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Chemistry Worksheet Name: ___________________________ Quantum Concepts – Orbitals and electron configuration

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Chemistry Worksheet Name: ___________________________ Quantum Concepts – Orbitals and electron configuration
Chemistry Worksheet
Name: ___________________________
Quantum Concepts – Orbitals and electron configuration
Block: ___________
Answer each question in the space required. Show all work.
Orbital designations are commonly used by chemists to refer to electrons in atoms. An example
could be, “When zinc is oxidized, the 4s electrons are more readily removed than two 3d electrons.”
1. In the general context of the paragraph above, answer the following:
a. What information about an electron is conveyed using the orbital designation?
b. What is about an electron is not conveyed by the orbital designation?
2.
Consider the following orbitals: 1s, 2s, 2p, 3s, 3p, 3d, 4s, 4p, 4d, and 4f.
a. Identify all quantum numbers not specified by the orbital designation that are possible for an
electron in each of the orbitals listed:
1s _____________________________
3d _____________________________
2s _____________________________
4s
2p _____________________________
4p _____________________________
3s _____________________________
4d _____________________________
3p _____________________________
4f
_____________________________
_____________________________
3. Consider each of the following sets of quantum numbers (n, ℓ, mℓ, s). Decide if each set is valid or not
valid. For valid sets, identify the orbital the set describes (i.e. 2p). For sets that are not valid, give an
explanation as to why the set is not valid.
a) n = 2, ℓ = 1, mℓ = 0, s = ½
b) n = 0, ℓ = 0, mℓ = 0, s = ½
c) n = 3, ℓ = 2, mℓ = −2, s = −½
d) n = 3, ℓ = −2, mℓ = 3, s = ½
e) n = 4, ℓ = 3, mℓ = 2, s = −1
Chemistry Worksheet
Name: ___________________________
Quantum Concepts – Orbitals and electron configuration
Block: ___________
4. Depicted on the following page are ten radial wavefunctions, Pnℓ(r) {= rR nℓ(r)} from the
nucleus outward for a distance of 40 bohr. The set of 10 radial wavefunctions forms the
complete set of radial wavefunctions for the following orbitals: 1s, 2s, 2p, 3s, 3p, 3d, 4s, 4p, 4d,
and 4f. Identify the radial wavefunction associated with each of the orbitals listed. (Write the
orbital designation in the upper right corner of each plot.)
5. Sketch “cartoon diagrams” of the following orbitals. Include the correct number of radial and
angular nodes. (You may need to refer to the radial wavefunctions depicted on the next page,
and the angular wavefunctions depicted on the last page.)
a. 1s
e. 3dxy
b. 2s
f. 4d(x2-y2)
c. 2px
g. 3dz2
d. 3py
h. 4pz
Chemistry Worksheet
Name: ___________________________
Quantum Concepts – Orbitals and electron configuration
Block: ___________
0.2
0.2
0.1
0.1
10
20
30
40
-0.1
10
20
30
40
10
20
30
40
10
20
30
40
10
20
30
40
10
20
30
40
-0.1
-0.2
-0.2
-0.3
-0.3
-0.4
0.3
0.1
0.25
0.2
0.15
-0.1
0.1
0.05
-0.2
10
20
30
40
0.7
0.2
0.6
0.5
0.1
0.4
0.3
10
20
30
40
0.2
0.1
-0.1
0.25
0.1
0.2
0.15
10
20
30
40
0.1
-0.1
0.05
-0.2
0.3
0.4
0.2
0.3
0.1
0.2
0.1
-0.1
10
20
30
40
-0.2
Chemistry Worksheet
Name: ___________________________
Quantum Concepts – Orbitals and electron configuration
Block: ___________
yH0,y,0L
yH0,y,0L
yH0,0,zL
yH0,0,zL
yHx
x,0,0
0 0L
yHx,0,0
0 0L
s
p
yH0,y,0
,y, L
yHx,0,0L
yH0,y,0L
yH0,0,zL
yH0,0,zL
yHx,0,0L
dyz
dz2
yH0,0,zL
yH0,0,zL
yHx,0,0L
d(x2-y2)
yH0,y,0L
yHx,0,0L
dxy
yH0,y,0L
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