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included in the BC nor the AD time scales. Terminology that is viewed by some as being more neutral and inclusive of non-Christian people is to call this the Current or Common Era (abbreviated as CE), with the preceding years referred to as Before the Common or Current Era (BCE). Astronomical year numbering and ISO 8601 avoid words or abbreviations related to Christianity, but use the same numbers for AD years. The "Anno Domini" dating system was devised in 525 by Dionysius Exiguus to enumerate the years in his Easter table. His system was to replace the Diocletian era that
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"Anno Domini"
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] |
6902
|
had been used in an old Easter table because he did not wish to continue the memory of a tyrant who persecuted Christians. The last year of the old table, Diocletian 247, was immediately followed by the first year of his table, AD 532. When he devised his table, Julian calendar years were identified by naming the consuls who held office that year—he himself stated that the "present year" was "the consulship of Probus Junior", which was 525 years "since the incarnation of our Lord Jesus Christ". Thus Dionysius implied that Jesus' incarnation occurred 525 years earlier, without stating the
|
"Anno Domini"
|
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] |
6903
|
specific year during which his birth or conception occurred. "However, nowhere in his exposition of his table does Dionysius relate his epoch to any other dating system, whether consulate, Olympiad, year of the world, or regnal year of Augustus; much less does he explain or justify the underlying date." Bonnie J. Blackburn and Leofranc Holford-Strevens briefly present arguments for 2 BC, 1 BC, or AD 1 as the year Dionysius intended for the Nativity or incarnation. Among the sources of confusion are: It is not known how Dionysius established the year of Jesus's birth. Two major theories are that Dionysius
|
"Anno Domini"
|
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] |
6904
|
based his calculation on the Gospel of Luke, which states that Jesus was "about thirty years old" shortly after "the fifteenth year of the reign of Tiberius Caesar", and hence subtracted thirty years from that date, or that Dionysius counted back 532 years from the first year of his new table. It has also been speculated by Georges Declercq that Dionysius' desire to replace Diocletian years with a calendar based on the incarnation of Christ was intended to prevent people from believing the imminent end of the world. At the time, it was believed by some that the resurrection of
|
"Anno Domini"
|
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] |
6905
|
the dead and end of the world would occur 500 years after the birth of Jesus. The old "Anno Mundi" calendar theoretically commenced with the creation of the world based on information in the Old Testament. It was believed that, based on the "Anno Mundi" calendar, Jesus was born in the year 5500 (or 5500 years after the world was created) with the year 6000 of the "Anno Mundi" calendar marking the end of the world. "Anno Mundi" 6000 (approximately AD 500) was thus equated with the resurrection and the end of the world but this date had already passed
|
"Anno Domini"
|
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0.5009148716926575,
0.09850610047578812
] |
6906
|
in the time of Dionysius. The Anglo-Saxon historian the Venerable Bede, who was familiar with the work of Dionysius Exiguus, used "Anno Domini" dating in his "Ecclesiastical History of the English People", completed in 731. In this same history, he also used another Latin term, "ante vero incarnationis dominicae tempus anno sexagesimo" ("in fact in the 60th year before the time of the Lord's incarnation"), equivalent to the English "before Christ", to identify years before the first year of this era. Both Dionysius and Bede regarded "Anno Domini" as beginning at the incarnation of Jesus, but "the distinction between Incarnation
|
"Anno Domini"
|
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] |
6907
|
and Nativity was not drawn until the late 9th century, when in some places the Incarnation epoch was identified with Christ's conception, i.e., the Annunciation on March 25" ("Annunciation style"). On the continent of Europe, "Anno Domini" was introduced as the era of choice of the Carolingian Renaissance by the English cleric and scholar Alcuin in the late eighth century. Its endorsement by Emperor Charlemagne and his successors popularizing the use of the epoch and spreading it throughout the Carolingian Empire ultimately lies at the core of the system's prevalence. According to the Catholic Encyclopedia, popes continued to date documents
|
"Anno Domini"
|
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] |
6908
|
according to regnal years for some time, but usage of AD gradually became more common in Roman Catholic countries from the 11th to the 14th centuries. In 1422, Portugal became the last Western European country to switch to the system begun by Dionysius. Eastern Orthodox countries only began to adopt AD instead of the Byzantine calendar in 1700 when Russia did so, with others adopting it in the 19th and 20th centuries. Although "Anno Domini" was in widespread use by the 9th century, the term "Before Christ" (or its equivalent) did not become common until much later. Bede used the
|
"Anno Domini"
|
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] |
6909
|
expression ""anno igitur ante incarnationem Dominicam"" (so in the year before the incarnation of the Lord) twice. ""Anno an xpi nativitate"" (in the year before the birth of Christ) is found in 1474 in a work by a German monk. In 1627, the French Jesuit theologian Denis Pétau (Dionysius Petavius in Latin), with his work "De doctrina temporum", popularized the usage "ante Christum" (Latin for "Before Christ") to mark years prior to AD. When the reckoning from Jesus' incarnation began replacing the previous dating systems in western Europe, various people chose different Christian feast days to begin the year: Christmas,
|
"Anno Domini"
|
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] |
6910
|
Annunciation, or Easter. Thus, depending on the time and place, the year number changed on different days in the year, which created slightly different styles in chronology: With these various styles, the same day could, in some cases, be dated in 1099, 1100 or 1101. The date of birth of Jesus of Nazareth is not stated in the gospels or in any secular text, but most scholars assume a date of birth between 6 BC and 4 BC. The historical evidence is too fragmentary to allow a definitive dating, but the date is estimated through two different approaches – one
|
"Anno Domini"
|
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0.2726104259490967
] |
6911
|
by analyzing references to known historical events mentioned in the Nativity accounts in the Gospels of Luke and Matthew, and the second by working backwards from the estimation of the start of the ministry of Jesus. During the first six centuries of what would come to be known as the Christian era, European countries used various systems to count years. Systems in use included consular dating, imperial regnal year dating, and Creation dating. Although the last non-imperial consul, Basilius, was appointed in 541 by Emperor Justinian I, later emperors through Constans II (641–668) were appointed consuls on the first 1
|
"Anno Domini"
|
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] |
6912
|
January after their accession. All of these emperors, except Justinian, used imperial post-consular years for the years of their reign, along with their regnal years. Long unused, this practice was not formally abolished until Novell XCIV of the law code of Leo VI did so in 888. Another calculation had been developed by the Alexandrian monk Annianus around the year AD 400, placing the Annunciation on 25 March AD 9 (Julian)—eight to ten years after the date that Dionysius was to imply. Although this incarnation was popular during the early centuries of the Byzantine Empire, years numbered from it, an
|
"Anno Domini"
|
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] |
6913
|
"Era of Incarnation", were exclusively used and are yet used, in Ethiopia. This accounts for the seven- or eight-year discrepancy between the Gregorian and Ethiopian calendars. Byzantine chroniclers like Maximus the Confessor, George Syncellus, and Theophanes dated their years from Annianus' creation of the world. This era, called "Anno Mundi", "year of the world" (abbreviated AM), by modern scholars, began its first year on 25 March 5492 BC. Later Byzantine chroniclers used "Anno Mundi" years from 1 September 5509 BC, the Byzantine Era. No single "Anno Mundi" epoch was dominant throughout the Christian world. Eusebius of Caesarea in his "Chronicle"
|
"Anno Domini"
|
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] |
6914
|
used an era beginning with the birth of Abraham, dated in 2016 BC (AD 1 = 2017 Anno Abrahami). Spain and Portugal continued to date by the Era of the Caesars or Spanish Era, which began counting from 38 BC, well into the Middle Ages. In 1422, Portugal became the last Catholic country to adopt the "Anno Domini" system. The Era of Martyrs, which numbered years from the accession of Diocletian in 284, who launched the last yet most severe persecution of Christians, was used by the Church of Alexandria and is still used, officially, by the Coptic Orthodox and
|
"Anno Domini"
|
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] |
6915
|
Coptic Catholic churches. It was also used by the Ethiopian church. Another system was to date from the crucifixion of Jesus, which as early as Hippolytus and Tertullian was believed to have occurred in the consulate of the Gemini (AD 29), which appears in some medieval manuscripts. Alternative names for the "Anno Domini" era include "vulgaris aerae" (found 1615 in Latin), "Vulgar Era" (in English, as early as 1635), "Christian Era" (in English, in 1652), "Common Era" (in English, 1708), and "Current Era". Since 1856, the alternative abbreviations CE and BCE, (sometimes written C.E. and B.C.E.) are sometimes used in
|
"Anno Domini"
|
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] |
6916
|
place of AD and BC. The "Common/Current Era" ("CE") terminology is often preferred by those who desire a term that does not explicitly make religious references. For example, Cunningham and Starr (1998) write that "B.C.E./C.E. …do not presuppose faith in Christ and hence are more appropriate for interfaith dialog than the conventional B.C./A.D." Upon its foundation, the Republic of China adopted the Minguo Era, but used the Western calendar for international purposes. The translated term was 西元 ("xī yuán", "Western Era"). Later, in 1949, the People's Republic of China adopted 公元 ("gōngyuán", "Common Era") for all purposes domestic and foreign.
|
"Anno Domini"
|
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] |
6917
|
In the AD year numbering system, whether applied to the Julian or Gregorian calendars, AD 1 is preceded by 1 BC. There is no year "0" between them, so a new century begins in a year which has "01" as the final digits (e.g., 1801, 1901, 2001). New millennia likewise are considered to have begun in 1001 and 2001. This is at odds with the common conception that centuries and millennia begin when the trailing digits are zeroes (1800, 1900, 2000, etc.); for example, the worldwide celebration of the new millennium took place on New Year's Eve 1999, when the
|
"Anno Domini"
|
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] |
6918
|
year number ticked over to 2000. For computational reasons, astronomical year numbering and the ISO 8601 standard designate years so that AD 1 = year 1, 1 BC = year 0, 2 BC = year −1, etc. In common usage, ancient dates are expressed in the Julian calendar, but ISO 8601 uses the Gregorian calendar and astronomers may use a variety of time scales depending on the application. Thus dates using the year 0 or negative years may require further investigation before being converted to BC or AD. Anno Domini The terms (AD) and before Christ (BC) are used to
|
"Anno Domini"
|
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6919
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Alcuin Alcuin of York (; ; 735 – 19 May 804 AD)—also called Ealhwine, Alhwin or Alchoin—was an English scholar, clergyman, poet and teacher from York, Northumbria. He was born around 735 and became the student of Archbishop Ecgbert at York. At the invitation of Charlemagne, he became a leading scholar and teacher at the Carolingian court, where he remained a figure in the 780s and '90s. Alcuin wrote many theological and dogmatic treatises, as well as a few grammatical works and a number of poems. He was made Abbot of Tours in 796, where he remained until his death.
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Alcuin
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] |
6920
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"The most learned man anywhere to be found", according to Einhard's "Life of Charlemagne" ("ca." 817-833), he is considered among the most important architects of the Carolingian Renaissance. Among his pupils were many of the dominant intellectuals of the Carolingian era. Alcuin was born in Northumbria, presumably sometime in the 730s. Virtually nothing is known of his parents, family background, or origin. In common hagiographical fashion, the "Vita Alcuini" asserts that Alcuin was 'of noble English stock,' and this statement has usually been accepted by scholars. Alcuin's own work only mentions such collateral kinsmen as Wilgils, father of the missionary
|
Alcuin
|
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] |
6921
|
saint Willibrord; and Beornred, abbot of Echternach and bishop of Sens, who was more distantly related. In his "Life" of St Willibrord, Alcuin writes that Wilgils, called a "paterfamilias", had founded an oratory and church at the mouth of the Humber, which had fallen into Alcuin's possession by inheritance. Because in early Anglo-Latin writing "paterfamilias" ("head of a family, householder") usually referred to a ceorl, Donald A. Bullough suggests that Alcuin's family was of cierlisc status: "i.e.," free but subordinate to a noble lord, and that Alcuin and other members of his family rose to prominence through beneficial connections with
|
Alcuin
|
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] |
6922
|
the aristocracy. If so, Alcuin's origins may lie in the southern part of what was formerly known as Deira. The young Alcuin came to the cathedral church of York during the golden age of Archbishop Ecgbert and his brother, the Northumbrian King Eadberht. Ecgbert had been a disciple of the Venerable Bede, who urged him to raise York to an archbishopric. King Eadberht and Archbishop Ecgbert oversaw the re-energising and re-organisation of the English church, with an emphasis on reforming the clergy and on the tradition of learning that Bede had begun. Ecgbert was devoted to Alcuin, who thrived under
|
Alcuin
|
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] |
6923
|
his tutelage. The York school was renowned as a centre of learning in the liberal arts, literature, and science, as well as in religious matters. It was from here that Alcuin drew inspiration for the school he would lead at the Frankish court. He revived the school with the trivium and quadrivium disciplines, writing a codex on the trivium, while his student Hraban wrote one on the quadrivium. Alcuin graduated to become a teacher during the 750s. His ascendancy to the headship of the York school, the ancestor of St Peter's School, began after Aelbert became Archbishop of York in
|
Alcuin
|
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] |
6924
|
767. Around the same time Alcuin became a deacon in the church. He was never ordained a priest. Though there is no real evidence that he took monastic vows, he lived as if he had. In 781, King Elfwald sent Alcuin to Rome to petition the Pope for official confirmation of York's status as an archbishopric and to confirm the election of the new archbishop, Eanbald I. On his way home he met Charlemagne (whom he had met once before), this time in the Italian city of Parma. Alcuin's intellectual curiosity allowed him to be reluctantly persuaded to join Charlemagne's
|
Alcuin
|
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] |
6925
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court. He joined an illustrious group of scholars that Charlemagne had gathered around him, the mainsprings of the Carolingian Renaissance: Peter of Pisa, Paulinus of Aquileia, Rado, and Abbot Fulrad. Alcuin would later write that "the Lord was calling me to the service of King Charles." Alcuin became Master of the Palace School of Charlemagne in Aachen ("Urbs Regale") in 782. It had been founded by the king's ancestors as a place for the education of the royal children (mostly in manners and the ways of the court). However, Charlemagne wanted to include the liberal arts and, most importantly, the
|
Alcuin
|
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] |
6926
|
study of religion. From 782 to 790, Alcuin taught Charlemagne himself, his sons Pepin and Louis, as well as young men sent to be educated at court, and the young clerics attached to the palace chapel. Bringing with him from York his assistants Pyttel, Sigewulf, and Joseph, Alcuin revolutionised the educational standards of the Palace School, introducing Charlemagne to the liberal arts and creating a personalised atmosphere of scholarship and learning, to the extent that the institution came to be known as the 'school of Master Albinus'. In this role as adviser, he took issue with the emperor's policy of
|
Alcuin
|
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] |
6927
|
forcing pagans to be baptised on pain of death, arguing, "Faith is a free act of the will, not a forced act. We must appeal to the conscience, not compel it by violence. You can force people to be baptised, but you cannot force them to believe." His arguments seem to have prevailed – Charlemagne abolished the death penalty for paganism in 797. Charlemagne gathered the best men of every land in his court, and became far more than just the king at the centre. It seems that he made many of these men his closest friends and counsellors. They
|
Alcuin
|
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] |
6928
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referred to him as 'David', a reference to the Biblical king David. Alcuin soon found himself on intimate terms with Charlemagne and the other men at court, where pupils and masters were known by affectionate and jesting nicknames. Alcuin himself was known as 'Albinus' or 'Flaccus'. While at Aachen, Alcuin bestowed pet names upon his pupils – derived mainly from Virgil's "Eclogues". According to the "Encyclopædia Britannica", "He loved Charlemagne and enjoyed the king's esteem, but his letters reveal that his fear of him was as great as his love. In 790 Alcuin returned from the court of Charlemagne to
|
Alcuin
|
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] |
6929
|
England, to which he had remained attached. He dwelt there for some time, but Charlemagne then invited him back to help in the fight against the Adoptionist heresy which was at that time making great progress in Toledo, the old capital of the Visigoths and still a major city for the Christians under Islamic rule in Spain. He is believed to have had contacts with Beatus of Liébana, from the Kingdom of Asturias, who fought against Adoptionism. At the Council of Frankfurt in 794, Alcuin upheld the orthodox doctrine against the views expressed by Felix of Urgel, an heresiarch according
|
Alcuin
|
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] |
6930
|
to the Catholic Encyclopaedia. Having failed during his stay in Northumbria to influence King Æthelred in the conduct of his reign, Alcuin never returned home. He was back at Charlemagne's court by at least mid-792, writing a series of letters to Æthelred, to Hygbald, Bishop of Lindisfarne, and to Æthelhard, Archbishop of Canterbury in the succeeding months, dealing with the Viking attack on Lindisfarne in July 793. These letters and Alcuin's poem on the subject, "De clade Lindisfarnensis monasterii", provide the only significant contemporary account of these events. In his description of the Viking attack, he wrote: ""Never before has
|
Alcuin
|
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] |
6931
|
such terror appeared in Britain. Behold the church of St Cuthbert, splattered with the blood of God's priests, robbed of its ornaments"." In 796 Alcuin was in his sixties. He hoped to be free from court duties and upon the death of Abbot Itherius of Saint Martin at Tours, Charlemagne put Marmoutier Abbey into Alcuin's care, with the understanding that he should be available if the king ever needed his counsel. There he encouraged the work of the monks on the beautiful Carolingian minuscule script, ancestor of modern Roman typefaces. Alcuin died on 19 May 804, some ten years before
|
Alcuin
|
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] |
6932
|
the emperor, and was buried at St. Martin's Church under an epitaph that partly read: The majority of details on Alcuin's life come from his letters and poems. There are also autobiographical sections in Alcuin's poem on York and in the "Vita Alcuini", a "Life" written for him at Ferrières in the 820s, possibly based in part on the memories of Sigwulf, one of Alcuin's pupils. The collection of mathematical and logical word problems entitled "Propositiones ad acuendos juvenes" ("Problems to Sharpen Youths") is sometimes attributed to Alcuin. In a 799 letter to Charlemagne the scholar claimed to have sent
|
Alcuin
|
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] |
6933
|
"certain figures of arithmetic for the joy of cleverness," which some scholars have identified with the "Propositiones." The text contains about 53 mathematical word problems (with solutions), in no particular pedagogical order. Among the most famous of these problems are: four that involve river crossings, including the problem of three anxious brothers, each of whom has an unmarried sister whom he cannot leave alone with either of the other men lest she be defiled (Problem 17); the problem of the wolf, goat, and cabbage (Problem 18); and the problem of "the two adults and two children where the children weigh
|
Alcuin
|
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] |
6934
|
half as much as the adults" (Problem 19). Alcuin's sequence is the solution to one of the problems of that book. Alcuin made the abbey school into a model of excellence and many students flocked to it. He had many manuscripts copied using outstandingly beautiful calligraphy, the Carolingian minuscule based on round and legible uncial letters. He wrote many letters to his English friends, to Arno, bishop of Salzburg and above all to Charlemagne. These letters (of which 311 are extant) are filled mainly with pious meditations, but they form an important source of information as to the literary and
|
Alcuin
|
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] |
6935
|
social conditions of the time and are the most reliable authority for the history of humanism during the Carolingian age. Alcuin trained the numerous monks of the abbey in piety, and it was in the midst of these pursuits that he died. Alcuin is the most prominent figure of the Carolingian Renaissance, in which three main periods have been distinguished: in the first of these, up to the arrival of Alcuin at the court, the Italians occupy a central place; in the second, Alcuin and the Anglo-Saxons are dominant; in the third (from 804), the influence of Theodulf, the Visigoth
|
Alcuin
|
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] |
6936
|
is preponderant. Alcuin also developed manuals used in his educational work – a grammar and works on rhetoric and dialectics. These are written in the form of dialogues, and in two of them the interlocutors are Charlemagne and Alcuin. He wrote several theological treatises: a "De fide Trinitatis", and commentaries on the Bible. Alcuin is credited with inventing the first known question mark, though it didn't resemble the modern symbol. Alcuin transmitted to the Franks the knowledge of Latin culture which had existed in Anglo-Saxon England. A number of his works still exist. Besides some graceful epistles in the style
|
Alcuin
|
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6937
|
of Venantius Fortunatus, he wrote some long poems, and notably he is the author of a history (in verse) of the church at York, "Versus de patribus, regibus et sanctis Eboracensis ecclesiae". According to David Clark, passages in some of Alcuin's writings display homosocial desire, even possibly homoerotic imagery. However, Clark says it is not possible to determine whether they were the result of an outward expression of erotic feelings. Historian John Boswell cited this as a personal outpouring of Alcuin's internalized homosexual feelings. Others agree that Alcuin at times "comes perilously close to communicating openly his same sex desires",
|
Alcuin
|
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] |
6938
|
and this reflects the erotic subculture of the Carolingian monastic school, but also perhaps a 'queer space' where "erotic attachment and affections may be safely articulated". Erotic and religious love are intertwined in Alcuin's writings, and he frequently "eroticizes his personal relationships to his beloved friends". Alcuin's friendships also extended to the ladies of the court, especially the queen mother and the king's daughters, though David Bromell is of the opinion that Alcuin's relationships with these women never reached the intense level of those of the men around him. Alcuin was a close friend of Charlemagne's sister Gisela, Abbess of
|
Alcuin
|
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] |
6939
|
Chelles, whom he "hailed as a noble sister in the bond of sweet love". He wrote to Charlemagne's daughters Rotrudis and Bertha that "the devotion of my heart specially tends towards you both because of the familiarity and dedication you have shown me." His nickname for Gisela was "Julia", for Rotrudis "Columba". He dedicated the last two books of his commentary on John's gospel to them both. The interpretation of homosexual desire has been disputed by Allen Frantzen, who identifies Alcuin's language with that of medieval Christian "amicitia" or friendship. Karl Liersch, in his 1880 inaugural dissertation, cites several passages
|
Alcuin
|
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] |
6940
|
from poems by Theodulf of Orleans. In these poems Theodulf reports that Alcuin had a female muse named Delia at the king's court (she was probably Charlemagne's daughter). Delia is also the addressee of several poems by Alcuin. Douglas Dales and Rowan Williams say "the use of language drawn [by Alcuin] from the "Song of Songs" transforms apparently erotic language into something within Christian friendship - 'an ordained affection'." Despite inconclusive evidence of Alcuin's personal passions, he was clear in his own writings that the men of Sodom had been punished with fire for "sinning against nature with men" —
|
Alcuin
|
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] |
6941
|
a view commonly held by the Church at the time. Such sins, argued Alcuin, were therefore more serious than lustful acts with women, for which the earth was cleansed and revivified by the water of the Flood, and merit to be "withered by flames unto eternal barrenness." In several churches of the Anglican Communion, Alcuin is celebrated on 20 May, the first available day after the day of his death (as Dunstan is celebrated on 19 May). Alcuin College, one of the colleges of the University of York, England, is named after him. For a complete census of Alcuin's works,
|
Alcuin
|
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] |
6942
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see Marie-Hélène Jullien and Françoise Perelman, eds., "Clavis scriptorum latinorum medii aevi: Auctores Galliae 735–987. Tomus II: Alcuinus." Turnhout: Brepols, 1999. Of Alcuin's letters, just over 310 have survived. Alcuin Alcuin of York (; ; 735 – 19 May 804 AD)—also called Ealhwine, Alhwin or Alchoin—was an English scholar, clergyman, poet and teacher from York, Northumbria. He was born around 735 and became the student of Archbishop Ecgbert at York. At the invitation of Charlemagne, he became a leading scholar and teacher at the Carolingian court, where he remained a figure in the 780s and '90s. Alcuin wrote many theological
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Alcuin
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6943
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Angilbert Saint Angilbert ( – 18 February 814), sometimes known as Angilberk or Engelbert, was a noble Frankish poet who was educated under Alcuin and served Charlemagne as a secretary, diplomat, and son-in-law. He was venerated as a pre-Congregation saint and is still honored on the day of his death, 18 February. Angilbert seems to have been brought up at the court of Charlemagne at the palace school in Aquae Grani (Aachen). He was educated there as the pupil and then friend of the great English scholar Alcuin. When Charlemagne sent his young son Pepin to Italy as King of
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Angilbert
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] |
6944
|
the Lombards Angilbert went along as "primicerius palatii," a high administrator of the satellite court. As the friend and adviser of Pepin, he assisted for a while in the government of Italy. Angilbert delivered the document on Iconoclasm from the Frankish Synod of Frankfurt to Pope Adrian I, and was later sent on three important embassies to the pope, in 792, 794, and 796. At one time, he served an officer of the maritime provinces. He accompanied Charlemagne to Rome in 800 and was one of the witnesses to his will in 811. There are various traditions concerning Angilbert's relationship
|
Angilbert
|
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] |
6945
|
with Bertha, daughter of Charlemagne. One holds that they were married, another that they were not. They had, however, at least two sons and one daughter, one of whom, Nithard, became a notable figure in the mid-9th century, and the daughter Bertha, went on to marry Helgaud II, count of Ponthieu. Control of marriage and the meanings of legitimacy were hotly contested in the Middle Ages. Bertha and Angilbert are an example of how resistance to the idea of a sacramental marriage could coincide with holding church offices. On the other hand, some historians have speculated that Charlemagne opposed formal
|
Angilbert
|
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0.1671098917722702
] |
6946
|
marriages for his daughters out of concern for political rivalries from their potential husbands; none of Charlemagne's daughters were married, despite political offers of arranged marriages. In 790, he retired to the abbey of Centulum, the "Monastery of St Richarius" () at present-day Saint-Riquier in Picardy. Elected abbot in 794, he rebuilt the monastery and endowed it with a library of 200 volumes. It was not uncommon for the Merovingian, Carolingian, or later kings to make laymen abbots of monasteries; the layman would often use the income of the monastery as his own and leave the monks a bare minimum
|
Angilbert
|
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] |
6947
|
for the necessary expenses of the foundation. Angilbert, in contrast, spent a great deal rebuilding Saint-Riquier; when he completed it, Charlemagne spent Easter of the year 800 there. In keeping with Carolingian policies, Angilbert established a school at Saint-Riquier to educate the local boys. His Latin poems reveal the culture and tastes of a man of the world, enjoying the closest intimacy with the imperial family. Charlemagne and the other men at court were known by affectionate and jesting nicknames. Charlemagne was referred to as "David", a reference to the Biblical king David. Angilbert was nicknamed "Homer" because he wrote
|
Angilbert
|
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] |
6948
|
poetry, and was the probable author of an epic, of which the fragment which has been preserved describes the life at the palace and the meeting between Charlemagne and Leo III. It is a mosaic from Virgil, Ovid, Lucan and Venantius Fortunatus, composed in the manner of Einhard's use of Suetonius. Of the shorter poems, besides the greeting to Pippin on his return from the campaign against the Avars (796), an epistle to David (i.e., Charlemagne) incidentally reveals a delightful picture of the poet living with his children in a house surrounded by pleasant gardens near the emperor's palace. The
|
Angilbert
|
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] |
6949
|
reference to Bertha, however, is distant and respectful, her name occurring merely on the list of princesses to whom he sends his salutation. Angilbert's poems were published by Ernst Dümmler in the "Monumenta Germaniae Historica". For criticisms of this edition, see Ludwig Traube in Max Roediger's "Schriften für germanische Philologie" (1888). Attribution: Angilbert Saint Angilbert ( – 18 February 814), sometimes known as Angilberk or Engelbert, was a noble Frankish poet who was educated under Alcuin and served Charlemagne as a secretary, diplomat, and son-in-law. He was venerated as a pre-Congregation saint and is still honored on the day of
|
Angilbert
|
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] |
6950
|
Amine In organic chemistry, amines (, ) are compounds and functional groups that contain a basic nitrogen atom with a lone pair. Amines are formally derivatives of ammonia, wherein one or more hydrogen atoms have been replaced by a substituent such as an alkyl or aryl group (these may respectively be called alkylamines and arylamines; amines in which both types of substituent are attached to one nitrogen atom may be called alkylarylamines). Important amines include amino acids, biogenic amines, trimethylamine, and aniline; see for a list of amines. Inorganic derivatives of ammonia are also called amines, such as chloramine (NClH);
|
Amine
|
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0.26161056756973267,
0.1484702080488205
] |
6951
|
see . The substituent -NH is called an amino group. Compounds with a nitrogen atom attached to a carbonyl group, thus having the structure R–CO–NR′R″, are called amides and have different chemical properties from amines. Amines can be classified according to the nature and number of substituents on nitrogen. Aliphatic amines contain only H and alkyl substituents. Aromatic amines have the nitrogen atom connected to an aromatic ring. Amines, alkyl and aryl alike, are organized into three subcategories based on the number of carbon atoms adjacent to the nitrogen: A fourth subcategory is determined by the connectivity of the substituents
|
Amine
|
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] |
6952
|
attached to the nitrogen: It is also possible to have four organic substituents on the nitrogen. These species are not amines but are quaternary ammonium cations and have a charged nitrogen center. Quaternary ammonium salts exist with many kinds of anions. Amines are named in several ways. Typically, the compound is given the prefix "amino-" or the suffix: "-amine". The prefix ""N"-" shows substitution on the nitrogen atom. An organic compound with multiple amino groups is called a diamine, triamine, tetraamine and so forth. Systematic names for some common amines: Hydrogen bonding significantly influences the properties of primary and secondary
|
Amine
|
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] |
6953
|
amines. For example, methyl and ethyl amines are gases under standard conditions, whereas the corresponding methyl and ethyl alcohols are liquids. Amines possess a characteristic ammonia smell, liquid amines have a distinctive "fishy" smell. The nitrogen atom features a lone electron pair that can bind H to form an ammonium ion RNH. The lone electron pair is represented in this article by a two dots above or next to the N. The water solubility of simple amines is enhanced by hydrogen bonding involving these lone electron pairs. Typically salts of ammonium compounds exhibit the following order of solubility in water:
|
Amine
|
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0.202473446726799
] |
6954
|
primary ammonium () > secondary ammonium () > tertiary ammonium (RNH). Small aliphatic amines display significant solubility in many solvents, whereas those with large substituents are lipophilic. Aromatic amines, such as aniline, have their lone pair electrons conjugated into the benzene ring, thus their tendency to engage in hydrogen bonding is diminished. Their boiling points are high and their solubility in water is low. Typically the presence of an amine functional group is deduced by a combination of techniques, including mass spectrometry as well as NMR and IR spectroscopies. H NMR signals for amines disappear upon treatment of the sample
|
Amine
|
[
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] |
6955
|
with DO. In their infrared spectrum primary amines exhibit two N-H bands, whereas secondary amines exhibit only one. Alkyl amines characteristically feature tetrahedral nitrogen centers. C-N-C and C-N-H angles approach the idealized angle of 109°. C-N distances are slightly shorter than C-C distances. The energy barrier for the nitrogen inversion of the stereocenter is about 7 kcal/mol for a trialkylamine. The interconversion has been compared to the inversion of an open umbrella into a strong wind. Amines of the type NHRR′ and NRR′R″ are chiral: the nitrogen center bears four substituents counting the lone pair. Because of the low barrier
|
Amine
|
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6956
|
to inversion, amines of the type NHRR′ cannot be obtained in optical purity. For chiral tertiary amines, NRR′R″ can only be resolved when the R, R′, and R″ groups are constrained in cyclic structures such as N-substituted aziridines (quaternary ammonium salts are resolvable). In aromatic amines ("anilines"), nitrogen is often nearly planar owing to conjugation of the lone pair with the aryl substituent. The C-N distance is correspondingly shorter. In aniline, the C-N distance is the same as the C-C distances. Like ammonia, amines are bases. Compared to alkali metal hydroxides, amines are weaker (see table for examples of conjugate
|
Amine
|
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] |
6957
|
acid "K" values). The basicity of amines depends on: Owing to inductive effects, the basicity of an amine might be expected to increase with the number of alkyl groups on the amine. Correlations are complicated owing to the effects of solvation which are opposite the trends for inductive effects. Solvation effects also dominate the basicity of aromatic amines (anilines). For anilines, the lone pair of electrons on nitrogen delocalises into the ring, resulting in decreased basicity. Substituents on the aromatic ring, and their positions relative to the amine group, also affect basicity as seen in the table. Solvation significantly affects
|
Amine
|
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] |
6958
|
the basicity of amines. N-H groups strongly interact with water, especially in ammonium ions. Consequently, the basicity of ammonia is enhanced by 10 by solvation. The intrinsic basicity of amines, i.e. the situation where solvation is unimportant, has been evaluated in the gas phase. In the gas phase, amines exhibit the basicities predicted from the electron-releasing effects of the organic substituents. Thus tertiary amines are more basic than secondary amines, which are more basic than primary amines, and finally ammonia is least basic. The order of pK's (basicities in water) does not follow this order. Similarly aniline is more basic
|
Amine
|
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] |
6959
|
than ammonia in the gas phase, but ten thousand times less so in aqueous solution. In aprotic polar solvents such as DMSO, DMF, and acetonitrile the energy of solvation is not as high as in protic polar solvents like water and methanol. For this reason, the basicity of amines in these aprotic solvents is almost solely governed by the electronic effects. The most industrially significant amines are prepared from ammonia by alkylation with alcohols: Unlike the reaction of amines with alkyl halides, the industrial method is green insofar that the coproduct is water. The reaction of amines and ammonia with
|
Amine
|
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] |
6960
|
alkyl halides is used for synthesis in the laboratory: Such reactions, which are most useful for alkyl iodides and bromides, are rarely employed because the degree of alkylation is difficult to control. Selectivity can be improved via the Delépine reaction, although this is rarely employed on an industrial scale. Via the process of hydrogenation, nitriles are reduced to amines using hydrogen in the presence of a nickel catalyst. Reactions are sensitive to acidic or alkaline conditions, which can cause hydrolysis of the –CN group. LiAlH is more commonly employed for the reduction of nitriles on the laboratory scale. Similarly, LiAlH
|
Amine
|
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6961
|
reduces amides to amines. Many amines are produced from aldehydes and ketones via reductive amination, which can either proceed catalytically or stoichiometrically. Aniline (CHNH) and its derivatives are prepared by reduction of the nitroaromatics. In industry, hydrogen is the preferred reductant, whereas, in the laboratory, tin and iron are often employed. Many laboratory methods exist for the preparation of amines, many of these methods being rather specialized. Aside from their basicity, the dominant reactivity of amines is their nucleophilicity. Most primary amines are good ligands for metal ions to give coordination complexes. Amines are alkylated by alkyl halides. Acyl chlorides
|
Amine
|
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] |
6962
|
and acid anhydrides react with primary and secondary amines to form amides (the "Schotten–Baumann reaction"). Similarly, with sulfonyl chlorides, one obtains sulfonamides. This transformation, known as the Hinsberg reaction, is a chemical test for the presence of amines. Because amines are basic, they neutralize acids to form the corresponding ammonium salts RNH. When formed from carboxylic acids and primary and secondary amines, these salts thermally dehydrate to form the corresponding amides. Amines react with nitrous acid to give diazonium salts. The alkyl diazonium salts are of little synthetic importance because they are too unstable. The most important members are derivatives
|
Amine
|
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] |
6963
|
of aromatic amines such as aniline ("phenylamine") (A = aryl or naphthyl): Anilines and naphthylamines form more stable diazonium salts, which can be isolated in the crystalline form. Diazonium salts undergo a variety of useful transformations involving replacement of the N group with anions. For example, cuprous cyanide gives the corresponding nitriles: Aryldiazonium couple with electron-rich aromatic compounds such as a phenol to form azo compounds. Such reactions are widely applied to the production of dyes. Imine formation is an important reaction. Primary amines react with ketones and aldehydes to form imines. In the case of formaldehyde (R′ H), these
|
Amine
|
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] |
6964
|
products typically exist as cyclic trimers. Reduction of these imines gives secondary amines: Similarly, secondary amines react with ketones and aldehydes to form enamines: An overview of the reactions of amines is given below: Amines are ubiquitous in biology. The breakdown of amino acids releases amines, famously in the case of decaying fish which smell of trimethylamine. Many neurotransmitters are amines, including epinephrine, norepinephrine, dopamine, serotonin, and histamine. Protonated amino groups () are the most common positively charged moieties in proteins, specifically in the amino acid lysine. The anionic polymer DNA is typically bound to various amine-rich proteins. Additionally, the
|
Amine
|
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] |
6965
|
terminal charged primary ammonium on lysine forms salt bridges with carboxylate groups of other amino acids in polypeptides, which is one of the primary influences on the three-dimensional structures of proteins. Primary aromatic amines are used as a starting material for the manufacture of azo dyes. It reacts with nitrous acid to form diazonium salt, which can undergo coupling reaction to form an azo compound. As azo-compounds are highly coloured, they are widely used in dyeing industries, such as: Many drugs are designed to mimic or to interfere with the action of natural amine neurotransmitters, exemplified by the amine drugs:
|
Amine
|
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6966
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Aqueous monoethanolamine (MEA), diglycolamine (DGA), diethanolamine (DEA), diisopropanolamine (DIPA) and methyldiethanolamine (MDEA) are widely used industrially for removing carbon dioxide (CO) and hydrogen sulfide (HS) from natural gas and refinery process streams. They may also be used to remove CO from combustion gases and flue gases and may have potential for abatement of greenhouse gases. Related processes are known as sweetening. Low molecular weight simple amines, such as ethylamine, are only weakly toxic with LD50 between 100 and 1000 mg/kg. They are skin irritants, especially as some are easily absorbed through the skin. Amines are a broad class of compounds,
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Amine
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] |
6967
|
and more complex members of the class can be extremely bioactive, for example strychnine and heroin. Amine In organic chemistry, amines (, ) are compounds and functional groups that contain a basic nitrogen atom with a lone pair. Amines are formally derivatives of ammonia, wherein one or more hydrogen atoms have been replaced by a substituent such as an alkyl or aryl group (these may respectively be called alkylamines and arylamines; amines in which both types of substituent are attached to one nitrogen atom may be called alkylarylamines). Important amines include amino acids, biogenic amines, trimethylamine, and aniline; see for
|
Amine
|
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] |
6968
|
Absolute zero Absolute zero is the lowest limit of the thermodynamic temperature scale, a state at which the enthalpy and entropy of a cooled ideal gas reach their minimum value, taken as 0. The fundamental particles of nature have minimal vibrational motion, retaining only quantum mechanical, zero-point energy-induced particle motion. The theoretical temperature is determined by extrapolating the ideal gas law; by international agreement, absolute zero is taken as −273.15° on the Celsius scale (International System of Units), which equals −459.67° on the Fahrenheit scale (United States customary units or Imperial units). The corresponding Kelvin and Rankine temperature scales set
|
"Absolute zero"
|
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] |
6969
|
their zero points at absolute zero by definition. It is commonly thought of as the lowest temperature possible, but it is not the lowest "enthalpy" state possible, because all real substances begin to depart from the ideal gas when cooled as they approach the change of state to liquid, and then to solid; and the sum of the enthalpy of vaporization (gas to liquid) and enthalpy of fusion (liquid to solid) exceeds the ideal gas's change in enthalpy to absolute zero. In the quantum-mechanical description, matter (solid) at absolute zero is in its ground state, the point of lowest internal
|
"Absolute zero"
|
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] |
6970
|
energy. The laws of thermodynamics indicate that absolute zero cannot be reached using only thermodynamic means, because the temperature of the substance being cooled approaches the temperature of the cooling agent asymptotically, and a system at absolute zero still possesses quantum mechanical zero-point energy, the energy of its ground state at absolute zero. The kinetic energy of the ground state cannot be removed. Scientists and technologists routinely achieve temperatures close to absolute zero, where matter exhibits quantum effects such as superconductivity and superfluidity. At temperatures near , nearly all molecular motion ceases and Δ"S" = 0 for any adiabatic process,
|
"Absolute zero"
|
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6971
|
where "S" is the entropy. In such a circumstance, pure substances can (ideally) form perfect crystals as "T" → 0. Max Planck's strong form of the third law of thermodynamics states the entropy of a perfect crystal vanishes at absolute zero. The original Nernst "heat theorem" makes the weaker and less controversial claim that the entropy change for any isothermal process approaches zero as "T" → 0: The implication is that the entropy of a perfect crystal simply approaches a constant value. The Nernst postulate identifies the isotherm T = 0 as coincident with the adiabat S = 0, although
|
"Absolute zero"
|
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] |
6972
|
other isotherms and adiabats are distinct. As no two adiabats intersect, no other adiabat can intersect the T = 0 isotherm. Consequently no adiabatic process initiated at nonzero temperature can lead to zero temperature. (≈ Callen, pp. 189–190) A perfect crystal is one in which the internal lattice structure extends uninterrupted in all directions. The perfect order can be represented by translational symmetry along three (not usually orthogonal) axes. Every lattice element of the structure is in its proper place, whether it is a single atom or a molecular grouping. For substances that exist in two (or more) stable crystalline
|
"Absolute zero"
|
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] |
6973
|
forms, such as diamond and graphite for carbon, there is a kind of "chemical degeneracy". The question remains whether both can have zero entropy at "T" = 0 even though each is perfectly ordered. Perfect crystals never occur in practice; imperfections, and even entire amorphous material inclusions, can and do simply get "frozen in" at low temperatures, so transitions to more stable states do not occur. Using the Debye model, the specific heat and entropy of a pure crystal are proportional to "T", while the enthalpy and chemical potential are proportional to "T". (Guggenheim, p. 111) These quantities drop toward
|
"Absolute zero"
|
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] |
6974
|
their "T" = 0 limiting values and approach with "zero" slopes. For the specific heats at least, the limiting value itself is definitely zero, as borne out by experiments to below 10 K. Even the less detailed Einstein model shows this curious drop in specific heats. In fact, all specific heats vanish at absolute zero, not just those of crystals. Likewise for the coefficient of thermal expansion. Maxwell's relations show that various other quantities also vanish. These phenomena were unanticipated. Since the relation between changes in Gibbs free energy ("G"), the enthalpy ("H") and the entropy is thus, as "T"
|
"Absolute zero"
|
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] |
6975
|
decreases, Δ"G" and Δ"H" approach each other (so long as Δ"S" is bounded). Experimentally, it is found that all spontaneous processes (including chemical reactions) result in a decrease in "G" as they proceed toward equilibrium. If Δ"S" and/or "T" are small, the condition Δ"G" < 0 may imply that Δ"H" < 0, which would indicate an exothermic reaction. However, this is not required; endothermic reactions can proceed spontaneously if the "T"Δ"S" term is large enough. Moreover, the slopes of the derivatives of Δ"G" and Δ"H" converge and are equal to zero at "T" = 0. This ensures that Δ"G" and
|
"Absolute zero"
|
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6976
|
Δ"H" are nearly the same over a considerable range of temperatures and justifies the approximate empirical Principle of Thomsen and Berthelot, which states that "the equilibrium state to which a system proceeds is the one that evolves the greatest amount of heat", i.e., an actual process is the "most exothermic one". (Callen, pp. 186–187) One model that estimates the properties of an electron gas at absolute zero in metals is the Fermi gas. The electrons, being Fermions, must be in different quantum states, which leads the electrons to get very high typical velocities, even at absolute zero. The maximum energy
|
"Absolute zero"
|
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] |
6977
|
that electrons can have at absolute zero is called the Fermi energy. The Fermi temperature is defined as this maximum energy divided by Boltzmann's constant, and is of the order of 80,000 K for typical electron densities found in metals. For temperatures significantly below the Fermi temperature, the electrons behave in almost the same way as at absolute zero. This explains the failure of the classical equipartition theorem for metals that eluded classical physicists in the late 19th century. A Bose–Einstein condensate (BEC) is a state of matter of a dilute gas of weakly interacting bosons confined in an external
|
"Absolute zero"
|
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] |
6978
|
potential and cooled to temperatures very near absolute zero. Under such conditions, a large fraction of the bosons occupy the lowest quantum state of the external potential, at which point quantum effects become apparent on a macroscopic scale. This state of matter was first predicted by Satyendra Nath Bose and Albert Einstein in 1924–25. Bose first sent a paper to Einstein on the quantum statistics of light quanta (now called photons). Einstein was impressed, translated the paper from English to German and submitted it for Bose to the "Zeitschrift für Physik", which published it. Einstein then extended Bose's ideas to
|
"Absolute zero"
|
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] |
6979
|
material particles (or matter) in two other papers. Seventy years later, in 1995, the first gaseous condensate was produced by Eric Cornell and Carl Wieman at the University of Colorado at Boulder NIST-JILA lab, using a gas of rubidium atoms cooled to 170 nanokelvins (nK) (). A record cold temperature of 450 ±80 picokelvins (pK) () in a Bose–Einstein condensate (BEC) of sodium atoms was achieved in 2003 by researchers at MIT. The associated black-body (peak emittance) wavelength of 6,400 kilometers is roughly the radius of Earth. Absolute, or thermodynamic, temperature is conventionally measured in kelvins (Celsius-scaled increments) and in
|
"Absolute zero"
|
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] |
6980
|
the Rankine scale (Fahrenheit-scaled increments) with increasing rarity. Absolute temperature measurement is uniquely determined by a multiplicative constant which specifies the size of the "degree", so the "ratios" of two absolute temperatures, "T"/"T", are the same in all scales. The most transparent definition of this standard comes from the Maxwell–Boltzmann distribution. It can also be found in Fermi–Dirac statistics (for particles of half-integer spin) and Bose–Einstein statistics (for particles of integer spin). All of these define the relative numbers of particles in a system as decreasing exponential functions of energy (at the particle level) over "kT", with "k" representing the
|
"Absolute zero"
|
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6981
|
Boltzmann constant and "T" representing the temperature observed at the macroscopic level. Temperatures that are expressed as negative numbers on the familiar Celsius or Fahrenheit scales are simply colder than the zero points of those scales. Certain systems can achieve truly negative temperatures; that is, their thermodynamic temperature (expressed in kelvins) can be of a negative quantity. A system with a truly negative temperature is not colder than absolute zero. Rather, a system with a negative temperature is hotter than "any" system with a positive temperature, in the sense that if a negative-temperature system and a positive-temperature system come in
|
"Absolute zero"
|
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] |
6982
|
contact, heat flows from the negative to the positive-temperature system. Most familiar systems cannot achieve negative temperatures because adding energy always increases their entropy. However, some systems have a maximum amount of energy that they can hold, and as they approach that maximum energy their entropy actually begins to decrease. Because temperature is defined by the relationship between energy and entropy, such a system's temperature becomes negative, even though energy is being added. As a result, the Boltzmann factor for states of systems at negative temperature increases rather than decreases with increasing state energy. Therefore, no complete system, i.e. including
|
"Absolute zero"
|
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] |
6983
|
the electromagnetic modes, can have negative temperatures, since there is no highest energy state, so that the sum of the probabilities of the states would diverge for negative temperatures. However, for quasi-equilibrium systems (e.g. spins out of equilibrium with the electromagnetic field) this argument does not apply, and negative effective temperatures are attainable. On 3 January 2013, physicists announced that they had created a quantum gas made up of potassium atoms with a negative temperature in motional degrees of freedom for the first time. One of the first to discuss the possibility of an absolute minimal temperature was Robert Boyle.
|
"Absolute zero"
|
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] |
6984
|
His 1665 "New Experiments and Observations touching Cold", articulated the dispute known as the "primum frigidum". The concept was well known among naturalists of the time. Some contended an absolute minimum temperature occurred within earth (as one of the four classical elements), others within water, others air, and some more recently within nitre. But all of them seemed to agree that, "There is some body or other that is of its own nature supremely cold and by participation of which all other bodies obtain that quality." The question whether there is a limit to the degree of coldness possible, and,
|
"Absolute zero"
|
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] |
6985
|
if so, where the zero must be placed, was first addressed by the French physicist Guillaume Amontons in 1702, in connection with his improvements in the air-thermometer. His instrument indicated temperatures by the height at which a certain mass of air sustained a column of mercury—the volume, or "spring" of the air varying with temperature. Amontons therefore argued that the zero of his thermometer would be that temperature at which the spring of the air was reduced to nothing. He used a scale that marked the boiling-point of water at +73 and the melting-point of ice at +, so that
|
"Absolute zero"
|
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6986
|
the zero was equivalent to about −240 on the Celsius scale. This close approximation to the modern value of −273.15 °C for the zero of the air-thermometer was further improved upon in 1779 by Johann Heinrich Lambert, who observed that might be regarded as absolute cold. Values of this order for the absolute zero were not, however, universally accepted about this period. Pierre-Simon Laplace and Antoine Lavoisier, in their 1780 treatise on heat, arrived at values ranging from 1,500 to 3,000 below the freezing-point of water, and thought that in any case it must be at least 600 below. John
|
"Absolute zero"
|
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0.5871338248252869,
0.6356508135795593
] |
6987
|
Dalton in his "Chemical Philosophy" gave ten calculations of this value, and finally adopted −3000 °C as the natural zero of temperature. After James Prescott Joule had determined the mechanical equivalent of heat, Lord Kelvin approached the question from an entirely different point of view, and in 1848 devised a scale of absolute temperature that was independent of the properties of any particular substance and was based on Carnot's theory of the Motive Power of Heat and data published by Henri Victor Regnault. It followed from the principles on which this scale was constructed that its zero was placed at
|
"Absolute zero"
|
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] |
6988
|
−273 °C, at almost precisely the same point as the zero of the air-thermometer. This value was not immediately accepted; values ranging from to , derived from laboratory measurements and observations of astronomical refraction, remained in use in the early 20th century. With a better theoretical understanding of absolute zero, scientists were eager to reach this temperature in the lab. By 1845, Michael Faraday had managed to liquefy most gases then known to exist, and reached a new record for lowest temperatures by reaching . Faraday believed that certain gases, such as oxygen, nitrogen, and hydrogen, were permanent gases and
|
"Absolute zero"
|
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] |
6989
|
could not be liquefied. Decades later, in 1873 Dutch theoretical scientist Johannes Diderik van der Waals demonstrated that these gases could be liquefied, but only under conditions of very high pressure and very low temperatures. In 1877, Louis Paul Cailletet in France and Raoul Pictet in Switzerland succeeded in producing the first droplets of liquid air . This was followed in 1883 by the production of liquid oxygen by the Polish professors Zygmunt Wróblewski and Karol Olszewski. Scottish chemist and physicist James Dewar and the Dutch physicist Heike Kamerlingh Onnes took on the challenge to liquefy the remaining gases hydrogen
|
"Absolute zero"
|
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] |
6990
|
and helium. In 1898, after 20 years of effort, Dewar was first to liquefy hydrogen, reaching a new low temperature record of . However Onnes, his rival, was the first to liquefy helium, in 1908, using several precooling stages and the Hampson–Linde cycle. He lowered the temperature to the boiling point of helium . By reducing the pressure of the liquid helium he achieved an even lower temperature, near 1.5 K. These were the coldest temperatures achieved on earth at the time and his achievement earned him the Nobel Prize in 1913. Onnes would continue to study the properties of
|
"Absolute zero"
|
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6991
|
materials at temperatures near absolute zero, describing superconductivity and superfluids for the first time. The average temperature of the universe today is approximately , based on measurements of cosmic microwave background radiation. Absolute zero cannot be achieved, although it is possible to reach temperatures close to it through the use of cryocoolers, dilution refrigerators, and nuclear adiabatic demagnetization. The use of laser cooling has produced temperatures less than a billionth of a kelvin. At very low temperatures in the vicinity of absolute zero, matter exhibits many unusual properties, including superconductivity, superfluidity, and Bose–Einstein condensation. To study such phenomena, scientists have
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"Absolute zero"
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] |
6992
|
worked to obtain even lower temperatures. Absolute zero Absolute zero is the lowest limit of the thermodynamic temperature scale, a state at which the enthalpy and entropy of a cooled ideal gas reach their minimum value, taken as 0. The fundamental particles of nature have minimal vibrational motion, retaining only quantum mechanical, zero-point energy-induced particle motion. The theoretical temperature is determined by extrapolating the ideal gas law; by international agreement, absolute zero is taken as −273.15° on the Celsius scale (International System of Units), which equals −459.67° on the Fahrenheit scale (United States customary units or Imperial units). The corresponding
|
"Absolute zero"
|
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] |
6993
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Adiabatic process In thermodynamics, an adiabatic process is one that occurs without transfer of heat or mass of substances between a thermodynamic system and its surroundings. In an adiabatic process, energy is transferred to the surroundings only as work. The adiabatic process provides a rigorous conceptual basis for the theory used to expound the first law of thermodynamics, and as such it is a key concept in thermodynamics. Some chemical and physical processes occur so rapidly that they may be conveniently described by the term "adiabatic approximation", meaning that there is not enough time for the transfer of energy as
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"Adiabatic process"
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] |
6994
|
heat to take place to or from the system. By way of example, the adiabatic flame temperature is an idealization that uses the "adiabatic approximation" so as to provide an upper limit calculation of temperatures produced by combustion of a fuel. The adiabatic flame temperature is the temperature that would be achieved by a flame if the process of combustion took place in the absence of heat loss to the surroundings. In meteorology and oceanography, the adiabatic cooling process produces condensation of moisture or salinity and the parcel becomes oversaturated. Therefore, it is necessary to take away the excess. There
|
"Adiabatic process"
|
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] |
6995
|
the process becomes a "pseudo-adiabatic process" in which the liquid water/salt that condenses is assumed to be removed as soon as it is formed, by idealized instantaneous precipitation. The pseudoadiabatic process is only defined for expansion, since a parcel that is compressed become warmer and remains undersaturated. A process that does not involve the transfer of heat or matter into or out of a system, so that , is called an adiabatic process, and such a system is said to be adiabatically isolated. The assumption that a process is adiabatic is a frequently made simplifying assumption. For example, the compression
|
"Adiabatic process"
|
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6996
|
of a gas within a cylinder of an engine is assumed to occur so rapidly that on the time scale of the compression process, little of the system's energy can be transferred out as heat to the surroundings. Even though the cylinders are not insulated and are quite conductive, that process is idealized to be adiabatic. The same can be said to be true for the expansion process of such a system. The assumption of adiabatic isolation of a system is a useful one, and is often combined with others so as to make the calculation of the system's behaviour
|
"Adiabatic process"
|
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] |
6997
|
possible. Such assumptions are idealizations. The behaviour of actual machines deviates from these idealizations, but the assumption of such "perfect" behaviour provide a useful first approximation of how the real world works. According to Laplace, when sound travels in a gas, there is no time for heat conduction in the medium and so the propagation of sound is adiabatic. For such an adiabatic process, the modulus of elasticity (Young's modulus) can be expressed as , where is the ratio of specific heats at constant pressure and at constant volume ( ) and is the pressure of the gas . For
|
"Adiabatic process"
|
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] |
6998
|
a closed system, one may write the first law of thermodynamics as : , where denotes the change of the system's internal energy, the quantity of energy added to it as heat, and the work done on it by its surroundings. Naturally occurring adiabatic processes are irreversible (entropy is produced). The transfer of energy as work into an adiabatically isolated system can be imagined as being of two idealized extreme kinds. In one such kind, there is no entropy produced within the system (no friction, viscous dissipation, etc.), and the work is only pressure-volume work (denoted by ). In nature,
|
"Adiabatic process"
|
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] |
6999
|
this ideal kind occurs only approximately, because it demands an infinitely slow process and no sources of dissipation. The other extreme kind of work is isochoric work (), for which energy is added as work solely through friction or viscous dissipation within the system. A stirrer that transfers energy to a viscous fluid of an adiabatically isolated system with rigid walls, without phase change, will cause a rise in temperature of the fluid, but that work is not recoverable. Isochoric work is irreversible. The second law of thermodynamics observes that a natural process, of transfer of energy as work, always
|
"Adiabatic process"
|
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] |
7000
|
consists at least of isochoric work and often both of these extreme kinds of work. Every natural process, adiabatic or not, is irreversible, with , as friction or viscosity are always present to some extent. The adiabatic compression of a gas causes a rise in temperature of the gas. Adiabatic expansion against pressure, or a spring, causes a drop in temperature. In contrast, free expansion is an isothermal process for an ideal gas. Adiabatic heating occurs when the pressure of a gas is increased from work done on it by its surroundings, e.g., a piston compressing a gas contained within
|
"Adiabatic process"
|
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