Thermodynamic Analysis of the Immersion of a Swelling Clay

A Simple Experimental Way of Measuring the Hamaker Constant A11 of Divided Solids by Immersion Calorimetry in Apolar Liquids

“…In the case of nonpolar liquids, values of k obtained for several aluminosilicates are about 2.6 ± 0.2 (22,23,30). Combining Eqs.…”

“…This is now possible by the recent development of the interpretation of immersion calorimetry (22)(23)(24)(25)(26).…”

“…From the basic equations for this last method and from recent progress (22)(23)(24)(25)(26) in measurement of solid surface energies by calorimetry, we propose in this work to establish a simple relationship between Hamaker constants A 11 of solids interacting in vacuum and the immersion enthalpy determined in a nonpolar liquid. We will compare values obtained using our method with those found in the literature.…”

Numerical simulation of polymer nanocomposites using self-consistent mean-field model

“…The Hamaker constant can be measured 46 or calculated. 47 In this paper, A ϭ7.80ϫ10 Ϫ20 (J) was used, which is equivalent to 20 k B T ͑Boltzmann unit͒. The superscript b denotes a bulk quantity, and ¯v (z) is an averaged vacancy fraction over the lateral dimension ͑x͒.…”

“…The computation employs realistic values of the interaction parameters for liquid-liquid 1 and solid-solid interactions. 46,47 The treatment is valid for any polymer matrix, but considering the industrial importance, the selected values of the parameters primarily address PNC with a polyolefin ͑PP or PE͒ matrix.…”