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overlap of two atomic orbitals ΨA and ΨB on atoms A and B is their overlap integral, defined as S A B = ∫ Ψ A ∗ Ψ B d V , {\displaystyle \mathbf {S} _{\mathrm...

{d} r~,\end{aligned}}} a sum over three overlap integrals already computed above. The Coulomb repulsion integral can be evaluated using the Fourier representation...

for example, Fiechtner, G. (2001). "Absorption and the dimensionless overlap integral for two-photon excitation". Journal of Quantitative Spectroscopy and...

the acceptor, and J ′ {\displaystyle J'} is the normalized spectral overlap integral, where normalized means that both emission intensity and extinction...

mechanics and optics, the fidelity of a field is calculated as an overlap integral of the field of interest with a reference or target field. In the field...

_{m}(\mathbf {r} )\ .} Here in the last step it was assumed that the overlap integral is zero and thus b m ∗ ( 0 ) b m ( 0 ) = 1 N {\displaystyle b_{m}^{*}(\mathbf...

electrons and holes to opposite sides of the well, decreasing the overlap integral, which in turn reduces the recombination efficiency (i.e. fluorescence...

energy transfer efficiency is 50%. The Förster distance depends on the overlap integral of the donor emission spectrum with the acceptor absorption spectrum...

intensity of a vibronic transition is proportional to the square of the overlap integral between the vibrational wavefunctions of the two states that are involved...

off-diagonal Hamiltonian matrix elements were given as proportional to the overlap integral. H i j = K S i j {\displaystyle H_{ij}=KS_{ij}} This simplification...

{d} x^{1}\!\wedge \mathrm {d} x^{2}\!\wedge \mathrm {d} x^{3}} The overlap integral is given by: ⟨ χ | ψ ⟩ = ∫ χ ∗ ψ   d 3 x {\displaystyle \langle \chi...

calculus), a multiple integral is a definite integral of a function of several real variables, for instance, f(x, y) or f(x, y, z). Integrals of a function of...

computational chemistry. It is based on the Neglect of Differential Diatomic Overlap integral approximation. The PM3 method uses the same formalism and equations...

{\mathcal {S}}} is the overlap integral, and Jex is the exchange integral, which is similar to the two-site Coulomb integral but includes exchange of...

magnetic moments. If U / t {\displaystyle U/t} is not too large, the overlap integral provides for superexchange interactions between neighboring magnetic...

Differential Diatomic Overlap integral approximation. Specifically, it is a generalization of the modified neglect of differential diatomic overlap approximation...

the cladding. Rc in pure silica core fiber is proportional to the overlap integral between LP01 mode and fluorine-induced concentration fluctuation component...

Wikidata] (20–21 September 2007). Towards Integral Binary Execution: Implementing Oblivious Hashing Using Overlapped Instruction Encodings (PDF). Proceedings...

computational chemistry. It is based on the Neglect of Diatomic Differential Overlap integral approximation. Similarly, this method replaced the earlier MINDO method...

It is defined as the integral of the product of the two functions after one is reflected about the y-axis and shifted. The integral is evaluated for all...