Three atomic orbitals are related to a p orbital.
Further Explanation:
Quantum numbers:
Quantum numbers govern the size, energy, shape, and orientation of an orbital. The four quantum numbers are as follows:
1. Principal Quantum Number (n): It denotes the principle electron shell. The values of n are positive integers (1, 2, 3,…).
2. Angular Momentum Quantum Number (l): It represents the shape of an orbital. The value of l is an integer from 0 to (n-1). The value of l for s orbital is 0, that for p orbital is 1, for d orbital it is 2 and for f orbital, it is 3. (Refer to the table in the attached image).
3. Magnetic Quantum Number \(\left( {{m_l}}\right)\): This quantum number represents the orientation of the orbital in space. The value of \({m_l}\) lies between –l to +l. The formula to calculate the value of \({m_l}\) is as follows:
\({m_l}=- l,( - l + 1),.....,0,1,2,.....,(l - 1),l\)
Therefore, the total number of \({m_l}\) values for a given value of l is 2l+1.
4. Electron Spin Quantum Number \(({m_s})\): It represents the direction of the electron spin. Its value can be \(+ \dfrac{1}{2}\) or \(- \dfrac{1}{2}\).
As we know the value of l for p orbital is 1.
The total value of \({m_l}\) can be calculated as follows:
\(\begin{aligned}{\text{Total values of }}{m_l}&= 2\left( 1 \right)+ 1\\&=3\\\end{aligned}\)
So a p sublevel has three atomic orbitals. These are \({p_x}\) , \({p_y}\) and \({p_z}\).
Learn more:
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Answer details:
Grade: Senior School
Subject: Chemistry
Chapter: Structure of the atom
Keywords: quantum numbers, n, l, ml, ms, 1, 2, 3, 0, p orbital, three atomic orbitals.
