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21 February, 23:16

For each of the following sublevels, give the n and l values and the number of orbitals: (a) 6g; (b) 4s; (c) 3d.

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  1. 21 February, 23:24
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    (a) 6g. Shell 6, n = 6. Subshell g, l = 4. Number of orbitals in sublevel = 9

    (b) 4s. Shell 4, n = 4. Subshell s, l = 0. Number of orbitals in sublevel = 1

    (c) 3d. Shell 3, n = 3. Subshell d, l = 2. Number of orbitals in sublevel = 5

    Explanation:

    The rules for electron quantum numbers are:

    1. Shell number, 1 ≤ n, n = 1, 2, 3 ...

    2. Subshell number, 0 ≤ l ≤ n - 1, orbital s - 0, p - 1, d - 2, f - 3

    3. Orbital energy shift, - l ≤ ml ≤ l

    4. Spin, either - 1/2 or + 1/2

    So,

    (a) 6g. Shell 6, n = 6. Subshell g, l = 4. Number of orbitals in sublevel = 2l+1 = 9

    (b) 4s. Shell 4, n = 4. Subshell s, l = 0. Number of orbitals in sublevel = 2l+1 = 1

    (c) 3d. Shell 3, n = 3. Subshell d, l = 2. Number of orbitals in sublevel = 2l+1 = 5
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