Tellurite And Fluorotellurite Glasses For Active And Passive

Tellurite And Fluorotellurite Glasses For Active And Passive Tellurite And Fluorotellurite Glasses For Active And Passive

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4. Thermal properties and glass stability; MDO 89 has no fundamental meaning. The solidus and liquidus temperatures (Ts and Tl respectively) were obtained by the same interpolation method as Tg described above. Fig. (4.5) illustrates this. ←← Endothermic ∆∆T / °C Exothermic →→ T s 450 460 470 480 490 Temperature / °C Fig. (4.5): DTA trace of glass MOF005 (70TeO2-10Na2O-20ZnF2 (mol. %)), showing interpolation of the solidus temperature, Ts, and liquidus temperature, Tl. Transformations of this kind (melting) are reversible and obey Le Chatelier’s principle [4] which implies, for example, that ice-water will stay at 0°C until it fully transforms to ice or water. Any heat added to the system contributes to the phase change rather than a change in temperature, as long as both phases exist. For this reason melting transformations have a distinct shape in DTA traces. In a DTA scan at constant heating rate, where a solid sample fuses, the reference sample increases in temperature at the preprogrammed heating rate, while the sample temperature remains at the melting temperature until the transformation is complete. Therefore, when ∆T vs. reference temperature is plotted, a linear deviation from the T l

4. Thermal properties and glass stability; MDO 90 baseline is seen on the leading edge of the endotherm. The peak of the endotherm represents the temperature at which melting terminates and the transformation is complete. At this point the sample is at a lower temperature than its surroundings and it heats at an accelerated rate, returning to the temperature of its surroundings. This is seen on the DTA curve as a return to the baseline. The return portion of the curve follows an exponential decay, where the sample initially rapidly catches up with its surroundings and then more slowly as the sample and surroundings temperatures approach one another. Fig. (4.6) shows the difference in melting endotherm if reference or sample (ideal and actual) temperature is plotted on the x-axis against ∆T. Ideally the melting portion of the DTA curve of a single solid phase would correspond to a vertical line, as the sample temperature would not change until melting is complete. For thermocouple junctions immersed within the sample, this ideal case is observed. Most contemporary DTAs however (including the one used in this study), are designed with the thermocouple junction in contact with the sample holder, and this holder tends to increase in temperature to a certain degree under the influence of the surroundings, which are rising in temperature. For this set-up the DTA curve of the sample has a sharper rising slope and broader exponential drop-off than that of the reference. An important point to note is that although melting is complete at the peak of the endotherm, it is still the entire area under the peak which represents the latent heat of fusion. The enthalpy (H) of the reference increases during the time of the transformation since the reference temperature increases ( ∆H = C dT , where T is the temperature and Cp is the molar heat capacity at constant pressure) as dictated by the heating rate. However, during sample melting there is no enthalpy change for the sample due to ∫ T 0 p

4. Thermal properties and glass stability; MDO 90<br />

baseline is seen on the leading edge of the endotherm. The peak of the endotherm<br />

represents the temperature at which melting terminates and the transformation is<br />

complete. At this point the sample is at a lower temperature than its surroundings and it<br />

heats at an accelerated rate, returning to the temperature of its surroundings. This is seen<br />

on the DTA curve as a return to the baseline. The return portion of the curve follows an<br />

exponential decay, where the sample initially rapidly catches up with its surroundings<br />

and then more slowly as the sample and surroundings temperatures approach one another.<br />

Fig. (4.6) shows the difference in melting endotherm if reference or sample (ideal and<br />

actual) temperature is plotted on the x-axis against ∆T.<br />

Ideally the melting portion of the DTA curve of a single solid phase would correspond<br />

to a vertical line, as the sample temperature would not change until melting is complete.<br />

<strong>For</strong> thermocouple junctions immersed within the sample, this ideal case is observed.<br />

Most contemporary DTAs however (including the one used in this study), are designed<br />

with the thermocouple junction in contact with the sample holder, and this holder tends to<br />

increase in temperature to a certain degree under the influence of the surroundings, which<br />

are rising in temperature. <strong>For</strong> this set-up the DTA curve of the sample has a sharper rising<br />

slope and broader exponential drop-off than that of the reference.<br />

An important point to note is that although melting is complete at the peak of the<br />

endotherm, it is still the entire area under the peak which represents the latent heat of<br />

fusion. The enthalpy (H) of the reference increases during the time of the transformation<br />

since the reference temperature increases ( ∆H<br />

= C dT , where T is the temperature<br />

and Cp is the molar heat capacity at constant pressure) as dictated by the heating rate.<br />

However, during sample melting there is no enthalpy change for the sample due to<br />

∫<br />

T<br />

0<br />

p

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