Schrödinger developed a mathematical description of the electron’s motion called a wave function or atomic orbital.
Squaring the wave function (orbital) gives the volume of space in which the probability of finding the electron is high. This is commonly referred to as the electron cloud.
Schrödinger’s equation required the use of three quantum numbers to describe each electron within an atom, corresponding to the orbital size, shape, and orientation in space.
The first quantum number is the principal quantum number (n).
The smaller the value of n, the closer the orbital is to the nucleus. The number n is sometimes called the atom’s shell.
The second quantum number is the angular momentum quantum number (l). Its value is related to the principal quantum number and has allowed values of 0 up to (n - 1).
These are
The third quantum number is the magnetic quantum number (ml). It describes the orientation of the orbital around the nucleus.
The fourth quantum number, the spin quantum number (ms), indicates the direction the electron is spinning.
In compounds, other atoms bonded to the atom of interest can influence the effective nuclear charge**.**