Assignment of the deoxyribofuranoside protons in DNA oligomers by the application of relayed coherence transfer two-dimensional nuclear magnetic resonance spectroscopy

1985 ◽  
Vol 63 (11) ◽  
pp. 3133-3139 ◽  
Author(s):  
Donald W. Hughes ◽  
Russell A. Bell ◽  
Thomas Neilson ◽  
Alex D. Bain
Keyword(s):  
Cross Sections ◽  
Chemical Shifts ◽  
Resonance Spectroscopy ◽  
Coherence Transfer ◽  
Dna Oligomers ◽  
One Dimensional ◽  
Phase Cycling ◽  
The One ◽  
P Type ◽  
New Phase

Assignment of the deoxyribofuranose protons in short DNA oligomers by techniques such as homonuclear shift-correlated (COSY) 2-D nmr becomes difficult when there are overlapping diagonal signals. To solve this problem we have applied the method of relayed coherence transfer 2-D nmr to generate cross-peaks between protons such as 1′ and 3′, 3′ and 5′ and 5″ which are not coupled but belong to the same spin system. Plotting cross-sections through the diagonal peaks of the 3′ protons produced completely resolved spectra of the deoxyribofuranoside protons for each nucleotide. Chemical shifts were assigned by comparing each cross-section with the one-dimensional spectrum. A new phase-cycling procedure for the transmitter and receiver was determined and allowed data acquisition with suppression of p-type peaks. This technique is illustrated by the spectra of deoxycytidine and the deoxytriribonucleotide, dCpTpGp.

scholarly journals Impact of Energy Slope Averaging Methods on Numerical Solution of 1D Steady Gradually Varied Flow

2015 ◽  
Vol 62 (3-4) ◽  
pp. 101-119 ◽  
Author(s):  
Wojciech Artichowicz ◽  
Dzmitry Prybytak
Keyword(s):  
Numerical Methods ◽  
Numerical Solution ◽  
Numerical Integration ◽  
Cross Sections ◽  
Flow Model ◽  
One Dimensional ◽  
Averaging Methods ◽  
Integration Formulas ◽  
Different Types ◽  
The One

AbstractIn this paper, energy slope averaging in the one-dimensional steady gradually varied flow model is considered. For this purpose, different methods of averaging the energy slope between cross-sections are used. The most popular are arithmetic, geometric, harmonic and hydraulic means. However, from the formal viewpoint, the application of different averaging formulas results in different numerical integration formulas. This study examines the basic properties of numerical methods resulting from different types of averaging.

Analysis of Thin-Walled Closed Beams With General Quadrilateral Cross Sections

1999 ◽  
Vol 66 (4) ◽  
pp. 904-912 ◽  
Author(s):  
J. H. Kim ◽  
Y. Y. Kim
Keyword(s):  
Finite Element ◽  
Cross Sections ◽  
Distortion Function ◽  
Element Formulation ◽  
Numerical Work ◽  
New Approach ◽  
One Dimensional ◽  
Static And Dynamic Analysis ◽  
Thin Walled ◽  
The One

This paper deals with the one-dimensional static and dynamic analysis of thin-walled closed beams with general quadrilateral cross sections. The coupled deformations of distortion as well as torsion and warping are investigated in this work. A new approach to determine the functions describing section deformations is proposed. In particular, the present distortion function satisfies all the necessary continuity conditions unlike Vlasov's distortion function. Based on these section deformation functions, a one-dimensional theory dealing with the coupled deformations is presented. The actual numerical work is carried out using two-node C0 finite element formulation. The present one-dimensional results for some static and free-vibration problems are compared with the existing and the plate finite element results.

scholarly journals Non uniform warping for beams

2008 ◽  
pp. 933-944
Author(s):  
Rached El Fatmi
Keyword(s):  
Cross Sections ◽  
Three Dimensional ◽  
Beam Theory ◽  
Elastic Behavior ◽  
Cantilever Beams ◽  
Shear Forces ◽  
One Dimensional ◽  
The One ◽  
Displacement Model ◽  
Shear Bending

A non-uniform warping beam theory including the effects of torsion and shear forces is presented. Based on a displacement model using three warping parameters associated to the three St Venant warping functions corresponding to torsion and shear forces, this theory is free from the classical assumptions on the warpings or on the shears, and valid for any kind of homogeneous elastic and isotropic cross-section. This general theory is applied to analyze, for a representative set of cross-sections, the elastic behavior of cantilever beams subjected to torsion or shear-bending. Numerical results are given for the one-dimensional structural behavior and the three-dimensional stresses distributions; for the stresses in the critical region of the built-in section, comparisons with three-dimensional finite elements computations are presented. The study clearly shows when the effect of the restrained warping is localized or not.

Ringstrom bei cyclischen Polyenen mit alternierenden und ausgeglichenen Bindungsabständen

1967 ◽  
Vol 22 (1) ◽  
pp. 103-112 ◽  
Author(s):  
F. Baer ◽  
H. Kuhn ◽  
W. Regel
Keyword(s):  
Ring Current ◽  
Chemical Shifts ◽  
Electron Systems ◽  
Dimensional Electron ◽  
Nmr Spectrum ◽  
One Dimensional ◽  
Bond Alternation ◽  
Dimensional Electron Gas ◽  
The One ◽  
Proton Chemical Shifts

The ring current effect in NMR has generally been used to distinguish between equal and alternant bonds in cyclic π-electron systems, assuming a strong ring current in equal-bonds-hydrocarbons and no ring current in alternant-bonds-hydrocarbons. A calculation of the ring current is presented based on the one dimensional electron gas model. The effect of bond alternation is considered by a sine curve potential.Proceeding from a model with equal bonds to a model with alternant bonds the ring current is strongly reduced in rings with more than 10 members; it is reduced by 24% and 51% only in 6 and 10 membered rings, respectively. In non-HücKEL type rings with 4 to 16 carbon atoms the ring current is directed opposite to the classical current and is strongest in cyclobutadiene. The contribution of the π-electrons to the susceptibility of these compounds is therefore paramagnetic and ring current shifts opposite to those in HÜCKEL rings are to be expected. These results are confirmed by the proton chemical shifts in the NMR spectrum of [16]-Annulene.

“Syncope Implies Chaos” in Walking-stick Maps

1977 ◽  
Vol 32 (6) ◽  
pp. 607-613 ◽  
Author(s):  
Otto E. Rössler
Keyword(s):  
Cross Sections ◽  
Monotone Sequence ◽  
Homoclinic Point ◽  
One Dimensional ◽  
Variable Chemical ◽  
The One ◽  
Diagnostic Criterion ◽  
Special Case ◽  
Walking Stick ◽  
Modest Degree

Abstract A number of 3-variable chemical and other systems capable of showing 'nonperiodic' oscillations are governed by walking-stick shaped maps as Poincare cross-sections in state space. The 2-dimensional simple walking-stick diffeomorphism contains the one-dimensional 'single-humped' Li-Yorke map (known to be chaos producing) as a 'degenerate' special case. To prove that chaos is possible also in strictly 2-dimensional walking-stick maps, it suffices to show that a homoclinic point (and hence an in­ finite number of periodic solutions) is possible in these maps. Such a point occurs in the second iterate at a certain (modest) 'degree of overlap' of the walking-stick map. At a slightly larger degree, a 'nonlinear horseshoe map' is formed in the second iterate. It implies presence of periodic trajectories of all even periodicities (at least) in the walking-stick map. At the same time, two major, formerly disconnected, chaotic subregimes merge into one. Diagnostic criterion: presence of 'syncopes' in an otherwise non-monotone sequence of amplitudes.

A biodegradable elastic stent model

2018 ◽  
Vol 24 (8) ◽  
pp. 2591-2618
Author(s):  
Josip Tambača ◽  
Bojan Žugec
Keyword(s):  
Cross Sections ◽  
Applied Mathematics ◽  
Contact Forces ◽  
Dimensional Model ◽  
One Dimensional ◽  
Vascular Stents ◽  
Existence And Uniqueness Results ◽  
Uniqueness Results ◽  
Curved Rods ◽  
The One

In this paper we derive and analyse a one-dimensional model of biodegradable elastic stents. The model is given as a nonlinear system of ordinary differential equations on a graph defined by the geometry of stent struts. The unknowns in the problem are the displacement of the middle curve of the struts, the infinitesimal rotation of the cross-sections of the stent struts, the contact couples and contact forces at struts and a function describing the degradation of the stent. The model is based on the one-dimensional model of a biodegradable elastic curved rod model by Tambača and Žugec (‘One-dimensional quasistatic model of biodegradable elastic curved rods’, Zeitschrift für Angewandte Mathematik und Physik 2015; 66(5): 2759–2785) and the ideas from the one-dimensional elastic stent modelling by Tambača et al. (‘Mathematical modeling of vascular stents’, SIAM Journal on Applied Mathematics 2010; 70(6): 1922–1952) used to formulate contact conditions at vertices. We prove the existence and uniqueness results for the model.

Arsenic Redistribution and Outdiffusion in Implanted Czochralski-Grown P-Type Silicon During Rapid Thermal Annealing

1988 ◽  
Vol 100 ◽  
Author(s):  
G. Chaussemy ◽  
B. Canut ◽  
S. N. Kumar ◽  
D. Barbier ◽  
A. Laugier
Keyword(s):  
Thermal Annealing ◽  
Rapid Thermal Annealing ◽  
Diffusion Coefficients ◽  
Good Description ◽  
Temperature Dependent ◽  
One Dimensional ◽  
Type Silicon ◽  
The One ◽  
P Type ◽  
Diffusion Profiles

ABSTRACTThe effects of the implantation parameters (dose and energy) on the Arsenic redistribution and outdiffusion rate in (100) p-type silicon, after 7–12 s Rapid Thermal Annealing in the 1100–1200°C temperature range have been investigated. Four doses ranging from 2×1014 to l×1016 cm−2, and As+ energies between 70 and 170 keV, have been studied. The experimental diffusion profiles obtained from the SIMS measurements, in complement with the RBS results, were modelled using the one dimensional Fick's equation with semi-infinite boundary conditions, using a concentration and temperature dependent diffusion coefficient D(C, T). The As diffusivity was classically attributed to As+V0, As+V−, and As+V − pairs with the related diffusion coefficients taken from the literature. A relatively good description of the As redistribution was obtained without introducing any transient or SPE effects.

scholarly journals Derivation of the nonlinear bending–torsion model for a junction of elastic rods

2012 ◽  
Vol 142 (3) ◽  
pp. 633-664 ◽  
Author(s):  
Josip Tambača ◽  
Igor Velčić
Keyword(s):  
Cross Sections ◽  
Minimization Problem ◽  
Three Dimensional ◽  
Contact Forces ◽  
Elastic Rods ◽  
Nonlinear Bending ◽  
One Dimensional ◽  
Starting Point ◽  
Γ Convergence ◽  
The One

We derive the one-dimensional bending–torsion equilibrium model for the junction of straight rods. The starting point is a three-dimensional nonlinear elasticity equilibrium problem written as a minimization problem for a union of thin, rod-like bodies. By taking the limit as the thickness of the three-dimensional rods tends to zero, and by using ideas from the theory of Γ-convergence, we find that the resulting model consists of the union of the usual one-dimensional nonlinear bending–torsion rod models which satisfy the following transmission conditions at the junction point: continuity of displacement and rotation of the cross-sections; balance of contact forces and contact couples.

scholarly journals Obtention of a new phase of the one-dimensional compound TaS3 : X-Ray characterization and electrical measurements

1979 ◽  
Vol 40 (7) ◽  
pp. 157-159 ◽  
Author(s):  
A. Meerschaut ◽  
J. Rouxel ◽  
P. Haen ◽  
P. Monceau ◽  
M. Núñez-Regueiro
Keyword(s):  
Electrical Measurements ◽  
One Dimensional ◽  
X Ray ◽  
The One ◽  
New Phase
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