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The group SO(3) can therefore be identified with the group of these matrices under matrix multiplication. These matrices are known as "special orthogonal matrices", explaining the notation SO(3). The group SO(3) is used to describe the possible rotational symmetries of an object, as well as the possible orientations of an object in space.
The universal cover of SO(3) is a Lie group called Spin(3). The group Spin(3) is isomorphic to the special unitary group SU(2); it is also diffeomorphic to the unit 3-sphere S 3 and can be understood as the group of unit quaternions (i.e. those with absolute value 1).
The compound is prepared by treating V 2 O 5 in sulfuric acid with elemental sulfur: [2] V 2 O 5 + S + 3 H 2 SO 4 → V 2 (SO 4) 3 + SO 2 + 3 H 2 O. This transformation is a rare example of a reduction by elemental sulfur. When heated in vacuum at or slightly below 410 °C, it decomposes into vanadyl sulfate (VOSO 4) and SO 2. Vanadium(III ...
H 2 S 2 O 5 +5 (of the sulfur atom bonded to 3 oxygen atoms), +3 (of other sulfur atom) Disulfite commonly known as metabisulfite, S 2 O 2− 5: Not known. Sulfurous acid: H 2 SO 3 +4 Bisulfite, HSO − 3 and sulfite, SO 2− 3: Not known. Dithionous acid: H 2 S 2 O 4 +3 Dithionite, O 2 SSO 2− 2: Not known. Sulfoxylic acid: H 2 SO 2 +2 ...
Lithium sulfite, or lithium sulphite, is an ionic compound with the formula Li 2 SO 3. [1] References
AO catalyzes the conversion of an aldehyde in the presence of oxygen and water to an acid and hydrogen peroxide.. an aldehyde + H 2 O + O 2 ⇌ a carboxylate + H 2 O 2 + H +; Though the enzyme uses molecular oxygen as an electron acceptor, the oxygen atom that is incorporated into the carboxylate product is from water; however, the exact mechanism of reduction is still not known for AO.
Lithium methoxide is a compound with formula LiCH 3 O. It is the lithium salt of methanol.Like other alkali metal alkoxides, lithium methoxide adopts a polymeric structure [1] Its solubility in common polar aprotic solvents like THF is low; however, it is soluble in methanol and is available commercially as a 10% solution.
Lithium oxalate is an organic compound with the chemical formula Li 2 C 2 O 4. It is a salt of lithium metal and oxalic acid. [3] [4] It consists of lithium cations Li + and oxalate anions C 2 O 2− 4. Lithium oxalate is soluble in water and converts to lithium oxide when heated. [5]