This is a working overview of Sublimation, written for readers who want more than a one-paragraph summary but less than a textbook.
This page was last updated on 2025-08-30 and is reviewed periodically as new material appears.
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.
Analytical methods for lyophilized materials include X-ray diffraction for crystallinity, differential scanning calorimetry for thermal transitions, and scanning electron microscopy for pore morphology. Moisture sorption analysis shows how the cake responds to humidity. These methods help distinguish amorphous from crystalline states and detect phase changes. Open questions remain about how pore structure changes during long-term storage and how best to predict collapse under varied conditions. Comparisons across studies are complicated by differences in formulation, cycle, and storage history.
Quality control for lyophilized products focuses on appearance, moisture level, reconstitution time, and structural integrity. A cake should be uniform, intact, and free of meltback or collapse. Moisture level is measured by Karl Fischer titration or thermogravimetric analysis. Reconstitution time reflects pore structure and formulation. Visual inspection and vial integrity checks detect cracks, stopper defects, or particulate matter. These checks are often performed on samples from each batch. They help confirm that the drying cycle performed as intended.
Storage stability depends on water content, oxygen exposure, and temperature. Lyophilized solids are hygroscopic and can absorb water if exposed to humid air. Vials are usually sealed under vacuum or inert gas with rubber stoppers and aluminum crimps. Storage temperatures range from room temperature to refrigerated or frozen conditions depending on the material. Stability studies track potency, moisture, and physical form over time. Accelerated conditions can reveal sensitivity but may not predict long-term behavior.
| 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. |
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.
Reconstitution involves adding a suitable diluent, often sterile water or a buffer, to the dried cake. Gentle swirling or inversion helps dissolve the material without creating excessive foam. The time required for complete dissolution can range from seconds to several minutes and depends on the cake structure and the diluent. Improper reconstitution, such as vigorous shaking or using the wrong diluent, can cause protein aggregation or loss of activity. After reconstitution, the product may have a limited shelf life and should be used according to its labeling.
Lyophilized products are typically hygroscopic and require protection from moisture during storage. Manufacturers seal them in glass vials, often under vacuum or an inert gas such as nitrogen. The container closure system, including the stopper and crimp seal, must prevent water vapor ingress. Storage temperature varies from controlled room temperature to refrigerated or frozen conditions, depending on the formulation. Humidity-controlled environments are essential because even brief exposure to ambient air can degrade the product.
Also in 1992, the Dow Corning Corporation, a silicone products and breast implant manufacturer, announced the discontinuation of five implant-grade silicones, but would continue producing 45 other, medical-grade, silicone materials—three years later, in 1995, the Dow Corning Corporation went bankrupt when it faced large class action lawsuits claiming a variety of illnesses.
== Responsibilities == The Treuhand was responsible for more than just the 8,500 state-owned enterprises. It also took over around 2.4 million hectares of agricultural land and forests, the property of the former Stasi, large parts of the property of the former National People's Army, large-scale public housing property, and the property of the state pharmacy network. On 3 October 1990, the day of reunification, it took over the property of the SED, as well as the other political parties and the mass organisations of the National Front.
The short features a cover of "Pure Imagination" from Willy Wonka & the Chocolate Factory, sung by Fiona Apple. It was named one of the worst advertisements of 2013 by The Wall Street Journal. In 2011, Chipotle created the "Farm Team", which is a rewards program available only by invitation from restaurant managers. The Farm Team members have access to a special Chipotle website, where members can earn rewards, i.e. free food and T-shirts. The site offers members to, "learn where Chipotle's food comes from, take quizzes and polls, play games and watch videos about the company". In April 2014, the Farm Team program was shut down. Chipotle sponsors Team Garmin-Barracuda (formerly Team Garmin-Chipotle, Team Garmin-Slipstream, Team Garmin-Transitions and Team Garmin-Cervélo) of the International Cycling Union, and is an official team partner of the Boston Celtics, and the Boston Bruins. In June 2009, Chipotle sponsored free screenings of Food, Inc., a film that criticizes the corporate food industry. Founder Steve Ells stated that he hoped the film would make customers appreciate Chipotle's Food With Integrity policy. From May until September 2009, Chipotle ran a contest on mychipotle.com, a microsite which had a competition for the best user-created audio and video presentations about different combinations of ingredients. In July 2010, Chipotle began a campaign to support healthier lunch alternatives for students, in which money will be donated to The Lunch Box program based on how many spam Emails consumers forward to a company Email address.
== Chemistry == 2C-B, also known as 4-bromo-2,5-dimethoxyphenethylamine, is a substituted phenethylamine of the 2C family, also known as the 4-substituted 2,5-dimethoxyphenethylamines. It is a synthetic analogue of the naturally occurring phenethylamine psychedelic mescaline found in peyote and certain other cacti.
Archives of Biochemistry and Biophysics is a biweekly peer-reviewed scientific journal that covers research in biochemistry and biophysics. It is published by Elsevier. As of 2012, the editors-in-chief were Paul Fitzpatrick (University of Texas Health Science Center at San Antonio), Helmut Sies (University of Düsseldorf), Jian-Ping Jin (Wayne State University School of Medicine), and Henry Jay Forman (University of Southern California). The journal was established in 1942 by Academic Press as the Archives of Biochemistry, obtaining its current name in 1952. It absorbed the journal Molecular Cell Biology Research Communications (formerly section B of Biochemical and Biophysical Research Communications), which was published from 1999 to 2001. An index to authors for the first 75 volumes, covering the period from 1943 to 1958, was published in October 1959.
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The process of converting an atom or molecule into an ion by adding or removing charged particles such as electrons or other ions can occur in the gas phase. These processes are an important component of gas phase ion chemistry. Associative ionization is a gas phase reaction in which two atoms or molecules interact to form a single product ion. A ∗ + B → A B + ∙ + e − {\displaystyle A^{*}+B\to AB^{+\bullet }+e^{-}} where species A with excess internal energy (indicated by the asterisk) interacts with B to form the ion AB+. One or both of the interacting species may have excess internal energy. Charge-exchange ionization (also called charge-transfer ionization) is a gas phase reaction between an ion and a neutral species A + + B → A + B + {\displaystyle A^{+}+B\to A+B^{+}} in which the charge of the ion is transferred to the neutral. In chemical ionization, ions are produced through the reaction of ions of a reagent gas with other species. Some common reagent gases include: methane, ammonia, and isobutane. Chemi-ionization can be represented by G ∗ + M → M + ∙ + e − + G
=== Physical properties === Technetium is a silvery-gray radioactive metal with an appearance similar to platinum, commonly obtained as a gray powder. The crystal structure of the bulk pure metal is hexagonal close-packed. Atomic technetium has characteristic emission lines at wavelengths of 363.3 nm, 403.1 nm, 426.2 nm, 429.7 nm, and 485.3 nm. The unit cell parameters of the orthorhombic Tc metal were reported when Tc is contaminated with carbon (a = 0.2805(4), b = 0.4958(8), c = 0.4474(5)·nm for Tc-C with 1.38 wt% C and a = 0.2815(4), b = 0.4963(8), c = 0.4482(5)·nm for Tc-C with 1.96 wt% C ). The metal form is slightly paramagnetic, meaning its magnetic dipoles align with external magnetic fields, but will assume random orientations once the field is removed. Pure, metallic, single-crystal technetium becomes a type-II superconductor at temperatures below 7.46 K (−265.69 °C; −446.24 °F). Below this temperature, technetium has a very high magnetic penetration depth, greater than any other element except niobium.
== History == Dated back to 1956, the first protein modified transition metal catalyst was documented. The Palladium(II) salt was absorbed onto silk fibroin fiber, reduced by hydrogen to get the first reported ArM, which can catalyze asymmetric hydrogenation. This work was not reproducible, but it is considered to be the first work in the field of artificial metalloenzymes. At that time, the major challenge that blocked further studies was underdeveloped protein production and purification technology. The first attempt to anchor an abiotic metal center onto a protein was reported by Whitesides et al. using biotin-avidin interaction, making an artificial hydrogenase. The presence of avidin can significantly increase the catalytic capacity of Rhodium(I) cofactor in aqueous phosphate buffer. Another pioneering work was conducted by Kaiser et al. where carboxypeptidase A (CPA) was repurposed into an oxidase by substituting Zn(II) center by Cu(II), for the oxidation of ascorbic acid. The real potential of ArMs was unleashed when recombinant protein production was developed, namely in 1997 Distefano and Davies reported a scaffold modification of a recombinant adipocyte lipid-binding protein (ALBP) with iodoacetamido-1,10-phenanthroline coordinating Cu(II) for the stereoselective hydrolysis of racemic esters.
In 2016, Burger King signed a build-to-suit lease agreement on a new 150,000 square feet (14,000 m2) five-story headquarters building to be built at 5707 Blue Lagoon Drive, just down the street from its existing nine-story headquarters at 5505 Blue Lagoon Drive. This was slightly smaller than the 200,000 square feet (19,000 m2) it was leasing in its current headquarters building at the time. In 2018, Burger King moved into its new headquarters at 5707 Blue Lagoon Drive. As of August 2024, the Burger King system operates more than 18,700 locations in more than 100 countries and U.S. territories.
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== Dosage and administration == Each benzhydrocodone/APAP immediate release tablet contains 6.12 mg of benzhydrocodone (equivalent to 6.67 mg of benzhydrocodone hydrochloride) and 325 mg of acetaminophen. The tablets are white, capsule-shaped and are debossed with "KP201" on one side. Dosing should start at one to two tablets every four to six hours, as needed for pain. The dosage should not exceed 12 tablets in a 24-hour period. The total dosage of benzhydrocodone/APAP and any other acetaminophen containing products should not exceed 4000 mg of acetaminophen in a 24-hour period.
In Britain, a half and half may mean a mixture of mild ale and bitter. In the North East of England, a request for a half and half would more commonly produce a combination of Scotch ale and India pale ale (IPA). This drink fell from favour when the Scottish & Newcastle brewery was obliged to sell many of their tied public houses and McEwan's Scotch and IPA disappeared from public bars across the North East. In Canada and the United States, Black and Tan refers to Guinness and a lager or ale that will support the Guinness, most commonly Bass Ale, although some Irish-themed bars shun the term for its association with the Royal Irish Constabulary's "Black and Tans" force. A Half and Half is Guinness and Harp. A Guinness and Smithwick's is a Blacksmith.
HO–CH2CH2–(O–CH2CH2)n+ + MXmRO− → HO–CH2CH2–(O–CH2CH2)n–OR + MXm H(O–CH2CH2)n–O–CH2–CH2+ + MXmRO− → H(O–CH2CH2)n–O–CH=CH2 + MXm + ROH Anionic polymerization of ethylene oxide is assisted by bases, such as alkoxides, hydroxides, carbonates, or other compounds of alkali or alkaline earth metals. The reaction mechanism is as follows:
=== BLOSUM === Dayhoff's methodology of comparing closely related species turned out not to work very well for aligning evolutionarily divergent sequences. Sequence changes over long evolutionary time scales are not well approximated by compounding small changes that occur over short time scales. The BLOSUM (BLOck SUbstitution Matrix) series of matrices rectifies this problem. Henikoff & Henikoff constructed these matrices using multiple alignments of evolutionarily divergent proteins. The probabilities used in the matrix calculation are computed by looking at "blocks" of conserved sequences found in multiple protein alignments. These conserved sequences are assumed to be of functional importance within related proteins and will therefore have lower substitution rates than less conserved regions. To reduce bias from closely related sequences on substitution rates, segments in a block with a sequence identity above a certain threshold were clustered, reducing the weight of each such cluster (Henikoff and Henikoff). For the BLOSUM62 matrix, this threshold was set at 62%. Pairs frequencies were then counted between clusters, hence pairs were only counted between segments less than 62% identical. One would use a higher numbered BLOSUM matrix for aligning two closely related sequences and a lower number for more divergent sequences. It turns out that the BLOSUM62 matrix does an excellent job detecting similarities in distant sequences, and this is the matrix used by default in most recent alignment applications such as BLAST.
is the liquid-air surface tension (force/unit length), θ is the contact angle, ρ is the density of liquid (mass/volume), g is the local acceleration due to gravity (length/square of time), and r is the radius of tube. As r is in the denominator, the thinner the space in which the liquid can travel, the further up it goes. Likewise, lighter liquid and lower gravity increase the height of the column. For a water-filled glass tube in air at standard laboratory conditions, γ = 0.0728 N/m at 20 °C, ρ = 1000 kg/m3, and g = 9.81 m/s2. Because water spreads on clean glass, the effective equilibrium contact angle is approximately zero. For these values, the height of the water column is
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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.
Karl Fischer titration is a common method, using coulometric or volumetric detection. Thermogravimetric analysis can also measure weight loss on heating. Results depend on sample handling because the dried solid can absorb moisture quickly.