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Lyophilisation: difference between revisions

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39Sublimation is strongly endothermic. The enthalpy of sublimation of ice is approximately 2.83 MJ·kg⁻¹, about 13% greater than the enthalpy of vaporisation of liquid water, so the shelf must supply a large heat flux for a modest mass flow. That heat must cross a gas gap between shelf and vial base, and the efficiency of that transfer — conventionally expressed as a vial heat transfer coefficient — is itself a function of chamber pressure, because conduction through rarefied gas falls as pressure falls.{{r|rambhatla2003}}39Sublimation is strongly endothermic. The enthalpy of sublimation of ice is approximately 2.83 MJ·kg⁻¹, about 13% greater than the enthalpy of vaporisation of liquid water, so the shelf must supply a large heat flux for a modest mass flow. That heat must cross a gas gap between shelf and vial base, and the efficiency of that transfer — conventionally expressed as a vial heat transfer coefficient — is itself a function of chamber pressure, because conduction through rarefied gas falls as pressure falls.{{r|rambhatla2003}}
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+41Two consequences follow and recur throughout the article. First, product temperature is not a set point but a result: it emerges from the balance between heat supplied and heat consumed by sublimation, and it is lower than the shelf temperature throughout primary drying. Second, anything that changes the resistance of the dried layer to vapour flow changes the product temperature, which is why the freezing step — which sets that resistance — governs the behaviour of the two steps that follow.{{r|searles2001}}
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41== Freezing ==43== Freezing ==
42Cooling an aqueous solution below 0 °C does not immediately produce ice. Nucleation requires supercooling, and in clean pharmaceutical solutions supercooling of 10–20 °C below the equilibrium freezing point is routine. The temperature at which nucleation happens to occur determines the number and size of the ice crystals formed: nucleation close to 0 °C produces few, large crystals and a coarse, low-resistance dried structure, whereas deep supercooling produces many small crystals and a fine structure that impedes vapour escape.{{r|searles2001,kasper2011}}44Cooling an aqueous solution below 0 °C does not immediately produce ice. Nucleation requires supercooling, and in clean pharmaceutical solutions supercooling of 10–20 °C below the equilibrium freezing point is routine. The temperature at which nucleation happens to occur determines the number and size of the ice crystals formed: nucleation close to 0 °C produces few, large crystals and a coarse, low-resistance dried structure, whereas deep supercooling produces many small crystals and a fine structure that impedes vapour escape.{{r|searles2001,kasper2011}}
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46As ice forms, solutes are excluded from the crystal lattice and concentrate in the remaining liquid. This freeze concentration continues until the residual phase either crystallises at a eutectic temperature or becomes so viscous that it vitrifies. The temperature at which the maximally freeze-concentrated amorphous phase undergoes its glass transition is written Tg′ and is a formulation property, not a process setting.48As ice forms, solutes are excluded from the crystal lattice and concentrate in the remaining liquid. This freeze concentration continues until the residual phase either crystallises at a eutectic temperature or becomes so viscous that it vitrifies. The temperature at which the maximally freeze-concentrated amorphous phase undergoes its glass transition is written Tg′ and is a formulation property, not a process setting.
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+50|+ Thermal behaviour of common lyophilisation solutes
+51| !Solute | Critical temperature | Behaviour on freezing |
+52|---|---|---|
+53| Sucrose | Tg′ ≈ −32 °C | Amorphous |
+54| Trehalose | Tg′ ≈ −29 °C | Amorphous |
+55| Sorbitol | Tg′ ≈ −44 °C | Amorphous |
+56| Glycerol | Tg′ ≈ −65 °C | Amorphous |
+57| Dextran 40 | Tg′ ≈ −11 °C | Amorphous |
+58| Povidone K30 | Tg′ ≈ −23 °C | Amorphous |
+59| Mannitol | Eutectic ≈ −1.5 °C | Crystallises |
+60| Glycine | Eutectic ≈ −3.6 °C | Crystallises |
+61| Sodium chloride | Eutectic ≈ −21.1 °C | Crystallises |
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48== References ==63== References ==