The one-dimensional (ID), nearest-neighbor (nn), S=f Heisenberg antiferromagnet is one of the few nontrivial many-body problems with interesting dynamics for which exact solutions exist. In 1931, Bethe 1 found the ground-state eigenfunction, and he showed that no long-range order exists even at 0 K. Somewhat later, Hulthen 2 derived the ground-state energy E 0 =-\J\N(2 ln2 -£). In 1962, des Cloizeaux and Pearson 3 (dC-P) found that the first excited states obey the simple dispersion relationwhere c is the nn separation, and they identified these excitations as "spin waves." They noted that, quite remarkably, the dispersion relation, Eq.(1), has a double periodicity of TT just as in standard spin-wave theory 4 starting from an assumed Neel ground state. However, the coefficient of J in Eq. (1) is equal to IT, compared with 2 for classical spins. 4 It has not proven possible, 27 J. R. Brookeman and T. A. Scott, Acta Crystallogr., Sect. B 28, 983 (1972). 28 J. R. Brookeman, M. M. McEnnan, and T. A. Scott, Phys. Rev. B 4, 3661 (1971).
We have carried out inelastic neutron scattering on CuC12 2N(C5D5), at T =1.2 K and at magnetic fields up to 70 kOe. The spin dynamics of this typical s =one-dimensional Heisen-2 berg antiferromagnet have previously been investigated at zero magnetic field by Endoh et al. , using neutron scattering. They observed a spectrum of magnetic excitations in close agreement with the spectrum of lowest excited states as calculated exactly by des Cloizeaux and Pearson (dCP). The marked asymmetry in the line shape of the neutron response previously observed is carefully reexamined and is shown to be a true effect, in agreement with several theoretical predictions. At high magnetic field, a broadening of the neutron response is observed, especially pronounced at the antiferromagnetic zone boundary, where the peak smears out at 70 kOe. For wave vectors near an antiferromagnetic Bragg point a decrease in the peak energy is observed for increasing field, lending qualitative support to the calculations of Ishimura and Shiba of the field dependence of the dCP states.
A large number of complexes of tetraaza macrocyclic ligands is known. These ligands have from 12 to 16 atoms in the ring, and the most common structure is a 14-membered ring. The simplest of the ligands is 1,4,8,1 l-tetraazacyclotetradecane :A variety of metal complexes of this ligand have been prepared, including the metals C O ,~ Ni,2 and Rh.3 Coordination is generally in a planar fashion, although cis coordination to CO(III)~ has been reported. These complexes were first prepared by direct interaction of the ligand with the metal salt. Unfortunately, this ligand, unlike others of its class,5 has previously been available only through laborious organic syntheses.V Recently an in situ preparation of the nickel(I1) complex was reported.7 The ligand can easily be removed from the nickel(I1) and used in the preparation of other metal complexes.Given here is an improved version of this in situ synthesis which provides high yields of the nickel(I1) perchlorate complex. Procedures for removing the ligand from the metal and for its purification are also given.
A pseudophase diagram for ternary compositions of n-hexane, water and 2-propanol has been published previously. Some of the compositions exhibited the physical characteristics of a water/oil (w/o) microemulsion even though a detergent was not present. We have now determined the effect of ionic materials on the system by replacing water with NaCI solutions'. Addition of NaCI caused significant changes in the location of region boundaries. The microemulsion was stabilized while a region of small H-bonded aggregates appeared to be destabilized by the added NaCI. An investigation of these systems by NMR, with or without added NaCI, showed that "bulk" water was present in the detergentless microemulsion. In addition, NMR was found to be a useful tool for locating region boundaries and for elucidating the nature of compositions assigned to these regions.
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