## Quantum numbers: explain all four quantum numbers of an.

The three quantum numbers (n, l, and m) that describe an orbital are integers: 0, 1, 2, 3, and so on. The principal quantum number (n) cannot be zero. The allowed values of nare therefore 1, 2, 3, 4, and so on.

Denote the principal quantum number as n and the second number, shape, is anywhere from 0 to n-1. So for sodium, the second quantum numbers are 0,1 and 2. Since this number represents the shape of a single electron in the orbital, the second quantum number for the element can include 0,1 and 2 depending on the electron in question.

Azimuthal quantum number or angular quantum number. The Azimuthal quantum number determines the angular momentum of the electron, denoted by the letter 'l'. The value of 'l' gives the sub level or sub shell in a given principal energy shell to which the electron belongs. It can have only positive integral values from zero to (n-1) where 'n' is.

Quantum numbers These four quantum numbers are used to describe the probable location of an electron in an atom. The Principal Quantum Number. The first quantum number describes the electron shell, or energy level, of an atom. The value of n ranges from 1 to the shell containing the outermost electron of that atom.

Technical data for Nitrogen Click any property name to see plots of that property for all the elements.

Quantum numbers may be defined as a set of four numbers with the help of which we can get complete information about all the electrons in an atom. It tells us the address of the electron i.e., location, energy, the type of orbital occupied and orientation of that orbital.

The quantum number for orbital angular momentum is not limited to n as in the atomic case. In addition to the dependence on the details of the potential well and the orbital quantum number, there is a sizable spin-orbit interaction which splits the levels by an amount which increases with orbital quantum number.