Dancing David
Penultimate Amazing
They fall together. It is the same as electric charges in a cloud
And then what happens?
How do they separate again?
They fall together. It is the same as electric charges in a cloud
And then what happens?
How do they separate again?
When a proton approaches
The question was "How do they separate again" not 'When do they separate again'.
How about 'when an electron approaches'? Do your Neutronic charges separate then as well?
When a proton approaches
I agree that it is not always a real minimum, only a flat. Do you have a solution?
They fall together. It is the same as electric charges in a cloud
Yes. a=0.
When a is small the classical formula is 2a/r^2 = 0 when a=0
I have no idea what you mean by "electric charges in a cloud".
Wrong. The binding energy is infinite in classical electromagnetism when two charges coincide (and a=0). That's Ben's -1/(2 a) term. A proton approaching will have no effect whatsoever.
This is one reason why classical electromagnetism is a total failure at describing atoms, let alone nuclei.
It's evident, the electric field of the proton attracts the negative charge(s) and repulses the positive charge(s). They are thus again separated in an electric dipole.
When a is small the classical formula is 2a/r^2 = 0 when a=0
No. I've already explained this. A "2a/r^2" term is an energy associated with reorienting a dipole of fixed a. (It's the magnitude of a d*cos(theta)/E term.) It is nothing but the first term in a Taylor-expansion of 1/(r+a) - 1/(r-a), which you've already included.
It is not the polarization energy. The polarization energy is 1/2a.
Put numbers on this. The proton, currently far away, attracts the "-" very gently. It repels the "+' very gently. Meanwhile, the + and - are attracting each other as strongly as possible, because they're starting at a=0.
This is qualitative reasoning
The proton's field tries to pull them into a dipole, but it will not succeed. I've just shown you the math on this six times. Do it yourself and stop guessing the answer.
What do you mean by polarization energy?
This is qualitative reasoning
I don't see your numbers
It's evident, the electric field of the proton attracts the negative charge(s) and repulses the positive charge(s). They are thus again separated in an electric dipole.
When a is small the classical formula is 2a/r^2 = 0 when a=0
How do you know?
Oh dear - you do not know how charges attract or repulseIt's evident, the electric field of the proton attracts the negative charge(s) and repulses the positive charge(s). They are thus again separated in an electric dipole.
. Otherwise your answer to the question would be:Oh dear - you do not know how charges attract or repulse. Otherwise your answer to the question would be:
It's evident, the electric field of the electon attracts the positive charge(s) and repulses the negative charge(s). They are thus again separated in an electric dipoleThus your model predicts the existence of a electron + neutron atomic nucleus
.
As the other posters have told you: Classical binding energy is always infinite when 2 charges coincide. This is qute basic physics.