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Paul Wolfskehl

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95-509: 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

190-480: A density of around 27–28 g/cm , which would be among the highest of any of the 118 known elements. Meitnerium is also predicted to be paramagnetic . Theoreticians have predicted the covalent radius of meitnerium to be 6 to 10 pm larger than that of iridium. The atomic radius of meitnerium is expected to be around 128 pm. Meitnerium is the first element on the periodic table whose chemistry has not yet been investigated. Unambiguous determination of

285-530: A half-life of 4.5 seconds, although the unconfirmed meitnerium-282 may have a longer half-life of 67 seconds. The element was first synthesized in August 1982 by the GSI Helmholtz Centre for Heavy Ion Research near Darmstadt , Germany, and it was named after Lise Meitner in 1997. In the periodic table , meitnerium is a d-block transactinide element . It is a member of the 7th period and

380-573: 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

475-547: 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

570-407: 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

665-540: 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

760-575: 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,

855-410: A stable +4 state. It is further expected that the maximum oxidation states of elements from bohrium (element 107) to darmstadtium (element 110) may be stable in the gas phase but not in aqueous solution. Meitnerium is expected to be a solid under normal conditions and assume a face-centered cubic crystal structure , similarly to its lighter congener iridium. It should be a very heavy metal with

950-531: 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

1045-619: A target of bismuth-209 with accelerated nuclei of iron -58 and detected a single atom of the isotope meitnerium-266: This work was confirmed three years later at the Joint Institute for Nuclear Research at Dubna (then in the Soviet Union ). Using Mendeleev's nomenclature for unnamed and undiscovered elements , meitnerium should be known as eka- iridium . In 1979, during the Transfermium Wars (but before

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1140-409: 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

1235-504: 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

1330-463: 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

1425-443: 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

1520-556: 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

1615-465: 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

1710-464: 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

1805-534: 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)

1900-706: 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),

1995-408: 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

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2090-482: Is placed in the group 9 elements , although no chemical experiments have yet been carried out to confirm that it behaves as the heavier homologue to iridium in group 9 as the seventh member of the 6d series of transition metals . Meitnerium is calculated to have properties similar to its lighter homologues, cobalt , rhodium , and iridium. A superheavy atomic nucleus is created in a nuclear reaction that combines two other nuclei of unequal size into one; roughly,

2185-522: 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 . Meitnerium Meitnerium is a synthetic chemical element ; it has symbol Mt and atomic number 109. It is an extremely radioactive synthetic element (an element not found in nature, but can be created in a laboratory). The most stable known isotope, meitnerium-278, has

2280-400: Is the seventh member of the 6d series of transition metals , and should be much like the platinum group metals . Calculations on its ionization potentials and atomic and ionic radii are similar to that of its lighter homologue iridium , thus implying that meitnerium's basic properties will resemble those of the other group 9 elements , cobalt , rhodium , and iridium. Prediction of

2375-426: Is volatile above 60 °C and therefore the analogous compound of meitnerium might also be sufficiently volatile; a volatile octafluoride ( MtF 8 ) might also be possible. For chemical studies to be carried out on a transactinide , at least four atoms must be produced, the half-life of the isotope used must be at least 1 second, and the rate of production must be at least one atom per week. Even though

2470-524: 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

2565-523: 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,

2660-545: 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

2755-512: 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

2850-658: 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

2945-641: 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

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3040-465: 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

3135-490: 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. Meitnerium was first synthesized on August 29, 1982, by a German research team led by Peter Armbruster and Gottfried Münzenberg at the Institute for Heavy Ion Research (Gesellschaft für Schwerionenforschung) in Darmstadt . The team bombarded

3230-784: 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

3325-634: 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

3420-464: The GSI attempted sublimation of the rhodium compounds rhodium(III) oxide (Rh 2 O 3 ) and rhodium(III) chloride (RhCl 3 ). However, macroscopic amounts of the oxide would not sublimate until 1000 °C and the chloride would not until 780 °C, and then only in the presence of carbon aerosol particles: these temperatures are far too high for such procedures to be used on meitnerium, as most of

3515-434: 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

3610-516: 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

3705-586: 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 ,

3800-535: 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

3895-529: 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

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3990-470: 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

4085-416: The challenges of low half-lives and difficult production reactions make meitnerium difficult to access for radiochemists, though the isotopes Mt and Mt are long-lived enough for chemical research and may be produced in the decay chains of Ts and Mc respectively. Mt is likely more suitable, since producing tennessine requires a rare and rather short-lived berkelium target. The isotope Mt, observed in

4180-416: The chemical characteristics of meitnerium has yet to have been established due to the short half-lives of meitnerium isotopes and a limited number of likely volatile compounds that could be studied on a very small scale. One of the few meitnerium compounds that are likely to be sufficiently volatile is meitnerium hexafluoride ( MtF 6 ), as its lighter homologue iridium hexafluoride ( IrF 6 )

4275-409: The chemical properties of a transactinide would need to compare a compound of that transactinide with analogous compounds of some of its lighter homologues: for example, in the chemical characterization of hassium, hassium tetroxide (HsO 4 ) was compared with the analogous osmium compound, osmium tetroxide (OsO 4 ). In a preliminary step towards determining the chemical properties of meitnerium,

4370-522: 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

4465-462: The current methods used for the investigation of the chemistry of superheavy elements do not work above 500 °C. Following the 2014 successful synthesis of seaborgium hexacarbonyl, Sg(CO) 6 , studies were conducted with the stable transition metals of groups 7 through 9, suggesting that carbonyl formation could be extended to further probe the chemistries of the early 6d transition metals from rutherfordium to meitnerium inclusive. Nevertheless,

4560-492: 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,

4655-464: The deformed shell closure at N  = 162 and spherical shell closure at N  = 184, is consistent with theoretical models. Other than nuclear properties, no properties of meitnerium or its compounds have been measured; this is due to its extremely limited and expensive production and the fact that meitnerium and its parents decay very quickly. Properties of meitnerium metal remain unknown and only predictions are available. Meitnerium

4750-906: 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

4845-592: 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

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4940-430: 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

5035-411: The final decay product of Ts for the first time in 2012, was observed to undergo spontaneous fission with a half-life of 5 milliseconds. Preliminary data analysis considered the possibility of this fission event instead originating from Hs, for it also has a half-life of a few milliseconds, and could be populated following undetected electron capture somewhere along the decay chain. This possibility

5130-454: 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

5225-403: The half-life of Mt, the most stable confirmed meitnerium isotope, is 4.5 seconds, long enough to perform chemical studies, another obstacle is the need to increase the rate of production of meitnerium isotopes and allow experiments to carry on for weeks or months so that statistically significant results can be obtained. Separation and detection must be carried out continuously to separate out

5320-850: 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)

5415-530: 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

5510-516: 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

5605-436: The isotope Mt in 2002–2003 for a possible chemical investigation of meitnerium, because it was expected that it might be more stable than nearby isotopes due to having 162 neutrons , a magic number for deformed nuclei; its half-life was predicted to be a few seconds, long enough for a chemical investigation. However, no atoms of Mt were detected; this isotope of meitnerium is currently unknown. An experiment determining

5700-550: The laboratory, either by fusing two atoms or by observing the decay of heavier elements. Eight different isotopes of meitnerium have been reported with mass numbers 266, 268, 270, and 274–278, two of which, meitnerium-268 and meitnerium-270, have unconfirmed metastable states . A ninth isotope with mass number 282 is unconfirmed. Most of these decay predominantly through alpha decay, although some undergo spontaneous fission. All meitnerium isotopes are extremely unstable and radioactive; in general, heavier isotopes are more stable than

5795-531: 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

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5890-420: The lighter. The most stable known meitnerium isotope, Mt, is also the heaviest known; it has a half-life of 4.5 seconds. The unconfirmed Mt is even heavier and appears to have a longer half-life of 67 seconds. With a half-life of 0.8 seconds, the next most stable known isotope is Mt. The isotopes Mt and Mt have half-lives of 0.62 and 0.64 seconds respectively. The isotope Mt, created as

5985-423: 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

6080-410: 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

6175-584: 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

6270-523: The meitnerium isotopes and have automated systems experiment on the gas-phase and solution chemistry of meitnerium, as the yields for heavier elements are predicted to be smaller than those for lighter elements; some of the separation techniques used for bohrium and hassium could be reused. However, the experimental chemistry of meitnerium has not received as much attention as that of the heavier elements from copernicium to livermorium . The Lawrence Berkeley National Laboratory attempted to synthesize

6365-462: The more unequal the two nuclei in terms of mass , 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

6460-570: The most stable in aqueous solutions . In comparison, rhodium and iridium show a maximum oxidation state of +6, while the most stable states are +4 and +3 for iridium and +3 for rhodium. The oxidation state +9, represented only by iridium in [IrO 4 ] , might be possible for its congener meitnerium in the nonafluoride (MtF 9 ) and the [MtO 4 ] cation, although [IrO 4 ] is expected to be more stable than these meitnerium compounds. The tetrahalides of meitnerium have also been predicted to have similar stabilities to those of iridium, thus also allowing

6555-586: 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,

6650-638: 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

6745-721: 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

6840-561: 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

6935-462: The probable chemical properties of meitnerium has not received much attention recently. Meitnerium is expected to be a noble metal . The standard electrode potential for the Mt /Mt couple is expected to be 0.8 V. Based on the most stable oxidation states of the lighter group 9 elements, the most stable oxidation states of meitnerium are predicted to be the +6, +3, and +1 states, with the +3 state being

7030-422: The recommendations were mostly ignored among scientists in the field, who either called it "element 109", with the symbol of E109 , (109) or even simply 109 , or used the proposed name "meitnerium". The naming of meitnerium was discussed in the element naming controversy regarding the names of elements 104 to 109, but meitnerium was the only proposal and thus was never disputed. The name meitnerium (Mt)

7125-488: 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

7220-508: 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

7315-702: 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

7410-430: The synthesis of meitnerium), IUPAC published recommendations according to which the element was to be called unnilennium (with the corresponding symbol of Une ), a systematic element name as a placeholder , until the element was discovered (and the discovery then confirmed) and a permanent name was decided on. Although widely used in the chemical community on all levels, from chemistry classrooms to advanced textbooks,

7505-429: 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

7600-403: 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

7695-451: 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

7790-457: 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.

7885-410: 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

7980-827: 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

8075-444: 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,

8170-615: 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

8265-465: 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

8360-586: 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

8455-416: Was later deemed very unlikely based on observed decay energies of Ds and Rg and the short half-life of Mt, although there is still some uncertainty of the assignment. Regardless, the rapid fission of Mt and Hs is strongly suggestive of a region of instability for superheavy nuclei with N  = 168–170. The existence of this region, characterized by a decrease in fission barrier height between

8550-689: 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

8645-637: 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

8740-432: 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 ,

8835-656: Was suggested by the GSI team in September 1992 in honor of the Austrian physicist Lise Meitner , a co-discoverer of protactinium (with Otto Hahn ), and one of the discoverers of nuclear fission . In 1994 the name was recommended by IUPAC , and was officially adopted in 1997. It is thus the only element named specifically after a non-mythological woman ( curium being named for both Pierre and Marie Curie ). Meitnerium has no stable or naturally occurring isotopes. Several radioactive isotopes have been synthesized in

8930-466: 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,

9025-720: 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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