How many electrons in an atom can have each of the following quantum number or sublevel designations?

1. n = 4, l = 3

Is that 14?

l=3 means f electrons. you can have
2s, 6p, 10d, 14f electrons.

32

To determine the number of electrons in an atom with given quantum numbers, we must use the following formula:

maximum number of electrons in a sublevel = 2(2l + 1)

In this case, n = 4 and l = 3.

Using the formula, the maximum number of electrons in the 4d sublevel is:

2(2 * 3 + 1) = 2(6 + 1) = 2(7) = 14.

Therefore, the 4d sublevel can accommodate a maximum of 14 electrons.

To determine the number of electrons in an atom with a specific set of quantum number or sublevel designations, we need to use the following formula:

2(2l + 1)

In this case, the quantum number (n) is 4, and the sublevel designation (l) is 3.

Plugging these values into the formula, we get:

2(2(3) + 1) = 2(6 + 1) = 2(7) = 14

Therefore, there can be a maximum of 14 electrons in an atom with a quantum number (n) of 4 and a sublevel designation (l) of 3.