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The irreducible complex characters of a finite group form a character table which encodes much useful information about the group G in a concise form. Each row is labelled by an irreducible character and the entries in the row are the values of that character on any representative of the respective conjugacy class of G (because characters are class functions).
A cation can be a conjugate acid, and an anion can be a conjugate base, depending on which substance is involved and which acid–base theory is used. The simplest anion which can be a conjugate base is the free electron in a solution whose conjugate acid is the atomic hydrogen.
In solution chemistry, it is common to use H + as an abbreviation for the solvated hydrogen ion, regardless of the solvent. In aqueous solution H + denotes a solvated hydronium ion rather than a proton. [9] [10] The designation of an acid or base as "conjugate" depends on the context. The conjugate acid BH + of a base B dissociates according to
H 2 O is a base because it accepts a proton from CH 3 COOH and becomes its conjugate acid, the hydronium ion, (H 3 O +). [9] The reverse of an acid–base reaction is also an acid–base reaction, between the conjugate acid of the base in the first reaction and the conjugate base of the acid.
In coordination chemistry, the S N 1cB (conjugate base) mechanism describes the pathway by which many metal amine complexes undergo substitution, that is, ligand exchange. Typically, the reaction entails reaction of a polyamino metal halide with aqueous base to give the corresponding polyamine metal hydroxide: [ 1 ]
The subgroups can thus be divided into conjugacy classes, with two subgroups belonging to the same class if and only if they are conjugate. Conjugate subgroups are isomorphic, but isomorphic subgroups need not be conjugate. For example, an abelian group may have two different subgroups which are isomorphic, but they are never conjugate.
similar conjugation effects to C═O C≡N unconjugated 2250 medium conjugated 2230 medium R─N─C (isocyanides) any 2165–2110 R─N═C═S (isothiocyanates) any 2140–1990 C─X: fluoroalkanes: ordinary 1000–1100 trifluoromethyl 1100–1200 two strong, broad bands chloroalkanes: any 540–760 weak to medium bromoalkanes: any 500–600
Tablature (or tab for short) is a form of musical notation indicating instrument fingering or the location of the played notes rather than musical pitches. Tablature is common for fretted stringed instruments such as the guitar , lute or vihuela , as well as many free reed aerophones such as the harmonica .