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Crystal Growth Mineral Formation & Stability Gibbs Free Energy ...

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• Phase = physically separable portion of the system that is<br />

chemically and physically distinct from everything else in<br />

the system (e.g. one phase is present when sugar & milk is<br />

dissolved in the coffee, but two phases exist when the<br />

sugar is sitting on the bottom of the cup instead of<br />

dissolved in the coffee)<br />

• Components = each phase is composed of 1+ components;<br />

chosen by scientist, but you try to choose as few<br />

components as possible that describe your entire system<br />

http://www.tulane.edu/~sanelson/eens211/mineral_stability.htm<br />

1<br />

3<br />

http://csmres.jmu.edu/geollab/Fichter/IgnRx/BinryEu.html<br />

2<br />

A<br />

B<br />

AB<br />

BC<br />

BCA<br />

E. Goeke, Fall 2006<br />

E. Goeke, Fall 2006<br />

E. Goeke, Fall 2006<br />

Phase Rule<br />

• Phase rule = used to determine how many variables &<br />

equations are required to describe a system that’s in<br />

equilibrium<br />

• Variables:<br />

– Number of chemical components<br />

– Extensive variables (pressure & temperature)<br />

• F = C + 2 - P<br />

– F = degrees of freedom or variance of the system<br />

– C = number of components (as defined on the last slide)<br />

– P = number of phases in equilibrium<br />

– 2 comes from P & T<br />

2 Component Eutectic Systems<br />

http://csmres.jmu.edu/geollab/Fichter/IgnRx/BinryEu.html<br />

http://csmres.jmu.edu/geollab/Fichter/IgnRx/BinryEu.html<br />

E. Goeke, Fall 2006<br />

• Liquidus = line<br />

that separates all<br />

melt and melt +<br />

xtal<br />

• Solidus = line that<br />

separates melt +<br />

xtal and all xtal<br />

• Eutectic = point at<br />

which melt + A +<br />

B exists<br />

E. Goeke, Fall 2006<br />

E. Goeke, Fall 2006<br />

E. Goeke, Fall 2006, 12:041 <strong>Mineral</strong>ogy 2

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