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# Online Calculator: Proton-Electron Pair

This model forms the basis of the atom and is described in detail on our webpage; the Proton-Electon Pair.

Proton-Electron Pair

This calculator calculates the properties of a proton-electron pair at any temperature between 0K and Ṯₙ.

Common input data:
electron mass; mₑ = 9.1093897E-31 kg
proton mass; mₚ = 1.67262163783E-27 kg

Enter the temperature: K

Property: Magnetic Electrical coupling ratio
Orbital area (A):
Orbital length (L):
Acceleration (a):
Orbital velocity (v):
Orbital period (t):
Constant of proportionality (K):
constant of motion (h):
Force (F):
Potential energy (PE):
Kinetic energy (KE):
Total energy (E):
PE:KE

## Help

This Proton-Electron Pair calculator is accessible from anywhere in the website using the shortcut key; "Alt" + "e".
The "Reset" button clears all calculations on the page and reinstalls default values (this button may not respond in the FireFox browser).
Reset can also be achieved by pressing the "F5" key.
Hover your cursor over the symbols for an associated description.

### The Model

The proton-electron pair is a single proton orbited by a single electron partner. It exists as such when isolated as a hydrogen atom (H), and also when fused with other proton-electron pairs as elements of any atomic number.

### Operational Limits

The outer limits of universal temperature are; 2.7255K < Ṯ < and 623316124.717178K.
You will notice that if the upper limit (Ṯₙ) is entered, the electron will be orbiting at light-speed and the neutronic radius.
And because the potential energy between the proton and its electron partner in circular orbits (such as in the proton-electron pair) is twice the electron's kinetic energy (PE:KE):
@ 'Ṯₙ' ; PE = 2 . ½.m.c² = PE = m.c²

### Coupling Ratio

The coupling ratio is the ratio of; magnetic force (Gilbert & Newton) and electrical force (Coulomb).
If the model and the calculation are both correct, this ratio should remain constant irrespective of temperature.
If the units are per-second, this ratio should be √φ.
If the units are per-second-squared, this ratio should be φ.