Chemical Principles Chapter 13 Bonding: General Concepts © 2017 Cengage Learning ● All Rights Reserved Chapter 13 Bonding: General Concepts 13.1 Types of Chemical Bonds 13.2 Electronegativity 13.3 Bond Polarity and Dipole Moments 13.4 Ions: Electron Configurations and Sizes 13.5 Formation of Binary Ionic Compounds 13.6 Partial Ionic Character of Covalent Bonds 13.7 The Covalent Chemical Bond: A Model 13.8 Covalent Bond Energies and Chemical Reactions 2 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning Chapter 13 Bonding: General Concepts 13.9 The Localized Electron Bonding Model 13.10 Lewis Structures 13.11 Resonance 13.12 Exceptions to the Octet Rule 13.13 Molecular Structure:The VSEPR Model 3 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning Introduction Bonding and structure play a central role in determining the course of all chemical reactions, Graphite is a soft, slippery material used as a lubricant in locks. Diamond is one of the hardest materials known, valuable both as a gemstone and in industrial cutting tools. Both composed solely of carbon atoms, have such different properties? Silicon and carbon are next to each other in Group 4A on the periodic table. SiO2 is the empirical formula of silica, which is found in sand and quartz, whereas carbon dioxide is a gas, a product of respiration. Why are they so different? The answer lies in the bonding within these substances. 4 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning Introduction Quartz grows in beautiful, regular crystals. Two forms of carbon: graphite and diamond. 5 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.1 Types of Chemical Bonds The bonding forces that produce this great thermal stability result from the electrostatic attractions of the closely packed, oppositely charged ions. This is an example of ionic bonding. an ionic compound results when a metal reacts with a nonmetal. Coulomb’s law: in solid sodium chloride, where the distance between the centers of the Na+ and Cl- ions is 276 picometers (0.276 nm), the ionic energy per pair of ions is 6 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.1 Types of Chemical Bonds The negative sign indicates an attractive force. That is, the ion pair has lower energy than the separated ions. For a mole of pairs of Na+ and Cl- ions, the energy of interaction is Note that this energy refers to a mole of Na+ and Cl- ion pairs in the gas phase where a given pair is far from any other pair. In solid sodium chloride, which contains a large array of closely packed Na+ and Cl- ions, where a given ion is close to many oppositely charged ions, the energy associated with ionic bonding is much greater than 504 kJ/mol because of the larger numbers of interacting ions. 7 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.1 Types of Chemical Bonds Figure 13.1 (a) The interaction of two hydrogen atoms. (b) Energy profile as a function of the distance between the nuclei of the hydrogen atoms. As the atoms approach each other, the energy decreases until the distance reaches 0.074 nm (0.74 A) and then begins to increase again because of repulsions. 8 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.1 Types of Chemical Bonds The distance at which the energy is minimum is called the equilibrium internuclear distance or the bond length. 1.The energy terms involved are the potential energy that results from the attractions and repulsions among the charged particles and the kinetic energy caused by the motions of the electrons. 2. The zero reference point for energy is defined for the atoms at infinite separation. 3. At very short distances the energy rises steeply because of the great importance of the internuclear repulsive forces at these distances. 4. The bond length is the distance at which the system has minimum energy, and the bond energy corresponds to the depth of the “well” at9this distance. Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.1 Types of Chemical Bonds The type of bonding we encounter in the hydrogen molecule and in many other molecules in which electrons are shared by nuclei is called covalent bonding. In covalent bonding two identical atoms share electrons equally. The bonding results from the mutual attraction of the two nuclei for the shared electrons. Between these extremes lie intermediate cases in which the atoms are not so different that electrons are completely transferred but are different enough so that unequal sharing results. These are called polar covalent bonds. An example of this type of bond occurs in the hydrogen fluoride (HF) molecule. 10 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.1 Types of Chemical Bonds Figure 13.2 The effect of an electric field on hydrogen fluoride molecules. (a) When no electric field is present, the molecules are randomly oriented. (b) When the field is turned on, the molecules tend to line up with their negative ends toward the positive pole and their positive ends toward the negative pole. 11 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.2 Electronegativity electronegativity: the ability of an atom in a molecule to attract shared electrons to itself. 為合適幾何平均,而不是 算術平均? Pauling then obtained absolute electronegativity values for the elements by assigning a value of 4.0 to fluorine (the element with the highest electronegativity). 12 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.2 Electronegativity Figure 13.3 The Pauling electronegativity values. Electronegativity generally increases across a period and decreases down a group. 13 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.2 Electronegativity 14 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.2 Electronegativity 15 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.3 Bond Polarity and Dipole Moments 16 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.3 Bond Polarity and Dipole Moments Solving for d gives 6.66 x 10-20 C. Since the charge on an electron is 1.60 x 10-19 C, each atom in HF has a fractional charge of From this argument we might say that HF has 42% ionic bonding. 17 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.3 Bond Polarity and Dipole Moments 18 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.3 Bond Polarity and Dipole Moments Figure 13.5 (a)The charge distribution in the water molecule. (b) The water molecule in an electric field. (c) The electrostatic potential diagram of the water molecule. 19 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.3 Bond Polarity and Dipole Moments Figure 13.6 (a)The structure and charge distribution of the ammonia molecule. The polarity of the N-H bonds occurs because nitrogen has a greater electronegativity than hydrogen. (b) The dipole moment of the ammonia molecule oriented in an electric field. (c) The electrostatic potential diagram for ammonia. 20 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.3 Bond Polarity and Dipole Moments Figure 13.7 (a) The carbon dioxide molecule. (b) The opposed bond polarities cancel out, and the carbon dioxide molecule has no dipole moment. (c) The electrostatic potential diagram for carbon dioxide. 21 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.3 Bond Polarity and Dipole Moments 22 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning Example 13.2 Bond Polarity and Dipole Moment For each of the following molecules, show the direction of the bond polarities. Also indicate which ones have dipole moments: HCl, Cl2, SO3 (planar), CH4 (tetrahedral), and H2S (V-shaped). 23 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning Example 13.2 Solution The HCl molecule: Because the electronegativity of chlorine (3.2) is greater than that of hydrogen (2.2), the chlorine is partially negative, and the hydrogen is partially positive. The Cl2 molecule: Because the two chlorine atoms share the electrons equally, no bond polarity occurs. The Cl2 molecule has no dipole moment. 24 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning Example 13.2 Solution The SO3 molecule However, the bond polarities cancel, and the molecule has no dipole moment. The CH4 molecule Since the bond polarities cancel, the molecule has no dipole moment. The H2S molecule: 25 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.4 Ions: Electron Configurations and Sizes (1) When two nonmetals react to form a covalent bond, they share electrons in a way that both nonmetals attain noble gas electron configurations. 完成八隅體 (2) When a nonmetal and a representative group metal react to form a binary ionic compound, the ions form so that the valence electron configuration of the nonmetal is completed and the valence orbitals of the metal are emptied. In this way both ions achieve noble gas electron configurations. Predicting Formulas of Ionic Compounds MgO(s), which contains Mg2+ and O2- ions , is very stable, but the isolated gas-phase ion pair Mg2+ … O2- ions is not energetically favorable in comparison with the separate neutral gaseous atoms. 26 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.4 Ions: Electron Configurations and Sizes (a) In the solid state of an ionic compound, the ions are relatively close together, and many ions are simultaneously interacting: (b) (a) (b) In the gas phase of an ionic substance, the ions would be relatively far apart and would not contain large groups of ions: 27 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.4 Ions: Electron Configurations and Sizes The electronegativity of oxygen (3.4) is much greater than that of calcium (1.0). Because of this large difference, electrons will be transferred from calcium to oxygen to form oxygen anions and calcium cations in the compound. Note that oxygen needs two electrons to fill its 2s and 2p valence orbitals and to achieve the configuration of neon (1s22s22p6). And by losing two electrons, calcium can achieve the configuration of argon. Two electrons are therefore transferred: 28 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.4 Ions: Electron Configurations and Sizes Because aluminum has the configuration [Ne]3s23p1, it must lose three electrons to form the Al3+ ion and thus achieve the neon configuration. Since the compound must be electrically neutral, there must be three O-2 ions for every two Al3+ ions, and the compound has the empirical formula Al2O3. 29 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.4 Ions: Electron Configurations and Sizes Figure 13.8 Size generally increases down a group. In a series of isoelectronic ions, size decreases with increasing atomic number. 30 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.5 Formation of Binary Ionic Compounds lattice energy—the change in energy that takes place when separated gaseous ions are packed together to form an ionic solid: 31 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.5 Formation of Binary Ionic Compounds 32 Figure 13.9 The energy changes involved in the formation of solid lithium fluoride from its elements Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.5 Formation of Binary Ionic Compounds Figure 13.10 The structure of lithium fluoride. Represented by a balland-stick model. Note that each Li+ ion is Surrounded by six F- ions, and each F- ion is surrounded by six Li+ ions. (b) Represented with the ions shown as spheres. The structure is determined by packing the spherical ions in a way that both maximizes the ionic attractions and minimizes the ionic repulsions. 33 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.5 Formation of Binary Ionic Compounds Lattice Energy Calculations The energy released when the gaseous Mg2+ and O2- ions combine to form solid MgO is much greater (more than four times greater) than that released when the gaseous Na+ and F- ions combine to form solid NaF. 34 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.5 Formation of Binary Ionic Compounds 35 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.5 Formation of Binary Ionic Compounds Ionization energy: The energy required to remove two electrons from the magnesium atom (735 kJ/mol for the first and 1445 kJ/mol for the second, yielding a total of 2180 kJ/mol) is much greater than the energy required to remove an electron from a sodium atom (495 kJ/mol). Electron affinity: Energy (737 kJ/mol) is required to add two electrons to the oxygen atom in the gas phase. Addition of the first electron is exothermic (2141 kJ/mol), but addition of the second electron is quite endothermic (878 kJ/mol). This latter energy must be obtained indirectly, since the O2-(g) is not stable. The answer lies in the lattice energy. Note that the lattice energy for combining gaseous Mg2+ and O2- ions to form MgO(s) is 3000 kJ/mol more negative than that for combining gaseous Na+ and F- ions to form NaF(s). 36 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.6 Partial Ionic Character of Covalent Bonds Partial Ionic Character of Covalent Bonds (a) (b) (c) Figure 13.12 The three possible types of bonds: a covalent bond formed between identical F atoms; the polar covalent bond of HF, with both ionic and covalent components; and (c) an ionic bond with no electron sharing. 37 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.6 Partial Ionic Character of Covalent Bonds Figure 13.13 The relationship between the ionic character of a covalent bond and the electronegativity difference of the bonded atoms. The compounds normally considered to be ionic in the solid phase are shown in red. 38 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.7 The Covalent Chemical Bond: A Model Chemical bonds can be viewed as forces that cause a group of atoms to behave as a unit. Example 1 : CH4 about 1652 kJ of energy is required to break a mole of methane (CH4) molecules into separate C and H atoms. The energy of stabilization of CH4 is divided equally among the four bonds to give an average C-H bond energy per mole of C-H bonds: 39 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.7 The Covalent Chemical Bond: A Model Example 2 : CH3Cl Experiments have shown that about 1578 kJ of energy is required to break down 1 mole of gaseous CH3Cl molecules into gaseous carbon, chlorine, and hydrogen atoms. The reverse process can be represented as 40 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.8 Covalent Bond Energies and Chemical Reactions Example : CH4 This example shows that the C-H bond is somewhat sensitive to its environment. We use the average of these individual bond dissociation energies even though this quantity only approximates the energy associated with a C-H bond in a particular molecule. 41 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.8 Covalent Bond Energies and Chemical Reactions 42 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.8 Covalent Bond Energies and Chemical Reactions Bond Energy and Enthalpy 43 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.8 Covalent Bond Energies and Chemical Reactions 44 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.9 The Localized Electron Bonding Model The localized electron (LE) model assumes that a molecule is composed of atoms that are bound together by using atomic orbitals to 分子軌域 share electron pairs. The LE model has three parts: 1. Description of the valence electron arrangement in the molecule using Lewis structures (will be discussed in the next section). 2. Prediction of the geometry of the molecule, using the valence shell electron pair repulsion (VSEPR) model (will be discussed in Section 13.13). 3. Description of the types of atomic orbitals used by the atoms to share electrons or hold lone pairs (will be discussed in Chapter 14). 45 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.10 Lewis Structures 46 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.10 Lewis Structures The Lewis structure of a molecule represents the arrangement of valence electrons among the atoms in the molecule. Lewis structures show only valence the electrons. Using dots to represent electrons No dots are shown in the K+ ion since it has no valence electrons. The Br- ion is shown with eight electrons since it has a filled valence shell. 47 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.10 Lewis Structures By sharing electrons, each hydrogen in H2 has two electrons. This gives each hydrogen a filled valence shell. The shared pair of electrons is called a bonding pair. Each fluorine atom also has three pairs of electrons not involved in bonding. These are the lone pairs. 48 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.10 Lewis Structures Neon does not form bonds since it already has an octet of valence electrons (it is a noble gas). 49 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.10 Lewis Structures Example 1: H2O Step 1: We sum the valence electrons for H2O as shown: Step 2: Using one pair of electrons per bond, we draw in the two O-H single bonds: Note that a line instead of a pair of dots is used to indicate each pair of bonding electrons. Step 3: We distribute the remaining electrons around the atoms to achieve a noble gas electron configuration for each atom. 50 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.10 Lewis Structures Example 2: CO2 1. The total number of electrons. There are 16 valence electrons in this structure, which is the correct number. 2. The octet rule for each atom. Each oxygen has eight electrons, but the carbon has only four. This cannot be the correct Lewis structure. Now each atom is surrounded by 8 electrons, and the total number of electrons is 16, as required. Thus the correct Lewis structure for carbon dioxide has two double bonds. 51 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.10 Lewis Structures Example 3: CN- After drawing a single bond (C-N), we distribute the remaining electrons to achieve a noble gas configuration for each atom. Eight electrons remain to be distributed. This structure is incorrect because C and N have only six electrons each instead of eight. both carbon and nitrogen have eight electrons Correct!! 52 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.10 Lewis Structures 53 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.11 Resonance Resonance is invoked when more than one valid Lewis structure can be written for a particular molecule. The nitrate ion does not have one double and two single bonds—it has three equivalent bonds. The nitrate ion does not exist as any of the three extreme forms as indicated by the Lewis structures. 54 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning Example 13.7 Resonance Structures Describe the electron arrangement in the nitrite anion (NO2-) using the LE model. 55 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning Example 13.7 Solution 5 + 2(6) +1 = 18 valence electrons. The remaining 14 electrons (18 - 4) can be distributed to produce these structures: The electronic structure of the molecule is not correctly represented by either resonance structure but by the average of the two. 56 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.12 Exceptions to the Octet Rule Note that in this structure boron has only six electrons around it. The octet rule for boron since fluorine is so much more electronegative than boron, this structure seems questionable. 57 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.12 Exceptions to the Octet Rule The sum of the valence electrons for SF6 is 6 + 6(7) = 48 electrons The empty 3d orbitals on sulfur can be used to accommodate extra electrons: The sulfur atom can have 12 electrons around it by using the 3s and 3p orbitals to hold 8 electrons, with the extra 4 electrons in the formerly empty 3d orbitals. 58 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.12 Exceptions to the Octet Rule Lewis Structures and the Octet Rule 1. The second-row elements C, N, O, and F should always be assumed to obey the octet rule. 2. The second-row elements B and Be often have fewer than eight electrons around them in their compounds. These electrondeficient compounds are very reactive.(沒有超八,因為不夠八個) 3. The second-row elements never exceed the octet rule, since their valence orbitals (2s and 2p) can accommodate only eight electrons.(第二行不可能有超八) 4. Third-row and heavier elements often satisfy the octet rule but are assumed in the simplest model to exceed the octet rule by using their empty valence d orbitals.(有可能有超八) 59 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.12 Exceptions to the Octet Rule Lewis Structures and the Octet Rule 5. When writing the Lewis structure for a molecule, first draw single bonds between all bonded atoms, and then satisfy the octet rule for all the atoms. If electrons remain after the octet rule has been satisfied, place them on the elements having available d orbitals (elements in the third period or beyond). 60 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning Example 13.9 Lewis Structures for Molecules That Violate the Octet Rule II Write the Lewis structure for each molecule or ion. a. ClF3 61 b. XeO3 c. RnCl2 d. BeCl2 e. ICl4 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning Example 13.9 Solution a. ClF3 b. XeO3 e. ICl4 c. RnCl2 d. BeCl2 62 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.12 Exceptions to the Octet Rule Hyperconjugation Hyperconjugation involves binding n atoms to a central atom using fewer than n electron pairs around the central atom. For the cases of SF6 and PF5, There are two extreme points of view: (1) (1) The S and P atoms in these molecules exceed the octet rule, placing the extra electrons in 3d orbitals, (2) the S and P atoms in these molecules obey the octet rule, resorting to hyperconjugation. 63 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.12 Exceptions to the Octet Rule Note that in each of these resonance structures, the sulfur atom always has an octet of electrons around it. The “true” structure is a composite of these equivalent resonance structures. The overall bonding is described as a combination of covalent and ionic contributions. The covalent contribution to the bonding involves four electron pairs “spread out” over the six S–F bonds. 64 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.12 Exceptions to the Octet Rule The ionic contribution to the bonding Note that for each Lewis structure two of the fluorines have 21 formal charges and the sulfur has a 12 formal charge, 65 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.12 Exceptions to the Octet Rule Formal Charge How do we decide which of the many possible Lewis structures best describes the actual bonding in molecules or polyatomic ions often have many nonequivalent Lewis structures? One method involves estimating the charge on each atom in the various possible Lewis structures and using these charges to select the most appropriate structure(s). 66 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.12 Exceptions to the Octet Rule 1. Lone pair electrons belong entirely to the atom in question. 2. Shared electrons are divided equally between the two sharing atoms. two of the possible Lewis structures for the sulfate ion, which has 32 valence electrons. One possible Lewis structure: 67 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.12 Exceptions to the Octet Rule 68 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.12 Exceptions to the Octet Rule 69 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.12 Exceptions to the Octet Rule Second possible Lewis structure: 70 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.12 Exceptions to the Octet Rule Second possible Lewis structure: 71 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.12 Exceptions to the Octet Rule electrons will naturally flow from negatively charged parts of the molecule to positively charged parts, thus minimizing the charges on the atoms. Note that these structures exceed the octet rule, thus requiring the sulfur to use its 3d orbitals to hold electrons. 72 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.12 Exceptions to the Octet Rule The other school of thought argues for the primacy of the octet rule and against the use of 3d orbitals. This position favors the single-bonded resonance structure. Which point of view is correct? One pertinent fact is that the sulfur–oxygen bonds in SO42- are known by experiment to be shorter than expected for normal single bonds. 73 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.12 Exceptions to the Octet Rule This would seem to favor the resonance structures with double bonds. However, one can also argue that the high formal charges on the atoms in the single-bonded structure cause ionic attractions that pull the atoms closer together. Thus both schools of thought can adequately explain the short sulfur–oxygen bond lengths. 74 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.12 Exceptions to the Octet Rule Rules Governing Formal Charge 1. To calculate the formal charge on an atom: • Take the sum of the lone pair electrons and one-half of the shared electrons. • Subtract the number of assigned electrons from the number of valence electrons on the free, neutral atom to obtain the formal charge. 2. The sum of the formal charges of all atoms in a given molecule or ion must equal the overall charge on that species. 3. If nonequivalent Lewis structures exist for a species containing second-row atoms, those with formal charges closest to zero and with any negative formal charges on the most electronegative atoms are considered to best describe the bonding in the molecule or ion. 75 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning Example 13.10 Formal Charges Give possible Lewis structures for XeO3, an explosive compound of xenon. Determine the formal charges of each atom in the various Lewis structures. 76 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning Example 13.10 Solution For XeO3 (26 valence electrons), the following possible Lewis structures (formal charges are indicated in parentheses): 77 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.12 Exceptions to the Octet Rule The concept of formal charge is most often used to evaluate the importance of various Lewis structures for molecules that exhibit resonance. However, formal charge arguments also can be helpful in predicting which, among a given group of atoms, is the central atom in a simple molecule. Example: CO2 why is carbon dioxide O-C-O rather than C-O-O? all atoms have formal charges of 0. 78 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.12 Exceptions to the Octet Rule all the Lewis structures give unreasonable formal charges. Consider the following possibilities, where the formal charges are listed below each atom. None of these Lewis structures (with their resulting formal charges) agrees with our observation that oxygen has a significantly greater electronegativity than carbon. It doesn’t make sense that a negatively charged carbon atom next to a positively charged oxygen atom. 79 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.13 Molecular Structure: The VSEPR Model the valence shell electron-pair repulsion (VSEPR) model: the structure around a given atom is determined principally by minimizing electron-pair repulsions. (1) BeCl2, which has the Lewis structure the best arrangement places the pairs on opposite sides of the beryllium atom at 180 degrees: 80 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.13 Molecular Structure: The VSEPR Model (2) BF3, which has the Lewis structure To minimize the repulsions, the electron pairs are farthest apart at angles of 120 degrees: trigonal planar 81 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.13 Molecular Structure: The VSEPR Model (3) CH4 the methane molecule, which has the Lewis structure ? The carbon atom and the electron pairs are centered in the plane of the paper, and the angles between the pairs are all 90 degrees. tetrahedral : angles of 109.5 degrees 82 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.13 Molecular Structure: The VSEPR Model Example: ammonia, NH3 Draw the Lewis structure. 83 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.13 Molecular Structure: The VSEPR Model Count the pairs of electrons, and arrange them to minimize repulsions. The NH3 molecule has four pairs of electrons: three bonding pairs and one nonbonding pair. From the discussion of the methane molecule, we know that the best arrangement of four electron pairs is a tetrahedral array, as shown below 84 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.13 Molecular Structure: The VSEPR Model Determine the positions of the atoms. Name the molecular structure. the name of the molecular structure is always based on the positions of the atoms The molecular structure of ammonia is a trigonal pyramid (one triangular side is different from the other three), rather than a85tetrahedron. Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.13 Molecular Structure: The VSEPR Model Determine the positions of the atoms. Name the molecular structure. the name of the molecular structure is always based on the positions of the atoms The molecular structure of ammonia is a trigonal pyramid (one triangular side is different from the other three), rather than a tetrahedron. 86 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning Example 13.11 Prediction of Molecular Structure I Describe the molecular structure of the water molecule. 87 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning Example 13.11 Solution The Lewis structure for water is There are four pairs of electrons: two bonding pairs and two nonbonding pairs. To minimize repulsions, these are best arranged in a tetrahedral array, The atoms in the H2O molecule form a V-shape 88 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.13 Molecular Structure: The VSEPR Model 89 Figure 13.18 The bond angles in the CH4, NH3, and H2O molecules. Note that the bond angle between bonding pairs decreases as the number of lone pairs increases. Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.13 Molecular Structure: The VSEPR Model Lone pairs require more room than bonding pairs and tend to compress the angles between the bonding pairs. Figure 13.19 (a) In a bonding pair of electrons, the electrons are shared by two nuclei. (b) In a lone pair, since both electrons must be close to a single nucleus, they tend to take up more of the space around that atom. 90 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.13 Molecular Structure: The VSEPR Model 91 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.13 Molecular Structure: The VSEPR Model 92 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.13 Molecular Structure: The VSEPR Model 93 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.13 Molecular Structure: The VSEPR Model 94 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.13 Molecular Structure: The VSEPR Model 95 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.13 Molecular Structure: The VSEPR Model The VSEPR Model and Multiple Bonds Example: three resonance structures of NO3- This planar structure is the one expected for three pairs of electrons around a central atom. For the VSEPR model, multiple bonds count as one effective electron pair. 96 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.13 Molecular Structure: The VSEPR Model Molecules Containing No Single Central Atom Example: methanol (a) (b) (c) Figure 13.22 The molecular structure of methanol. (a) The arrangement of electron pairs and atoms around the carbon atom. (b) The arrangement of bonding and lone pairs around the oxygen atom. (c) The molecular structure. 97 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning 13.13 Molecular Structure: The VSEPR Model The VSEPR Model—How Well Does It Work? The VSEPR model is very simple with only a few rules to remember, but it fails in a few instances. Example: phosphine (PH) has a Lewis structure analogous to NH3. However, the bond angles of phosphine are actually 94 degrees, NOT about 107 degrees like the case of NH3. 98 Zumdahl/Decoste | Chemical Principles, 8e, © 2017 Cengage Learning