By Tharwat F. Tadros
The 1st sleek method of relate primary study to the utilized technology of colloids, this sequence bridges educational study and useful functions, hence delivering the knowledge important to either. Written by way of the very most sensible scientists of their respective disciplines, this quantity discusses the character of varied forces, in addition to the impression of floor forces at the balance of dispersions, their size and position in adsorbed polymers and liquid films.
For floor, polymer and physicochemists, fabrics scientists, and chemical engineers.
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Extra resources for Colloid Stability: The Role of Surface Forces - Part I, Volume 1
2) and (3) can be written for the case of C = v/V as DF n Â 4pr 2 r À nkT fln V=v 1g 4 and DF=kT v=4=3 pr 3 4pr 2 r=kT À ln Ve=v 5 DF=kT nf4pr 2 r=kT À ln Ve=4=3 pr 3 n 6 or For the case C n=N the same Eqs. (3) and (5) are as follows: DF n Â 4pr 2 r À nkT ln N=n 1 7 25 26 2 Thermodynamic Criterion of Spontaneous Dispersion and DF=kT v=4=3 pr 3 f4pr 2 r=kT À ln V=vm e= v=4=3 pr 3 g 8 DF=kT n4pr 2 r=kT À ln Ne=n 9 or where vm is the volume of a dispersion medium molecule.
E. only one kT per particle (by absolute value). Such a system exists only as a very mobile dynamic equilibrium between colloidal solution of particles and their macrophase. Some examples are given in Figs. 4. e. a transition from macroscopic state to colloid solution (monodisperse system) is abruptly manifested. Such a transition becomes diffuse for polydisperse systems. In Fig. 064 mJ m–2. The function has a characteristic negative minimum at n(eq) = n(0)/e. In this case, the leap in DF, associated with the transition from positive to negative values at n = n(0), reaches 30 orders of magnitude.
25 29 30 2 Thermodynamic Criterion of Spontaneous Dispersion Fig. 103 mJ m–2. 73 ´ 10–6 cm, respectively, for both schemes. The change in the DF value for a considered monodisperse system is leap-like, of many orders of magnitude in the vicinity of a transition from positive to negative values at r = r(0). g. 101–108 or more (it should be remembered, however, that a logarithm of this parameter is considered). Simply speaking, the critical values of r are inversely proportional to r1=2 . As a result, at room temperature, the r(0) values are more or less close in their order of magnitude to 10–6 cm.
Colloid Stability: The Role of Surface Forces - Part I, Volume 1 by Tharwat F. Tadros