Introduction to materials science, chapter 9, phase diagrams university of tennessee, dept. Lecture notes for chapter 5 arizona state university. Range of properties l102 to 106 l sun t3000 to 50,000 k r0. A phase diagram is a graphical representation of the equilibrium relations among phases, typically as a function of one or more intensive variables. Before taking notes on an audio lecture, participants were either given a skeletal outline, an illustrative diagram, or no learning aid at all. Suppose that a customer wants to return an item bought through a mail order. An unlabelled graph is an isomorphism class of graphs. Classifications of metal alloys fe3 c cementite800 deformation are termed metal alloys steels ferrous nonferrous cast irons cu al mg ti. Partial molar quantities properties such as, u, h, s, g, a, etc. The following lecture notes are available files are pdffiles unless indicated otherwise new. Y such that every edge of g has one vertex in x and one in y. Msc in economics for development macroeconomics for development week 2 class sam wills department of economics, university of oxford samuel.
This diagram shows the regions of stability of different phases as a function of temperature and pressure. Phase diagram see graph that idrew in lecture by hand or figure 8. Introduction to materials science chapter 9, phase diagrams 6 phase diagramis a graphical representation of all the equilibrium phases as a function of temperature, pressure, and composition. Overview of circuit analysis, electrical quantities, ideal basic circuit element, sign conventions. Enhancing learning during lecture notetaking using outlines. Feb 16, 2018 this lecture discusses the isomorphous phase diagram and lever rule. Phases a phase is a homogeneous portion of a system with uniform physical and chemical characteristics, in principle separable from the rest of the system. Lecture 9 ternary systems monday, february 14th, 2005 c 3. Chem 340 lecture notes 9 fall 20 phase equilibria chap. Phase diagram introduction back much of the simple systematics of phase diagrams is covered in some unpublished course notes that rp built up over the years, reaching the form that they take below in 1991.
Lecture notes phase diagram implications it is easy to get bogged down in the technical details of phase diagrams and loose sight of the goal of explaining igneous rocks. Learning objectives 2 phase diagrams be able to read a phase diagram be able to identify the phases present at a given point be able to calculate how much of those phases there are be able to predict the microstructures from the phase diagram 3 mixing understand the thermodynamic basis of mixing understand the origin of the miscibility gap be able to use the phase. Binary phase diagrams please refer to the phase diagrams handed out in class. The customer first calls the companys telesales to request a return. We first consider simple transitions like phase transitions that only involve one thing.
When developed properly, this graphical view of a projects activities conveys critical schedule characteristics required to effectively analyze and adjust schedules thus resulting in accurate and feasible schedules. The book derives an expression for the change in free energy of a substance as a function of temperature and pressure change. Is 460 lecture notes lecture 4 professor yong tan 4 exercise consider the following process and draw an activity diagram with swimlane. Msc in economics for development macroeconomics for development. Apr 11, 2011 phase diagram according to the red line on the phase diagram,if we apply enough pressure to ice, it will melt into liquid water. Lecture 4 activity diagram university of washington. The lecture notes have been completed in ws 20012002 and revised and improved in ws. The rest of the crust is grouped under the term rock. The composition lines on the triangle is constructed fromprojections of surfaces. In this chapter we will take the ideas of the second law and apply them further.
This lecture discusses the isomorphous phase diagram and lever rule. The term soil can have different meanings, depending upon the field in which it is considered. For example, exponential growth is a growth pattern that is. Quantum field theory damtp university of cambridge. Network diagrams are schematic displays of project schedule activities and the interdependencies between these activities. Drude theory of metals university of california, irvine. A graph g is bipartite if there is a partition v g x. Landsman institute for mathematics, astrophysics, and particle physics radboud university nijmegen. Phase diagram according to the red line on the phase diagram,if we apply enough pressure to ice, it will melt into liquid water. A read is counted each time someone views a publication summary such as the title, abstract, and list of authors, clicks on a figure, or views or downloads the fulltext. They provide us with the knowledge of phase composition and phase stability as a function of temperature t, pressure p and composition c. Phases of interest to petrologists include minerals, liquids, and gasses. The diagram you mostly find associated with different phases of a substance is the socalled phase. Ironcarbon steel phase diagram w proeutectoid step duration.
A cambridge university course with lecture notes, covering the canonical. A binary phase diagram plots the different states of matter as a function of temperature for a system at constant pressure with varying composition of two components or elements. Enhancing learning during lecture notetaking using outlines and illustrative diagrams article pdf available in journal of applied research in memory and cognition 42 march 2015 with 1,087. These are lecture notes that are based on the lectures from a class i taught on the topic of spectral graph methods at uc berkeley. Sequences and series lecture notes introduction although much of the mathematics weve done in this course deals with algebra and graphing, many mathematicians would say that in general mathematics deals with patterns, whether theyre visual patterns or numerical patterns. Ling 409, partee lecture notes, lecture 3 september 8, 2003 p. Thermodynamics describe processes that involve changes in temperature, transformation of energy, relationship between heat and work from greek, thermos heat,anddynamis power the results of thermodynamics are essential for other fields of physics and for chemistry, chemical engineering, cell biology, biomedical engineering, and materials science. Department of mca lecture note microprocessor and assembly. Phase equilibria and phase diagrams phase diagrams are one of the most important sources of information concerning the behavior of elements, compounds and solutions. Much of the material in these notes is from the books graph theory by reinhard. The reason why the structural physicist has so much to offer here is that, in a. G tm pure a phase diagramis a graphical representation of all the equilibrium phases as a function of temperature, pressure, and composition. White and malleable cast irons the lowsilicon cast irons phase transformations on the development of microstructure and properties of metallic materials.
Phase diagram see graph that i drew in lecture by hand or figure 8. Activities result in some action actions encompass calling another operation, sending a signal, creating or destroying an object, or some pure computation, such as evaluating an expression figure 1. The diagram you mostly find associated with different phases of a substance is the socalled phase diagram. Below you can find the pdf files of handwritten lecture notes for colemans. Ternary phase diagram a ternary or three component phase diagram has the form ofan triangular prism with an equilateral triangle as a base. Ternary eutectic di an fo t m anorthite forsterite diopside note three binary eutectics no solid solution in this example ternary eutectic m which is the lowest temperature in the system at 12700c. However, with an understanding of the basics of crystallization and melting obtained through the study of phase diagrams for simple systems, it is possible to begin to. Pdf enhancing learning during lecture notetaking using.
Monday, february 21, 2005 page 3 of 11 4 reaction quotient when the mass action expression is not equal to k, its value if denoted q. After the lecture, participants were given a free recall test and a shortanswer test that probed understanding of target concepts requiring explanation. In the following diagram for all temperatures below t b the liquid is stable and for all temperatures below t m the solid is stable. Phase diagram pressuretemperature phase diagram for h2o.
For one component systems, the equilibrium state of the system is defined by two independent parameters p and t, t and v, or p and v. Lecture30 phase diagrams last time common tangent construction construction of phase diagrams from gibbs free energy curves if the temperature in figure 285 is decreased a little further. Ternary phase diagrams at end of todays lecture notes lecture 19 binary phase diagrams 1 of 16 112305. Pure components are at each vertex, sides are binarycompositions and ternary compositions are within the triangle. The major regions of the hertzsprungrussell diagram main sequence most nearby stars 85% lie along a diagonal band called the main sequence. Note that contains a path means that the graph has a subgraph that is isomorphic to some. Videotapes of the lectures are archived online here introduction lecture 1. Phase diagrams nptel pages 1 25 text version fliphtml5.
Friday, 23pm, weeks 1,38 mt 18 october 2011 macro for development class 2 1. Callister, chapter 9 and 10 a phase in a material is a region that differ in its microstructure and or composition from another region homogeneous in crystal structure and atomic arrangement have same chemical and physical properties throughout. Suppose we make a mixture with the following concentrations. Mar 05, 2015 lecture series on materials science by prof. The addition of an alloying element represents another degree of freedom or variable, which thus allows two distinct forms or phases to. Relations and functions much of mathematics can be built up from set theory this was a project which was carried out by philosophers, logicians, and mathematicians largely in the first half of the 20th century. Lecture notes separation processes laboratory eth zurich. To a geologist, it is the material in the relative thin zone of the earths surface within which roots occur, and which are formed as the products of past surface processes.