One-dimensional X-Y model with random coupling constants. I. Thermodynamics

1970 ◽  
Vol 3 (7) ◽  
pp. 1419-1432 ◽  
Author(s):  
E R Smith
2019 ◽  
Vol 2019 ◽  
pp. 1-7
Author(s):  
Lian he Li ◽  
Yue Zhao

Interaction of a screw dislocation with wedge-shaped cracks in one-dimensional hexagonal piezoelectric quasicrystals bimaterial is considered. The general solutions of the elastic and electric fields are derived by complex variable method. Then the analytical expressions for the phonon stresses, phason stresses, and electric displacements are given. The stresses and electric displacement intensity factors of the cracks are also calculated, as well as the force on dislocation. The effects of the coupling constants, the geometrical parameters of cracks, and the dislocation location on stresses intensity factors and image force are shown graphically. The distribution characteristics with regard to the phonon stresses, phason stresses, and electric displacements are discussed in detail. The solutions of several special cases are obtained as the results of the present conclusion.


2019 ◽  
Vol 75 (11) ◽  
pp. 1475-1481 ◽  
Author(s):  
Wenlong Lan ◽  
Zhen Zhou ◽  
Jie Li ◽  
Yong Dou ◽  
Xiaoyun Hao ◽  
...  

A new cyanide-bridged FeIII–MnII heterobimetallic coordination polymer (CP), namely catena-poly[[[N,N′-(1,2-phenylene)bis(pyridine-2-carboxamidato)-κ4 N,N′,N′′,N′′′]iron(III)]-μ-cyanido-κ2 C:N-[bis(4,4′-bipyridine-κN)bis(methanol-κO)manganese(II)]-μ-cyanido-κ2 N:C], {[FeMn(C18H12N4O2)(CN)2(C10H8N2)2(CH3OH)2]ClO4} n , (1), was prepared by the self-assembly of the trans-dicyanidoiron(III)-containing building block [Fe(bpb)(CN)2]− [bpb2− = N,N′-(1,2-phenylene)bis(pyridine-2-carboxamidate)], [Mn(ClO4)2]·6H2O and 4,4′-bipyridine, and was structurally characterized by elemental analysis, IR spectroscopy, single-crystal X-ray crystallography and powder X-ray diffraction (PXRD). Single-crystal X-ray diffraction analysis shows that CP 1 possesses a cationic linear chain structure consisting of alternating cyanide-bridged Fe–Mn units, with free perchlorate as the charge-balancing anion, which can be further extended into a two-dimensional supramolecular sheet structure via inter-chain π–π interactions between the 4,4′-bipyridine ligands. Within the chain, each MnII ion is six-coordinated by an N6 unit and is involved in a slightly distorted octahedral coordination geometry. Investigation of the magnetic properties of 1 reveals an antiferromagnetic coupling between the cyanide-bridged FeIII and MnII ions. A best fit of the magnetic susceptibility based on the one-dimensional alternating chain model leads to the magnetic coupling constants J 1 = −1.35 and J 2 = −1.05 cm−1, and the antiferromagnetic coupling was further confirmed by spin Hamiltonian-based density functional theoretical (DFT) calculations.


1985 ◽  
Vol 63 (4) ◽  
pp. 849-853 ◽  
Author(s):  
William F. Reynolds ◽  
Raul G. Enríquez ◽  
Marco A. Chavez ◽  
Ana L. Silba ◽  
Miguel A. Martinez

The 1H and 13C spectra of mikanokryptin are unambiguously assigned using a variety of one-dimensional nmr experiments (selective homonuclear decoupling, use of inversion–recovery pulse sequences to reveal hidden peaks, and DEPT spectral editing) in conjunction with normal and "long range" two-dimensional heteronuclear correlated experiments. Detailed comparison of vicinal, allylic, and homoallylic 1H—1H coupling constants with dihedral angles determined from an earlier crystal structure determination indicates that solution and solid state configurations are similar.


1994 ◽  
Vol 106 (1) ◽  
pp. 119-122 ◽  
Author(s):  
K.E. Kover ◽  
D. Jiao ◽  
D. Uhrin ◽  
P. Forgo ◽  
V.J. Hruby

2005 ◽  
Vol 60 (10) ◽  
pp. 1021-1026 ◽  
Author(s):  
Khodayar Gholivand ◽  
Zahra Shariatinia ◽  
Mehrdad Pourayoubi ◽  
Sedigheh Farshadian

New diazaphospholes and diazaphosphorinanes with formula were synthesized and characterized by 1H, 13C, 31P NMR and IR spectroscopy and elemental analysis. The structure of compound 1 has been determined by X-ray crystallography. A one-dimensional polymeric chain was observed in the crystalline lattice produced by intermolecular -P=O. . .H-N- and -C=O. . .H-N-hydrogen bonds. Compounds 1 and 2 contain five-membered rings and show high values for 2J(PNH) and 2J(P,C) coupling constants due to the ring strain. These constants are reduced seriously in compounds with six-membered rings. In compound 6 with CCl3C(O)NH moiety, all phosphorus-hydrogen couplings are zero.


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