If you have been reading about Eutectic temperature and want a single page that covers the useful parts, this is it: definitions, context, how it is studied, and the questions that come up repeatedly.
Last reviewed on 2025-08-09. Where a claim depends on a specific study, the study is described rather than over-claimed.
The low pressure used during drying allows water vapor to move from the ice surface to a cold condenser. Energy supplied as heat drives sublimation but must stay below the collapse temperature of the frozen matrix. If the product becomes too warm, the frozen structure may soften or melt, reducing pore formation and slowing drying. Formulations often include bulking agents, stabilizers, or buffers to support a rigid cake. The final moisture content depends on formulation, freezing rate, and the length of secondary drying.
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.
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.
After lyophilization, a product's quality depends on residual moisture, cake appearance, and reconstitution time. Residual moisture is often measured by Karl Fischer titration or thermogravimetric analysis. A low moisture content can slow chemical degradation, but overly dry cakes may be brittle or slow to dissolve. Stability studies track these attributes over months under defined temperature and humidity conditions. Batch records link these measurements to specific process runs and help identify trends before a product fails specification.
| Property | Value | Notes |
|---|---|---|
| Primary phase change | Sublimation | Ice changes directly to vapor under reduced pressure |
| Typical chamber pressure | 0.01–0.5 mbar (1–50 Pa) | Below the triple point of water; product-specific |
| Typical product temperature during primary drying | −40 °C to −10 °C | Kept below collapse temperature |
| Typical residual moisture | 0.5–3% w/w | Target range varies by formulation and use |
| Common synonyms | Freeze-drying; lyophilisation | Lyophilization is the US spelling |
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.
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.
Lyophilization is a dehydration process that removes water from a frozen material by sublimation under low pressure. The material is first frozen so that water becomes ice; then the surrounding pressure is lowered below the vapor pressure of ice. Heat is applied gently so ice changes directly to vapor without passing through a bulk liquid phase. The vapor is collected on a cold condenser, leaving a dry porous matrix. This process differs from simple evaporation because the material remains frozen during the main drying stage.
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.
Lyophilized solids are often hygroscopic, so handling occurs in controlled low-humidity areas or glove boxes when the material is exposed. Vials remain sealed with elastomeric stoppers and aluminum crimps until use, because airborne moisture can raise residual water and shorten shelf life. The porous cake is fragile and may crack, shrink, or powder during transport. Personnel typically avoid repeated warming and cooling of sealed units, which can draw moisture through closures. These practices aim to preserve the low water content achieved during drying.
Storage conditions depend on the formulation and the intended shelf life. Many pharmaceutical and biological freeze-dried products are kept at 2–8 °C, while some stable foods and reagents tolerate room temperature. Others require −20 °C or colder to slow chemical degradation or aggregation. Protection from light and oxygen is common because oxidation can continue in the dry state. Stability studies usually monitor potency, appearance, moisture, and reconstitution time over months or years. Predictions from accelerated studies are useful but may not fully capture real-time changes.
Hindu-Arabic numerals were not originally designed to indicate their numeric value through the number of angles they contain. There are no historical records of this, and the myth is difficult to reconcile with digits past 3 or 4. The Greek philosopher Pythagoras was not the first to discover what is now called the Pythagorean theorem, as it was known and used by the Babylonians and Indians centuries before him. Pythagoras may have been the first to introduce it to the Greeks, but the first record of it being mathematically proven as a theorem is in Euclid's Elements which was published some 200 years after Pythagoras. There is no evidence that the ancient Greeks deliberately designed the Parthenon to match the golden ratio. The Parthenon was completed in 438 BCE, more than a century before the first recorded mention of the ratio by Euclid. Similarly, Leonardo da Vinci's Vitruvian Man makes no mention of the golden ratio in its text, although it describes many other proportions. The repeating decimal written as 0.999... represents exactly the same quantity as 1. The p-value is not the probability that the null hypothesis is true, or the probability that the alternative hypothesis is false; it is the probability of obtaining results at least as extreme as the results actually observed under the assumption that the null hypothesis was correct, which can indicate the incompatibility of results with the specific statistical model assumed in the null hypothesis. This misconception, and similar ones like it, contributes to the common misuse of p-values in education and research.
== Business model == Dutch Bros operates as a chain. The vast majority of its stores have no indoor seating and are walk-up or drive-thru stands. Each store sells hot and cold drinks, including non-coffee options (including tea, milkshakes, and sparkling sodas) and a selection of baked goods. The company started franchising in 1999. In 2008, Dutch Bros transitioned to an internal franchising model that required potential franchisees to have worked for the company for a minimum of three years. This resulted in a 97% continuity rate among franchises; between 2010 and 2015, only 3% of all Dutch Bros franchise locations closed. In 2017, Dutch Bros stopped franchising and started opening only company-owned stores. As of June 2021, franchisees were running 264 Dutch Bros stores and another 207 were fully company-owned. The company has a history of buying out franchisees that failed to meet the company's customer-service standards.
Dextromethorphan is a cough suppressant used in many cough and cold medicines. In 2022, the US Food and Drug Administration (FDA) approved the combination dextromethorphan/bupropion to serve as a rapid-acting antidepressant in people with major depressive disorder. It is in the morphinan class of medications with dissociative and stimulant properties (at lower doses). Dextromethorphan does not have a significant affinity for the mu-opioid receptor activity typical of morphinan compounds and exerts its therapeutic effects through several other receptors. In its pure form, dextromethorphan occurs as a white powder. When exceeding approved dosages, dextromethorphan acts as a dissociative hallucinogen. It has multiple mechanisms of action, including actions as a nonselective serotonin–norepinephrine reuptake inhibitor and a sigma-1 receptor agonist. Dextromethorphan and its major metabolite dextrorphan also block the NMDA receptor at high doses, producing effects similar to those of other dissociative anesthetics such as ketamine, nitrous oxide, and phencyclidine. It was patented in 1949 and approved for medical use in 1953. In 2023, the combination with promethazine was the 252nd most commonly prescribed medication in the United States, with more than 1 million prescriptions; and the combination with brompheniramine and pseudoephedrine was the 281st most commonly prescribed medication in the United States, with more than 700,000 prescriptions.
Alpha decay or α-decay is a type of radioactive decay in which an atomic nucleus emits an alpha particle (helium nucleus). The parent nucleus transforms or "decays" into a daughter product, with a mass number that is reduced by four and an atomic number that is reduced by two. An alpha particle is identical to the nucleus of a helium-4 atom, which consists of two protons and two neutrons. For example, uranium-238 undergoes alpha decay to form thorium-234. While alpha particles have a charge +2 e, this is not usually shown because a nuclear equation describes a nuclear reaction without considering the electrons – a convention that does not imply that the nuclei necessarily occur in neutral atoms. Except for beryllium-8 (which decays to two alpha particles), alpha decay typically occurs in the heaviest nuclides. Theoretically, it can occur only in nuclei somewhat heavier than nickel (element 28), where the overall binding energy per nucleon is no longer a maximum and the nuclides are therefore unstable toward spontaneous fission-type processes. In practice, this mode of decay has only been observed in nuclides considerably heavier than nickel, with the lightest known alpha emitter (other than beryllium-8) being the second lightest isotope of antimony, 104Sb. Alpha decay is by far the most common form of cluster decay, where the parent atom ejects a defined daughter collection of nucleons, leaving another defined product behind. It is the most common form because of the combined extremely high nuclear binding energy and relatively small mass of the alpha particle.
== Actions == The Council announced a state of emergency in Port Sudan during tribal clashes which resulted in the death of 16 people on 26 August 2019. In November 2019, Abdalla Hamdok's government repealed all laws restricting women's freedom of dress, movement, association, work and study. On 22 April 2020, the transitional government issued an amendment to its criminal legislation which declares that anyone who performs female genital mutilation either in a medical establishment or elsewhere will be punished by three years' imprisonment and a fine.
Sources: en.wikipedia.org
Tears (tear film) are a transparent fluid secreted primarily by the lacrimal glands (tear gland) found in the eyes of all land mammals. According to the mode of production, tears are classified into four types: basal, closed eye, emotional, and reflex. The basal rate of tear secretion is ~0.5–2.2 μL/min, and irritation can increase secretion by up to ~100-fold, reaching ~300 μL/min. Tears are made up of water, electrolytes, proteins, lipids, and mucins that form layers on the surface of eyes. The four types of tears differ significantly in their composition.
=== Medical research relevance === Enzymatic specificity provides useful insight into enzyme structure, which ultimately determines and plays a role in physiological functions. Specificity studies also may provide information of the catalytic mechanism. Specificity is important for novel drug discovery and the field of clinical research, with new drugs being tested for its specificity to the target molecule in various rounds of clinical trials. Drugs must contain as specific as possible structures in order to minimize the possibility of off-target affects that would produce unfavorable symptoms in the patient. Drugs depend on the specificity of the designed molecules and formulations to inhibit particular molecular targets. Novel drug discovery progresses with experiments involving highly specific compounds. For example, the basis that drugs must successfully be proven to accomplish is both the ability to bind the target receptor in the physiological environment with high specificity and also its ability to transduce a signal to produce a favorable biological effect against the sickness or disease that the drug is intended to negate.
Woods and his family are targeted in a campaign of harassment by the security police, including bullets fired into the family home, vandalism, and the delivery of t-shirts with Biko's image that have been dusted with itching powder. He later decides to seek asylum in Britain in order to expose the corrupt and racist nature of the South African authorities. After a long trek, Woods is eventually able to escape to the Kingdom of Lesotho, disguised as a priest. His wife Wendy and their family later join him. With the aid of Australian journalist Bruce Haigh, the British High Commission in Maseru, and the Government of Lesotho, they are flown under United Nations passports and with one Lesotho official over South African territory, via Botswana, to London, where they were granted political asylum. The film's epilogue displays a long list of anti-apartheid activists (including Biko), who died under suspicious circumstances while imprisoned by the Government whilst the song Nkosi Sikelel' iAfrika is sung.
On June 7, 2021, the first-look images for the character of Soldier Boy were revealed through Twitter, which were followed by the first look images of the character of Crimson Countess released on November 5, 2021. The first footage of the season was unveiled on January 7, 2022, shortly after the release of Seven on 7's last episode which was released the same day. It was followed by the release of the season first poster which was released on March 10, consisting of Butcher's eyes glowing red. It was followed by the release of a red band teaser trailer just two days later. Alexandra Del Rosario from Deadline said that the trailer brought suspense by teasing what is coming to the season while also offering "plenty of gore in store for The Boys fans". Vlada Gelman writing for TVLine considered the trailer to be "jam-packed". Indie Wire's Samantha Bergerson deemed that the teaser offers a "bevy of blood, guts, and tears as humans and supes alike battle it out", even if it doesn't include any dialogue. During the course of a week, it was confirmed that the trailer was flagged more than 20 million times due to its graphic content. The official trailer was officially released on May 16. Pete Volk of the Polygon considered that the trailer offer glimpses of "Homelander's press tour after the events of season", as well as more details regarding Soldier Boy and the expected amount of blood for the season.
Sources: en.wikipedia.org
The staff union won 3.5 percent pay increases in 1998 and 1999 and lump-sum bonuses paid in 1996 and 1997, enhancements to the dental plan, and concessions on the prescription drug plan and seniority rights. Sheedy's re-election campaign was a difficult, and ultimately unsuccessful, one. Beginning in the spring of 1996, Roger Benson began putting together a statewide organization ("Members First") and publishing an alternative newsletter. Benson put together a full slate of officers and formally launched his campaign at PEF's October 1996 convention. Benson announced a four-part platform: 1) Establishment of a PEF department focused on protecting employment security; 2) Budgeting substantial resources to enforce the Civil Service merit system; 3) Employment of a full-time professional contract negotiator; and 4) Elimination of officer perks. A third candidate, Jim Israel (a PEF shop steward), entered the race in January 1997 but withdrew when he was unable to obtain enough signatures to secure his nomination. Benson's slate of candidates included Jane Hallum (a computer programmer) for secretary-treasurer and future PEF president Kenneth Brynien as an executive board member. Sheedy and Benson battled over the state pension surplus, and engaged in a letter-to-the-editor war in the newspapers. Benson promised not to raise dues and re-open union offices, while Sheedy admitted a dues hike might be necessary in 1999. In June 1997, Benson defeated Sheedy by a vote of 11,407 to 8,956.
In both pharmacology and nutrition sciences, bioavailability is measured by calculating the area under curve (AUC) of the drug concentration time profile. Bioavailability is a term used to describe the percentage of an administered dose of a xenobiotic that reaches the systemic circulation unchanged. It is denoted by the letter f (or, if expressed in percent, by F). In nutritional science, which covers the intake of nutrients and non-drug dietary ingredients, the concept of bioavailability lacks the well-defined standards associated with the pharmaceutical industry. The pharmacological definition cannot apply to these substances because utilization and absorption is a function of the nutritional status and physiological state of the subject, resulting in even greater differences from individual to individual (inter-individual variation). Therefore, bioavailability for dietary supplements can be defined as the proportion of the administered substance capable of being absorbed and available for use or storage.
Plutonium was first synthesized in 1940 and isolated in 1941 by chemists at the University of California, Berkeley. The Manhattan Project began shortly after the discovery, with most early research (pre-1944) carried out using small samples manufactured using the large cyclotrons at the Berkeley Rad Lab and Washington University in St. Louis. Much of the difficulty encountered during the Manhattan Project regarded the production and testing of nuclear fuel. Both uranium and plutonium were eventually determined to be fissile, but in each case they had to be purified to select for the isotopes suitable for an atomic bomb. With World War II underway, the research teams were pressed for time. Micrograms of plutonium were made by cyclotrons in 1942 and 1943. In late 1943 Robert Oppenheimer is quoted as saying "there's only a twentieth of a milligram in existence." By his request, the Rad Lab at Berkeley made available 1.2 mg of plutonium by the end of October 1943, most of which was taken to Los Alamos for theoretical work there. The world's second reactor, the X-10 Graphite Reactor built at a secret site at Oak Ridge, would be fully operational in 1944. In November 1943, shortly after its initial start-up, it produced a minuscule 500 mg. However, this plutonium was mixed with large amounts of uranium fuel and destined for the nearby chemical processing pilot plant for isotopic separation (enrichment). Gram amounts of plutonium would not be available until early 1944.
Sources: en.wikipedia.org
Lyophilization relies on sublimation, so water moves from solid ice to vapor without becoming liquid. The material is frozen, pressure is reduced, and controlled heat is supplied. Vapor is captured on a cold condenser, leaving a dry porous solid.
The process has three main stages: freezing, primary drying, and secondary drying. Freezing sets the ice structure, primary drying removes free ice, and secondary drying removes bound water. Each stage uses specific temperature, pressure, and time settings.
No, it is a drying method rather than a sterilization method. Removing water can limit microbial growth, but it does not reliably kill microorganisms. Sterility must come from separate steps such as filtration, heat treatment, or aseptic processing.
Karl Fischer titration is a common reference method that quantifies water by a chemical reaction. Thermogravimetric analysis can also estimate moisture by weight loss on heating. Method choice depends on sample size and whether other volatile substances are present.