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Tellurite And Fluorotellurite Glasses For Active And Passive

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4. Thermal properties and glass stability; MDO 94<br />

indicate the degree of fit between the generated peaks and the data (the closer χ 2 is to 0<br />

and R 2 to 1, the better the Gaussian fit correlates with the data). Fig. (4.8) illustrates this.<br />

<br />

o C<br />

Data: Data1_B<br />

Model: Gauss<br />

DTA data<br />

Gaussian fit<br />

Peak 1<br />

Peak 2<br />

Chi^2 = 0.00538<br />

R^2 = 0.99658<br />

y0 0 ±0<br />

xc1 410.32613 ±3.17816<br />

w1 21.6052 ±1.8686<br />

A1 49.06648 ±16.99576<br />

xc2 420.84542 ±0.4698<br />

w2 16.16155 ±0.85662<br />

A2 49.33312 ±16.89197<br />

360 380 400 420 440<br />

Temperature / o C<br />

Fig. (4.8): DTA trace of glass MOF005 (70TeO2-10Na2O-20ZnF2 (mol. %)) showing the<br />

crystallisation peak with background removed and Gaussian deconvolution performed<br />

(where xcn is the position of peak n, wn the half width of peak n, and An the area of peak<br />

n, with 100% confidence limits displayed).<br />

Modelling equations<br />

Nucleation and growth processes, such as glass devitrification, generally follow the<br />

Johnson-Mehl-Avrami (JMA) equation [3]:<br />

m<br />

F = 1−<br />

exp( −k<br />

t )<br />

(4.1)<br />

t<br />

c

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