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In quantum mechanics, a sum rule is a formula for transitions between energy levels, in which the sum of the transition strengths is expressed in a simple form. Sum rules are used to describe the properties of many physical systems, including solids, atoms, atomic nuclei, and nuclear constituents such as protons and neutrons.
In organic chemistry, neighbouring group participation (NGP, also known as anchimeric assistance) has been defined by the International Union of Pure and Applied Chemistry (IUPAC) as the interaction of a reaction centre with a lone pair of electrons in an atom or the electrons present in a sigma or pi bond contained within the parent molecule but not conjugated with the reaction centre.
For example, in a conductor, a point-like charge might be screened by the electrons in the conductance band, [3] and the polarizability of a condensed material may be vastly different from that of an individual molecule. [4] In order to correctly predict the van der Waals forces of condensed materials, a theory that takes into account their ...
In chemistry, azide (/ ˈ eɪ z aɪ d /, AY-zyd) is a linear, polyatomic anion with the formula N − 3 and structure − N=N + =N −.It is the conjugate base of hydrazoic acid HN 3. Organic azides are organic compounds with the formula RN 3, containing the azide functional group. [1]
The bond valence method or mean method (or bond valence sum) (not to be mistaken for the valence bond theory in quantum chemistry) is a popular method in coordination chemistry to estimate the oxidation states of atoms. It is derived from the bond valence model, which is a simple yet robust model for validating chemical structures with ...
Ewald summation, named after Paul Peter Ewald, is a method for computing long-range interactions (e.g. electrostatic interactions) in periodic systems.It was first developed as the method for calculating the electrostatic energies of ionic crystals, and is now commonly used for calculating long-range interactions in computational chemistry.
The second-order approximation accounts for two molecular atoms or structural elements that are within relative proximity to one another (approximately 3–5 ångstroms as proposed in the article). By using a series of disproportionation reactions of symmetrical and asymmetrical framework, Benson and Buss concluded that neighboring atoms within ...
Here the sum extends over π molecular orbitals only, and n i is the number of electrons occupying orbital i with coefficients c ri and c si on atoms r and s respectively. Assuming a bond order contribution of 1 from the sigma component this gives a total bond order (σ + π) of 5/3 = 1.67 for benzene, rather than the commonly cited bond order ...