The shape of an atomic orbital is associated with The princi

The shape of an atomic orbital is associated with The principal quantum number (n). The angular momentum quantum number (l). the magnetic quantum number (m_l) the spin quantum number (m_s) the magnetic and spin quantum numbers, together.

Solution

The different types of quantum numbers by which an electron in an atom can be described are,

Principal quantum number (n)

Angular momentum quantum number (l)

Magnetic quantum number (m_l)

Spin quantum number (m_s)

The principal quantum number (n) describes the distance of an electron from the nucleus, or it specifies the size of the orbital only but it does not describe the shape of an atomic orbital.

The Magnetic quantum number (m_l) describes the orientation of an orbit but not the shape of an atomic orbital.

The spin quantum number describes the direction of electron spin. So, it does not describe the shape of an atomic orbital.

The Angular momentum quantum number (l) also called as Azimuthal quantum number describes the shape of an atomic orbital. The shells are divided into divided into subshells. The different subshells are s, p, d, f, g, h,….

The range of l is l = 0,1,2,3,….n-1

Where,

n is the Principal quantum number.

l                  0 1 2 3 4 …

subshell      s   p   d   f    g ..

Depending on the value of l the shape of subshell changes.

Therefore, the shape of an atomic orbital is associated with the Angular momentum quantum number (l).