QUANTIFYING THE EFFECTS OF HIGHER ORDER JAHN-TELLER COUPLING TERMS ON A QUADRATIC JAHN-TELLER HAMILTONIAN IN THE CASE OF NO3 AND Li3.

2016 ◽  
Author(s):  
Henry Tran ◽  
Terry Miller ◽  
John Stanton
Keyword(s):  
Higher Order ◽  
Jahn Teller ◽  
Coupling Terms

On the higher-order T2 ⊗ (e + t2) Jahn–Teller coupling effects in the photodetachment spectrum of the alanate anion (AlH4−)

2018 ◽  
Vol 20 (14) ◽  
pp. 9401-9410 ◽  
Author(s):  
T. Mondal
Keyword(s):  
Higher Order ◽  
Second Order ◽  
Coupling Effects ◽  
Jahn Teller ◽  
Coupling Terms ◽  
Photodetachment Spectrum

The higher-order JT coupling terms (beyond the standard second-order JT theory) are important to understand the first photoelectron band of AlH4.

scholarly journals Effects of higher order Jahn-Teller coupling on the nuclear dynamics

2004 ◽  
Vol 120 (10) ◽  
pp. 4603-4613 ◽  
Author(s):  
Alexandra Viel ◽  
Wolfgang Eisfeld
Keyword(s):  
Higher Order ◽  
Nuclear Dynamics ◽  
Jahn Teller

Towards a higher-order description of Jahn–Teller coupling effects in molecular spectroscopy: The state of NO3

2008 ◽  
Vol 347 (1-3) ◽  
pp. 110-119 ◽  
Author(s):  
Shirin Faraji ◽  
Horst Köppel ◽  
Wolfgang Eisfeld ◽  
Susanta Mahapatra
Keyword(s):  
Molecular Spectroscopy ◽  
Higher Order ◽  
The State ◽  
Coupling Effects ◽  
Jahn Teller

A HIGHER-ORDER ANALYSIS OF THE EFFECTS OF BREAKING SUPERSYMMETRY FOR NON-LINEAR σ-MODELS

1990 ◽  
Vol 05 (09) ◽  
pp. 1723-1744
Author(s):  
J.A. HELAYËL-NETO ◽  
A. WILLIAM SMITH
Keyword(s):  
Higher Order ◽  
Two Dimensional ◽  
Geometrical Meaning ◽  
Order Analysis ◽  
Supersymmetric Models ◽  
Non Linear ◽  
Coupling Terms

Arbitrary (1, 1) and (1.0) two-dimensional nonlinear σ-models, modified by the addition of coupling terms which explicitly break supersymmetry, are studied. The geometrical meaning of these additional terms is discussed. Supergraph methods, suitably extended to include the case of broken supersymmetry, are set and employed in explicit higher-loop computations to keep track of the effect that the explicit breaking of supersymmetry has on the ultraviolet behavior of the originally supersymmetric models.

scholarly journals Higher order (A+E)⊗e pseudo-Jahn–Teller coupling

2005 ◽  
Vol 122 (20) ◽  
pp. 204317 ◽  
Author(s):  
Wolfgang Eisfeld ◽  
Alexandra Viel
Keyword(s):  
Higher Order ◽  
Jahn Teller

Dual systems for all: Higher-order, role-based relational reasoning as a uniquely derived feature of human cognition

2019 ◽  
Vol 42 ◽  
Author(s):  
Daniel J. Povinelli ◽  
Gabrielle C. Glorioso ◽  
Shannon L. Kuznar ◽  
Mateja Pavlic
Keyword(s):  
Temporal Reasoning ◽  
Higher Order ◽  
Important Case ◽  
Human Cognition ◽  
Relational Reasoning ◽  
Dual Systems ◽  
First Order ◽  
Reasoning System ◽  
Role Based

Abstract Hoerl and McCormack demonstrate that although animals possess a sophisticated temporal updating system, there is no evidence that they also possess a temporal reasoning system. This important case study is directly related to the broader claim that although animals are manifestly capable of first-order (perceptually-based) relational reasoning, they lack the capacity for higher-order, role-based relational reasoning. We argue this distinction applies to all domains of cognition.

Quantitative EPMA of nitrogen : A tricky element in the electron-probe microanalyzer

1992 ◽  
Vol 50 (2) ◽  
pp. 1622-1623
Author(s):  
G.F. Bastin ◽  
H.J.M. Heijligers
Keyword(s):  
Background Subtraction ◽  
Electron Probe ◽  
Detection System ◽  
Higher Order ◽  
Light Elements ◽  
Strong Suppression ◽  
Electron Probe Microanalyzer ◽  
Quantitative Epma ◽  
Peak Count ◽  
Lead Stearate

Among the ultra-light elements B, C, N, and O nitrogen is the most difficult element to deal with in the electron probe microanalyzer. This is mainly caused by the severe absorption that N-Kα radiation suffers in carbon which is abundantly present in the detection system (lead-stearate crystal, carbonaceous counter window). As a result the peak-to-background ratios for N-Kα measured with a conventional lead-stearate crystal can attain values well below unity in many binary nitrides . An additional complication can be caused by the presence of interfering higher-order reflections from the metal partner in the nitride specimen; notorious examples are elements such as Zr and Nb. In nitrides containing these elements is is virtually impossible to carry out an accurate background subtraction which becomes increasingly important with lower and lower peak-to-background ratios. The use of a synthetic multilayer crystal such as W/Si (2d-spacing 59.8 Å) can bring significant improvements in terms of both higher peak count rates as well as a strong suppression of higher-order reflections.

Effects of Higher-Order Laue Zone reflections on structure images

1993 ◽  
Vol 51 ◽  
pp. 450-451
Author(s):  
H. S. Kim ◽  
S. S. Sheinin
Keyword(s):  
Wave Vector ◽  
Theoretical Calculations ◽  
Reciprocal Lattice ◽  
Image Plane ◽  
Bloch Wave ◽  
Dynamical Theory ◽  
Higher Order ◽  
Lattice Image ◽  
Lattice Vector ◽  
Image Position

The importance of image simulation in interpreting experimental lattice images is well established. Normally, in carrying out the required theoretical calculations, only zero order Laue zone reflections are taken into account. In this paper we assess the conditions for which this procedure is valid and indicate circumstances in which higher order Laue zone reflections may be important. Our work is based on an analysis of the requirements for obtaining structure images i.e. images directly related to the projected potential. In the considerations to follow, the Bloch wave formulation of the dynamical theory has been used.The intensity in a lattice image can be obtained from the total wave function at the image plane is given by: where ϕg(z) is the diffracted beam amplitide given by In these equations,the z direction is perpendicular to the entrance surface, g is a reciprocal lattice vector, the Cg(i) are Fourier coefficients in the expression for a Bloch wave, b(i), X(i) is the Bloch wave excitation coefficient, ϒ(i)=k(i)-K, k(i) is a Bloch wave vector, K is the electron wave vector after correction for the mean inner potential of the crystal, T(q) and D(q) are the transfer function and damping function respectively, q is a scattering vector and the summation is over i=l,N where N is the number of beams taken into account.

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