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Valence

Valence is a term with multiple meanings in various fields of , , and other disciplines. In , it may refer to: It is also the name of several places, including cities in France and Spain, and may refer to notable people or other concepts in and .

Science

Chemistry

In chemistry, valence refers to the combining capacity of an atom, defined as the maximum number of chemical bonds it can form with other atoms. This concept was introduced by Edward Frankland in 1852, who observed that elements exhibit a fixed "saturation capacity" in forming compounds, such as forming three bonds or carbon forming four. The valence of an is primarily determined by its s, which are the electrons in the outermost shell available for bonding. For main-group elements, this number often corresponds directly to the group number in the periodic table; for example, has a valence of 1 due to its single valence electron, carbon has a valence of 4 with four valence electrons, oxygen has a valence of 2 with six valence electrons (forming two bonds to complete its octet), and has a valence of 3 with five valence electrons. Transition metals, however, exhibit variable valence due to the involvement of both s and d electrons in bonding, allowing multiple oxidation states; iron, for instance, commonly shows valences of 2 or 3 in compounds like FeO and Fe₂O₃. Historically, valence theory began with empirical observations in the , such as Frankland's work on radical theory and the dualistic views of Berzelius, which treated bonds as fixed units without atomic-level explanations. The early saw a shift with G.N. Lewis's 1916 proposal of electron-pair sharing for covalent bonds and the , providing a structural basis. revolutionized the concept in the late 1920s, when Heitler and London applied wave mechanics to the hydrogen , interpreting valence as resulting from electron exchange and spin pairing in 1927, extended this with hybridization and to explain directed bonds and molecular geometries. By the , valence formalized these ideas, viewing bonds as overlaps of atomic orbitals, though it competed with ; modern interpretations integrate quantum mechanical calculations to predict bonding without altering the core empirical notion of combining power. Extensions of valence include the concept of maximum covalence, which represents the highest number of covalent bonds an atom can form using its available orbitals and electrons, often limited by the for second-period elements but expandable via d orbitals in heavier atoms like in PCl₅ (covalence 5). Coordinate bonds, also known as dative covalent bonds, further extend this by allowing one atom to donate both electrons of a shared pair, as in the ammonium ion (NH₄⁺) where provides the pair to ; this maintains the valence framework while accounting for unequal electron contribution.

Psychology

In psychology, valence, also known as hedonic tone, refers to the intrinsic positive or negative emotional quality of a stimulus, event, or experience, ranging from pleasantness and attractiveness to unpleasantness and aversiveness. This dimension captures the subjective appeal or repulsion inherent in affective states, distinguishing them from mere intensity. The concept originated in Wilhelm Wundt's tridimensional theory of feeling, proposed in the late , which posited that basic feelings vary along axes of pleasure-displeasure (valence), excitement-calmness, and strain-relaxation. In contemporary , valence is studied as a core component of emotional processing, with neural correlates identified in regions like the and that encode positive versus negative affective signals. A key framework integrating valence is James A. Russell's circumplex model of (1980), which represents emotions in a two-dimensional space where valence forms one axis (from positive to negative) and the other (from high to low activation). This model illustrates how emotions blend continuously along these dimensions, with pure states like (high positive valence, moderate ) contrasting with distress (high negative valence, high ). Valence plays a central role in and by biasing approach behaviors toward positive-valenced stimuli (e.g., to rewarding outcomes) and avoidance of negative ones (e.g., fear-driven from threats), influencing goal-directed actions through integrated micro-valences (individual appraisals) and macro-valences (overall evaluations). For instance, positive valence in or affiliation promotes social bonding and persistence, while negative valence in or can trigger rapid in choices. Emotional valence is measured through self-report scales, such as Likert-type ratings of pleasantness (e.g., the Self-Assessment Manikin), which directly capture subjective hedonic tone, and physiological indicators like facial (EMG) detecting zygomaticus activity for positive valence or corrugator supercilii for negative. These methods complement each other, as self-reports provide conscious experiential data while physiological measures reveal automatic responses less prone to bias. In affective applications, valence decoding from brain imaging (e.g., fMRI patterns) further elucidates its role in real-time emotional regulation and .

Physics

In , the valence band refers to the highest energy band in a crystalline solid that is fully occupied by electrons at temperature. This band arises from the quantum mechanical interaction of valence electrons—those in the outermost atomic shells—across the periodic lattice, forming extended energy states rather than discrete atomic levels. In insulators and semiconductors, the valence band is completely filled, meaning all available states up to the are occupied, which prevents without external excitation. The valence band plays a central in electrical conductivity, distinct from the conduction band, which lies above it and is empty at . In semiconductors, a forbidden gap, or , separates the two bands; electrons in the valence band require thermal or optical to jump the gap into the conduction band, where they can move freely as negative charge carriers. When such excitation occurs, it leaves behind positively charged vacancies, or "holes," in the valence band that behave as mobile positive carriers. Doping modifies this behavior: in p-type semiconductors, acceptor impurities (e.g., in ) create energy levels just above the valence band, ionizing to produce holes that enhance conductivity via valence band mechanisms. The theoretical foundation for the valence band concept stems from Felix Bloch's 1928 quantum mechanical treatment of electrons in periodic crystal potentials, which predicted the formation of energy bands due to wave interference in lattices. This band theory revolutionized solid-state physics, enabling the analysis of material properties and leading to practical applications like the transistor, invented in 1947, which relies on controlled valence and conduction band interactions in doped semiconductors for amplification and switching. In metals, by contrast, the valence and conduction bands overlap, allowing electrons to move freely without a band gap and resulting in high electrical conductivity.

Places

France

Valence in the department serves as the of that administrative division within the region, situated on the left bank of the Rhône River. With a population of 64,288 as of 2022, it functions as a significant , leveraging its riverside location for and , a role established since Roman antiquity when the settlement, known as Valentia, emerged following Roman victories over local tribes around 121 BCE. Historically, Valence gained prominence as a bishopric likely in the 4th century , with its bishops wielding considerable temporal authority until King compelled them to cede power in 1450 in exchange for royal protection and the establishment of a , which was later dissolved after the . The city hosted several ecclesiastical councils, including the notable Council of Valence in 374 , where approximately 22 bishops addressed disciplinary matters such as ordinations and penances for lapsed and . In the medieval period, the Cathedral of Saint-Apollinaire, consecrated in 1095 by , underscored its religious importance. Today, Valence's economy centers on agriculture—particularly fruits and vegetables from the Valley—alongside industries like , , , and an active river port facilitating trade. Culturally, Valence benefits from its proximity to Provence and the nearby town of Montélimar, renowned for nougat production using local lavender honey and almonds, a confection that has become emblematic of the region's gastronomic heritage. France features several smaller communes bearing the name Valence or variants, reflecting the toponym's regional prevalence. Valence in Charente, a modest village in the Nouvelle-Aquitaine region with around 190 residents as of 2022, lies in a rural area near Angoulême. Valence in Tarn-et-Garonne, located in Occitanie, is a larger subprefecture with approximately 5,287 inhabitants as of 2022, serving as an administrative center along the Aveyron River. Other locales include Valence-d'Albigeois in the Tarn department (Occitanie), a small community in the Albigeois hills; Valence-sur-Baïse in Gers (Occitanie), a village noted for its wine production; and Valence-en-Brie in Seine-et-Marne (Île-de-France), a tiny hamlet in the Brie countryside. These sites, often of medieval origin, contribute to the surname Valence's French roots as a locational name denoting origin from such places.

Spain

Valence serves as the historical exonym for , the third-largest city in with a population of 825,948 as of 2024, and the capital of the . This reflects linguistic influences from the Latin root "Valentia," meaning strength, adapted into usage for the Iberian city. Geographically, Valencia is situated on Spain's eastern Mediterranean coast at the mouth of the Turia River, encompassing a fertile plain known as the Huerta de Valencia, renowned for its orchards. The city was founded by the Romans in 138 BCE as Valentia Edetanorum, a colony established to secure the region against local tribes, initially positioned several kilometers inland before expanding toward the sea. Modern Valencia features the extensive Turia Gardens, created in the former riverbed after a devastating flood in 1957 diverted the waterway, now serving as a central green space with bridges, sports facilities, and cultural venues, while its major port handles significant cargo and cruise traffic. Historically, Valencia was conquered by Moorish forces in 714 CE during the Umayyad invasion of the , becoming a prosperous kingdom under Muslim rule with advancements in agriculture and trade. It was reconquered by Christian forces led by on September 28, 1238, marking the end of Islamic control and the integration of the city into the Crown of , with the event celebrated annually as a foundational moment in Valencian identity. During the , known as the Valencian —a period of economic boom driven by , , and maritime commerce—Valencia emerged as one of Europe's wealthiest and most culturally vibrant cities, contributing significantly to the broader through literary figures like Joanot and architectural landmarks such as the Silk Exchange, a . Valencia's economy is bolstered by , which draws millions annually to its beaches, historic center, and modern attractions like the , alongside citrus exports from the surrounding Huerta region, where the city produces a substantial portion of Spain's oranges and generates billions in agricultural revenue. A key cultural driver is the festival, held each March, featuring massive satirical sculptures burned in public pyres, recognized by as an Intangible Cultural Heritage of Humanity in for its communal artistry and springtime rituals. Linguistically, alongside (Castilian), Valencian—a variant of —is co-official in the region, spoken by about a third of the and used in , media, and signage, reflecting the area's medieval ties to of .

Other countries

In , the name Valence is associated with minor historical place names stemming from Anglo-Norman influences during the 13th century, particularly linked to the de Valence family, who were granted estates by King in the 1260s. The village of in , originally known simply as Sutton or "south town," adopted the suffix "Valence" after the family's acquisition of local lands, including the construction of Sutton Valence in the mid-12th century, which was granted to William de Valence, 1st , in 1265. This site, now in ruins, served as a strategic motte-and-bailey but never developed into a major . Another example is Valence House in , , a medieval named after Agnes de Valence (c. 1252–1304), who owned the property from 1291 in the late ; the earliest documented reference to the estate dates to 1269, when its lease was transferred. Originally comprising about 127 acres of pasture and woodland, the manor grew to become the largest in the area but remained a rural estate without evolving into a significant town. These English instances reflect the migration of French place names through , but they contrast sharply with the more prominent European sites by remaining small and largely historical. Beyond England, instances of Valence as a place name are rare and typically limited to historical or defunct references in medieval , such as variant spellings on old maps in regions like and , though no verified modern communities carry the name. In the United States, no notable contemporary or historical settlements named Valence have been documented outside minor, unconfirmed local references. Overall, these peripheral uses underscore the name's limited adoption outside its primary and contexts, often tied to fleeting estates or temporary notations rather than enduring locales.

People

Historical figures

The de Valence family originated in 11th-century France, tracing their roots to the region of Valence in (modern-day ), where William de Valence, the progenitor of the English branch, was born at the Cistercian abbey of Valence near Lusignan. The family's rise in medieval European nobility stemmed from Poitevin connections to English royalty through , who married after the death of , linking the Lusignans to the English throne. William de Valence (d. 1296), born Guillaume de Lusignan around 1225 as the fourth son of Isabella of Angoulême and Hugh X of Lusignan, became a prominent Anglo-French noble after arriving in England in 1247. Knighted by his half-brother King Henry III on 13 October 1247 and created Earl of Pembroke in 1247 through his marriage to Joan de Munchensi, he served as a favored courtier and diplomat, participating in the Second Barons' War, including battles at Lewes (1264) and Evesham (1265), and later in the Welsh campaigns of 1282 and Scottish negotiations from 1289 to 1292. Exiled briefly from 1258 to 1261 due to baronial opposition, he returned to crusade in 1270–1273 and governed Aquitaine as seneschal from 1273 to 1279; he died on 13 June 1296 in Bayonne during a revolt in Gascony, and was buried in Westminster Abbey. Aymer de Valence (c. 1270–1324), William's third son, emerged as a key Anglo-French noble and advisor to King Edward II, inheriting his father's French lands in 1296 and the earldom of in 1307 upon his mother's death, while holding lordships in Montignac and . He participated in military campaigns against , including the victory at Methven in 1306 and the defeat at in 1307, and served as in 1300 while mediating English political crises, such as the opposition to Piers Gaveston in 1312. During the of 1321–1322, Aymer initially allied secretly with marcher lords like Roger Mortimer against the Despenser favorites but acted as a mediator between Edward II and the ; captured briefly by the rebels in 1321, he was released and later supported the king, contributing to the condemnation of Thomas of Lancaster in 1322. He died suddenly on 23 June 1324 near while on an embassy to , with no surviving issue from his three marriages, and was buried alongside his father in . The lineage's prominence waned after Aymer's death, as the earldom passed through female lines, but their ties and roles in Anglo- affairs underscored their feudal significance in medieval Europe.

Modern individuals

The Valence remains relatively rare in the . As of recent estimates, it is borne by approximately 3,917 people worldwide, with the highest incidence in (1,672), followed by (1,243), reflecting spread beyond its origins including to former colonies and other regions. In and the , it appears infrequently, often linked to regional identities in southeastern , such as the department, and lacks major global celebrities, underscoring its obscurity outside niche fields. communities in the and exist but are small, with historical records showing limited and no prominent figures emerging in those regions post-1900. One notable modern bearer is Amasio Valence (born May 12, 1979), a Fijian-born sevens player who represented at the , where the team won gold, and competed in multiple international tournaments, including the Sevens Series, earning recognition as one of the early specialists in the format. His career highlighted the sport's growth, with key performances in events like the , contributing to New Zealand's successes before his retirement. In French politics, David Valence (born October 7, 1981) has risen prominently as a member of the Radical Party, who served as mayor of from 2014 to 2022 and remains a regional for , where he oversees transport policy. Elected to the for Vosges's 2nd constituency in 2022, he chaired the Infrastructure Orientation Council from 2021 and focused on mobility financing and regional development. He sought re-election in the 2024 legislative elections but was defeated in the second round by the candidate, ending his term in the in July 2024. A variant spelling, Valency, appears in Maurice Valency (March 22, 1903 – September 28, 1996), an playwright, author, critic, and professor of at , best known for translating and adapting plays like Jean Giraudoux's (1941, Tony Award for Best Play adaptation) and Ondine (1954, Award). His work bridged and theater, influencing productions and earning acclaim for scholarly contributions to drama criticism.

Other uses

Linguistics

In linguistics, valency (also known as valence) refers to the number and type of syntactic arguments or complements that a , typically a but also nouns or adjectives, requires or permits to form a complete structure. This concept treats predicates as having a fixed "arity" analogous to mathematical functions, classifying them as avalent (zero arguments, e.g., weather verbs like ""), monovalent or intransitive (one argument, usually a ), bivalent or transitive (two arguments, and direct object), or trivalent or ditransitive (three arguments, , direct object, and indirect object). The term valency entered linguistic theory in the mid-20th century, borrowed as a metaphor from chemistry to describe the combinatory potential of words, much like atoms bond in fixed numbers. This analogy was popularized by Lucien Tesnière in his seminal work on dependency grammar, where he posited that the verb acts as the structural center of the sentence, with its valency dictating the dependencies among actants (core arguments) and circumstants (optional adjuncts). Tesnière's framework, developed in the structuralist tradition, emphasized how valency shapes syntactic trees, influencing subsequent theories in generative and dependency grammars. For example, the English verb "run" exhibits low valency as a monovalent , requiring only a (e.g., "The runs"), while "give" displays high valency as a trivalent , necessitating a , direct object, and indirect object (e.g., "She gives him the "). Valency is not always fixed; it can vary through morphological or syntactic operations such as passivization, which decreases valency by demoting the (e.g., "The was given to him"), or causatives, which increase it by adding a causer argument (e.g., transforming intransitive "fall" to causative "make fall"). These alternations highlight valency's role in argument structure and voice systems across languages. In , valency frames are integral to tasks like dependency , where they guide the identification of roles and improve accuracy in sentence analysis by constraining possible syntactic attachments. For instance, verb valency lexicons augment parsers to predict and resolve ambiguities in selection, as demonstrated in frameworks for languages like and English. This application underscores valency's practical utility in and .

Biology

In biology, particularly and biochemistry, valence (or valency) refers to the number of antigenic determinants, or epitopes, on an that can bind to , or conversely, the number of -binding sites on an . This concept determines the 's capacity to form immune complexes and influences the strength and nature of the . Similar to its analogy in chemical bonding, where it describes an atom's combining power, biological valence quantifies molecular interactions in serological reactions. The term valence, borrowed from , was applied to in early 20th-century to explain antigen- binding, notably in Landsteiner's foundational work on group specificity and hapten-induced reactions during the 1900s and 1910s. Multivalent antigens, such as those on bacterial surfaces with multiple epitopes, trigger stronger immune responses by B-cell receptors, leading to enhanced activation, proliferation, and production compared to monovalent antigens. Haptens, small monovalent molecules incapable of independently eliciting immunity, require conjugation to multivalent carrier proteins to stimulate responses, as they alone cannot effectively receptors. A key example is (IgM), the first produced in primary immune responses, which exists as a pentamer with 10 -binding sites, conferring high valence and enabling efficient neutralization. This multivalency plays a crucial role in , where IgM cross-links particulate antigens like to form visible clumps, and in reactions, where soluble multivalent antigens form insoluble lattices with antibodies in antigen excess zones. Polyvalent exploit this principle by targeting multiple strains; for instance, the 23-valent pneumococcal polysaccharide vaccine (PPSV23) protects against 23 serotypes, broadening immunity against diverse pathogens.

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