What is an excited state of scandium?
Well, the ground-state electron configuration of
#[Ar] 3d^1 4s^2#
We'll assume the
#[Ar] 3d^1 4s^color(red)(2) -> barul(|stackrel(" ")(" "[Ar] 3d^1 4s^1 4p^color(red)(1)" ")|)# (There are other lower-lying states, but we are ignoring them for simplicity.)
Due to spin-orbit coupling...
(Notice how the
#""^3# states have three energy levels.)...the destination state (a
#""^4 F# ), which was quadruply-degenerate in the absence of a magnetic field, now splits into four energy levels of this same configuration, with term symbols#""^4 F_(3//2)# ,#""^4 F_(5//2)# ,#""^4 F_(7//2)# , and#""^4 F_(9//2)# , in order of increasing energy.
Assuming we start at the ground-state energy level of
#"0 cm"^(-1)# , this transition thus requires an input of any of the following frequencies:
#"15 672.58 cm"^(-1)#
#"15 756.57 cm"^(-1)#
#"15 881.75 cm"^(-1)#
#"16 026.62 cm"^(-1)#
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The excited state of scandium typically refers to the electronic configuration where one or more electrons in the scandium atom have absorbed energy and moved to higher energy levels than their ground state configuration.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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