zerothorder 
The accuracy of hyperfine integrals in relativistic NMR computations based on the zerothorder regular approximation


The accuracy of the hyperfine integrals obtained in relativistic NMR computations based on the zerothorder regular approximation (ZORA) is investigated.


The dominant relativistic effects are treated by using the zerothorder regular approximation.


From the hierarchical ordering of the natural orbitals, the zerothorder orbital space is deduced, which generates the zerothorder wavefunction, typically an MCSCF function in the full valence space.


The aromatic species were found to increase in concentration with pseudo zerothorder kinetics, the PAH species rose from zero to some higher amount, whereas the saturate and the polar species remained essentially constant over the mileage period.


We present a complete derivation of the intrinsic viscosity up to first order in interbead distances (Oseentype hydrodynamic interaction), finding that a term that belongs to the zerothorder contribution is missing in the usual description.


It is demonstrated that the zerothorder solution of this twoscale approach approximates the numerical solution of the model well, even if recombination rate is on the order of the selection coefficients.


Inclusion of these recoil corrections makes the MIT bag model, even in its zerothorder version, very appealing, if the sum of many other corrections is not important by comparison.


In specular reflection direction, we show that the total radiation is partitioned into a term which is the zerothorder counterpart to the higherorder diffraction and a term related only to the properties of two adjoining bulk media.


The focusing conditions deduced for an idealized configuration can serve as a zerothorder approximation in a numerical optimization process.


The adsorption is characterized by a zerothorder kinetic with a constant sticking probability of S0=0.0062 up to θ=0.25, followed by a Langmuir kinetic until the saturation coverage θs=0.5 is reached.


Composite right/lefthanded coplanar waveguide bandpass filter using capacitivelycoupled zerothorder resonators


Design and performance of a coplanar waveguide (CPW) bandpass filter (BPF) using composite right/lefthanded (CRLH) zerothorder resonators have been studied.


The Bloch analysis is applied based on the S parameters to derive the characteristics of the eigen modes (Bloch modes), from which the right/lefthanded frequency band and the zerothorder resonant frequency are clearly determined.


When based on vorticity, this time scale significantly increased as expected when the tracking was computed with a secondorder Lagrangian tracking technique as compared to a (zerothorder) Taylor hypothesis approach.


The zerothorder solution in which the convective terms are neglected is inserted into the governing equations which then can be integrated again.


The zerothorder approximation allows only for rigidbody motions of the plate.


A comparison to a zerothorder BEM, based on the same integral formulation is also included.


Consequently, tilted standing waves are formed by twobeam interference between zerothorder and the other firstorder on the image plane.


The resulting blockscale expressions can be written as a perturbation series of which the first term, or zerothorder solution, coincides with the conventionally applied arithmetic and harmonic averages over the layers of the subsurface.

