ahoy!
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The quantum numbers of six electrons are given below.
Arrange them in order of increasing energies.
If any of these combination(s) has/have the same energy lists:
1. n = 4, l = 2, ml = –2 , ms = –1/2
2. n = 3, l = 2, ml= 1 , ms = +1/2
3. n = 4, l = 1, ml = 0 , ms = +1/2
4. n = 3, l = 2, ml = –2 , ms = –1/2
5. n = 3, l = 1, ml = –1 , ms= +1/2 6. n = 4, l = 1, ml = 0 , ms = +1/2
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Answers
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Usually, we use the value of 'n'(principal quantum number) plus 'l'(azimuthal quantum number) to know the energy.
More the value of "n + l" more is the energy!
but if 2 electrons have the same value of 'n + l', then we say that more the value of 'n' more is the energy!
So, we can depend upon the formula "n + l"
1) n = 4, l = 2 : n+l = 6
2) n = 3, l = 2 : n+l = 5
3) n = 4, l = 1 : n+l = 5
4) n = 3, l = 2 : n+l = 5
5) n = 3, l = 1 : n+l = 4
6) n = 4, l = 1 : n+l = 5
Therefore the order goes like this: (in the decreasing order of energy)
(1) > (3) = (6) > (2) = (4) > (5)
More the value of "n + l" more is the energy!
but if 2 electrons have the same value of 'n + l', then we say that more the value of 'n' more is the energy!
So, we can depend upon the formula "n + l"
1) n = 4, l = 2 : n+l = 6
2) n = 3, l = 2 : n+l = 5
3) n = 4, l = 1 : n+l = 5
4) n = 3, l = 2 : n+l = 5
5) n = 3, l = 1 : n+l = 4
6) n = 4, l = 1 : n+l = 5
Therefore the order goes like this: (in the decreasing order of energy)
(1) > (3) = (6) > (2) = (4) > (5)
great answer!! it's just that it has got to be written in increasing order.
thank you :)
bro? wouldn't the correct sequence be 1 > 2 = 4 > 3 = 6 > 5 ?
No, According to my notes when the 'n+l' value is same for any 2 cases, then the principal quantum (n) must be given priority over azimuthal quantum number (l)
Also (2) and (4) indicate 3d subshell which has less energy than 4p subshell of (3) and (6)
That is why 3d subshell is filled first and then filling starts in 4p (lower energy ones are filled first)
Thus the increasing order of energy is : (5) < (2) = (4) < (3) = (6) < (1)
Okay :)
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