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Thermal Equilibrium Diagrams

The Solidification of Metals

A pure metal solidifies at a fixed temperature, a fact which can be checked by plotting a cooling curve. A cooling curve may be obtained  by melting a small amount of a metal and recording the temperature drop at suitable time intervals as this metal solidifies (the metal must be allowed to cool very slowly i.e. under equilibrium conditions) . We can then plot a graph of temperature against time to give us the cooling curve for that particular metal.


 

 

 

 

 

 

 

At temperatures above and below line "ab" the curve falls smoothly without "kinks". When the solidification temperature is reached, the temperature remains CONSTANT for some time thus giving rise to the step "ab" in the curve.
Down to "a" the temperature of the liquid drops in a regular manner as heat is being lost to the surroundings at a nearly constant rate. The step "ab" is due to
Down to "a" the temperature of the liquid drops in a regular manner as heat is being lost to the surroundings at a nearly constant rate. The step "ab" is due to latent heat. This leads to zero change in temperature until the last drop of liquid has solidified. After no more latent heat is available the solid continues to cool in a regular manner giving the smooth curve "bc".
 
 

The solidification of Alloys

Unlike pure metals alloys solidify over a range of temperatures. Below the temperature at which the alloy begins to solidify and the temperature when it is completely solidified  the alloy is in a "pasty" state gradually becoming stiffer as the lower limit of the solidification range is approached.
Therefore, for any alloy there is a definite temperature at which solidification begins and an equally definite point where it ends. These two points are known as the "arrest points". As two metals may be alloyed in many different compositions i.e. you could have 80% A and 20% B or 60%A and 40% B  it stands to reason that the cooling curves for all these alloys will be different. Shown here are a selection of cooling curves for an alloy of lead (Pb) and tin (Sn).

 

 

 

 

 

Note that all these alloys possess two arrest points with the exception of  the 62% TIN alloy (tin mans solder). This alloy has only one single arrest point as the alloy does not go through a pasty state (like a pure metal) it goes directly from a liquid to a solid state . This is called the EUTECTIC alloy.

 

Creating Thermal Equilibrium Diagrams

Instead of dealing with several different cooling curves for any alloy a quicker graph has been created using the various arrest points of all the alloys. When these points are marked on a graph and joined up we get a thermal equilibrium diagram (T.E.D.).

Let us take a  closer look at this diagram.


 
 
 

 

 

 

As you can see the area in green is the liquid state while the area in black is the solid state while the area in yellow is the pasty state which consists of a solid phase and a liquid phase. A very important point to note is that the line joining all the points where the liquid begins to solidify is known as the Liquidus line while the line joining all the points where solidification is just complete is known as the Solidus line. Now that you know how the diagram is created lets see where it is used.
 

For example: if we want to find at what temperature 60% Copper fully solidifies at in an alloy of Copper and Nickel. Firstly we must graph the thermal equilibrium diagram for the alloy of copper and tin.

 

 

 

 

 

 

 

 

This diagram shows the thermal equilibrium diagram for the alloy of copper (Cu) and nickel (Ni). In order to find what temperature 60% copper solidifies at we simply draw a vertical line from 60% copper until it hits the solidus line and at this is the point where 60% copper has fully solidified.

Note:

Thermal equilibrium diagrams are the metallurgist's maps. Just as a person considering climbing or walking in a new area would obtain and study an Ordnance Survey map in order to fully plan the outdoor pursuit, so also should a student of engineering be able to comprehend and appreciate thermal equilibrium diagrams.
 

                       

Original source and acknowledgement to: Michael Walshe 

For further information follow: 

http://www.ul.ie/~walshem/fyp/mainmenu.htm

http://www.matter.org.uk/matscicdrom/manual/pd.html

 

 

 

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Last modified: October 02, 2007