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CHEM 161
Atomic Orbitals
Worksheet
Name ________________
Partners ________________
INSTRUCTIONS: Complete the worksheet with your group using a black or blue pen or pencil. Be prepared to
share your answers. When answered are shared with the rest of the class, use only a red pen.
1. What are the characteristic shapes of s, p, and d orbitals that distinguish them from each
other?
2. Which quantum number identifies the shape of an orbital?
3. As the principal quantum number increases what happens to the size of a particular type of
orbital, eg., the s orbitals?
4. Which quantum numbers determine the energy of an orbital in an atom with more than one
electron?
5. For each value of n = l, 2, and 3, what are the possible values for l, and what are the labels for
the orbitals with these I values?
= __
2_
3 __
6. For each value of l = 0, 1, and 2, what are the possible values for ml, and what are the labels for
the orbitals with these ml values?
1
2 __
7 , Which orbitals have a plane that includes the origin where the probability of finding the electron
is zero? The origin is where the axes cross. These planes are called angular nodal planes. A
node is the place where a wave has zero amplimde.
8. What is the relationship between the value ofthe azimuthal quantum number and the nmnber
l of angular nodal planes?
_ 9. In addition to angular nodal planes, there are radial nodes. These nodes occur for all angles at
some distance from the nucleus. Which orbitals have radial nodes?
10. For a given value of n, the principal quantum number, how many total nodes are there in an
orbital?
, Exsncrsss
l. The total number of nodes in an orbital is equal to n—l. This number is split between radial nodes
and angular nodal planes. Show that your answers to Key Questions 7 and 9 are consistent with
this fact.
2. For n = 4, identify the possible values for I.
3. For I = 3, identify the possible values for ml.
~ 4. Identify the number of angular nodes in an I = 3 orbital.
Activity 19 —The Description of Electrons in Atoms 93
5. For ls, 2s, and 3s orbitals each, identify the
a) total number of nodes
b) number of angular nodes and the number of radial nodes
‘ 6. Identiiir the relationship between the total number of nodes and the energy ofthe orbital.
7. Identify the total number of nodes, the number of angular nodes, and the number of radial nodes
for a 2p orbital.
8. Identify the total number of nodes, the number of angular nodes, and the number of radial nodes
CHEM 161 - F2017
Dr. Overway
Page 1 of 2
840965961
General Chemistry I
for a 3p orbital.
9. Identify the total number of nodes, the number of angular nodes, and the number of radial nodes
for a 3d orbital.
10. Determine the total number of orbitals with n = 4. Write the orbital labels for all of these
orbitals.
CHEM 161 - F2017
Dr. Overway
Page 2 of 2
840965961
General Chemistry I