The short version of Karl Fischer titration fits in a sentence. The long version — which is the one that helps — is below.
Reviewed 2026-01-24. Anything still debated is marked as such rather than presented as settled.
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.
Lyophilized products are typically stored as sealed solids in vials or syringes. Moisture ingress is a major concern because many dried cakes are hygroscopic and can lose stability when exposed to humid air. Storage temperature depends on the formulation; some products are kept refrigerated, while others are stable at room temperature. Container closure integrity and headspace moisture are often monitored. Light protection may also be required for some photosensitive materials.
Quality control for lyophilized materials includes visual inspection, residual moisture measurement, and reconstitution testing. Cake appearance can reveal process problems such as collapse, shrinkage, or meltback, although appearance alone does not prove potency. Residual moisture is commonly measured by Karl Fischer titration or by loss on drying. Reconstitution time is checked because a slow or incomplete dissolve can indicate a change in pore structure. Stability studies track these attributes over time under defined temperature and humidity conditions.
| Property | Value | Notes |
|---|---|---|
| Common name | Freeze-drying | Lyophilization is the technical synonym. |
| Typical chamber pressure | 0.01–0.1 mbar | Below the triple point of water. |
| Primary drying temperature | −40 to −10 °C | Depends on formulation and equipment. |
| Residual moisture | 1–5% | Target for many pharmaceutical products. |
| Typical equipment | Vacuum freeze-dryer | Includes drying chamber and condenser. |
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.
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.
Stability of a lyophilized product depends on its glass transition temperature, the temperature at which the amorphous cake transitions from a glassy to a rubbery state. Storage below this temperature minimizes molecular mobility and slows chemical degradation. If the storage temperature exceeds the glass transition temperature, the cake may collapse, shrink, or become sticky. Accelerated stability studies at elevated temperatures and humidity help predict shelf life, but they do not always reflect real-time behavior. Residual moisture content also plays a critical role in long-term stability.
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.
A freeze-dryer consists of a vacuum chamber, temperature-controlled shelves, a condenser, and a vacuum pump. Vials, ampoules, or bulk trays hold the product during the cycle. The condenser traps water vapor as ice at a temperature lower than the product. Cycle development balances shelf temperature, chamber pressure, and time. Scale-up can be difficult because heat and mass transfer change with equipment size, so process analytical tools and conservative validation are often used.
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.
The fruit is an achene, similar to sunflower seed, with a single seed inside a hard outer hull. The starchy endosperm is white and makes up most or all of buckwheat flour. The seed coat is green or tan, which darkens buckwheat flour. The hull is dark brown or black, and some may be included in buckwheat flour as dark specks. The dark flour is known as blé noir (black wheat) in French, along with the name sarrasin (saracen). Similarly, in Italy, it is known as grano saraceno (saracen grain). Buckwheat pasta is made in various shapes in Italy as pasta di grano saraceno, and as the flat ribbons of pizzoccheri. Buckwheat groats are commonly used in eastern Europe to make a porridge called kasha, often considered the definitive peasant dish. Buckwheat noodles are used in Tibet and Nepal to make thukpa soup. Similar noodles play a major role in the cuisines of Japan (soba) and Korea (naengmyeon, makguksu and memil-guksu). Soba noodles are the subject of deep cultural importance in Japan. The difficulty of making noodles from flour with no gluten has resulted in a traditional art developed around their manufacture by hand. A jelly called memilmuk in Korea is made from buckwheat starch. Local buckwheat variety from Bongpyeong, Korea, is known as Bongpyeong memil and is a powerful symbol for both cultural and gastronomic reasons. Yeasted patties called hrechanyky are made in Ukraine, whereas across the border, in southeastern Poland hreczanyki are thick patties of ground pork mixed with cooked buckwheat groats (kasza gryczana).
where the creatinine and blood urea nitrogen concentrations are both in mg/dL. The albumin concentration is in g/dL. These MDRD equations are to be used only if the laboratory has NOT calibrated its serum creatinine measurements to isotope dilution mass spectrometry (IDMS). When IDMS-calibrated serum creatinine is used (which is about 6% lower), the above equations should be multiplied by 175/186 or by 0.94086. Since these formulae do not adjust for body size, results are given in units of mL/min per 1.73 m2, 1.73 m2 being the estimated body surface area of an adult with a mass of 63 kg and a height of 1.7 m.
=== Recurring === Eme Ikwuakor as Elijah, an attorney at Jacobson Moore who was in a romantic relationship with Olympia Beau Bridges as Howard "Senior" Markston, a managing partner at Jacobson Moore, father of Julian, and soon-to-be ex-father-in-law of Olympia. He guardedly supports Olympia's career and efforts to develop a new revenue stream for the firm, telling her how he believes being father-in-law is a forever role. Patricia Belcher as Mrs. B, an administrative manager at Jacobson Moore. It is later revealed her full name is Emmalyn Belvin. Yael Grobglas as Shae Banfield, a jury consultant at Jacobson Moore Piper Curda as Kira, a woman who works at the information technology (IT) department at Jacobson Moore who begins a relationship with Sarah Marnee Carpenter as Ellie Kingston, Matty and Edwin's deceased daughter and Alfie's mother, who appears in flashbacks Andrea Londo as Simone, a recently hired junior associate at Jacobson Moore who attended the same law school as Sarah Niko Nicotera as Joseph "Joey" Danza, Alfie's father who is a drug addict Justina Machado as Eva (season 2), Senior's fourth ex-wife who is also a lawyer and member of the executive committee at Jacobson Moore James Lesure as Lester "The Wolf" Logan (season 2) Justin Cornwell as Mr. Hodges (season 2), Olympia's love interest who is also a lawyer Sarah Wright Olsen as Gwen (season 2), a productivity consultant evaluating Jacobson Moore Henry Haber as Hunter (season 2), an eager new associate on Olympia's team
Sources: en.wikipedia.org
== History == The Inner London Education Authority was established when the Greater London Council (GLC) replaced the London County Council (LCC) as the principal local authority for London in 1965. The LCC had, in 1904, taken over from the London School Board responsibility for education in Inner London. In what was to become Outer London, education was during the first half of the twentieth century primarily administered by the relevant county councils and county boroughs, with some functions delegated to second-tier councils in the area. The Herbert Commission report in 1960 recommended the establishment of the Greater London Council. It advocated a London-wide division of educational powers between the GLC and the London boroughs. The GLC would be responsible for strategic control of schools, and the boroughs for routine management. This part of the report was rejected by the government. Councils in the future Outer London area wanted greater control over education, preventing the creation of a London-wide local education authority (LEA), and there was strong opposition from teachers and other bodies to the idea of dividing up the LCC LEA. The London Government Act 1963 therefore created the ILEA to inherit the educational responsibilities of the LCC, and gave Outer London boroughs LEA status. The ILEA was originally conceived as a provisional body whose status would be reviewed before 1970, but the Labour government made its status permanent in 1965. The ILEA did not cover the small area of North Woolwich, where the LCC had provided a secondary school.
Historically to protect people's privacy and correspondence, the post banned tampering with letters, and excluded post offices from responsibility for letters even if the contents were for something illegal. As the internet developed, the original Information Society Directive 1998 aimed for something similar, so that internet server providers or email hosts, for instance, protected privacy. After this the Electronic Commerce Directive 2000 also sought to ensure free movement for an "information society service", requiring member states to not restrict them unless it was to fulfill a public policy, prevent crime, fight incitement to hatred, protect individual dignity, protect health, or protect consumers or investors. Articles 12 to 14 further said that an ISS operating as a "mere conduit" for information, doing "caching" or "hosting" is 'not liable for information stored' if the 'provider does not have actual knowledge of illegal activity' and 'is not aware of facts or circumstances from which the illegal activity or information is apparent', but must act quickly to remove or disable access 'upon obtaining knowledge or awareness'. Article 15 states that member states should 'not impose a general obligation on providers... to monitor the information which they transmit or store' nor 'seek facts' on illegality. However the meaning of who was an "ISS" was not clearly defined in law, and has become a problem with social media that was not meant to be protected like private communication.
There are several diagnostic and classification criteria have been proposed for dermatomyositis. Contemporary approaches generally combine clinical features with myositis-specific and myositis-associated autoantibody testing, supported by complementary laboratory, imaging, histopathologic, and electrophysiologic investigations. Some criteria are designed to establish a broad syndromic diagnosis of DM, whereas others provide greater granularity by identifying distinct autoantibody-defined clinical subsets. Despite these differences, the principal diagnostic features include:
Sources: en.wikipedia.org
Technological change is the largest cause of long-term economic growth. Throughout human history, energy production was the main constraint on economic development, and new technologies allowed humans to significantly increase the amount of available energy. First came fire, which made a wider variety of foods edible, and made it less physically demanding to digest them. Fire also enabled smelting and the use of tin, copper, and iron tools, used for hunting or tradesmanship. Then came the agricultural revolution: humans no longer needed to hunt or gather to survive, and began to settle in towns and cities, forming more complex societies, with militaries and more organized forms of religion. Technologies have contributed to human welfare through increased prosperity, improved comfort and quality of life, and medical progress, but they can also disrupt existing social hierarchies, cause pollution, and harm individuals or groups. Recent years have brought about a rise in social media's cultural prominence, with potential repercussions on democracy, as well as economic and social life. Early on, the Internet was seen as a "liberation technology" that would democratize knowledge, improve access to education, and promote democracy. Modern research has turned to investigate the Internet's downsides, including disinformation, polarization, hate speech, and propaganda. Since the 1970s, technology's impact on the environment has been criticized, leading to a surge in investment in solar, wind, and other forms of clean energy.
The Druze faith extended to many areas in the Middle East, but most of the modern Druze can trace their origin to the Wadi al-Taym in Southern Lebanon, which is named after an Arab tribe Taym Allah (or Taym Allat) which, according to Islamic historian al-Tabari, first came from the Arabian Peninsula into the valley of the Euphrates where they had been Christianized, and embraced Monophysite Christianity, prior to their migration into Lebanon. Many of the Druze feudal families, whose genealogies have been preserved by the two modern Syrian chroniclers Haydar al-Shihabi and Ahmad Faris al-Shidyaq, seem also to point in the direction of this origin. Arabian tribes emigrated via the Persian Gulf and stopped in Iraq on their route that would later to lead them to Syria. The first feudal Druze family, the Tanukhids, which made for itself a name in fighting the Crusaders was, according to Haydar al-Shihabi, an Arab tribe from Mesopotamia where it occupied the position of a ruling family and apparently was Christianized before they subscribed to the Druze religion. Since closing of the unitarian call, the Druze do not accept converts to their faith. In 1043, Baha al-Din al-Muqtana; one of the main leaders of the Druze religion, declared that the sect would no longer accept new adherents, and since that time, proselytism has been prohibited, awaiting al-Hakim's return on Judgement day to usher in a new golden age. Al-Muqtana's epistles comprise four of the six books of the Druze scripture, the Epistles of Wisdom.
1632–1723: Antonie van Leeuwenhoek taught himself to make lenses, constructed basic optical microscopes and drew protozoa, such as Vorticella from rain water, and bacteria from his own mouth. 1665: Robert Hooke discovered cells in cork, then in living plant tissue using an early microscope. In his book Micrographia he coined the term cell (from Latin cellula, meaning "small room") since they resembled the cells of a monastery. 1839: Theodor Schwann and Matthias Jakob Schleiden elucidated the principle that plants and animals are made of cells, concluding that cells are a common unit of structure and development, founding the cell theory. 1855: Rudolf Virchow stated that new cells come from pre-existing cells by cell division (omnis cellula ex cellula). 1931: Ernst Ruska built the first transmission electron microscope at the University of Berlin. By 1935, he had built an electron microscope with twice the resolution of a light microscope, revealing previously unresolvable organelles. 1981: Lynn Margulis published Symbiosis in Cell Evolution detailing how eukaryotic cells were created by symbiogenesis.
Austin held on to the WWF Championship until SummerSlam on August 22 when he lost it to Mankind in a triple threat match also featuring Triple H. in the two months that followed, Triple H would gain possession of the title. Austin would get his rematch at No Mercy on October 17 against Triple H, but Austin lost after The Rock accidentally struck him with a sledgehammer shot meant for Triple H. The three were advertised for a triple-threat match at Survivor Series on November 14, where Austin was run down by a car. The segment was to write him off television, with the neck injury suffered two years prior posing a real threat of early retirement, and was advised to undergo surgery. Austin would later describe this as "the worst storyline I was ever involved in". Austin made a one-off appearance at Backlash on April 30, 2000, attacking Triple H and Vince McMahon to help The Rock reclaim the WWF Championship. After Austin's official return at Unforgiven on September 24, Commissioner Mick Foley led an investigation to find out who ran Austin over, with the culprit revealed to be Rikishi. At No Mercy on October 22, Austin faced Rikishi in a No Holds Barred match, during which Austin attempted to run Rikishi down in a truck, but was prevented from doing so by officials, and the match was deemed a no contest; Austin was subsequently arrested. During a handicap match against Rikishi and Kurt Angle, Triple H came down with the apparent intention of teaming with Austin, only to hit Austin with a sledgehammer and reveal he had instructed Rikishi to run him over.
Sources: en.wikipedia.org
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.
A vacuum lowers the pressure below the triple point of water, allowing ice to sublimate directly into vapor without melting. It also removes water vapor from the product chamber and speeds up the drying process. Without vacuum, the ice would melt rather than sublimate.
Not all substances are suitable for lyophilization. Materials must form a stable frozen matrix and tolerate freezing and low pressure. Some small molecules, oils, or volatile compounds may not form a proper cake or may be lost during processing.
Most lyophilized products are stored in sealed containers at controlled temperature and humidity. Some require refrigeration, while others are stable at room temperature. Protection from light and moisture is often necessary.