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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.
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.
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 ...
2 NH 3 + SO 2 + H 2 O → (NH 4) 2 SO 3. Ammonium sulfite is produced in gas scrubbers, now obsolete, consisting of ammonium hydroxide to remove sulfur dioxide from emissions from power plants. The conversion is the basis of the Walther Process. The resulting ammonium sulfite can be air oxidized to give ammonium sulfate. [4]
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 ...
Potassium sulfite was first obtained by Georg Ernst Stahl in the early 18th century, [3] and was therefore known afterwards as Stahl's sulphureous salt.It became the first discovered sulfite and was first properly studied along with other sulfites by French chemists in the 1790s, and it was called sulphite of potash in the early 19th century. [4]
The monohydrate MoO 3 ·H 2 O consists of layers of octahedrally coordinated MoO 5 ·(H 2 O) units where 4 vertices are shared. [3] The dihydrate (image shown above) has the same layer structure with the "extra" H 2 O molecule intercalated between the layers.