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William Stratton Ph.D. Thesis - MINDS@UW Home

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Specific Volume<br />

T g<br />

slow<br />

Temperature<br />

T g<br />

fast<br />

T m<br />

Specific heat<br />

Amorphous<br />

solid<br />

Crystal<br />

T g<br />

Supercooled<br />

liquid<br />

T m<br />

Temperature<br />

Liquid<br />

(a) (b)<br />

Figure 1.1: Schematic plots of physical changes associated with Tg. Tg depends on the cooling<br />

rate of the solid, with a faster cooling rate leading to a higher Tg than a slower cooling rate. The<br />

continuous change of the (a) specific volume (first derivative of the Gibbs free energy) and the<br />

discontinuous change of the (b) specific heat (second derivative of the Gibbs free energy) show<br />

that Tg is a second order phase transformation. Between the melting temperature Tm and Tg the<br />

amorphous material is a supercooled liquid, meaning it is below the melting point of the material<br />

but can still flow. Figures adapted from (a) 9 and (b) 10 .<br />

various organic and inorganic materials. Tg is not a fixed material property, as it can change<br />

with the cooling rate 9 or the thermal history of the material 11,12 .<br />

2

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