Viscous liquid

<h2 id="working-points-in-glass-processing">Working points in glass processing</h2>

<p>The mechanical properties of glass-forming liquids depend primarily on the viscosity. Therefore, the following working points are defined in terms of viscosity. The temperature is indicated for industrial <a href="/facts/Soda_lime_glass/CFYbacLU">soda lime glass</a>:
<a class="footnote-ref" id="fnref:1" href="#fn:1"><sup>1</sup></a>
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<table><tbody><tr><th>designation</th><th>viscosity (Pa.s)</th><th>temperature ( °C, in soda lime glass)</th></tr><tr><td>melting point<a class="footnote-ref" id="fnref:2" href="#fn:2"><sup>2</sup></a></td><td>101</td><td>1300</td></tr><tr><td>working point</td><td>103</td><td>950-1000</td></tr><tr><td>sink point</td><td>103.22</td><td></td></tr><tr><td>flow point</td><td>104</td><td>~900</td></tr><tr><td>softening point (Littleton)<a class="footnote-ref" id="fnref:3" href="#fn:3"><sup>3</sup></a></td><td>106.6</td><td>600</td></tr><tr><td>softening point (dilatometric)</td><td>~1010.3</td><td>>~500</td></tr><tr><td><a href="/facts/Annealing_(glass)/VQYpAA4z">annealing point</a></td><td>~1012</td><td><~500</td></tr><tr><td><a href="/facts/Glass_transition/yVl3QzsT">transition point</a></td><td>1012..1012.6</td><td><~500</td></tr><tr><td><a href="/facts/Annealing_(glass)/VQYpAA4z">strain point</a></td><td>~1013.5</td><td><~500</td></tr></tbody></table>
<h2 id="fragile-strong-classification">Fragile-strong classification</h2>
<p class="note">Main article: <a href="/facts/Fragility_(glass_physics)/0zBfWJja">Fragility (glass physics)</a></p>
<p>In a widespread classification, due to chemist <a href="/facts/Austen_Angell/63ScS1TV">Austen Angell</a>, a glass-forming liquid is called strong if its viscosity approximately obeys an <a href="/facts/Arrhenius_equation/TdAeo3Lf">Arrhenius law</a> (log η is linear in 1/<i>T</i> ). In the opposite case of clearly non-Arrhenius behaviour the liquid is called fragile. This classification has no direct relation with the common usage of the word "fragility" to mean <a href="/facts/Brittleness/cn27H2vg">brittleness</a>.
Viscous flow in amorphous materials is characterised by deviations from the Arrhenius-type behaviour: the activation energy of <a href="/facts/Viscosity/QLVfrdCz">viscosity</a> Q changes from a high value QH at low temperatures (in the glassy state) to a low value QL at high temperatures (in the liquid state). Amorphous materials are classified accordingly to the deviation from Arrhenius type behaviour of their viscosities as either strong when QH-QL<QL or fragile when QH-QL≥QL. The fragility of amorphous materials is numerically characterized by the Doremus’ fragility ratio RD=QH/QL .   Strong melts are those with (RD-1) < 1, whereas fragile melts are those with (RD-1) ≥ 1.  Fragility is related to materials bond breaking processes caused by thermal fluctuations. Bond breaking modifies the properties of an amorphous material so that the higher the concentration of broken bonds termed configurons the lower the viscosity. Materials with a higher enthalpy of configuron formation compared with their enthalpy of motion have a higher Doremus fragility ratio, conversely melts with a relatively lower enthalpy of configuron formation have a lower fragility.<a class="footnote-ref" id="fnref:4" href="#fn:4"><sup>4</sup></a>
More recently, the fragility has been quantitatively related to the details of the interatomic or intermolecular potential, and it has  been shown that steeper interatomic potentials lead to more fragile liquids.<a class="footnote-ref" id="fnref:5" href="#fn:5"><sup>5</sup></a>
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<h2 id="mode-coupling-theory">Mode-coupling theory</h2>
<p>The microscopic dynamics at low to moderate viscosities is addressed by a mode-coupling theory, developed by <a href="/facts/Wolfgang_G%25C3%25B6tze/E85DsKPF">Wolfgang Götze</a> and collaborators since the 1980s. This theory describes a slowing down of structural relaxation on cooling towards a critical temperature Tc, typically located 20% above Tg.
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<h2 id="notes-and-sources">Notes and sources</h2>
<h3>Textbooks</h3>
<ul><li>Götze,W (2009): Complex Dynamics of glass forming liquids. A mode-coupling theory. Oxford: Oxford University Press.</li>
<li>Zarzycki,J (1982): Les Verres et l'état vitreux. Paris: Masson. Also available in English translations.</li></ul>
<h3>References</h3>

<h2 id="references">References</h2>

<ol>
<li id="fn:1"><p>Zarzycky (1982), p.219,222 <a href="#fnref:1" class="footnote-back-ref">↩</a></p></li>
<li id="fn:2"><p>This is not the melting point of the concurrent crystalline phase.
That melting point is rather called liquidus temperature;
it is about 1000..1040 deg C in soda lime glass. <a href="/wiki/Liquidus_temperature" target="_blank">/wiki/Liquidus_temperature</a> <a href="#fnref:2" class="footnote-back-ref">↩</a></p></li>
<li id="fn:3"><p>J. T. Littleton, J. Am. Ceram. Soc., 18, 239 (1935). <a href="#fnref:3" class="footnote-back-ref">↩</a></p></li>
<li id="fn:4"><p>M.I. Ojovan, W.E. Lee. Fragility of oxide melts as a thermodynamic parameter. Phys. Chem. Glasses, 46, 7-11 (2005). <a href="#fnref:4" class="footnote-back-ref">↩</a></p></li>
<li id="fn:5"><p>Krausser, J.; Samwer, K.; Zaccone, A. (2015). "Interatomic repulsion softness directly controls the fragility of supercooled metallic melts". Proceedings of the National Academy of Sciences of the USA. 112 (45): 13762–13767. doi:10.1073/pnas.1503741112. PMC 4653154. PMID 26504208. <a href="https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4653154" target="_blank">https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4653154</a> <a href="#fnref:5" class="footnote-back-ref">↩</a></p></li>
</ol>

Viscous liquid open-in-new

Viscous liquid