Analytic And Concepts



Introduction
Basic Concepts and Definitions
Phase Equilibrium and Binary Isomorphous
Binary Eutectic
Eutectoid and Peritectic
Terms
The Writers and their Contracts



Introduction


Since the early foundations of phase diagrams scientists and engineers have found them extremely helpful indescribing the various forms a certain material can take. By examining a phase diagram one can gain some understanding into the materails mechanical properties.

You may find that the analytical and concepts section of this web presentation closely parallels Chapter 9 of Callister's Materials Science and Engineering:An Introduction.This is because the basic premise of this page is to reinforce learned concepts while offering sections of more depth and knowledge. Many of these sections are referenced with hypertext links, which are written in blue and undertlined. Links are also provided to related material such as experiments and applications. Comments and suggestions are always welcome, and my address is provided at the bottom of the document

Definitions and Basic Concepts

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Let's begin by using basic concepts and definitions to understand the phase digram.
Callister defines phase as "a homogeneous portion of a system that has uniform physical and chemical characteristics." A system is (def is forthcoming). If more than one phase is present in a system each will have its own properties. A phase can refer to a chemical or physical difference. However, both differences do not neccessarily have to exist. For instance, water and ice are considered separte phases though thier chemical compositions are the same. Aso a component with two separate crystal structures can be considered to have two phases. A component is either a pure metal or a compound of which an alloy is composed.

When a homogeneous system is described, one is usually refering to the fact that only one phase is present in the system. A heterogeneous system is usually refering to a system composed of multiple phases.




Microstrusture

SCIVIZ:Picture of microstructure.

Now let's refer to the very heart of the phase diagram and indeed our understanding of systems, The microstructure. The microstructure is so named because a microscope can be used to view the properties of tis structure. THis miscoscopy can be in the form of an optical or electron microscope.




Phase equilibia

Equilibrium
Free energy- Brief description
KURT AND IKE: Discussion of the thermodynamic derivations involved in generating phase digrams. Link will be provided to their page.
For a better description please see their contracts,listed at the bottom.
Phase equilibrium-Phase digrams
SCI VIZ: Image of Cu-Ni Digram(Binary isomorphous systems)



Interpretation of phase digrams

Phases present
determination of phase compositions
determination of phase amounts
EXAMPLES:Lever rule-Tie lines, Isn't examples doing this?
CHRIS LATTIN:Diffraction and phases(constant temp)
JAMES MYERS: gifs generated using XPOW and page setup?
SCIVIZ: Cu-Zn phase digram, diffraction patterns (possibly). This would come from a book that I have called "Structure of Metals"



Binary Eutectic

Eutectic Phase Diagrams

SCI VIZ:image of a eutectic binary phase diagram

When a binary system deviates from the behavior of ideal solutions, the resulting phase diagram looks like the one shown above. First note that it has all the same regions as a two-phase diagram, namely the alpha, beta, and liquid regions. In addition, there are the alpha+L, beta+L, and alpha+beta regions, resulting from the limited solubility of the two components. The most important feature of this kind of system is the invariant point, where all three phases are in equilibrium. That this is indeed a point can be verified with the Gibbs phase rule. The composition at which the invariant point appears is called the eutectic composition. The corresponding temperature is refered to as the eutectic temperature. Reactions at this composition are called eutectic reactions (eutectic means easily melted).

Several different types of microstructures arise in a eutectic system. These depend on the composition in question. The simplest case is when the maximum solubility of a compoment at room temperature has not been exceeded. In this case, upon cooling, the resulting microstructure consists simply of grains of the single phase.

SCI VIZ: image of the various microstructures

The second case is when the composition exceeds the solubility limit but does not reach the solubility limit at the eutectic temperature. In this case, upon cooling, the same microstructure as in the previous casse results. However, when the temperature reaches the solvus line, the solubility of the alpha phase is exceeded and small grains of the beta phase will start to appear.

The final case of interest involves solidification at the eutectic temperature. As the liquid cools, it hits the eutectic temperature. At that point, solidification initiates and both phases appear. This structure usually consists of alternating layers of the alpha and beta phases. For a more detailed description, see vik's page.

Microconsituents
Gibb's Phase rule. This portion was just added so it is a bit rough around the edges. But, CHRIS LATTIN: Derivation of Gibb's Phase rule pending what Grace is doing.
GRACE GAMBOA: her page on Gibb's phase rule will be utilized and referebced in this section.


Eutectoid and Peritectic

intermediate phases

So far, we have considered diagrams with only two solid phases. Such cases are termed terminal solid solutions. Howver, other alloy systems often involve intermediate phases, and such systems are named intermediate solid solutions. One example is the ---Cu-Zn--- system, which contains five peritectic points.

For some sytems, instead of an intermediate phase, an intermetallic compound of specific composition forms. One example is the Mg2Pb compound that occurs at 19%wt Mg and 81%wt Pb. These compound have to be represented on the phase diagram as a vertical line, since the composition is a specific value.

Another interesting reaction that occurs for some systems is the peritectic reaction. This involves one solid phase transforming into another phase plus a liquid phase upon heating.

---For more info, see Vik's page.
SCIVIZ: Fe-C phase digram (See section 9-14 Callister)




Conclusion


"This is where it ends"-BNL.
CHRIS LATTIN: A wrap up of what we discussed in this page

Terms






If anyone has any suggestions, call me (552-6392) or write me by pressing the link titled Chris Lattin at the bottom of the page. Thank you all for your patience.


The group and their :"contracts": Chris Lattin Kurt Eaton Victor Simkovic Ike Eikenbaulm
This page was created/compiled by Chris Lattin
Last update:04/15/96


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