The short version of residual moisture fits in a sentence. The long version — which is the one that helps — is below.
This page was last updated on 2026-07-23 and is reviewed periodically as new material appears.
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.
The physics of lyophilization depends on phase boundaries and heat and mass transfer. During primary drying, heat supplied to the product must equal the latent heat of sublimation, while water vapor moves through the drying cake to the condenser. If shelf temperature or pressure is set too high, the ice front can exceed the collapse temperature, causing meltback or pore collapse. If conditions are too cold, drying slows and costs rise. Formulation excipients, vial geometry, and freezing rate alter these limits.
Equipment for lyophilization includes a vacuum chamber, temperature-controlled shelves, a condenser, and a vacuum pump. A refrigeration system cools the shelves and condenser below the product's freezing point. Process monitoring often uses Pirani and capacitance manometers, thermocouples, and resistance sensors. Cycle development balances product quality with time and energy use. Some products are annealed during freezing to improve crystallization of bulking agents. Open questions remain about scaling cycles between laboratory, pilot, and production freeze-dryers.
| Property | Value | Notes |
|---|---|---|
| Common name | Freeze-drying | Process removes water by sublimation under vacuum. |
| Typical primary drying shelf temperature | -40 C to -10 C | Set below the formulation's collapse temperature. |
| Typical chamber pressure | 0.05-0.3 mbar | Low pressure allows ice to sublime below its triple point. |
| Water content after drying | 0.5-3% by weight | Higher values may reduce storage stability for some materials. |
| Key thermal parameter | Collapse temperature | Measured by freeze-drying microscopy or differential scanning calorimetry. |
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.
The process usually has three stages: freezing, primary drying, and secondary drying. Freezing sets the ice crystal structure and can determine pore size in the final cake. Primary drying removes free ice by sublimation at low pressure and low shelf temperature. Secondary drying removes bound water by raising the shelf temperature, although some water may remain as part of the solid. Cycle parameters depend on formulation, fill volume, vial type, and equipment performance.
The physical chemistry of freezing influences whether a formulation forms an amorphous glass or a crystalline solid. Amorphous systems can collapse if product temperature rises above the glass transition temperature of the freeze concentrate. Crystalline systems may show eutectic melting, where ice and solute melt together at a fixed temperature. Formulators add bulking agents, lyoprotectants, and buffers to preserve structure and biological activity. The optimum cycle keeps product temperature below critical thresholds during primary drying while allowing efficient sublimation.
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.
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.
Industries use lyophilization for pharmaceuticals, biological products, and food preservation. In the pharmaceutical sector, it extends the shelf life of injectable drugs, vaccines, and proteins that are unstable in aqueous solution. Food manufacturers apply freeze-drying to coffee, fruits, and ready meals to retain flavor and texture. The process is energy-intensive and requires specialized equipment, which limits its use to high-value products. Ongoing research examines how formulation and process parameters affect the quality of the final dried product.
==== Francium ==== Francium is also predicted to show some differences due to its high atomic weight, causing its electrons to travel at considerable fractions of the speed of light and thus making relativistic effects more prominent. In contrast to the trend of decreasing electronegativities and ionisation energies of the alkali metals, francium's electronegativity and ionisation energy are predicted to be higher than caesium's due to the relativistic stabilisation of the 7s electrons; also, its atomic radius is expected to be abnormally low. Thus, contrary to expectation, caesium is the most reactive of the alkali metals, not francium. All known physical properties of francium also deviate from the clear trends going from lithium to caesium, such as the first ionisation energy, electron affinity, and anion polarisability, though due to the paucity of known data about francium many sources give extrapolated values, ignoring that relativistic effects make the trend from lithium to caesium become inapplicable at francium. Some of the few properties of francium that have been predicted taking relativity into account are the electron affinity (47.2 kJ/mol) and the enthalpy of dissociation of the Fr2 molecule (42.1 kJ/mol). The CsFr molecule is polarised as Cs+Fr−, showing that the 7s subshell of francium is much more strongly affected by relativistic effects than the 6s subshell of caesium.
In 1928 he obtained a Rockefeller Travelling Fellowship to visit Europe, where he worked for a while in the Anatomical School at Cambridge University, England, then headed by Professor Wilson, and in the Anatomical School at Utrecht University, the Netherlands, then headed by Professor Boecke. Also in 1928, Oscar Tiegs was awarded the David Syme Research Prize. As a histologist Oscar Tiegs developed an interest in Boecke's suggestion of a double innervation of vertebrate skeletal muscle. From this interest he undertook a physiological investigation of the sympathetic system in the muscle, finding no such action except in blood vessels, all muscular action seemingly being caused by an adrenaline-like substance. Oscar Tiegs in this work corrected errors and ambiguities in the work of others, and showed the validity of some traditional interpretations.
==== Alarcón-Segovia criteria ==== The Alarcón-Segovia criteria require serological criteria and at least three clinical criteria, including either synovitis or myositis to qualify for a diagnosis of MCTD. It has a sensitivity of 62.5% and a specificity of 86.2%. Serological criteria:
On the same day as the 2019–20 state budget, Pritzker signed the "Fair Tax" law, which offered a constitutional amendment to voters in the November 2020 election to replace Illinois's flat tax with graduated rates. He promised that income taxes would not increase for Illinoisans who make $250,000 a year or less, who are 97% of the state's wage earners. Pritzker and his supporters said changing income tax laws was the first step toward comprehensive state tax reform. According to the governor's office, under this proposal, families and couples would see tax cuts across the board. For example, a family of four making $61,000 a year would pay $41 less in income tax before any other tax exemptions or deductions. Moreover, there would be a tax credit of up to $100 per child for individuals making less than $80,000 and joint filers earning under $100,000. The corporate tax rate would rise from 7% to 7.95%, equal to the highest personal rate. In addition, Pritzker wanted to increase the property tax credit to 6% from 5%. Pritzker donated more than $55 million to "Vote Yes for Fairness", a committee that supported the tax change. The tax change set up a fight between Pritzker and Ken Griffin, who donated over $50 million to a group opposing it. Griffin called Pritzker "spineless", accusing him of trying "to sell a trick disguised as a solution", and pointed to Pritzker's offshore trusts and personal tax avoidance schemes as hypocritical. Pritzker claimed that his income tax proposal would bring $3.4 billion in tax revenue.
Sources: en.wikipedia.org
==== Development ==== The length of time before hatching is highly variable; smaller eggs in warmer waters are the fastest to hatch, and newborns can emerge after as little as a few days. Larger eggs in colder waters can develop for over a year before hatching. The process from spawning to hatching follows a similar trajectory in all species, the main variable being the amount of yolk available to the young and when it is absorbed by the embryo. Unlike most other molluscs, cephalopods do not have a morphologically distinct larval stage. Instead, the juveniles of coleoids are known as paralarvae. Paralarvae have been observed only in members of the Octopoda and Teuthida (which constitutes the modern definition of Coleoidea). In contrast, hatchling nautili are not referred to by a specific technical term, as they resemble miniatures of the adults. Neonate cephalopods quickly learn how to hunt, using encounters with prey to refine their strategies. Growth in juveniles is usually allometric, whilst adult growth is isometric.
=== Christian churches and the Eucharist === Speaking generally, the various denominations of Christians celebrate a Eucharist in which a wafer or small piece of sacramental bread from wheat bread is blessed and then eaten. Small communion wafers typically contain 2–5 mg of gliadin if they are not a gluten-free variety, and many people with coeliac disease report altering their religious practices because of coeliac symptoms caused by these wafers. Some Christian churches such as the United Methodist, Christian Reformed, Episcopal, Anglican and Lutheran churches offer their communicants gluten-free alternatives, usually in the form of a rice-based cracker or gluten-free bread. Catholics may receive from the chalice alone, or ask for gluten-reduced hosts; gluten-free ones however are not considered still to be wheat bread, and hence are invalid matter. Roman Catholic doctrine states that for a valid Eucharist, the bread to be used at Mass must be made from wheat. Low-gluten hosts meet all of the Catholic Church's requirements, but they are not entirely gluten-free. As of 2017, the Vatican still disapproves of the use of gluten-free bread for Holy Communion.
=== Basement membrane === The basal surface of epithelial tissue rests on a basement membrane and the free/apical surface faces body fluid or outside. The basement membrane acts as a scaffolding on which epithelium can grow and regenerate after injuries. Epithelial tissue has a nerve supply, but no blood supply and must be nourished by substances diffusing from the blood vessels in the underlying tissue. The basement membrane acts as a selectively permeable membrane that determines which substances will be able to enter the epithelium. The basal lamina is made up of laminin (glycoproteins) secreted by epithelial cells. The reticular lamina beneath the basal lamina is made up of collagen proteins secreted by connective tissue.
== In platelets == The granules of platelets are classified as dense granules and alpha granules. α-Granules are unique to platelets and are the most abundant of the platelet granules, numbering 50–80 per platelet 2. These granules measure 200–500 nm in diameter and account for about 10% of platelet volume. They contain mainly proteins, both membrane-associated receptors (for example, αIIbβ3 and P-selectin) and soluble cargo (for example, platelet factor 4 [PF4] and fibrinogen). Proteomic studies have identified more than 300 soluble proteins that are involved in a wide variety of functions, including hemostasis (for example, von Willebrand factor [VWF] and factor V), inflammation (for example, chemokines such as CXCL1 and interleukin-8), and wound healing (for example, vascular endothelial growth factor [VEGF] and fibroblast growth factor [FGF]) 3. The classic representation of α-granules as spherical organelles with a peripheral limiting membrane, a dense nucleoid, and progressively lucent peripheral zones on transmission electron microscopy is probably simplistic and may be in part a preparation artifact. Electron tomography with three-dimensional reconstruction of platelets is notable for a significant percentage of tubular α-granules that generally lack VWF 4. More recent work using transmission electron microscopy and freeze substitution dehydration of resting platelets shows that α-granules are ovoid with a generally homogeneous matrix and that tubes form from α-granules upon activation 5.
Liberal Democrat History Group. Catalogue of the Liberal Party papers (mostly dating from after 1945) at LSE Archives. The Liberal Magazine Volume 2 1895. Liberal Magazine A Periodical for the Use of Liberal Speakers, Writers and Canvassers Volume 1 1893. Facts for Liberal Politicians By John Noble 1879. Proceedings in Connection with the Annual Meeting of the National Liberal Federation with the Annual Report By National Liberal Federation, 1881. Election Address and Speeches By Samuel Smith, 1882. Annual Report Presented at a Meeting of the Council By National Liberal Federation, 1887. Proceedings of the Annual Meeting of the Council By National Liberal Federation, 1895. Five Years of Liberal Policy and Conservative Opposition By George Charles Brodrick, 1874. Leaflets By National Liberal Federation, 1898. Pamphlets and Leaflets of the Liberal Publication Dept By Liberal Publication Department (Great Britain), 1900. The Liberal Magazine Volume 7, Publisher: Liberal Publication Department, 1900. Leaflets published by the Liberal Publication Department for the General Election of 1906, 1906. The Liberal year book for 1908. The Government's record, 1906–1913 : seven years of Liberal legislation and administration By Liberal Publication Dept. (Great Britain). The Yale Review Volume 4 1895. The Age of Lloyd George The Liberal Party and British Politics, 1890–1929 By Kenneth O. Morgan, 2021.
Sources: en.wikipedia.org
== Career and research == After graduating, Hopkins then taught physiology and toxicology at Guy's Hospital from 1894 to 1898. In 1898, while attending a meeting of the Physiological Society, he was invited by Sir Michael Foster to join the Physiological Laboratory in Cambridge to investigate the chemical aspects of physiology. Biochemistry was not, at that time, recognised as a separate branch of science. He was a lecturer in chemical physiology at Emmanuel College, Cambridge in March 1900, when he received the academic rank Master of Arts (MA) honoris causa. He earned a doctorate in physiology (D.Sc.) from the University of London in July 1902, and at the same time was given a readership in biochemistry at Trinity College. While at Cambridge he was initiated into Freemasonry. In 1910 he became a Fellow of Trinity College, and an Honorary Fellow of Emmanuel College. In 1914 he was elected to the Chair of Biochemistry at Cambridge University, thus becoming the first Professor in that discipline at Cambridge. His Cambridge students included neurochemistry pioneer Judah Hirsch Quastel and pioneer embryologist Joseph Needham. Hopkins had for a long time studied how cells obtain energy via a complex metabolic process of oxidation and reduction reactions. His study in 1907 with Sir Walter Morley Fletcher of the connection between lactic acid and muscle contraction was one of the central achievements of his work on the biochemistry of the cell. He and Fletcher showed that oxygen depletion causes an accumulation of lactic acid in the muscle.
Memorials to the attacks include the National September 11 Memorial & Museum in New York City; the Pentagon Memorial in Arlington County, Virginia; and the Flight 93 National Memorial at the Pennsylvania crash site.
== Research == Detection of TCDD (dioxin) in soil and water, explosives, chemical agents. Development of the ELAN 6000 ICP-MS Development of the DRC Collision/reaction cell Development of Mass cytometry see also CyTOF
== History == The first successful mechanically refrigerated trucks were made for the ice cream industry in 1925. American inventor Frederick McKinley Jones is known to be the first person to invent a refrigerated truck. There were around 4 million refrigerated road vehicles in use in 2010 worldwide.
Sources: en.wikipedia.org
Primary drying removes ice by sublimation at low pressure and low shelf temperature. Secondary drying removes bound water by raising the shelf temperature, often under the same vacuum. The two stages differ in the water state being removed.
Freezing determines ice crystal size, pore structure, and the concentration of solutes in remaining liquid. Faster freezing generally creates smaller ice crystals and a denser dried matrix. These features affect drying rate and reconstitution behavior.
Lyophilization reduces water content but usually leaves a small amount of water in the dried material. Some water remains bound to solids or trapped in the dried matrix. Very low water targets can require extended secondary drying, which may alter product stability.
Simple drying usually removes water by evaporation from a liquid or solid, often with heat. Lyophilization first freezes the material and then removes ice by sublimation under vacuum. This avoids prolonged exposure to liquid water and high temperatures.