Solid Solution Hardening & Strength
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Homework 5 Solutions
SCI 1410: materials science & solid state chemistry HOMEWORK 5. solutions Textbook Problems: Imperfections in Solids 1. Askeland 4-67. Why is most “gold” or “silver” jewelry made out of gold or silver alloyed with copper, i.e, what advantages does copper offer? We have two major considerations in jewelry alloying: strength and cost. Copper additions obviously lower the cost of gold or silver (Note that 14K gold is actually only about 50% gold). Copper and other alloy additions also strengthen pure gold and pure silver. In both gold and silver, copper will strengthen the material by either solid solution strengthening (substitutional Cu atoms in the Au or Ag crystal), or by formation of second phase in the microstructure. 2. Solid state solubility. Of the elements in the chart below, name those that would form each of the following relationships with copper (non-metals only have atomic radii listed): a. Substitutional solid solution with complete solubility o Ni and possibly Ag, Pd, and Pt b. Substitutional solid solution of incomplete solubility o Ag, Pd, and Pt (if you didn’t include these in part (a); Al, Co, Cr, Fe, Zn c. An interstitial solid solution o C, H, O (small atomic radii) Element Atomic Radius (nm) Crystal Structure Electronegativity Valence Cu 0.1278 FCC 1.9 +2 C 0.071 H 0.046 O 0.060 Ag 0.1445 FCC 1.9 +1 Al 0.1431 FCC 1.5 +3 Co 0.1253 HCP 1.8 +2 Cr 0.1249 BCC 1.6 +3 Fe 0.1241 BCC 1.8 +2 Ni 0.1246 FCC 1.8 +2 Pd 0.1376 FCC 2.2 +2 Pt 0.1387 FCC 2.2 +2 Zn 0.1332 HCP 1.6 +2 3. -
Chapter 15: Solutions
452-487_Ch15-866418 5/10/06 10:51 AM Page 452 CHAPTER 15 Solutions Chemistry 6.b, 6.c, 6.d, 6.e, 7.b I&E 1.a, 1.b, 1.c, 1.d, 1.j, 1.m What You’ll Learn ▲ You will describe and cate- gorize solutions. ▲ You will calculate concen- trations of solutions. ▲ You will analyze the colliga- tive properties of solutions. ▲ You will compare and con- trast heterogeneous mixtures. Why It’s Important The air you breathe, the fluids in your body, and some of the foods you ingest are solu- tions. Because solutions are so common, learning about their behavior is fundamental to understanding chemistry. Visit the Chemistry Web site at chemistrymc.com to find links about solutions. Though it isn’t apparent, there are at least three different solu- tions in this photo; the air, the lake in the foreground, and the steel used in the construction of the buildings are all solutions. 452 Chapter 15 452-487_Ch15-866418 5/10/06 10:52 AM Page 453 DISCOVERY LAB Solution Formation Chemistry 6.b, 7.b I&E 1.d he intermolecular forces among dissolving particles and the Tattractive forces between solute and solvent particles result in an overall energy change. Can this change be observed? Safety Precautions Dispose of solutions by flushing them down a drain with excess water. Procedure 1. Measure 10 g of ammonium chloride (NH4Cl) and place it in a Materials 100-mL beaker. balance 2. Add 30 mL of water to the NH4Cl, stirring with your stirring rod. -
Self-Assembly of a Colloidal Interstitial Solid Solution with Tunable Sublattice Doping: Supplementary Information
Self-assembly of a colloidal interstitial solid solution with tunable sublattice doping: Supplementary information L. Filion,∗ M. Hermes, R. Ni, E. C. M. Vermolen,† A. Kuijk, C. G. Christova,‡ J. C. P. Stiefelhagen, T. Vissers, A. van Blaaderen, and M. Dijkstra Soft Condensed Matter, Debye Institute for NanoMaterials Science, Utrecht University, Princetonplein 1, NL-3584 CC Utrecht, the Netherlands I. CRYSTAL STRUCTURE LS6 In the main paper we use full free-energy calculations to determine the phase diagram for binary mixtures of hard spheres with size ratio σS/σL = 0.3 where σS(L) is the diameter of the small (large) particles. The phases we considered included a structure with LS6 stoichiometry for which we could not identify an atomic analogue. Snapshots of this structure from various perspectives are shown in Fig. S1. FIG. S1: Unit cell of the binary LS6 superlattice structure described in this paper. Note that both species exhibit long-range crystalline order. The unit cell is based on a body-centered-cubic cell of the large particles in contrast to the face-centered-cubic cell associated with the interstitial solid solution covering most of the phase diagram (Fig. 1). II. PHASE DIAGRAM AT CONSTANT VOLUME 3 In the main paper, we present the xS − p representation of the phase diagram where p = βPσL is the reduced pressure, xS = NS/(NS + NL), NS(L) is the number of small (large) hard spheres, β = 1/kBT , kB is the Boltzmann constant, and T is the absolute temperature. This is the natural representation arising from common tangent construc- tions at constant pressure and the representation required for further simulation studies such as nucleation studies. -
Solid Solution Softening and Enhanced Ductility in Concentrated FCC Silver Solid Solution Alloys
UC Irvine UC Irvine Previously Published Works Title Solid solution softening and enhanced ductility in concentrated FCC silver solid solution alloys Permalink https://escholarship.org/uc/item/7d05p55k Authors Huo, Yongjun Wu, Jiaqi Lee, Chin C Publication Date 2018-06-27 DOI 10.1016/j.msea.2018.05.057 Peer reviewed eScholarship.org Powered by the California Digital Library University of California Materials Science & Engineering A 729 (2018) 208–218 Contents lists available at ScienceDirect Materials Science & Engineering A journal homepage: www.elsevier.com/locate/msea Solid solution softening and enhanced ductility in concentrated FCC silver T solid solution alloys ⁎ Yongjun Huoa,b, , Jiaqi Wua,b, Chin C. Leea,b a Electrical Engineering and Computer Science University of California, Irvine, CA 92697-2660, United States b Materials and Manufacturing Technology University of California, Irvine, CA 92697-2660, United States ARTICLE INFO ABSTRACT Keywords: The major adoptions of silver-based bonding wires and silver-sintering methods in the electronic packaging Concentrated solid solutions industry have incited the fundamental material properties research on the silver-based alloys. Recently, an Solid solution softening abnormal phenomenon, namely, solid solution softening, was observed in stress vs. strain characterization of Ag- Twinning-induced plasticity In solid solution. In this paper, the mechanical properties of additional concentrated silver solid solution phases Localized homologous temperature with other solute elements, Al, Ga and Sn, have been experimentally determined, with their work hardening Advanced joining materials behaviors and the corresponding fractography further analyzed. Particularly, the concentrated Ag-Ga solid so- lution has been discovered to possess the best combination of mechanical properties, namely, lowest yield strength, highest ductility and highest strength, among the concentrated solid solutions of the current study. -
Copper Alloys
THE COPPER ADVANTAGE A Guide to Working With Copper and Copper Alloys www.antimicrobialcopper.com CONTENTS I. Introduction ............................. 3 PREFACE Conductivity .....................................4 Strength ..........................................4 The information in this guide includes an overview of the well- Formability ......................................4 known physical, mechanical and chemical properties of copper, Joining ...........................................4 as well as more recent scientific findings that show copper has Corrosion ........................................4 an intrinsic antimicrobial property. Working and finishing Copper is Antimicrobial ....................... 4 techniques, alloy families, coloration and other attributes are addressed, illustrating that copper and its alloys are so Color ..............................................5 adaptable that they can be used in a multitude of applications Copper Alloy Families .......................... 5 in almost every industry, from door handles to electrical circuitry to heat exchangers. II. Physical Properties ..................... 8 Copper’s malleability, machinability and conductivity have Properties ....................................... 8 made it a longtime favorite metal of manufacturers and Electrical & Thermal Conductivity ........... 8 engineers, but it is its antimicrobial property that will extend that popularity into the future. This guide describes that property and illustrates how it can benefit everything from III. Mechanical -
Alloys: Making an Alloy
Inspirational chemistry 21 Alloys: making an alloy Index 2.3.1 2 sheets In this experiment, students make an alloy (solder) from tin and lead and compare its properties to those of pure lead. Equipment required Per pair or group of students: ■ About 2 g lead ■ About 2 g tin ■ Crucible ■ Pipe clay triangle ■ Bunsen, tripod and heatproof mat ■ Spatula ■ Carbon powder – 1 spatula per student ■ Tongs ■ 2 sand trays or sturdy metal lids ■ Sand ■ Access to a balance ■ Eye protection. Health and safety The most likely incident in this experiment is a student burning themselves so warn them that the equipment will be hot. Pouring molten metal can be hazardous if you are not sure how to use tongs correctly – it would be worth demonstrating how to use them safely. Some tongs in schools do not grip well. Every pair must be checked before the start of the experiment. Eye protection should be worn. Lead is a toxic metal. If it is heated for too long or too high above its melting point it could start to give off fumes. Ensure that the laboratory is well ventilated, warn students against breathing in the fumes given off by their sample during the experiment and tell them to heat the metals no longer than is necessary to get them to melt. 22 Inspirational chemistry Results Hardness testing should show clearly that the alloy is harder than the pure lead. The alloy can be used to scratch the lead convincingly. The lead does not leave a mark on the alloy. (Students may need to be reminded how to do this simple test – just try to scratch one metal with the other.) The density of the alloy should be less than that of the lead, but this test is fairly subjective. -
Definition of Design Allowables for Aerospace Metallic Materials
Definition of Design Allowables for Aerospace Metallic Materials AeroMat Presentation 2007 Jana Jackson Design Allowables for Aerospace Industry • Design for aerospace metallic structures must be approved by FAA certifier • FAA accepts "A-Basis" and "B-Basis" values published in MIL-HDBK-5, and now MMPDS (Metallic Materials Properties Development and Standardization) as meeting the regulations of FAR 25.613. OR • The designer must have sufficient data to verify the design allowables used. Design Allowables for Aerospace Industry • The FAA views the MMPDS handbook as a vital tool for aircraft certification and continued airworthiness activities. • Without the handbook, FAA review and approval of applicant submittals becomes more difficult, more costly and less consistent. • There could be multiple data submission for the same material that are conflicting or other instances that would require time consuming analysis and adjudication by the FAA. What is meant by A-Basis, B-Basis ? S = Specification Minimum • B-Basis: At least 90% of population A = T equals or exceeds value with 95% 99 confidence. B = T90 • A-Basis: At least 99% of population equals or exceeds value with 95% confidence or the specification minimum when it is lower. Æ Mechanical Property (i.e., FTY, et al) What is the MMPDS Handbook? • Metallic Materials Properties Development and Standardization • Origination: ANC-5 in 1937 (prepared by Army- Navy-Commerce Committee on Aircraft Requirements) • In 1946 the United States Air Force sanctioned the creation of a database to include physical and mechanical properties of aerospace materials. • This database was created in 1958 and dubbed Military Handbook-5 (or MIL-HDBK-5 for short). -
Section 1 Introduction to Alloy Phase Diagrams
Copyright © 1992 ASM International® ASM Handbook, Volume 3: Alloy Phase Diagrams All rights reserved. Hugh Baker, editor, p 1.1-1.29 www.asminternational.org Section 1 Introduction to Alloy Phase Diagrams Hugh Baker, Editor ALLOY PHASE DIAGRAMS are useful to exhaust system). Phase diagrams also are con- terms "phase" and "phase field" is seldom made, metallurgists, materials engineers, and materials sulted when attacking service problems such as and all materials having the same phase name are scientists in four major areas: (1) development of pitting and intergranular corrosion, hydrogen referred to as the same phase. new alloys for specific applications, (2) fabrica- damage, and hot corrosion. Equilibrium. There are three types of equili- tion of these alloys into useful configurations, (3) In a majority of the more widely used commer- bria: stable, metastable, and unstable. These three design and control of heat treatment procedures cial alloys, the allowable composition range en- conditions are illustrated in a mechanical sense in for specific alloys that will produce the required compasses only a small portion of the relevant Fig. l. Stable equilibrium exists when the object mechanical, physical, and chemical properties, phase diagram. The nonequilibrium conditions is in its lowest energy condition; metastable equi- and (4) solving problems that arise with specific that are usually encountered inpractice, however, librium exists when additional energy must be alloys in their performance in commercial appli- necessitate the knowledge of a much greater por- introduced before the object can reach true stabil- cations, thus improving product predictability. In tion of the diagram. Therefore, a thorough under- ity; unstable equilibrium exists when no addi- all these areas, the use of phase diagrams allows standing of alloy phase diagrams in general and tional energy is needed before reaching meta- research, development, and production to be done their practical use will prove to be of great help stability or stability. -
Chapter 18 Solutions and Their Behavior
Chapter 18 Solutions and Their Behavior 18.1 Properties of Solutions Lesson Objectives The student will: • define a solution. • describe the composition of solutions. • define the terms solute and solvent. • identify the solute and solvent in a solution. • describe the different types of solutions and give examples of each type. • define colloids and suspensions. • explain the differences among solutions, colloids, and suspensions. • list some common examples of colloids. Vocabulary • colloid • solute • solution • solvent • suspension • Tyndall effect Introduction In this chapter, we begin our study of solution chemistry. We all might think that we know what a solution is, listing a drink like tea or soda as an example of a solution. What you might not have realized, however, is that the air or alloys such as brass are all classified as solutions. Why are these classified as solutions? Why wouldn’t milk be classified as a true solution? To answer these questions, we have to learn some specific properties of solutions. Let’s begin with the definition of a solution and look at some of the different types of solutions. www.ck12.org 394 E-Book Page 402 Homogeneous Mixtures A solution is a homogeneous mixture of substances (the prefix “homo-” means “same”), meaning that the properties are the same throughout the solution. Take, for example, the vinegar that is used in cooking. Vinegar is approximately 5% acetic acid in water. This means that every teaspoon of vinegar contains 5% acetic acid and 95% water. When a solution is said to have uniform properties, the definition is referring to properties at the particle level. -
Chapter 4 Solution Theory
SMA5101 Thermodynamics of Materials Ceder 2001 Chapter 4 Solution Theory In the first chapters we dealt primarily with closed systems for which only heat and work is transferred between the system and the environment. In the this chapter, we study the thermodynamics of systems that can also exchange matter with other systems or with the environment, and in particular, systems with more than one component. First we focus on homogeneous systems called solutions. Next we consider heterogeneous systems with emphasis on the equilibrium between different multi-component phases. 4.1 WHAT IS A SOLUTION? A solution in thermodynamics refers to a system with more than one chemical component that is mixed homogeneously at the molecular level. A well-known example of a solution is salt water: The Na+, Cl- and H2O ions are intimately mixed at the atomic level. Many systems can be characterized as a dispersion of one phase within another phase. Although such systems typically contain more than one chemical component, they do not form a solution. Solutions are not limited to liquids: for example air, a mixture of predominantly N2 and O2, forms a vapor solution. Solid solutions such as the solid phase in the Si-Ge system are also common. Figure 4.1. schematically illustrates a binary solid solution and a binary liquid solution at the atomic level. Figure 4.1: (a) The (111) plane of the fcc lattice showing a cut of a binary A-B solid solution whereby A atoms (empty circles) are uniformly mixed with B atoms (filled circles) on the atomic level. -
Evolution of the Eutectic Microstructure in Chemically Modified and Unmodified Aluminum Silicon Alloys
Evolution of the Eutectic Microstructure in Chemically Modified and Unmodified Aluminum Silicon Alloys by Hema V. Guthy A Thesis Submitted to the Faculty of the WORCESTER POLYTECHNIC INSTITUTE in partial fulfillment of the requirements for the Degree of Master of Science in Materials Science and Engineering April 2002 APPROVED: _____________________________________________ Prof. Makhlouf. M. Makhlouf, Major Advisor _____________________________________________ Prof. Richard D. Sisson, Jr Materials Science and Engineering Group Head i ABSTRACT Aluminum-silicon alloys are an important class of commercial non-ferrous alloys having wide ranging applications in the automotive and aerospace industries. Typical aluminum-silicon alloys have two major microstructural components, namely primary aluminum and an aluminum-silicon eutectic. While nucleation and growth of the primary aluminum in the form of dendrites have been well understood, the understanding of the evolution of the Al-Si eutectic is still incomplete. The microstructural changes caused by the addition of strontium to these alloys are another important phenomenon that still puzzles the scientific community. In this thesis, an effort has been made to understand the evolution of the Al-Si eutectic in the presence and absence of strontium through two sets of experiments: (1) Quench experiments, and (2) sessile drop experiments. The quench experiments were designed to freeze the evolution of the eutectic after various time intervals along the eutectic plateau. The sessile drop experiments were designed to study the role of surface energy in the formation of the eutectic in the presence and absence of strontium. Both experiments were conducted on high purity alloys. Using observations from these experiments, possible mechanism(s) for the evolution of the Al-Si eutectic and the effects of strontium on modifying the eutectic morphology are proposed. -
Solid-Liquid Partition Coefficients, Rcjs: What's the Value and When Does It Matter?
Radioprotection - Colloques, volume 37, Cl (2002) Cl-225 Solid-liquid partition coefficients, rCjs: What's the value and when does it matter? M.I. Sheppard and S.C. Sheppard ECOMatters, 24 Aberdeen Avenue, P.O. Box 430, Pinawa, Manitoba ROE 1L0, Canada Abstract. Environmental risk assessments binge on our ability to predict the fete and mobility of radionuclides and metals in terrestrial soils and aquatic sediments. Solid-solution partitioning (the Kd approach), despite its shortcomings, has been used extensively. Much attention has been devoted to grooming the existing key compendia for values applicable for each nuclear risk assessment carried out worldwide. This appears to be an important task. For example, soil Kd values for a single nuclide can vary over several orders of magnitude, yet the soil Kd value is the most important parameter in the soil leaching model. Similarly, plant uptake depends primarily on the nuclide present in solution phase. Despite this apparent sensitivity, our experience has shown that risk assessors dwell too much on the precision of the Kd value for all nuclides. This paper discusses the effect of the Kd value on the resulting soil concentration during leaching and identifies those radionuclides and assessment conditions where a precise value is required. Only those radionuclides that typically have a soil Kd value of 10 LAg or less (Tc, CL I, As) need be accurately described for timeframes of up to 10,000 years for desired soil model prediction outcomes (soil concentrations within two-fold). 1. INTRODUCTION Environmental risk assessments of radionuclides and metals are key to acceptance and sustainability of industrial progress and the disposal of industry's wastes, particularly in the nuclear and imriing and metal smelting industry.