Karl Fischer is one of those subjects where the details matter more than the headlines. This page pulls together the background, the mechanisms, and the practical points readers ask about most.
Last reviewed on 2025-11-08. Where a claim depends on a specific study, the study is described rather than over-claimed.
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.
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.
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.
| 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. |
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.
A typical cycle begins with freezing, sometimes including an annealing step to control ice crystal size. Freezing conditions influence the pore network that later allows vapor escape. During primary drying, shelf temperature and chamber pressure are set so heat enters the product while its temperature stays below the collapse or eutectic point. Secondary drying then raises the shelf temperature to desorb bound water and lower residual moisture. Cycle design depends on formulation, fill volume, container type, and equipment capability.
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.
Quality control for freeze-dried lots combines visual inspection with instrumental tests. Cake appearance, color, and shrinkage are recorded against a reference, while residual moisture is measured by Karl Fischer titration or loss on drying. Thermal analysis can reveal phase transitions and crystallization events, and X-ray diffraction distinguishes amorphous from crystalline solids. Microbiological tests and container closure integrity checks are also routine for sterile products. Analytical methods must be validated for the matrix, because excipients and low moisture can affect accuracy. Open questions include how best to predict long-term stability from short-term data.
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.
Lyophilization, or freeze-drying, removes water from a material by freezing it and then lowering pressure so ice changes directly to vapor. The process relies on sublimation, the phase transition from solid to gas without an intervening liquid state. It is used for heat-sensitive materials that would degrade in conventional drying. The three stages are freezing, primary drying, and secondary drying, each with distinct temperature and pressure requirements. In practice, cycle design balances these variables.
Benzodiazepines share a similar chemical structure, and their effects in humans are mainly produced by the allosteric modification of a specific kind of neurotransmitter receptor, the GABAA receptor, which increases the overall conductance of these inhibitory channels; this results in the various therapeutic effects as well as adverse effects of benzodiazepines. Other less important modes of action are also known. The term benzodiazepine is the chemical name for the heterocyclic ring system (see figure to the right), which is a fusion between the benzene and diazepine ring systems. Under Hantzsch–Widman nomenclature, a diazepine is a heterocycle with two nitrogen atoms, five carbon atom and the maximum possible number of cumulative double bonds. The "benzo" prefix indicates the benzene ring fused onto the diazepine ring. Benzodiazepine drugs are substituted 1,4-benzodiazepines, although the chemical term can refer to many other compounds that do not have useful pharmacological properties. Different benzodiazepine drugs have different side groups attached to this central structure. The different side groups affect the binding of the molecule to the GABAA receptor and so modulate the pharmacological properties. Many of the pharmacologically active "classical" benzodiazepine drugs contain the 5-phenyl-1H-benzo[e][1,4]diazepin-2(3H)-one substructure (see figure to the right). Benzodiazepines have been found to mimic protein reverse turns structurally, which enables them to exert their biological activity in many cases.
Duterte has been described as a populist, with his foul-mouthed remarks against the country's elite which positioned him as a "man of the people" and was critical to his victory in the 2016 presidential election. He has also been compared to U.S. President Donald Trump for his rhetorical style. Duterte and his administration have been criticized for his anti-drug campaign, foreign policies, human rights record, extrajudicial killings during his term, political views, and controversial comments. Despite the criticisms on his administration, throughout his career, Duterte's remained hugely popular, attributed to his man-of-the-people style and a perception of strong leadership and success in fighting crime and corruption, while opponents reproach him for his authoritarian style and low tolerance of dissent. Analysts attribute his continued popularity to his emotional connection to the public, citing his charisma and humor, tough-talking manner, his image as a father figure as Tatay Digong (Father Digong), and Filipinos' general interest in strong leaders. A Social Weather Stations study concluded that there are multiple reasons for Duterte's high satisfaction ratings in surveys; these include his strong base support, satisfaction with the administration's overall governance (pamamalakad) and with some policy issues which include helping the poor and the drug war, and his character. Poll respondents who relate to or are attracted to some aspects of his character, such as his perceived decisiveness and diligence tend to be satisfied.
She explained "For Ari, the attraction for Mac would be that he provides her with groundings. His energy allows her to feel safe and protected and I guess relaxed, because she can be quite a buzz in the brain, quite a stress head and that's something that really attracts her to his energy." Weir thought Ari was more likely to prioritise her, while Tane would bring too much drama and chaos into her life. Weir also told Kilkelly that as things between Ari and Mac become more serious, Mac finds that Tane is not "a temptation" and she can fully commit to Ari and their future. In scenes filmed in the Blue Mountains, Mac joins the brothers as they search for Nikau and his girlfriend Bella Nixon (Courtney Miller), who needs to return for a police interview. Weir said that Mac is pleased when Ari and Tane temporarily set aside their differences to find Nikau and Bella. While Mac is staying with the Paratas, Ari soon notices the tension between her and Tane. After Tane admits that he is struggling to be himself around Mac, she decides to move in with Ziggy Astoni (Sophie Dillman), just as Ari asks her to move in permanently. As Mac thinks the offer over, Ari runs out of patience and he questions whether she is as committed to their relationship as he is. Mac moves out and Ari takes his anger out on Tane, before his suspicions lead him to give Mac an ultimatum about the status of their relationship. The arrival of Ari's stepdaughter Chloe Anderson (Sam Barrett) and her mother Mia Anderson (Anna Samson) in February 2021 leads to the end of his relationship with Mac.
The gastrointestinal tract has a form of general histology with some differences that reflect the specialization in functional anatomy. The GI tract can be divided into four concentric layers in the following order:
Sources: en.wikipedia.org
Shalek (2004), professor at Institute for Medical Engineering and Science, Massachusetts Institute of Technology Kerstin Perez (2005), particle physicist and professor at Columbia University Daniel Harlow (2006), professor at Massachusetts Institute of Technology, winner of the 2019 New Horizons in Physics Prize Aaron Roth (2006), professor of computer science at University of Pennsylvania Andrea Young (2006), experimental physicist at the University of California, Santa Barbara, winner of the 2018 New Horizons in Physics Prize Julia Kalow (2008), chemist, professor at Northwestern University Calvin Sun (2008), emergency room doctor known for his first-hand reporting on the COVID-19 pandemic in New York City
== Jung's wound == Scholars suggest that Jung's childhood vulnerabilities compelled him to heal his own life. Jung stated that "certain psychic disturbances can be extremely infectious if the doctor himself has a latent predisposition in that direction...For this reason he runs a risk - and must run it in the nature of things". Further he stated that "it is no loss, either, if [the analyst] feels that the patient is hitting him, or even scoring off him: it is his own hurt that gives the measure of his power to heal". Jungians acknowledge that Jung's own wounds could cause damage to those he was attempting to heal.
About 9% of those who experiment with marijuana eventually become dependent according to DSM-IV (1994) criteria. A 2013 review estimates daily use is associated with a 10–20% rate of dependence. The highest risk of cannabis dependence is found in those with a history of poor academic achievement, deviant behavior in childhood and adolescence, rebelliousness, poor parental relationships, or a parental history of drug and alcohol problems. Of daily users, about 50% experience withdrawal upon cessation of use (i.e. are dependent), characterized by sleep problems, irritability, dysphoria, and craving. Cannabis withdrawal is less severe than withdrawal from alcohol. According to DSM-5 criteria, 9% of those who are exposed to cannabis develop cannabis use disorder, compared to 20% for cocaine, 23% for alcohol and 68% for nicotine. Cannabis use disorder in the DSM-5 involves a combination of DSM-IV criteria for cannabis abuse and dependence, plus the addition of craving, without the criterion related to legal troubles.
Body mass index (BMI) is a value used to get a general sense of a person's overall mass and is calculated using a person's height and weight. It is more often used than weight alone to determine if an individual is underweight, normal weight, overweight, or obese. The following two equations can used to calculate BMI depending on the units used for height (meters vs. inches) and weight (kilograms vs. pounds):
The major benefit of the indirect methodology is that conventional achiral stationary phase/mobile phase system may be used for the separation of the generated diastereomers. Thus, considerable flexibility in chromatographic conditions is available to achieve the desired separation and to eliminate interferences from metabolites and endogenous substances. Moreover, the sensitivity of the method can be enhanced by sensible choice of the CDA and the chromatographic detection system. But this indirect approach to enantiomeric analysis has some potential problems. These include availability of a suitable functional group on the enantiomer for derivatization, enantiomeric purity of the CDA, racemization of the CDA during derivatization, and racemization of the analyte during the derivatization. Currently, however, the application of indirect analytical approaches is in decline.
Sources: en.wikipedia.org
The International Campaign to Abolish Nuclear Weapons (ICAN) is an international alliance of non-governmental organizations committed to the elimination of all nuclear weapons through a binding international treaty - a Nuclear Weapons Convention. ICAN was founded in 2007 by IPPNW (International Physicians for the Prevention of Nuclear War) and other organizations at the Nuclear Non-Proliferation Treaty Conference in Vienna and launched in twelve countries. Today, 468 organizations in 101 countries are involved in the campaign (as of 2017). ICAN was awarded the 2017 Nobel Peace Prize.
Parmotrema perlatum is used as a spice, particularly in the cuisine of Tamil Nadu. It is especially prevalent in Chettinad cuisine, being used in the popular rice dish biryani, and also in many meat and vegetarian dishes. In its raw state, black stone flower does not have much taste or fragrance. However, when put in contact with heat, especially hot cooking oil or ghee, it releases a distinctive earthy, smoky flavour and aroma. This property of black stone flower is especially valued in the tempering step of cooking a number of Indian dishes. The spice is also integral to various regional masalas throughout the Indian subcontinent. Parmotrema perlatum is a key ingredient in masalas such as Kala and Goda masala of Maharashtra, Anglo-Indian bottle masala, bhojwar masala from Hyderabad, and potli masala in Lucknow. It is what many cooks and commercial spice blend makers believe sets apart accomplished dishes from those made by amateurs. Despite its lack of a specific aroma or describable flavour in its raw form, its contribution to the complex flavour profile of these spice blends is highly valued.
Produce traceability makes it possible to track produce from its point of origin to a retail location where it is purchased by consumers. Produce traceability is an important link in protecting public health since it allows health agencies to more quickly and accurately identify the source of contaminated fruit or vegetables believed to be the cause of an outbreak of foodborne illness, remove them from the marketplace, and communicate to the supply chain. Since many fruits and vegetables are eaten raw, the produce industry‚ from farmer to retailer, works diligently to protect these foods from contamination. Despite their best efforts, foreign matter can occasionally contaminate produce in the field or orchard, in packing or processing, in transit or storage. Controlled cold chains are frequently used. Because traceability systems can provide information on the source, location, movement and storage conditions of produce, they also allow growers, packers, processors and distributors to identify factors affecting quality and delivery. Beginning in 2008, an industry-led effort to enhance traceability throughout the entire produce supply chain was launched as the Produce Traceability Initiative.
She is passionate about music and dresses provocatively; she is also shown to be a gifted pianist. She kissed Adam, but fears for her job after Adam tells Kristina about it. Kristina resolves the situation by telling Rachel never to let it happen again; Rachel agrees. Micah Watson (Hayden Byerly) is Max's best friend in seasons 3 and 4, who uses a wheelchair due to spina bifida. Bob Little (Jonathan Tucker) is a politician who runs for city council in season 3, and for mayor in season 5. Kristina Braverman works on his city council campaign, and runs against him for mayor. In season 3, Bob has a brief fling with Amber, who had been promoted from Kristina's assistant to Bob Little's assistant. Kristina catches them together and thus loses trust in him. Bob Little loses the city council election. Kristina is invited to run Bob Little's mayoral campaign, but decides instead to run against him. Although he runs a smear campaign, Kristina decides not to resort to such tactics. He wins the mayoral election by 2 points (approximately 900 votes). Late in season 5, Kristina is able to get Mayor Bob Little to lease her a building for Chambers Academy, the school she decides to open. Lily (Courtney Ford) is a cellist who records at the Luncheonette in season 3. Crosby, Jabbar, Jasmine, and Dr. Joe attend her performance at the park. Crosby allows Lily to use the extra studio to practice after hours. Lily is Crosby's brief love interest until he and Jasmine reconcile.
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.
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.