Question

Write the set of 4 quantum numbers for the electron below. An electron is on the 5th energy level, on the f subshell's 3rd orientation, and is spinning downwards.

Answer 1

The complete set of four quantum numbers for an electron on the 5th energy level in the f subshell's 3rd orientation with a downward spin is (5, 3, -1, -1/2).

Step-by-step explanation:

The set of 4 quantum numbers for an electron on the 5th energy level, in the f subshell's 3rd orientation, and spinning downwards are as follows:

1. Principal quantum number (n): This represents the energy level of the electron and is given as 5 since the electron is on the 5th energy level.
   
2. Azimuthal quantum number (l): This number corresponds to the subshell, where s=0, p=1, d=2, and f=3. For the f subshell, l=3.
   
3. Magnetic quantum number (ml): This represents the orbital's orientation within a subshell and can range from -l to +l. As it is the 3rd orientation of an f subshell, ml can be -3, -2, -1, 0, 1, 2, or 3. Assuming '3rd orientation' refers to the third possible value when counting from the lowest, ml would be -1.
   
4. Spin quantum number (ms): This describes the direction of the electron's spin and can be +1/2 or -1/2. A spin 'downwards' corresponds to a spin quantum number of -1/2.

Hence, the complete set of quantum numbers for the described electron is (5, 3, -1, -1/2).