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The Scherrer equation, in X-ray diffraction and crystallography, is a formula that relates the size of sub-micrometre crystallites in a solid to the broadening of a peak in a diffraction pattern. It is often referred to, incorrectly, as a formula for particle size measurement or analysis.
The following table lists historical approximations to the Colebrook–White relation [23] for pressure-driven flow. Churchill equation [24] (1977) is the only equation that can be evaluated for very slow flow (Reynolds number < 1), but the Cheng (2008), [25] and Bellos et al. (2018) [8] equations also return an approximately correct value for ...
kgf/mm 2: ≡ 1 kgf/mm 2 = 9.806 65 × 10 6 Pa [33] kip per square inch: ksi ≡ 1 kipf/sq in ≈ 6.894 757 × 10 6 Pa [33] long ton per square foot: ≡ 1 long ton × g 0 / 1 sq ft ≈ 1.072 517 801 1595 × 10 5 Pa: micrometre of mercury: μmHg ≡ 13 595.1 kg/m 3 × 1 μm × g 0 ≈ 0.001 torr ≈ 0.133 3224 Pa [33] millimetre of mercury ...
Thus, for every 1 mole of NaCl in solution, there are 2 osmoles of solute particles (i.e., a 1 mol/L NaCl solution is a 2 osmol/L NaCl solution). Both sodium and chloride ions affect the osmotic pressure of the solution. [2] Another example is magnesium chloride (MgCl 2), which dissociates into Mg 2+ and 2Cl − ions.
The commonly known phases solid, liquid and vapor are separated by phase boundaries, i.e. pressure–temperature combinations where two phases can coexist. At the triple point, all three phases can coexist. However, the liquid–vapor boundary terminates in an endpoint at some critical temperature T c and critical pressure p c. This is the ...
This equation implies that if one makes a log–log plot of adsorption data, the data will fit a straight line. The Freundlich isotherm has two parameters, while Langmuir's equations has only one: as a result, it often fits the data on rough surfaces better than the Langmuir isotherm.
In optics, Cauchy's transmission equation is an empirical relationship between the refractive index and wavelength of light for a particular transparent material. It is named for the mathematician Augustin-Louis Cauchy , who originally defined it in 1830 in his article "The refraction and reflection of light".
Einstein's equations now relate the evolution of this scale factor to the pressure and energy of the matter in the universe. From FLRW metric we compute Christoffel symbols, then the Ricci tensor. With the stress–energy tensor for a perfect fluid, we substitute them into Einstein's field equations and the resulting equations are described below.