For each electron in a ground-state Be atom, select the set of quantum numbers that represents it. Check all that apply.
n=1 l=0 ml=-1 ms= +1/2
n=1 l=0 ml=0 ms=-1/2
n=2 l=1 ml=0 ms= -1/2
n=1 l=0 ml=0 ms=+1/2
n=2 l=1 ml=1 ms=+1/2
n=2 1=0 ml=0 ms=+1/2
n=2 l=0 ml=0 ms=-1/2
n=2 l=0 ml=0 ms=-1
I know the top one and the last one aren't correct but I don't know about the others. The hint said,"Make sure you have chosen exactly four answers" why will it have 4?
To determine the set of quantum numbers that represent each electron in a ground-state Be (beryllium) atom, we need to refer to the rules governing the assignment of quantum numbers:
1. The principal quantum number (n) represents the energy level or shell an electron occupies. It can have positive integral values (1, 2, 3, etc.).
2. The azimuthal quantum number (l) represents the orbital angular momentum and determines the shape of the orbital. It can have values ranging from 0 to (n-1).
3. The magnetic quantum number (ml) represents the orientation of the orbital in space. It can have values ranging from -l to +l, including 0.
4. The spin quantum number (ms) represents the direction of an electron's spin. It can have values of either +1/2 (spin-up) or -1/2 (spin-down).
Now, let's analyze each option provided:
Option 1: n=1, l=0, ml=-1, ms=+1/2
This set of quantum numbers is valid as it obeys the rules.
Option 2: n=1, l=0, ml=0, ms=-1/2
This set of quantum numbers is valid as it obeys the rules.
Option 3: n=2, l=1, ml=0, ms=-1/2
This set of quantum numbers is valid as it obeys the rules.
Option 4: n=1, l=0, ml=0, ms=+1/2
This set of quantum numbers is valid as it obeys the rules.
Option 5: n=2, l=1, ml=1, ms=+1/2
This set of quantum numbers is valid as it obeys the rules.
Option 6: n=2, l=0, ml=0, ms=+1/2
This set of quantum numbers is invalid because the value of l cannot be 0 for n=2.
Option 7: n=2, l=0, ml=0, ms=-1/2
This set of quantum numbers is valid as it obeys the rules.
Option 8: n=2, l=0, ml=0, ms=-1
This set of quantum numbers is invalid because ms must be either +1/2 or -1/2.
From these options, the four sets of quantum numbers that represent each electron in a ground-state Be atom are:
1. n=1, l=0, ml=-1, ms=+1/2
2. n=1, l=0, ml=0, ms=-1/2
3. n=2, l=1, ml=0, ms=-1/2
4. n=2, l=0, ml=0, ms=-1/2
Thus, there are four correct answers as indicated by the hint.