Análisis y diseño de un patrón de ruido térmico de 10 MHz a 26,5 GHz en tecnología coaxial

Esta Tesis Doctoral presenta las investigaciones y los trabajos desarrollados durante los años 2008 a 2012 para el análisis y diseño de un patrón primario de ruido térmico de banda ancha en tecnología coaxial. Para ubicar esta Tesis en su campo científico es necesario tomar conciencia de que la realización de mediciones fiables y trazables forma parte del sostenimiento del bienestar de una sociedad moderna y juega un papel crítico en apoyo de la competitividad económica, la fabricación y el comercio, así como de la calidad de vida. En el mundo moderno actual, una infraestructura de medición bien desarrollada genera confianza en muchas facetas de nuestra vida diaria, porque nos permite el desarrollo y fabricación de productos fiables, innovadores y de alta calidad; porque sustenta la competitividad de las industrias y su producción sostenible; además de contribuir a la eliminación de barreras técnicas y de dar soporte a un comercio justo, garantizar la seguridad y eficacia de la asistencia sanitaria, y por supuesto, dar respuesta a los grandes retos de la sociedad moderna en temas tan complicados como la energía y el medio ambiente. Con todo esto en mente se ha desarrollado un patrón primario de ruido térmico con el fin de aportar al sistema metrológico español un nuevo patrón primario de referencia capaz de ser usado para desarrollar mediciones fiables y trazables en el campo de la medida y calibración de dispositivos de ruido electromagnético de radiofrecuencia y microondas. Este patrón se ha planteado para que cumpla en el rango de 10 MHz a 26,5 GHz con las siguientes especificaciones: Salida nominal de temperatura de ruido aproximada de ~ 83 K. Incertidumbre de temperatura de ruido menor que ± 1 K en todo su rango de frecuencias. Coeficiente de reflexión en todo su ancho de banda de 0,01 a 26,5 GHz lo más bajo posible. Se ha divido esta Tesis Doctoral en tres partes claramente diferenciadas. La primera de ellas, que comprende los capítulos 1, 2, 3, 4 y 5, presenta todo el proceso de simulaciones y ajustes de los parámetros principales del dispositivo con el fin de dejar definidos los que resultan críticos en su construcción. A continuación viene una segunda parte compuesta por el capítulo 6 en donde se desarrollan los cálculos necesarios para obtener la temperatura de ruido a la salida del dispositivo. La tercera y última parte, capítulo 7, se dedica a la estimación de la incertidumbre de la temperatura de ruido del nuevo patrón primario de ruido obtenida en el capítulo anterior. Más concretamente tenemos que en el capítulo 1 se hace una exhaustiva introducción del entorno científico en donde se desarrolla este trabajo de investigación. Además se detallan los objetivos que se persiguen y se presenta la metodología utilizada para conseguirlos. El capítulo 2 describe la caracterización y selección del material dieléctrico para el anillo del interior de la línea de transmisión del patrón que ponga en contacto térmico los dos conductores del coaxial para igualar las temperaturas entre ambos y mantener la impedancia característica de todo el patrón primario de ruido. Además se estudian las propiedades dieléctricas del nitrógeno líquido para evaluar su influencia en la impedancia final de la línea de transmisión. En el capítulo 3 se analiza el comportamiento de dos cargas y una línea de aire comerciales trabajando en condiciones criogénicas. Se pretende con este estudio obtener la variación que se produce en el coeficiente de reflexión al pasar de temperatura ambiente a criogénica y comprobar si estos dispositivos resultan dañados por trabajar a temperaturas criogénicas; además se estudia si se modifica su comportamiento tras sucesivos ciclos de enfriamiento – calentamiento, obteniendo una cota de la variación para poder así seleccionar la carga que proporcione un menor coeficiente de reflexión y una menor variabilidad. En el capítulo 4 se parte del análisis de la estructura del anillo de material dieléctrico utilizada en la nota técnica NBS 1074 del NIST con el fin de obtener sus parámetros de dispersión que nos servirán para calcular el efecto que produce sobre el coeficiente de reflexión de la estructura coaxial completa. Además se realiza un estudio posterior con el fin de mejorar el diseño de la nota técnica NBS 1074 del NIST, donde se analiza el anillo de material dieléctrico, para posteriormente realizar modificaciones en la geometría de la zona donde se encuentra éste con el fin de reducir la reflexión que produce. Concretamente se estudia el ajuste del radio del conductor interior en la zona del anillo para que presente la misma impedancia característica que la línea. Y para finalizar se obtiene analíticamente la relación entre el radio del conductor interior y el radio de la transición de anillo térmico para garantizar en todo punto de esa transición la misma impedancia característica, manteniendo además criterios de robustez del dispositivo y de fabricación realistas. En el capítulo 5 se analiza el comportamiento térmico del patrón de ruido y su influencia en la conductividad de los materiales metálicos. Se plantean las posibilidades de que el nitrógeno líquido sea exterior a la línea o que éste penetre en su interior. En ambos casos, dada la simetría rotacional del problema, se ha simulado térmicamente una sección de la línea coaxial, es decir, se ha resuelto un problema bidimensional, aunque los resultados son aplicables a la estructura real tridimensional. Para la simulación térmica se ha empleado la herramienta PDE Toolbox de Matlab®. En el capítulo 6 se calcula la temperatura de ruido a la salida del dispositivo. Se parte del estudio de la aportación a la temperatura de ruido final de cada sección que compone el patrón. Además se estudia la influencia de las variaciones de determinados parámetros de los elementos que conforman el patrón de ruido sobre las características fundamentales de éste, esto es, el coeficiente de reflexión a lo largo de todo el dispositivo. Una vez descrito el patrón de ruido electromagnético se procede, en el capítulo 7, a describir los pasos seguidos para estimar la incertidumbre de la temperatura de ruido electromagnético a su salida. Para ello se utilizan dos métodos, el clásico de la guía para la estimación de la incertidumbre [GUM95] y el método de simulación de Monte Carlo. En el capítulo 8 se describen las conclusiones y lo logros conseguidos. Durante el desarrollo de esta Tesis Doctoral se ha obtenido un dispositivo novedoso susceptible de ser patentado, que ha sido registrado en la Oficina Española de Patentes y Marcas (O.E.P.M.) en Madrid, de conformidad con lo establecido en el artículo 20 de la Ley 11/1986, de 20 de Marzo, de Patentes, con el título Patrón Primario de Ruido Térmico de Banda Ancha (Referencia P-101061) con fecha 7 de febrero de 2011. ABSTRACT This Ph. D. work describes a number of investigations that were performed along the years 2008 to 2011, as a preparation for the study and design of a coaxial cryogenic reference noise standard. Reliable and traceable measurement underpins the welfare of a modern society and plays a critical role in supporting economic competitiveness, manufacturing and trade as well as quality of life. In our modern world, a well developed measurement infrastructure gives confidence in many aspects of our daily life, for example by enabling the development and manufacturing of reliable, high quality and innovative products; by supporting industry to be competitive and sustainable in its production; by removing technical barriers to trade and supporting fair trade; by ensuring safety and effectiveness of healthcare; by giving response to the major challenges in key sectors such energy and environment, etc. With all this in mind we have developed a primary standard thermal noise with the aim of providing the Spanish metrology system with a new primary standard for noise reference. This standard will allow development of reliable and traceable measurements in the field of calibration and measurement of electromagnetic noise RF and microwave devices. This standard has been designed to work in the frequency range from 10 MHz to 26.5 GHz, meeting the following specifications: 1. Noise temperature output is to be nominally ~ 83 K. 2. Noise temperature uncertainty less than ± 1 K in the frequency range from 0.01 to 26.5 GHz. 3. Broadband performance requires as low a reflection coefficient as possible from 0.01 to 26.5 GHz. The present Ph. D. work is divided into three clearly differentiated parts. The first one, which comprises Chapters 1 to 5, presents the whole process of simulation and adjustment of the main parameters of the device in order to define those of them which are critical for the manufacturing of the device. Next, the second part consists of Chapter 6 where the necessary computations to obtain the output noise temperature of the device are carried out. The third and last part, Chapter 7, is devoted to the estimation of the uncertainty related to the noise temperature of the noise primary standard as obtained in the preceding chapter. More specifically, Chapter 1 provides a thorough introduction to the scientific and technological environment where this research takes place. It also details the objectives to be achieved and presents the methodology used to achieve them. Chapter 2 describes the characterization and selection of the bead dielectric material inside the transmission line, intended to connect the two coaxial conductors equalizing the temperature between the two of them and thus keeping the characteristic impedance constant for the whole standard. In addition the dielectric properties of liquid nitrogen are analyzed in order to assess their influence on the impedance of the transmission line. Chapter 3 analyzes the behavior of two different loads and of a commercial airline when subjected to cryogenic working conditions. This study is intended to obtain the variation in the reflection coefficient when the temperature changes from room to cryogenic temperature, and to check whether these devices can be damaged as a result of working at cryogenic temperatures. Also we try to see whether the load changes its behavior after successive cycles of cooling / heating, in order to obtain a bound for the allowed variation of the reflection coefficient of the load. Chapter 4 analyzes the ring structure of the dielectric material used in the NBS technical note 1074 of NIST, in order to obtain its scattering parameters that will be used for computation of its effect upon the reflection coefficient of the whole coaxial structure. Subsequently, we perform a further investigation with the aim of improving the design of NBS technical note 1074 of NIST, and modifications are introduced in the geometry of the transition area in order to reduce the reflection it produces. We first analyze the ring, specifically the influence of the radius of inner conductor of the bead, and then make changes in its geometry so that it presents the same characteristic impedance as that of the line. Finally we analytically obtain the relationship between the inner conductor radius and the radius of the transition from ring, in order to ensure the heat flow through the transition thus keeping the same reflection coefficient, and at the same time meeting the robustness requirements and the feasibility of manufacturing. Chapter 5 analyzes the thermal behavior of the noise standard and its influence on the conductivity of metallic materials. Both possibilities are raised that the liquid nitrogen is kept outside the line or that it penetrates inside. In both cases, given the rotational symmetry of the structure, we have simulated a section of coaxial line, i.e. the equivalent two-dimensional problem has been resolved, although the results are applicable to the actual three-dimensional structure. For thermal simulation Matlab™ PDE Toolbox has been used. In Chapter 6 we compute the output noise temperature of the device. The starting point is the analysis of the contribution to the overall noise temperature of each section making up the standard. Moreover the influence of the variations in the parameters of all elements of the standard is analyzed, specifically the variation of the reflection coefficient along the entire device. Once the electromagnetic noise standard has been described and analyzed, in Chapter 7 we describe the steps followed to estimate the uncertainty of the output electromagnetic noise temperature. This is done using two methods, the classic analytical approach following the Guide to the Estimation of Uncertainty [GUM95] and numerical simulations made with the Monte Carlo method. Chapter 8 discusses the conclusions and achievements. During the development of this thesis, a novel device was obtained which was potentially patentable, and which was finally registered through the Spanish Patent and Trademark Office (SPTO) in Madrid, in accordance with the provisions of Article 20 of Law 11/1986 about Patents, dated March 20th, 1986. It was registered under the denomination Broadband Thermal Noise Primary Standard (Reference P-101061) dated February 7th, 2011.

GroEL-GroES-mediated protein folding requires an intact central cavity

The chaperonin GroEL is an oligomeric double ring structure that, together with the cochaperonin GroES, assists protein folding. Biochemical analyses indicate that folding occurs in a cis ternary complex in which substrate is sequestered within the GroEL central cavity underneath GroES. Recently, however, studies of GroEL “minichaperones” containing only the apical substrate binding subdomain have questioned the functional importance of substrate encapsulation within GroEL-GroES complexes. Minichaperones were reported to assist folding despite the fact that they are monomeric and therefore cannot form a central cavity. Here we compare directly the folding activity of minichaperones with that of the full GroEL-GroES system. In agreement with earlier studies, minichaperones assist folding of some proteins. However, this effect is observed only under conditions where substantial spontaneous folding is also observed and is indistinguishable from that resulting from addition of the nonchaperone protein α-casein. By contrast, the full GroE system efficiently promotes folding of several substrates under conditions where essentially no spontaneous folding is observed. These data argue that the full GroEL folding activity requires the intact GroEL-GroES complex, and in light of previous studies, underscore the importance of substrate encapsulation for providing a folding environment distinct from the bulk solution.

The Sm domain is an ancient RNA-binding motif with oligo(U) specificity

Sm and Sm-like proteins are members of a family of small proteins that is widespread throughout eukaryotic kingdoms. These proteins form heteromers with one another and bind, as heteromeric complexes, to various RNAs, recognizing primarily short U-rich stretches. Interestingly, completion of several genome projects revealed that archaea also contain genes that may encode Sm-like proteins. Herein, we studied the properties of one Sm-like protein derived from the archaebacterium Archaeoglobus fulgidus and overexpressed in Escherichia coli. This single small protein closely reflects the properties of an Sm or Sm-like protein heteromer. It binds to RNA with a high specificity for oligo(U), and assembles onto the RNA to form a complex that exhibits, as judged by electron microscopy, a ring-like structure similar to the ones observed with the Sm core ribonucleoprotein and the like Sm (LSm) protein heteromer. Importantly, multivariate statistical analysis of negative-stain electron-microscopic images revealed a sevenfold symmetry for the observed ring structure, indicating that the proteins form a homoheptamer. These results support the structural model of the Sm proteins derived from crystallographic studies on Sm heterodimers and demonstrate that the Sm protein family evolved from a single ancestor that was present before the eukaryotic and archaeal kingdoms separated.

Antigenic peptides containing large PEG loops designed to extend out of the HLA-A2 binding site form stable complexes with class I major histocompatibility complex molecules.

Recognition of peptides bound to class I major histocompatibility complex (MHC) molecules by specific receptors on T cells regulates the development and activity of the cellular immune system. We have designed and synthesized de novo cyclic peptides that incorporate PEG in the ring structure for binding to class I MHC molecules. The large PEG loops are positioned to extend out of the peptide binding site, thus creating steric effects aimed at preventing the recognition of class I MHC complexes by T-cell receptors. Peptides were synthesized and cyclized on polymer support using high molecular weight symmetrical PEG dicarboxylic acids to link the side chains of lysine residues substituted at positions 4 and 8 in the sequence of the HLA-A2-restricted human T-lymphotrophic virus type I Tax peptide. Cyclic peptides promoted the in vitro folding and assembly of HLA-A2 complexes. Thermal denaturation studies using circular dichroism spectroscopy showed that these complexes are as stable as complexes formed with antigenic peptides.

Adenosine triphosphate acts as both a competitive antagonist and a positive allosteric modulator at recombinant N-methyl-D-aspartate receptors

ATP and glutamate are fast excitatory neurotransmitters in the central nervous system acting primarily on ionotropic P2X and glutamate [N-methyl-D-aspartate (NMDA) and non-NMDA] receptors, respectively. Both neurotransmitters regulate synaptic plasticity and long-term potentiation in hippocampal neurons. NMDA receptors are responsible primarily for the modulatory action of glutamate, but the mechanism underlying the modulatory effect of ATP remains uncertain. In the present study, the effect of ATP on recombinant NR1a + 2A, NR1a + 2B, and NR1a + 2C NMDA receptors expressed in Xenopus laevis oocytes was investigated. ATP inhibited NR1a + 2A and NR1a + 2B receptor currents evoked by low concentrations of glutamate but potentiated currents evoked by saturating glutamate concentrations. In contrast, ATP potentiated NR1a + 2C receptor currents evoked by nonsaturating glutamate concentrations. ATP shifted the glutamate concentration-response curve to the right, indicating a competitive interaction at the agonist binding site. ATP inhibition and potentiation of glutamate-evoked currents was voltage-independent, indicating that ATP acts outside the membrane electric field. Other nucleotides, including ADP, GTP, CTP, and UTP, inhibited glutamate-evoked currents with different potencies, revealing that the inhibition is dependent on both the phosphate chain and nucleotide ring structure. At high concentrations, glutamate outcompetes ATP at the agonist binding site, revealing a potentiation of the current. This effect must be caused by ATP binding at a separate site, where it acts as a positive allosteric modulator of channel gating. A simple model of the NMDA receptor, with ATP acting both as a competitive antagonist at the glutamate binding site and as a positive allosteric modulator at a separate site, reproduced the main features of the data.

Novel natriuretic peptides from the venom of the inland taipan (Oxyuranus microlepidotus): isolation, chemical and biological characterisation

Three natriuretic-like peptides (TNP-a, TNP-b, and TNP-c) were isolated from the venom of Oxyuranus microlepidotus (inland taipan) and were also present in the venoms of Oxyuranus scutellatus canni (New Guinea taipan) and Oxyuranus scutellatus scutellatus (coastal taipan). They were isolated by HPLC, characterised by mass spectrometry and Edman analysis, and consist of 35-39 amino acid residues. These molecules differ from ANP/BNP through replacement of invariant residues within the 17-membered ring structure and by inclusion of proline residues in the C-terminal tail. TNP-c was equipotent to ANP in specific GC-A assays or aortic ring assays whereas TNP-a and TNP-b were either inactive (GC-A over-expressing cells and endothelium-denuded aortic rings) or weakly active (endothelium-in tact aortic rings). TNP-a and TNP-b were also unable to competitively inhibit the binding of TNP-c in endothelium-denuded aortae (GC-A) or endothelium-in tact aortae (NPR-C). Thus, these naturally occurring isoforms provide a new platform for further investigation of structure-function relationships of natriuretic peptides. (C) 2004 Elsevier Inc. All rights reserved.

Studies on the outer membrane of Pseudomonas aeruginosa and associated resistance properties

The aim of this thesis was to investigate antibacterial agents for use in disinfectant formulation in conjunction with benzalkonium chloride (BKC), and if possible, to synthesise novel agents based upon successful structures. Development of resistance to antibacterial agents following long-term exposure of P. aeruginosa to BKC was also investigated, examining cross-resistance to clinically relevant antibiotics and determining mechanisms of resistance. In this study over 50 compounds were examined for antibacterial action against P. aeruginosa, both alone and in conjunction with BKC. Successful compounds were used to design novel agents, based upon the acridine ring structure, some of which showed synergy with BKC. In 15 of the 16 strains exposed to increasing concentrations of BKC, resistance to the disinfectant arose. Strains PAO1 and OO14 were examined further, each showing stable BKC resistance and a slightly varying profile of cross-resistance. In strain PAO1 alterations in the fatty acids of the cytoplasmic membrane, increase in expression of OprG, decrease in susceptibility to EDTA as an outer membrane permeabilising agent and an increase in negativity of the cell surface charge were observed as cells became more resistant to BKC. In strain OO14 a decrease in whole cell phosphatidylcholine content, a decrease in binding/uptake of BKC and an increase in cell surface hydrophobicity were observed as cells became more resistant to BKC. Resistance to tobramycin in strain OO14 was initially high, but fell as cells were adapted to BKC, this coincided with a quantitative reduction of plasmid DNA in the cells.

Algebraic Computations with Hausdorff Continuous Functions

The paper has been presented at the 12th International Conference on Applications of Computer Algebra, Varna, Bulgaria, June, 2006.

Reconstruction of graded groupoids from graded Steinberg algebras

We show how to reconstruct a graded ample Hausdorff groupoid with topologically principal neutrally-graded component from the ring structure of its graded Steinberg algebra over any commutative integral domain with 1, together with the embedding of the canonical abelian subring of functions supported on the unit space. We deduce that diagonal-preserving ring isomorphism of Leavitt path algebras implies $C^*$-isomorphism of $C^*$-algebras for graphs $E$ and $F$ in which every cycle has an exit. This is a joint work with Joan Bosa, Roozbeh Hazrat and Aidan Sims.

Phenyl-ring disorder in the two-dimensional hydrogen-bonded structure of the 1:1 proton-transfer salt of the diazo-dye precursor 4-(phenyldiazenyl)aniline (aniline yellow) with L-tartaric acid

The structure of the 1:1 proton-transfer compound from the reaction of L-tartaric acid with the azo-dye precursor aniline yellow [4-(phenylazo)aniline], 4-(phenyldiazenyl)anilinium hydrogen 2R,3R-tartrate C12H12N3+ . C4H6O6- has been determined at 200 K. The asymmetric unit of the compound contains two independent phenylazoanilinium cations and two hydrogen L-tartrate anions. The structure is unusual in that all four phenyl rings of both cations have identical 50% rotational disorder. The two hydrogen L-tartrate anions form independent but similar chains through head-to-tail carboxylic O--H...O~carboxyl~ hydrogen bonds [graph set C7] which are then extended into a two-dimensional hydrogen-bonded sheet structure through hydroxyl O--H...O hydrogen-bonding links. The anilinium groups of the phenyldiazenyl cations are incorporated into the sheets and also provide internal hydrogen-bonding extensions while their aromatic tails layer in the structure without significant interaction except for weak \p--\p interactions [minimum ring centroid separation, 3.844(3) \%A]. The hydrogen L-tartrate residues of both anions have the common short intramolecular hydroxyl O--H...O~carboxyl~ hydogen bonds. This work has provided a solution to the unusual disorder problem inherent in the structure of this salt as well as giving another example of the utility of the hydrogen tartrate in the generation of sheet substructures in molecular assembly processes.

Enantiospecific approach to the tricyclic core structure of tricycloillicinone, ialibinones, and takaneones via ring-closing metathesis reaction

Enantiospecific synthesis of the tricyclic core structure present in the biologically active natural products tricycloillicinone, ialibinones, and takaneones, starting from the readily available campholenaldehyde employing a transannular RCM reaction as the key step, has been accomplished.

Structure and thermal stability relationships in ring-substituted arylammonium nitrates

The thermal stability of ring-substituted arylammonium nitrates has been investigated using thermal methods of analysis. The decomposition temperature of meta- and para-substituted derivatives is found to be linearly related to the Hammett substituent constant σ. The activation energy for decomposition determined by isothermal gravimetry increases with the increasing basicity of the corresponding amine. The results suggest that the primary step in the decomposition process of these salts is proton abstraction by the anion from the arylammonium ion.

Structure and explosive sensitivity relation in ring-substituted arylammonium perchlorates

The thermal and explosive characteristics of ring-substituted arylammonium perchlorates have been studied by differential thermal analysis, explosion delay, and impact-sensitivity measurements. The decomposition and dissociation temperatures, as well as activiation energy for explosion, increase with increasing basicity of the corresponding arylamine. These parameters, when plotted against σ, the Hammett substituent constant, show a linear relationship in the case of meta- and para-substituted derivatives. The results indicate that a proton transfer from arylammonium ion to perchlorate ion is involved in the decompostion and also in the explosion process of these arylammonium perchlorates.

Phenyl-Ring-Bearing Cationic Surfactants: Effect of Ring Location on the Micellar Structure

A series of isomeric cationic surfactants (S1-S5) bearing a long alkyl chain that carries a 1,4-phenylene unit and a trimethyl ammonium headgroup was synthesized; the location of the phenyl ring within the alkyl tail was varied in an effort to understand its influence on the amphiphilic properties of the surfactants. The cmc's of the surfactants were estimated using ionic conductivity measurements and isothermal calorimetric titrations (ITC); the values obtained by the two methods were found to be in excellent agreement. The ITC measurements provided additional insight into the various thermodynamic parameters associated with the micellization process. Although all five surfactants have exactly the same molecular formula, their micellar properties were seen to vary dramatically depending on the location of the phenyl ring; the cmc was seen to decrease by almost an order of magnitude when the phenyl ring was moved from the tail end (cmc of S1 is 23 mM) to the headgroup region (cmc of S5 is 3 mM). In all cases, the enthalpy of micellization was negative but the entropy of micellization was positive, suggesting that in all of these systems the formation of micelles is both enthalpically and entropically favored. As expected, the decrease in cmc values upon moving the phenyl ring from the tail end to he headgroup region is accompanied by an increase in the thermodynamic driving force (Delta G) for micellization. To understand further the differences in the micellar structure of these surfactants, small-angle neutron scattering (SANS) measurements were carried out; these measurements reveal that the aggregation number of the micelles increases as the cmc decreases. This increase in the aggregation number is also accompanied by an increase in the asphericity of the micellar aggregate and a decrease in the fractional charge. Geometric packing arguments are presented to account for these changes in aggregation behavior as a function of phenyl ring location.

Synthesis, structure and ring-opening polymerization of phenolphthalein macrocyclic polyarylates

Phenolphthalein based polyarylate macrocyclic oligomers were selectively synthesized by an interfacial polycondensation reaction of o-phthaloyl dichloride with phenolphthalein. The high selectivity benefits from the role of phenolphthalein as a color indicator, an efficient phase transfer catalyst, acid a preferred conformation of the starting materials as indicated by analyzing a single-crystal X-ray structure of an analogous macrocycle. The melt ROP of phenolphthalein polyarylate cyclic dimer was studied using nucleophilic initiators, The molecular weight of the resulting polymers builds up very rapidly at the very early stage of polymerization but decreases with time. During the ROP of cyclic dimer, analogous macrocycles with higher degree of polymerization (n greater than or equal to 3) and linear oligomers were produced by backbiting reaction especially at later stage of polymerization. Conversion of cyclic dimer is very fast at the earlier stage of polymerization and then increases slowly with time as analyzed by gel permeation chromatography. However, the total amount of cyclic oligomers in the ROP system increases with time at the later stage of polymerization because of the formation of larger macrocycles. The resulting polymers are amorphous. Glass transition temperatures (T(g)s) of these polymers are influenced by the polymerization time, type of initiator, and initiator concentration.