Atomic Displacements
//Melethallia,// Ernst Haeckel, Kunstformen der Natur. Chromolithograph 32 x 40 cm, Verlag des Bibliographischen Instituts, Leipzig 1899-1904. Photograph by D Dunlop.
Melethallia, Ernst Haeckel, Kunstformen der Natur. Chromolithograph 32 x 40 cm, Verlag des Bibliographischen Instituts, Leipzig 1899-1904. Photograph by D Dunlop.

Consider an atom $\mathbf{ A}$ that is described by some repetitive chain of events written as

$\Psi ^{ \mathbf{ A} } = \left( \sf{\Omega}_{1}, \sf{\Omega}_{2}, \sf{\Omega}_{3} \ \ldots \ \right)$

where each orbit $\sf{\Omega}$ is represented by a bundle of quarks that can be parsed into eight sub-atomic events

$\sf{\Omega} ^{\mathbf{ A} } = \left( \sf{P}_{1}, \sf{P}_{2}, \sf{P}_{3}, \sf{P}_{4}, \sf{P}_{5}, \sf{P}_{6}, \sf{P}_{7}, \sf{P}_{8} \right)$

Let $\Delta {r} \left( \sf{\Omega} \right)$ note the distance that a particle moves during one complete orbital cycle.

$\Delta r \left( \sf{\Omega} ^{\mathbf{A}} \right) = \lambda ^{\mathbf{A}}$

Consecutive atomic cycles are separated from each other by one wavelength.

Right.png Next step: a cylindrical model of an atom.
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