Chemistry and Chemical Reactivity 6th Edition 1 John C. Kotz Paul M. Treichel Gabriela C. Weaver CHAPTER 9 Bonding and Molecular Structure: Fundamental Concepts Lectures written by John Kotz ©2006 2006 Brooks/Cole Thomson © Brooks/Cole - Thomson CHEMICAL BONDING Cocaine © 2006 Brooks/Cole - Thomson 2 Chemical Bonding Problems and questions — How is a molecule or polyatomic ion held together? Why are atoms distributed at strange angles? Why are molecules not flat? Can we predict the structure? How is structure related to chemical and physical properties? © 2006 Brooks/Cole - Thomson 3 Structure & Bonding NN triple bond. Molecule is unreactive Phosphorus is a tetrahedron of P atoms. Very reactive! Red phosphorus, a polymer. Used in matches. © 2006 Brooks/Cole - Thomson 4 Forms of Chemical Bonds • There are 2 extreme forms of connecting or bonding atoms: • Ionic—complete transfer of 1 or more electrons from one atom to another • Covalent—some valence electrons shared between atoms • Most bonds are somewhere in between. © 2006 Brooks/Cole - Thomson 5 Ionic Compounds Metal of low IE Nonmetal of high EA © 2006 Brooks/Cole - Thomson 2 Na(s) + Cl2(g) ---> 2 Na+ + 2 Cl- 6 Covalent Bonding The bond arises from the mutual attraction of 2 nuclei for the same electrons. Electron sharing results. (Screen 9.6) HA + HB HA HB Bond is a balance of attractive and repulsive forces. © 2006 Brooks/Cole - Thomson 7 Bond Formation A bond can result from a “head-to-head” overlap of atomic orbitals on neighboring atoms. •• H + Cl •• •• • • H Cl • • •• Overlap of H (1s) and Cl (2p) Note that each atom has a single, unpaired electron. © 2006 Brooks/Cole - Thomson 8 Chemical Bonding: Objectives Objectives are to understand: 1. valence e- distribution in molecules and ions. 2. molecular structures 3. bond properties and their effect on molecular properties. © 2006 Brooks/Cole - Thomson 9 10 Electron Distribution in Molecules • Electron distribution is depicted with Lewis electron dot structures • Valence electrons are distributed as shared or BOND PAIRS and unshared or LONE PAIRS. G. N. Lewis 1875 - 1946 © 2006 Brooks/Cole - Thomson Bond and Lone Pairs • Valence electrons are distributed as shared or BOND PAIRS and unshared or LONE PAIRS. •• H Cl • • •• shared or bond pair lone pair (LP) This is called a LEWIS ELECTRON DOT structure. © 2006 Brooks/Cole - Thomson 11 Valence Electrons Electrons are divided between core and valence electrons B 1s2 2s2 2p1 Core = [He] , valence = 2s2 2p1 Br [Ar] 3d10 4s2 4p5 Core = [Ar] 3d10 , valence = 4s2 4p5 © 2006 Brooks/Cole - Thomson 12 Rules of the Game No. of valence electrons of a main group atom = Group number •For Groups 1A-4A, no. of bond pairs = group number. • For Groups 5A -7A, BP’s = 8 - Grp. No. © 2006 Brooks/Cole - Thomson 13 Rules of the Game •No. of valence electrons of an atom = Group number •For Groups 1A-4A, no. of bond pairs = group number • For Groups 5A -7A, BP’s = 8 - Grp. No. •Except for H (and sometimes atoms of 3rd and higher periods), BP’s + LP’s = 4 This observation is called the OCTET RULE © 2006 Brooks/Cole - Thomson 14 Building a Dot Structure Ammonia, NH3 1. Decide on the central atom; never H. Central atom is atom of lowest affinity for electrons. Therefore, N is central 2. Count valence electrons H = 1 and N = 5 Total = (3 x 1) + 5 = 8 electrons / 4 pairs © 2006 Brooks/Cole - Thomson 15 Building a Dot Structure 3. Form a single bond between the central atom and each surrounding atom 4. Remaining electrons form LONE PAIRS to complete octet as needed. 3 BOND PAIRS and 1 LONE PAIR. H N H H •• H N H Note that N has a share in 4 pairs (8 electrons), while H shares 1 pair. © 2006 Brooks/Cole - Thomson H 16 17 Sulfite ion, SO32Step 1. Central atom = S Step 2. Count valence electrons S= 6 3 x O = 3 x 6 = 18 Negative charge = 2 TOTAL = 26 e- or 13 pairs Step 3. Form bonds O 10 pairs of electrons are now left. © 2006 Brooks/Cole - Thomson O S O Sulfite ion, SO32Remaining pairs become lone pairs, first on outside atoms and then on central atom. •• • • O •• • • O •• • • •• S •• O •• • • Each atom is surrounded by an octet of electrons. © 2006 Brooks/Cole - Thomson 18 Carbon Dioxide, CO2 1. Central atom = _______ 2. Valence electrons = __ or __ pairs 3. Form bonds. This leaves 6 pairs. 4. Place lone pairs on outer atoms. © 2006 Brooks/Cole - Thomson 19 Carbon Dioxide, CO2 4. Place lone pairs on outer atoms. 5. So that C has an octet, we shall form DOUBLE BONDS between C and O. The second bonding pair forms a pi © 2006 Brooks/Cole - Thomson (π) bond. 20 Double and even triple bonds are commonly observed for C, N, P, O, and S 21 H2CO SO3 C2F4 © 2006 Brooks/Cole - Thomson Sulfur Dioxide, SO2 1. Central atom = S 2. Valence electrons = 18 or 9 pairs 3. Form double bond so that S has an octet — but note that there are two ways of doing this. bring in left pair •• • • O •• © 2006 Brooks/Cole - Thomson •• S OR bring in right pair •• O •• • • 22 Sulfur Dioxide, SO2 This leads to the following structures. These equivalent structures are called RESONANCE STRUCTURES. The true electronic structure is a HYBRID of the two. © 2006 Brooks/Cole - Thomson 23 24 Urea, (NH2)2CO © 2006 Brooks/Cole - Thomson 25 Urea, (NH2)2CO 1. Number of valence electrons = 24 e2. Draw sigma bonds. O H N H © 2006 Brooks/Cole - Thomson C N H H 26 Urea, (NH2)2CO 3. Place remaining electron pairs in the molecule. •• • • O •• H N H © 2006 Brooks/Cole - Thomson • • •• C N H H 27 Urea, (NH2)2CO 4. Complete C atom octet with double bond. •• O •• H N H © 2006 Brooks/Cole - Thomson • • •• C N H H Formal Atom Charges • Atoms in molecules often bear a charge (+ or -). • The predominant resonance structure of a molecule is the one with charges as close to 0 as possible. • Formal charge = Group number – 1/2 (no. of bonding electrons) - (no. of LP electrons) © 2006 Brooks/Cole - Thomson 28 Carbon Dioxide, CO2 +6 - ( 1 / 2 ) ( 4 ) - 4 •• • • O •• C +4 - ( 1 / 2 ) ( 8 ) - 0 © 2006 Brooks/Cole - Thomson O = • • 0 = 0 29 30 Calculated Partial Charges in CO2 Yellow = negative & red = positive Relative size = relative charge © 2006 Brooks/Cole - Thomson Thiocyanate Ion, 6 - (1/2)(2) - 6 = -1 5 - (1/2)(6) - 2 = 0 •• • • S C N • • •• 4 - (1/2)(8) - 0 = 0 © 2006 Brooks/Cole - Thomson SCN- 31 32 Thiocyanate Ion, SCN- •• •• • • S C N • • • • •• S C N •• •• • • S C N • • •• Which is the most important resonance form? © 2006 Brooks/Cole - Thomson • • Calculated Partial Charges in SCN- All atoms negative, but most on the S © 2006 Brooks/Cole - Thomson 33 •• • • S •• C N • • Violations of the Octet Rule Usually occurs with B and elements of higher periods. BF3 © 2006 Brooks/Cole - Thomson SF4 34 Boron Trifluoride • Central atom = _____________ • Valence electrons = __________ or electron pairs = __________ • Assemble dot structure The B atom has a share in only 6 pairs of electrons (or 3 pairs). B atom in many molecules is electron deficient. © 2006 Brooks/Cole - Thomson 35 36 Boron Trifluoride, BF3 • • F • • +1 •• • • F •• -1 B • • F • • •• What if we form a B—F double bond to satisfy the B atom octet? © 2006 Brooks/Cole - Thomson 37 Is There a B=F Double Bond in BF3 Calc’d partial charges in BF3 F is negative and B is positive © 2006 Brooks/Cole - Thomson 38 Sulfur Tetrafluoride, SF4 • Central atom = • Valence electrons = ___ or ___ pairs. • Form sigma bonds and distribute electron pairs. 5 pairs around the S atom. A common occurrence outside the 2nd period. © 2006 Brooks/Cole - Thomson MOLECULAR GEOMETRY MOLECULAR GEOMETRY VSEPR • Valence Shell Electron Pair Repulsion theory. • Most important factor in determining geometry is relative repulsion between electron pairs. © 2006 Brooks/Cole - Thomson Molecule adopts the shape that minimizes the electron pair repulsions. 40 41 Electron Pair Geometries Active Figure 9.8 © 2006 Brooks/Cole - Thomson No. of e- Pairs Around Central Atom 2 42 Example F—Be—F Geometry linear 180Þ F 3 planar trigonal B F F 120Þ H 109Þ 4 C H tetrahedral H H © 2006 Brooks/Cole - Thomson 43 No. of e- Pairs Around Central Atom 2 Example F—Be—F Geometry linear 180Þ F 3 planar trigonal B F F 120Þ H 109Þ 4 C H tetrahedral H H © 2006 Brooks/Cole - Thomson No. of e- Pairs Around Central Atom 2 44 Example F—Be—F Geometry linear 180Þ F 3 planar trigonal B F F 120Þ H 109Þ 4 C H tetrahedral H H © 2006 Brooks/Cole - Thomson No. of e- Pairs Around Central Atom 2 45 Example F—Be—F Geometry linear 180Þ F 3 planar trigonal B F F 120Þ H 109Þ 4 C H tetrahedral H H © 2006 Brooks/Cole - Thomson 46 Electron Pair Geometries Active Figure 9.8 © 2006 Brooks/Cole - Thomson 47 Structure Determination by VSEPR •• Ammonia, NH3 H 1. Draw electron dot structure 2. Count BP’s and LP’s = 4 3. The 4 electron pairs are at the corners of a tetrahedron. lone pair of electrons in tetrahedral position N H H H © 2006 Brooks/Cole - Thomson N H H Structure Determination by VSEPR Ammonia, NH3 There are 4 electron pairs at the corners of a tetrahedron. lone pair of electrons in tetrahedral position N H H H The ELECTRON PAIR GEOMETRY is tetrahedral. © 2006 Brooks/Cole - Thomson 48 Structure Determination by VSEPR Ammonia, NH3 The electron pair geometry is tetrahedral. lone pair of electrons in tetrahedral position N H H H The MOLECULAR GEOMETRY — the positions of the atoms — is PYRAMIDAL. © 2006 Brooks/Cole - Thomson 49 50 Structure Determination by VSEPR Water, H2O 1. Draw electron dot structure 2. Count BP’s and LP’s = 4 3. The 4 electron pairs are at the corners of a tetrahedron. The electron pair geometry is TETRAHEDRAL. © 2006 Brooks/Cole - Thomson 51 Structure Determination by VSEPR Water, H2O The electron pair geometry is TETRAHEDRAL The molecular geometry is BENT. © 2006 Brooks/Cole - Thomson Geometries for Four Electron Pairs Figure 9.9 © 2006 Brooks/Cole - Thomson 52 Structure Determination by VSEPR Formaldehyde, CH2O 1. Draw electron dot structure • • H O • • C 2. Count BP’s and LP’s at C 3. There are 3 electron “lumps” around C at the corners of a planar triangle. • • O • • The electron pair geometry is PLANAR TRIGONAL with 120o bond angles. C H © 2006 Brooks/Cole - Thomson H 53 H 54 Structure Determination by VSEPR Formaldehyde, CH2O • • O • • The electron pair geometry is PLANAR TRIGONAL C H H The molecular geometry is also planar trigonal. © 2006 Brooks/Cole - Thomson 55 Structure Determination by VSEPR H Methanol, CH3OH Define H-C-H and C-O-H bond angles H-C-H = 109o C-O-H = 109o In both cases the atom is surrounded by 4 electron pairs. © 2006 Brooks/Cole - Thomson 109˚ •• H—C—O—H •• H 109˚ 56 Structure Determination by VSEPR H Acetonitrile, CH3CN H—C—C 109˚ H 180˚ One C is surrounded by 4 electron “lumps” and the other by 2 “lumps” © 2006 Brooks/Cole - Thomson N •• Define unique bond angles H-C-H = 109o C-C-N = 180o 57 Phenylalanine, an amino acid 1 H C H C C C C H © 2006 Brooks/Cole - Thomson H C H H 2 H O 3 C C C O H N H 4 H 5 H Phenylalanine © 2006 Brooks/Cole - Thomson 58 Structures with Central Atoms with More Than or Less Than 4 Electron Pairs Often occurs with Group 3A elements and with those of 3rd period and higher. © 2006 Brooks/Cole - Thomson 59 60 Boron Compounds •• • • • • Consider boron trifluoride, BF3 F •• • • F The B atom is surrounded by only •• 3 electron pairs. B • • • • F •• Bond angles are 120o Geometry described as planar trigonal © 2006 Brooks/Cole - Thomson 61 Compounds with 5 or 6 Pairs Around the Central Atom 90Þ F F P Trigonal bipyramid F 120Þ F F 5 electron pairs © 2006 Brooks/Cole - Thomson 62 Molecular Geometries for Five Electron Pairs Figure 9.11 All based on trigonal bipyramid © 2006 Brooks/Cole - Thomson 63 Sulfur Tetrafluoride, SF4 •• •F • •• •• •• F •• • Number of valence electrons = 34 • Central atom = S • Dot structure Electron pair geometry --> trigonal bipyramid (because there are 5 pairs around the S) © 2006 Brooks/Cole - Thomson •• S •• F •• •• •• F •• •• 90Þ F •• S F F F 120Þ 64 Sulfur Tetrafluoride, SF4 Lone pair is in the equator because it requires more room. 90Þ F •• S © 2006 Brooks/Cole - Thomson •• S •• F •• •• F F F •• •F • •• •• •• F •• 120Þ •• F •• •• 65 Molecular Geometries for Six Electron Pairs Figure 9.14 © 2006 Brooks/Cole - Thomson All are based on the 8sided octahedron 66 Compounds with 5 or 6 Pairs Around the Central Atom 90Þ F F S F Octahedron F F F 6 electron pairs © 2006 Brooks/Cole - Thomson 90Þ Bond Properties • What is the effect of bonding and structure on molecular properties? Free rotation around C–C single bond © 2006 Brooks/Cole - Thomson No rotation around C=C double bond 67 Bond Order # of bonds between a pair of atoms Double bond Single bond Acrylonitrile Triple bond © 2006 Brooks/Cole - Thomson 68 69 Bond Order Fractional bond orders occur in molecules with resonance structures. Consider NO2•• •• N N •• • ••• •• •• O O• • O O •• •• •• •• The N—O bond order = 1.5 Total # of e - pairs used for a type of bond Bond order = Total # of bonds of that type 3 e - pairs in N— O bonds Bond order = 2 N — O bonds © 2006 Brooks/Cole - Thomson 70 Bond Order Bond order is proportional to two important bond properties: (a) (b) bond strength bond length 414 kJ 123 pm 110 pm © 2006 Brooks/Cole - Thomson 745 kJ Bond Length • Bond length is the distance between the nuclei of two bonded atoms. © 2006 Brooks/Cole - Thomson 71 72 Bond Length Bond length depends on size of bonded atoms. H—F H—Cl Bond distances measured in Angstrom units where 1 A = 10-2 pm. H—I © 2006 Brooks/Cole - Thomson 73 Bond Length Bond length depends on bond order. Bond distances measured in Angstrom units where 1 A = 10-2 pm. © 2006 Brooks/Cole - Thomson Bond Strength • —measured by the energy req’d to break a bond. See Table 9.9 © 2006 Brooks/Cole - Thomson 74 Bond Strength • —measured by the energy req’d to break a bond. See Table 9.10. • BOND STRENGTH (kJ/mol) H—H C—C C=C CC NN 436 346 602 835 945 The GREATER the number of bonds (bond order) the HIGHER the bond strength and the SHORTER the bond. © 2006 Brooks/Cole - Thomson 75 76 © 2006 Brooks/Cole - Thomson 77 Bond Strength Bond Order Length HO—OH O=O •• O ••O •• © 2006 Brooks/Cole - Thomson •• • O• •• Strength 1 142 pm 210 kJ/mol 2 121 498 1.5 128 ? Bond Strength • Measured as the energy req’d to break a bond. See Table 9.10 © 2006 Brooks/Cole - Thomson 78 Bond Strength • Measured as the energy req’d to break a bond. See Table 9.10. • BOND STRENGTH (kJ/mol) H—H C—C C=C CC NN 436 346 602 835 945 The GREATER the number of bonds (bond order) the HIGHER the bond strength and the SHORTER the bond. © 2006 Brooks/Cole - Thomson 79 80 Using Bond Energies Estimate the energy of the reaction H—H(g) + Cl—Cl(g) ----> 2 H—Cl(g) Net energy = ∆Hrxn = = energy required to break bonds - energy evolved when bonds are made H—H = 436 kJ/mol Cl—Cl = 242 kJ/mol H—Cl = 432 kJ/mol © 2006 Brooks/Cole - Thomson 81 © 2006 Brooks/Cole - Thomson 82 Using Bond Energies Estimate the energy of the reaction H—H + Cl—Cl ----> 2 H—Cl H—H = 436 kJ/mol Cl—Cl = 242 kJ/mol H—Cl = 432 kJ/mol Sum of H-H + Cl-Cl bond energies = 436 kJ + 242 kJ = +678 kJ 2 mol H-Cl bond energies = 864 kJ Net = ∆H = +678 kJ - 864 kJ = -186 kJ © 2006 Brooks/Cole - Thomson 83 Using Bond Energies Estimate the energy of the reaction 2 H—O—O—H ----> O=O + 2 H—O—H Is the reaction exo- or endothermic? Which is larger: A) energy req’d to break bonds B) or energy evolved on making bonds? © 2006 Brooks/Cole - Thomson 84 Using Bond Energies 2 H—O—O—H ----> O=O + 2 H—O—H Energy required to break bonds: break 4 mol of O—H bonds = 4 (463 kJ) break 2 mol O—O bonds = 2 (146 kJ) TOTAL ENERGY to break bonds = 2144 kJ TOTAL ENERGY evolved on making O=O bonds and 4 O-H bonds bonds = 2350 kJ © 2006 Brooks/Cole - Thomson 85 Using Bond Energies 2 H—O—O—H ----> O=O + 2 H—O—H Net energy = +2144 kJ - 2350 kJ = - 206 kJ The reaction is exothermic! More energy is evolved on making bonds than is expended in breaking bonds. © 2006 Brooks/Cole - Thomson Molecular Polarity Water Boiling point = 100 ˚C Methane Boiling point = -161 ˚C Why do water and methane differ so much in their boiling points? Why do ionic compounds dissolve in water? © 2006 Brooks/Cole - Thomson 86 Bond Polarity HCl is POLAR because it has a positive end and a negative end. +d -d •• •• H Cl •• Cl has a greater share in bonding electrons than does H. Cl has slight negative charge (-d) and H has slight positive charge (+ d) © 2006 Brooks/Cole - Thomson 87 88 Bond Polarity • Three molecules with polar, covalent bonds. • Each bond has one atom with a slight negative charge (-d) and and another with a slight positive charge (+ d) © 2006 Brooks/Cole - Thomson Bond Polarity This model, calc’d using CAChe software for molecular calculations, shows that H is + (red) and Cl is - (yellow). Calc’d charge is + or - 0.20. © 2006 Brooks/Cole - Thomson 89 +d -d •• •• H Cl •• Bond Polarity Due to the bond polarity, the H—Cl bond energy is GREATER than expected for a “pure” covalent bond. BOND “pure” bond real bond ENERGY 339 kJ/mol calc’d 432 kJ/mol measured Difference = 92 kJ. This difference is proportional to the difference in ELECTRONEGATIVITY, . © 2006 Brooks/Cole - Thomson 90 91 Electronegativity, is a measure of the ability of an atom in a molecule to attract electrons to itself. Concept proposed by Linus Pauling 1901-1994 © 2006 Brooks/Cole - Thomson Linus Pauling, 1901-1994 The only person to receive two unshared Nobel prizes (for Peace and Chemistry). Chemistry areas: bonding, electronegativity, protein structure © 2006 Brooks/Cole - Thomson 92 Electronegativity Figure 9.14 © 2006 Brooks/Cole - Thomson 93 94 Electronegativity, See Figure 9.14 • F has maximum . • Atom with lowest is the center atom in most molecules. • Relative values of determine BOND POLARITY (and point of attack on a molecule). © 2006 Brooks/Cole - Thomson Bond Polarity Which bond is more polar (or DIPOLAR)? O—H O—F 3.5 - 2.1 3.5 - 4.0 1.4 0.5 OH is more polar than OF -d O +d H +d O -d F and polarity is “reversed.” © 2006 Brooks/Cole - Thomson 95 Molecular Polarity Molecules—such as HI and H2O— can be POLAR (or dipolar). They have a DIPOLE MOMENT. The polar HCl molecule will turn to align with an electric field. © 2006 Brooks/Cole - Thomson 96 Molecular Polarity The magnitude of the dipole is given in Debye units. Named for Peter Debye (1884 - 1966). Rec’d 1936 Nobel prize for work on x- ray diffraction and dipole moments. © 2006 Brooks/Cole - Thomson 97 Dipole Moments Why are some molecules polar but others are not? © 2006 Brooks/Cole - Thomson 98 Molecular Polarity Molecules will be polar if a)bonds are polar AND b) the molecule is NOT “symmetric” © 2006 Brooks/Cole - Thomson All above are NOT polar 99 Polar or Nonpolar? Compare CO2 and H2O. Which one is polar? © 2006 Brooks/Cole - Thomson 100 Carbon Dioxide 101 • CO2 is NOT polar even though the CO bonds are polar. • CO2 is symmetrical. Positive C atom is reason CO2 and H2O react to give H2CO3 © 2006 Brooks/Cole - Thomson -0.75 +1.5 -0.75 102 Consequences of H2O Polarity © 2006 Brooks/Cole - Thomson 103 Polar or Nonpolar? • Consider AB3 molecules: BF3, Cl2CO, and NH3. © 2006 Brooks/Cole - Thomson Molecular Polarity, BF3 F B F F B—F bonds in BF3 are polar. But molecule is symmetrical and NOT polar © 2006 Brooks/Cole - Thomson B atom is positive and F atoms are negative. 104 Molecular Polarity, HBF2 H B F F B—F and B—H bonds in HBF2 are polar. But molecule is NOT symmetrical and is polar. © 2006 Brooks/Cole - Thomson B atom is positive but H & F atoms are negative. 105 Is Methane, CH4, Polar? Methane is symmetrical and is NOT polar. © 2006 Brooks/Cole - Thomson 106 Is CH3F Polar? C—F bond is very polar. Molecule is not symmetrical and so is polar. © 2006 Brooks/Cole - Thomson 107 108 CH4 … CCl4 Polar or Not? • Only CH4 and CCl4 are NOT polar. These are the only two molecules that are “symmetrical.” © 2006 Brooks/Cole - Thomson Substituted Ethylene • C—F bonds are MUCH more polar than C—H bonds. • Because both C—F bonds are on same side of molecule, molecule is POLAR. © 2006 Brooks/Cole - Thomson 109 Substituted Ethylene • C—F bonds are MUCH more polar than C—H bonds. • Because both C—F bonds are on opposing ends of molecule, molecule is NOT POLAR. © 2006 Brooks/Cole - Thomson 110