Identify which sets of quantum numbers are valid for an electron. Each set is ordered (n,ℓ,mℓ,ms).?
a. 3,2,1,1
b.1,0,0,1/2
c.3,2,-2,1/2
d. 3,2,0,1/2
e. 4,3,5,-1/2
f. 2,1,0,1/2
g. 4,2,1,1/2
h. 1,3.0,1/2
i. 2,2,-1, 1/2
j. 1,-1,-1,-1/2
k. 1,1,0,-1/2
l. 0,2,0,1/2
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n represents the major energy level: values are 1,2,3,4,5,6, and 7
ℓ represents the sub-level type: values are s =0, p = 1, d = 2, f = 3 (integers from 0 to n-1)
m represents the orbital: values are -ℓ to 0 to ℓ
s represents the 1st or 2nd electron to enter an orbital: values are ¹/₂, - ¹/₂
Valid answers are: b, c, d, f, g
incorrect: a (s cannot be 1), e (m values -3, -2, -1, 0 , 1, 2, 3), h (1 st energy level has only an 's' - ¹ ℓ can only be 0), i (ℓ cannot be 2 for 2nd energy level 0nly 0 and 1), j (ℓ values are not negative; they start at 0 and increase by integers to n-1), k (ℓ must be 0 for n=1), l (no 0 energy level)
b describes the last electron to enter:H (Z = 1)
c describes the last electron to enter: Sc (Z = 21)
d describes the last electron to enter: V (Z =23)
f describes the last electron to enter: C (Z = 6)
g describes the last electron to enter: Mo (Z= 42)