The Van der Waals interaction energy between two spherical nanoparticles of diameters D₁ and D2, a distance d apart is found to be 1 f E=--A y 12x2+xy+x + D₁ y x²+xy+x+y +2ln x²+xy+x x²+xy+x+y! Where A is a positive constant termed Hamaker constant and x = d / D₁ and y = D₂ / D₁ O÷G Solid 1 Liquid Solid 2 D₂ Use the above expression to determine (a) the interaction energy of a sphere and an infinite flat surface and (b) the force between two identical spheres.
The Van der Waals interaction energy between two spherical nanoparticles of diameters D₁ and D2, a distance d apart is found to be 1 f E=--A y 12x2+xy+x + D₁ y x²+xy+x+y +2ln x²+xy+x x²+xy+x+y! Where A is a positive constant termed Hamaker constant and x = d / D₁ and y = D₂ / D₁ O÷G Solid 1 Liquid Solid 2 D₂ Use the above expression to determine (a) the interaction energy of a sphere and an infinite flat surface and (b) the force between two identical spheres.
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Transcribed Image Text:The Van der Waals interaction energy between two spherical nanoparticles of diameters D₁ and D2, a
distance d apart is found to be
1 f
E -- A
y
y
12x²+xy+x x²+xy+x+y
+
Solid 1
D₁
Where A is a positive constant termed Hamaker constant and x =
d
+2ln
Liquid
x²+xy+x
x²+xy+x+yl
= d / D₁ and y = D₂ / D₁
Solid 2
D₂
Use the above expression to determine (a) the interaction energy of a sphere and an infinite flat surface
and (b) the force between two identical spheres.
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