Quantum numbers arise naturally from the mathematics used to describe the possible states of an electron in an atom. The

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Quantum numbers arise naturally from the mathematics used to
describe the possible states of an electron in an atom. The four
quantum numbers, the principal quantum number (𝑛), the
angular momentum quantum number (𝓁), the magnetic quantum
number (𝑚𝓁), and the spin quantum
number (𝑚s) have strict rules which govern the
possible values.
Identify all allowable combinations of quantum numbers for
an electron.
𝑛=3, 𝓁=2, 𝑚𝓁=−2, 𝑚s=−1/2
𝑛=5, 𝓁=4, 𝑚𝓁=−4, 𝑚s=−1/2
𝑛=4, 𝓁=2, 𝑚𝓁=3, 𝑚s=−1/2
𝑛=1, 𝓁=1, 𝑚𝓁=−1, 𝑚s=+1/2
𝑛=2, 𝓁=0, 𝑚𝓁=0, 𝑚s=−1
𝑛=3, 𝓁=−2, 𝑚𝓁=−2, 𝑚s=+1/2