chapter 1: orbitals and bonding - colby 1.pdf · 2008. 9. 1. · a !-orbital (bonding) a !*-orbital...

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Chapter 1: Orbitals And Bonding

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Page 1: Chapter 1: Orbitals And Bonding - Colby 1.pdf · 2008. 9. 1. · a !-orbital (bonding) a !*-orbital (antibonding)! HÐH!* HÐH 52 kcal/mol E n e r g y Molecular Orbitals: A Brief

Chapter 1: Orbitals And Bonding

Page 2: Chapter 1: Orbitals And Bonding - Colby 1.pdf · 2008. 9. 1. · a !-orbital (bonding) a !*-orbital (antibonding)! HÐH!* HÐH 52 kcal/mol E n e r g y Molecular Orbitals: A Brief

Look back at “Chemistry, The Central Science” by Brown, Lemay, Bursten!

Chapter 1 Topics: Bonding Concepts

Ionization Potential (Ch. 8) Quantum Numbers (Ch. 8)Ionic Bonds (Ch. 8) Electronic Configuration (Ch. 8)Hund’s Rule (Ch. 8) Pauli Exclusion Principle (Ch. 8)Aufbau Principle (Ch. 8) Atomic Orbitals (Ch. 8)Lewis Structures (Ch. 8) Dipole Moment (Ch. 8)Electronegativity (Ch. 8) Valence Electrons (Ch. 8)Octet Rule (Ch. 8) Resonance Structures (Ch. 8)Bond Dissociation Energy (Ch. 8) Formal Charge (Ch. 8)Covalent Bonds (Ch. 8/9) Nodes (Ch. 8/9)Wave Functions (Ch. 9) Molecular Orbitals (Ch. 9)

Page 3: Chapter 1: Orbitals And Bonding - Colby 1.pdf · 2008. 9. 1. · a !-orbital (bonding) a !*-orbital (antibonding)! HÐH!* HÐH 52 kcal/mol E n e r g y Molecular Orbitals: A Brief

Organic Chemists usually don’t use quantum numbers – but we have to remember the correlations:

Orbital Nomenclature

Shell 1:

Shell 2:

Shell 3:

Shell 4:

Hig

her

En

erg

y One S orbital

One S, three P

One S, three P, five D

One S, three P, five D, seven F

The three P orbitals are designated Px, Py, Pz (different spacial orientations).

principal quantum number (n) azimuthal quantum

number (l)

magnetic quantum number (m)

(1s)

(2s, 2p)

(3s, 3p, 3d)

(4s, 4p, 4d, 4f)

Page 4: Chapter 1: Orbitals And Bonding - Colby 1.pdf · 2008. 9. 1. · a !-orbital (bonding) a !*-orbital (antibonding)! HÐH!* HÐH 52 kcal/mol E n e r g y Molecular Orbitals: A Brief

Ionic Bonding

Ionic bonds: One atom transfers electron to another. Molecule held together by electostatic (magnetic) forces. Formed between two atoms of very different electonegativities (>2.0 electronegativity difference)

Li F

Loss of one electron will lead to a completelyempty valence shell

Addition of one electronwill lead to a completely filled valence shell (fulloctet)

or LiFFLi

Atoms are especially stable when all of the valence orbitals are either completely filled orcompletely empty (the "noble gas" configuration). This has been adapted to the octet rule: (most)atoms are stable when there are 8 electrons in their outermost (valence) shell. For this course: 1st &2nd row atoms can never have more than 8 valence electrons and/or 4 valence orbitals!!!

Page 5: Chapter 1: Orbitals And Bonding - Colby 1.pdf · 2008. 9. 1. · a !-orbital (bonding) a !*-orbital (antibonding)! HÐH!* HÐH 52 kcal/mol E n e r g y Molecular Orbitals: A Brief

Electronegativity

Page 6: Chapter 1: Orbitals And Bonding - Colby 1.pdf · 2008. 9. 1. · a !-orbital (bonding) a !*-orbital (antibonding)! HÐH!* HÐH 52 kcal/mol E n e r g y Molecular Orbitals: A Brief

Electronegativity and Percent Covalency

Page 7: Chapter 1: Orbitals And Bonding - Colby 1.pdf · 2008. 9. 1. · a !-orbital (bonding) a !*-orbital (antibonding)! HÐH!* HÐH 52 kcal/mol E n e r g y Molecular Orbitals: A Brief

Covalent Bonding

H

Covalent bonds: Two atoms share electrons. Both atoms can count the shared electrons toward their octet. This type of bond is formed between two atoms of similar electonegativities (<2.0 electronegativity difference)

H

Sharing one additionalelectron will lead to acompletely filled valence shell

+

Sharing one additionalelectron will lead to acompletely filled valence shell

H H or H H H2or

A line (bond) signifies

2 shared electrons

Both hydrogens have a filled valence shell (shared

electrons count for both atoms)

Page 8: Chapter 1: Orbitals And Bonding - Colby 1.pdf · 2008. 9. 1. · a !-orbital (bonding) a !*-orbital (antibonding)! HÐH!* HÐH 52 kcal/mol E n e r g y Molecular Orbitals: A Brief

Identical atoms will share electrons equally: a nonpolar covalent bond.

Nonidentical atoms will not share electrons equally: a polar covalent bond.

H F or H F HFor

H F

Electronegativity 2.1 Electronegativity 4.0

Fluorine has a higher electronegativity, and will "pull" electrons toward itself causing bond polarization. This creates a dipole along the bond axis.

!+ !–

Polar Covalent Bonding

Page 9: Chapter 1: Orbitals And Bonding - Colby 1.pdf · 2008. 9. 1. · a !-orbital (bonding) a !*-orbital (antibonding)! HÐH!* HÐH 52 kcal/mol E n e r g y Molecular Orbitals: A Brief

Writing Lewis Structures

Lewis Structures: Represent connectivity of a chemical species. Dots reach represent oneelectron; lines represent a shared electron pair; atomic symbols represent the nucleus andall non-valence electrons. Nonbonding electron pairs are frequently omitted!

Page 10: Chapter 1: Orbitals And Bonding - Colby 1.pdf · 2008. 9. 1. · a !-orbital (bonding) a !*-orbital (antibonding)! HÐH!* HÐH 52 kcal/mol E n e r g y Molecular Orbitals: A Brief

Writing Lewis Structures

NH3

ammonia

H

H

HN N

H

H

H or N

H

H

H

Lewis Structures: Represent connectivity of a chemical species. Dots reach represent oneelectron; lines represent a shared electron pair; atomic symbols represent the nucleus andall non-valence electrons. Nonbonding electron pairs are frequently omitted!

Page 11: Chapter 1: Orbitals And Bonding - Colby 1.pdf · 2008. 9. 1. · a !-orbital (bonding) a !*-orbital (antibonding)! HÐH!* HÐH 52 kcal/mol E n e r g y Molecular Orbitals: A Brief

Lewis Structures: Represent connectivity of a chemical species. Dots reach represent oneelectron; lines represent a shared electron pair; atomic symbols represent the nucleus andall non-valence electrons. Nonbonding electron pairs are frequently omitted!

Writing Lewis Structures

H2CCH2

ethylene

C C H

HH

H C

H

HC

H

H

C

H

HC

H

H orC C

H

H H

H

Page 12: Chapter 1: Orbitals And Bonding - Colby 1.pdf · 2008. 9. 1. · a !-orbital (bonding) a !*-orbital (antibonding)! HÐH!* HÐH 52 kcal/mol E n e r g y Molecular Orbitals: A Brief

Lewis Structures: Represent connectivity of a chemical species. Dots reach represent oneelectron; lines represent a shared electron pair; atomic symbols represent the nucleus andall non-valence electrons. Nonbonding electron pairs are frequently omitted!

Writing Lewis Structures

H3CS(O)CH3

dimethylsulfoxide

SC C H

HH

H

HH

O O

C

H

H

HC

H

H

H S

O

C

H

H

H

S C

H

H

H

C

H

H

H

S C

H

H

HO

Formal Charge = Valence e– – Nonbonding e– – 1/2 Bonding e–

Page 13: Chapter 1: Orbitals And Bonding - Colby 1.pdf · 2008. 9. 1. · a !-orbital (bonding) a !*-orbital (antibonding)! HÐH!* HÐH 52 kcal/mol E n e r g y Molecular Orbitals: A Brief

node (nodal plane)

A 1s orbital

A 2p orbital

Atomic Orbitals: A Brief Review

Page 14: Chapter 1: Orbitals And Bonding - Colby 1.pdf · 2008. 9. 1. · a !-orbital (bonding) a !*-orbital (antibonding)! HÐH!* HÐH 52 kcal/mol E n e r g y Molecular Orbitals: A Brief

Atomic Orbitals: A Brief Review

In General, electrons are lower in energy if:

1. They are closer to a positive charge2. They are in an orbital with fewer nodes3. They have a larger orbital space to occupy

Page 15: Chapter 1: Orbitals And Bonding - Colby 1.pdf · 2008. 9. 1. · a !-orbital (bonding) a !*-orbital (antibonding)! HÐH!* HÐH 52 kcal/mol E n e r g y Molecular Orbitals: A Brief

Molecular Orbitals: A Brief Review

H H

H H

H H H Hor

Mixing orbitals with same phase: leads to a bonding interaction that is stabilizing (lower in energy than the atomic orbitals)

Mixing orbitals of opposite phase: leads to an antibonding interaction that is destabilizing (higher in energy than the atomic orbitals)

Page 16: Chapter 1: Orbitals And Bonding - Colby 1.pdf · 2008. 9. 1. · a !-orbital (bonding) a !*-orbital (antibonding)! HÐH!* HÐH 52 kcal/mol E n e r g y Molecular Orbitals: A Brief

Molecular Orbitals: A Brief Reviewnode (nodal plane)

H H

H H

H H

a !-orbital (bonding)

a !*-orbital (antibonding)

! H–H

!* H–H

Page 17: Chapter 1: Orbitals And Bonding - Colby 1.pdf · 2008. 9. 1. · a !-orbital (bonding) a !*-orbital (antibonding)! HÐH!* HÐH 52 kcal/mol E n e r g y Molecular Orbitals: A Brief

Electrons are 52 kcal/mol (per electron) more stable in a σ H–H orbital (larger orbital space)than in a hydrogen 1s orbital.

H H

H H

H H

a !-orbital (bonding)

a !*-orbital (antibonding)

! H–H

!* H–H

52 kcal/mol

Energy

Molecular Orbitals: A Brief Review

Page 18: Chapter 1: Orbitals And Bonding - Colby 1.pdf · 2008. 9. 1. · a !-orbital (bonding) a !*-orbital (antibonding)! HÐH!* HÐH 52 kcal/mol E n e r g y Molecular Orbitals: A Brief

Molecular Orbitals: A Brief Review

The bond dissociation energy (BDE) is the energy required to break a bond homolytically(into a diradical). BDE (H2) = 104 Kcal/mol

H + H H H exothermic by 104 Kcal/mol (!H = –104 Kcal/mol)

H + HH H endothermic by 104 Kcal/mol (!H = +104 Kcal/mol)

bond formation

bond cleavage(BDE)

Page 19: Chapter 1: Orbitals And Bonding - Colby 1.pdf · 2008. 9. 1. · a !-orbital (bonding) a !*-orbital (antibonding)! HÐH!* HÐH 52 kcal/mol E n e r g y Molecular Orbitals: A Brief

Molecular Orbitals: A Brief Review

C C C Cor

Mixing orbitals with same phase: leads to a bonding interaction that is stabilizing (lower in energy than the atomic orbitals)

Mixing orbitals of opposite phase: leads to an antibonding interaction that is destabilizing (higher in energy than the atomic orbitals)

C C

C C

Page 20: Chapter 1: Orbitals And Bonding - Colby 1.pdf · 2008. 9. 1. · a !-orbital (bonding) a !*-orbital (antibonding)! HÐH!* HÐH 52 kcal/mol E n e r g y Molecular Orbitals: A Brief

Molecular Orbitals: A Brief Review

a !-orbital (bonding)

a !*-orbital (antibonding)

! C–C

!* C–C

CC

C C

C C

All mutiple bonds that we will encounter will be !-type

Page 21: Chapter 1: Orbitals And Bonding - Colby 1.pdf · 2008. 9. 1. · a !-orbital (bonding) a !*-orbital (antibonding)! HÐH!* HÐH 52 kcal/mol E n e r g y Molecular Orbitals: A Brief

Curved Arrow Notation

Curved arrows are used to designate the movement or flow of electrons.

H O H+ H O H

H O H+ H O H

X

correct

incorrect

the electrons start here (a filled orbital)

this atom has the empty orbital to

receive the electrons

Page 22: Chapter 1: Orbitals And Bonding - Colby 1.pdf · 2008. 9. 1. · a !-orbital (bonding) a !*-orbital (antibonding)! HÐH!* HÐH 52 kcal/mol E n e r g y Molecular Orbitals: A Brief

Resonance Structures

Resonance Structures allow Lewis Structures to describe multicenter bonding (more than 2atoms sharing electrons). There are also situations where resonance structures are used toshow bond polarization.

O3

ozone

O O O O O O O O O

O O O

A more accurate single representation:

O

O

O O

O

O

O

O

O

+1

–1/2–1/2