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Chapter 5
Quantum Numbers
Part 1
Quantum Numbers
• There are four
quantum numbers
that describe the
properties of an
electron and the
“orbital” that it
occupies within an
atom.
Apple
What are orbitals?
• The main division of energy for an electron
within an atom is called the energy level or
shell.
• The energy level (shell) is subdivided into
distinct areas called sublevels (subshells).
• The sublevels are divided into orbitals. The
orbitals are where the electrons are found.
• Each orbital can hold no more than a pair of
electrons.
Four Quantum Numbers
describe the following:
1. distance from the nucleus
2. shape of the orbital
3. 3-dimensional positioning of the orbital
4. direction of electron’s spin within the
orbital
The First Quantum Number
The Principal Quantum Number
• Abbreviated as “n”
• n = 1,2,3...
• Represents the
distance of an
electron from the
nucleus & the main
energy level of the
electron.
What else does the Principal
Quantum Number (n) tell us?
• n = number of
sublevels in the
energy level.
What else does the Principal
Quantum Number (n) tell us?
• n2 = number of
orbitals in the
energy level.
What else does the Principal
Quantum Number (n) tell us?
• 2n2 = maximum
number of electrons
possible in the
energy level.
n Energy
level
# of
sublevels
# of
orbitals
Max # of
electrons
1 1 1 1 2
2 2 2 4 8
3 3 3 9 18
4 4 4 16 32
The Second Quantum Number
(Types of Sublevels)
• The second quantum number identifies the
type of sublevel that the electron occupies.
• There are four types of sublevels in atoms.
• The sublevels are identified by the letters:
s, p, d, f
“s” sublevel and “p” sublevel
p orbitals have a
dumbbell shape
a s orbitals have a
spherical shape
Types of sublevels
• There are four types of sublevels in atoms.
• The sublevels are designated s, p, d, f.
n Energy
level
# of
sublevels
Sublevel
types
1 1 1 1s
2 2 2 2s, 2p
3 3 3 3s, 3p, 3d
4 4 4 4s, 4p, 4d, 4f
The Third Quantum Number
• The third quantum number identifies the
orbital that the electron is in.
• An orbital is an area within a sublevel that
can hold up to two electrons.
An “s” sublevel has one orbital
A “p” sublevel has three orbitals
A “d” sublevel has five orbitals
An “f” sublevel has seven orbitals
The 4th Energy Level
• n = ?
The 4th Energy Level
• n = 4
The 4th Energy Level
• How many sublevels are present and
what type are they?
• Four sublevels: s, p, d, f
The 4th Energy Level
• How many orbitals are present?
• n2 = (4)2 = 16
The 4th Energy Level
•What is the maximum number of electrons?
•2n2 = 2(4)2 = 32
The Fourth Quantum Number “s”
• Also called the spin quantum number.
• Can be either +1/2 or -1/2.
• Specifies the direction of spin of the
electron on its axis.
• Spins are designated up or down.
Electron Spin
• Opposite spins
produce opposite
magnetic fields.
+1/2 -1/2
What sublevel is the first to
be filled with electrons?
O
Which sublevel listed
contains orbitals of the
highest energy?
O
Finish Video
• Electron Arrangement and Bonding.
Homework
• Complete Chapter 5 Worksheet 1

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general chemistry - -Quantum Numbers.ppt

  • 2. Quantum Numbers • There are four quantum numbers that describe the properties of an electron and the “orbital” that it occupies within an atom. Apple
  • 3. What are orbitals? • The main division of energy for an electron within an atom is called the energy level or shell. • The energy level (shell) is subdivided into distinct areas called sublevels (subshells). • The sublevels are divided into orbitals. The orbitals are where the electrons are found. • Each orbital can hold no more than a pair of electrons.
  • 4. Four Quantum Numbers describe the following: 1. distance from the nucleus 2. shape of the orbital 3. 3-dimensional positioning of the orbital 4. direction of electron’s spin within the orbital
  • 5. The First Quantum Number The Principal Quantum Number • Abbreviated as “n” • n = 1,2,3... • Represents the distance of an electron from the nucleus & the main energy level of the electron.
  • 6. What else does the Principal Quantum Number (n) tell us? • n = number of sublevels in the energy level.
  • 7. What else does the Principal Quantum Number (n) tell us? • n2 = number of orbitals in the energy level.
  • 8. What else does the Principal Quantum Number (n) tell us? • 2n2 = maximum number of electrons possible in the energy level.
  • 9. n Energy level # of sublevels # of orbitals Max # of electrons 1 1 1 1 2 2 2 2 4 8 3 3 3 9 18 4 4 4 16 32
  • 10. The Second Quantum Number (Types of Sublevels) • The second quantum number identifies the type of sublevel that the electron occupies. • There are four types of sublevels in atoms. • The sublevels are identified by the letters: s, p, d, f
  • 11. “s” sublevel and “p” sublevel p orbitals have a dumbbell shape a s orbitals have a spherical shape
  • 12. Types of sublevels • There are four types of sublevels in atoms. • The sublevels are designated s, p, d, f. n Energy level # of sublevels Sublevel types 1 1 1 1s 2 2 2 2s, 2p 3 3 3 3s, 3p, 3d 4 4 4 4s, 4p, 4d, 4f
  • 13. The Third Quantum Number • The third quantum number identifies the orbital that the electron is in. • An orbital is an area within a sublevel that can hold up to two electrons.
  • 14. An “s” sublevel has one orbital
  • 15. A “p” sublevel has three orbitals
  • 16. A “d” sublevel has five orbitals
  • 17. An “f” sublevel has seven orbitals
  • 18. The 4th Energy Level • n = ?
  • 19. The 4th Energy Level • n = 4
  • 20. The 4th Energy Level • How many sublevels are present and what type are they? • Four sublevels: s, p, d, f
  • 21. The 4th Energy Level • How many orbitals are present? • n2 = (4)2 = 16
  • 22. The 4th Energy Level •What is the maximum number of electrons? •2n2 = 2(4)2 = 32
  • 23. The Fourth Quantum Number “s” • Also called the spin quantum number. • Can be either +1/2 or -1/2. • Specifies the direction of spin of the electron on its axis. • Spins are designated up or down.
  • 24. Electron Spin • Opposite spins produce opposite magnetic fields. +1/2 -1/2
  • 25. What sublevel is the first to be filled with electrons? O
  • 26. Which sublevel listed contains orbitals of the highest energy? O
  • 27. Finish Video • Electron Arrangement and Bonding.