Liquid Crystalline Biopolymers: a New Arena for Liquid Crystal Research
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Equations of State and Thermodynamics of Solids Using Empirical Corrections in the Quasiharmonic Approximation
PHYSICAL REVIEW B 84, 184103 (2011) Equations of state and thermodynamics of solids using empirical corrections in the quasiharmonic approximation A. Otero-de-la-Roza* and V´ıctor Luana˜ † Departamento de Qu´ımica F´ısica y Anal´ıtica, Facultad de Qu´ımica, Universidad de Oviedo, ES-33006 Oviedo, Spain (Received 24 May 2011; revised manuscript received 8 October 2011; published 11 November 2011) Current state-of-the-art thermodynamic calculations using approximate density functionals in the quasi- harmonic approximation (QHA) suffer from systematic errors in the prediction of the equation of state and thermodynamic properties of a solid. In this paper, we propose three simple and theoretically sound empirical corrections to the static energy that use one, or at most two, easily accessible experimental parameters: the room-temperature volume and bulk modulus. Coupled with an appropriate numerical fitting technique, we show that experimental results for three model systems (MgO, fcc Al, and diamond) can be reproduced to a very high accuracy in wide ranges of pressure and temperature. In the best available combination of functional and empirical correction, the predictive power of the DFT + QHA approach is restored. The calculation of the volume-dependent phonon density of states required by QHA can be too expensive, and we have explored simplified thermal models in several phases of Fe. The empirical correction works as expected, but the approximate nature of the simplified thermal model limits significantly the range of validity of the results. DOI: 10.1103/PhysRevB.84.184103 PACS number(s): 64.10.+h, 65.40.−b, 63.20.−e, 71.15.Nc I. -
States of Matter Lesson
National Aeronautics and Space Administration STATES OF MATTER NASA SUMMER OF INNOVATION LESSON DESCRIPTION UNIT This lesson explores the states of matter Physical Science—States of Matter and their properties. GRADE LEVELS OBJECTIVES 4 – 6 Students will CONNECTION TO CURRICULUM • Simulate the movement of atoms and molecules in solids, liquids, Science and gases TEACHER PREPARATION TIME • Demonstrate the properties of 2 hours liquids including density and buoyancy LESSON TIME NEEDED • Investigate how the density of a 4 hours Complexity: Moderate solid behaves in varying densities of liquids • Construct a rocket powered by pressurized gas created from a chemical reaction between a solid and a liquid NATIONAL STANDARDS National Science Education Standards (NSTA) Science and Technology • Abilities of technological design • Understanding science and technology Physical Science • Position and movement of objects • Properties and changes in properties of matter • Transfer of energy MANAGEMENT For the first activity you may need to enhance prior knowledge about matter and energy from a supplemental handout called “Diagramming Atoms and Molecules in Motion.” At the middle school level, this information about the invisible world of the atom is often presented as a story which we ask them to accept without much ready evidence. Since so many middle school students have not had science experience at the concrete operational level, they are poorly equipped to work at an abstract level. However, in this activity students can begin to see evidence that supports the abstract information you are sharing with them. They can take notes on the first two descriptions as you present on the overhead. Emphasize the spacing of the particles, rather than the number. -
Sounds of a Supersolid A
NEWS & VIEWS RESEARCH hypothesis came from extensive population humans, implying possible mosquito exposure long-distance spread of insecticide-resistant time-series analysis from that earlier study5, to malaria parasites and the potential to spread mosquitoes, worsening an already dire situ- which showed beyond reasonable doubt that infection over great distances. ation, given the current spread of insecticide a mosquito vector species called Anopheles However, the authors failed to detect resistance in mosquito populations. This would coluzzii persists locally in the dry season in parasite infections in their aerially sampled be a matter of great concern because insecticides as-yet-undiscovered places. However, the malaria vectors, a result that they assert is to be are the best means of malaria control currently data were not consistent with this outcome for expected given the small sample size and the low available8. However, long-distance migration other malaria vectors in the study area — the parasite-infection rates typical of populations of could facilitate the desirable spread of mosqui- species Anopheles gambiae and Anopheles ara- malaria vectors. A problem with this argument toes for gene-based methods of malaria-vector biensis — leaving wind-powered long-distance is that the typical infection rates they mention control. One thing is certain, Huestis and col- migration as the only remaining possibility to are based on one specific mosquito body part leagues have permanently transformed our explain the data5. (salivary glands), rather than the unknown but understanding of African malaria vectors and Both modelling6 and genetic studies7 undoubtedly much higher infection rates that what it will take to conquer malaria. -
Machine Learning for Condensed Matter Physics
Review Article Machine Learning for Condensed Matter Physics Edwin A. Bedolla-Montiel1, Luis Carlos Padierna1 and Ram´on Casta~neda-Priego1 1 Divisi´onde Ciencias e Ingenier´ıas,Universidad de Guanajuato, Loma del Bosque 103, 37150 Le´on,Mexico E-mail: [email protected] Abstract. Condensed Matter Physics (CMP) seeks to understand the microscopic interactions of matter at the quantum and atomistic levels, and describes how these interactions result in both mesoscopic and macroscopic properties. CMP overlaps with many other important branches of science, such as Chemistry, Materials Science, Statistical Physics, and High-Performance Computing. With the advancements in modern Machine Learning (ML) technology, a keen interest in applying these algorithms to further CMP research has created a compelling new area of research at the intersection of both fields. In this review, we aim to explore the main areas within CMP, which have successfully applied ML techniques to further research, such as the description and use of ML schemes for potential energy surfaces, the characterization of topological phases of matter in lattice systems, the prediction of phase transitions in off-lattice and atomistic simulations, the interpretation of ML theories with physics- inspired frameworks and the enhancement of simulation methods with ML algorithms. We also discuss in detial the main challenges and drawbacks of using ML methods on CMP problems, as well as some perspectives for future developments. Keywords: machine learning, condensed matter physics Submitted -
Multidisciplinary Design Project Engineering Dictionary Version 0.0.2
Multidisciplinary Design Project Engineering Dictionary Version 0.0.2 February 15, 2006 . DRAFT Cambridge-MIT Institute Multidisciplinary Design Project This Dictionary/Glossary of Engineering terms has been compiled to compliment the work developed as part of the Multi-disciplinary Design Project (MDP), which is a programme to develop teaching material and kits to aid the running of mechtronics projects in Universities and Schools. The project is being carried out with support from the Cambridge-MIT Institute undergraduate teaching programe. For more information about the project please visit the MDP website at http://www-mdp.eng.cam.ac.uk or contact Dr. Peter Long Prof. Alex Slocum Cambridge University Engineering Department Massachusetts Institute of Technology Trumpington Street, 77 Massachusetts Ave. Cambridge. Cambridge MA 02139-4307 CB2 1PZ. USA e-mail: [email protected] e-mail: [email protected] tel: +44 (0) 1223 332779 tel: +1 617 253 0012 For information about the CMI initiative please see Cambridge-MIT Institute website :- http://www.cambridge-mit.org CMI CMI, University of Cambridge Massachusetts Institute of Technology 10 Miller’s Yard, 77 Massachusetts Ave. Mill Lane, Cambridge MA 02139-4307 Cambridge. CB2 1RQ. USA tel: +44 (0) 1223 327207 tel. +1 617 253 7732 fax: +44 (0) 1223 765891 fax. +1 617 258 8539 . DRAFT 2 CMI-MDP Programme 1 Introduction This dictionary/glossary has not been developed as a definative work but as a useful reference book for engi- neering students to search when looking for the meaning of a word/phrase. It has been compiled from a number of existing glossaries together with a number of local additions. -
Glossary of Terms
GLOSSARY OF TERMS For the purpose of this Handbook, the following definitions and abbreviations shall apply. Although all of the definitions and abbreviations listed below may have not been used in this Handbook, the additional terminology is provided to assist the user of Handbook in understanding technical terminology associated with Drainage Improvement Projects and the associated regulations. Program-specific terms have been defined separately for each program and are contained in pertinent sub-sections of Section 2 of this handbook. ACRONYMS ASTM American Society for Testing Materials CBBEL Christopher B. Burke Engineering, Ltd. COE United States Army Corps of Engineers EPA Environmental Protection Agency IDEM Indiana Department of Environmental Management IDNR Indiana Department of Natural Resources NRCS USDA-Natural Resources Conservation Service SWCD Soil and Water Conservation District USDA United States Department of Agriculture USFWS United States Fish and Wildlife Service DEFINITIONS AASHTO Classification. The official classification of soil materials and soil aggregate mixtures for highway construction used by the American Association of State Highway and Transportation Officials. Abutment. The sloping sides of a valley that supports the ends of a dam. Acre-Foot. The volume of water that will cover 1 acre to a depth of 1 ft. Aggregate. (1) The sand and gravel portion of concrete (65 to 75% by volume), the rest being cement and water. Fine aggregate contains particles ranging from 1/4 in. down to that retained on a 200-mesh screen. Coarse aggregate ranges from 1/4 in. up to l½ in. (2) That which is installed for the purpose of changing drainage characteristics. -
The Elastic Constants of a Nematic Liquid Crystal
The Elastic Constants of a Nematic Liquid Crystal Hans Gruler Gordon McKay Laboratory, Harvard University, Cambridge, Mass. 02138, U.S.A. (Z. Naturforsch. 30 a, 230-234 [1975] ; received November 4, 1974) The elastic constants of a nematic liquid and of a solid crystal were derived by comparing the Gibbs free energy with the elastic energy. The expressions for the elastic constants of the nematic and the solid crystal are isomorphic: k oc | D | /1. In the nematic phase | D | and I are the mean field energy and the molecular length. In the solid crystal, | D | and I correspond to the curvature of the potential and to the lattice constant, respectively. The measured nematic elastic constants show the predicted I dependence. 1. Introduction The mean field of the nematic phase was first derived by Maier and Saupe 3: The symmetry of a crystal determines the number D(0,P2) = -(A/Vn2)P2-P2±... (2) of non-vanishing elastic constants. In a nematic liquid crystal which is a uniaxial crystal, we find five 0 is the angle between the length axis of one mole- elastic constants but only three describe bulk pro- cule and the direction of the preferred axis (optical perties 2. Here we calculate the magnitude of these axis). P2 is the second Legendre polynomial and three elastic constants by determining the elastic P2 is one order parameter given by the distribution function f{0): energy density in two different ways. On the one hand the elastic energy density can be expressed by the elastic constants and the curvature of the optical p2 = Tf (@) Po sin e d e/tf (&) sin e d 0 . -
Calorimetric Study on Kinetics of Mesophase Transition in Thermotropic Copolyesters
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by Directory of Open Access Journals IJRRAS 3 (1) ● April 2010 Talukdar & Achary ● Study on Kinetics of Mesophase Transition CALORIMETRIC STUDY ON KINETICS OF MESOPHASE TRANSITION IN THERMOTROPIC COPOLYESTERS Malabika Talukdar & P.Ganga Raju Achary Department Of Chemistry, Institute Of Technical Education and Research (ITER), S ‘O’A University, Bhubaneswar, Orissa, India ABSTRACT Macromolecular crystallization behaviour, especially those of liquid crystalline polymers, has been a subject of great interest. The crystallization process for the polyester samples under discussion are analyzed assuming a nucleation controlled process and by using the Avrami equation. The study mainly deals with the crystallization process from the mesophase of two thermotropic liquid crystalline polyesters exhibiting smectic order in their mesophasic state. In order to analyze crystallization behavior of the polyesters, crystallization rate constant and the Avrami exponent have been estimated. Total heat of crystallization and entropy change during the transition has been calculated for both the polyesters. Keywords: Crystallization; Mesophase; Nucleation; Orthorhombic; Smectic. 1. INTRODUCTION The transition kinetics of liquid crystal polymers appears to be of great interest in order to control the effect of processing conditions on the morphology as well as on the final properties of the materials. These LC polymers show at least three main transitions: a glass transition, a thermotropic transition from the crystal to the mesophase and the transition from the mesophase to the isotropic melt. The kinetics of phase transition in liquid crystals may be analyzed for three different processes, the three dimensional ordering from both the isotropic melt state and the mesophase and the formation of the mesophase from the isotropic melt. -
Soft Matter Theory
Soft Matter Theory K. Kroy Leipzig, 2016∗ Contents I Interacting Many-Body Systems 3 1 Pair interactions and pair correlations 4 2 Packing structure and material behavior 9 3 Ornstein{Zernike integral equation 14 4 Density functional theory 17 5 Applications: mesophase transitions, freezing, screening 23 II Soft-Matter Paradigms 31 6 Principles of hydrodynamics 32 7 Rheology of simple and complex fluids 41 8 Flexible polymers and renormalization 51 9 Semiflexible polymers and elastic singularities 63 ∗The script is not meant to be a substitute for reading proper textbooks nor for dissemina- tion. (See the notes for the introductory course for background information.) Comments and suggestions are highly welcome. 1 \Soft Matter" is one of the fastest growing fields in physics, as illustrated by the APS Council's official endorsement of the new Soft Matter Topical Group (GSOFT) in 2014 with more than four times the quorum, and by the fact that Isaac Newton's chair is now held by a soft matter theorist. It crosses traditional departmental walls and now provides a common focus and unifying perspective for many activities that formerly would have been separated into a variety of disciplines, such as mathematics, physics, biophysics, chemistry, chemical en- gineering, materials science. It brings together scientists, mathematicians and engineers to study materials such as colloids, micelles, biological, and granular matter, but is much less tied to certain materials, technologies, or applications than to the generic and unifying organizing principles governing them. In the widest sense, the field of soft matter comprises all applications of the principles of statistical mechanics to condensed matter that is not dominated by quantum effects. -
Liquid Crystal Nanoparticles for Commercial Drug Delivery
This is a repository copy of Liquid crystal nanoparticles for commercial drug delivery. White Rose Research Online URL for this paper: http://eprints.whiterose.ac.uk/119939/ Version: Accepted Version Article: Mo, J, Milleret, G and Nagaraj, M orcid.org/0000-0001-9713-1362 (2017) Liquid crystal nanoparticles for commercial drug delivery. Liquid Crystals Reviews, 5 (2). pp. 69-85. ISSN 2168-0396 https://doi.org/10.1080/21680396.2017.1361874 © 2017 Taylor & Francis. This is an Accepted Manuscript of an article published by Taylor & Francis in Liquid Crystals Reviews on 17 August 2017, available online: http://www.tandfonline.com/10.1080/21680396.2017.1361874. Uploaded in accordance with the publisher's self-archiving policy. Reuse Items deposited in White Rose Research Online are protected by copyright, with all rights reserved unless indicated otherwise. They may be downloaded and/or printed for private study, or other acts as permitted by national copyright laws. The publisher or other rights holders may allow further reproduction and re-use of the full text version. This is indicated by the licence information on the White Rose Research Online record for the item. Takedown If you consider content in White Rose Research Online to be in breach of UK law, please notify us by emailing [email protected] including the URL of the record and the reason for the withdrawal request. [email protected] https://eprints.whiterose.ac.uk/ Liquid crystal nanoparticles for commercial drug delivery J. Moa G. Millereta and M. Nagaraja* a School of Physics and Astronomy, University of Leeds, Leeds LS2 9JT, UK [email protected] 1 Liquid crystal nanoparticles for commercial drug delivery Liquid crystals are an intermediate state of matter that exists between conventional solids and liquids. -
Low Shear Rheological Behaviour of Two-Phase Mesophase Pitch
Published as: Shatish Ramjee, Brian Rand, Walter W. Focke. Low Shear Rheological Behaviour of Two-Phase Mesophase Pitch. Carbon 82 (2015), pp. 368-380. DOI : 10.1016/j.carbon.2014.10.082 Low Shear Rheological Behaviour of Two-Phase Mesophase Pitch Shatish Ramjee, Brian Rand*, Walter W. Focke SARChI Chair of Carbon Technology and Materials, Department of Chemical Engineering University of Pretoria, Pretoria, South Africa, 0002 Abstract: The low shear rate rheology of two phase mesophase pitches derived from coal tar pitch has been investigated. Particulate quinoline insolubles (QI) stabilised the mesophase spheres against coalescence. Viscosity measurements over the range 10 to 106 Pa.s were made at appropriate temperature ranges. Increasing shear thinning behaviour was evident with increasing mesophase content. At low mesophase contents the dominant effect on the near Newtonian viscosity was temperature but at higher contents it was the shear rate; temperature dependence declined to near zero. The data indicated that agglomeration could be occurring at intermediate mesophase volume fractions, 0.2-0.3. The Krieger-Dougherty function and its emulsion analogue indicated that in this region the mesophase pitch emulsions actually behaved like „hard‟ sphere systems and the effective volume fraction was estimated as a function of shear rate illustrating the change in extent of agglomeration. At the higher volume fractions approaching the maximum packing fraction, which could only be measured at higher temperatures, the shear thinning behaviour -
Exploring Thein Meso Crystallization Mechanism by Characterizing the Lipid Mesophase Microenvironment During the Growth of Singl
Exploring the in meso crystallization mechanism rsta.royalsocietypublishing.org by characterizing the lipid mesophase microenvironment Research during the growth of single Cite this article: van`tHagLet al.2016 transmembrane α-helical Exploring the in meso crystallization mechanism by characterizing the lipid peptide crystals mesophase microenvironment during the 1,3,4 2,5 growth of single transmembrane α-helical Leonie van `t Hag , Konstantin Knoblich , Shane Phil.Trans.R.Soc.A peptide crystals. 374: A. Seabrook6, Nigel M. Kirby7, Stephen T. Mudie7, 20150125. http://dx.doi.org/10.1098/rsta.2015.0125 Deborah Lau4,XuLi1,3, Sally L. Gras1,3,8,Xavier 4 2,5 2,5 Accepted: 12 February 2016 Mulet , Matthew E. Call , Melissa J. Call , Calum J. Drummond4,9 and Charlotte E. Conn9 One contribution of 15 to a discussion meeting 1 issue ‘Soft interfacial materials: from Department of Chemical and Biomolecular Engineering, and 2 fundamentals to formulation’. Department of Medical Biology, The University of Melbourne, Parkville, Victoria 3052, Australia Subject Areas: 3Bio21 Molecular Science and Biotechnology Institute, physical chemistry, biochemistry The University of Melbourne, 30 Flemington Road, Parkville, Victoria 3052, Australia Keywords: 4 in meso crystallization, cubic mesophase, CSIRO Manufacturing Flagship, Private Bag 10, Clayton, Victoria local lamellar phase, DAP12. 3169, Australia 5Structural Biology Division, The Walter and Eliza Hall Institute of Authors for correspondence: Medical Research, 1G Royal Parade, Parkville, Victoria 3052,