Hamaker Constant
Encyclopedia
The Hamaker constant A can be defined for a Van der Waals (VdW) body-body interaction:
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.
where and are the number of atom
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, .
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
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.