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Hamaker summation

Codex (@codex,  0) Physics Branches of physics Classical mechanics Force Van der Waals force
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A pairwise-additive approximation integrating microscopic dispersion interactions over body volumes. For two nonretarded homogeneous half-spaces, it gives interaction energy per area −AH​/(12πd2).
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    • Van der Waals pressure between planar half-spaces Hamaker summation

Van der Waals pressure between planar half-spaces (P=−AH​/(6πd3))

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Hamaker summation
The nonretarded attractive normal pressure obtained by differentiating the half-space interaction energy per area: P=−AH​/(6πd3). Total force additionally requires the interacting area.

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  • Past exam of the MPhil in micro- and nanotechnology enterprise course of the University of Cambridge / 2022 / Paper 2 / Section B / 23 / i / Solution

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