What does m_s mean?

Meaning and background of m_s
MeaningSpin Quantum Number
CategoryScience & engineering
TypeSymbol

The symbol m_s, usually typeset with s as a subscript, denotes the spin quantum number in the electron example described here. It is mathematical notation rather than an English initialism.

OpenStax lists the electron’s allowed m_s values as +1/2 and -1/2. Keep the subscript: m_l is a different quantum number associated with orbital orientation. In this bounded atomic-electron example, two electrons sharing one orbital must have different m_s values. The notation does not describe a tiny ball’s classical rotation, and these two allowed values should not be generalized to every type of particle.

m_s — Spin Quantum Number; Science & engineering
Original reference card by AcronymIndex.

Meaning in context

m_s
The spin quantum-number symbol in this atomic-electron convention.
s subscript
Part of the notation; omitting or changing it can refer to a different quantity.

Practical examples

Keep the allowed values

Before
An electron’s m_s can be 0 in this example.
After
The allowed electron m_s values are +1/2 and -1/2.

Distinguish symbols

Before
m_s and m_l can be swapped because both start with m.
After
Retain m_s for this spin label and m_l for the orbital magnetic quantum number.

Original illustrative examples, not quotations or reports of actual events.

Use m_s with clarity

Does m_s mean the same thing as m_l, and which values belong to an electron’s spin label?

See all guidance

Read the symbol

Keep the subscript visible.

m_s names the electron spin quantum number here.

Choose an electron value

Use the stated pair.

+1/2 or -1/2.

Read a paired orbital

Keep the electron model in scope.

Two electrons in the same orbital have different m_s values.

Preserve the subscript and distinguish the electron’s spin label from orbital notation.

Keep the electron symbol and allowed values

Read the explicitly labelled fictional or attributed examples. Choose the distinction supported by the supplied wording; the exercise does not verify a real person, item or record.

Question: How should this value be read?

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