As a aqueous is supercooled, the aberration in anarchy amid the aqueous and solid appearance decreases. By extrapolating the calefaction accommodation of the supercooled aqueous beneath its bottle alteration temperature, it is accessible to account the temperature at which the aberration in entropies becomes zero. This temperature has been called the Kauzmann temperature.
If a aqueous could be supercooled beneath its Kauzmann temperature, and it did absolutely affectation a lower anarchy than the clear phase, the after-effects would be paradoxical. This Kauzmann absurdity has been the accountable of abundant agitation and abounding publications back it was aboriginal put advanced by Walter Kauzmann in 1948.20
One resolution of the Kauzmann absurdity is to say that there have to be a appearance change afore the anarchy of the aqueous decreases. In this scenario, the alteration temperature is accepted as the calorimetric ideal bottle alteration temperature T0c. In this view, the bottle alteration is not alone a active effect, i.e. alone the aftereffect of fast cooling of a melt, but there is an basal thermodynamic base for bottle formation. The bottle alteration temperature:
Tg → T0c as dT⁄dt → 0.
There are at atomic three added accessible resolutions to the Kauzmann paradox. It could be that the calefaction accommodation of the supercooled aqueous abreast the Kauzmann temperature calmly decreases to a abate value. It could aswell be that a aboriginal adjustment appearance alteration to addition aqueous accompaniment occurs afore the Kauzmann temperature with the calefaction accommodation of this new accompaniment getting beneath than that acquired by extrapolation from college temperature. Finally, Kauzmann himself bound the anarchy absurdity by postulating that all supercooled liquids have to accumulate afore the Kauzmann temperature is reached.
If a aqueous could be supercooled beneath its Kauzmann temperature, and it did absolutely affectation a lower anarchy than the clear phase, the after-effects would be paradoxical. This Kauzmann absurdity has been the accountable of abundant agitation and abounding publications back it was aboriginal put advanced by Walter Kauzmann in 1948.20
One resolution of the Kauzmann absurdity is to say that there have to be a appearance change afore the anarchy of the aqueous decreases. In this scenario, the alteration temperature is accepted as the calorimetric ideal bottle alteration temperature T0c. In this view, the bottle alteration is not alone a active effect, i.e. alone the aftereffect of fast cooling of a melt, but there is an basal thermodynamic base for bottle formation. The bottle alteration temperature:
Tg → T0c as dT⁄dt → 0.
There are at atomic three added accessible resolutions to the Kauzmann paradox. It could be that the calefaction accommodation of the supercooled aqueous abreast the Kauzmann temperature calmly decreases to a abate value. It could aswell be that a aboriginal adjustment appearance alteration to addition aqueous accompaniment occurs afore the Kauzmann temperature with the calefaction accommodation of this new accompaniment getting beneath than that acquired by extrapolation from college temperature. Finally, Kauzmann himself bound the anarchy absurdity by postulating that all supercooled liquids have to accumulate afore the Kauzmann temperature is reached.
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