scholarly journals Real stabilization of resonance states employing two parameters: basis-set size and coordinate scaling

2011 ◽  
Vol 44 (13) ◽  
pp. 135003 ◽  
Author(s):  
Federico M Pont ◽  
Pablo Serra ◽  
Omar Osenda
2000 ◽  
Vol 112 (13) ◽  
pp. 5624-5632 ◽  
Author(s):  
Andreas Nicklass ◽  
Kirk A. Peterson ◽  
Andreas Berning ◽  
Hans-Joachim Werner ◽  
Peter J. Knowles

1992 ◽  
Vol 96 (25) ◽  
pp. 10247-10257 ◽  
Author(s):  
John B. Nicholas ◽  
Randall E. Winans ◽  
Robert J. Harrison ◽  
Lennox E. Iton ◽  
Larry A. Curtiss ◽  
...  

2006 ◽  
Vol 05 (01) ◽  
pp. 43-50
Author(s):  
QIANG WANG ◽  
ZHENGTING CAI ◽  
DACHENG FENG

The partial potential energy surface (PPES) of H + NO → N + OH or O + NH of 3A″ symmetry is first constructed using QCISD (T) method with 6-311++g** basis set, and then we speculate the existence of the scattering resonance states of these reactions. Finally, we estimate that the lifetime of scattering resonance state is about 1.5 ps, which is in agreement with Schatz's conclusion (~1.2 ps ). The scattering resonance states of the two reactions belong to the Feshbach type. The results are consistent with the probabilities calculations reported in the literatures.


2014 ◽  
Vol 26 (10) ◽  
pp. 2135-2162 ◽  
Author(s):  
Sidney R. Lehky ◽  
Roozbeh Kiani ◽  
Hossein Esteky ◽  
Keiji Tanaka

We have calculated the intrinsic dimensionality of visual object representations in anterior inferotemporal (AIT) cortex, based on responses of a large sample of cells stimulated with photographs of diverse objects. Because dimensionality was dependent on data set size, we determined asymptotic dimensionality as both the number of neurons and number of stimulus image approached infinity. Our final dimensionality estimate was 93 (SD: [Formula: see text] 11), indicating that there is basis set of approximately 100 independent features that characterize the dimensions of neural object space. We believe this is the first estimate of the dimensionality of neural visual representations based on single-cell neurophysiological data. The dimensionality of AIT object representations was much lower than the dimensionality of the stimuli. We suggest that there may be a gradual reduction in the dimensionality of object representations in neural populations going from retina to inferotemporal cortex as receptive fields become increasingly complex.


2013 ◽  
Vol 12 (04) ◽  
pp. 1350022 ◽  
Author(s):  
MEHDI D. ESRAFILI ◽  
NAFISEH MOHAMMADIRAD

A systematic theoretical study on various maleic acid (MA) clusters has been carried out employing density functional theory (DFT) methods. The performance of two different functionals namely B3LYP and M06 in the prediction of geometries, 17 O and 2 H nuclei quadrupole coupling constant (CQ) values of the MA clusters has been assessed comparing the results to those experimental data. For DFT calculations, several basis sets have been used, including the recently developed Jensen's polarization-consistent basis set families, pcJ-n and pcS-n (n = 0,1,2,3). Calculations at the basis set limit indicate that the value of CQ(2 H ) in monomer MA, changes by 0.01–0.04 kHz for each of the final two basis set increments, and seems reasonable to conclusion that the pcJ-3 result is within a few kHz of the basis set limit. Convergence with respect to basis set size was found to be very good, and the pcJ-1 and pcS-1 basis sets provided a good compromise between the basis set limit and computational expense. In most cases, the differences between B3LYP and M06 results for a given basis set are in a range of 1–2%. On the other hand, no systematic changes in the CQ(17 O ) or CQ(2 H ) were found for basis sets larger than double-ζ. Thus, the usual assumption that double-ζ basis set (pcJ-1 and pcS-1) results in the acceptable CQ values, seems to be valid in the case of 17 O and 2 H nuclei.


1990 ◽  
Vol 43 (5) ◽  
pp. 485 ◽  
Author(s):  
AT Stelbovics ◽  
T Winata

The approximation of Coulomb continuum functions by an L 2 basis is studied using a Laguerre� function basis which can be extended to completeness. Also studied is the convergence rate of L2 approximations to Born matrix elements for electron impact ionisation as a function of basis�set size. This important class of matrix elements occurs in pseudo�state close-coupling calculations, accounting for scattering to the three�body continuum. Convergence rates in both cases are derived analytically and confirmed numerically. We find that the rate of pointwise convergence of L2 expansions to the continuum function is slow, and of conditional type; however, it is proven that the corresponding ionisation matrix elements converge geometrically, Our result agrees with the behaviour observed in pseudo�state calculations.


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