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The ground state of the hydrogen atom


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The ground state of the hydrogen atom

Quantum mechanics is able to answer the existence of ground state. The wave-function   aspect of
quantum mechanics prevents the electron from collapsing into an infinitesimally   small orbit with
an infinite negative energy. In classical physics, an attractive ~1/r potential could have arbitrarily
small orbitals with arbitrarily large binding energies. In quantum physics, the lowest energy orbital
is called the ground state. Solving the Schrödinger   equation for an electron in an attractive
Coulomb potential provides the ground state   properties of the hydrogen atom. In the ground state
hydrogen atom have binding energy;



And the average orbital radius; The radius of an electron in the ground state of hydrogen is
called the Bohr radius.

Angular momentum of electrons in atoms :

The motion of electrons is responsible for atomic magnetism. The electron of charge (–e)
(e = + 1.6 × 10-19 C) performs uniform circular motion around a stationary heavy nucleus of 
charge +Ze. This constitutes a current, I. There will be a magnetic moment, usually denoted by
associated with this circulating current.

 






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