If you have been reading about Collapse temperature and want a single page that covers the useful parts, this is it: definitions, context, how it is studied, and the questions that come up repeatedly.
Last reviewed on 2026-04-17. Where a claim depends on a specific study, the study is described rather than over-claimed.
Freezing determines ice crystal structure and pore size, which affect drying speed and product uniformity. Rapid freezing creates small crystals, while slow freezing creates larger crystals and often faster sublimation. During primary drying, chamber pressure is held below the vapor pressure of ice, and shelf temperature supplies heat for sublimation. The ice front recedes, leaving a porous matrix. Thermal limits such as collapse and eutectic temperatures set safe boundaries for formulation. These limits vary with solute composition and concentration.
Secondary drying removes bound water that remains after ice sublimation. Shelf temperature is raised gradually while pressure remains low, reducing water content to a target range. Over-drying can cause brittleness or electrostatic issues, while under-drying affects stability. The endpoint is often judged by pressure rise tests, temperature measurements, or water content analysis. Scale-up depends on matching heat and mass transfer across equipment sizes. Small changes in shelf temperature or pressure can alter cycle length substantially.
Lyophilization, or freeze-drying, removes water from a material by freezing it and then lowering pressure so ice changes directly to vapor. The process relies on sublimation, the phase transition from solid to gas without an intervening liquid state. It is used for heat-sensitive materials that would degrade in conventional drying. The three stages are freezing, primary drying, and secondary drying, each with distinct temperature and pressure requirements. In practice, cycle design balances these variables.
Lyophilization, also known as freeze-drying, is a process that removes water from a material by freezing it and then reducing pressure to allow ice to sublimate directly into vapor. The method begins with a freezing step that solidifies the water content. Next, primary drying lowers the pressure below the triple point of water, enabling sublimation without passing through a liquid phase. A final secondary drying step removes bound water through desorption. This sequence produces a dry, porous cake that can be reconstituted later.
The process relies on the phase diagram of water, where the triple point marks the conditions at which ice, liquid water, and vapor coexist. By maintaining pressure below this point, typically around 0.01 to 0.1 millibar, sublimation becomes the dominant mechanism. Formulations often include excipients such as sugars or polymers that act as lyoprotectants and bulking agents. These additives help preserve the structure of the active ingredient and prevent collapse during drying. The choice of excipient and freezing rate influences the final cake morphology and stability.
| Property | Value | Notes |
|---|---|---|
| Process name | Lyophilization or freeze-drying | Both terms appear in technical standards and literature. |
| Phase transition | Sublimation | Solid ice becomes vapor without a liquid step. |
| Typical chamber pressure | 0.05-0.5 mbar | Range depends on product temperature and equipment. |
| Typical product temperature | -40 °C to -10 °C | Measured during primary drying; formulation sets limits. |
| Water content after drying | 0.5-3% w/w | Target varies by material and stability needs. |
Lyophilization removes water from a frozen material by sublimation under reduced pressure. The process begins with freezing, which converts liquid water into ice and fixes the structure of the sample. After freezing, primary drying lowers pressure so ice changes directly to vapor without passing through a liquid phase. Secondary drying then removes bound water that remains after ice sublimation. The result is a dry, porous solid that often retains its original shape.
The low pressure used during drying allows water vapor to move from the ice surface to a cold condenser. Energy supplied as heat drives sublimation but must stay below the collapse temperature of the frozen matrix. If the product becomes too warm, the frozen structure may soften or melt, reducing pore formation and slowing drying. Formulations often include bulking agents, stabilizers, or buffers to support a rigid cake. The final moisture content depends on formulation, freezing rate, and the length of secondary drying.
Freeze-drying is distinct from simple evaporation and from spray drying. Evaporation removes water at temperatures above freezing, while spray drying rapidly dries droplets in a heated gas stream. Lyophilization avoids high temperatures, which can be useful for heat-sensitive materials such as proteins, vaccines, and some foods. The porous cake produced by sublimation dissolves or rehydrates more quickly than a dense dried mass. Not all materials tolerate freezing or the pH shifts that can occur as solutes concentrate during ice formation.
Lyophilization, also called freeze-drying, is a dehydration process in which a solvent, usually water, is frozen and then removed by sublimation under reduced pressure. The method preserves heat-sensitive materials that would degrade in conventional drying. Large-scale use grew during the mid-twentieth century for blood plasma and antibiotics, and it later expanded to vaccines, enzymes, foods, and advanced materials. The process produces a dry, porous solid that usually reconstitutes rapidly. It is distinct from simple evaporation because the solvent bypasses the liquid phase during primary removal.
The process generally proceeds in three stages: freezing, primary drying, and secondary drying. During freezing, controlled cooling converts water into ice and may also crystallize or vitrify solutes. In primary drying, the pressure is lowered below the triple point, and heat is supplied so ice sublimes directly to vapor. Secondary drying removes water that remains bound to the solid matrix, yielding a low final water content. Product temperature must stay below the collapse or glass transition temperature to maintain structure. Cycle design therefore balances shelf temperature, chamber pressure, and time.
Lyophilization is a dehydration technique in which a product is frozen and the solvent is removed under reduced pressure. The low pressure allows ice to sublimate directly into vapor without passing through a bulk liquid phase. This differs from conventional drying, where heat drives evaporation and can damage heat-sensitive structures. The process is used for biological materials, pharmaceutical formulations, and some foods. Its main advantage is preservation of porous structure and rapid reconstitution.
Freezing is the first stage and sets the ice structure that later becomes the pore network. The formulation is cooled below its freezing point, often with a controlled ramp, and solutes concentrate as ice forms. Primary drying then lowers chamber pressure and supplies heat to sublime the ice. The product temperature must stay below its collapse or eutectic temperature to prevent structural loss. Secondary drying raises the temperature modestly to remove bound water and achieve a low residual moisture.
A typical cycle begins with freezing, sometimes including an annealing step to control ice crystal size. Freezing conditions influence the pore network that later allows vapor escape. During primary drying, shelf temperature and chamber pressure are set so heat enters the product while its temperature stays below the collapse or eutectic point. Secondary drying then raises the shelf temperature to desorb bound water and lower residual moisture. Cycle design depends on formulation, fill volume, container type, and equipment capability.
The physics of lyophilization couples heat transfer, mass transfer, and phase behavior. Sublimation requires a vapor pressure difference between the ice front and the chamber, and the dried layer adds resistance to vapor flow. Amorphous formulations are characterized by a glass transition temperature of the maximally freeze-concentrated solute, often denoted Tg'. Crystalline bulking agents can provide structure, while amorphous excipients stabilize labile components. Open questions remain about spatial heterogeneity, edge effects, and how laboratory cycles scale to production.
== Cost == VESA, the creators of the DisplayPort standard, state that the standard is royalty-free to implement. However, in March 2015, MPEG LA issued a press release stating that a royalty rate of $0.20 per unit applies to DisplayPort products manufactured or sold in countries that are covered by one or more of the patents in the MPEG LA license pool, which includes patents from Hitachi Maxell, Philips, Lattice Semiconductor, Rambus, and Sony. In response, VESA updated its DisplayPort FAQ page in November 2015 with the following statement:
==== Putative receptor targets ==== The table highlights several common cannabinoids along with putative receptor targets and therapeutic properties. Exogenous (plant-derived) phytocannabinoids are identified with an asterisk while remaining chemicals represent well-known endocannabinoids (i.e., endogenously produced cannabinoid receptor ligands).
It was thought that with fewer malocclusions, breastfed children may have a reduced need for orthodontic intervention. The report suggested that children with a well-rounded, "U-shaped" dental arch, which is found more commonly in breastfed children, may have fewer problems with snoring and sleep apnea in later life. A 2016 review found that breastfeeding protected against malocclusions. Breastfeeding duration has been correlated with child maltreatment outcomes, including neglect and sexual abuse.
Sources: en.wikipedia.org
== Theory == Quantum dots are theoretically described as a point-like, or zero dimensional (0D) entity. Most of their properties depend on the dimensions, shape, and materials of which QDs are made. Generally, QDs present different thermodynamic properties from their bulk materials. One of these effects is melting-point depression. Optical properties of spherical metallic QDs are well described by the Mie scattering theory.
Carlos do Carmo said he did not know the reason why Dias had said: "If you want Rui Pedro close the borders". Hernâni Carvalho ended the interview by telling Carlos do Carmo:"I would like to leave this enigma: by curiosity, by paradox or by pure coincidence, two days before Rui Pedro disappeared (...) an eleven year old boy disappeared (...) no one found out anything about him either"Júlia Pinheiro questioned Francisco Moita Flores in 2011 about the police not having connected the fact that Afonso Dias had ties to Holland. Moita Flores agreed that it was a path that should have been followed. It was also questioned the fact Dias' financial life was not investigated and that during the reconstitution, the camera stopped recording the event, without it being noticed. Manuel Mendonça said that the police "joked around" with the case for three or four years, without recording things, gathering samples or DNA tests, always thinking that Mendonça would come back because he was playing or had run from home.
Those coming from a minority background often receive lower quality care, they are less likely to get anti-AD medications compared to their White counterparts. Furthermore, when they are prescribed medication, they are less likely to adhere to the treatment due to various factors and barriers such as the quality of interaction with healthcare providers, distrust in doctors, worries about retaining personal autonomy, stigmas and different beliefs.
Sources: en.wikipedia.org
In its bark an alkaloid is found which was given the name quebrachine. In 1914, two scientific papers claimed quebrachine was chemically identical to yohimbine. This was disputed, and the matter long remained in doubt. However, in 1972, Effler and Effler using modern analytical techniques, including mass spectrometry, UV absorption, IR absorption, and NMR, established that quebrachine and yohimbine are one and the same thing. They wrote: While it was almost unthinkable in 1914 ... that the same alkaloid was formed in [completely] different plants, recent studies have shown that this is certainly the case for indole alkaloids. The term 'quebrachine' may be used as a synonym for yohimbine. Strictly speaking, wrote George Barger, yohimbine should have been given the scientific name quebrachine, seeing that it was first isolated from the quebracho tree and first named in the scientific literature. However, the later work on P. yohimbe was better known.
===== Third and fourth generations ===== In the 1980s, the models of the third and of the fourth generations of breast implant devices were sequential advances in manufacturing technology, such as elastomer-coated shells that decreased gel-bleed (filler leakage), and a thicker (increased-cohesion) filler gel. Sociologically, the manufacturers of prosthetic breasts then designed and made anatomic models (natural breast) and shaped models (round, tapered) that realistically corresponded with the breast- and body- types of women. The tapered models of breast implant have a uniformly textured surface, which reduces the rotation of the prosthesis within the implant pocket; the round models of breast implant are available in smooth-surface- and textured-surface- types.
== Analysis == According to Sally Waller, part of the sans-culottes mantra was "permanent anticipation of betrayal and treachery". The members of the sans-culottes were constantly on edge and fearing betrayal, which can be attributed to their violent and radical rebellion tactics. Marxist historian Eric Hobsbawm observes that the sans-culottes were a "shapeless, mostly urban movement of the labouring poor, small craftsmen, shopkeepers, artisans, tiny entrepreneurs and the like". He further notes they were organised notably in the local political clubs of Paris and "provided the main striking-force of the revolution". Hobsbawm writes that these were the actual demonstrators, rioters and constructors of the street barricades. However, Hobsbawm maintains, sans-culottism provided no real alternative to the bourgeois radicalism of the Jacobins; from Hobsbawm's Marxist perspective, the ideal of the sans-culottes, which sought to express the interests of the "little men" who existed between the poles of the bourgeoisie and the proletariat, was contradictory and ultimately unrealizable. The Marxist historian Albert Soboul emphasized the importance of the sans-culottes as a social class, a sort of proto-proletariat that played a central role in the French Revolution. That view has been sharply attacked by scholars who say the sans-culottes were not a class at all. As one historian observes, Soboul's concept has not been used by scholars in any other period of French history.
Sources: en.wikipedia.org
Conventional drying uses heat to evaporate liquid water, often at temperatures that can degrade sensitive materials. Lyophilization freezes the material first and then removes water by sublimation under vacuum. This avoids prolonged exposure to liquid water and high heat.
Lowering pressure reduces the boiling point of water and allows ice to sublimate at temperatures below freezing. Vacuum also limits convective heat transfer, so heat is usually supplied by shelves or radiation. The pressure must stay below the vapor pressure of ice at the product temperature.
The cycle typically includes freezing, primary drying, and secondary drying. Freezing solidifies water and sets the pore structure; primary drying removes bulk ice; secondary drying removes bound water. Some cycles add annealing or pre-freezing steps.
Conventional drying uses heat to evaporate water from a material, while lyophilization freezes the material and removes water by sublimation under vacuum. This avoids the liquid phase and reduces thermal damage to sensitive substances. The result is a porous cake that reconstitutes quickly.