By Rolando M.A. Roque-Malherbe, Rolando Roque-Malherbe
As nanomaterials get smaller, their houses more and more diverge from their bulk fabric opposite numbers. Written from a fabrics technology viewpoint, Adsorption and Diffusion in Nanoporous fabrics describes the technique for utilizing single-component gasoline adsorption and diffusion measurements to symbolize nanoporous solids. Concise, but complete, the ebook covers either equilibrium adsorption and adsorption kinetics in dynamic platforms in one resource. It provides the theoretical and mathematical instruments for interpreting microporosity, kinetics, thermodynamics, and shipping tactics of the adsorbent floor. Then it examines how those measurements elucidate structural and morphological features of the fabrics. targeted descriptions of the phenomena contain diagrams, crucial equations, and completely derived, concrete examples in keeping with the author's personal examine stories and perception. The booklet comprises chapters on statistical physics, dynamic adsorption in plug circulate mattress reactors, and the synthesis and amendment of significant nanoporous fabrics. the ultimate bankruptcy covers the foundations and functions of adsorption for multicomponent structures within the liquid part. Connecting fresh advances in adsorption characterization with advancements within the delivery and diffusion of nanoporous fabrics, this e-book is perfect for scientists fascinated by the study, improvement, and purposes of recent nanoporous fabrics.
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Additional info for Adsorption and Diffusion in Nanoporous Materials
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39. , Oxford University Press, Oxford, 1975. 1 33 LEGENDRE TRANSFORMATIONS The Legendre transformations  allow us to describe a function using a different set of variables. Given a function f(x,y), the total derivative of that function is given as: df = ∂f ∂f dx + dy ∂x ∂y The coefﬁcients for the partial derivatives are deﬁned as: u= ∂f ∂f , and v = ∂x ∂y To change to a new representation, the function, g(u,x) is deﬁned as: g(u,x) = f(x,y) – ux, implying that: dg = df − xdu − udx Using the total derivative of f(x,y) then: dg = − xdu + vdy where: x=− ∂g ∂g , and v = ∂y ∂u Consequently the Legendre transformation construct, from a function f = f(x,y), a function g = g(u,y), which by deﬁnition depends on u and y.
Adsorption and Diffusion in Nanoporous Materials by Rolando M.A. Roque-Malherbe, Rolando Roque-Malherbe