering, architecture, computer science, mathematics and the natural sciences. It also offers courses in economics, law, history, politics, sociology, psychology, sport science and linguistics. It also offers degree courses for teaching positions at German vocational schools and Gymnasiums. The Darmstadt University of Applied Sciences (German: Hochschule Darmstadt ) has

12495-454: The following elements was also confirmed at GSI Centre for Heavy Ion Research : nihonium (2012), flerovium (2009), moscovium (2012), livermorium (2010), and tennessine (2012). The Facility for Antiproton and Ion Research (FAIR) is an international accelerator facility under construction. Darmstadt is also the seat of the world's oldest pharmaceutical company, Merck , which is the city's largest employer. The Mathildenhöhe, including

12642-410: The greater the possibility that the two react. The material made of the heavier nuclei is made into a target, which is then bombarded by the beam of lighter nuclei. Two nuclei can only fuse into one if they approach each other closely enough; normally, nuclei (all positively charged) repel each other due to electrostatic repulsion . The strong interaction can overcome this repulsion but only within

12789-425: The grounds that some of the properties Cherdyntsev claimed sergenium had were inconsistent with the then-current nuclear physics. The chief questions raised by Kulakov were that the claimed alpha decay energy of sergenium was many orders of magnitude lower than expected and the half-life given was eight orders of magnitude shorter than what would be predicted for a nuclide alpha-decaying with the claimed decay energy. At

12936-428: The group. This oxidation state is extremely rare: among stable elements, only ruthenium, osmium, and xenon are able to attain it in reasonably stable compounds. Hassium is expected to follow its congeners and have a stable +8 state, but like them it should show lower stable oxidation states such as +6, +4, +3, and +2. Hassium(IV) is expected to be more stable than hassium(VIII) in aqueous solution. Hassium should be

13083-531: The heavier homologue to osmium , reacting readily with oxygen to form a volatile tetroxide . The chemical properties of hassium have been only partly characterized, but they compare well with the chemistry of the other group 8 elements. The principal innovation that led to the discovery of hassium was the technique of cold fusion, in which the fused nuclei did not differ by mass as much as in earlier techniques. It relied on greater stability of target nuclei, which in turn decreased excitation energy. This decreased

13230-431: The high charge of its nuclei, which causes the electrons around the nucleus to move faster—so fast their velocity becomes comparable to the speed of light. There are three main effects: the direct relativistic effect, the indirect relativistic effect, and spin–orbit splitting . (The existing calculations do not account for Breit interactions , but those are negligible, and their omission can only result in an uncertainty of

13377-846: The highest number of industrial linkage programs, compared to the rest of the universities of applied sciences. The roots of University of Applied Sciences Darmstadt dates back to 1876. However, it has not emerged as a separate institution before 1971. As of 2017 it was the largest University of Applied Sciences in the State of Hesse, with about 16,000 students. It offers courses in architecture, chemical engineering, materials science, civil engineering, computer science, design, economics, electrical engineering and information technology, mathematics and science, mechanical engineering, media (including information science and engineering), plastics engineering, social and cultural studies, and several social sciences. The Protestant University of Applied Sciences Darmstadt (EHD)

13524-508: The importance of shell effects on nuclei. Theoretical models predict a region of instability for some hassium isotopes to lie around A   =   275 and N   =   168–170, which is between the predicted neutron shell closures at N   =   162 for deformed nuclei and N   =   184 for spherical nuclei. Nuclides within this region are predicted to have low fission barrier heights, resulting in short partial half-lives toward spontaneous fission. This prediction

13671-474: The inhabitants were killed, and 66,000 to 70,000 were left homeless. Over three-quarters of Darmstadt's inner city was destroyed. Post-war rebuilding was done in a relatively plain architectural style, although a number of the historic buildings were rebuilt to their original appearance following the city's capture on 25 March 1945 by the American 4th Armored Division . Today around 30% of Darmstadt consists out of buildings from before World War II. Throughout

13818-503: The initial nuclear collision and results in creation of a more stable nucleus. The definition by the IUPAC/IUPAP Joint Working Party (JWP) states that a chemical element can only be recognized as discovered if a nucleus of it has not decayed within 10 seconds. This value was chosen as an estimate of how long it takes a nucleus to acquire electrons and thus display its chemical properties. The beam passes through

13965-484: The island of stability in the vicinity of Z   =   110–114 and the predicted magic neutron number N   =   184. Subsequent discoveries suggested that the predicted island might be further than originally anticipated. They also showed that nuclei intermediate between the long-lived actinides and the predicted island are deformed, and gain additional stability from shell effects, against alpha decay and especially against spontaneous fission. The center of

14112-440: The isotope 88 Ra ) and calcium ( 20 Ca ) . The researchers were uncertain in interpreting their data, and their paper did not unambiguously claim to have discovered the element. The same year, another team at JINR investigated the possibility of synthesis of element   108 in reactions between lead ( 82 Pb ) and iron ( 26 Fe ) ; they were uncertain in interpreting

14259-407: The isotope Cn had a low yield—its cross section was only 1   pb —and thus did not provide enough hassium atoms for a chemical investigation. Direct synthesis of Hs and Hs in the reaction Cm( Mg, x n) Hs ( x   =   4 or 5) appeared more promising because the cross section for this reaction was somewhat larger at 7   pb. This yield was still around ten times lower than that for

14406-423: The laboratory, either by fusing two atoms or by observing the decay of heavier elements. As of 2019, the quantity of all hassium ever produced was on the order of hundreds of atoms. Thirteen isotopes with mass numbers ranging from 263 to 277 (with the exceptions of 274 and 276) have been reported, six of which—hassium-265, -266, -267, -269, -271, and -277—have known metastable states , although that of hassium-277

14553-519: The late 1990s the Waldspirale ('Forest Spiral') was built, a residential complex by Austrian Friedensreich Hundertwasser . As an almost surreal building, it is internationally famous for its almost absolute rejection of rectangular forms, down to every window having a different shape, the style being a trademark of Hundertwasser's work. Hundertwasser died before the Waldspirale was finished. Darmstadt

14700-403: The latter as "cold fusion". Cold fusion was first declared successful in 1974 at JINR, when it was tested for synthesis of the yet-undiscovered element   106. These new nuclei were projected to decay via spontaneous fission. The physicists at JINR concluded element 106 was produced in the experiment because no fissioning nucleus known at the time showed parameters of fission similar to what

14847-423: The lightest nuclide primarily undergoing spontaneous fission has 238. In both decay modes, nuclei are inhibited from decaying by corresponding energy barriers for each mode, but they can be tunneled through. Alpha particles are commonly produced in radioactive decays because the mass of an alpha particle per nucleon is small enough to leave some energy for the alpha particle to be used as kinetic energy to leave

14994-410: The long-lived actinides and the predicted island are deformed, and gain additional stability from shell effects. Experiments on lighter superheavy nuclei, as well as those closer to the expected island, have shown greater than previously anticipated stability against spontaneous fission, showing the importance of shell effects on nuclei. Alpha decays are registered by the emitted alpha particles, and

15141-568: The main hub for German flag carrier Lufthansa . Frankfurt Egelsbach Airport ( Flugplatz Frankfurt-Egelsbach ) is a busy general aviation airport located 5 km north of Darmstadt, near the town of Egelsbach . Despite the name, Frankfurt Hahn Airport ( Flughafen Frankfurt-Hahn ) is located far outside the Frankfurt Metro Area, approximately 120 km (75 mi) to the west in Lautzenhausen ( Rhineland-Palatinate ). Hahn Airport

15288-570: The north and Mannheim in the south. Darmstadt's southeastern boroughs are located in the spurs of the Odenwald , a low mountain range in Southern Hesse between the Main and Neckar rivers. Southern Hesse is well known for its mild climate which allows winegrowing on a large scale in the region south of Darmstadt. The weather is often volatile with the summers being warm and humid with frequent thunderstorms,

15435-638: The nucleus. Spontaneous fission is caused by electrostatic repulsion tearing the nucleus apart and produces various nuclei in different instances of identical nuclei fissioning. As the atomic number increases, spontaneous fission rapidly becomes more important: spontaneous fission partial half-lives decrease by 23 orders of magnitude from uranium (element 92) to nobelium (element 102), and by 30 orders of magnitude from thorium (element 90) to fermium (element 100). The earlier liquid drop model thus suggested that spontaneous fission would occur nearly instantly due to disappearance of

15582-436: The number of neutron ejections during synthesis, creating heavier, more stable resulting nuclei. The technique was first tested at the Joint Institute for Nuclear Research (JINR) in Dubna , Moscow Oblast , Russian SFSR , Soviet Union , in 1974. JINR used this technique to attempt synthesis of element 108 in 1978, in 1983, and in 1984; the latter experiment resulted in a claim that element 108 had been produced. Later in 1984,

15729-721: The outermost nucleons ( protons and neutrons) weakens. At the same time, the nucleus is torn apart by electrostatic repulsion between protons, and its range is not limited. Total binding energy provided by the strong interaction increases linearly with the number of nucleons, whereas electrostatic repulsion increases with the square of the atomic number, i.e. the latter grows faster and becomes increasingly important for heavy and superheavy nuclei. Superheavy nuclei are thus theoretically predicted and have so far been observed to predominantly decay via decay modes that are caused by such repulsion: alpha decay and spontaneous fission . Almost all alpha emitters have over 210 nucleons, and

15876-413: The periodic table" (from Sanskrit eka meaning "one"). In 1979, IUPAC published recommendations according to which the element was to be called "unniloctium" and assigned the corresponding symbol of "Uno", a systematic element name as a placeholder until the element was discovered and the discovery then confirmed, and a permanent name was decided. Although these recommendations were widely followed in

16023-549: The prize. This story was traced by Philip Davis and William Chinn in their 1969 book 3.1416 and All That to renowned mathematician Alexander Ostrowski , who supposedly heard it from another, unidentified source. Another more prosaic story has it that Wolfskehl wanted to leave as little as possible to his shrewish wife. Yet another story, told in The Man Who Loved Only Numbers by Paul Hoffman , tells that Wolfskehl actually missed his supposed suicide time because he

16170-462: The region on a chart of nuclides that would correspond to this stability for deformed nuclei was determined as Hs, with 108 expected to be a magic number for protons for deformed nuclei—nuclei that are far from spherical—and 162 a magic number for neutrons for such nuclei. Experiments on lighter superheavy nuclei, as well as those closer to the expected island, have shown greater than previously anticipated stability against spontaneous fission, showing

16317-454: The registered events could be attributed. Since Hs may be particularly stable against alpha decay and spontaneous fission, it was considered as a candidate to exist in nature. This nuclide, however, is predicted to be very unstable toward beta decay and any beta-stable isotopes of hassium such as Hs would be too unstable in the other decay channels to be observed in nature. A 2012 search for Hs in nature along with its homologue osmium at

16464-438: The remaining electrons, whose orbitals therefore expand, making them easier to pull from the nucleus. This is the indirect relativistic effect. As a result of the combination of the direct and indirect relativistic effects, the Hs ion, compared to the neutral atom, lacks a 6d electron, rather than a 7s electron. In comparison, Os lacks a 6s electron compared to the neutral atom. The ionic radius (in oxidation state +8) of hassium

16611-466: The researchers concluded they were caused by 108. Later in 1984, a research team led by Peter Armbruster and Gottfried Münzenberg at Gesellschaft für Schwerionenforschung (GSI; Institute for Heavy Ion Research ) in Darmstadt , Hesse , West Germany , attempted to create element   108. The team bombarded a lead ( 82 Pb ) target with accelerated iron ( 26 Fe ) nuclei. GSI's experiment to create element   108

16758-480: The rest of Germany and Europe through its main railway station, Darmstadt Hauptbahnhof , which is located in the western part of the city centre. The station is part of the Intercity-Express network and also served by other long-distance trains. It is a busy station with 12 platforms and serves as a transportation hub for the southern Hesse/ Odenwald region. Darmstadt Hauptbahnhof is the terminus of S3 of

16905-508: The right to award doctorates in 1899. In 1882 it was the first university in the world to set up a chair in electrical engineering, in 1883 the first faculty for electrical engineering was founded there. The university is organized in 13 departments and 5 fields of study, which all together offer about 100 courses of studies. The fields of study offer interdisciplinary degree courses in which students take lectures in multiple departments. The university, as its title suggests, offers degree courses in

17052-588: The right to name those elements. Sometimes, these claims clashed; since a discoverer was considered entitled to naming of an element, conflicts over priority of discovery often resulted in conflicts over names of these new elements. These conflicts became known as the Transfermium Wars . Different suggestions to name the whole set of elements from 101 onward and they occasionally assigned names suggested by one team to be used for elements discovered by another. However, not all suggestions were met with equal approval;

17199-406: The same order of magnitude (quantitatively, spin–orbit splitting in expressed in energy units, such as electronvolts ). These relativistic effects are responsible for the expected increase of the ionization energy , decrease of the electron affinity , and increase of stability of the +8 oxidation state compared to osmium; without them, the trends would be reversed. Relativistic effects decrease

17346-419: The same time, a corrected half-life in the region of 10   years would be impossible because it would imply the samples contained about a hundred milligrams of sergenium. In 2003, it was suggested that the observed alpha decay with energy 4.5   MeV could be due to a low-energy and strongly enhanced transition between different hyperdeformed states of a hassium isotope around Hs, thus suggesting that

17493-597: The scientists proposed the name "hassium". It is derived from the Latin name Hassia for the German state of Hesse where the institute is located. This name was proposed to IUPAC in a written response to their ruling on priority of discovery claims of elements, signed 29 September 1992. The process of naming of element 108 was a part of a larger process of naming a number of elements starting with element 101 ; three teams—JINR, GSI, and LBL—claimed discoveries of several elements and

17640-552: The stable tetroxide , OsO 4 , which complexes with the hydroxide ion to form an osmium(VIII) - ate complex, [OsO 4 (OH) 2 ] . Therefore, hassium should behave as a heavier homologue of osmium by forming of a stable, very volatile tetroxide HsO 4 , which undergoes complexation with hydroxide to form a hassate(VIII), [HsO 4 (OH) 2 ] . Ruthenium tetroxide and osmium tetroxide are both volatile due to their symmetrical tetrahedral molecular geometry and because they are charge-neutral; hassium tetroxide should similarly be

17787-702: The state of Hesse after Frankfurt am Main , Wiesbaden , and Kassel . Darmstadt holds the official title "City of Science" (German: 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 Agency 's European Space Operations Centre (ESA 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

17934-429: The target and reaches the next chamber, the separator; if a new nucleus is produced, it is carried with this beam. In the separator, the newly produced nucleus is separated from other nuclides (that of the original beam and any other reaction products) and transferred to a surface-barrier detector , which stops the nucleus. The exact location of the upcoming impact on the detector is marked; also marked are its energy and

18081-488: The teams openly protested naming proposals on several occasions. In 1994, IUPAC Commission on Nomenclature of Inorganic Chemistry recommended that element   108 be named "hahnium" (Hn) after the German physicist Otto Hahn so elements named after Hahn and Lise Meitner (it was recommended element   109 should be named meitnerium, following GSI's suggestion) would be next to each other, honouring their joint discovery of nuclear fission; IUPAC commented that they felt

18228-418: The three competing institutes; in 1990, they established criteria for recognition of an element and in 1991, they finished the work of assessing discoveries and disbanded. These results were published in 1993. According to the report, the 1984 works from JINR and GSI simultaneously and independently established synthesis of element   108. Of the two 1984 works, the one from GSI was said to be sufficient as

18375-403: The time of the arrival. The transfer takes about 10  seconds; in order to be detected, the nucleus must survive this long. The nucleus is recorded again once its decay is registered, and the location, the energy , and the time of the decay are measured. Stability of a nucleus is provided by the strong interaction. However, its range is very short; as nuclei become larger, its influence on

18522-659: The two nuclei in a reaction. While this increased the chance of fusion due to the lower electrostatic repulsion between the target and the projectile, the formed compound nuclei often broke apart and did not survive to form a new element. Moreover, fusion processes inevitably produce neutron-poor nuclei, as heavier elements require more neutrons per proton to maximize stability; therefore, the necessary ejection of neutrons results in final products with typically have shorter lifetimes . As such, light beams (six to ten protons) allowed synthesis of elements only up to 106 . To advance to heavier elements, Soviet physicist Yuri Oganessian at

18669-451: The war's end. The old city centre was largely destroyed in a British bombing raid on 11/12 September 1944. This attack was an example of "area bombing" using high explosive and incendiary bombs, which combined in that attack to create a firestorm, a self-sustaining combustion process in which winds generated by the fire ensure it continues to burn until everything possible has been consumed. During this attack an estimated 11,000 to 12,500 of

18816-452: The winters mostly relatively mild with frequent periods of high fog . Snowfall is most likely in January and February, but mild winters without considerable snowfall can occur. The Darmstadt weather station has recorded the following extreme values: The City of Darmstadt offers students a broad variety of public primary, secondary and tertiary schools. Besides them private schools exist, e.g.

18963-410: The world via Frankfurt Airport ( Flughafen Frankfurt am Main ) which is located 20 km (12 mi) north of central Darmstadt and connected to it via Autobahn 5, S-Bahn , several bus lines and a direct express bus-link (" Airliner "). The airport ranks among the world's busiest airports by passenger traffic and is the second-busiest airport by cargo traffic in Europe. The airport also serves as

19110-793: Was a centre of the Art Nouveau movement . Surviving examples of the Jugendstil period include the Rosenhöhe, a landscaped English-style rose garden from the 19th century, recently renovated and replanted, the UNESCO World Heritage Site Mathildenhöhe , with the Hochzeitsturm ('Wedding tower', also commonly known as the 'Five-Finger-Tower') by Joseph Maria Olbrich , the Russian Chapel in Darmstadt and large exhibition halls as well as many private villas built by Jugendstil architects who had settled in Darmstadt. German Art Nouveau

19257-444: Was adopted as the most common German-language term for the style: Jugendstil ("young style"). Although, during the early 20th century, the word was applied to only two-dimensional examples of the graphic arts, especially the forms of organic typography and graphic design found in and influenced by German magazines like Jugend, Pan, and Simplicissimus , it is now applied to more general manifestations of Art Nouveau visual arts in Germany,

19404-460: Was assigned to the German scientists. GSI formally announced they wished to name the element hassium after the German state of Hesse (Hassia in Latin), home to the facility in 1992; this name was accepted as final in 1997. A superheavy atomic nucleus is created in a nuclear reaction that combines two other nuclei of unequal size into one; roughly, the more unequal the two nuclei in terms of mass ,

19551-503: Was bombarded with neon ( 10 Ne ) to obtain 108. These experiments were not claimed as a discovery and Oganessian announced them in a conference rather than in a written report. In 1984, JINR researchers in Dubna performed experiments set up identically to the previous ones; they bombarded bismuth and lead targets with ions of lighter elements manganese and iron, respectively. Twenty-one spontaneous fission events were recorded;

19698-593: Was chartered as a city by the Holy Roman Emperor Ludwig the Bavarian in 1330, at which time it belonged to the counts of Katzenelnbogen . The city, then called Darmstait , became a secondary residence for the counts, with a small castle established at the site of the current, much larger edifice. When the house of Katzenelnbogen became extinct in 1479, the city was passed to the Landgraviate of Hesse , and

19845-415: Was considered a difficult task for a long time. Although hassium isotopes were first synthesized in 1984, it was not until 1996 that a hassium isotope long-lived enough to allow chemical studies was synthesized. Unfortunately, this hassium isotope, Hs, was synthesized indirectly from the decay of Cn; not only are indirect synthesis methods not favourable for chemical studies, but the reaction that produced

19992-541: Was corroborated by an experiment aimed at synthesizing isotopes of element   106. GSI reported synthesis of three atoms of 108. Two years later, they reported synthesis of one atom of the even–even 108. In 1985, the International Union of Pure and Applied Chemistry (IUPAC) and the International Union of Pure and Applied Physics (IUPAP) formed the Transfermium Working Group (TWG) to assess discoveries and establish final names for elements with atomic numbers greater than 100. The party held meetings with delegates from

20139-478: Was delayed until after their creation of element   109 in 1982, as prior calculations had suggested that even–even isotopes of element   108 would have spontaneous fission half-lives of less than one microsecond , making them difficult to detect and identify. The element   108 experiment finally went ahead after 109 had been synthesized and was found to decay by alpha emission, suggesting that isotopes of element   108 would do likewise, and this

20286-502: Was established, the discoverers could propose a name. (In addition, the Commission of Atomic Weights was excluded from the naming process.) The first publication on criteria for an element discovery, released in 1991, specified the need for recognition by TWG. Armbruster and his colleagues, the officially recognized German discoverers, held a naming ceremony for the elements 107 through 109, which had all been recognized as discovered by GSI, on 7   September 1992. For element   108,

20433-459: Was held on 14 March 2021, and the results were as follows: Darmstadt is connected to a number of major roads, including two Autobahnen ( Bundesautobahn 5 and Bundesautobahn 67 ). The main road passing west–east is the Bundesstraße 26 , the Bundesstraße 3 runs north–south. The rural areas east of the city in the Odenwald are accessed by several secondary roads. Darmstadt is connected to

20580-576: Was in the library studying the Theorem. Upon realizing that, he concluded that the contemplation of mathematics was more rewarding than a beautiful woman so he decided not to kill himself. He bankrolled the Theorem because it "saved his life". On June 27, 1997, the prize was finally won by Andrew Wiles . By then, due in part to hyperinflation Germany suffered after the World War I , the award had dwindled to £30,000. The play From Abstraction by Robert Thorogood

20727-471: Was named hassium (Hs). Simultaneously, the name dubnium (Db; from Dubna, the JINR location) was assigned to element   105, and the name hahnium was not used for any element. The official justification for this naming, alongside that of darmstadtium for element   110, was that it completed a set of geographic names for the location of the GSI; this set had been initiated by 19th-century names europium and germanium . This set would serve as

20874-653: Was observed during the experiment and because changing either of the two nuclei in the reactions negated the observed effects. Physicists at the Lawrence Berkeley Laboratory (LBL; originally Radiation Laboratory, RL, and later Lawrence Berkeley National Laboratory , LBNL) of the University of California in Berkeley , California , United States, also expressed great interest in the new technique. When asked about how far this new method could go and if lead targets were

21021-678: Was part of the Royal Gardens used exclusively by the dukes of Darmstadt. Today it is a public park, heavily used in every season of the year. Other important parks are the French style parks Prinz-Georgs-Garten and Orangerie , the modern style Bürgerpark ("People's Park") in northern Darmstadt and the mystical Park Rosenhöhe ("Rose Heights"), which also serves as the cemetery for the dukes and their immediate family, with two impressive mausoleum buildings (Altes Mausoleum and Neues Mausoleum) in its remote parts. The Botanischer Garten in eastern Darmstadt

21168-613: Was placed in the middle of the square. While the column still stands, the square is today surrounded by mostly modern buildings. Other important squares are the Marktplatz (see image) near the old city hall and the Sabaisplatz at the Mathildenhöhe . The city has a high density of parks. Among the most important parks are the English style Herrngarten in central Darmstadt. In former times it

21315-432: Was seat of the ruling landgraves (1567–1806) and thereafter (to 1918) of the grand dukes of Hesse . The city's population grew during the 19th century, from a little over 10,000, to 72,000 inhabitants. A polytechnical school, which later became a Technical University now known as TU Darmstadt , was established in 1877. In the early 20th century, Darmstadt was an important centre for the art movement of Jugendstil ,

21462-460: Was the first city in Germany to force Jewish shops to close in early 1933, shortly after the Nazis took power in Germany. The shops were only closed for one day, for "endangering communal order and tranquility". In 1942, over 3,000 Jews from Darmstadt were first forced into a collection camp located in the Liebigschule, and later deported to concentration camps where most eventually died. In 1944,

21609-703: Was the only official Russian church used by the Tsar outside the Russian Empire . It is said that the chapel was built on Russian soil that was brought to Darmstadt exclusively for the purpose of building the Tsar's private chapel on it. Every year on the first weekend of July the Heinerfest festival is held in the streets surrounding the old ducal palace. It is a traditional German festival with music acts, beer halls , amusement rides and booths selling trinkets and food. The similar Schlossgrabenfest  [ de ] , which

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