Sentence examples similar to cross section approximation from inspiring English sources

Measured cross sections can be compared to theoretical cross section approximations or experimentally determined NMR or X-ray diffraction structures to gain insight into gas-phase 3-D structural information.

A set of beam-like equations is obtained through the integration over the cross-section of the corresponding elasticity equations, properly weighted by the cross-section approximation functions.

Nodal methods employ special approximations for the leading and trailing cells of the moving assemblies to avoid the rod cusping problem which results from the naive volume weighted cell cross-section approximation.

To derive the beam model, we use the so-called dimensional reduction approach: from a suitable weak formulation of the 2D linear elastic problem, we introduce a variable cross-section approximation and perform a cross-section integration.

Therefore, we assume as a starting point the Hellinger Reissner functional in a formulation that privileges the satisfaction of equilibrium equations and we use a cross-section approximation that exactly enforces the boundary equilibrium.

The absorption cross section within the dipole approximation is calculated as: γ N P V = 2 Π ∈ α 1 / 2 3 λ ∑ j ( 1 P j 2 ) ∈ 2 [ ∈ 1 + ( 1 − P j P j ) ∈ α ] 2 + ∈ 2 2 (6).

In the first Born approximation, inelastic cross section depends only on velocity and the magnitude of the charge on the incident particle.

We obtain a general expression for the differential scattering cross section using the integral scattering amplitude approximation in the far field.

The "slow" subsystem potential energy is formed by falciform geometry of the QD cross section which allows to use adiabatic approximation.

In the random-phase approximation, the differential cross section for the scattering by a 2D system can be written as follows[2 4]: d 2 σ d ω d Ω = ω 2 ω 1 e c 4 n ω + 1 Π Im L 2 − 2 Π e 2 q κ L 1 L ~ 1 ε, (1).

Figure 4 illustrates the dependence of first three energy levels of a CC on the height L1 of the small segment in the falciform cross section, when the modified Pöschl-Teller potential approximation is used.