Structure Of The Atom Worksheet With Answer Key Page 16

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Critical Thinking Questions
6. How many m
values are possible for a d sublevel?
5 values are possible. (Since l = 2 for
l
the d sublevel, the possible m
values are -2, -1, 0, 1, and 2—a total of 5 values possible.)
l
7. How many orbitals are there for a d sublevel?
5
8. How many m
values are possible for an f sublevel?
7 values are possible. (Since l = 3
l
for the f sublevel, the possible m
values are -3, -2, -1, 0, 1, 2, and 3—a total of 7 values
l
possible.)
9. How many orbitals are there for a d sublevel?
7
10. Comparing your answers for 6 and 7 and your answers for 8 and 9, what correlation
exists between the number of orbitals and the number of m
values possible?
l
The number of possible m
values equals the number of orbitals for a sublevel. Each
l
value of m
corresponds to an orbital.
l
Information: Correlating quantum numbers to what you already know
m
= +½ for this electron
s
m
= +1 for this orbital
l
rd
n = 3 for the 3
m
= 0 for this orbital
energy level.
l
l = 1 for the p
sublevel.
m
= -1 for this
l
orbital
The quantum numbers (n, l, m
, m
) for the above diagram are: (3, 1, -1, +½).
l
s
 n = 3 indicating the third energy level
 l = 1 indicating the p sublevel
 m
= -1 indicating that the electron is the first of the three orbitals.
l
 m
= +½ indicating a spin in the clockwise direction.
s
Critical Thinking Questions
11. Explain why the set of quantum numbers (n, l, m
, m
) is (4, 3, -2, -½) for the following
l
s
electron.
m
= -½ when an arrow is pointing down
s
th
n=4 for the 4
l=3 for the
m
= -2 for
energy level
l
f sublevel
this orbital
12. Draw an orbital diagram for an electron whose quantum numbers are (5, 2, 0, +½).

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