Magnetic Properties of the Random Mixture of Ising Spins

1974 ◽  
Vol 52 (2) ◽  
pp. 120-130 ◽  
Author(s):  
Shigetoshi Katsura ◽  
Fumitaka Matsubara
Keyword(s):  
Magnetic Properties ◽  
Binary Mixture ◽  
Three Dimensional ◽  
Bethe Lattice ◽  
Experimental Result ◽  
Specific Heats ◽  
Random Mixture ◽  
The One ◽  
Critical Lines ◽  
Ising Spins

A method of obtaining the magnetic properties of the random mixture of plural kinds of magnetic atoms (including nonmagnetic atoms) in both the site and the bond problems is presented. The specific heats and the susceptibilities of the one-dimensional binary mixture and the binary Bethe lattice are exactly given. The phase transitions of both the Bethe lattice and the ordinary two- and three-dimensional lattices are also discussed. It is shown that the phase boundary of an ordinary binary mixture in the site problem is rather similar to that in the bond problem when JAAJBB > 0 and JαJβ > 0, while they are quite different when JAAJBB < 0 and JαJβ < 0. In the latter case, the two critical lines of ordinary lattice, on which the uniform or the staggered susceptibility diverges, cross at some value of concentration of magnetic atoms, while they are separated by the paramagnetic phase in the bond problem. The experimental result for (MnxCr1−x)Sb is similar to the former and that for Co(SxSe1−x)2 is similar to the latter.

Magnetic Properties of the Random Mixture of the Classical Heisenberg Spins

1975 ◽  
Vol 53 (9) ◽  
pp. 854-860 ◽  
Author(s):  
Shigetoshi Katsura
Keyword(s):  
Critical Temperature ◽  
Nearest Neighbor ◽  
Linear Chain ◽  
Three Dimensional ◽  
Bethe Lattice ◽  
Zero Field ◽  
Qualitative Properties ◽  
Neighbor Interaction ◽  
Random Mixture ◽  
Ising Spins

The specific heat, the susceptibility, and the correlation function at zero field above the critical temperature of the random mixture (quenched site and bond problems) of the classical Heisenberg spins with nearest neighbor interaction were obtained exactly for the linear chain and for an infinite Bethe lattice (Bethe approximation of the two and three dimensional lattices) above the critical temperature. The results are simply expressed by the replacements of 2 cosh K → 4π (sinh K)/K and tanh K → L(K) (L(K) = Langevin function) for K = KAA, KAB, KBA, and KBB in the corresponding expressions of the random mixture of the Ising spins, and qualitative properties of both models are similar.

A Family of Three-Dimensional Molecular Framework Materials Containing the Three-Connecting Ligands 2,4,6-Tris(n'-pyridyl)-1,3,5-triazine: 3-tpt and 4-tpt

2013 ◽  
Vol 66 (4) ◽  
pp. 452 ◽  
Author(s):  
Suzanne M. Neville ◽  
Gregory J. Halder ◽  
Keith S. Murray ◽  
Boujemaa Moubaraki ◽  
Cameron J. Kepert
Keyword(s):  
Magnetic Properties ◽  
Spin Crossover ◽  
Three Dimensional ◽  
High Dimensional ◽  
Magnetic Susceptibilities ◽  
Framework Materials ◽  
The One ◽  
3D Framework ◽  
Molecular Framework ◽  
3D Networks

Three-dimensional (3D) framework materials containing the ligands 2,4,6-tris(4′-pyridyl)-1,3,5-triazine (4-tpt) and 2,4,6-tris(3′-pyridyl)-1,3,5-triazine (3-tpt) have been prepared and their structure and magnetic properties investigated. The [MII(NCS)2(py)4] (MII = Fe, Co, py = 3-tpt, and 4-tpt) coordination environments in these materials have been targeted in an effort to prepare high-dimensional coordination polymers which contain spin crossover (SCO) centres. Using FeII, two isotopological cubic 3D materials [Fe(NCS)2(4-tpt)4/3]·n(BzOH,ac) (1a(Bz,ac)) and [Fe(NCS)2(3-tpt)4/3]·n(BzOH,ac) (1b(Bz,ac)) were formed. However, with CoII a different 3D framework topology results, [Co(NCS)2(3-tpt)4/3]·(BzOH,ac) (2(Bz,ac)). Further synthetic variation leads to the isostructural 3D materials trans-[MII(NCS)2(4-tpt)4/3]cis-[MII(NCS)2(4-tpt)2]·n(tce, EtOH) (Fe: 3a(Tce,Et) and Co: 3b(Tce,Et)) which form 3D networks outside Wellsian classification – and for which uniquely both two- and three-connecting modes of 4-tpt are present in the one complex. Despite having the metal coordination environments for which SCO has previously been observed, magnetic susceptibilities of this family of materials reveal a high spin nature.

Magnetic properties of one-dimensional dilute Heisenberg system

1978 ◽  
Vol 56 (6) ◽  
pp. 715-720
Author(s):  
Fumitaka Matsubara ◽  
Masaru Sampei ◽  
Shigetoshi Katsura
Keyword(s):  
Magnetic Properties ◽  
Partition Function ◽  
Irreducible Representation ◽  
Permutation Groups ◽  
Open Chain ◽  
One Dimensional ◽  
Specific Heats ◽  
Ferromagnetic System ◽  
The One ◽  
Extensive Quantity

The magnetic properties of the one-dimensional dilute Heisenberg system of spin [Formula: see text] are studied in terms of power series of concentration of magnetic atoms p. Any extensive quantity A is given by [Formula: see text]for ferromagnetic and antiferromagnetic couplings. The An are obtained from the partition function of the finite open chain up to n = 11, and from extrapolation for [Formula: see text]. The former is calculated by using irreducible representation of permutation groups. The specific heats and the magnetizations of both the ferromagnetic system and the antiferromagnetic system are obtained and the p-dependences of those quantities are discussed.

The Magnetic Properties of Mixed Ferrimagnetic Spin System

2010 ◽  
Vol 148-149 ◽  
pp. 1036-1041
Author(s):  
Shuang Juan Shen ◽  
Li Qin Jiang ◽  
Ke Hua Zhong ◽  
Zhi Gao Chen ◽  
Zhi Gao Huang
Keyword(s):  
Magnetic Properties ◽  
Spin System ◽  
Three Dimensional ◽  
Simple Calculation ◽  
Anisotropy Constant ◽  
Mixed System ◽  
One Dimensional ◽  
Mc Simulation ◽  
The One ◽  
Magnetization Behavior

Based on Monte Carlo (MC) simulation, the magnetization behavior of mixed ferrimagnetic spin system with single-ion anisotropy under external field is investigated. It is assumed that the element of the mixed system is composed of spin-1 and spin-3/2 by turns. The simulated results indicate that there exist the magnetization curves at the ground state on the one-dimensional spin chain, two-dimensional spin system as well as three-dimensional spin system. It found that the size, anisotropy constant and spin configurations influence evidently the magnetic properties of the mixed system. Moreover, the magnetic plateaus and the phase diagrams of the systems can be well interpreted in terms of the simple calculation of energy.

Diffraction contrast of dislocations in icosahedral quasicrystals

1990 ◽  
Vol 48 (4) ◽  
pp. 454-455
Author(s):  
K. Urban ◽  
Z. Zhang ◽  
M. Wollgarten ◽  
D. Gratias
Keyword(s):  
Dimensional Space ◽  
Three Dimensional ◽  
Complete Characterization ◽  
Extinction Condition ◽  
Burgers Vector ◽  
Diffraction Contrast ◽  
Lattice Geometry ◽  
Reference Space ◽  
Icosahedral Quasicrystals ◽  
The One

Recently dislocations have been observed by electron microscopy in the icosahedral quasicrystalline (IQ) phase of Al65Cu20Fe15. These dislocations exhibit diffraction contrast similar to that known for dislocations in conventional crystals. The contrast becomes extinct for certain diffraction vectors g. In the following the basis of electron diffraction contrast of dislocations in the IQ phase is described. Taking account of the six-dimensional nature of the Burgers vector a “strong” and a “weak” extinction condition are found.Dislocations in quasicrystals canot be described on the basis of simple shear or insertion of a lattice plane only. In order to achieve a complete characterization of these dislocations it is advantageous to make use of the one to one correspondence of the lattice geometry in our three-dimensional space (R3) and that in the six-dimensional reference space (R6) where full periodicity is recovered . Therefore the contrast extinction condition has to be written as gpbp + gobo = 0 (1). The diffraction vector g and the Burgers vector b decompose into two vectors gp, bp and go, bo in, respectively, the physical and the orthogonal three-dimensional sub-spaces of R6.

Exploring the Multidimensional Facets of Authoritarianism: Authoritarian Aggression and Social Dominance Orientation

2008 ◽  
Vol 67 (1) ◽  
pp. 51-60 ◽  
Author(s):  
Stefano Passini
Keyword(s):  
Social Dominance ◽  
Factor Model ◽  
Three Dimensional ◽  
Social Dominance Orientation ◽  
Model Fit ◽  
Regression Analyses ◽  
One Dimensional ◽  
Confirmatory Factor ◽  
The One ◽  
Better Than

The relation between authoritarianism and social dominance orientation was analyzed, with authoritarianism measured using a three-dimensional scale. The implicit multidimensional structure (authoritarian submission, conventionalism, authoritarian aggression) of Altemeyer’s (1981, 1988) conceptualization of authoritarianism is inconsistent with its one-dimensional methodological operationalization. The dimensionality of authoritarianism was investigated using confirmatory factor analysis in a sample of 713 university students. As hypothesized, the three-factor model fit the data significantly better than the one-factor model. Regression analyses revealed that only authoritarian aggression was related to social dominance orientation. That is, only intolerance of deviance was related to high social dominance, whereas submissiveness was not.

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