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PC-SAFT
PC-SAFT (perturbed chain SAFT) is an equation of state that is based on statistical associating fluid theory (SAFT). Like other SAFT equations of state, it makes use of chain and association terms developed by Chapman, et al from perturbation theory.Chapman, Walter G., et al. "SAFT: Equation-of-state solution model for associating fluids." ''Fluid Phase Equilibria'' 52 (1989): 31-38. However, unlike earlier SAFT equations of state that used unbonded spherical particles as a reference fluid, it uses spherical particles in the context of hard chains as reference fluid for the dispersion term.Gross J, Sadowski G. Perturbed-chain SAFT: An equation of state based on a perturbation theory for chain molecules. Industrial & engineering chemistry research. 2001 Feb 21;40(4):1244-60. PC-SAFT was developed by Joachim Gross and Gabriele Sadowski, and was first presented in their 2001 article. Further research extended PC-SAFT for use with associating and polar molecules, and it has also been ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Statistical Associating Fluid Theory
Statistical associating fluid theory (SAFT) is a chemical theory, based on perturbation theory, that uses statistical thermodynamics to explain how complex fluids and fluid mixtures form associations through hydrogen bonds. Widely used in industry and academia, it has become a standard approach for describing complex mixtures. Since it was first proposed in 1990, SAFT has been used in a large number of molecular-based equation of state models for describing the Helmholtz energy contribution due to association. Overview SAFT is a Helmholtz energy term that can be used in equations of state that describe the thermodynamic and phase equilibrium properties of pure fluids and fluid mixtures. SAFT was developed using statistical mechanics. SAFT models the Helmholtz free energy contribution due to association, i.e. hydrogen bonding. SAFT can be used in combination with other Helmholtz free energy terms. Other Helmholtz energy contributions consider for example Lennard-Jones interactio ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Equation Of State
In physics, chemistry, and thermodynamics, an equation of state is a thermodynamic equation relating state variables, which describe the state of matter under a given set of physical conditions, such as pressure, volume, temperature, or internal energy. Most modern equations of state are formulated in the Helmholtz free energy. Equations of state are useful in describing the properties of pure substances and mixtures in liquids, gases, and solid states as well as the state of matter in the interior of stars. Overview At present, there is no single equation of state that accurately predicts the properties of all substances under all conditions. An example of an equation of state correlates densities of gases and liquids to temperatures and pressures, known as the ideal gas law, which is roughly accurate for weakly polar gases at low pressures and moderate temperatures. This equation becomes increasingly inaccurate at higher pressures and lower temperatures, and fails to predict ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Perturbation Theory
In mathematics and applied mathematics, perturbation theory comprises methods for finding an approximate solution to a problem, by starting from the exact solution of a related, simpler problem. A critical feature of the technique is a middle step that breaks the problem into "solvable" and "perturbative" parts. In perturbation theory, the solution is expressed as a power series in a small parameter The first term is the known solution to the solvable problem. Successive terms in the series at higher powers of \varepsilon usually become smaller. An approximate 'perturbation solution' is obtained by truncating the series, usually by keeping only the first two terms, the solution to the known problem and the 'first order' perturbation correction. Perturbation theory is used in a wide range of fields, and reaches its most sophisticated and advanced forms in quantum field theory. Perturbation theory (quantum mechanics) describes the use of this method in quantum mechanics. The ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Joachim Gross
Joachim (; ''Yəhōyāqīm'', "he whom Yahweh has set up"; ; ) was, according to Christian tradition, the husband of Saint Anne and the father of Mary, the mother of Jesus. The story of Joachim and Anne first appears in the Biblical apocryphal Gospel of James. His feast day is 26 July, a date shared with Saint Anne. In Christian tradition The story of Joachim, his wife Anne (or Anna), and the miraculous birth of their child Mary, the mother of Jesus, was told for the first time in the 2nd-century apocryphal infancy-gospel the Gospel of James (also called Protoevangelium of James). Joachim was a rich and pious man, who regularly gave to the poor. However, Charles Souvay, writing in the ''Catholic Encyclopedia'', says that the idea that Joachim possessed large herds and flocks is doubtful. At the temple, Joachim's sacrifice was rejected, as the couple's childlessness was interpreted as a sign of divine displeasure. Joachim consequently withdrew to the desert, where he fasted and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gabriele Sadowski
Gabriele Sadowski (born 18 February 1964) is a German chemist. Early life and education Sadowski studied Chemistry at the Technical University Leuna-Merseburg from 1982 to 1987. She finished her doctorate in 1991 at the Technical University Leuna-Merseburg. She completed her dissertation at the Technical University of Berlin in 2000. Career and research Her research focuses on Polymer Thermodynamics, Thermodynamics of Pharmaceutical Systems, and Reaction Thermodynamics. Since 2001, she is full professor at the Technical University of Dortmund. She took over the responsibility of prorector research in 2016. Awards and honours She was awarded the Gottfried Wilhelm Leibniz Prize in 2011 and she is a member of the North Rhine-Westphalian Academy of Sciences, Humanities and the Arts. See also * Timeline of women in science References {{DEFAULTSORT:Sadowski, Gabriele 1964 births Living people 21st-century German chemists German women chemists 21st-century German wome ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Residual Property (physics)
In thermodynamics a residual property is defined as the difference between a real fluid property and an ideal gas property, both considered at the same density, temperature, and composition. Correlated terms *Departure function References * J. M. Smith, H.C.Van Ness, M. M. Abbot ''Introduction to Chemical Engineering Thermodynamics'' 2000, McGraw-Hill 6TH edition * Robert Perry, Don W. Green Perry's Chemical Engineers' Handbook ''Perry's Chemical Engineers' Handbook'' (also known as ''Perry's Handbook'', ''Perry's'', or ''The Chemical Engineer's Bible'') was first published in 1934 and the most current ninth edition was published in July 2018. It has been a source of c ... 2007 McGraw-Hill 8TH edition Thermodynamic properties {{thermodynamics-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Helmholtz Free Energy
In thermodynamics, the Helmholtz free energy (or Helmholtz energy) is a thermodynamic potential that measures the useful work obtainable from a closed thermodynamic system at a constant temperature (isothermal In thermodynamics, an isothermal process is a type of thermodynamic process in which the temperature ''T'' of a system remains constant: Δ''T'' = 0. This typically occurs when a system is in contact with an outside thermal reservoir, and ...). The change in the Helmholtz energy during a process is equal to the maximum amount of work that the system can perform in a thermodynamic process in which temperature is held constant. At constant temperature, the Helmholtz free energy is minimized at equilibrium. In contrast, the Gibbs free energy or free enthalpy is most commonly used as a measure of thermodynamic potential (especially in chemistry) when it is convenient for applications that occur at constant ''pressure''. For example, in explosives research Helmholtz ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mole Fraction
In chemistry, the mole fraction or molar fraction (''xi'' or ) is defined as unit of the amount of a constituent (expressed in moles), ''ni'', divided by the total amount of all constituents in a mixture (also expressed in moles), ''n''tot. This expression is given below: :x_i = \frac The sum of all the mole fractions is equal to 1: :\sum_^ n_i = n_\mathrm ; \ \sum_^ x_i = 1. The same concept expressed with a denominator of 100 is the mole percent, molar percentage or molar proportion (mol%). The mole fraction is also called the amount fraction. It is identical to the number fraction, which is defined as the number of molecules of a constituent ''Ni'' divided by the total number of all molecules ''N''tot. The mole fraction is sometimes denoted by the lowercase Greek letter (chi) instead of a Roman ''x''. For mixtures of gases, IUPAC recommends the letter ''y''. The National Institute of Standards and Technology of the United States prefers the term amount-of-substance fraction o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Norman F
Norman or Normans may refer to: Ethnic and cultural identity * The Normans, a people partly descended from Norse Vikings who settled in the territory of Normandy in France in the 10th and 11th centuries ** People or things connected with the Norman conquest of southern Italy in the 11th and 12th centuries ** Norman dynasty, a series of monarchs in England and Normandy ** Norman architecture, romanesque architecture in England and elsewhere ** Norman language, spoken in Normandy ** People or things connected with the French region of Normandy Arts and entertainment * ''Norman'' (film), a 2010 drama film * '' Norman: The Moderate Rise and Tragic Fall of a New York Fixer'', a 2016 film * ''Norman'' (TV series), a 1970 British sitcom starring Norman Wisdom * ''The Normans'' (TV series), a documentary * "Norman" (song), a 1962 song written by John D. Loudermilk and recorded by Sue Thompson * "Norman (He's a Rebel)", a song by Mo-dettes from ''The Story So Far'', 1980 Businesses * ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Radial Distribution Function
In statistical mechanics, the radial distribution function, (or pair correlation function) g(r) in a system of particles (atoms, molecules, colloids, etc.), describes how density varies as a function of distance from a reference particle. If a given particle is taken to be at the origin O, and if \rho =N/V is the average number density of particles, then the local time-averaged density at a distance r from O is \rho g(r). This simplified definition holds for a homogeneous and isotropic system. A more general case will be considered below. In simplest terms it is a measure of the probability of finding a particle at a distance of r away from a given reference particle, relative to that for an ideal gas. The general algorithm involves determining how many particles are within a distance of r and r+dr away from a particle. This general theme is depicted to the right, where the red particle is our reference particle, and blue particles are those whose centers are within the circul ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
