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Water splitting is the chemical reaction in which water is broken down into oxygen and hydrogen: [1] 2 H 2 O → 2 H 2 + O 2 Efficient and economical water splitting would be a technological breakthrough that could underpin a hydrogen economy .
One approach to affine term structure modeling is to enforce an arbitrage-free condition on the proposed model. In a series of papers, [2] [3] [4] a proposed dynamic yield curve model was developed using an arbitrage-free version of the famous Nelson-Siegel model, [5] which the authors label AFNS. To derive the AFNS model, the authors make ...
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).
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.
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.
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]
A water model is defined by its geometry, together with other parameters such as the atomic charges and Lennard-Jones parameters. In computational chemistry, a water model is used to simulate and thermodynamically calculate water clusters, liquid water, and aqueous solutions with explicit solvent, often using molecular dynamics or Monte Carlo methods.