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Caddie 30.04.2019
Van der Waals forceorigin dipol dipol interaction Edipoen
Yaw ß VAWinteraction energy ß J.nl
repulsion In
SLI attraction 6
Macroscopic implicationsPt V b RT seal gas equation
b excluded volume b ER N R Radius
a2T Na ß interactionparameter
I neg pressureVdweofl
Types of VAW contributions
1 Kasan interaction two permanent dipoles
In NIELIFE AT VG
2 London dispersion interaction QM
V frequency do polarizability
Von der Waals Forces between macroscopic bodies
Integration Uth 4 h.dk dk
example h atom densityIndensity
hatiiiD
UM III energyperana
Bittet p Hunsaker constantly
For two curved surfaces
µFYI 2T Nd bergagnin approximation
Force IN energyfanalhit
DW Force between two spheres of radius K
Frau sphere sphere Yt
Force apparatus two crossed cylinders mica
1z
U atinnadins
11 Welt 4i
er
Er Coulomb law in dielectric
eg ions in oil Z valency of ion
Field energy of an iv im a continuum Bonn energy
wy.ua ED E Er E energy density
Wee Es.su Edv kEoEif.uf s.E 4iTv'der
Ii8ts.GR electrostatic selfenergy
contributes to the chemicalpotential of the ionMin µ
t AT lm X t Wee
A molar fraction
Nat El Cattexample0.1 0.138 0.1 umRim
µ evWIEWIE 801 0,088 0,05 0,36 e
Electrostatic interaction in water the electric double layert free ions of valuing Zi
I.tn i im speciest
ZteManion conoid Ziel mit 0 Efteae.ly
Problem Find electrostatic potential 4G14h Poisson Eg
r ziem charge densityzieh
ne r lol exp Boltzmann
1414 Z.ziemilolexp.EEPoisson Boltzmann Ey
43 approximation exp x 1 txt
for zielt AT
1414 44 2 ziemi
linear PoissonBoltzmann
Ü egmation
with ui 1 ziemE Er AT i
Vi Debey screening length
Solution ofPB Eg for a pointlike manion
Ii riceansatz yay p II g ö
KV
4h e4T E Er
Solution for mano ion of finite size RtURI Kv
4ms 4he
4T E Er 1 t KR
löws
414 TE.E fitktz.kz surface potential
Solution of PB Eg for a flat surface
4 xnix
eF 4T E Er