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[1] [2] Fractions are collected based on differences in a specific property of the individual components. A common trait in fractionations is the need to find an optimum between the amount of fractions collected and the desired purity in each fraction. Fractionation makes it possible to isolate more than two components in a mixture in a single run.
A fraction in chemistry is a quantity collected from a batch of a substance in a fractionating separation process. In such a process, a mixture is separated into fractions, which have compositions that vary according to a gradient. A fraction can be defined as a group of chemicals that have similar boiling points.
CRC Press is a leading publisher of engineering handbooks and references and textbooks across virtually all scientific disciplines. [3] 64th Edition of CRC Handbook of Chemistry and Physics with an American dollar bill for scale; weighs 6 pounds 5.0 ounces (2.86 kg)
The design and operation of a fractionating column depends on the composition of the feed as well as the composition of the desired products. Given a simple, binary component feed, analytical methods such as the McCabe–Thiele method [5] [8] [9] or the Fenske equation [5] can be used. For a multi-component feed, simulation models are used both ...
In chemistry, fractional crystallization is a stage-wise separation technique that relies on the liquid–solid phase change. This technique fractionates via differences in crystallization temperature and enables the purification of multi-component mixtures, as long as none of the constituents can act as solvents to the others.
Unit fractions can also be expressed using negative exponents, as in 2 −1, which represents 1/2, and 2 −2, which represents 1/(2 2) or 1/4. A dyadic fraction is a common fraction in which the denominator is a power of two , e.g. 1 / 8 = 1 / 2 3 .
Using the preceding decomposition inductively one gets fractions of the form , with < = , where G is an irreducible polynomial. If k > 1 , one can decompose further, by using that an irreducible polynomial is a square-free polynomial , that is, 1 {\displaystyle 1} is a greatest common divisor of the polynomial and its derivative .
[4] [5]: 168 In the section "Calculations of yields in the monitoring of reactions" in the 1996 4th edition of Vogel's Textbook of Practical Organic Chemistry (1978), the authors write that, "theoretical yield in an organic reaction is the weight of product which would be obtained if the reaction has proceeded to completion according to the ...
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