Which one of the following set
Which one of the following sets of quantum numbers could bethose of the distinguishing (last) electron of Mo?
a) n = 4, l= 0, ml= 0, ms= +1/2
(b) n = 5,l= 1, ml= 9, ms= -1/2
(c) n = 4,l= 2, ml= -1, ms= +1/2
(d) n = 5,l= 2, ml= +2, ms= -1/2
(e) n = 3,l= 2, ml= 0, ms= +1/2
I KNOW THE ANSWER IS C BUT PLEASE EXPLAIN WHY THAT IS THE ANSWERAND HOW YOU GET TO THESE ANSWERS. I DONT GET WHY!
Answer:
Recall Pauli Exclusion principle, which states that no twoelectrons can have the same quantum numbers. That is, each electronhas a specific set of unique quantum numbers.
Now, let us define the quantum numbers:
n = principal quantum number, states the energy level of theelectron. This is the principal electron shell. As n increases, theelectron gets further and further away. “n” can only have positiveinteger numbers, such as 1,2,3,4,5,… Avoid negative integers,fractions, decimals and zero.
l = Orbital Angular Momentum Quantum Number. Thisdetermines the “shape” of the orbital. This then makes the angulardistribution. Typical values depend directly on “n” value. then l =n-1 always. Note that these must be then positive integers, avoidfractions, decimals. Since n can be 1, then l = 1-1 = 0 can have azero value.
ml = Magnetic Quantum Number. States the orientation of theelectron within the subshell. Therefore, it also depends directlyon the “l” value. Note that orientation can be negative as well,the formula:
ml = +/- l values, therefore, 0,+/-1,+/- 2,+/-3 … Avoidfractions and decimals
ms = the electron spin, note that each set can hold up to twoelectrons, therefore, we must state each spin (downwards/upwards).It can only have two values and does not depends on othervalues,
ms can cave only +1/2 or -1/2 spins. avoid all other numbers.also, avoid 0.5 or -0.5
knowing this, get Mo electorn configuration
[Kr] 5s1 4d5
then…
the last e-, will be that oof 4d5 present…
note that 4d requires more energy than 5s1 therefore 4d isconsidered the most energetic:
level = 4 ; n = 4
for “l” –> s,p,d,f –> 0,1,2
then choose l = 2, since we need “d”
Note that the “last” electorn, is the one marked with green
then
all have same spin,+1/2
if you notice,
a. can’t be since l = 0, implies “s” level, which we cantassume
b can’0t be since, n = 5,
d can’t be since,n = 5
e can’0t be since, n = 3
then
(c) n = 4,l= 2, ml= -1, ms= +1/2; must betrue