Chapter Nine Covalent Bonding: Orbitals
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CHAPTER NINE COVALENT BONDING: ORBITALS Questions 7. Bond energy is directly proportional to bond order. Bond length is inversely proportional to bond order. Bond energy and bond length can be measured. 8. The electrons in sigma bonding molecular orbitals are attracted to two nuclei, which is a lower, more stable energy arrangement for the electrons than in separate atoms. In sigma antibonding molecular orbitals, the electrons are mainly outside the space between the nuclei, which is a higher, less stable energy arrangement than in the separated atoms. 9. Paramagnetic: Unpaired electrons are present. Measure the mass of a substance in the presence and absence of a magnetic field. A substance with unpaired electrons will be attracted by the magnetic field, giving an apparent increase in mass in the presence of the field. A greater number of unpaired electrons will give a greater attraction and a greater observed mass increase. 10. Molecules that exhibit resonance have delocalized B bonding. In order to rationalize why the bond lengths are equal in molecules that exhibit resonance, we say that the B electrons are delocalized over the entire surface of the molecule. Exercises The Localized Electron Model and Hybrid Orbitals 11. H2O has 2(1) + 6 = 8 valence electrons. 3 H2O has a tetrahedral arrangement of the electron pairs about the O atom that requires sp hybridization. Two of the four sp3 hybrid orbitals are used to form bonds to the two hydrogen atoms and the other two sp3 hybrid orbitals hold the two lone pairs of oxygen. The two O S H bonds are formed from overlap of the sp3 hybrid orbitals on oxygen with the 1s atomic orbitals on the hydrogen atoms. 212 CHAPTER 9 COVALENT BONDING: ORBITALS 213 12. CCl4 has 4 + 4(7) = 32 valence electrons. 3 CCl4 has a tetrahedral arrangement of the electron pairs about the carbon atom which requires sp hybridization. The four sp3 hybrid orbitals on carbon are used to form the four bonds to chlorine. The chlorine atoms also have a tetrahedral arrangement of electron pairs and we will assume that they are also sp33 hybridized. The C S Cl sigma bonds are all formed from overlap of sp hybrid orbitals on carbon with sp3 hybrid orbitals on each chlorine atom. 13. H2CO has 2(1) + 4 + 6 = 12 valence electrons. The central carbon atom has a trigonal planar arrangement of the electron pairs which requires sp2 hybridization. The two C S H sigma bonds are formed from overlap of the sp2 hybrid orbitals on carbon with the hydrogen 1s atomic orbitals. The double bond between carbon and oxygen consists of one F and one B bond. The oxygen atom, like the carbon atom, also has a trigonal planar arrangement of the electrons which requires sp2 hybridization. The F bond in the double bond is formed from overlap of a carbon sp22 hybrid orbital with an oxygen sp hybrid orbital. The B bond in the double bond is formed from overlap of the unhybridized p atomic orbitals. Carbon and oxygen each have one unhybridized p atomic orbital which are parallel to each other. When two parallel p atomic orbitals overlap, a B bond results. 14. C22H has 2(4) + 2(1) = 10 valence electrons. Each carbon atom in C22H is sp hybridized since each carbon atom is surrounded by two effective pairs of electrons, i.e., each carbon atom has a linear arrangement of electrons. Since each carbon atom is sp hybridized, each carbon atom has two unhybridized p atomic orbitals. The two C S H sigma bonds are formed from overlap of carbon sp hybrid orbitals with hydrogen 1s atomic orbitals. The triple bond is composed of one F bond and two B bonds. The sigma bond between the carbon atoms is formed from overlap of sp hybrid orbitals on each carbon atom. The two B bonds of the triple bond are formed from parallel overlap of the two unhybridized p atomic orbitals on each carbon. 15. See Exercises 8.61 and 8.65 for the Lewis structures. To predict the hybridization, first determine the 214 CHAPTER 9 COVALENT BONDING: ORBITALS arrangement of electron pairs about each central atom using the VSEPR model; then utilize the information in Figure 9.24 of the text to deduce the hybridization required for that arrangement of electron pairs. 3 8.61 a. HCN; C is sp hybridized. b. PH3; P is sp hybridized. 3+3 c. CHCl34; C is sp hybridized. d. NH ; N is sp hybridized. 23 e. H22CO; C is sp hybridized. f. SeF ; Se is sp hybridized. 2 g. CO22; C is sp hybridized. h. O ; Each O atom is sp hybridized. i. HBr; Br is sp3 hybridized. 2-- 8.65 a. The central N atom is sp hybridized in NO23 and NO . In N2O4, both central N atoms are sp2 hybridized. -- - b. In OCN and SCN , the central carbon atoms in each ion are sp hybridized and in N3 , the central N atom is also sp hybridized. 16. See Exercises 8.62 and 8.66 for the Lewis structures. 8.62 a. All the central atoms are sp3 hybridized. b. All the central atoms are sp3 hybridized. c. All the central atoms are sp3 hybridized. 2 8.66 In O32 and in SO , the central atoms are sp hybridized and in SO3, the central sulfur atom is also sp2 hybridized. 17. See Exercise 8.63 for the Lewis structures. 3 PF52: P is dsp hybridized. BeH : Be is sp hybridized. 2-3 BH33: B is sp hybridized. Br : Br is dsp hybridized. 323 SF44: S is dsp hybridized. XeF : Xe is d sp hybridized. 23 23 ClF56: Cl is d sp hybridized. SF : S is d sp hybridized. 33 18. In ClF33, the central Cl atom is dsp hybridized and in BrF , the central Br atom is also dsp hybridized. See Exercise 8.64 for the Lewis structures. 19. The molecules in Exercise 8.81 all have a trigonal planar arrangement of electron pairs about the central atom so all have central atoms with sp2 hybridization. The molecules in Exercise 8.82 all have a tetrahedral arrangement of electron pairs about the central atom so all have central atoms with sp3 hybridization. See Exercises 8.81 and 8.82 for the Lewis structures. 20. The molecules in Exercise 8.83 all have central atoms with dsp3 hybridization since all are based on CHAPTER 9 COVALENT BONDING: ORBITALS 215 the trigonal bipyramid arrangement of electron pairs. The molecules in Exercise 8.84 all have central atoms with d23sp hybridization since all are based on the octahedral arrangement of electron pairs. See Exercises 8.83 and 8.84 for the Lewis structures. 21. a. b. tetrahedral sp33trigonal pyramid sp 109.5° nonpolar < 109.5° polar The angles in NF3 should be slightly less than 109.5° because the lone pair requires more space than the bonding pairs. c. d. V-shaped sp32trigonal planar sp < 109.5° polar 120° nonpolar e. f. linear sp see-saw 180° nonpolar a. 120°, b. 90° dsp3 polar g. h. trigonal bipyramid dsp33linear dsp a. 90°, b. 120° nonpolar 180° nonpolar i. j. 216 CHAPTER 9 COVALENT BONDING: ORBITALS square planar d23sp octahedral d23sp 90° nonpolar 90° nonpolar k. l. square pyramid d23sp T-shaped dsp3 . 90° polar . 90° polar 22. a. V-shaped .120° sp2 Only one resonance form is shown. Resonance does not change the position of the atoms. We can predict the geometry and hybridization from any one of the resonance structures. b. c. plus two other resonance structures trigonal planar 120° tetrahedral 109.5° sp23sp d. Tetrahedral geometry about each S, 109.5°, sp3 hybrids; V-shaped arrangement about peroxide O's, . 109.5°, sp3 hybrids e. trigonal pyramid < 109.5° CHAPTER 9 COVALENT BONDING: ORBITALS 217 sp3 f. g. tetrahedral 109.5° V-shaped < 109.5° sp33sp h. i. see-saw . 90°, . 120° octahedral 90° dsp32d sp3 j. a) . 109.5° b) . 90° c) . 120° See-saw about S atom with one lone pair (dsp3); bent about S atom with two lone pairs (sp3) k. trigonal bipyramid 90° and 120°, dsp3 218 CHAPTER 9 COVALENT BONDING: ORBITALS 23. For the p-orbitals to properly line up to form the B bond, all six atoms are forced into the same plane. If the atoms were not in the same plane, the B bond could not form since the p-orbitals would no longer be parallel to each other. 24. No, the CH2 planes are mutually perpendicular to each other. The center C atom is sp hybridized and is involved in two B-bonds. The p-orbitals used to form each B bond must be perpendicular to each other. This forces the two CH2 planes to be perpendicular. 25. To complete the Lewis structures, just add lone pairs of electrons to satisfy the octet rule for the atoms with fewer than eight electrons. Biacetyl (C462H O ) has 4(4) + 6(1) + 2(6) = 34 valence electrons. All CCO angles are 120°. The six atoms are not in the same plane because of free rotation about the carbon- carbon single (sigma) bonds. There are 11 F and 2 B bonds in biacetyl. Acetoin (C482H O ) has 4(4) + 8(1) + 2(6) = 36 valence electrons. The carbon with the doubly-bonded O is sp2 hybridized. The other 3 C atoms are sp3 hybridized. Angle a = 120°and angle b = 109.5°. There are 13 F and 1 B bonds in acetoin. Note: All single bonds are F bonds, all double bonds are one F and one B bond, and all triple bonds are one F and two B bonds.