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Efficient and economical water splitting would be a technological breakthrough that could underpin a hydrogen economy. A version of water splitting occurs in photosynthesis, but hydrogen is not produced. The reverse of water splitting is the basis of the hydrogen fuel cell. Water splitting using solar radiation has not been commercialized.
The A 3 coupling (also known as A 3 coupling reaction or the aldehyde-alkyne-amine reaction), coined by Prof. Chao-Jun Li of McGill University, is a type of multicomponent reaction involving an aldehyde, an alkyne and an amine which react to give a propargyl amine.
The pair (P, η) defines the structure of an affine geometry on M, making it into an affine manifold. The affine Lie algebra aff(n) splits as a semidirect product of R n and gl(n) and so η may be written as a pair (θ, ω) where θ takes values in R n and ω takes values in gl(n).
The photocatalyst must have a bandgap large enough to split water; in practice, losses from material internal resistance and the overpotential of the water splitting reaction increase the required bandgap energy to 1.6–2.4 eV to drive water splitting. [2] The process of water-splitting is a highly endothermic process (ΔH > 0).
Writing the vierbeins as differential forms = for the orthonormal coordinates on the cotangent bundle, the affine spin connection one-form is = The torsion 2-form is given by = + while the curvature 2-form is = + = These two equations, taken together are called Cartan's structure equations. [2]
If the principal bundle P is the frame bundle, or (more generally) if it has a solder form, then the connection is an example of an affine connection, and the curvature is not the only invariant, since the additional structure of the solder form θ, which is an equivariant R n-valued 1-form on P, should be taken into account.
The Chan–Lam coupling reaction, also known as the Chan–Evans–Lam coupling, is a cross-coupling reaction between an aryl boronic acid and an alcohol or an amine to form the corresponding secondary aryl amines or aryl ethers, respectively. [1] The Chan–Lam coupling is catalyzed by copper complexes. It can be conducted open to air at room ...
Instance-wise analysis and transformation allows the polyhedral model to unify additional transformations (such as index set splitting, loop peeling, tiling, loop fusion or fission, and transformation of imperfectly nested loops) with those already unified by the unimodular framework (such as loop interchange, skewing, and reversal of perfectly ...