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Irving, U.S. chemist and Nobel laureate, 1881-1957. See: Langmuir trough.
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Where: [q.sub.eq] = adsorbed quantity (mg.[g.sup.-1]) for a given adsorbate concentration (MB and phenol); [q.sub.m] = maximum adsorption capacity (mg.[g.sup.-1]); [C.sub.eq] = adsorbate concentration after the equilibrium to be achieved (mg.[L.sup.-1]); and [K.sub.L] = Langmuir constant.
Majority of the data in case of 2 Cl-DD fitted well Freundlich model except SS5 and SS6 which well fitted the Langmuir model, as shown in Figure 3 and Table 3.
Langmuir adsorption parameters were determined by transforming the Langmuir equation into linear form:
The scatter plots of TOC content versus gas content, and Langmuir adsorption capacity shows that when TOC is<2.0% the gas contents are higher than the Langmuir adsorption capacity of shale(Figure 6).
where [Q.sub.e] (mg/g) and [C.sub.e] (mg/mL) represent the amount of adsorbed avermectin per unit mass of MAC-SDS and avermectin concentration at equilibrium, respectively; and Q0 and b refer to the Langmuir constants for MAC-SDS, which are related to the maximum avermectin adsorption capacity to form a complete monolayer on the surface of MAC-SDS and an affinity parameter, respectively.
where [p.sub.c] is the pressure of the field, where [p.sub.c] = CM[c.sup.2.sub.s], in Pa; [P.sub.L] represents the Langmuir pressure, where [p.sub.L] = [c.sup.2][Mk.sub.d]/[k.sub.a], in Pa.
Although self-assembly of block copolymers and inorganic NPs complex have been studied in film form, few experiments of this sort have been conducted at the monolayer level on a Langmuir trough at air/water interface [40, 46, 47].
For linear form of adsorption isotherms, a comparison of error functions reflects that Langmuir, Freundlich, and Elovich isotherms have good correlation with experimental values for the present adsorption study.
where [q.sub.e] is the adsorption capacity of each compound at equilibrium (mg/g), [C.sub.e] is the equilibrium concentration of each compound (mg/L), [K.sub.L] is a Langmuir adsorption constant which is related to the affinity of the adsorption (L/mg), and [q.sub.m] is a maximum capacity or the amount of organic acids adsorbed at complete monolayer coverage (mg/g).
The results obtained from the batch adsorption experiments conducted to study the effect of the initial dye concentration on dye adsorption were used to investigate the adsorption capacity of fly ash for reactive blue 25 dye through the well-known Langmuir and Freundlich adsorption isotherms.
where [C.sub.e] is the dye concentration at equilibrium [q.sub.e] ia the amount of dye adsorbed per g of adsorbent [q.sub.m] is the monolayer adsorption capacity [K.sub.L] is Langmuir adsorption constant n is Freundlich constant [K.sub.F] is Freundlich Coefficient
The algorithms used 10, 20, and 30 agents for fitting the experimental data with Freundlich isotherm (2-dimensional), Freundlich-Langmuir isotherm (3-dimensional), and two-site Langmuir isotherm (4-dimensional), respectively.