A Method for Easily Determining Coupling Constant Values:  An Addendum to “A Practical Guide to First-Order Multiplet Analysis in1H NMR Spectroscopy”

2002 ◽  
Vol 67 (12) ◽  
pp. 4014-4016 ◽  
Author(s):  
Thomas R. Hoye ◽  
Hongyu Zhao
Keyword(s):  
Nmr Spectroscopy ◽  
Coupling Constant ◽  
First Order ◽  
Practical Guide ◽  
Multiplet Analysis

A Practical Guide to First-Order Multiplet Analysis in 1H NMR Spectroscopy

1994 ◽  
Vol 59 (15) ◽  
pp. 4096-4103 ◽  
Author(s):  
Thomas R. Hoye ◽  
Paul R. Hanson ◽  
James R. Vyvyan
Keyword(s):  
Nmr Spectroscopy ◽  
1H Nmr ◽  
1H Nmr Spectroscopy ◽  
First Order ◽  
Practical Guide ◽  
Multiplet Analysis

scholarly journals Electroweak phase transition with three phases in the SU(2)1 ⊗ SU(2)2 ⊗ U(1)Y model

2019 ◽  
Vol 34 (15) ◽  
pp. 1950073
Author(s):  
Vo Quoc Phong ◽  
Minh Anh Nguyen
Keyword(s):  
Phase Transition ◽  
Coupling Constant ◽  
Gauge Bosons ◽  
Electroweak Phase Transition ◽  
First Order ◽  
First Order Phase Transition ◽  
200 Gev ◽  
Strength Formula ◽  
The Masses ◽  
First Order Phase

Our analysis shows that SM-like electroweak phase transition (EWPT) in the [Formula: see text] (2-2-1) model is a first-order phase transition at the 200 GeV scale (the SM scale). Its strength [Formula: see text] is about 1–2.7 and the masses of new gauge bosons are larger than 1.7 TeV when the second VEV is larger than 535 GeV in a three-stage EWPT scenario and the coupling constant of [Formula: see text] group must be larger than 2. Therefore, this first-order EWPT can be used to fix VEVs and the coupling constant of the gauge group in electroweak models.

Berechnung der Spin-Spin-Koppelkonstante von HD mit nichtsingulärem Kontaktoperator / Calculation of the NMR Coupling Constant in HD by Using a Nonsingitlar Contact Operator

1973 ◽  
Vol 28 (11) ◽  
pp. 1866-1868 ◽  
Author(s):  
W. Sänger ◽  
J. Voitländer
Keyword(s):  
Delta Function ◽  
Spin Coupling ◽  
Coupling Constant ◽  
Coupling Energy ◽  
First Order ◽  
Order Energy ◽  
Spatial Part ◽  
Fermi Contact ◽  
Contact Operator ◽  
Spin Spin Coupling

The Fermi contact contribution to the nuclear spin-spin coupling constant of HD is calculated variationally. Instead of the delta-function a modified nonsingular contact spatial part is used. The self-coupling energy becomes finite and the variation of the whole second-order energy due to a non- singular first-order perturbed trial function can be carried out.

EMISSION SPECTRUM OF A TWO-LEVEL ATOM IN AN OPTOMECHANICAL CAVITY

2013 ◽  
Vol 27 (31) ◽  
pp. 1350226
Author(s):  
JI HUI TENG ◽  
HONG FU WANG ◽  
XUE XI YI
Keyword(s):  
Emission Spectrum ◽  
Single Atom ◽  
Coupling Constant ◽  
Cavity Field ◽  
First Order ◽  
Level Atom ◽  
Optomechanical Cavity ◽  
Cavity Mirror

The emission spectrum of a single atom inside an optomechanical cavity is studied in this paper. Our model consists of a single two-level atom coupled to a cavity with a moving end mirror. We numerically calculate the emission spectrum of the atom, taking the effect of the moving mirror into account. The dependence of the spectrum peak on the coupling between the moving mirror and the cavity field is analyzed. For weak cavity-mirror couplings, we expand the spectrum up to the first order of the coupling constant.

scholarly journals NAMBU-JONA-LASINIO MODEL IN CURVED SPACE-TIME

1993 ◽  
Vol 08 (22) ◽  
pp. 2117-2123 ◽  
Author(s):  
T. INAGAKI ◽  
T. MUTA ◽  
S.D. ODINTSOV
Keyword(s):  
Proper Time ◽  
Space Time ◽  
Leading Order ◽  
Coupling Constant ◽  
Normal Coordinate ◽  
Dynamical Mass ◽  
Curved Space ◽  
First Order ◽  
First Order Phase Transition ◽  
First Order Phase

The phase structure of Nambu-Jona-Lasinio model with N-component fermions in curved space-time is studied in the leading order of the 1/N expansion. The effective potential for composite operator [Formula: see text] is calculated by using the normal coordinate expansion in the Schwinger proper-time method. The existence of the first order phase transition caused by the change of the space-time curvature is confirmed and the dynamical mass of the fermion is calculated as a simultaneous function of the curvature and the four-fermion coupling constant. The phase diagram in the curvature and the coupling constant is obtained.

Automatic first-order multiplet analysis in liquid-state NMR

2006 ◽  
Vol 9 (3-4) ◽  
pp. 498-502 ◽  
Author(s):  
Élise Prost ◽  
Stéphane Bourg ◽  
Jean-Marc Nuzillard
Keyword(s):  
Liquid State ◽  
First Order ◽  
Multiplet Analysis

scholarly journals DECAY COUPLING CONSTANT SUM RULES FOR TETRAQUARKS $T[(\bar{Q}q)(Q\bar{q})]$ WITH BROKEN SU(3) SYMMETRY

2013 ◽  
Vol 28 (06) ◽  
pp. 1350015
Author(s):  
V. GUPTA ◽  
G. SÁNCHEZ-COLÓN ◽  
S. RAJPOOT
Keyword(s):  
Symmetry Breaking ◽  
Sum Rules ◽  
Coupling Constants ◽  
Coupling Constant ◽  
First Order

For tetraquarks of the form [Formula: see text] we give sum rules for their decay coupling constants, taking into account the SU(3) symmetry breaking interactions to first-order.

13C and some 15N N.M.R. spectra of heteroaromatic molecules containing bridgehead nitrogen atoms

1980 ◽  
Vol 33 (3) ◽  
pp. 499 ◽  
Author(s):  
AJ Jones ◽  
P Hanisch ◽  
ML Heffernan ◽  
GM Irvine
Keyword(s):  
Electronic Structures ◽  
Chemical Shifts ◽  
Coupling Constants ◽  
Coupling Constant ◽  
Methyl Substitution ◽  
First Order ◽  
Degree Of Aromaticity ◽  
Bridgehead Nitrogen ◽  
High Degree ◽  
Free Pair

The carbon-13 and (in part) nitrogen-15 chemical shifts of 1,2,3- triazaindolizine and seven three ringed analogues of indolizine have been analysed and enable deductions to be made concerning the extent that the free pair of electrons on the bridgehead nitrogen atom contributes to the delocalized electronic structures. Analogies between these molecules and indolizine are noted in that all the systems possess a high degree of aromaticity. Additivity relationships for nitrogen and methyl substitution are compared with those previously reported for other heteroaromatic molecules. Comparison of previously published 100-MHz and the present-work 270-MHz proton n.m.r. results enabled 13C spectral assignments to be confirmed by selective 1H irradiation experiments, since coupling constant analyses did not provide unambiguous assignments in all cases. One-, two-, three- and four-bond 13C-1H coupling constants are reported for most carbon atoms where first-order spectral analysis was possible. Several examples of non-first-order behaviour are presented and attempts to reconcile the occurrence of this behaviour are outlined.

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