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## Principal quantum numberIn atomic physics, the ## Additional recommended knowledge## DerivationThere are a set of quantum numbers associated with the energy states of the atom. The four quantum numbers The Schrödinger wave equation describes energy eigenstates having corresponding real numbers E defines. The bound state energies of the electron in the hydrogen atom are given by:
_{n}The parameter n can take only positive integer values. This idea of energy levels and notation was borrowed from the earlier Bohr model of the atom and expanded in Schrödinger's equation from the flat two-dimensional Bohr atom to the three-dimensional wavefunction model of the atom. The allowed orbits depend on quantized (discrete) values of orbital angular momentum, - Where
*n*= 1,2,3,… and is called the principal quantum number, and*h*is Planck's constant.
The energy of any wave is the frequency multiplied by Planck's constant. This causes the wave to display particle-like packets of energy called quanta. To show each of the quantum numbers in the quantum state, the formulae for each quantum number include Planck's reduced constant which only allows particular or discrete or quantized energy levels. The principal quantum number n represents the relative overall energy of each orbital and the energy of each orbital increases as the distance from the nucleus increases. The sets of orbitals with the same In the notation of the periodic table, the main shells of electrons are labeled: K(n=1), L(n=2), M(n=3), etc. based on the principal quantum number. The principle quantum number is related to the radial quantum number,
where ## See also- Quantum number
- Basic quantum mechanics
- Schrödinger equation
## External references- Periodic Table Applet: showing principal and azimuthal quantum number for each element
Categories: Quantum chemistry | Atomic physics |

This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Principal_quantum_number". A list of authors is available in Wikipedia. |