By Stache H.W. (ed.)
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98) gives: N* 2 N* ∑ 1 * )= N + Yy (Xx 2 N* ∑ 1 1 1 q2 ⋅ 2 − 2 4 πε 0ε 1 i i + δ 2 i ⋅ i . 102) can be replaced by integration. At that we accept that any of the chosen «central» ionized molecules and its opposite charge in subphase bulk is really discrete, and the charges of the other monolayer molecules and their opposite charges are regularly distributed on the appropriate planes. 3). 103) R +δ R ∫ 2 2 i 0 where R – current distance. After integration we shall receive: N* 2Ω N* ∑ )≅ + Yy (Xx 1 −q2 ⋅ r − r02 + δ 2 − 2 0 2 ⋅ 2 ε 0 ε 1Si q = ze q = ze a a r0 φM q = –ze σ = q/Si = ze/(πr02) δ –σ = –q/Si = –ze/(πr02) R q = –ze 2 0 2 σ = q/Si = ze/(πr02) r0 φM .
The state of interaction between two charged oil drops is thus des cribed as follows: As two charged drops approach each other, at some distance the diffuse layers begin to interact due to overlap of the poten‑ tials. The repulsion energy increases as the overlap energy increases. The attraction forces arising from van der Waals forces (Appendix) will increase at very short distances (much shorter than electrical repulsion region). The kinetic energy present due to the relative motion of the drop‑ lets thus determines the total stability of the system.
16) the expression for surface pressure under similar conditions is the following: Π= 2kT . 43) the expression for Πel in Davies model is transformed to the following form: 2 kT e0 z 1 (e z) . , 2 ! 4! 6! 45) and at restricting to the sum of two first members: 2 kT 1 e0 z Π el ≅ 8CNkTε 0 ε 1 ⋅ e0 2 Si 8CNkTε 0 ε 1 2 (e z)2 kT ( e 0 z )2 1 e zϕ ≈ 2 0 ≈ ≈ ⋅ 0 0. 46) represents the known Helmholtz formula for a plane condenser model with fixed distance between condenser plates (which is equal to Debay shielding length).