How many electrons in an atom can share the quantum numbers n= 2, l = 1, and m subscript l= -1?
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OpenStudy (anonymous):
2
4
6
8
OpenStudy (anonymous):
@cwrw238 @ganeshie8
OpenStudy (anonymous):
@TuringTest
OpenStudy (anonymous):
@JFraser Can you help me out?
OpenStudy (jfraser):
those are 3 of the 4 quantum numbers. Do you know the other quantum number?
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OpenStudy (anonymous):
It doesnt say
OpenStudy (anonymous):
OpenStudy (anonymous):
Any Idea?
OpenStudy (jfraser):
not the VALUE of the fourth quantum number, but what does it mean?
OpenStudy (anonymous):
spin direction
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OpenStudy (anonymous):
right?
OpenStudy (jfraser):
correct, and how many possible values can m_s (the spin direction) have?
OpenStudy (anonymous):
2?
OpenStudy (anonymous):
-1/2 and +1/2 right?
OpenStudy (jfraser):
exactly right.
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OpenStudy (jfraser):
so if 3 of the 4 quantum numbers are the same, the only thing left is ....
OpenStudy (anonymous):
the spin direction
OpenStudy (anonymous):
But how do I know how many electrons can share those quantum numbers?
OpenStudy (jfraser):
so 3 of the 4 quantum numbers are the same, how many options are there for the spin direction?
OpenStudy (anonymous):
2
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OpenStudy (jfraser):
the Pauli Exclusion Principle states that no 2 electrons in a given atom can have the same 4 quantum numbers. Each electron in a particular atom must have a UNIQUE combination of all 4.
In this case, 3 of the 4 QNs are the same for 2 given electrons. The only QN left has just 2 options. How many electrons total could that describe?