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Energy Levels
Energy Levels
(7)
Sublevels
(4)
s p d f
1 orbital 3 orbitals 5 orbitals 7 orbitals
2 e- 6 e- 10 e- 14 e-
QUANTUM
NUMBERS
Set of 4 numbers used to describe the
electrons in terms of :
a. Distance from the nucleus
b. Shape of the orbitals
c. Orientation in space
d. Direction of electron spin
PRINCIPAL QUANTUM
NUMBER, n
- Refers to the main energy levels
- Related to the average distance of the
electron from the nucleus
- Can only have integral values of
n = 1, 2, 3, 4 etc.
AZIMUTHAL or SECONDARY
QUANTUM NUMBER, l
- Defines the shape of the orbital.
- Also refers to the energy sublevels
MAGNETIC QUANTUM
NUMBER, ml
Describes the orientation of the orbitals in space.
The range of magnetic quantum numbers defined
by the formula ml = 2l + 1 and takes the integer
value between –l to +l including 0
SPIN QUANTUM NUMBER, ms
- differentiates how two electrons behave
under a magnetic field.
- Can only have two possible values
+½ and -½
Example. What are the possible quantum
numbers for the outermost electron of
oxygen?
SOLUTION:
Identify the final orbital occupied by the electron.
1s2 2s2 2p4
2 p4
n =
l =
ml =
ms =
2
1
-1, 0, +1
+½ , -½
What are the possible quantum numbers for the
outermost electron of chromium?
SOLUTION:
Identify the final orbital occupied by the electron.
1s2 2s2 2p6 3s2 3p6 4s1 3d5
3 d5
n =
l =
ml =
ms =
3
2
-2, -1, 0, +1, +2
+½ , -½
Electron Population Distribution or
Electron Orbital Notation
Show the electron population distribution for 15P.
P has 15 electrons.
Its electron configuration is 1s2 2s2 2p6 3s2 3p3.
The electron population distribution for P is:
1s 2s 2p 3s 3p
9. quantum_numbers.energy levels, examplespdf
9. quantum_numbers.energy levels, examplespdf
9. quantum_numbers.energy levels, examplespdf
9. quantum_numbers.energy levels, examplespdf
9. quantum_numbers.energy levels, examplespdf
9. quantum_numbers.energy levels, examplespdf
9. quantum_numbers.energy levels, examplespdf
9. quantum_numbers.energy levels, examplespdf
9. quantum_numbers.energy levels, examplespdf

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9. quantum_numbers.energy levels, examplespdf

  • 1.
  • 2. Energy Levels Energy Levels (7) Sublevels (4) s p d f 1 orbital 3 orbitals 5 orbitals 7 orbitals 2 e- 6 e- 10 e- 14 e-
  • 3. QUANTUM NUMBERS Set of 4 numbers used to describe the electrons in terms of : a. Distance from the nucleus b. Shape of the orbitals c. Orientation in space d. Direction of electron spin
  • 4.
  • 5.
  • 6. PRINCIPAL QUANTUM NUMBER, n - Refers to the main energy levels - Related to the average distance of the electron from the nucleus - Can only have integral values of n = 1, 2, 3, 4 etc.
  • 7.
  • 8.
  • 9.
  • 10. AZIMUTHAL or SECONDARY QUANTUM NUMBER, l - Defines the shape of the orbital. - Also refers to the energy sublevels
  • 11.
  • 12.
  • 13. MAGNETIC QUANTUM NUMBER, ml Describes the orientation of the orbitals in space. The range of magnetic quantum numbers defined by the formula ml = 2l + 1 and takes the integer value between –l to +l including 0
  • 14.
  • 15.
  • 16.
  • 17. SPIN QUANTUM NUMBER, ms - differentiates how two electrons behave under a magnetic field. - Can only have two possible values +½ and -½
  • 18.
  • 19.
  • 20.
  • 21. Example. What are the possible quantum numbers for the outermost electron of oxygen? SOLUTION: Identify the final orbital occupied by the electron. 1s2 2s2 2p4 2 p4 n = l = ml = ms = 2 1 -1, 0, +1 +½ , -½
  • 22. What are the possible quantum numbers for the outermost electron of chromium? SOLUTION: Identify the final orbital occupied by the electron. 1s2 2s2 2p6 3s2 3p6 4s1 3d5 3 d5 n = l = ml = ms = 3 2 -2, -1, 0, +1, +2 +½ , -½
  • 23.
  • 24. Electron Population Distribution or Electron Orbital Notation Show the electron population distribution for 15P. P has 15 electrons. Its electron configuration is 1s2 2s2 2p6 3s2 3p3. The electron population distribution for P is: 1s 2s 2p 3s 3p