Everything below concerns primary drying. We keep the language plain, cite what the science says, and separate well-supported claims from open questions.
Updated 2026-05-06. Numbers and descriptions here follow the published literature rather than marketing material.
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.
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.
After primary drying, secondary drying removes water that remains bound to the material. This stage raises the shelf temperature while maintaining low pressure, which encourages desorption of unfrozen water. Residual moisture can be reduced to a low percentage, improving stability for many products. The process parameters, including freezing rate, shelf temperature, and chamber pressure, influence the final pore structure and reconstitution behavior. Control of these variables helps prevent collapse or meltback during drying.
A formulation often contains excipients that protect the active ingredient during freezing and drying. Bulking agents provide structure, while lyoprotectants stabilize sensitive molecules. The freezing step can produce ice crystals whose size and distribution affect the drying rate, and cycle design includes freezing, annealing, and drying phases. If the product temperature rises above a critical value, the cake may collapse or lose its porous structure. Successful lyophilization therefore depends on the interaction between formulation, equipment, and cycle design.
Lyophilization is a dehydration process that removes water from a frozen material by sublimation under low pressure. The material is first frozen to convert liquid water into ice. Next, the pressure is reduced below the triple point of water so that ice changes directly into vapor without passing through a liquid phase. This step is called primary drying. The result is a porous solid or cake that retains the original shape of the frozen solution.
| 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. |
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.
Lyophilization is a drying process in which a solvent, usually water, is removed from a frozen material by sublimation under reduced pressure. The material is first solidified, then placed under vacuum so that ice transitions directly to vapor without a bulk liquid phase. This approach suits heat-sensitive substances that would degrade during conventional evaporation. Primary drying removes unbound ice, while secondary drying reduces water that remains adsorbed to the solid matrix. The result is a porous, lightweight solid that can be reconstituted later.
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 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.
Formulation composition influences whether freeze-drying produces an intact cake or a collapsed mass. Excipients such as sugars and polymers can raise the collapse temperature and provide bulk during drying. The critical temperature for primary drying is often the collapse temperature or the glass transition temperature of the maximally concentrated phase. If the product temperature exceeds this threshold, the frozen matrix may soften and lose structure. Established practice therefore links shelf temperature and chamber pressure to the formulation's thermal properties.
The physics of freeze-drying couples heat transfer, mass transfer, and phase change. Heat supplied through the shelf must reach the sublimation front without melting the ice or degrading the product. Water vapor then travels through the already dried layer and leaves the chamber, where low pressure and cold traps keep it from returning. The dried layer acts as a resistance to vapor flow, so drying rate changes as the front recedes. Open questions remain about how pore structure and formulation heterogeneity affect drying uniformity at larger scales.
Lyophilization removes water from a frozen material by sublimation under reduced pressure. The process begins with freezing, which converts liquid water into ice and concentrates dissolved solids. Primary drying then lowers chamber pressure so ice changes directly into vapor without passing through a liquid phase. Secondary drying raises the shelf temperature to remove bound water that remains after ice sublimation. The result is a dry, porous structure that can be reconstituted later.
In practice, lyophilization is slower and more energy intensive than simple drying. Cycle times can range from hours to several days depending on load, container, and formulation. Amorphous materials may require excipients that help preserve structure during freezing and drying. The method is widely used for biological materials, pharmaceuticals, and foods where heat drying would cause unacceptable change. Open questions remain about scaling cycles between laboratory and production equipment, and this gap affects technology transfer.
Lyophilization removes water by freezing a material and then lowering pressure so ice changes directly to vapor. The process relies on sublimation, the phase transition from solid to gas without an intermediate liquid state. Because the material remains frozen during primary drying, the structure often stays porous. This porous matrix can rehydrate quickly when water is added back. The low pressure also allows vapor to leave the solid matrix without boiling.
Although antivenom saves many lives, mortality due to black mamba envenomation is still at 14%, even with antivenom treatment. In addition to antivenom treatment, endotracheal intubation and mechanical ventilation are required for supportive therapy.
Gomphosis is the type of joint in which a conical peg fits into a socket, for example, the socket of a tooth. Normally, there is very little movement of the teeth in the mandible or maxilla. Synostosis is where two bones that are initially separated eventually fuse, essentially becoming one bone. In humans, as in other animals, the plates of the cranium fuse with dense fibrous connective tissue as a child approaches adulthood. Children whose cranial plates fuse too early may suffer deformities and brain damage as the skull does not expand properly to accommodate the growing brain, a condition known as craniosynostosis. Synchondrosis is a cartilaginous joint connected by hyaline cartilage, as seen in the epiphyseal plate.
== Description and types == The indication is a total breast weight that exceeds approximately 3% of the total body weight. There are varying definitions of what is considered to be excessive breast tissue, that is the expected breast tissue plus extraordinary breast tissue, ranging from as little as 0.6 kilograms (1.3 lb) up to 2.5 kilograms (5.5 lb) with most physicians defining macromastia as excessive tissue of over 1.5 kilograms (3.3 lb). Some resources distinguish between macromastia (Greek, macro: large, mastos: breast), where excessive tissue is less than 2.5 kg, and gigantomastia (Greek, gigantikos: giant), where excessive tissue is more than 2.5 kg. The enlargement can cause muscular discomfort and over-stretching of the skin envelope, which can lead in some cases to ulceration. Hypertrophy of the breast can affect the breasts equally, but usually affects one breast more than the other, thereby causing asymmetry, when one breast is larger than the other. The condition can also individually affect the nipples and areola instead of or in addition to the entire breast. The effect can produce a minor size variation to an extremely large breast asymmetry. Breast hypertrophy is classified in one of five ways: as either pubertal (juvenile hypertrophy), gestational (gravid macromastia), in adult women without any obvious cause, associated with penicillamine therapy, and associated with extreme obesity. Many definitions of macromastia and gigantomastia are based on the term of "excessive breast tissue", and are therefore somewhat arbitrary.
There are varied reasons for e-cigarette use. Most users are trying to quit smoking, but some use is recreational or as an attempt to get around smoke-free laws. Many people vape to relax, and some because vaping is safer than smoking. The wide choice of flavors and lower price compared to cigarettes are also important factors. Other motivations include reduced odor and fewer stains. E-cigarettes also appeal to technophiles who enjoy customizing their devices.
Sources: en.wikipedia.org
The numbers 1.930 and 0.537 are phenomenological; these specific values provide a fairly good fit to the data. The product Re√fD (called the "friction Reynolds number") can be considered, like the Reynolds number, to be a (dimensionless) parameter of the flow: at fixed values of Re√fD, the friction factor is also fixed. In the Kármán–Prandtl resistance equation, fD can be expressed in closed form as an analytic function of Re through the use of the Lambert W function:
The International History Review. 30 (4): 709–740. doi:10.1080/07075332.2008.10416646. ISSN 1949-6540. JSTOR 40213728. S2CID 153677447. Panzac, Daniel (1995). Histoire économique et sociale de l'Empire ottoman et de la Turquie (1326-1960). Peeters Publishers. ISBN 90-6831-799-7. Pappé, Ilan (2006). The Ethnic Cleansing of Palestine. Oneworld. ISBN 978-1-85168-555-4. Reilly, James A. (2016). The Ottoman Cities of Lebanon: Historical Legacy and Identity in the Modern Middle East. London: I. B. Tauris. ISBN 978-1-78672-036-8. Salibi, Kamal S. (January 1961). "The Buḥturids of the Garb. Mediaeval Lords of Beirut and of Southern Lebanon". Arabica. 8 (1): 74–97. doi:10.1163/157005861X00043. JSTOR 4054971. Salibi, K. (1965). "Fakhr al-Dīn". In Lewis, B.; Pellat, Ch. & Schacht, J. (eds.). The Encyclopaedia of Islam, Second Edition. Volume II: C–G. Leiden: E. J. Brill. pp. 749–751. OCLC 495469475. Salibi, K. (February 1968). "The muqaddams of Bšarrī: Maronite chieftains of the Northern Lebanon 1382–1621". Arabica. 15 (1): 63–86. doi:10.1163/157005868X00280. ISSN 0570-5398. JSTOR 4056124. Salibi, K. (2005). A House of Many Mansions: The History of Lebanon Reconsidered. London: I.B. Tauris. ISBN 978-1-86064-912-7. Salibi, Kamal Suleiman (2005b). The Druze: Realities & Perceptions. University of Michigan Press. ISBN 978-1-904850-06-9. Schilcher, L. Schatkowski (1981). "The Hauran Conflicts of the 1860s: A Chapter in the Rural History of Modern Syria". International Journal of Middle East Studies. 13 (2): 159–179. doi:10.1017/S0020743800055276. JSTOR 162818. S2CID 162263141.
=== Personality Tests === Jung has influenced management theory because managers and executives create an appropriate "management persona" (a corporate mask) and a persuasive identity, and they have to evaluate what sort of people the workers are, to manage them (for example, using personality tests and peer reviews). The Myers–Briggs Type Indicator (MBTI), a psychometric instrument mostly popular with non-psychologists, as well as the concepts of socionics, were developed from Jung's model of psychological types. The MBTI is considered pseudoscience and is not widely accepted by researchers in the field of psychology.
=== Korean === There is some disagreement about what is the longest word in the Korean language, which arises from a misunderstanding of the Korean language. All of these examples below contain spaces in Hangul and do not qualify as a single word. The longest word appearing in the Standard Korean Dictionary published by the National Institute of the Korean Language is 청자 양인각 연당초상감 모란 문은구 대접 (靑瓷陽印刻蓮唐草象嵌牡丹文銀釦대접); Revised Romanization: cheongjayang-in-gakyeondangchosang-gammoranmuneun-gudaejeop, which is a kind of ceramic bowl from the Goryeo dynasty; that word is 17 syllable blocks long, and contains a total of 46 hangul letters. However, to call this a word would be incorrect. It simply consists of many words that act as adjectives for the one word 대접. The word 니코틴아마이드 아데닌 다이뉴클레오타이드 (nikotin-amaideu adenin dainyukeulle-otaideu), a phonetic transcription of "nicotinamide adenine dinucleotide", has a larger number of syllable blocks (19) but a smaller number of letters (41). It does not qualify as a single word.
It was not long before Maximilien de Robespierre and the now dominant Jacobin Club turned against the radical factions of the National Convention, including the sans-culottes, despite their having previously been the strongest supporters of the revolution and its government. Several important leaders of the Enragés and Hébertists were imprisoned and executed by the very revolutionary tribunals they had supported. The execution of radical leader Jacques Hébert spelled the decline of the sans-culottes, and with the successive rise of even more conservative governments, the Thermidorian Convention and the French Directory, they were definitively silenced as a political force. After the defeat of the 1795 popular revolt in Paris, the sans-culottes ceased to play any effective political role in France until the July Revolution of 1830.
Sources: en.wikipedia.org
=== Treatment after exposure === The primary treatment is removal of the offending substance. Capsaicin is soluble in alcohol, which can be used to clean contaminated items. Plain water is ineffective at removing capsaicin in most situations, but flushing continuously with water may be used when no alternative is available, such as when treating the eyes or skin. When capsaicin is ingested, cold milk may be an effective way to relieve the burning sensation due to caseins in milk, and the water of milk acts as a surfactant, allowing the capsaicin to form an emulsion with it.
In patients with anorexia nervosa, there is a reduction of the secretion of gonadotropin releasing hormone in the central nervous system which prevents ovulation. Anorexia nervosa can also result in pubertal delay or arrest. Both height gain and pubertal development are dependent on the release of growth hormone and gonadotropins (LH and FSH) from the pituitary gland. Suppression of gonadotropins in people with anorexia nervosa has been documented. Typically, growth hormone (GH) levels are high, but levels of IGF-1, the downstream hormone that should be released in response to GH are low; this indicates a state of "resistance" to GH due to chronic starvation. IGF-1 is necessary for bone formation, and decreased levels in anorexia nervosa contribute to a loss of bone density and potentially contribute to osteopenia or osteoporosis. Anorexia nervosa can also result in reduction of peak bone mass. Buildup of bone is greatest during adolescence, and if onset of anorexia nervosa occurs during this time and stalls puberty, low bone mass may be permanent. Hepatic steatosis, or fatty infiltration of the liver, can also occur, and is an indicator of malnutrition in children. Neurological disorders that may occur as complications include seizures and tremors. Wernicke encephalopathy, which results from vitamin B1 deficiency, has been reported in patients who are extremely malnourished; symptoms include confusion, problems with the muscles responsible for eye movements and abnormalities in walking gait.
If references are made, the Court of Justice will give a preliminary ruling, in order for the member state court to conclude the case and award a remedy. The right to an effective remedy is a general principle of EU law, enshrined in the Charter of Fundamental Rights article 47. Most of the time Regulations and Directives will set out the relevant remedies to be awarded, or they will be construed from the legislation according to the practices of the member state. It could also be that the government is responsible for failure to properly implement a Directive or Regulation, and must therefore pay damages. In Francovich v Italy, the Italian government had failed to set up an insurance fund for employees to claim unpaid wages if their employers had gone insolvent, as the Insolvency Protection Directive required. Francovich, the former employee of a bankrupt Venetian firm, was therefore allowed to claim 6 million Lira from the Italian government in damages for his loss. The Court of Justice held that if a Directive would confer identifiable rights on individuals, and there is a causal link between a member state's violation of EU and a claimant's loss, damages must be paid. The fact that the incompatible law is an Act of Parliament is no defence. So, in Factortame it was irrelevant that Parliament had legislated to require a quota of British ownership of fishing vessels in primary legislation.
Some substrates (e.g., molecular oxygen) have a triplet ground state, which results that metals with half-filled orbitals have a tendency to react with such substrates (it must be said that the dioxygen molecule also has lone pairs, so it is also capable to react as a 'normal' Lewis base). If the ligands around the metal are carefully chosen, the metal can aid in (stoichiometric or catalytic) transformations of molecules or be used as a sensor.
== Synthetic ligands == The non-peptide NPS receptor antagonist SHA-68 blocks the effects of NPS in animals and is anxiogenic. Several peptide derived NPS agonists and antagonists have also been developed.
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.
Lyophilization removes water by sublimation from a frozen material, while evaporation changes liquid water into vapor. The low-pressure freezing step avoids the liquid phase and can preserve heat-sensitive structures.