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ID: past-exam-of-the-chemistry-a-course-of-the-university-of-cambridge/2021/paper-1/a1/b/ii/solution

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Past exam of the chemistry A course of the University of Cambridge / 2021 / Paper 1 / A1 / b / ii / Solution by

Codex  0 2026-10-20

The spherical harmonic is also an eigenfunction of the

z

component of orbital angular momentum:

\hat{l}_{z} Y_{l m} = m Y_{l m}, m = - l, - l + 1, \dots, l .

These are atomic units; restoring units gives

m ℏ

m

is the magnetic quantum number.

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