Spin quantum number

Definition

The spin quantum number ($m_s$) describes the intrinsic angular momentum of an electron within an atom. It can take on values of $+\frac{1}{2}$ or $-\frac{1}{2}$, corresponding to the two possible spin states.

5 Must Know Facts For Your Next Test

1. The spin quantum number ($m_s$) can only be $+\frac{1}{2}$ or $-\frac{1}{2}$.
2. Spin is a fundamental property of electrons, similar to charge and mass.
3. Electrons with opposite spins can occupy the same orbital according to the Pauli exclusion principle.
4. The concept of electron spin explains magnetic properties in materials.
5. Electron spin contributes to the overall angular momentum of atoms and molecules.

Review Questions

• What are the possible values for the spin quantum number ($m_s$)?
• How does the Pauli exclusion principle relate to the spin quantum number?
• Why is electron spin important for understanding magnetic properties?

Related terms

Pauli Exclusion Principle:

A principle stating that no two electrons in an atom can have identical sets of quantum numbers.

Angular Momentum Quantum Number:

$l$, describes the shape of an electron's orbital within an atom.

Magnetic Quantum Number:

$m_l$, specifies the orientation of an electron's orbital around the nucleus.