The short version of Eutectic point fits in a sentence. The long version — which is the one that helps — is below.
Reviewed 2025-11-16. Anything still debated is marked as such rather than presented as settled.
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.
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.
Analytical methods for lyophilized solids must account for the low moisture content and the fragile cake. Karl Fischer titration is widely used for water content, while near-infrared spectroscopy can measure moisture non-destructively in sealed containers. X-ray diffraction and modulated differential scanning calorimetry help identify crystalline or amorphous phases. Residual solvent analysis may be needed if organic solvents were used during formulation. The combination of these methods supports batch release and long-term stability assessment.
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.
| Property | Value | Notes |
|---|---|---|
| Process name | Lyophilization or freeze-drying | Both terms appear in technical standards and literature. |
| Phase transition | Sublimation | Solid ice becomes vapor without a liquid step. |
| Typical chamber pressure | 0.05-0.5 mbar | Range depends on product temperature and equipment. |
| Typical product temperature | -40 °C to -10 °C | Measured during primary drying; formulation sets limits. |
| Water content after drying | 0.5-3% w/w | Target varies by material and stability needs. |
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.
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.
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.
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.
=== Apical Delta and Accessory Canals === Many teeth have a complex apical delta, consisting of many small accessory foramina branching from the main apical foramen. Each accessory canal is lined with connective tissue continuous with the pulp and periodontal ligament.
=== Refractory period === Each action potential is followed by a refractory period, which can be divided into an absolute refractory period, during which it is impossible to evoke another action potential, and then a relative refractory period, during which a stronger-than-usual stimulus is required. These two refractory periods are caused by changes in the state of sodium and potassium channel molecules. When closing after an action potential, sodium channels enter an "inactivated" state, in which they cannot be made to open regardless of the membrane potential—this gives rise to the absolute refractory period. Even after a sufficient number of sodium channels have transitioned back to their resting state, it frequently happens that a fraction of potassium channels remains open, making it difficult for the membrane potential to depolarize, and thereby giving rise to the relative refractory period. Because the density and subtypes of potassium channels may differ greatly between different types of neurons, the duration of the relative refractory period is highly variable. The absolute refractory period is largely responsible for the unidirectional propagation of action potentials along axons. At any given moment, the patch of axon behind the actively spiking part is refractory, but the patch in front, not having been activated recently, is capable of being stimulated by the depolarization from the action potential.
β-sheets are formed by H-bonds between an average of 5–10 consecutive amino acids in one portion of the chain with another 5–10 farther down the chain. The interacting regions may be adjacent, with a short loop in between, or far apart, with other structures in between. Every chain may run in the same direction to form a parallel sheet, or in the reverse direction to form an antiparallel sheet, or the chains may form a mixed sheet. The pattern of hydrogen bonding is different in the parallel and antiparallel configurations. Each amino acid in the interior strands of the sheet forms two H-bonds with neighboring amino acids, whereas each amino acid on the outside strands forms only one bond with an interior strand. Looking across the sheet at right angles to the strands, more distant strands are rotated slightly counterclockwise to form a left-handed twist. The Cα-atoms alternate above and below the sheet in a pleated structure, and the R side groups of the amino acids alternate above and below the pleats. The Φ and Ψ angles of the amino acids in sheets vary considerably in one region of the Ramachandran plot. It is more difficult to predict the location of β-sheets than of α-helices. The situation improves somewhat when the amino acid variation in multiple sequence alignments is taken into account.
== Derivation == The Hagen–Poiseuille equation can be derived from the Navier–Stokes equations. The laminar flow through a pipe of uniform (circular) cross-section is known as Hagen–Poiseuille flow. The equations governing the Hagen–Poiseuille flow can be derived directly from the Navier–Stokes momentum equations in 3D cylindrical coordinates (r,θ,x) by making the following set of assumptions:
Sources: en.wikipedia.org
This is a list of notable restaurant chains in Australia. A restaurant chain is a set of related restaurants with the same name in many different locations that are either under shared corporate ownership (e.g., McDonald's in the U.S.) or franchising agreements. Typically, the restaurants within a chain are built to a standard format through architectural prototype development and offer a standard menu and/or services.
It was thought that the heart was examined by Anubis and a variety of deities during the Weighing of the Heart ceremony. If the heart weighed more than the feather of Maat, which symbolized the ideal standard of behavior. If the scales balanced, it meant the heart's possessor had lived a just life and could enter the afterlife; if the heart was heavier, it would be devoured by the monster Ammit. The Chinese character for "heart", 心, derives from a comparatively realistic depiction of a heart (indicating the heart chambers) in seal script. The Chinese word xīn also takes the metaphorical meanings of "mind", "intention", or "core", and is often translated as "heart-mind" as the ancient Chinese believed the heart was the center of human cognition. In Chinese medicine, the heart is seen as the center of 神 shén "spirit, consciousness". The heart is associated with the small intestine, tongue, governs the six organs and five viscera, and belongs to fire in the five elements. The Sanskrit word for heart is hṛd or hṛdaya, found in the oldest surviving Sanskrit text, the Rigveda. In Sanskrit, it may mean both the anatomical object and "mind" or "soul", representing the seat of emotion. Hrd may be a cognate of the word for heart in Greek, Latin, and English. Many classical philosophers and scientists, including Aristotle, considered the heart the seat of thought, reason, or emotion, often disregarding the brain as contributing to those functions.
Jasleen Kaur is named as the winner of the 2024 Turner Prize. 4 December Cheshire Constabulary confirms they have interviewed Lucy Letby under caution in prison about further baby deaths. The former prime minister, Boris Johnson, accuses Starmer of misleading the House of Commons and says he should correct the record immediately. This follows an exchange in the House during PMQs when Starmer, answering a question from the leader of the opposition, Kemi Badenoch, said that "two of her predecessors had convictions for breaking the Covid rules". Although the former Conservative prime ministers, Johnson and Rishi Sunak had received fixed penalty notices for breaking COVID-19 regulations, neither had any criminal convictions. 5 December – The Princess of Wales hosts her annual Christmas carol service at Westminster Abbey. 6 December Data published by the Halifax Bank indicates house prices rose by 1.3% in November 2024, marking the fifth consecutive month of growth, with the average house price now estimated at £298,083. Around three million people in Wales and South West England are sent emergency alerts as Storm Darragh approaches the UK. The owners of The Observer confirm the newspaper has been sold to Tortoise Media. The Royal Mint unveils a collector's edition £5 coin featuring Sir Paul McCartney. The UK government announces a £500m contract to build 14 "state-of-the-art" trains at Hitachi's Newton Aycliffe factory, securing the facility's future.
In his post-election victory speech, Lula adopted a more moderate tone, saying that he intends to "pacify the country". Though he later, indirectly, called his political opponent Jair Bolsonaro authoritarian and fascist, by saying that he had "defeated authoritarianism and fascism in Brazil". This was considered to be a repeat of previous rhetoric from during the election campaign, when Lula frequently compared his rival to leaders of the military dictatorship and the fascist regimes of Italy and Germany, as well calling Bolsonaro a "plague of locusts". He was inaugurated on 1 January 2023. That day Lula and Geraldo Alckmin were sworn in as president and vice-president of Brazil, respectively, for the period 1 January 2023 – 4 January 2027.
In 1980, Lady Hamilton Fairley, the widow of Sir Neil Hamilton Fairley began a campaign to have a memorial to Florey in London. The Premier of South Australia, David Tonkin, agreed to provide South Australian marble for a memorial stone. South Australian sculptor Paul Trappe was commissioned to engrave it from a design by John Peters. The 60-by-90-centimetre (24 by 35 in) stone was flown to London by the Royal Australian Air Force, and unveiled by Lady (Margaret) Florey on 2 November 1981. The inscription on the stone reads:
Sources: en.wikipedia.org
Actinium-225 is a highly radioactive isotope with 136 neutrons. It is almost exclusively an alpha emitter and has a half-life of 9.919 days. As of 2024, it is being researched as a possible alpha source in targeted alpha therapy. Actinium-225 undergoes a series of three alpha decays – via the short-lived francium-221 and astatine-217 – to 213Bi, which itself is used as an alpha source. Another benefit is that the decay chain of 225Ac ends in the nuclide 209Bi, which has a considerably shorter biological half-life than lead. However, a major factor limiting its usage is the difficulty in producing the short-lived isotope, as it is most commonly isolated from aging parent nuclides (such as 233U); it may also be produced in cyclotrons, linear accelerators, or fast breeder reactors.
903), Catanzaro was occupied by the Saracens, who founded an emirate and took the Arab name of قطنصار – Qaṭanṣār. An Arab presence is evidenced by findings at an eighth-century necropolis which had items with Arabic inscriptions. Around the 1050, Catanzaro rebelled against Saracen dominance and briefly returned to Byzantine control.
Animation – Ratchet & Clank: Rift Apart Artistic Achievement – The Artful Escape Audio Achievement – Returnal Best Game – Returnal British Game – Forza Horizon 5 Debut Game – TOEM EE Game of the Year – Unpacking Evolving Game – No Man's Sky Family – Chicory: A Colorful Tale Game Beyond Entertainment – Before Your Eyes Game Design – Inscryption Multiplayer – It Takes Two Music – Returnal Narrative – Unpacking Original Property – It Takes Two Performer in a Leading Role – Jane Perry as Selene Vassos in Returnal Performer in a Supporting Role – Kimberly Brooks as Hollis Forsythe in Psychonauts 2 Technical Achievement – Ratchet & Clank: Rift Apart
== Disadvantages == However, there are some concerns associated with DBS biosampling. These include challenges related to sample volume, analyte recovery, the hematocrit effect, sample homogeneity, and the characteristics of the filter paper used.
Sources: en.wikipedia.org
Conventional drying uses heat to evaporate liquid water, often at temperatures that can degrade sensitive materials. Lyophilization freezes the material first and then removes water by sublimation under vacuum. This avoids prolonged exposure to liquid water and high heat.
Lowering pressure reduces the boiling point of water and allows ice to sublimate at temperatures below freezing. Vacuum also limits convective heat transfer, so heat is usually supplied by shelves or radiation. The pressure must stay below the vapor pressure of ice at the product temperature.
The cycle typically includes freezing, primary drying, and secondary drying. Freezing solidifies water and sets the pore structure; primary drying removes bulk ice; secondary drying removes bound water. Some cycles add annealing or pre-freezing steps.
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.