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CHEMISTRY 161 – FALL 2019 Dr. Mioy T. Huynh Molecular Orbital Theory DR. MIOY T. HUYNH YALE UNIVERSITY CHEMISTRY 161 FALL 2019 www.mioy.org/chem161

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Page 1: Molecular Orbital Theory · MOTIVATING MOLECULAR ORBITAL (MO) THEORY A commonality among the Lewis model, VSEPR theory, and valence bond theory is that electronsin these models are

CHEMISTRY 161 – FALL 2019 Dr. Mioy T. Huynh

Molecular Orbital TheoryDR. MIOY T. HUYNHYALE UNIVERSITYCHEMISTRY 161

FALL 2019

www.mioy.org/chem161

Page 2: Molecular Orbital Theory · MOTIVATING MOLECULAR ORBITAL (MO) THEORY A commonality among the Lewis model, VSEPR theory, and valence bond theory is that electronsin these models are

CHEMISTRY 161 – FALL 2019 Dr. Mioy T. Huynh

Reviewing Models of Chemical Structures

PROS CONSLewis Structure: simple; 2-dimensional only;

good for n = 1, 2 all electrons paired;cannot predict magnetism;falters for: odd number electrons,resonance, multiple structuresmany exceptions (n ≥ 3)

VSEPR: expansion of Lewis; all electrons paired;3-dimensional; cannot predict magnetism;gives info on angles

VALENCE BOND gives geometric info; electrons localized to atoms;THEORY: relatively simple cannot predict magnetism easily

Page 3: Molecular Orbital Theory · MOTIVATING MOLECULAR ORBITAL (MO) THEORY A commonality among the Lewis model, VSEPR theory, and valence bond theory is that electronsin these models are

CHEMISTRY 161 – FALL 2019 Dr. Mioy T. Huynh

Reviewing Models of Chemical Structures

PROS CONSLewis Structure: simple; 2-dimensional only;

good for n = 1, 2 all electrons paired;cannot predict magnetism;falters for: odd number electrons,resonance, multiple structuresmany exceptions (n ≥ 3)

VSEPR: expansion of Lewis; all electrons paired;3-dimensional; cannot predict magnetism;gives info on angles

VALENCE BOND gives geometric info; electrons localized to atoms;THEORY: relatively simple cannot predict magnetism easily

Page 4: Molecular Orbital Theory · MOTIVATING MOLECULAR ORBITAL (MO) THEORY A commonality among the Lewis model, VSEPR theory, and valence bond theory is that electronsin these models are

CHEMISTRY 161 – FALL 2019 Dr. Mioy T. Huynh

MOTIVATING MOLECULAR ORBITAL (MO) THEORY

A commonality among the Lewis model, VSEPR theory, and valence bond theory is that electrons in these models are mostly paired ➞ diamagnetic.

Page 5: Molecular Orbital Theory · MOTIVATING MOLECULAR ORBITAL (MO) THEORY A commonality among the Lewis model, VSEPR theory, and valence bond theory is that electronsin these models are

CHEMISTRY 161 – FALL 2019 Dr. Mioy T. Huynh

MOTIVATING MOLECULAR ORBITAL (MO) THEORY

A commonality among the Lewis model, VSEPR theory, and valence bond theory is that electrons in these models are mostly paired ➞ diamagnetic.

As such, they all have some difficulty describing chemical structures with:

Page 6: Molecular Orbital Theory · MOTIVATING MOLECULAR ORBITAL (MO) THEORY A commonality among the Lewis model, VSEPR theory, and valence bond theory is that electronsin these models are

CHEMISTRY 161 – FALL 2019 Dr. Mioy T. Huynh

MOTIVATING MOLECULAR ORBITAL (MO) THEORY

A commonality among the Lewis model, VSEPR theory, and valence bond theory is that electrons in these models are mostly paired ➞ diamagnetic.

As such, they all have some difficulty describing chemical structures with:• Odd numbers of electrons (called “radicals”)

Page 7: Molecular Orbital Theory · MOTIVATING MOLECULAR ORBITAL (MO) THEORY A commonality among the Lewis model, VSEPR theory, and valence bond theory is that electronsin these models are

CHEMISTRY 161 – FALL 2019 Dr. Mioy T. Huynh

MOTIVATING MOLECULAR ORBITAL (MO) THEORY

A commonality among the Lewis model, VSEPR theory, and valence bond theory is that electrons in these models are mostly paired ➞ diamagnetic.

As such, they all have some difficulty describing chemical structures with:• Odd numbers of electrons (called “radicals”)• Unpaired electrons ➞ paramagnetic

Page 8: Molecular Orbital Theory · MOTIVATING MOLECULAR ORBITAL (MO) THEORY A commonality among the Lewis model, VSEPR theory, and valence bond theory is that electronsin these models are

CHEMISTRY 161 – FALL 2019 Dr. Mioy T. Huynh

MOTIVATING MOLECULAR ORBITAL (MO) THEORY

A commonality among the Lewis model, VSEPR theory, and valence bond theory is that electrons in these models are mostly paired ➞ diamagnetic.

As such, they all have some difficulty describing chemical structures with:• Odd numbers of electrons (called “radicals”)• Unpaired electrons ➞ paramagnetic

DIAMAGNETIC all electrons paired (↿⇂) PARAMAGNETIC unpaired electrons (↿ or ⇂)

microscopicphenomenon

Page 9: Molecular Orbital Theory · MOTIVATING MOLECULAR ORBITAL (MO) THEORY A commonality among the Lewis model, VSEPR theory, and valence bond theory is that electronsin these models are

CHEMISTRY 161 – FALL 2019 Dr. Mioy T. Huynh

MOTIVATING MOLECULAR ORBITAL (MO) THEORY

A commonality among the Lewis model, VSEPR theory, and valence bond theory is that electrons in these models are mostly paired ➞ diamagnetic.

As such, they all have some difficulty describing chemical structures with:• Odd numbers of electrons (called “radicals”)• Unpaired electrons ➞ paramagnetic

DIAMAGNETIC all electrons paired (↿⇂) ➞ not attracted to poles of magnetPARAMAGNETIC unpaired electrons (↿ or ⇂) ➞ attracted to poles of magnet

microscopicphenomenon

macroscopicphenomenon

Page 10: Molecular Orbital Theory · MOTIVATING MOLECULAR ORBITAL (MO) THEORY A commonality among the Lewis model, VSEPR theory, and valence bond theory is that electronsin these models are

CHEMISTRY 161 – FALL 2019 Dr. Mioy T. Huynh

MOTIVATING MOLECULAR ORBITAL (MO) THEORY

A commonality among the Lewis model, VSEPR theory, and valence bond theory is that electrons in these models are mostly paired ➞ diamagnetic.

As such, they all have some difficulty describing chemical structures with:• Odd numbers of electrons (called “radicals”)• Unpaired electrons ➞ paramagnetic

DIAMAGNETIC all electrons paired (↿⇂) ➞ not attracted to poles of magnetPARAMAGNETIC unpaired electrons (↿ or ⇂) ➞ attracted to poles of magnet

microscopicphenomenon

macroscopicphenomenon

We need a model of chemical bonding that can capture this phenomenon!

Page 11: Molecular Orbital Theory · MOTIVATING MOLECULAR ORBITAL (MO) THEORY A commonality among the Lewis model, VSEPR theory, and valence bond theory is that electronsin these models are

CHEMISTRY 161 – FALL 2019 Dr. Mioy T. Huynh

VALENCE BOND vs. MOLECULAR ORBITAL

Valence Bond (VB) Theory

Mixing atomic orbitals (AOs) within an atom.

Molecular Orbital (MO) Theory

Page 12: Molecular Orbital Theory · MOTIVATING MOLECULAR ORBITAL (MO) THEORY A commonality among the Lewis model, VSEPR theory, and valence bond theory is that electronsin these models are

CHEMISTRY 161 – FALL 2019 Dr. Mioy T. Huynh

VALENCE BOND vs. MOLECULAR ORBITAL

Valence Bond (VB) Theory

Mixing atomic orbitals (AOs) within an atom.

Molecular Orbital (MO) TheoryEN

ERG

Y

↿⇂

1s

↿⇂

2s

↿⇂ ↿ ↿

2p

C

↿⇂ ↿⇂ ↿⇂ ↿⇂

sp3

Page 13: Molecular Orbital Theory · MOTIVATING MOLECULAR ORBITAL (MO) THEORY A commonality among the Lewis model, VSEPR theory, and valence bond theory is that electronsin these models are

CHEMISTRY 161 – FALL 2019 Dr. Mioy T. Huynh

VALENCE BOND vs. MOLECULAR ORBITAL

Valence Bond (VB) Theory

Mixing atomic orbitals (AOs) within an atom.

Molecular Orbital (MO) Theory

Mixing atomic orbitals (AOs) betweentwo (or more) atoms.

ENER

GY

↿⇂

1s

↿⇂

2s

↿⇂ ↿ ↿

2p

C

↿⇂ ↿⇂ ↿⇂ ↿⇂

sp3

Page 14: Molecular Orbital Theory · MOTIVATING MOLECULAR ORBITAL (MO) THEORY A commonality among the Lewis model, VSEPR theory, and valence bond theory is that electronsin these models are

CHEMISTRY 161 – FALL 2019 Dr. Mioy T. Huynh

VALENCE BOND vs. MOLECULAR ORBITAL

Valence Bond (VB) Theory

Mixing atomic orbitals (AOs) within an atom.

Molecular Orbital (MO) Theory

Mixing atomic orbitals (AOs) betweentwo (or more) atoms.

ENER

GY

↿⇂

1s

↿⇂

2s

↿⇂ ↿ ↿

2p

C

↿⇂ ↿⇂ ↿⇂ ↿⇂

sp3

ENER

GY

↿⇂

1s

↿⇂

2s

↿ ↿ ↿

2p

N

↿⇂

1s

↿⇂

2s

↿ ↿ ↿

2p

N

Page 15: Molecular Orbital Theory · MOTIVATING MOLECULAR ORBITAL (MO) THEORY A commonality among the Lewis model, VSEPR theory, and valence bond theory is that electronsin these models are

CHEMISTRY 161 – FALL 2019 Dr. Mioy T. Huynh

VALENCE BOND vs. MOLECULAR ORBITAL

Valence Bond (VB) Theory

Mixing atomic orbitals (AOs) within an atom.

Molecular Orbital (MO) Theory

Mixing atomic orbitals (AOs) betweentwo (or more) atoms.

ENER

GY

↿⇂

1s

↿⇂

2s

↿⇂ ↿ ↿

2p

C

↿⇂ ↿⇂ ↿⇂ ↿⇂

sp3

ENER

GY

↿⇂

1s

↿⇂

2s

↿ ↿ ↿

2p

N

↿⇂

1s

↿⇂

2s

↿ ↿ ↿

2p

N

How do these mix?

Page 16: Molecular Orbital Theory · MOTIVATING MOLECULAR ORBITAL (MO) THEORY A commonality among the Lewis model, VSEPR theory, and valence bond theory is that electronsin these models are

CHEMISTRY 161 – FALL 2019 Dr. Mioy T. Huynh

VALENCE BOND vs. MOLECULAR ORBITAL

Valence Bond (VB) Theory

Mixing atomic orbitals (AOs) within an atom.

(only valence electrons comprise bond)

Molecular Orbital (MO) Theory

Mixing atomic orbitals (AOs) betweentwo (or more) atoms.

(only valence electrons comprise bond)

ENER

GY

↿⇂

1s

↿⇂

2s

↿⇂ ↿ ↿

2p

C

↿⇂ ↿⇂ ↿⇂ ↿⇂

sp3

ENER

GY

↿⇂

1s

↿⇂

2s

↿ ↿ ↿

2p

N

↿⇂

1s

↿⇂

2s

↿ ↿ ↿

2p

N

How do these mix?

Page 17: Molecular Orbital Theory · MOTIVATING MOLECULAR ORBITAL (MO) THEORY A commonality among the Lewis model, VSEPR theory, and valence bond theory is that electronsin these models are

CHEMISTRY 161 – FALL 2019 Dr. Mioy T. Huynh

THE CASE OF N2 (N = 1s22s22p3)

Valence Bond (VB) Theory Molecular Orbital (MO) Theory

Page 18: Molecular Orbital Theory · MOTIVATING MOLECULAR ORBITAL (MO) THEORY A commonality among the Lewis model, VSEPR theory, and valence bond theory is that electronsin these models are

CHEMISTRY 161 – FALL 2019 Dr. Mioy T. Huynh

THE CASE OF N2 (N = 1s22s22p3)

Valence Bond (VB) Theory Molecular Orbital (MO) Theory

ENER

GY

↿⇂

2s

↿ ↿ ↿

2p

N

Page 19: Molecular Orbital Theory · MOTIVATING MOLECULAR ORBITAL (MO) THEORY A commonality among the Lewis model, VSEPR theory, and valence bond theory is that electronsin these models are

CHEMISTRY 161 – FALL 2019 Dr. Mioy T. Huynh

THE CASE OF N2 (N = 1s22s22p3)

Valence Bond (VB) Theory

Each N atom is sp-hybridized (SN = 2).

Molecular Orbital (MO) Theory

ENER

GY

↿⇂

2s

↿ ↿ ↿

2p

N

↿⇂ ↿⇂

sp

↿⇂ ↿⇂

p

Page 20: Molecular Orbital Theory · MOTIVATING MOLECULAR ORBITAL (MO) THEORY A commonality among the Lewis model, VSEPR theory, and valence bond theory is that electronsin these models are

CHEMISTRY 161 – FALL 2019 Dr. Mioy T. Huynh

THE CASE OF N2 (N = 1s22s22p3)

Valence Bond (VB) Theory

Each N atom is sp-hybridized (SN = 2).The second N’s electrons are in purple.

Molecular Orbital (MO) Theory

ENER

GY

↿⇂

2s

↿ ↿ ↿

2p

N

↿⇂ ↿⇂

sp

↿⇂ ↿⇂

p

Page 21: Molecular Orbital Theory · MOTIVATING MOLECULAR ORBITAL (MO) THEORY A commonality among the Lewis model, VSEPR theory, and valence bond theory is that electronsin these models are

CHEMISTRY 161 – FALL 2019 Dr. Mioy T. Huynh

THE CASE OF N2 (N = 1s22s22p3)

Valence Bond (VB) Theory

Each N atom is sp-hybridized (SN = 2).The second N’s electrons are in purple.

Molecular Orbital (MO) Theory

ENER

GY

↿⇂

2s

↿ ↿ ↿

2p

N

↿⇂ ↿⇂

sp

↿⇂ ↿⇂

p

1 lone pair

Page 22: Molecular Orbital Theory · MOTIVATING MOLECULAR ORBITAL (MO) THEORY A commonality among the Lewis model, VSEPR theory, and valence bond theory is that electronsin these models are

CHEMISTRY 161 – FALL 2019 Dr. Mioy T. Huynh

THE CASE OF N2 (N = 1s22s22p3)

Valence Bond (VB) Theory

Each N atom is sp-hybridized (SN = 2).The second N’s electrons are in purple.

Molecular Orbital (MO) Theory

ENER

GY

↿⇂

2s

↿ ↿ ↿

2p

N

↿⇂ ↿⇂

sp

↿⇂ ↿⇂

p

1 lone pair1 σ bond

Page 23: Molecular Orbital Theory · MOTIVATING MOLECULAR ORBITAL (MO) THEORY A commonality among the Lewis model, VSEPR theory, and valence bond theory is that electronsin these models are

CHEMISTRY 161 – FALL 2019 Dr. Mioy T. Huynh

THE CASE OF N2 (N = 1s22s22p3)

Valence Bond (VB) Theory

Each N atom is sp-hybridized (SN = 2).The second N’s electrons are in purple.

Molecular Orbital (MO) Theory

ENER

GY

↿⇂

2s

↿ ↿ ↿

2p

N

↿⇂ ↿⇂

sp

↿⇂ ↿⇂

p

1 lone pair1 σ bond

2 π bonds

Page 24: Molecular Orbital Theory · MOTIVATING MOLECULAR ORBITAL (MO) THEORY A commonality among the Lewis model, VSEPR theory, and valence bond theory is that electronsin these models are

CHEMISTRY 161 – FALL 2019 Dr. Mioy T. Huynh

THE CASE OF N2 (N = 1s22s22p3)

Valence Bond (VB) Theory

Each N atom is sp-hybridized (SN = 2).The second N’s electrons are in purple.

Molecular Orbital (MO) Theory

ENER

GY

↿⇂

2s

↿ ↿ ↿

2p

N

↿⇂ ↿⇂

sp

↿⇂ ↿⇂

p

1 lone pair1 σ bond

2 π bonds ENER

GY

↿⇂

2s

↿ ↿ ↿

2p

N(AO)

↿⇂

2s

⇂ ⇂ ⇂

2p

N(AO)

Page 25: Molecular Orbital Theory · MOTIVATING MOLECULAR ORBITAL (MO) THEORY A commonality among the Lewis model, VSEPR theory, and valence bond theory is that electronsin these models are

CHEMISTRY 161 – FALL 2019 Dr. Mioy T. Huynh

THE CASE OF N2 (N = 1s22s22p3)

Valence Bond (VB) Theory

Each N atom is sp-hybridized (SN = 2).The second N’s electrons are in purple.

Molecular Orbital (MO) Theory

ENER

GY

↿⇂

2s

↿ ↿ ↿

2p

N

↿⇂ ↿⇂

sp

↿⇂ ↿⇂

p

1 lone pair1 σ bond

2 π bonds ENER

GY

↿⇂

2s

↿ ↿ ↿

2p

N(AO)

↿⇂

2s

⇂ ⇂ ⇂

2p

N(AO)

N2(MO)

How do these mix?

How do these mix?

Page 26: Molecular Orbital Theory · MOTIVATING MOLECULAR ORBITAL (MO) THEORY A commonality among the Lewis model, VSEPR theory, and valence bond theory is that electronsin these models are

CHEMISTRY 161 – FALL 2019 Dr. Mioy T. Huynh

THE CASE OF N2 (N = 1s22s22p3)

Valence Bond (VB) Theory

Each N atom is sp-hybridized (SN = 2).The second N’s electrons are in purple.

Molecular Orbital (MO) Theory

ENER

GY

↿⇂

2s

↿ ↿ ↿

2p

N

↿⇂ ↿⇂

sp

↿⇂ ↿⇂

p

1 lone pair1 σ bond

2 π bonds ENER

GY

↿⇂

2s

↿ ↿ ↿

2p

N(AO)

↿⇂

2s

⇂ ⇂ ⇂

2p

N(AO)

↿⇂

σ2s

↿⇂

σ2s

*

N2(MO)

How do these mix?

Page 27: Molecular Orbital Theory · MOTIVATING MOLECULAR ORBITAL (MO) THEORY A commonality among the Lewis model, VSEPR theory, and valence bond theory is that electronsin these models are

CHEMISTRY 161 – FALL 2019 Dr. Mioy T. Huynh

THE CASE OF N2 (N = 1s22s22p3)

Valence Bond (VB) Theory

Each N atom is sp-hybridized (SN = 2).The second N’s electrons are in purple.

Molecular Orbital (MO) Theory

ENER

GY

↿⇂

2s

↿ ↿ ↿

2p

N

↿⇂ ↿⇂

sp

↿⇂ ↿⇂

p

1 lone pair1 σ bond

2 π bonds ENER

GY

↿⇂

2s

↿ ↿ ↿

2p

N(AO)

↿⇂

2s

⇂ ⇂ ⇂

2p

N(AO)

↿⇂

σ2s

↿⇂

σ2s

*

↿⇂

σ2p

↿⇂

σ2p

*

↿⇂ ↿⇂

π2p

↿⇂ ↿⇂

π2p*

N2(MO)

Don’t worry about ordering of MOs here.

Page 28: Molecular Orbital Theory · MOTIVATING MOLECULAR ORBITAL (MO) THEORY A commonality among the Lewis model, VSEPR theory, and valence bond theory is that electronsin these models are

CHEMISTRY 161 – FALL 2019 Dr. Mioy T. Huynh

THE CASE OF N2 (N = 1s22s22p3)

Valence Bond (VB) Theory

Each N atom is sp-hybridized (SN = 2).The second N’s electrons are in purple.

Molecular Orbital (MO) Theory

ENER

GY

↿⇂

2s

↿ ↿ ↿

2p

N

↿⇂ ↿⇂

sp

↿⇂ ↿⇂

p

1 lone pair1 σ bond

2 π bonds ENER

GY

↿⇂

2s

↿ ↿ ↿

2p

N(AO)

↿⇂

2s

⇂ ⇂ ⇂

2p

N(AO)

↿⇂

σ2s

↿⇂

σ2s

*

↿⇂

σ2p

↿⇂

σ2p

*

↿⇂ ↿⇂

π2p

↿⇂ ↿⇂

π2p*

N2(MO)

fill from bottom up

Don’t worry about ordering of MOs here.

Page 29: Molecular Orbital Theory · MOTIVATING MOLECULAR ORBITAL (MO) THEORY A commonality among the Lewis model, VSEPR theory, and valence bond theory is that electronsin these models are

CHEMISTRY 161 – FALL 2019 Dr. Mioy T. Huynh

THE CASE OF N2 (N = 1s22s22p3)

Valence Bond (VB) Theory

Each N atom is sp-hybridized (SN = 2).The second N’s electrons are in purple.

Molecular Orbital (MO) Theory

ENER

GY

↿⇂

2s

↿ ↿ ↿

2p

N

↿⇂ ↿⇂

sp

↿⇂ ↿⇂

p

1 lone pair1 σ bond

2 π bonds ENER

GY

↿⇂

2s

↿ ↿ ↿

2p

N(AO)

↿⇂

2s

⇂ ⇂ ⇂

2p

N(AO)

↿⇂

σ2s

↿⇂

σ2s

*

↿⇂

σ2p

↿⇂

σ2p

*

↿⇂ ↿⇂

π2p

↿⇂ ↿⇂

π2p*

N2(MO)

fill from bottom up

Don’t worry about ordering of MOs here.

Page 30: Molecular Orbital Theory · MOTIVATING MOLECULAR ORBITAL (MO) THEORY A commonality among the Lewis model, VSEPR theory, and valence bond theory is that electronsin these models are

CHEMISTRY 161 – FALL 2019 Dr. Mioy T. Huynh

THE CASE OF N2 (N = 1s22s22p3)

Valence Bond (VB) Theory

Each N atom is sp-hybridized (SN = 2).The second N’s electrons are in purple.

Molecular Orbital (MO) Theory

ENER

GY

↿⇂

2s

↿ ↿ ↿

2p

N

↿⇂ ↿⇂

sp

↿⇂ ↿⇂

p

1 lone pair1 σ bond

2 π bonds ENER

GY

↿⇂

2s

↿ ↿ ↿

2p

N(AO)

↿⇂

2s

⇂ ⇂ ⇂

2p

N(AO)

↿⇂

σ2s

↿⇂

σ2s

*

↿⇂

σ2p

↿⇂

σ2p

*

↿⇂ ↿⇂

π2p

↿⇂ ↿⇂

π2p*

N2(MO)

bonding orbitals

Don’t worry about ordering of MOs here.

Page 31: Molecular Orbital Theory · MOTIVATING MOLECULAR ORBITAL (MO) THEORY A commonality among the Lewis model, VSEPR theory, and valence bond theory is that electronsin these models are

CHEMISTRY 161 – FALL 2019 Dr. Mioy T. Huynh

THE CASE OF N2 (N = 1s22s22p3)

Valence Bond (VB) Theory

Each N atom is sp-hybridized (SN = 2).The second N’s electrons are in purple.

Molecular Orbital (MO) Theory

ENER

GY

↿⇂

2s

↿ ↿ ↿

2p

N

↿⇂ ↿⇂

sp

↿⇂ ↿⇂

p

1 lone pair1 σ bond

2 π bonds ENER

GY

↿⇂

2s

↿ ↿ ↿

2p

N(AO)

↿⇂

2s

⇂ ⇂ ⇂

2p

N(AO)

↿⇂

σ2s

↿⇂

σ2s

*

↿⇂

σ2p

↿⇂

σ2p

*

↿⇂ ↿⇂

π2p

↿⇂ ↿⇂

π2p*

N2(MO)

bonding orbitals

antibonding orbitals

Don’t worry about ordering of MOs here.

Page 32: Molecular Orbital Theory · MOTIVATING MOLECULAR ORBITAL (MO) THEORY A commonality among the Lewis model, VSEPR theory, and valence bond theory is that electronsin these models are

CHEMISTRY 161 – FALL 2019 Dr. Mioy T. Huynh

THE CASE OF N2 (N = 1s22s22p3)

Valence Bond (VB) Theory

Each N atom is sp-hybridized (SN = 2).The second N’s electrons are in purple.

Molecular Orbital (MO) TheoryBO = ½ [bonding e– – antibonding e–]

ENER

GY

↿⇂

2s

↿ ↿ ↿

2p

N

↿⇂ ↿⇂

sp

↿⇂ ↿⇂

p

1 lone pair1 σ bond

2 π bonds ENER

GY

↿⇂

2s

↿ ↿ ↿

2p

N(AO)

↿⇂

2s

⇂ ⇂ ⇂

2p

N(AO)

↿⇂

σ2s

↿⇂

σ2s

*

↿⇂

σ2p

↿⇂

σ2p

*

↿⇂ ↿⇂

π2p

↿⇂ ↿⇂

π2p*

N2(MO)

bonding orbitals

antibonding orbitals

Page 33: Molecular Orbital Theory · MOTIVATING MOLECULAR ORBITAL (MO) THEORY A commonality among the Lewis model, VSEPR theory, and valence bond theory is that electronsin these models are

CHEMISTRY 161 – FALL 2019 Dr. Mioy T. Huynh

THE CASE OF N2 (N = 1s22s22p3)

Valence Bond (VB) Theory

Each N atom is sp-hybridized (SN = 2).The second N’s electrons are in purple.

Molecular Orbital (MO) TheoryBO = ½ [8 e– – 2 e–] = 3 (triple bond)

ENER

GY

↿⇂

2s

↿ ↿ ↿

2p

N

↿⇂ ↿⇂

sp

↿⇂ ↿⇂

p

1 lone pair1 σ bond

2 π bonds ENER

GY

↿⇂

2s

↿ ↿ ↿

2p

N(AO)

↿⇂

2s

⇂ ⇂ ⇂

2p

N(AO)

↿⇂

σ2s

↿⇂

σ2s

*

↿⇂

σ2p

↿⇂

σ2p

*

↿⇂ ↿⇂

π2p

↿⇂ ↿⇂

π2p*

N2(MO)

bonding orbitals

antibonding orbitals

Page 34: Molecular Orbital Theory · MOTIVATING MOLECULAR ORBITAL (MO) THEORY A commonality among the Lewis model, VSEPR theory, and valence bond theory is that electronsin these models are

CHEMISTRY 161 – FALL 2019 Dr. Mioy T. Huynh

THE CASE OF N2 (N = 1s22s22p3)

Valence Bond (VB) Theory

Each N atom is sp-hybridized (SN = 2).The second N’s electrons are in purple.

Molecular Orbital (MO) TheoryBO = ½ [8 e– – 2 e–] = 3 (triple bond)

ENER

GY

↿⇂

2s

↿ ↿ ↿

2p

N

↿⇂ ↿⇂

sp

↿⇂ ↿⇂

p

1 lone pair1 σ bond

2 π bonds ENER

GY

↿⇂

2s

↿ ↿ ↿

2p

N(AO)

↿⇂

2s

⇂ ⇂ ⇂

2p

N(AO)

↿⇂

σ2s

↿⇂

σ2s

*

↿⇂

σ2p

↿⇂

σ2p

*

↿⇂ ↿⇂

π2p

↿⇂ ↿⇂

π2p*

N2(MO)

bonding orbitals

antibonding orbitals

DIAMAGNETIC

Page 35: Molecular Orbital Theory · MOTIVATING MOLECULAR ORBITAL (MO) THEORY A commonality among the Lewis model, VSEPR theory, and valence bond theory is that electronsin these models are

CHEMISTRY 161 – FALL 2019 Dr. Mioy T. Huynh

THE CASE OF O2 (O = 1s22s22p4)

Valence Bond (VB) Theory Molecular Orbital (MO) Theory

Page 36: Molecular Orbital Theory · MOTIVATING MOLECULAR ORBITAL (MO) THEORY A commonality among the Lewis model, VSEPR theory, and valence bond theory is that electronsin these models are

CHEMISTRY 161 – FALL 2019 Dr. Mioy T. Huynh

THE CASE OF O2 (O = 1s22s22p4)

Valence Bond (VB) Theory

Each O atom is sp2-hybridized (SN = 3).

Molecular Orbital (MO) Theory

ENER

GY

↿⇂

2s

↿⇂ ↿ ↿

2p

O

↿⇂ ↿⇂ ↿⇂

sp2

↿⇂

p

Page 37: Molecular Orbital Theory · MOTIVATING MOLECULAR ORBITAL (MO) THEORY A commonality among the Lewis model, VSEPR theory, and valence bond theory is that electronsin these models are

CHEMISTRY 161 – FALL 2019 Dr. Mioy T. Huynh

THE CASE OF O2 (O = 1s22s22p4)

Valence Bond (VB) Theory

Each O atom is sp2-hybridized (SN = 3).The second O’s electrons are in purple.

Molecular Orbital (MO) Theory

ENER

GY

↿⇂

2s

↿⇂ ↿ ↿

2p

O

↿⇂ ↿⇂ ↿⇂

sp2

↿⇂

p

2 lone pairs1 σ bond

1 π bond

Page 38: Molecular Orbital Theory · MOTIVATING MOLECULAR ORBITAL (MO) THEORY A commonality among the Lewis model, VSEPR theory, and valence bond theory is that electronsin these models are

CHEMISTRY 161 – FALL 2019 Dr. Mioy T. Huynh

THE CASE OF O2 (O = 1s22s22p4)

Valence Bond (VB) Theory

Each O atom is sp2-hybridized (SN = 3).The second O’s electrons are in purple.

Molecular Orbital (MO) Theory

ENER

GY

↿⇂

2s

↿⇂ ↿ ↿

2p

O

↿⇂ ↿⇂ ↿⇂

sp2

↿⇂

p

2 lone pairs1 σ bond

1 π bond ENER

GY

↿⇂

2s

↿⇂ ↿ ↿

2p

O(AO)

↿⇂

2s

↿⇂ ⇂ ⇂

2p

O(AO)

σ2s

σ2s

*

↿⇂

σ2p

σ2p

*

π2p

π2p*

O2(MO)

bonding orbitals

antibonding orbitals

Page 39: Molecular Orbital Theory · MOTIVATING MOLECULAR ORBITAL (MO) THEORY A commonality among the Lewis model, VSEPR theory, and valence bond theory is that electronsin these models are

CHEMISTRY 161 – FALL 2019 Dr. Mioy T. Huynh

THE CASE OF O2 (O = 1s22s22p4)

Valence Bond (VB) Theory

Each O atom is sp2-hybridized (SN = 3).The second O’s electrons are in purple.

Molecular Orbital (MO) Theory

ENER

GY

↿⇂

2s

↿⇂ ↿ ↿

2p

O

↿⇂ ↿⇂ ↿⇂

sp2

↿⇂

p

2 lone pairs1 σ bond

1 π bond ENER

GY

↿⇂

2s

↿⇂ ↿ ↿

2p

O(AO)

↿⇂

2s

↿⇂ ⇂ ⇂

2p

O(AO)

↿⇂

σ2s

↿⇂

σ2s

*

↿⇂

σ2p

↿⇂

σ2p

*

↿⇂ ↿⇂

π2p

↿↿⇂ ↿

π2p*

O2(MO)

bonding orbitals

antibonding orbitals

Page 40: Molecular Orbital Theory · MOTIVATING MOLECULAR ORBITAL (MO) THEORY A commonality among the Lewis model, VSEPR theory, and valence bond theory is that electronsin these models are

CHEMISTRY 161 – FALL 2019 Dr. Mioy T. Huynh

THE CASE OF O2 (O = 1s22s22p4)

Valence Bond (VB) Theory

Each O atom is sp2-hybridized (SN = 3).The second O’s electrons are in purple.

Molecular Orbital (MO) TheoryBO = ½ [8 e– – 4 e–] = 3 (double bond)

ENER

GY

↿⇂

2s

↿⇂ ↿ ↿

2p

O

↿⇂ ↿⇂ ↿⇂

sp2

↿⇂

p

2 lone pairs1 σ bond

1 π bond ENER

GY

↿⇂

2s

↿⇂ ↿ ↿

2p

O(AO)

↿⇂

2s

↿⇂ ⇂ ⇂

2p

O(AO)

↿⇂

σ2s

↿⇂

σ2s

*

↿⇂

σ2p

↿⇂

σ2p

*

↿⇂ ↿⇂

π2p

↿↿⇂ ↿

π2p*

O2(MO)

bonding orbitals

antibonding orbitals

Page 41: Molecular Orbital Theory · MOTIVATING MOLECULAR ORBITAL (MO) THEORY A commonality among the Lewis model, VSEPR theory, and valence bond theory is that electronsin these models are

CHEMISTRY 161 – FALL 2019 Dr. Mioy T. Huynh

THE CASE OF O2 (O = 1s22s22p4)

Valence Bond (VB) Theory

Each O atom is sp2-hybridized (SN = 3).The second O’s electrons are in purple.

Molecular Orbital (MO) TheoryBO = ½ [8 e– – 4 e–] = 3 (double bond)

ENER

GY

↿⇂

2s

↿⇂ ↿ ↿

2p

O

↿⇂ ↿⇂ ↿⇂

sp2

↿⇂

p

2 lone pairs1 σ bond

1 π bond ENER

GY

↿⇂

2s

↿⇂ ↿ ↿

2p

O(AO)

↿⇂

2s

↿⇂ ⇂ ⇂

2p

O(AO)

↿⇂

σ2s

↿⇂

σ2s

*

↿⇂

σ2p

↿⇂

σ2p

*

↿⇂ ↿⇂

π2p

↿↿⇂ ↿

π2p*

O2(MO)

bonding orbitals

antibonding orbitals

UNPAIREDELECTRONS

Page 42: Molecular Orbital Theory · MOTIVATING MOLECULAR ORBITAL (MO) THEORY A commonality among the Lewis model, VSEPR theory, and valence bond theory is that electronsin these models are

CHEMISTRY 161 – FALL 2019 Dr. Mioy T. Huynh

THE CASE OF O2 (O = 1s22s22p4)

Valence Bond (VB) Theory

Each O atom is sp2-hybridized (SN = 3).The second O’s electrons are in purple.

Molecular Orbital (MO) TheoryBO = ½ [8 e– – 4 e–] = 2 (double bond)

ENER

GY

↿⇂

2s

↿⇂ ↿ ↿

2p

O

↿⇂ ↿⇂ ↿⇂

sp2

↿⇂

p

2 lone pairs1 σ bond

1 π bond ENER

GY

↿⇂

2s

↿⇂ ↿ ↿

2p

O(AO)

↿⇂

2s

↿⇂ ⇂ ⇂

2p

O(AO)

↿⇂

σ2s

↿⇂

σ2s

*

↿⇂

σ2p

↿⇂

σ2p

*

↿⇂ ↿⇂

π2p

↿↿⇂ ↿

π2p*

O2(MO)

bonding orbitals

antibonding orbitals

PARAMAGNETIC

UNPAIREDELECTRONS