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Richmann's law, [1] [2] sometimes referred to as Richmann's rule, [3] Richmann's mixing rule, [4] Richmann's rule of mixture [5] or Richmann's law of mixture, [6] is a physical law for calculating the mixing temperature when pooling multiple bodies. [5]
In materials science, a general rule of mixtures is a weighted mean used to predict various properties of a composite material. [ 1 ] [ 2 ] [ 3 ] It provides a theoretical upper- and lower-bound on properties such as the elastic modulus , ultimate tensile strength , thermal conductivity , and electrical conductivity . [ 3 ]
The Lorentz rule was proposed by H. A. Lorentz in 1881: [5] = + The Lorentz rule is only analytically correct for hard sphere systems. Intuitively, since , loosely reflect the radii of particle i and j respectively, their averages can be said to be the effective radii between the two particles at which point repulsive interactions become severe.
The Wilke mixing rule is capable of describing the correct viscosity behavior of gas mixtures showing a nonlinear and non-monotonical behavior, or showing a characteristic bump shape, when the viscosity is plotted versus mass density at critical temperature, for mixtures containing molecules of very different sizes.
VTPR (short for Volume-Translated Peng–Robinson) [1] [2] is an estimation method for the calculation of phase equilibria of mixtures of chemical components. The original goal for the development of this method was to enable the estimation of properties of mixtures which contain supercritical components.
Vegard's law assumes that both components A and B in their pure form (i.e., before mixing) have the same crystal structure. Here, a A (1- x ) B x is the lattice parameter of the solid solution, a A and a B are the lattice parameters of the pure constituents, and x is the molar fraction of B in the solid solution.
For alloys containing transition metal elements there is a difficulty in interpretation of the Hume-Rothery electron concentration rule, as the values of e/a values (number of itinerant electrons per atom) for transition metals have been quite controversial for a long time, and no satisfactory solutions have yet emerged. [9] [10]
Mixing takes place between same-symmetry orbitals of comparable energy resulting a new set of MO's for water: 2a 1 MO from mixing of the oxygen 2s AO and the hydrogen σ MO. 1b 2 MO from mixing of the oxygen 2p y AO and the hydrogen σ* MO. 3a 1 MO from mixing of the a 1 AOs.