![](http://image.absoluteastronomy.com/images//topicimages/noimage.gif)
Hamaker Constant
Encyclopedia
The Hamaker constant A can be defined for a Van der Waals (VdW) body-body interaction:![](http://image.absoluteastronomy.com/images/formulas/9/7/3972144-1.gif)
where
and
are the number of atom
s per unit volume in two interacting bodies and C is the coefficient in the particle-particle pair interaction.
The Hamaker constant provides the means to determine the interaction parameter C from the Van der Waals pair potential,
.
Hamaker's method and the associated Hamaker constant ignores the influence of an intervening medium between the two particles of interaction. In the 1950s Lifshitz developed a description of the VdW energy but with consideration of the dielectric properties of this intervening medium (often a continuous phase).
The Van der Waals forces are effective only up to several hundred angstroms. When the interactions are too far apart the dispersion potential decays faster than
; this is called the retarded
regime and the result is a Casimir–Polder force.
![](http://image.absoluteastronomy.com/images/formulas/9/7/3972144-1.gif)
where
![](http://image.absoluteastronomy.com/images/formulas/9/7/3972144-2.gif)
![](http://image.absoluteastronomy.com/images/formulas/9/7/3972144-3.gif)
Atom
The atom is a basic unit of matter that consists of a dense central nucleus surrounded by a cloud of negatively charged electrons. The atomic nucleus contains a mix of positively charged protons and electrically neutral neutrons...
s per unit volume in two interacting bodies and C is the coefficient in the particle-particle pair interaction.
The Hamaker constant provides the means to determine the interaction parameter C from the Van der Waals pair potential,
![](http://image.absoluteastronomy.com/images/formulas/9/7/3972144-4.gif)
Hamaker's method and the associated Hamaker constant ignores the influence of an intervening medium between the two particles of interaction. In the 1950s Lifshitz developed a description of the VdW energy but with consideration of the dielectric properties of this intervening medium (often a continuous phase).
The Van der Waals forces are effective only up to several hundred angstroms. When the interactions are too far apart the dispersion potential decays faster than
![](http://image.absoluteastronomy.com/images/formulas/9/7/3972144-5.gif)
Retarded potential
The retarded potential formulae describe the scalar or vector potential for electromagnetic fields of a time-varying current or charge distribution. The retardation of the influence connecting cause and effect is thereby essential; e.g...
regime and the result is a Casimir–Polder force.