Quasi-One-Dimensional and Quasi-Two-Dimensional Magnetic Systems: Determination of Crossover Temperature and Scaling with Anisotropy Parameters

1973 ◽  
Vol 8 (5) ◽  
pp. 2279-2298 ◽  
Author(s):  
Luke L. Liu ◽  
H. Eugene Stanley
1988 ◽  
Vol 32 ◽  
pp. 397-406 ◽  
Author(s):  
G.M. Borgonovi ◽  
C.P. Gazza

Conventional methods of determination of residual stress in polycrystalline samples use either diffractometers or one-dimensional position-sensitive detectors. The most commonly used technique, the so-called "sin2ψ" method, requires several measurements at different angular positions of the sample. With diffractometers, two rotations are required, while with one-dimensional detectors, one rotation is required (except for the so-called single exposure technique, which requires two one-dimensional position-sensitive detectors). Rotation can be a potential source of errors if the sample is not aligned very carefully.


2020 ◽  
Vol 53 (6) ◽  
pp. 1559-1561
Author(s):  
Robert B. Von Dreele ◽  
Wenqian Xu

An estimate of synchrotron hard X-ray incident beam polarization is obtained by partial two-dimensional image masking followed by integration. With the correct polarization applied to each pixel in the image, the resulting one-dimensional pattern shows no discontinuities arising from the application of the mask. Minimization of the difference between the sums of the masked and unmasked powder patterns allows estimation of the polarization to ±0.001.


1998 ◽  
Vol 123 (3) ◽  
pp. 561-569 ◽  
Author(s):  
K. K. SPRIESTERSBACH

Analysis of projections of a convex body is a familiar topic in tomography. However, instead of considering standard projection bodies, this work investigates a convex body introduced by Schneider [8] which is a Minkowski average of projections. The question addressed here is similar to that posed by Goodey and Weil [4] with respect to Minkowski averages of sections, as opposed to projections, that is, can the shape of a convex body be determined from random sections? Their main result shows that a body K is determined by the average of its two-dimensional sections, but not by the average of its one-dimensional sections. The goal of this study is to uncover the extent to which a convex body is determined by the average of its projections.


Author(s):  
Krzysztof Podgo´rski ◽  
Igor Rychlik

The envelope process is a useful analytical tool which is often used to study wave groups. Most research on statistical properties of the envelope, and thus of wave groups, was focused on one dimensional records. However for the marine application, an appropriate concept should be two dimensional in space and variable in time. Although a generalization to higher dimensions was introduced by Adler (1978), little work was done to investigate its features. Since the envelope is not defined uniquely and its properties depend on a chosen version, we discuss the definition of the envelope field for a two dimensional random field evolving in time which serves as a model of irregular sea surface. Assuming Gaussian distribution of this field we derive sampling properties of the height of the envelope field as well as of its velocity. The latter is important as the velocity of the envelope is related to the rate at which energy is transported by propagating waves. We also study how statistical distributions of group waves differ from the corresponding ones for individual waves and how a choice of a version of the envelope affects its sampling distributions. Analyzing the latter problem helps in determination of the version which is appropriate in an application in hand.


2020 ◽  
Vol 21 (21) ◽  
pp. 8386
Author(s):  
Wiktor Kasprzyk ◽  
Tomasz Świergosz ◽  
Filip Koper

Herein, a novel fluorescent method for the determination of d-panthenol (DP) level in solutions with no separate hydrolysis step has been revealed based on the utilization of citric acid (CA) as a derivatizing agent. Consequently, the essential parameters of the derivatization process were established, resulting in the development of sensitive, repeatable, and accurate determination of panthenol. The method was approved, and its usefulness in characterizing the concentration of DP in pharmaceutical formulations and selectivity in the determination of DP were validated. The chemical structure of the new fluorophore formulating in the reaction in DP with CA, i.e., 6-oxo-3,4-dihydro-2H,6H-pyrido[2,1-b][1,3]oxazine-8-carboxylic acid (ODPC), was elucidated using detailed NMR experiments: one-dimensional (1H, 13C) as well as two-dimensional NMR spectra (1H-1H COSY, 1H-13C HSQC, 1H-13C HMBC, 1H-15N HSQC, 1H-15N HMBC).


2016 ◽  
Vol 2016 ◽  
pp. 1-6 ◽  
Author(s):  
Elżbieta Matysik ◽  
Anna Woźniak ◽  
Roman Paduch ◽  
Robert Rejdak ◽  
Beata Polak ◽  
...  

The new mode of two-dimensional gradient thin layer chromatography (MGD-2D TLC) has been presented. Short distance development of sample in the first dimension leads to formation of the preconcentrated narrow zones. They are consecutively separated in the second dimension with the mobile phase gradient in several steps of development until the eluent reaches the further end of the chromatographic plate. The use of the above-mentioned technique allows isolating and then identifying the compounds of various polarity from the multicomponent mixture. The practical application of two-dimensional gradient thin layer chromatography has been performed for isolation of the two plant (JuniperusandThymus) oils components as the examples of test mixtures. The experiments have been carried out with the use of silica gel plates as well as a normal phase condition. The results of solute separation with isocratic one-dimensional thin layer chromatography system have been compared with those of two-dimensional gradient system. It has been observed that application of the latter mode leads to almost triplicated number of zones in comparison with the former one. It is purposeful to apply the proposed mode to control the purity of the dominant component or components of the mixture.


1989 ◽  
Vol 260 (2) ◽  
pp. 389-393 ◽  
Author(s):  
S M D'Arcy ◽  
C M Donoghue ◽  
C A M Koeleman ◽  
D H Van den Eijnden ◽  
A V Savage

In this study we investigated the structure of an acidic fucose-containing pentasaccharide released from bovine submaxillary-gland mucin by alkaline-borohydride treatment. The structure, determined by a combination of one-dimensional and two-dimensional 1H-n.m.r. spectroscopy at 270 MHz and methylation analysis involving g.l.c.-m.s., was as follows: Fuc alpha(1-2)Gal beta(1-4)GlcNAc beta(1-3)[NeuAc alpha(2-6)]GalNAcol This pentasaccharide is a novel structure and is the first report of a blood-group-H type 2 determinant on a submaxillary-gland mucin.


A mathematical theorem is introduced which has direct application to the theory of lattice vibrations and is independent of dimension. It clarifies much of the previous work on disordered one-dimensional systems and provides the basis for a reasonable computational technique for the determination of the frequency spectra of disordered two-dimensional lattices.


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