A graphical method to determine high-order anisotropy constants of uniaxial anisotropic material from single-crystal magnetization curves

1998 ◽  
Vol 182 (1-2) ◽  
pp. 55-60 ◽  
Author(s):  
Y.B. Kim ◽  
Han-min Jin
1927 ◽  
Vol 31 (196) ◽  
pp. 343-344
Author(s):  
J. Morris

The method adopted by Mr. Fearn in dealing with the above subject in the February number of the Journal is open to many serious objections. To begin with, it is at best approximate and as Mr. Farren points out in his article in the March number, Mr. Fearn's approximation, although near enough for displacements, give on double differentiation less close approximation for acceleration. And for less regular motions than in the case under discussion the approximation to the acceleration by Mr. Fearn's method might be comparatively poor.The greatest objection which the writer has to Mr. Fearn's method is that it is far too intricate and cumbersome. It unnecessarily involves mathematics of a high order when the problem can be solved by means within the compass of any first year student of engineering.Mr. Farren's method, on the other hand, is of extreme simplicity and as a graphical method could hardly be improved upon. But there is a very simple-analytical solution and one moreover of the familiar type for the ordinary nonarticulated case.


2005 ◽  
Vol 498-499 ◽  
pp. 134-140 ◽  
Author(s):  
Marcos Flavio de Campos

The usual process for producing the high energy magnets based on rare-earth-transition metals as for example NdFeB, SmCo5 or Sm(CoFeCuZr)z involves powder metallurgy. In many cases, it is necessary the determination of anisotropy constants (K1 – first order and K2 second order) from polycrystalline samples. This is not the ideal situation because for more accurate determinations a single crystal is necessary. Nevertheless, in many cases it is very difficult, or not possible, obtaining a single crystal. Then, for these situations, the anisotropy constants can be evaluated from polycrystalline samples with uniaxial texture. In this study, the methodology for making such determination is described. It includes the measurement of Schulz Pole figure by X-Ray diffraction in a surface perpendicular to the c-axis, the axis of easy magnetization. The measured Pole figure can be adjusted with a Gaussian distribution f(q)=exp(-q2/2s2) or with a distribution of type f(q) = cosn q. A model to evaluate the remanence from quantitative metallography is also described. From these distributions, and using the microstructural model, it is possible to estimate the initial magnetization curves for polycrystalline samples, including the effect of the 2nd order anisotropy constant (K2) which produces a curvature in initial magnetization curve. With all these data it is finally possible to estimate the initial magnetization curves for single crystal samples (theoretical), and the anisotropy constants K1 and K2. The inadequacy of Sucksmith-Thompson plots for determination of anisotropy constants from polycrystalline samples is also commented. The described method can be used either for rare-earth transition magnets or for Barium or Strontium ferrites.


2002 ◽  
Vol 35 (6) ◽  
pp. 702-712 ◽  
Author(s):  
L. D. Cussen

`Acceptance' diagrams are used to describe the beams produced by curved segmented (`focusing') monochromators in the kinematic approximation. This semi-analytic semi-graphical method leads to a complete description which is readily visualized in terms of instrument variables. Focusing both in and perpendicular to the scattering plane is considered. Clear relationships are identified between instrument dimensions and the beam produced. The description is directed towards neutron scattering instruments but the formalism should also apply to photons and electrons. It is demonstrated that a monochromator curved both in and perpendicular to the scattering plane (`double focused') on either a straight or curved neutron guide tube from a reactor source can produce a beam of comparable flux to that achievable at the reactor face. Such a beam has spatial dimensions comparable with modern single-crystal samples for inelastic scattering and could thus provide spectacular signal and, even more interestingly, signal to noise ratios for both elastic and inelastic single-crystal spectrometers.


2014 ◽  
Vol 215 ◽  
pp. 352-357
Author(s):  
A.I. Begunov ◽  
A.A. Demidov ◽  
I.A. Gudim ◽  
Evgeniy V. Eremin

The main features of the magnetic, magnetoelastic and record magnetoelectric properties of a HoAl3(BO3)4 alumoborate single crystal have been studied experimentally and theoretically. ForB||awe have observed a giant polarization ΔPba(Ba) ≈ –5240 µС/m2 induced by field of 9 T at T = 5 K. We have calculated the magnetic characteristics of HoAl3(BO3)4 in the framework of a crystal-field model. The parameters of the crystal-field in HoAl3(BO3)4 have been determined. Good agreement of experimental and calculational magnetization curves Mc,^с(В) and the temperature dependences of magnetization Mс,^с(T) was achieved. For interpretation of magnetostriction in HoAl3(BO3)4 the field and temperature dependences of the multipole moments have been calculated.


1989 ◽  
Vol 03 (01) ◽  
pp. 79-85 ◽  
Author(s):  
Z.S. CAO ◽  
D.N. ZHENG ◽  
G.H. CHEN ◽  
J.H. WANG ◽  
Y.F. YAN ◽  
...  

Diamagnetic susceptibility and the magnetization curves at 1.5 K and 77 K were measured on the single crystal of Bi 2 Sr 2 Ca 1 Cu 2 O y. The results show that the Meissner fraction is anisotropic and the susceptibility reduces slightly with temperature decreasing below 20 K. The magnetization curves exhibit the hysteresis at 1.5 K but no hysteresis is observed at 77 K. Critical current J c at 1.5 K and 77 K are estimated using critical state model.


Small Methods ◽  
2019 ◽  
Vol 3 (12) ◽  
pp. 1900396 ◽  
Author(s):  
Huajun He ◽  
En Ma ◽  
Xueyuan Chen ◽  
Deren Yang ◽  
Banglin Chen ◽  
...  

1997 ◽  
Vol 33 (5) ◽  
pp. 3844-3846 ◽  
Author(s):  
D. Courtois ◽  
H.S. Li ◽  
J.M. Cadogan ◽  
D. Givord ◽  
E. Bourgeat-Lami

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