Thesis (M.S.)--Brigham Young University. Dept. of Audiology and Speech-Language Pathology, 2005. / Includes bibliographical references (p. 40-45).

Thesis (Ph. D.)--University of Wisconsin--Madison, 1980. / Typescript. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references (leaves 233-245).

Thesis (Ph. D.)--University of Wisconsin--Madison, 1980. / Typescript. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references (leaves 243-252).

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A technology that has the potential to liquefy hydrogen and natural gas efficiently is an Active Magnetic Regenerative Liquefier (AMRL). An AMRL exploits the magnetocaloric effect displayed by magnetic materials whereby a reversible temperature change is induced when the material is exposed to a magnetic field. This effect can be used to produce cooling. By using the magnetic materials in a regenerator as the heat storage medium and as the means of work input, one creates an Active Magnetic Regenerator (AMR). Because the adiabatic temperature change is a strong function of temperature for most materials, to span a large temperature range such as that needed to liquefy hydrogen, a number of different materials may be needed to make up one or more regenerators. Single material AMRs have been proven, but layering with more than one material has not. This thesis is a study of AMRs using magnetic refrigerants displaying second-order paramagnetic to ferromagnetic ordering. An analysis of AMR thermodynamics is performed and results are used to define properties of ideal magnetic refrigerants. The design and construction of a novel test apparatus consisting of a conduction-cooled superconducting solenoid and a reciprocating AMR test apparatus are described. A numerical model is developed describing the energy transport in an AMR. Experiments using Gd are performed and results are used to validate the model. A strong relationship between flow phasing is discovered and possible reasons for this phenomenon are discussed. Simulations of AMRs operating in unconventional modes such as at temperatures greater than the transition temperature reveal new insights into AMR behaviour. Simulations of two-material layered AMRs suggest the existence of a jump phenomenon occurring regarding the temperature span. These results are used to explain the experimental results reported by other researchers for a two-material AMR. / Graduate

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This thesis will present the synthesis, characterization and magnetic measurements of lanthanide complexes with varying nuclearities (Ln, Ln2, Ln3 and Ln4). EuIII, GdIII, TbIII, DyIII, HoIII and YbIII have been selected as the metal centers. Eight polydentate Schiff-base ligands have been synthesized with N- and mostly O-based coordination environments which chelate 7-, 8- or 9-coordinate lanthanide ions. The molecular structures were characterized by single crystal X-ray crystallography and the magnetic properties were measured using a SQUID magnetometer. Each chapter consists of crystal structures and magnetic measurements for complexes with the same nuclearity. There are eight DyIII SMMs in this thesis which are discrete molecules that act as magnets below a certain temperature called their blocking temperature. This phenomenon results from an appreciable spin ground state (S) as well as negative uni-axial anisotropy (D), both present in lanthanide ions owing to their f electron shell, generating an effective energy barrier for the reversal of the magnetization (Ueff). The ab initio calculations are also included for the SMMs with high anisotropic energy barriers to understand the mechanisms of slow magnetic relaxation in these systems.

Single-molecule magnets (SMMs) have been lauded for their application in next generation devices for their enhanced information storage capabilities, increased processing speeds, and increased storage densities compared to bulk magnets. However, the success of SMMs in such applications and their technological readiness is hindered by their operation temperatures and memory lifetimes. SMMs are molecular species that possess a bistable ground state and magnetic anisotropy, which together result in an energy barrier to the reorientation of the magnetic moment. The magnetic memory response relies on its ability to retain magnetization in the absence of an external field. To this end, lanthanide ions with their large inherent magnetic anisotropy combined with well-defined crystal field microstates are attractive candidates for eliciting higher operation temperatures and lifetimes. This dissertation focuses on the use of lanthanide ions in the development of high barrier SMMs with a close emphasis on the magnetic anisotropy and crystal field manipulation through geometry, design, and modification. In the pursuit of lanthanide (Ln)-based SMMs, two cyclooctatetraenyl (COT2-) complexes of the non-Kramers ion, TmIII, [TmIII(η8-COT)I(THF)2] and [K(18-C-6)(THF)2][TmIII(η8-COT)2], were isolated. As an ion that possess an integer angular momentum projection (J = 6), it was vital that a highly symmetric local environment was utilized to observe field-induced slow magnetic relaxation. The static and dynamic properties of TmIII(η8-COT)I(THF)2] and [K(18-C-6)(THF)2][TmIII(η8-COT)2] were characterized revealing Ueff of 7.93 K and 53.3 K, respectively. More importantly, the effect of increased symmetry was observed on the rate of quantum tunneling of the magnetization (QTM), where the rate was two orders of magnitude faster in the heteroleptic complex. This emphasized the importance of local symmetry for non-Kramers ions and contributed to the rare class of TmIII SMMs. Due to the prevalent role of QTM in Ln-based SMMs, a common strategy is to induce magnetic communication between Ln ions to overcome its detrimental effects. To this end, bridging units should be sufficiently small enough to bring the Ln ions close in proximity, yet the surrounding environment of the metal center should still promote uniaxial magnetic anisotropy. We compared the effect of ancillary ligands on the magnetic properties of two dinuclear DyIII compounds with the same {μ-Cl}2 core bridge. The complexes [DyIII{N(SiMe3)2}2(μ-Cl)(THF)]2 and [DyIII(η8-COT)(μ-Cl)(THF)]2 were characterized with static and dynamic magnetic measurements. The well-matched ligand field of the silyl amide ligands with the DyIII ion, precluded the observation of zero field tunneling. While both complexes are characterized by antiferromagnetic coupling, it is evident that peripheral ligands also play a vital role in determining the performance of multinuclear SMMs. Magnetic coupling between 4f centers is classically weak; however, the use of ligands with diffuse electron clouds may penetrate the shielded 4f orbitals to effectively promote communication. One such ligand that had not previously been investigated for its ability to couple the magnetic moment of Ln ions was the trianionic cycloheptatrienyl. Utilizing Ln silyl amides, in situ deprotonation afforded the dinuclear complexes [KLnIII2(η7-C7H7){N(SiMe3)2}4] (Ln = GdIII, DyIII, ErIII). The static and dynamic magnetic characterization revealed rare and highly sought-after ferromagnetic coupling in a Ln-based system. The ancillary silyl amide ligands were a necessity for the isolation of these dinuclear species yet did not provide a synergistic ligand field for the Ln ions when combined with the cycloheptatrienyl bridge, ultimately preventing the observation of slow relaxation in some of the variants studied. Pseudo-linear complexes, those molecules with strong axial donors have shown immense promise in the design of highly efficient SMMs. Our work has shown that amides are effective in directing the anisotropy of the Ln ions, thus the removal of the central organometallic bridge from the previous compounds would effectively create a highly anisotropic complex. This was achieved in our study of a formally five-coordinate complex of a ferrocene diamide ligated DyIII ion, [(NNTBS)DyIIII(THF)2]. The static and dynamic magnetic properties were characterized, yielding Ueff = 771 K with open magnetization hysteresis loops at zero-field, due in part to the axial disposition of the nitrogen atoms of the diamide ligand. Computational analysis of the parent compound and its fragments was completed. Our results indicated that the presence of equatorially coordinated solvent molecules such as THF, influence the axiality in the crystal field microstates more significantly than the coordinated halide. The removal of coordinated solvent such as THF, is imperative to improve the performance of DyIII SMMs. By way of a bulky bisanilide ligand that precludes the approach of solvent to the metal center, combined with a large bite angle, [K(DME)n][LArDyIII(X)2], a formally four coordinate complex, was investigated. In contrast to the complex of the ferrocene diamide ligand, retention of the magnetic moment was not observed at zero-field, despite the fact that the slow relaxation dynamics occurred over a greater temperature range for which Ueff = 1278-1334 K. In addition, variants of the bound halide (X = Cl, I) were examined for their effect on the static and dynamic magnetic properties, revealing zero field relaxation times that were on average 5.6x longer for the heavier congener. The collective results of the findings presented herein are being utilized to synthesize new low-coordinate Ln-based SMMs. Combining divalent and redox chemistries with bulky amido ligands will ideally elicit even larger energy barriers to spin reversal and higher blocking temperatures, supporting the push towards Ln-based SMMs with increased technological readiness.

<p> Low dimensional quantum magnets which display a collective singlet ground state and a gap in their magnetic excitation spectrum provide a framework for much exotic phase behavior in new materials, with high temperature superconductivity being the best appreciated example. Neutron scattering techniques can be applied to study a wide variety of problems in condensed matter physics. These techniques are particularly useful as applied to understanding the magnetic properties of quantum magnets that display exotic phases.</p> <p> SrCu2(BO3)2, is a rare example of a two-dimensional quantum magnet for which an exact theoretical solution describing its ground state is known to be a collective singlet. Previous high resolution neutron scattering measurements identified the most prominent features of the spin excitation spectrum in SrCu2(BO3)2, including the presence of one and two triplet excitations and weak dispersion characteristic of subleading terms in the spin Hamiltonian.</p> <p> The resemblance between the spin gap behavior in the Mott insulator SrCu2(BO3)2 and that associated with high temperature superconductors motivated the consideration of the significance of doping in order to understand the properties of this quantum magnetic system. For this reason, a series of neutron scattering studies on doped SrCu2(BO3)2 were initiated.</p> <p> These series of investigations began with the performance of neutron scattering measurements on a SrCu(2-x)Mgx(BO3)2 single crystal in order to introduce magnetic vacancies to the system. These results revealed the presence of new spin excitations within the singlet-triplet gap of this system. Application of a magnetic field induces Zeeman-split states associated with un-paired spins which exist as a consequence of doping with quenched non-magnetic impurities. Additional substantial broadening of both the one and two triplet excitations is observed in the doped system as compared to the pure system. Theoretical calculations are shown to qualitatively account for these features.</p> <p> These studies were extended to neutron scattering measurements on Sr(1-x)LaxCu2(BO3)2, with an aim of introducing charged carriers into this system. The broadening of the one and two triplet excitations is observed and compared to the thermally induced finite lifetime of the pure system. The temperature dependence of this broadening in Sr(1-x)LaxCu2(BO3)2 is different compared to that observed in both SrCu2(BO3)2 and SrCu(2-x)Mgx(BO3)2.</p> <p> It has also been suggested that there is a relation between the spin-lattice interaction in SrCu2(BO3)2 and the magnetic dynamics at low temperatures and high magnetic fields. For this reason there has been increased interest in the study of the crystalline structure and vibrational modes of SrCu2(BO3)2. In order to investigate the role of the lattice in the formation of the singlet ground state in SrCu2(BO3)2, a series of low and high energy neutron scattering measurements were carried out on this system to study both the crystalline structure as well as the normal modes of vibration of the lattice, the transverse acoustic and optical phonons. Transverse acoustic phonons with energies comparable to and higher than the onset of the two triplet continuum show substantially increased lifetimes on entering the singlet ground state below ~ 10 K. This may indicate the removal of the decay channel for the phonons due to the gapping of the spin excitation spectrum in SrCu2(BO3)2 at low temperatures. In high energy inelastic neutron scattering we observe broadening of optic phonons in the ~ 52 to 65 meV region on entering the low temperature singlet ground state.</p> <p> Additionally, the magnetic properties of CuMoO4, which is a triclinic quantum magnet system based on S=1/2 moments at the Cu2+ site, were studied using elastic and inelastic neutron scattering experiments. This material exhibits a first order structural phase transition at ~ 190 K as well as a magnetic phase transition at ~ 1.75 K. We were primarily interested in the low temperature magnetic properties of this material. Magnetization and heat capacity measurements as well as elastic and inelastic neutron scattering measurements were conducted on this system within the low temperature ordered phase. These studies confirm that this material has a magnetic phase transition at ~ 1.7 K. Neutron scattering results indicate that this magnetically ordered phase is characterized by a doubling of the a axis. Inelastic neutron scattering measurements revealed a gapped magnetic excitation spectrum in zero magnetic field, which could be filled in by the application of magnetic fields approaching 7 T.</p> / Thesis / Doctor of Philosophy (PhD)

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