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Quantum
Mechanical
Model
ENERGY LEVELS
In the BOHR
MODEL of the
atom, electrons
circle the nucleus
in the same way
that planets orbit
the sun.
• Negative electrons are attracted
to the positive nucleus.
Consequently, it takes energy to
move an electron away from the
nucleus to an outer circle.
-
-
-
- -
-
-
-
+
+
+
electron
proton
neutron
ENERGY LEVELS OR SHELLS
- circles where the electrons orbit.
• Electrons in the outermost circles
have higher energy since it
requires more effort to pull the
electron a greater distance from
the nucleus.
ENERGY LEVELS
• numbered I, 2, 3, etc.
• The smaller the number, the closer the
energy level is to the nucleus.
• "n" is used to represent the energy
level
• The energy level that is closest to the
nucleus has a value of n = I
• Sometimes we use the letter K, L, M,
etc. to represent the numbers I, 2, 3,
and so on.
• The value of n is sometimes called the
principle quantum number.
Look at the chart below and see if you can detect a
pattern.
n Maximum number of electrons
1 2
2 8
3 18
4 32
ENERGY LEVELS
Each energy level can only
hold a certain number of
electrons.
The first energy level can
only hold 2 electrons, the
second can only hold 8,
and the third can only hold
18.
ENERGY LEVELS
As the energy level increases, so does the number of electrons that can
fit into the shell. We can use a formula to predict the maximum
number o£ electrons that can fit into an energy level.
Max # of electrons = 2n2
For example, the maximum number of electrons that can occupy the 4th energy
level is
= 2(4)2
= 2(16)
= 32 electrons.
ENERGY LEVELS
Within each energy level are sublevels. The sublevels are labeled s, p, d,
and f. You need to memorize these 4- sublevels.
SUBLEVELS
The first energy level has an s sublevel.
The second energy level has s and p
sublevels.
The third energy level has s, p, and d
sublevels.
The fourth energy level has s, p, d, and f
sublevels.
Within each energy level are sublevels. The sublevels are labeled s, p, d,
and f. You need to memorize these 4- sublevels.
SUBLEVELS
n sublevels
1 s
2 s, p
3 s, p, d
4 s, p, d, f
nucleus
Notice that the number of sublevels in an energy level = # of the energy level
Within each sublevel there are orbitals. This is the final location where
electrons reside. Each sublevel has a certain number of orbitals
ORBITALS
sublevel orbital
s 1
p 3
d 5
f 7
An s sublevel has 1 orbital
A p sublevel has 3 orbitals
A d sublevel has 5 orbitals
A f sublevel has 7 orbitals
A maximum of 2 electrons can occupy an orbital
ORBITALS
Pauli Exclusion Principle
• When electrons occupy orbitals, they spin on their axis.
• If two electrons occupy an orbital, the must spin in opposite
directions.
SUMMARY
• Electrons orbit the nucleus in circles called energy levels (n)
• Inside the energy levels are sublevels (s, p, d, f).
• Inside the sublevels are orbitals.
Resources & References:
• Louie, R. (2016). Energy levels, energy sublevels, orbitals. Chemistry lecture
notes #21. https://tinyurl.com/fu4dxb83
IMAGE ON THIS FILE:
• The Principal Quantum Number, n. https://tinyurl.com/z4e7p34w
• Quantum mechanical Model. https://tinyurl.com/3f745w2w
• Bohr Model. https://tinyurl.com/yayu7azu
• Hund’s Rule, the Pauli Exclusion Principle and Aufbau Principle.
https://tinyurl.com/panmt8ed

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Lesson #1 quantum mechanical model

  • 2. ENERGY LEVELS In the BOHR MODEL of the atom, electrons circle the nucleus in the same way that planets orbit the sun.
  • 3. • Negative electrons are attracted to the positive nucleus. Consequently, it takes energy to move an electron away from the nucleus to an outer circle. - - - - - - - - + + + electron proton neutron ENERGY LEVELS OR SHELLS - circles where the electrons orbit. • Electrons in the outermost circles have higher energy since it requires more effort to pull the electron a greater distance from the nucleus.
  • 4. ENERGY LEVELS • numbered I, 2, 3, etc. • The smaller the number, the closer the energy level is to the nucleus. • "n" is used to represent the energy level • The energy level that is closest to the nucleus has a value of n = I • Sometimes we use the letter K, L, M, etc. to represent the numbers I, 2, 3, and so on. • The value of n is sometimes called the principle quantum number.
  • 5. Look at the chart below and see if you can detect a pattern. n Maximum number of electrons 1 2 2 8 3 18 4 32 ENERGY LEVELS
  • 6. Each energy level can only hold a certain number of electrons. The first energy level can only hold 2 electrons, the second can only hold 8, and the third can only hold 18. ENERGY LEVELS
  • 7. As the energy level increases, so does the number of electrons that can fit into the shell. We can use a formula to predict the maximum number o£ electrons that can fit into an energy level. Max # of electrons = 2n2 For example, the maximum number of electrons that can occupy the 4th energy level is = 2(4)2 = 2(16) = 32 electrons. ENERGY LEVELS
  • 8. Within each energy level are sublevels. The sublevels are labeled s, p, d, and f. You need to memorize these 4- sublevels. SUBLEVELS The first energy level has an s sublevel. The second energy level has s and p sublevels. The third energy level has s, p, and d sublevels. The fourth energy level has s, p, d, and f sublevels.
  • 9. Within each energy level are sublevels. The sublevels are labeled s, p, d, and f. You need to memorize these 4- sublevels. SUBLEVELS n sublevels 1 s 2 s, p 3 s, p, d 4 s, p, d, f nucleus Notice that the number of sublevels in an energy level = # of the energy level
  • 10. Within each sublevel there are orbitals. This is the final location where electrons reside. Each sublevel has a certain number of orbitals ORBITALS sublevel orbital s 1 p 3 d 5 f 7 An s sublevel has 1 orbital A p sublevel has 3 orbitals A d sublevel has 5 orbitals A f sublevel has 7 orbitals
  • 11. A maximum of 2 electrons can occupy an orbital ORBITALS
  • 12. Pauli Exclusion Principle • When electrons occupy orbitals, they spin on their axis. • If two electrons occupy an orbital, the must spin in opposite directions.
  • 13. SUMMARY • Electrons orbit the nucleus in circles called energy levels (n) • Inside the energy levels are sublevels (s, p, d, f). • Inside the sublevels are orbitals.
  • 14. Resources & References: • Louie, R. (2016). Energy levels, energy sublevels, orbitals. Chemistry lecture notes #21. https://tinyurl.com/fu4dxb83 IMAGE ON THIS FILE: • The Principal Quantum Number, n. https://tinyurl.com/z4e7p34w • Quantum mechanical Model. https://tinyurl.com/3f745w2w • Bohr Model. https://tinyurl.com/yayu7azu • Hund’s Rule, the Pauli Exclusion Principle and Aufbau Principle. https://tinyurl.com/panmt8ed