Why electron stay outside the nucleus and not inside the nucleus explain mathematically?

Answer 1

Why electrons should be outside the nucleus and not inside the nucleus?

Very interesting question.

Protons are +1 charged particles. Electrons are -1 charged particles. If an electron was close to a proton, it would attach so strongly that it could not be detached by ordinary chemical means. As a result no chemical reactions would occur. Chemical reactions occur when electrons are transferred from one atom to another, or when positive and negative ions of different ionic substances trade places. For electrons to be transferred from one atom to another, they must be located outside the nucleus. If chemical reactions did not occur we would not exist. Our bodies are large chemical factories. When we digest food, when we breathe in oxygen and exhale carbon dioxide, and when we cut ourselves and heal, chemical reaction are occurring in our bodies, electrons are being transferred from one atom to another.

Think about this. If electrons were inside the nucleus you could not eat a candy bar. The bonds between the atoms in the candy bar would be so strong that you could not bite off a piece of it. If you swallowed it whole, it would come out whole. That would hurt.

I am glad electrons are on the outside, aren't you!!!

Answer 2

The forces of attraction between the protons in the nucleus and the electrons, both electrically and gravitationally, is less than the angular acceleration and repulsive force between electrons. Pretty much the electrons are just moving too fast, what would pull them into the nucleus just ends up keeping them from flying away.

[ko(qeqp)/r2 + G(Mnme)/r2] < [d/dt(mv) + ko(qeqe)/r2]

Answer 3

Electrons are bound to the nucleus of an atom due to the electrostatic attraction between the positively charged protons in the nucleus and the negatively charged electrons. The stability of an atom is determined by the balance between the attractive nuclear forces and the repulsive forces between electrons. Mathematically, this is described by the Schrödinger equation, which predicts the probability distribution of electrons around the nucleus in the form of electron orbitals. This results in electrons occupying specific energy levels and staying outside the nucleus in regions of high probability density.