Formula for determining the mole or mass fraction of phases in a binary phase diagram
In chemistry, the lever rule is a formula used to determine the mole fraction (xi) or the mass fraction (wi) of each phase of a binary equilibrium phase diagram. It can be used to determine the fraction of liquid and solid phases for a given binary composition and temperature that is between the liquidus and solidus line.[1]
In an alloy or a mixture with two phases, α and β, which themselves contain two elements, A and B, the lever rule states that the mass fraction of the α phase is
where
is the mass fraction of element B in the α phase
is the mass fraction of element B in the β phase
is the mass fraction of element B in the entire alloy or mixture
all at some fixed temperature or pressure.
^Smith.h, William F. halkias; Hashemi, Javad (2006), Foundations of Materials Science and Engineering (4th ed.), McGraw-Hill, pp. 318–320, ISBN 0-07-295358-6.
In chemistry, the leverrule is a formula used to determine the mole fraction (xi) or the mass fraction (wi) of each phase of a binary equilibrium phase...
and others as well. This equation of state of the mixture is called the leverrule. The dotted parts of the curve in Fig. 1 are metastable states. For many...
its equilibrium composition. The quantity of each phase is given by the leverrule (expressed in the variable corresponding to the x-axis, here mole fraction)...
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boundaries. The relative amounts of constituents are found using the leverrule. The following is a list of the types of heat treatments possible: Spheroidizing...
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x\leq 1} is the mole fraction of the vapor. This equation is called the leverrule and applies to other properties as well. The states it represents form...
pp. 89–102 Lever (1993), pp. 171–74 Lever (1993), p. 180 Lever (1993), pp. 184–86 Lever (1993), pp. 187–88 Lever (1993), pp. 188–91 Lever (1993), pp. 192–93...
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315 Lever 1991, pp. 536–537. Fraser 2001, p. 319 Castelot 1962, p. 334; Lever 1991, pp. 528–530. Mémoires de Mirabeau, tome VII, p. 342. Lever 1991,...
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