Engineering Materials and Processes Lecture 4 – Crystal Structure of Metals
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Crystal Structures
Crystal Structures Academic Resource Center Crystallinity: Repeating or periodic array over large atomic distances. 3-D pattern in which each atom is bonded to its nearest neighbors Crystal structure: the manner in which atoms, ions, or molecules are spatially arranged. Unit cell: small repeating entity of the atomic structure. The basic building block of the crystal structure. It defines the entire crystal structure with the atom positions within. Lattice: 3D array of points coinciding with atom positions (center of spheres) Metallic Crystal Structures FCC (face centered cubic): Atoms are arranged at the corners and center of each cube face of the cell. FCC continued Close packed Plane: On each face of the cube Atoms are assumed to touch along face diagonals. 4 atoms in one unit cell. a 2R 2 BCC: Body Centered Cubic • Atoms are arranged at the corners of the cube with another atom at the cube center. BCC continued • Close Packed Plane cuts the unit cube in half diagonally • 2 atoms in one unit cell 4R a 3 Hexagonal Close Packed (HCP) • Cell of an HCP lattice is visualized as a top and bottom plane of 7 atoms, forming a regular hexagon around a central atom. In between these planes is a half- hexagon of 3 atoms. • There are two lattice parameters in HCP, a and c, representing the basal and height parameters Volume respectively. 6 atoms per unit cell Coordination number – the number of nearest neighbor atoms or ions surrounding an atom or ion. For FCC and HCP systems, the coordination number is 12. For BCC it’s 8. -
Crystal Structure of a Material Is Way in Which Atoms, Ions, Molecules Are Spatially Arranged in 3-D Space
Crystalline Structures – The Basics •Crystal structure of a material is way in which atoms, ions, molecules are spatially arranged in 3-D space. •Crystal structure = lattice (unit cell geometry) + basis (atom, ion, or molecule positions placed on lattice points within the unit cell). •A lattice is used in context when describing crystalline structures, means a 3-D array of points in space. Every lattice point must have identical surroundings. •Unit cell: smallest repetitive volume •Each crystal structure is built by stacking which contains the complete lattice unit cells and placing objects (motifs, pattern of a crystal. A unit cell is chosen basis) on the lattice points: to represent the highest level of geometric symmetry of the crystal structure. It’s the basic structural unit or building block of crystal structure. 7 crystal systems in 3-D 14 crystal lattices in 3-D a, b, and c are the lattice constants 1 a, b, g are the interaxial angles Metallic Crystal Structures (the simplest) •Recall, that a) coulombic attraction between delocalized valence electrons and positively charged cores is isotropic (non-directional), b) typically, only one element is present, so all atomic radii are the same, c) nearest neighbor distances tend to be small, and d) electron cloud shields cores from each other. •For these reasons, metallic bonding leads to close packed, dense crystal structures that maximize space filling and coordination number (number of nearest neighbors). •Most elemental metals crystallize in the FCC (face-centered cubic), BCC (body-centered cubic, or HCP (hexagonal close packed) structures: Room temperature crystal structure Crystal structure just before it melts 2 Recall: Simple Cubic (SC) Structure • Rare due to low packing density (only a-Po has this structure) • Close-packed directions are cube edges. -
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. -
Materials Technology – Placement
MATERIAL TECHNOLOGY 01. An eutectoid steel consists of A. Wholly pearlite B. Pearlite and ferrite C. Wholly austenite D. Pearlite and cementite ANSWER: A 02. Iron-carbon alloys containing 1.7 to 4.3% carbon are known as A. Eutectic cast irons B. Hypo-eutectic cast irons C. Hyper-eutectic cast irons D. Eutectoid cast irons ANSWER: B 03. The hardness of steel increases if it contains A. Pearlite B. Ferrite C. Cementite D. Martensite ANSWER: C 04. Pearlite is a combination of A. Ferrite and cementite B. Ferrite and austenite C. Ferrite and iron graphite D. Pearlite and ferrite ANSWER: A 05. Austenite is a combination of A. Ferrite and cementite B. Cementite and gamma iron C. Ferrite and austenite D. Pearlite and ferrite ANSWER: B 06. Maximum percentage of carbon in ferrite is A. 0.025% B. 0.06% C. 0.1% D. 0.25% ANSWER: A 07. Maximum percentage of carbon in austenite is A. 0.025% B. 0.8% 1 C. 1.25% D. 1.7% ANSWER: D 08. Pure iron is the structure of A. Ferrite B. Pearlite C. Austenite D. Ferrite and pearlite ANSWER: A 09. Austenite phase in Iron-Carbon equilibrium diagram _______ A. Is face centered cubic structure B. Has magnetic phase C. Exists below 727o C D. Has body centered cubic structure ANSWER: A 10. What is the crystal structure of Alpha-ferrite? A. Body centered cubic structure B. Face centered cubic structure C. Orthorhombic crystal structure D. Tetragonal crystal structure ANSWER: A 11. In Iron-Carbon equilibrium diagram, at which temperature cementite changes fromferromagnetic to paramagnetic character? A. -
Crystal Structure
Physics 927 E.Y.Tsymbal Section 1: Crystal Structure A solid is said to be a crystal if atoms are arranged in such a way that their positions are exactly periodic. This concept is illustrated in Fig.1 using a two-dimensional (2D) structure. y T C Fig.1 A B a x 1 A perfect crystal maintains this periodicity in both the x and y directions from -∞ to +∞. As follows from this periodicity, the atoms A, B, C, etc. are equivalent. In other words, for an observer located at any of these atomic sites, the crystal appears exactly the same. The same idea can be expressed by saying that a crystal possesses a translational symmetry. The translational symmetry means that if the crystal is translated by any vector joining two atoms, say T in Fig.1, the crystal appears exactly the same as it did before the translation. In other words the crystal remains invariant under any such translation. The structure of all crystals can be described in terms of a lattice, with a group of atoms attached to every lattice point. For example, in the case of structure shown in Fig.1, if we replace each atom by a geometrical point located at the equilibrium position of that atom, we obtain a crystal lattice. The crystal lattice has the same geometrical properties as the crystal, but it is devoid of any physical contents. There are two classes of lattices: the Bravais and the non-Bravais. In a Bravais lattice all lattice points are equivalent and hence by necessity all atoms in the crystal are of the same kind. -
The American Mineralogist Crystal Structure Database
American Mineralogist, Volume 88, pages 247–250, 2003 The American Mineralogist crystal structure database ROBERT T. DOWNS* AND MICHELLE HALL-WALLACE Department of Geosciences, University of Arizona, Tucson, Arizona 85721-0077, U.S.A. ABSTRACT A database has been constructed that contains all the crystal structures previously published in the American Mineralogist. The database is called “The American Mineralogist Crystal Structure Database” and is freely accessible from the websites of the Mineralogical Society of America at http://www.minsocam.org/MSA/Crystal_Database.html and the University of Arizona. In addition to the database, a suite of interactive software is provided that can be used to view and manipulate the crystal structures and compute different properties of a crystal such as geometry, diffraction patterns, and procrystal electron densities. The database is set up so that the data can be easily incorporated into other software packages. Included at the website is an evolving set of guides to instruct the user and help with classroom education. INTRODUCTION parameters; (5) incorporating comments from either the origi- The structure of a crystal represents a minimum energy con- nal authors or ourselves when changes are made to the origi- figuration adopted by a collection of atoms at a given tempera- nally published data. Each record in the database consists of a ture and pressure. In principle, all the physical and chemical bibliographic reference, cell parameters, symmetry, atomic properties of any crystalline substance can be computed from positions, displacement parameters, and site occupancies. An knowledge of its crystal structure. The determination of crys- example of a data set is provided in Figure 1. -
Malleable Iron Pipe Fittings 150 Lb & 300 Lb Malleable Iron Pipe Fittings Specifications
® CORPORATE OFFICE TEL (800) 766-0076 LOCAL (323) 890-4455 FAX (323) 890-4456 WWW.SMITHCOOPER.COM Malleable Iron Pipe Fittings 150 lb & 300 lb Malleable Iron Pipe Fittings Specifications • Manufacturing facilities are ISO 9001:2000 and ISO 14001 • Class 150 China fittings are UL listed and FM approved at 300 PSI • Class 300 China fittings are UL listed ® • Malleable castings conform to ASTM A197 • Hot-dipped galvanized fittings conform to ASTM A153 • Malleable fitting dimensions conform to ASME B16.3 • Malleable bushings, plugs and locknuts conform to ASME B16.14 • Malleable unions conform to ASME B16.39 • NPT threads on all fittings conform to ASME B1.20.1 • Independent lab verification that fittings meet applicable chemical & physical properties SCI Quality Plus • Quality control inspections both at the overseas factory and our US warehouses • All fittings 100% tested under water • Company engineer available at your request • $10,000,000 product liability insurance • SCI trademark logo on each fitting • SCI 5/50 guarantee • Pro Pak System makes products easier to handle and warehouse • Orders shipped with in 24 hours • Fax confirmation of every order • Knowledgeable customer service personnel Warranty and Limitations of Liability SMITH-COOPER INTERNATIONAL (SCI) warrants to its initial purchaser only, that its products which are delivered to this initial purchaser will be of the kind described in the order or price list and will be free of defects in workmanship or material for a period of five years from the date of delivery to our -
PVF Product Guide
Product Guide Pipes, Valves, Fittings plus Threaded Rod, Strut, Hangers & Accessories 1-800-849-3900 www.dillonsupply.com Index Pipe Fittings, Threaded � � � � � � � � � � � � � � � � � 2 Weld Fittings � � � � � � � � � � � � � � � � � � � � � � � � � � � 17 Traps and Strainers � � � � � � � � � � � � � � � � � � � � � 26 Bushings, Double Tap Tank � � � � � � � � � � � � � � � � � 2 Carbon Steel, Global � � � � � � � � � � � � � � � � � � � � � 17 Steam Trap, Thermo-dynamic, Bushings, Hex � � � � � � � � � � � � � � � � � � � � � � � � � � � � 2 Forged Steel Socket Weld 3000#, Import � � � 18 Spirax-Sarco � � � � � � � � � � � � � � � � � � � � � � � � � � 26 Caps � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � 3 Steam Trap, Universal Thermo-dynamic, 19 Couplings � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � 5 Flanges and Flange Gaskets � � � � � � � � � � � Spirax-Sarco � � � � � � � � � � � � � � � � � � � � � � � � � � 26 Couplings, Reducing � � � � � � � � � � � � � � � � � � � � � � 6 Flange, Carbon Steel, Import � � � � � � � � � � � � � � 19 Strainers, Cast Iron, Spirax-Sarco � � � � � � � � � 26 Crosses � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � 7 Flange, Floor � � � � � � � � � � � � � � � � � � � � � � � � � � � � 19 Universal Steam Trap Connectors, 26 Elbows, 45 � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � 8 Flange Gasket, Bolt and Nut Kit � � � � � � � � � � � � 20 Spirax-Sarco � � � � � � � � � � � � � � � � � � � � � � � � � � Elbows, 90 -
Malleable Iron Pipe Fittings from China
CONTENTS Page Determination ....................................................................................................................... 1 Views of the Commission ....................................................................................................... 3 Information obtained in this review ..................................................................................... I-1 Background ................................................................................................................................ I-1 Responses to the Commission’s notice of institution ............................................................... I-1 Individual responses .............................................................................................................. I-1 Party comments on adequacy ............................................................................................... I-2 The original investigation and subsequent reviews .................................................................. I-3 The original investigation ...................................................................................................... I-3 The first five-year review ....................................................................................................... I-3 The second five-year review .................................................................................................. I-4 Previous and related investigations ......................................................................................... -
Crystal Structures and Symmetries
Crystal Structures and Symmetries G. Roth This document has been published in Manuel Angst, Thomas Brückel, Dieter Richter, Reiner Zorn (Eds.): Scattering Methods for Condensed Matter Research: Towards Novel Applications at Future Sources Lecture Notes of the 43rd IFF Spring School 2012 Schriften des Forschungszentrums Jülich / Reihe Schlüsseltechnologien / Key Tech- nologies, Vol. 33 JCNS, PGI, ICS, IAS Forschungszentrum Jülich GmbH, JCNS, PGI, ICS, IAS, 2012 ISBN: 978-3-89336-759-7 All rights reserved. B 1 Crystal Structures and Symmetries G. Roth Institute of Crystallography RWTH Aachen University Contents B 1 Crystal Structures and Symmetries ................................................1 1.1 Crystal lattices ...................................................................................2 1.2 Crystallographic coordinate systems ..............................................4 1.3 Symmetry-operations and -elements...............................................7 1.4 Crystallographic point groups and space groups ........................10 1.5 Quasicrystals....................................................................................13 1.6 Application: Structure description of YBa2Cu3O7-δ ....................14 ________________________ Lecture Notes of the 43rd IFF Spring School "Scattering Methods for Condensed Matter Research: Towards Novel Applications at Future Sources" (Forschungszentrum Jülich, 2012). All rights reserved. B1.2 G. Roth Introduction The term “crystal” derives from the Greek κρύσταλλος , which was first -
Enghandbook.Pdf
785.392.3017 FAX 785.392.2845 Box 232, Exit 49 G.L. Huyett Expy Minneapolis, KS 67467 ENGINEERING HANDBOOK TECHNICAL INFORMATION STEELMAKING Basic descriptions of making carbon, alloy, stainless, and tool steel p. 4. METALS & ALLOYS Carbon grades, types, and numbering systems; glossary p. 13. Identification factors and composition standards p. 27. CHEMICAL CONTENT This document and the information contained herein is not Quenching, hardening, and other thermal modifications p. 30. HEAT TREATMENT a design standard, design guide or otherwise, but is here TESTING THE HARDNESS OF METALS Types and comparisons; glossary p. 34. solely for the convenience of our customers. For more Comparisons of ductility, stresses; glossary p.41. design assistance MECHANICAL PROPERTIES OF METAL contact our plant or consult the Machinery G.L. Huyett’s distinct capabilities; glossary p. 53. Handbook, published MANUFACTURING PROCESSES by Industrial Press Inc., New York. COATING, PLATING & THE COLORING OF METALS Finishes p. 81. CONVERSION CHARTS Imperial and metric p. 84. 1 TABLE OF CONTENTS Introduction 3 Steelmaking 4 Metals and Alloys 13 Designations for Chemical Content 27 Designations for Heat Treatment 30 Testing the Hardness of Metals 34 Mechanical Properties of Metal 41 Manufacturing Processes 53 Manufacturing Glossary 57 Conversion Coating, Plating, and the Coloring of Metals 81 Conversion Charts 84 Links and Related Sites 89 Index 90 Box 232 • Exit 49 G.L. Huyett Expressway • Minneapolis, Kansas 67467 785-392-3017 • Fax 785-392-2845 • [email protected] • www.huyett.com INTRODUCTION & ACKNOWLEDGMENTS This document was created based on research and experience of Huyett staff. Invaluable technical information, including statistical data contained in the tables, is from the 26th Edition Machinery Handbook, copyrighted and published in 2000 by Industrial Press, Inc. -
Crystal Structure and Mechanical Properties of Thbc2
crystals Article Crystal Structure and Mechanical Properties of ThBC2 Xinchun Zhou and Baobing Zheng * College of Physics and Optoelectronic Technology & Advanced Titanium Alloys and Functional Coatings Cooperative Innovation Center, Baoji University of Arts and Sciences, Baoji 721016, China * Correspondence: [email protected]; Tel.: +86-917-3364-258 Received: 6 July 2019; Accepted: 27 July 2019; Published: 29 July 2019 Abstract: Thorium borocarbide compounds have fascinating physical properties and diverse structures, and hence have stimulated great interest. In this work, we determine the ground state structure of ThBC2 by the unbiased structure prediction method based on first-principles calculations. The dynamical and elastic stabilities of our proposed ThBC2 are verified by the calculations of phonon spectrum and elastic constants. To study the mechanical properties fundamentally, we estimated the elastic anisotropy of ThBC2. The results show that the Young’s and shear moduli possess high degree of anisotropy. The ideal strength calculations reveal that ThBC2 readily collapses upon applied stress due to small ideal strengths. The cleavage fracture probably occurs along the [111] direction while slip may easily appear along the [110] direction on the (111) plane for ThBC2. In addition, we provide an atomic explanation for the different characteristics of the strain–stress curves under different strains. Keywords: ThBC2; crystal structure; anisotropic mechanical properties; ideal strength; first-principles calculations 1. Introduction Due to the potential application in fission fuel, actinoid-metal borocarbides are of great interest, especially thorium borocarbide compounds [1–7]. Thorium borocarbide compounds have diversified stoichiometric proportions with different crystal structures due to the flexible B–C framework.