M.Sc. Physics
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High Temperature Method Of Measuring Electrical And Magnetic Properties Of Europium Doped Nickel OxideThe measurement of the magnetic moment of materials as a function of temperature in modern AC or DC magnetometers normally has a limited high temperature range up to 400 K. To overcome this problem one needs to design ovens which can handle high temperatures. The highest Curie temperature observed in materials is in pure Co which is about 1400 K. However, most materials and compounds show Tc below 800 K. My thesis research topic is to study the substitution of Ni ions by rare earth ions in NiO. The NiO is a semiconductor which exhibits antiferromagnetism below 520 K, which makes it suitable for applications; to name a few, rechargeable batteries, and ptype transport conducting lms. In this study, Ni ions were substituted by 2, 5, and 8 percent of Eu ions. The effect of substitution on the semiconducting properties of Ni1xEuxO was studied as function of temperature from room temperature to 1000 K. To study the magnetic properties and the effect of Eu substitution on the Neel temperature of Ni1xEuxO we adapted two ovens for high temperature measurements of AC susceptibility by using the ac modulation technique implementing a lockin ampli er and the DC susceptibility using the SQUID magnetometer. To check the reliability of these two ovens we also examined the ferromagnetic transition temperatures of Bismuth Ferrite samples as function of Co substitutions for Fe.

Electronic and Magnetic Properties of MAX Phase (Cr1xGdx)2AlC and Er3AlC AlloyBulk samples of (Cr1xGdx)2AlC with X = 0, 0.0025, 0.01, 0.025, 0.05 and Er3AlC compound were synthesized using the arc melting technique. The samples were characterized by Xray diffraction, magnetic susceptibility, and four probe resistivity measurements to study their magnetic and electronic properties. Using Rietveld analysis for Xray diffraction, it was determined that the parent compound Cr2AlC exhibits a side phase of Cr7C3. The substituted samples were found to have secondary phases of Cr7C3 and GdCr3.5Al8.5 which slightly increase on increasing substitution of Cr3+ by Gd3+. The change of the concentration of Gadolinium does not have any real effect on the lattice parameter of (Cr1xGdx)2AlC. Er3AlC contains secondary phases of ErAl2 and ErC0.6. The MAX phase Cr2AlC and the Gadolinium substituted samples show complex magnetic behaviour. The magnetization measurements show that Cr2AlC has an unusual magnetic behavior above 70 K which does not obey the CurieWeiss law. The sample with X = 0.0025 also does not obey the CurieWeiss law at high temperature. The susceptibility data shows that samples with X = 0.01, 0.025, and 0.05 obey the CurieWeiss law, and the magnitude of the effective magnetic moments decreases while increasing the value of X. The susceptibility data of Er3AlC obey the CurieWeiss law; and the effective moment is 9.1 ± 0.005 𝛍B. The resistivity measurement of the parent sample Cr2AlC indicates metallic behavior. In the Gdsubstituted samples, we observed a Kondo Effect from the resistivity data. The resistivity of Gdsubstituted samples increases with increasing Gadolinium concentration. We also observed metallic behavior in the Er3AlC resistivity.

Resistivity of Single Crystal Molybdenum DioxideThe chemical vapour transport method was used to grow molybdenum oxide single crystals so that their electrical properties could be analyzed. Satisfactory single crystal samples of MoO2 and Mo4O11 were grown successfully using I2 as a transport agent. Crystal growths using TeCl4 as a transport agent were also performed, though with mixed results. This approach yielded MoO2, MoO3, and Mo9O26, but this produced samples of a quality not suitable for single crystal analysis. Measurements performed on these samples yielded unique results, due to their mixed oxide nature, but as the composition of each sample was inconsistent, even between crystals from the same growth, little can be said about them definitively. Rubidium doped single crystal growths were also attempted, to build on previous polycrystalline Rb doped sample research, however no growths successfully included measurable amounts of Rb. While resistivity and heat capacity measurements performed on MoO2 did identify a phase transition in the area of 267K reported by other researchers, there was however no evidence found to support a reported 220K electronic transition [1]. In Mo4O11 two previously identified 109K and 30K charge density wave transitions were observed in the DC resistivity. When AC resistivity measurements were performed the 30K transition was not apparent. Instead, a divergence of the cooling and warming curves not seen in the DC experiments occurred above 200K, with previously unseen peaks appearing at 285K and 250K when cooling from 400K.

Deformations of Maxwell gauge field theoryDeformations of Maxwell gauge theory are studied in 2+1 dimensions. Unlike in previous work in the literature, no Lagrangian structure is assumed for possible deformations, and instead the requirement of gauge invariance of the deformed field equations under the deformed gauge symmetry is used. The results yield a new nonlinear generalization of Maxwell gauge theory. A nonabelian extension of this theory is also obtained.

Travelling Wave Solutions on a Nonzero Background for the Generalized Kortewegde Vries EquationIn presenting this thesis, we try to find all nonperiodic travelling waves of the generalized Kortewegde Vries (gKdV) equation u_t +\alpha u^p u_x +\beta u_{xxx}=0 using an energy analysis method. Since the power p in the gKdV equation is arbitrary, we consider positive integer values for $p$. We first check the method for two cases where p=1 and p=2 which are known as the KdV and the mKdV equations, respectively. Then, we look at the general case where p greater than or equal 3 is arbitrary. By applying the energy analysis method on the KdV and the mKdV equations, we will find an explicit form of solitary waves on a nonzero background. Afterwards, we reparametrize the derived solutions in terms of speed and the background size to interpret these solutions physically. We also look at some limiting cases in which heavytailed and kink waves arise in the mKdV equation. At last, we split up the gKdV equation into two cases of odd and even $p$ powers and apply a similar derivation. In each case, the implicit solutions are introduced and characterized by their features.

An Analogue of the LaplaceRungeLenz Vector for Timelike Geodesics in Schwarzschild SpacetimeIn Schwarzschild spacetime, the timelike geodesics are the trajectories of free, massive particles, orbiting a singularity at the origin r = 0. In this work we derive four scalar first integrals of timelike geodesics in Schwarzschild spacetime. Two of the first integrals, corresponding to energy and angular momentum, are wellknown. The other two first integrals, an angular quantity and a temporal quantity, are not as wellknown. Using the freedom to shift first integrals by a constant value we set a ‘zeropoint’ for each of the four first integrals. By choosing a natural point on a noncircular trajectory such as a turning point or inertial point to set the zeropoint value, the angular and temporal first integrals will correspond respectively to the angle and time of the chosen zeropoint. We then take the Newtonian limit of the angular and temporal first integrals, and show that using a natural choice of zeropoint they provide a generalization of the classical LaplaceRungeLenz (LRL) vector. We then evaluate the angular first integral for each type of timelike geodesic in Schwarzschild spacetime. In most cases we are able to choose a turning or inertial point to set a zeropoint. For an unbound or asymptotic trajectory which falls into the singularity of the metric at r = 0, however, we find that we must take a different point, such as the point where the trajectory crosses the horizon at r = 2M, which we call the ‘horizon point.’ For the case of a precessing elliptic orbit we find that the angular first integral is multivalued, with the zeropoint jumping each time the trajectory crosses an apoapsis. It is found that the angular and temporal first integrals provide a relativistic generalization of the classical LRL vector, where we the first integrals correspond to a larger class of physically meaningful points compared to Newtonian orbits and where the LRL vector and angular and temporal first integrals may always correspond to the periapsis.

Electronic and Magnetic Properties of Pyrochlore (Eu(1x)Dyx)2Ir2O7The pyrochlore (Eu(1x)Dyx)2Ir2O7 for x = 0, 0.25, 0.50, 0.75, and 1.0 were prepared using solidstate reaction method. As the Dy concentration increases, the Xray results indicate a systematic decrease of the cubic lattice parameter of (Eu(1x)Dyx)2Ir2O7. We observed metal insulator transition in all compounds in addition two new anomalies at high temperatures in specifi c heat and resistivity results. The origin of these anoma lies have not yet been identifi ed. The metal insulator transition temperature TMI of (Eu(1x)Dyx)2Ir2O7 increases with the reduction in the lattice parameter. In the mag netic susceptibility results, the effective magnetic moment increases with the increment of the Dy substitution for Eu ions. The magnetic fi eld dependence of resistivity was in vestigated for all samples, negative and positive magnetoresistance effects are discussed.

Investigation into the Magnetoelectric Effect and Magnetic Properties of Irondoped Cobalt MolybdateThe plausibility of revealing linear magnetoelectric coupling is investigated in the cobalt molybdate (Co2Mo3O8). Recently, Wang et al.[Scientific Reports. 2015;Vol. 5:Article 12268] showed that iron molybdate(Fe2Mo3O8) can be induced into a ferrimagnetic state from a nominal antiferromagnetic state via application of a magnetic field. As such, it may be possible that cobalt molybdate exhibits a similar effect intrinsically or with addition of iron dopant. Single crystals of the hexagonal molybdate (Co(1x)Fe(x))2Mo3O8 (x=0, 0.25, 0.5, 0.75, 1) were synthesized via chemical vapour transport. The magnetic properties were investigated along the polar axis and in the basal plane. Despite doping with iron, no metamagnetic phase transition was present in (Co(1x)Fe(x))2Mo3O8 (x=0.25, 0.5, 0.75). Low field measurements of the susceptibility reveal the presence of an anisotropic ferromagneticlike moment, which is suppressed at moderate fields. This is believed to be a product of an exchangebiaslike phenomena, which is not fully understood. The magnetocapacitance was measured along the caxis for x=(0.25, 0.5). Co1.5Fe0.5Mo3O8 exhibits the conventional magnetodielectric effect, with a proportionality constant of 5.1(0.3) x10^(14) Oe^(2) at 40K, while the capacitance of Co1Fe1Mo3O8 shows linear dependency on H, with slope 6.99(0.07) x10^(9) Oe^(1) at 49K.

A critical analysis of the 2H NMR data in chlorhexidinecontaining model membranesDeuterium nuclear magnetic resonance spectroscopy was used to study the in uence of chlorhexidine on the internal molecular motions of phospholipid model membranes. Mixtures of dimyristoylphosphocholine (DMPC) and chlorhexidine (CHX) were investigated at several DMPC:CHX molar ratios (1:0,10:1,3:1). Extensive numerical analysis of previously acquired data identi ed the di erences in the temperaturedependence of the order parameters characterizing the rapid molecular motions (on the NMR scale) in both the fatty acid chains of DMPC and in the saturated methylene bridge of CHX. The results are consistent with the known localization of CHX in the membrane determined by neutron scattering [1] and con rmed by molecular dynamics simulations reported earlier [2]. The NMR results indicate that chlorhexidine undergoes di erent motions than those of the bulk lipids in the membrane. The study used a Tikhonovregularizationbased numerical deconvolution technique (dePakeing) that allowed simultaneous determination of the order parameter and of the orientational distribution of domains in the powder sample, partially oriented by the external magnetic eld. Both appeared to suggest an anomalous result in a narrow temperature region for the 3:1 sample, perhaps the existence of a new reentrant phase, but this conclusion could not be made from the limited data available, and requires a further investigation.

Effect of rattling Phonons on Superconductivity of KOs_2O_6We model the electron coupling to anharmonic (rattling) mode in βpyrochlore superconductor KOs2O6 by a sharply peaked electronphonon coupling function α2F(Ω) centered at the mode energy. The strongcoupling Eliashberg equations are solved for the transition temperature Tc and the gap function ∆(ω,T) for a series of temperatures 0 < T < Tc. From these solutions, we obtain the temperature dependence of the gap edge ∆(T), the nuclear magnetic resonance (NMR) relaxation rate and the microwave conductivity for several values of the electronphonon coupling parameter λ. The results are compared with the available experimental results 0 for KOs2O6

Magnetic and Dielectric Properties of Cu3xNixWO6 and Cu3W1xMoxO6Cu3WO6 is a compound with an interesting coordination chemistry for both Cu and W. In this research, all samples were made by using the standard Solid Phase Reaction method with and without any doping. Using Powder xray diffraction and Rietveld analysis, we did not observe any distortion of the cubic crystal. Ni substitution for Cu, and Mo substitution for W, will act as a negative pressure on the lattice parameter of Cu3WO6. Magnetization measurements of Cu3xNixWO6 indicate that all compounds undergo an antiferromagnetic phase transition at the Néel temperature. However, a significant change was observed in Néel temperature with Ni’s concentration. All compounds show Curie–Weiss antiferromagnetic behavior at high temperatures. The value of the 𝛍eff is close to the theoretical calculation in Cu3WO6. And the magnitude of 𝛍eff (exp) increases with Ni’s concentration. A spinsinglet ground state with energy gap at low temperatures was observed for all compounds. The energy gap 𝚫 is decreasing with the increasing concentration of Ni. The dielectric permittivity as a function of temperature and different frequency from1 kHz to 20 kHz for all samples, were investigated. A peak in dielectric loss ε'' appears between 150 K to 260 K in all samples of Cu3xNixWO6. The peak position has a linear relationship with log10(𝑓) as a function of temperaure. The doping of Ni causes a gradual shift in the peak position. The activation energy Ea is decreasing with the increasing of Ni’s concentration.

Numerical Solutions of Laplace's Equation for Various Physical SituationsThere are two projects in this thesis. In the first project, a general method is introduced to numerically calculate the resistance of truncated resistors in cylindrical coordinates, with nonconstant crosssectional area. The problem of finding the resistance of a truncated conical resistor is given in some introductory textbooks as a simple problem. The textbook method is flawed however, and leads to the wrong answer. The textbook method assumes that the electric potential distribution inside the truncated cone is approximately equivalent to a cylindrical resistor. This assumption ignores the constricting affect that the boundary of the truncated conical resistor has on the electric potential inside. The deformation of the electric field is not accounted for by excess charge or changing magnetic fields, instead it is the result of a derivative operation called the shear of the field. Numerical solutions for the resistance of truncated conical, ellipsoidal, and hyperboloidal resistors are presented as a function of a/b, where a is the radius of the smallest crosssectional area and b is radius of the largest. It was found that the textbook solution always underestimates the numerical value of the resistance. In the second project, dielectric breakdown clusters were grown with a stochastic two dimensional Dielectric Breakdown Model (DBM) on a honeycomb, square, and triangle lattice, as well as on a random distribution of nodes. On the regular lattices the number of nearest neighbours was a constant at all lattice sites. For a random distribution of nodes there was variation in the number of nearest neighbours at different nodes. Some percentage of the nodes were isolated from the rest of the distribution, because they had 0 nearest neighbours. Distributions of nodes in which many of the nodes had 0 nearest neighbours indicated a medium with high density fluctuations. The motivation for this work was to study the relationship between the fractal dimension of the dielectric breakdown clusters and the number of nearest neighbours, and the density variation of the medium. The singularity spectra were calculated for the clusters, as well as their fractal dimension using box counting, and sandbox methods. It was found that the dielectric breakdown model produces monofractal clusters. As such, the dimension of the clusters can be represented by a single fractal dimension. In the DBM, the probability of a perimeter site connecting to the cluster is proportional to the strength of the local electric field raised to an exponent. If the exponent is a large positive number then perimeter sites which feel a stronger electric field are more likely to connect to the cluster. Increasing the exponent produces clusters which resemble lightning, with a fractal dimension lower than the dimension of the lattice. Similarly increasing the percentage of isolated nodes decreases the fractal dimension.

Infrared Spectroscopy Of Ba_3+y Co_1+xNb_2O_9 CeramicsThe dielectric properties of ceramic Ba3+y Co1+xNb2O9 where x= 0,0.07,0.03 and y = 0, 0.03 were characterized because it might used for a wide range of applications including wireless communication used in mobile communication, ultra high speed local area networks, intelligent transport system and satellite communications. Room temperature optical re ectivity measurements of ceramics sintered at di erent temperatures between 1200 C to 1500 C were made covering the spectral range between 708000 cm1. The Lorentz model was used to t the re ectance data to make extrapolations for Kramers Kronig (KK) analysis and to estimate the microwave properties. K K analysis was applied to extract the other optical response functions from the re ectance data ( optical conductivity and dielectric permittivity). Powder XRay di raction measurements were done with 2 in the range between 10 to 80 degree for all samples. Most samples exhibit some degree of 1:2 ordering which appears as small superlattice peaks at 17.6 and 12 degree. All samples exhibit a small amount of impurity phases. The main purpose of this work is to study the e ect of the density, 1:2 ( Co:Nb) ordering and concentration of Cobalt on the dielectric properties. It was shown that density has a clear e ect on the dielectric properties. For example 1 (50 cm1) decreased if the densjhfnadfity decreased. On the other hand the change of the concentration of Cobalt does not have any real e ect on the dielectric properties. 1:2 order also has an e ect on the dielectric properties. It was observed that the scattering rate of the optical phonon was smaller in sample exhibiting more 1:2 order.

Effect of Topological Morphology on Optical Filtering Properties of Porous SiliconMacroporous silicon samples of differing topological porous properties were manufactured by way of electrochemical etching. Different etching parameters (etching current, time, electrolyte concentration) were used on four different (in terms of crystal orientation and resistivity) types of samples in order to obtain a series of samples of differing pore topology. It is known that macroporous silicon acts as a highwavelength pass filter in the infrared regime. FTIR spectroscopy was performed on each of these samples in order to obtain an optical cutoff wavenumber for each sample. Furthermore, SEM analysis was performed in order to determine the number of pores per unit area on the surface as well as the percentage of the surface that was covered in pores for each sample. Furthermore, the average linear dimension per pore was determined using these values. Finally, the average poretopore distance was also estimated on each sample. These four sets of measurements were performed in order to find a relationship between the optical and topological properties of macroporous silicon. It was found that there is a relationship between pore number density and cutoff; the cutoff wavenumber increases as the pore number density is increased. Additionally, a correlation between the pore spacing and the cutoff was also determined; the cutoff wavelength increases as the pore spacing increases. It was expected that there would be a correlation between the average linear dimension per scattering element as is seen in other types of scattering filters; however such a trend was only observed for one of the sample types. This suggests that the scattering mechanism by which porous silicon filters operate differs between samples of significantly differing surface topology. In addition to this, the temperaturedependence of the cutoff was investigated. Through lowtemperature optical analysis using FTIR spectroscopy and liquid helium as a coolant, it was determined that the cutoff wavenumber exhibits no temperaturedependence below 100 K. For higher temperatures, the measurements performed were inconclusive. This was due to the thermal expansion at higher temperatures of the copper sample holder coupled with the inhomogeneity of the surface structure of each of the silicon filters.

Preparation of Single Crystal Molybdenum Bronzes and Polycrystalline Rubidium Molybdenum OxideLithium purple bronze (LiPB) Li0.9Mo6O17 was studied extensively in the 1980’s and has recently regained interest in the research community. The mechanism for the metalinsulator (M/I) transition at ∼25 K and superconductivity at ∼2 K is still unknown. The temperature gradient flux technique has been used to grow single crystal LiPB. A large superconducting LiPB single crystal was grown (di mensions: 4.7×3.0×1.2 mm3) and characterized and will be referred to throughout this work as ‘I33sc2’. For the nonsuperconducting single crystal oriented along the bcrystallographic axis, we found the maximum value of the energy gap to be 2 meV±0.1 meV at 9.16 K, which is different from the accepted literature value of ∼1 meV at 56 K [1,2]. Furthermore, heavier alkali metals (Na, K and Rb) were used in the temperature gradient flux technique. Small lilac brown single crystals were found in all three growths. In particular, the rubidium growth yielded polyhedral (denoted as ‘POLY’, having approximate dimensions: 0.5 × 0.3 × 0.3 mm3) and small bar shaped (denoted as ‘SBAR’, having approximate dimensions: 1×0.1×0.1 mm3) lilac brown single crystals which exhibited anomalous properties in the re sistivity and specific heat. The anomalous properties include a M/I transition at 250 K and a small phase transition in the resistivity at 94 K. These lilac brown single crystals were studied with powder Xray diffraction (XRD) and match very closely with molybdenum dioxide MoO2, however with slightly larger ‘a’ and ‘b’ lattice parameters. These lilac brown crystals are being further characterized with single crystal XRD. Polycrystalline rubidium molybdenum dioxide Rb0.03MoO2−δ was then grown to further understand what rubidium doping (if any) these lilac brown single crystals have. The resistivity of polycrystalline Rb0.03MoO2−δ has a M/I transition at 250 K, similar to the lilac brown single crystals, but lacks a phase transition at 94 K. Unlike the lilac brown single crystals, the slope of the M/I transition at 250 K is strongly affected by thermal cycling. Furthermore, poly crystalline Rb0.03MoO2−δ shows signs of a small superconducting volume fraction. This material is under further investigation.

Infrared Spectroscopy of (Nb+In) CoDoped RutileThis work studied rutile TiO2 in pure form and codoped with In (e acceptor) and Nb (e donor) at 5% and 10% to explore the effect of codoping on the infrared active (IR) modes and the complex dielectric response function between 50 and 8000 cm1 (1.5  240 THz, 0.00620  0.993 eV). Ceramic pellets of pure, 5% and 10% codoped TiO2 were prepared using a standard technique. Infrared reflectance (IR) measurements were taken and these data are supplemented with data from the literature to extend the range of frequencies beyond infrared. The dielectric function was determined two ways: (i) by fits of the reflectance to the factorized model of the dielectric function and (ii) by Kramers Kronig analysis. Codoping rutile appears to decrease the permittivity at frequencies just below the mode that softens. It is possible that this is due to an increase in porosity resulting from codoping. It appears that the increase in permittivity recently observed elsewhere [1] is not caused by doping induced changes to the phonon modes. The overall effect of codoping is to make the sample less reflective. The spectrum is composed of three wide, highreflectance bands. For all levels of codoping the first band is a mode that softens. The amount of doping does not affect the frequency of the mode that softens. The second and third bands are hard modes. Codoping appears to introduce four new, impurity, phonon modes that increase in oscillator strength with increasing codoping level. These modes are centered near w 136, 447, 654 and 793 cm1 which are close to four, previously observed, Raman active modes in rutile. It is possible that the codoping process causes the Raman modes to develop a dipole moment and become weakly IR active.

Optimizing Computational Frameworks to Study the Influence of the Protein Environment on the Individual Site Energies of Chromophores in Photosystem II of PhotosynthesisPhotosynthesis is a process in which electromagnetic radiation is converted into chemical energy. Photosystems capture photons with chromophores and transfer their energy to reaction centers using chromophores as a medium. In the reaction center, the excitation energy is used to perform chemical reactions. Knowledge of chromophore site energies is crucial to the understanding of excitation energy transfer pathways in photosystems and the ability to compute the site energies in a fast and accurate manner is mandatory for investigating how protein dynamics effect the site energies and ultimately energy pathways with time. In this work we developed two software frameworks designed to optimize the calculations of chromophore site energies within a protein environment. The first is for performing quantum mechanical energy optimizations on molecules and the second is for computing site energies of chromophores in a fast and accurate manner using the polarizability embedding method. The two frameworks allow for the fast and accurate calculation of chromophore site energies within proteins, ultimately allowing for the effect of protein dynamics on energy pathways to be studied. We use these frameworks to compute the site energies of the eight chromophores in the reaction center of photosystem II (PSII) using a 1.9 Å resolution xray structure of photosystem II. We compare our results to conflicting experimental data obtained from both isolated intact PSII core preparations and the minimal reaction center preparation of PSII, and find our work more supportive of the former.

Transient and Pulsed Electron Paramagnetic Resonance Spectroscopy on Type I Photosynthetic Reaction CentersTwo timeresolved EPR techniques, have been used to study the light induced electron transfer(ET) in Type I photosynthetic reaction centers(RCs). First, pulsed EPR was used to compare PsaAM688H and PsaBM668H mutants of Chlamydomonas reinhardtii and Synechosystis sp. PCC 6803.The outofphase echo modulation curves combined with other EPR and optical data show that the effect of the mutations is species dependent. Second, transient and pulsed EPR data are presented which show that PsaAA660N and PsaBA640N mutations in C. reinhardtii alter the relative quantum yield of ET in the A and Bbranches of PS I. Third, transient EPR studies on RCs from Heliobacillus mobilis that have been exposed to oxygen show partial inhibition of ET. In the RCs in which ET still occurs, the ET kinetics and EPR spectra show evidence of oxidation of some but not all of the, BChl g and BChl g' to Chl a.

Phonon spectra and temperature variation of thermodynamic properties of fcc metals via FinnisSinclair type many body potentials: SuttonChen and improved SuttonChen modelsVolume(density)independent pairpotentials cannot describe metallic cohesion adequately as the presence of the free electron gas renders the total energy strongly dependent on the electron density. The embedded atom method (EAM) addresses this issue by replacing part of the total energy with an explicitly densitydependent term called the embedding function. Finnis and Sinclair proposed a model where the embedding function is taken to be proportional to the square root of the electron density. Models of this type are known as FinnisSinclair many body potentials. In this work we study a particular parametrization of the FinnisSinclair type potential, called the "SuttonChen" model, and a later version, called the "Quantum SuttonChen" model, to study the phonon spectra and the temperature variation thermodynamic properties of fcc metals. Both models give poor results for thermal expansion, which can be traced to rapid softening of transverse phonon frequencies with increasing lattice parameter. We identify the power law decay of the electron density with distance assumed by the model as the main cause of this behaviour and show that an exponentially decaying form of charge density improves the results significantly. Results for SuttonChen and our improved version of SuttonChen models are compared for four fcc metals: Cu, Ag, Au and Pt. The calculated properties are the phonon spectra, thermal expansion coefficient, isobaric heat capacity, adiabatic and isothermal bulk moduli, atomic rootmeansquare displacement and Gr\"{u}neisen parameter. For the sake of comparison we have also considered two other models where the distancedependence of the charge density is an exponential multiplied by polynomials. None of these models exhibits the instability against thermal expansion (premature melting) as shown by the SuttonChen model. We also present results obtained via pure pair potential models, in order to identify advantages and disadvantages of methods used to obtain the parameters of these potentials.

Design of Resistivity Instrumentation for a He3 Cryostat and its Application to the Charge Density Wave Superconductor CuxTiSe2Fermi patches in quasitwo dimensional charge density waves (CDW) have not described the connection to superconductivity (SC) according to theory adequately at this point in time. The connection between CDW and SC in the quasitwo dimensional material CuxTiSe2 is an interesting one which might reveal mechanisms in unconventional superconductors. A previous Brock graduate student grew crystals of CuxTiSe2. The precise doping of the samples was not known. In order to determine the doping parameter x in CuxTiSe2, a sensitive resistivity measurement system was necessary. A new resistivity measurement system was designed and implemented utilizing an Infrared Labs HDL10 He3 cryostat. By comparing with data from the literature, doping of two samples was investigated using the new measurement system and a Quantum Design Magnetic Property Measurement System (MPMS). Methods for determining the doping revealed that the old resistivity system would not be able to determine the CDW transition temperature of highly doped samples or doping for elongated samples due to electronic noise. Doping in one sample was found to be between x=0.06 and x=0.065. Values of doping in the second sample had a discrepancy but could be explained by incorrect sample orientation.