Polypeptides are polymerized chains of amino acids linked covalently through peptide bonds. Polyelectrolyte polypeptides are polypeptides with electrolyte repeating groups. Several amino acids contain ionizable side chains which result in charge distributions when dissolved in aqueous solutions. This dissertation is motivated by a desire to gain knowledge of polyelectrolyte polypeptides as recent advances in chemical synthesis of polypeptides have made possible the fabrication of designed polypeptides that do not naturally occur in nature. Potential applications of newly designed polypeptides span the range from medical to clothing and energy even to robotics. In this dissertation we compare the characteristic behavior of two polypeptide polyanions: Poly-(L-Glutamic Acid) [PLE] and Poly-(L-Glutamic Acid4, Tyrosine1) [PLEY(4:1)]. Comparative characteristic behaviors of each is conducted through relaxation phenomena in the context of mechanical elasticity measurements of hydrogels and dielectric relaxation of aqueous solutions in a radio frequency range of 1 MHz to 1000 MHz. Hydrogels are fabricated by crosslinking each polyanion with Poly-(L-Lysine) [PLK], a polycation, via the crosslinker 1-ethyl-3-(3-dimethylaminopropyl) carbodiimide hydrochloride (EDC). Elasticity and viscoelasticity measurements are conducted in a fixture designed by our lab. Dielectric relaxation behavior is studied on aqueous solution of both PLEY and PLE using a capacitive fixture, also designed in our lab. RF signals provided by an impedance analyzer are converted to permittivity and dielectric loss measurements. Peaks in dielectric loss provide evidence of relaxation mechanisms. A comparison of experimental results to theoretical expectations reveal both expected and some surprising behavior. Relaxation times for crosslinked hydro-gels scale according to theoretical expectations according to so-called reptation dynamics. However, relaxation times of aqueous solutions did not scale as entangled polyelectrolytes. First, both PLEY and PLE scaled as neutral polymers rather than polyelectrolytes. This was expected because of the high concentrations studied. However, due to the high concentrations, it was expected that polypeptides were entangled in solutions. Data compared to theory did not support this expectation. We, additionally, conducted a self-crosslinking experiment of a polyampholyte: RADA16. RADA16 is known to self-assemble into nano-fibers formed by -sheet stacking. The self-crosslinking was also mediated by EDC. Results of crosslinking showed formation of polypeptide spherules as well as nano-crystals nominally orthorhombic in shape. It was not possible to ascertain composition of the nano-crystals due to both the limited amount of raw material available and the capabilities of measurement equipment as of this writing. It is hypothesized that nano-crystals are composed of some type of urea by-product from the crosslinking reaction. The spherules, on the other hand, seem to be described by the theory of hydrophobic polyelectrolytes. Additional research conducted with regards to electromagnetic hydrodynamic flows during the time frame of this dissertation is also included. The research uses hydrodynamic conservation equations as a starting point to derive one electromagnetic flow momentum equation analogous to the Cauchy momentum equation of hydrodynamics. It also introduces a mass- energy conservation equation for electromagnetic flow that has no hydrodynamic analogue. We begin this dissertation by introducing in Chapter 1 some of the theoretical background necessary to understand results from experiments. Chapter 2 introduces experimental results from elasticity and viscoelasticity measurements and Chapter 3 explains the dielectric relaxation experiment. We then follow with Chapter 4 which presents conclusions from mechanical and dielectric relaxation experiments in a concise format. Results from the self- crosslinking of RADA16 are presented in Chapter 5. Finally, the additional research on electromagnetic flow is presented in Chapter 6.

<p> The work in this thesis is to develop a tool for calculating the parameters corresponding to certain theoretical model of dielectric relaxation phenomena and then doing the curve fitting using the result after fetching the data from the user. To our best knowledge, this the first such tool to calculate the parameters corresponding to certain theoretical model of dielectric relaxation phenomena while the user only need to provide the experimental data. The parameters are calculated by using a nonlinear least square algorithm implemented in Matlab and a nonlinear function minimizer available in Matlab. The way to do the curve fitting is not by the traditional way such as cubic spline but by calculating the simulated data using the chosen model and the calculated result for the parameters. </p> <p> The available mathematical models include all of popular theoretical models, the Cole-Davidson (DC), the Kohlrausch-Williams-Watts (KWW), the Havriliak-Negami (HN) and the model proposed by R. Hilfer (FD). </p> <p> There are two ways to calculate the parameters for each model as mentioned before. The result returned by this system may not be unique. Especially if the frequency range of data is not wide enough, the result would most likely be non-unique. Since the iterative method is used in the system, it is suggested that the user provides the initial values for the system with his best knowledge or background for the data and the tested sample related to dielectric relaxation process. </p> <p> It is normal if there is a part having worse fitting than the other parts. One of reasons could be the mathematical model's defect, which the model does not work for that part. For the further information, please contact me by email at zouhaijun at yahoo.com. </p> / Thesis / Master of Science (MSc)

This work combines many characterization techniques in an effort to enhance understanding of molecular motions of polymers and. how they are influenced by' structure. The primary characterization method was dielectric spectroscopy which utilizes an AC electric field as the stress field. A variety of new, well controlled polymeric systems were studied. The first series included a number of radial starblock copolymers, styrene/isoprene, t-butyl- styrene/isoprene, and t-butyl-styrene/butadiene. These ABA copolymers consisted of hard and soft blocks, with the soft block comprising 75% by weight. The effect of microstructure of the soft block, casting solvent, hydrogenation, and chemical composition of the hard block were some of the variables studied. The amount of phase separation and the molecular motions occurring will be influenced by these parameters. Hydrogenation of the soft block increased the phase separation. Another system investigated included some stereospecific poly(alkyl methacrylates) which were synthesized anionically. In this series the alkyl group was systematically changed in order to study the effects of the bulkiness of the substituent and the tacticity on the a and ß transitions. The ß transition associated with side chain rotations was only observed in the case of the methyl and ethyl substituents. The Havriliak-Negami data analysis was used to evaluate the breadth and the skewness of the distribution of relaxation times. Finally, some high temperature thermoplastic polymers were evaluated with dielectric spectroscopy. The effect of the backbone composition, moisture, and fillers on the β transition was looked at. These studies showed that moisture and fillers play an important role on the magnitude and temperature of the observed β transition. / Ph. D.

The importance of Poly(3-hydroxybutyrate) (PHB) as a biodegradable material is well known. Due to ever increasing environmental awareness, significant efforts have been made to utilize PHB or its derivatives in producing disposable products. However, brittle mechanical properties of PHB hinder the direct application of this material in useful commodity items. In order to achieve toughened PHB, blending with other polymers which possess high relaxation behavior at room temperature seems attractive. Prior to such development, the fundamental characterization of the relaxation behavior of PHB itself is extremely important in order to assess the effect of any attempt to improve the situation in a quantitative manner. Dielectric thermal analysis was used in the study of the relaxation behavior of melt processed PHB. The approach was largely phenomenological, that was, based on the macroscopic theory of dielectric relaxation. The mean relaxation time of melt processed PHB was evaluated while PHB was undergoing crystallization at room temperature. The experimental conditions were kept as close as possible to actual shelf-life conditions. Dynamic temperature sweep experiments revealed multiple relaxation peaks at the glass transition region. Temperature plane curve resolution revealed, in the early stage of crystallization, two dynamically changing peaks whose behaviors, as the extent of crystallization progressed, were quite opposite in terms of the magnitude of the loss property. By analyzing the temperature dependence of loss property and mean relaxation time, it was concluded that the peak located at the lower temperature is related to pure amorphous chain movement, and the peak located at the higher temperature is related to the movement of amorphous chains which are confined in-between crystalline phases, such as lamellae and spherulites. For the evaluation of the mean relaxation time of binary blends or multiple relaxations arising from homopolymers and copolymers, an empirical model has been developed which is grounded in the theory of linear viscoelasticity with the aim of quantitatively assessing the effect of attempts to improve the toughness of PHB. In the course of data reduction and model development, the majority of empirical dielectric relaxation functions has been reviewed including the Havriliak-Negami model and the Kohlrausch-Williams-Watts stretched exponential function. It was found that the center of relaxation time in the Havriliak-Negami model was skewed toward short time scale of relaxation, while mean relaxation time reflected the relaxation behavior of PHB chains on average, including movement of chains which relax with difficulty as the extent of crystallization progresses. / Ph. D.

This study investigates relaxation polarization in some dielectric components of tester UNISPOT S40 developed by company UNITES Systems a.s. Relaxation polarization in the PCB substrates and in tester’s cable insulation causes undesirable deceleration of some test steps. Relaxation polarization in selected PCB substrates and various cables are examined by method of dielectric relaxation spectroscopy in the frequency domain and by measurement of polarization or depolarization current.

Encontrou-se que a relaxação dielétrica dos dipolos impureza-vacância em KI dopado com pequenas quantidades de KCl é extremamente diferente da relaxação dielétrica na matriz KI não contendo íons Cl-. Os novos picos de relaxação, atribuídos à presença do Cl- na vizinhança imediata do íon divalente, tem um tempo de relaxação 103 vezes menor que o normal na temperatura ambiente. Foi proposto um modelo para o aprisionamento dos íons divalentes pelo Cl- e estudado a influência dos raios atômicos do divalente e do anion estranho neste processo de aprisionamento. / The dielectric relaxation due to I-V dipoles in KI doped with small amounts of KCl was found to be strongly different than in KI crystals not containing Cl-ions. The new relaxation peak attributed to the presence of the Cl- in the close neighborhood of the divalent ion has a relax¬ation time 103 greater than the normal one. A model for the trapping of the divalent ions by the Cl- is proposed. The influence of atomic radius of the divalent and the impurity anion is discussed.

Neste trabalho estudamos defeitos pontuais em cristais de NaCl + NaF contendo diversos íons divalentes e em especial o íon Pb++. As técnicas usadas foram as de I.T.C. e absorção ótica. Identificamos três novos defeitos e novos agregados de Pb++. Um modelo microscópico para os defeitos observados foi proposto. Dois dos novos picos de I.T.C. são identificados como relaxação do mesmo defeito constituído do íon divalente e um íon F- em sua proximidade. Pela primeira vez observou-se a conversão da relaxação dielétrica de um íon divalente isolado para a de uma posição perturbada. Os íons F- funcionam como armadilhas eficientes para a difusão do íon Pb++. O efeito do raio iônico sobre a relaxação desses defeitos foi observado e discutido. Atribuiu-se tentativamente a um par de vacâncias ao pico de I.T.C. de mais baixa temperatura / This work report results on the study of point defects in NaCl + NaF single crystals doped with several divalent ions and with more details for Pb++ ions. I.T.C. and u.v. spectroscopy were the used techniques. Three new relaxation peaks were found as well as large aggregates of Pb++ and F- ions. A microscopic model for the observed defects is proposed. Two of the new I.T.C. peaks called B and C, are identified as dielectrics relaxation of one defect - its transverse and the longitudinal relaxation modes. This defect is made of one divalent ion one F anion as its close neighbor and one vacancy. For the first time it was observed the conversion of a Pb++ ion from a normal to a perturbed lattice site. The F anions are efficient traps for divalent ion diffusion. The effect of divalent ion radius on the dielectric relaxation of these perturbed defects was observed and discussed. The lower temperature peak is tentatively attributed to relaxation of a divacancy - a pair of positive and negative vacancy bound together

Este trabalho trata de estudos realizados sobre o comportamento das fronteiras dos domínios magnéticos em mono-cristais de (Mn - Zn) Fe2 03 como também das propriedades elásticas de defeitos puntuais em mono-cristais de NaCl: NaF: M++ . Foram aplicadas técnicas do oscilador composto de Marx com controlador automático de velocidade e atenuação ultrassônica, a técnica do pulso-eco ultrassônico e corrente termo-estimulada (I.T.C.) com pressão uniaxial. Para os cristais de NaCl: NaF: M++ , determinamos a simetria e os parâmetros de relaxação que provocam os picos de ITC chamados de B e C. Foi mostrado que o pico C é devido a relaxação de uma vacância entre as posições nn em torno do eixo que passa pelos íons F- M++ , enquanto o pico B é uma relaxação envolvendo uma transição da vacância entre as posições nn e nnn. Para as ferrites as fronteiras dos domínios magnéticos comportam-se elasticamente como dislocações, mostrando uma atenuação ultrassônica que á dependente da amplitude do campo elástico / This work is concerned with the behavior of magnetic domain walls of (Mn - Zn) Fe2O3 single crystals, as well as, with elastic properties of point defects in NaCl: NaF: M++ single crystals. The measurements were carried out using the following experimental techniques: pulse-echo, ITC under uniaxial stress and composite oscillator of the Marx type with automatic control of velocity. For the NaCl: NaF: M ++ crystals the symmetry of the defect that gives rise to ITC peaks B and C was determined, as well as its relaxation parameters. It was shown that peak C is due to vacancy relaxation between nn positions around the axis M++F- ions while peak B is a relaxation involving between the nn and nnn vacancy positions. For the ferrites the magnetic domain walls behave elastically as dislocations therefore having an ultrassonic attenuation that is amplitude dependent on the elastic field

Encontrou-se que a relaxação dielétrica dos dipolos impureza-vacância em KI dopado com pequenas quantidades de KCl é extremamente diferente da relaxação dielétrica na matriz KI não contendo íons Cl&#8254.Os novos picos de relaxação, atribuídos à presença do Cl&#8254 na vizinhança imediata do íon divalente, tem um tempo de relaxação 103 vezes menor que o normal na temperatura ambiente.Foi proposto um modelo para o aprisionamento dos íons divalentes pelo Cl&#8254 e estudado a influência dos raios atômicos do divalente e do anion estranho neste processo de aprisionamento. / The dielectric relaxation due to I-V dipoles in KI doped with small amounts of KCl was found to be strongly different than in KI crystals not containing Cl&#8254.The new relaxation peak attributed to the presence of the Cl&#8254 in the close neighborhood of the divalent ion has a relax¬ation time 103 greater than the normal one.A model for the trapping of the divalent ions by the Cl&#8254 is proposed. The influence of atomic radius of the divalent and the impurity anion is discussed.

This thesis deals with certain aspects of the solution chemistry of the simple dicarboxylate anions: oxalate, malonate and succinate, up to high concentrations. These ions are either significant impurities in the concentrated alkaline aluminate solutions used in the Bayer process for the purification of alumina, or are useful models for degraded organic matter in industrial Bayer liquors. Such impurities are known to have important effects on the operation of the Bayer process. To develop a better understanding of the speciation of oxalate (the major organic impurity in Bayer liquors) in concentrated electrolyte solutions, the formation constant (Log£]) of the extremely weak ion pair formed between sodium (Na+) and oxalate (Ox2ƒ{) ions was determined at 25 oC as a function if ionic strength in TMACl media by titration using a Na+ ion selective electrode. Attempts to measure this constant in CsCl media were unsuccessful probably because of competition for Ox2ƒ{ by Cs+. Aqueous solutions of sodium malonate (Na2Mal) and sodium succinate (Na2Suc) were studied up to high (saturation) concentrations at 25 oC by dielectric relaxation spectroscopy (DRS) over the approximate frequency range 0.1 „T £h/GHz „T 89. To complement a previous study of Na2Ox, formation constants of the Na+-dicarboxylate ion pairs were determined and they were shown to be of the solvent-shared type. Both the Mal2ƒ{ and Suc2ƒ{ ions, in contrast to Ox2ƒ{, were also shown to possess large secondary hydration shells Apparent molal volumes (Vf) and heat capacities at constant pressure (Cpf) of aqueous solutions of Na2Ox, Na2Suc, Na2Mal and K2Ox were determined at 25 oC up to their saturation limits using vibrating tube densitometry and flow calorimetry. These data were fitted using a Pitzer model. The adherence of Vf and Cpf of various Na+ and K+ salts to Young¡¦s rule was examined up to high concentrations using the present and literature data. Young¡¦s rule was then used to estimate hypothetical values of Cpf and Vf for the sparingly soluble Na2Ox at high ionic strengths, which are required for the thermodynamic modelling of Bayer liquors. The solubility of Na2Ox in various concentrated electrolytes was measured, at temperatures from 25 oC to 70 oC in media both with (NaCl, NaClO4, NaOH) and without a common ion (KCl, CsCl, TMACl). The common ion effect was found to dominate the solubility of Na2Ox. The solubility of calcium oxalate monohydrate (CaOx„ªH2O) was also determined. The solubilities of both Na2Ox and CaOx„ªH2O in media without a common ion increased with increasing electrolyte concentration, except in TMACl media, where they decreased. The solubility of Na2Ox was modelled using a Pitzer model assuming the Pitzer parameters for Na2SO4 and minimising the free energy of the system. The data were modelled successfully over the full concentration and temperature range of all the electrolytes, including ternary (mixed electrolyte) solutions.