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Analysis of Hamaker continuum mediun hypothesis

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The three Hamaker hypotheses are the basic principle of the micro-continuum medium. On the basis of the actual crystalline structure, the problem that, the Hamaker idea of continuum medium may not hold is discovered. There are gaps among the crystal structures. In order the micro-object to be a continuum, a close-packed Wigner-Seitz model is put forward by the object structure principle. By analysis of the double Wigner-Seitz model and the classic Lennard-Jones potential, the Hamaker medium amendatory factors for fcc and bcc are derived. The Hamaker additivity hypothesis and homogeneous hypothesis are revised. The micro-continuum medium form including the repulsive force is revised too. The application area of the micro-continuum medium is extended from the attractive force to the repulsive force, which provids an approach to the practical problems in engineering.
Acta Physica Sinica, Chinese Physical Society and Institute of Physics, Chinese Academy of Sciences
Title: Analysis of Hamaker continuum mediun hypothesis
Description:
The three Hamaker hypotheses are the basic principle of the micro-continuum medium.
On the basis of the actual crystalline structure, the problem that, the Hamaker idea of continuum medium may not hold is discovered.
There are gaps among the crystal structures.
In order the micro-object to be a continuum, a close-packed Wigner-Seitz model is put forward by the object structure principle.
By analysis of the double Wigner-Seitz model and the classic Lennard-Jones potential, the Hamaker medium amendatory factors for fcc and bcc are derived.
The Hamaker additivity hypothesis and homogeneous hypothesis are revised.
The micro-continuum medium form including the repulsive force is revised too.
The application area of the micro-continuum medium is extended from the attractive force to the repulsive force, which provids an approach to the practical problems in engineering.

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