This is a working overview of sublimation, written for readers who want more than a one-paragraph summary but less than a textbook.
Reviewed 2026-01-11. Anything still debated is marked as such rather than presented as settled.
Residual moisture is a key quality attribute for lyophilized products. Water that remains after secondary drying can affect chemical stability, cake structure, and shelf life. Karl Fischer titration is a common method for measuring water content in the dried solid. The target range varies by product, but many biologics are dried to between 0.5% and 3% water by weight. Acceptable limits are set during development and confirmed by stability studies.
Stability studies examine how temperature, humidity, and time influence a lyophilized product. Accelerated conditions provide early information about degradation pathways, while long-term studies support shelf-life claims. The glass transition temperature of the dried formulation can indicate its physical stability, and storage above this temperature may increase molecular mobility and lead to collapse or aggregation. Container closure integrity also matters because moisture or oxygen ingress can degrade the product, so vial stoppers and seals are part of the quality system.
Handling and storage practices aim to keep the cake intact and dry. Vials are typically stored upright at controlled temperatures, often between 2 °C and 8 °C or at -20 °C for longer-term use. Reconstitution involves adding a suitable diluent and gently mixing until the solid dissolves. Shaking or rapid injection of diluent can create foam or damage sensitive molecules. Once reconstituted, the product may require refrigeration and use within a defined period.
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.
A typical cycle begins with freezing, which fixes the material into a solid and determines ice crystal size. Primary drying then raises heat under vacuum so ice sublimes, often near or below the collapse temperature of the formulation. Secondary drying removes bound water that remains after ice is gone, usually by gently warming the product. Each stage balances heat input against pressure to avoid melting or structural damage. Temperature probes and pressure sensors guide the transition between stages.
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.
| Property | Value | Notes |
|---|---|---|
| Residual moisture | 0.5-3% w/w | Typical range for many biopharmaceuticals |
| Typical storage temperature | 2-8 °C | Some products require -20 °C or lower |
| Reconstitution time | Seconds to several minutes | Depends on cake porosity and diluent |
| Common moisture method | Karl Fischer titration | Measures water content in the solid |
| Container closure | Stoppered vial with seal | Protects against moisture and oxygen ingress |
Storage conditions for dried products usually aim to exclude moisture and oxygen. Vials are sealed under vacuum or with an inert gas, and stoppers must maintain a barrier during transport. Temperature recommendations vary; some materials remain stable at room temperature, while others need refrigeration or frozen storage. Humidity control is critical because dried cakes can absorb water rapidly once a container is opened. Desiccant packs and moisture-barrier bags add further protection during shipping.
Quality control also examines cake structure, color, and reconstitution behavior. A collapsed or shrunken cake can indicate a thermal excursion during drying. Analytical methods such as X-ray diffraction, differential scanning calorimetry, and near-infrared spectroscopy can detect crystallinity or moisture distribution. Regulatory expectations focus on validated assays and lot-to-lot consistency. Questions remain about how well accelerated stability tests predict long-term behavior for every formulation. Visual inspection remains common but is subjective without trained reviewers and reference images.
Lyophilization, also called freeze-drying, removes water from a frozen material by sublimation under reduced pressure. The process begins with freezing, which converts free water into ice and may also produce a glassy phase. Primary drying then lowers chamber pressure so ice sublimes directly to vapor without passing through a liquid stage. Secondary drying raises the temperature modestly to remove bound water. The result is a porous, dry solid that usually reconstitutes quickly. Each stage influences pore structure, residual moisture, and stability.
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.
Armstrong has been conferred the title of Visiting Professor at the University of Manchester College of Medicine, the University of Cardiff College of Medicine, the Raine Visiting Professor (the first to be named twice) at the University of Western Australia, the University of Cincinnati during its 200th anniversary, and the Complutense University of Madrid. In 2024, he was the first podiatric surgeon to deliver grand rounds at the University of Padova's Department of Plastic and Reconstructive Surgery, and the first podiatric surgeon to be appointed Visiting Professor of Surgery at the University of Massachusetts Medical School. He was also named Singapore Ministry of Health Visiting Professor and Expert in Limb Preservation in 2024. In 2023, Armstrong was honored with the Karel Bakker Limb Preservation Award at the International Symposium on the Diabetic Foot in The Hague. Also in 2023, Armstrong received the Distinguished Investigator Award from the Association for Clinical and Translational Science (ACTS). In 2024, Armstrong was honored with the inaugural Lifetime Achievement Award by the Diabetic Foot Society of India at a combined conference of DFSI, D-Foot International, and the International Association of Diabetic Foot Surgeons in Mumbai. That same year, he delivered the 38th Prof. M. Viswanathan Gold Medal Oration at the MV Hospital for Diabetes in Chennai. In 2006, Armstrong was awarded the Father of the Year Award by the National Father's Day Council and the Chicago Area American Diabetes Association.
Denaturation stage. DNA is denatured at a high temperature – usually 94 °C (201 °F). Intermediate annealing stage. Set an intermediate annealing temperature that allows hybridization of mutant and wildtype allele DNA to one another. Because the mutant allele DNA forms the minority of DNA in the mixture they will be more likely to form mismatch heteroduplex DNA with the wildtype DNA. Melting stage. These heteroduplexes will more readily melt at lower temperatures. Hence they are selectively denatured at the Tc. Primer annealing stage. The homo-duplex DNA will preferentially remain double stranded and not be available for primer annealing. Extension stage. The DNA polymerase will extend complementary to the template DNA. Since the heteroduplex DNA is used as template, a larger proportion of minor variant DNA will be amplified and be available for subsequent rounds of PCR. There are two forms of COLD-PCR that have been developed to date. Full COLD-PCR and fast COLD-PCR.
Bog bodies are human remains which have been discovered in peat bogs around the world. They have been preserved naturally to varying degrees due to the specific conditions of peat bogs. Despite their natural preservation, these remains are sensitive to deterioration after being removed from their original locations. Freeze-drying is an accepted method of preserving bog bodies in museum collections. Some bog body discoveries include the Tollund Man of Denmark, the Elling Woman of Denmark, the Cashel Man of Ireland, the Huldremose Woman of Denmark, the Girl of the Uchter Moor of Germany, the Lindow Man of England, and the Yde Girl of the Netherlands. For a more comprehensive list of examples, see List of bog bodies. A record of the preservation of the Tollund Man's head, which took place in 1951 and involved replacing the bog water in the cells with liquid paraffin wax, can be read on the Tollund Man's website hosted by the Silkeborg Public Library, Silkeborg Museum, and Amtscentret for Undervisning.
Sources: en.wikipedia.org
==== Stability ==== A disadvantage of using nanocrystals for drug delivery is nanocrystal stability. Instability problems of nanocrystalline structures derive from thermodynamic processes such as particle aggregation, amorphization, and bulk crystallization. Particles at the nanoscopic scale feature a relative excess of Gibbs free energy, due to their higher surface area to volume ratio. To reduce this excess energy, it is generally favorable for aggregation to occur. Thus, individual nanocrystals are relatively unstable by themselves and will generally aggregate. This is particularly problematic in top-down production of nanocrystals. Methods such as high-pressure homogenization and bead milling, tend to increase instabilities by increasing surface areas; to compensate, or as a response to high pressure, individual particles may aggregate or turn amorphous in structure. Such methods can also lead to the reprecipitation of the drug by surpassing the solubility beyond the saturation point (Ostwald ripening). One method to overcome aggregation and retain or increase nanocrystal stability is by use of stabilizer molecules. These molecules, which interact with the surface of the nanocrystals and prevent aggregation via ionic repulsion or steric barriers between the individual nanocrystals, include surfactants and are generally useful for stabilizing suspensions of nanocrystals. Concentrations of surfactants that are too high, however, may inhibit nanocrystal stability and enhance crystal growth or aggregation.
Because a dalton, a unit commonly used to measure atomic mass, is exactly 1/12 of the mass of a carbon-12 atom, this definition of the mole entailed that the mass of one mole of a compound or element in grams was numerically equal to the average mass of one molecule or atom of the substance in daltons, and that the number of daltons in a gram was equal to the number of elementary entities in a mole. Because the mass of a nucleon (i.e. a proton or neutron) is approximately 1 dalton and the nucleons in an atom's nucleus make up the overwhelming majority of its mass, this definition also entailed that the mass of one mole of a substance was roughly equivalent to the number of nucleons in one atom or molecule of that substance. Since the definition of the gram was not mathematically tied to that of the dalton, the number of molecules per mole NA (the Avogadro constant) had to be determined experimentally. The experimental value adopted by CODATA in 2010 is NA = 6.02214129(27)×1023 mol−1. In 2011 the measurement was refined to 6.02214078(18)×1023 mol−1. The mole was made the seventh SI base unit in 1971 by the 14th CGPM.
Atul Kohli, professor of politics and international affairs at Princeton University Daman Singh (born 1963), Indian author Gursharan Kaur (born 1937), Indian historian, professor and author Upinder Singh (born 1958), Indian historian, professor and author
=== Jabbar Trussell Braverman === Jabbar Trussell (Tyree Brown) is Jasmine and Crosby's son. He is five years old during the show's first season. He is recurring in season one, but is promoted to a regular role for all subsequent seasons.
Sources: en.wikipedia.org
== External links == Asadzadeh, Afsoon; Pakkhoo, Saba; Saeidabad, Mahsa Mirzaei; Khezri, Hero; Ferdousi, Reza (1 January 2020). "Information technology in emergency management of COVID-19 outbreak". Informatics in Medicine Unlocked. 21 100475. doi:10.1016/j.imu.2020.100475. ISSN 2352-9148. PMC 7661942. PMID 33204821., a scientific review for an overview of how IT applications could be used during the COVID-19 outbreak and pandemic
== Excitonic properties == First-principle calculations incorporating quasiparticle corrections and many-body effects have been employed to study the electronic and optical properties of graphene-based materials. The approach was described as three stages. With GW calculation, the properties of graphene-based materials were accurately investigated, including bulk graphene, nanoribbons, edge and surface functionalized armchair ribbons, hydrogen saturated armchair ribbons, Josephson effect in graphene SNS junctions with single localized defect and armchair ribbon scaling properties.
== Natural occurrences == Hydroquinones are one of the two primary reagents in the defensive glands of bombardier beetles, along with hydrogen peroxide (and perhaps other compounds, depending on the species), which collect in a reservoir. The reservoir opens through a muscle-controlled valve onto a thick-walled reaction chamber. This chamber is lined with cells that secrete catalases and peroxidases. When the contents of the reservoir are forced into the reaction chamber, the catalases and peroxidases rapidly break down the hydrogen peroxide and catalyze the oxidation of the hydroquinones into p-quinones. These reactions release free oxygen and generate enough heat to bring the mixture to the boiling point and vaporize about a fifth of it, producing a hot spray from the beetle's abdomen. Hydroquinone is thought to be the active toxin in Agaricus hondensis mushrooms. Hydroquinone is one of the chemical constituents of the natural product propolis. It is also one of the chemical compounds found in castoreum. This compound is gathered from the beaver's castor sacs.
Sources: en.wikipedia.org
Residual moisture can influence chemical degradation, cake collapse, and long-term stability. Low moisture levels usually improve stability, but each product has an optimal range.
Most lyophilized products are stored upright at controlled temperatures, often refrigerated or frozen. Protection from moisture and light helps maintain the dried cake.
A diluent is added to the dried cake, which dissolves to form a solution or suspension. Gentle mixing avoids foaming and preserves sensitive molecules.
Primary drying removes ice by sublimation under vacuum. Secondary drying removes water that is bound to the material, often by warming the product after most ice has left. Both stages occur below temperatures that would cause unwanted melting.