Inverse Biquadrate Model for Bohr is one of atom model to acommodate inverse square saquare gravity which is also electric force.

Force equation is given as follows

Energy equation is given as follows

Quantization contition for Bohr was given for angular momentum.

Above condition is no good for inverse biquadrate gravity. Alternatively, the condition that T is proportional to nnn seems fitting.

But we would like to fit energy level for backward compatability.


Bohr model[edit | edit source]

The combination of natural constants in the energy formula is called the Rydberg energy (RE):

This expression is clarified by interpreting it in combinations which form more natural units:

is the rest mass energy of the electron (511 keV/c)
is the fine structure constant

Since this derivation is with the assumption that the nucleus is orbited by one electron, we can generalize this result by letting the nucleus have a charge q = Ze where Z is the atomic number. This will now give us energy levels for hydrogenic atoms, which can serve as a rough order-of-magnitude approximation of the actual energy levels. So, for nuclei with Z protons, the energy levels are (to a rough approximation):

GEFR[edit | edit source]

note that total enery is positive and inside electron has high energy. and, with newly enhanced g",

Failed to parse (syntax error): {\displaystyle GEFR =G"/G_{3} =0.8455 }  %

Radial wave function[edit | edit source]

Radial wave function for inverse biquadrate force diverges. Probably, Radial wave function is delta function.

see also[edit | edit source]

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