Lewis Structure
Transcription
Lewis Structure
Chapter 9. Chemical Bonding I: The Lewis Model Modified by Dr. Cheng-Yu Lai Chemicals Bonds Forces that hold groups of atoms together and make them function as a unit. Ionic bonds – transfer of electrons Covalent bonds – sharing of electrons • Explain how and why atoms attach together to form molecules • Explain why some combinations of atoms are stable and others are not – Why is water H2O, not HO or H3O? • Can be used to predict the shapes of molecules • Can be used to predict the chemical and physical properties of compounds © 2014 Pearson Education, Inc. Electronegativity Difference and Bond Type Polar-Covalent bonds Electrons are unequally shared Electronegativity difference between .5 and 1.9 Nonpolar-Covalent bonds Electrons are equally shared Electronegativity difference of 0 to 0.4 Inoic bonds Electrons are unequally shared Electronegativity difference above 2.0 Electronegativity The ability of an atom in a molecule to attract shared electrons to itself. Linus Pauling 1901 - 1994 Table of Electronegativities Polar Covalent Bonds A polar covalent bond • occurs between nonmetal atoms. • is an unequal sharing of electrons. • has a moderate electronegativity difference (0.5 to 1.7). Examples: Atoms O-Cl Cl-C O-S Electronegativity Difference 3.5 - 3.0 = 0.5 3.0 - 2.5 = 0.5 3.5 - 2.5 = 1.0 Type of Bond Polar covalent Polar covalent Polar covalent 6 Polar Covalent Bonds: Electronegativity © 2012 Pearson Education, Inc. Chapter 7/7 Polar Covalent Bonds and Dipole Moment: The dipole moment is a measure of polarity in a chemical bond or molecule. It is a drawing made on a Lewis Structure composed of an arrow pointing from a "slightly-positive" molecule to a "slightlynegative" molecule. H --- Cl +------> Partial positive is represented by this symbol © 2012 Pearson Education, Inc. Partial negative is represented By this symbol Ionic Bonds An ionic bond • occurs between metal and nonmetal ions. • is a result of electron transfer. • has a large electronegativity difference (1.8 or more). Examples: Atoms Cl-K N-Na S-Cs Electronegativity Difference 3.0 – 0.8 = 2.2 3.0 – 0.9 = 2.1 2.5 – 0.7 = 1.8 Type of Bond Ionic Ionic Ionic 9 © 2014 Pearson Education, Inc. Example 9.3 Classifying Bonds as Pure Covalent, Polar Covalent, or Ionic Determine whether the bond formed between each pair of atoms is covalent, polar covalent, or ionic. a. Sr and F b. N and Cl c. N and O Solution a. In Figure 9.8, find the electronegativity of Sr (1.0) and of F (4.0). The electronegativity difference (ΔEN) is ΔEN = 4.0 – 1.0 = 3.0. Using Table 9.1, classify this bond as ionic. b. In Figure 9.8, find the electronegativity of N (3.0) and of Cl (3.0). The electronegativity difference (ΔEN) is ΔEN = 3.0 – 3.0 = 0. Using Table 9.1, classify this bond as covalent. c. In Figure 9.8, find the electronegativity of N (3.0) and of O (3.5). The electronegativity difference (ΔEN) is ΔEN = 3.5 – 3.0 = 0.5. Using Table 9.1, classify this bond as polar covalent. FIGURE 9.8 Electronegativities of the Elements Electronegativity generally increases as we move across a row in the periodic table and decreases as we move down a column. Predicting Bond Types 12 Bond Length and Energy It is the energy required to break a bond. It gives us information about the strength of a bonding interaction. Bond length (pm) Bond Energy (kJ/mol) Bond Bond type C - C Single 154 347 C = C Double 134 614 C C Triple 120 839 C - O Single 143 358 C = O Double 123 745 C - N Single 143 305 C = N Double 138 615 C N Triple 116 891 Bonds between elements become shorter and stronger as multiplicity increases. Bond Energy and Enthalpy H Dbondsbroken Dbonds formed Energy required Energy released D = Bond energy per mole of bonds Breaking bonds always requires energy Breaking = endothermic Forming bonds always releases energy Forming = exothermic Example 9.11 Calculating ΔHrxn from Bond Energies Hydrogen gas, a potential fuel, can be made by the reaction of methane gas and steam. Use bond energies to calculate ΔHrxn for this reaction. Solution Begin by rewriting the reaction using the Lewis structures of the molecules involved. Determine which bonds are broken in the reaction and sum the bond energies of these. Chemistry: A Molecular Approach, 3rd Edition Nivaldo J. Tro © 2014 Pearson Education, Inc. Example 9.11 Calculating ΔHrxn from Bond Energies Continued Determine which bonds are formed in the reaction and sum the negatives of their bond energies. Find ΔHrxn by summing the results of the previous two steps. Chemistry: A Molecular Approach, 3rd Edition Nivaldo J. Tro © 2014 Pearson Education, Inc. Ionic Bonding Electrons are transferred Electronegativity differences are generally greater than 1.7 The formation of ionic bonds is always exothermic! Determination of Ionic Character Electronegativity difference is not the final determination of ionic character Compounds are ionic if they conduct electricity in their molten state Coulomb’s Law “The energy of interaction between a pair of ions is proportional to the product of their charges, divided by the distance between their centers” Q1Q2 E (2.31 x 10 J nm) r Q1Q2 E r 19 Example 9.2 Predicting Relative Lattice Energies Arrange these ionic compounds in order of increasing magnitude of lattice energy: CaO, KBr, KCl, SrO. Solution KCl should have lattice energies of smaller magnitude than CaO because of their lower ionic charges (1+, 1– compared to 2+, 2–.) Order of increasing magnitude of lattice energy: KCl < CaO Actual lattice energy values: For More Practice 9.2 Which compound has a lattice energy of higher magnitude, NaCl or MgCl2? Chemistry: A Molecular Approach, 3rd Edition Nivaldo J. Tro © 2014 Pearson Education, Inc. Electron-Dot Structures Electron-Dot Structure (Lewis Structure): Represents an atom’s valence electrons by dots and indicates by the placement of the dots the way the valence electrons are distributed in a molecule. © 2012 Pearson Education, Inc. Chapter 7/21 Lewis Structures Lewis structures show how valence electrons are arranged among atoms in a molecule. Lewis structures Reflect the central idea that stability of a compound relates to noble gas electron configuration. Shared electrons pairs are covalent bonds and can be represented by two dots (:) or by a single line ( - ) From Atomic Valance Shell Electrons To Electron Dot Structures Symbols of atoms with dots to represent the valence-shell electrons only 1 2 13 14 15 16 17 H 18 He: Li Be B C Na Mg Al N O Si P S : F :Ne : :Cl :Ar : The Octet Rule Combinations of elements tend to form so that each atom, by gaining, losing, or sharing electrons, has 8 electrons in its outermost occupied energy level. Monatomic chlorine Diatomic chlorine Octet Rule = atoms tend to gain, lose or share electrons so as to have 8 electrons C would like to N would like to O would like to © 2014 Pearson Education, Inc. Gain 4 electrons Gain 3 electrons Gain 2 electrons The HONC Rule for Octet Rule Hydrogen (and Halogens) form one covalent bond Oxygen (and sulfur) form two covalent bonds One double bond, or two single bonds Nitrogen (and phosphorus) form three covalent bonds One triple bond, or three single bonds, or one double bond and a single bond Carbon (and silicon) form four covalent bonds. Two double bonds, or four single bonds, or a triple and a single, or a double and two singles The Octet Rule: The Diatomic Fluorine Molecule F F 1s 2s 2p 1s 2s 2p F F Each has seven valence electrons A Single Bond is when 2 electrons are shared they are represented by a single line in bond diagrams The Octet Rule: The Diatomic Oxygen Molecule O O 1s 2s 2p 1s 2s 2p O O Each has six valence electrons A Double bond is when 4 electrons are shared they are represented by two lines in bond diagrams The Octet Rule: The Diatomic Nitrogen Molecule N N 1s 2s 2p 1s 2s 2p N N Each has five valence electrons A Triple bond is when 6 electrons are shared they are represented by three lines in bond diagrams LEWIS STRUCTURES More complex Lewis structures can be drawn by following a stepwise method: 1. Count the number of electrons in the structure. 2. Draw a skeleton structure. - most metallic element generally central - halogens and hydrogen are generally terminal - many molecules tend to be symmetrical - in oxyacids, the acid hydrogens are attached to an oxygen 31 LEWIS STRUCTURES More complex Lewis structures can be drawn by following a stepwise method: 3. Connect atoms by bonds (dashes or dots). 4. Distribute electrons to achieve Octet rule. 5. Form multiple bonds if necessary. 32 Example 1: Write Lewis structure for H2O Step 1: Step 2: Step 3: Step 4: H2O = 8 electrons 2 (1) + 6 = 8 H O H Skeleton has Hydrogen structure doublet 4 electrons used Octet rule is satisfied should be 4 electrons remaining symmetrical 33 Example 2: Write Lewis structure for CO2 Step 1: CO2 = 16 electrons 4 + 2(6) = 16 Step 2: Step 3: Step 4: Step 5: O C O Skeleton structure Octet 10 4 electrons rule is NOT used Octet rule is satisfied should be 612electrons electrons satisfied remaining remaining symmetrical 34 Writing Lewis Structures for Polyatomic Ions • the procedure is the same, the only difference is in counting the valence electrons • for polyatomic cations, take away one electron from the total for each positive charge • for polyatomic anions, add one electron to the total for each negative charge Example 3: Write Lewis structure for CO32Step 1: CO32- = 24 electrons 4+3(6)+2 = 24 12 18 06 electrons electrons remaining O Step 5: O C O Step 4: Step 3: Step 2: Octet Octetrule ruleisissatisfied NOT satisfied 36 Example 4: Determine if each of the following Lewis structures are correct or incorrect. If incorrect, rewrite the correct structure. Structure has 14 electrons Only 12 electrons 2(5) + 4(1) = 14 shown 2 4 2 2 2 Structure is incorrect Octets are complete 37 Exceptions to the Octet Rule • H & Li, lose one electron to form cation – Li now has electron configuration like He – H can also share or gain one electron to have configuration like He • Be shares 2 electrons to form two single bonds • B shares 3 electrons to form three single bonds • expanded octets for elements in Period 3 or below – using empty valence d orbitals • some molecules have odd numbers of electrons – NO :NO: Some molecules, such as SF6 and PCl5 have more than 8 electrons around a central atom in their Lewis structure. Draw an electron-dot structure for SF6. Step 1: 6 + 4(7) = 34 valence electrons F F F F S Step 2: F F S Step 3: F F F F F F SF6 and PCl5 can violate the octet rule through the use of empty d orbitals: both S and P can utilize empty d orbitals to hold pairs of electrons that help bond halogen atoms. Electron-Dot Structures of Compounds Containing Elements Below the Second Row Draw an electron-dot structure for ICl3. Step 1: 7 + 3(7) = 28 valence electrons Cl Cl I Step 2: Step 4: Cl Step 3: Cl © 2014 Pearson Education, Inc. Cl Cl Cl Cl I Cl I Worked Example 7.3 Drawing an Electron-Dot Structure Draw an electron-dot structure for the deadly gas hydrogen cyanide, HCN. Strategy First, connect the carbon and nitrogen atoms. The only way the carbon can form four bonds and the nitrogen can form three bonds is if there is a carbon–nitrogen triple bond. Solution Draw an electron-dot structure for carbon dioxide, CH3CN and CH3OH Instructor Resource DVD for Chemistry, 6th Edition John McMurry & Robert C. Fay © 2012 Pearson Education, Inc. Resonance • we can often draw more than one valid Lewis structure for a molecule or ion • in other words, no one Lewis structure can adequately describe the actual structure of the molecule • the actual molecule will have some characteristics of all the valid Lewis structures we can draw Resonance- Same length • Lewis structures often do not accurately represent the electron distribution in a molecule – Lewis structures imply that O3 has a single (147 pm) and double (121 pm) bond, but actual bond length is between, (128 pm) • Real molecule is a hybrid of all possible Lewis structures • Resonance stabilizes the molecule – maximum stabilization comes when resonance forms contribute equally to the hybrid O O + O O O + O Electron-Dot Structures of Compounds Containing Elements Below the Second Row Draw an electron-dot structure for O3. Step 1: 3(6) = 18 valence electrons Step 2: O O O Step 4: O O O Check octet rule Step 3: O © 2014 Pearson Education, Inc. O O Step 5: O O O Resonance in Polyatomic Ions Resonance in a carbonate ion: The bond lengths in the structures are identical, and between those of single and double bonds. Resonance in an acetate ion: © 2014 Pearson Education, Inc. Electron-Dot Structures and Resonance Move a lone pair from this oxygen? Step 4: O O O Or move a lone pair from this oxygen? O O O O O O Resonance Oxygen bond lengths are identical, and intermediate to single and double bonds © 2014 Pearson Education, Inc. Formal Charges # of # of # of 1 Formal – bonding – nonbonding = valence e – Charge 2 in free atom e– e– Calculate the formal charge on each atom in O3. O 1 6 – (4) – 4 = 0 2 O O 1 6 – (6) – 2 = +1 2 © 2012 Pearson Education, Inc. 1 6 – (2) – 6 = -1 2 Chapter 7/47 Example 9.8 Assigning Formal Charges Assign formal charges to each atom in the resonance forms of the cyanate ion (OCN–). Which resonance form is likely to contribute most to the correct structure of OCN–? Solution Calculate the formal charge on each atom by finding the number of valence electrons and subtracting the number of nonbonding electrons and one-half the number of bonding electrons. The sum of all formal charges for each structure is –1, as it should be for a 1– ion. Structures A and B have the least amount of formal charge and are therefore to be preferred over structure C. Structure A is preferable to B because it has the negative formal charge on the more electronegative atom. You therefore expect structure A to make the biggest contribution to the resonance forms of the cyanate ion. Chemistry: A Molecular Approach, 3rd Edition Nivaldo J. Tro © 2014 Pearson Education, Inc. Resonance – Same length Resonance is invoked when more than one valid Lewis structure can be written for a particular molecule. H Benzene, C6H6 H H H H H H H H H H H The actual structure is an average of the resonance structures. The bond lengths in the ring are identical, and between those of single and double bonds. Resonance Bond Length and Bond Energy Resonance bonds are shorter and stronger than single bonds. H H H H H H H H H H H H Resonance bonds are longer and weaker than double bonds. Isomers: Same composition, two different constitutional Lewis structures HCN = atomic compositional structure HCN possesses 10 VE = Lewis compositional structures Two possible Lewis constitutional structures: H-C-N or H-N-C Both need to have 10 VE in their Lewis structure Problem: Try to achieve an acceptable Lewis structure (duet and octet rule followed) for both. 51 HCN = atomic compositional structure HCN: 10 VE = Lewis compositional structures Two possible Lewis constitutional structures H-C-N or H-N-C Any acceptable Lewis structure for HCN needs to show 10 VE Try to achieve an acceptable Lewis structure (duet and octet rules obeyed) for all isomeric structures. Two acceptable Lewis structures. Which is better? H C N H N C 52 Use formal charges to decide on the stability of isomeric Lewis structures H C N H N C VE (atom) 1 4 5 1 5 4 1/2 BE (molecule) -1 -4 -3 -1 -4 -3 UE (molecule) 0 0 -2 0 0 -2 ________________________________________________________ FC on atom 0 0 0 0 +1 -1 H C N H N C Important: the net charge of composition HCN = 0, so the sum of the formal charges in any acceptable Lewis structure must be = 0 also. 53 Which is more stable? 0 0 H C 0 N 0 +1 -1 H N C Rule: For two isomeric acceptable Lewis structures, the one with the least separation of formal charges is more stable. Therefore, H C N stable isomer of the pair. is the more 54 Molecular Structure Molecular geometry is the general shape of a molecule or the arrangement of atoms in three dimensional space. Physical and chemical properties depend on the geometry of a molecule. 55 Chapter 10.Chemical Bonding II: Molecular Shapes, Valence Bond Theory, and Molecular Orbital Theory It is a method for predicting the shape of a molecule from the knowledge of the groups of electrons around a central atom. VSEPR Model The Valence Shell Electron Pair Repulsion model predicts the shapes of molecules and ions by assuming that the valence shell electron pairs are arranged as far from one another as possible to minimize the repulsion between them. 57 Predict Molecular Shape-VSEPR Predict Molecular Shape-VSEPR Only five basic shapes. Predict Molecular Shape-VSEPR Electron Pair Geometry – is determined by the number and n m arrangement of all electron pairs (bonding and lone) around the central AXE shorthand notation: atom. • A - central atom Molecular geometry – • X - terminal atoms is determined by the arrangement of • n – bonding pairs atoms (or bonding electron pairs only) around the central atom. • E - lone pair • m – lone pair electrons AX E AX3E0 AXnEm Type SO32- 1. Central atom S=A 2. Terminal atomes O=X, n=3 3. Calculate Total valence electrons 6+3*6+2 electrons = 26 e 4. bonding pairs n = (total valence electrons)/8 = 26 /8= 3 bonding pairs + 2 remainder electrons 5. Lone pair m = (remainder electrons)/2 =2/2=1 lone pairs 6. SO32- = AX3E1 AXnEm Type NH4+ 1. Central atom N=A 2. Terminal atomes H=X, n=4 3. Calculate Total valence electrons – In VSEPR calculation, for H fullfills octet rule, we only need to add one more electron into 1S orbital. But for our calculation here, we make H=7 pseudo valance electrons 3+4*7-1 electrons = 32 e 4. bonding pairs n = (total valence electrons)/8 = 32/8= 4 bonding pairs + 2 remainder electrons 5. Lone pair m = (remainder electrons)/2 =0/2=0 lone pairs 6. NH4+ = AX4E0 More AXnEm Types – 13 students Example 1: BeCl2 Example 2: BF3 AX2E0 Example 3: SO2 AX3E0 Example 4: CH4 AX4E0 Example 5: NH3 AX4E0 AX3E1 Example 6: H2O AX4E0 AX2E2 AX3E0 AX2E1 More AXnEm Types Example 7: PF5 AX5E0 Example 8: SF4 Example 9: BrF3 AX5E0 AX5E0 AX4E1 AX3E2 Example 10: XeF2 AX5E0 AX2E3 Example 11: SF6 Example 12: IF5 AX6E0 Example 13: XeF4 AX6E0 AX6E0 AX5E1 AX5E1 Molecular Shapes Predicting Molecular Geometries AX2E0 AX3E0 AX2E1 Chapter 9 65 Molecular Shapes Predicting Molecular Geometries NH4+ AX4E0 AX3E1 AX2E2 66 Molecular Shapes Molecules with Expanded Valence Shells AX5E0 PF4- AX4E1 AX3E2 AX2E3 67 Molecular Shapes Molecules with Expanded Valence Shells AX6E0 AX5E1 AX4E2 Chapter 9 68 VSEPR – Valence Shell Electron Pair Repulsion X+E Overall Structure Forms 2 3 4 5 6 Linear AX2 Trigonal Planar AX3, AX2E Tetrahedral AX4, AX3E, AX2E2 Trigonal bipyramidal AX5, AX4E, AX3E2, AX2E3 Octahedral AX6, AX5E, AX4E2 A = central atom X = atoms bonded to A E = nonbonding electron pairs on A More AXnEm Types Example 1: BeCl2 Example 2: BF3 AX2E0 linear Example 3: SO2 AX2E1 angular (bent) Example 4: CH4 AX4E0 tetrahedral Example 5: NH3 AX3E1 triangular pyramidal Example 6: H2O AX2E2 angular (bent) AX3E0 triangular planar Example 10.4 Predicting the Shape of Larger Molecules Predict the geometry about each interior atom in methanol (CH 3OH) and make a sketch of the molecule. Solution Begin by drawing the Lewis structure of CH3OH. CH3OH contains two interior atoms: one carbon atom and one oxygen atom. To determine the shape of methanol, determine the geometry about each interior atom as follows: Using the geometries of each of these, draw a three-dimensional sketch of the molecule as shown here: Chemistry: A Molecular Approach, 3rd Edition Nivaldo J. Tro © 2014 Pearson Education, Inc. Geometry and Polarity of Molecules • For a molecule to be polar it must 1) have polar bonds, symmetrical shape, and different terminal atoms 2) have polar bonds • electronegativity difference - theory • bond dipole moments – measured 3) have an unsymmetrical shape • using vector addition • polarity effects the intermolecular forces of attraction Dipole moment is the measured polarity of a polar covalent bond. It is defined as the magnitude of charge (electrons) on the atoms and the distance between the two bonded atoms. :OCO: O H H polar bonds, and unsymmetrical shape causes molecule to be polar polar bonds, but nonpolar molecule because pulls cancel Cl Cl Cl Cl C C Cl CCl4 m = 0.0 D H H Cl CH2Cl2 m = 2.0 D Adding Dipole Moments 76 Molecular Geometry Dipole Moment and Polarity CO, PCl3, BCl3, GeH4, CF4 • Which compound is the most polar? • Which compounds on the list are non-polar? 77 Orbitals Consistent with Molecular Shape Lewis dot + VSEPR gives the correct shape for a molecule. BUT… How do atomic orbitals (s, p, d …) produce these shapes? Valence bond theory describes a bond as an overlap of atomic (hybrid) orbitals. 78 Orbitals Consistent with Molecular Shapes Atomic orbitals (AOs) can be hybridized (mixed). • Sets of identical hybrid orbitals form identical bonds. • # AOs that hybridize = # hybrids orbitals . s+p sp + sp s+p+p sp2 + sp2 + sp2 etc…. 79 http://www.mhhe.com/physsci/chemistry/essentialchemistry/flash/hybrv18.swf sp Hybrid Orbitals Energy, E AX2E0, Ex: BeCl2, 2p 2p 2p 2p 2p 2p Promotion Two unhybridized p orbitals Orbital hybridization 2s 2s Two sp hybrid orbitals on Be in BeF2 Isolated Be atom sp hybridization occurs around the central atom whenever there are two regions of high e- density. Two equivalent covalent bonds form (180° apart) LINEAR. 80 sp Hybrid Orbitals sp2 Hybrid Orbitals AX3E0, Ex: BF3 The result is THREE equivalent hybrid orbitals, in a VSEPR basic shape of trigonal planar. 82 p. 396 sp3 Hybrid Orbitals AX4E0, Ex: CH4 TETRAHEDRAL 83 sp3 Hybrid Orbitals AX3E1 ( NH3) and AX2E3 ( H2O) 84 Orbitals Consistent with Molecular Shapes Describe bonding in PCl5 using hybrid orbitals. : : P : : : : Cl : Cl: : : Cl Cl : trigonal bipyramidal We need 5 orbitals. : : :Cl : AX5E0 85 sp3d Hybrid Orbitals 3d valence shell hybridization 3p five equal sp3d hybrid orbitals X 3s P atom (ground state) 86 sp3d Hybrid Orbitals 3d sp3d P atom (hybridized state) 87 Orbitals Consistent with Molecular Shapes Describe the bonding in SF6 using hybrid orbitals. : : : :F :F: F: :F : : : : S F: AX6E0 Octahedral We need 6 orbitals. : : : F: : 88 sp3d 2 Hybrid Orbitals 3d X hybridization 3p six equal sp3d2 hybrid orbitals X 3s S atom (ground state) 89 3 2 sp d Hybrid Orbitals 3d sp3d2 S atom (hybridized state) 90 Hybridization Mixed s+p s+p+p s+p+p+p Hybrids (#) Remaining Geometry sp (2) p+p Linear sp2 (3) p Triangular planar sp3 (4) Tetrahedral Mixed Hybrids (#) Remaining Geometry s+p+p+p+d sp3d (5) d+d+d+d Triangular bipyramid s+p+p+p+d+d sp3d2 (6) d+d+d Octahedral 91 Summary - Hybrid Orbitals Hybrid Orbital Geometric Arrangements Number of Orbitals Example sp Linear 2 Be in BeF2 sp2 Trigonal planar 3 B in BF3 sp3 Tetrahedral 4 C in CH4 sp3d Trigonal bipyramidal 5 P in PCl5 sp3d2 Octahedral 6 S in SF6 92 Hybridization and Molecular Geometry Forms Overall Structure Hybridization of “A” AX2 Linear sp AX3, AX2E Trigonal Planar sp2 AX4, AX3E, AX2E2 Tetrahedral sp3 AX5, AX4E, AX3E2, AX2E3 Trigonal bipyramidal sp3d AX6, AX5E, AX4E2 Octahedral sp3d2 A = central atom X = atoms bonded to A E = nonbonding electron pairs on A Practice What are the hybridization and approximate bond angles for each C, N, O in the given molecules? 94 What about… multiple bonding! According to valence bond theory hybrid orbitals include: – single bonds – lone pairs – one of the bonds in a multiple bond. The electrons in the unhybridized atomic orbitals are used to form the additional multiple bonds (from Molecular Orbital Theory.) 95 Multiple Bonding • A s (sigma) bond is an overlap of orbitals (hybrids) along the bond axis. • A p (pi) bond is a overlap of parallel “p” orbitals, creating an electron distribution above and below the bond axis. () 96 Multiple Bonding (unhybridized) 2p 2p Energy sp2 2s 1s C atom (ground state) 1s (3 sp2 hybrid + 1 unhybridized p) 97 Multiple Bonding σ π 98 Sigma and Pi Bonds: Double bonds 1 p bond H H C H H C H C H H C H Ethene 1 s bond Multiple Bonding 100 Sigma and Pi Bonds Sigma (s) bonds exist in the region directly between two bonded atoms. Pi (p) bonds exist in the region above and below a line drawn between two bonded atoms. Single bond 1 sigma bond Double Bond 1 sigma, 1 pi bond Triple Bond 1 sigma, 2 pi bonds The De-Localized Electron Model Pi bonds (p) contribute to the delocalized model of electrons in bonding, and help explain resonance H H H H H H H H H H H H Electron density from p bonds can be distributed symmetrically all around the ring, above and below the plane. Practice Please draw the lewis structure, identify the bond types and point the types hybridization orbitals in C and N. CH3CN → CH3CH2NH2 • Identify the pi and sigma bonds in the given molecules. σ σ σ π σ σ σ π, π 103 Electron Dot Formula for CS2 1. Central atom C=A 2. Terminal atomes S=X, n=2 3. Calculate Total valence electrons 4+2*6 electrons = 16 e 4. bonding pairs n = (total valence electrons)/8 = 16 /8= 2 bonding pairs + 0 remainder electrons 5. Lone pair m = (remainder electrons)/2 =0/2=0 lone pairs 6. CS2 = AX2E0 → Linear → S-C-S 7. Hybridization orbital → sp 8. Bond angle -180 degree 9. Apply octet rule to all atoms 10. Draw resonance structure 11. Calculate formal charge 12. Which lewis structure is more table Electron Dot Formula for NO21. Central atom N=A 2. Terminal atomes O=X, n=2 3. Calculate Total valence electrons 5+2*6+1 charge electrons = 18 e 4. bonding pairs n = (total valence electrons)/8 = 18 /8= 2 bonding pairs + 2 remainder electrons 5. Lone pair m = (remainder electrons)/2 =2/2=1 lone pair 6. NO2- = AX2E1 → BENT 7. Hybridization orbital → sp2 8. Bond angle <120 degree 9. Apply octet rule to all atoms 10. Draw resonance structure 11. Calculate formal charge 12. Which lewis structure is more table Electron Dot Formula for NO2+ , NO3- and O3 Example 10.1 VSEPR Theory and the Basic Shapes Determine the molecular geometry of NO3−. Solution The molecular geometry of NO3− is determined by the number of electron groups around the central atom (N). Begin by drawing a Lewis structure of NO3−. NO3− has 5 + 3(6) + 1 = 24 valence electrons. The Lewis structure has three resonance structures: The hybrid structure is intermediate between these three and has three equivalent bonds. Use any one of the resonance structures to determine the number of electron groups around the central atom. The nitrogen atom has three electron groups. Based on the number of electron groups, determine the geometry that minimizes the repulsions between the groups. Trigonal Planar Chemistry: A Molecular Approach, 3rd Edition Nivaldo J. Tro sp2 © 2014 Pearson Education, Inc. Example 9.9 Drawing Resonance Structures and Assigning Formal Charge for Organic Compounds Draw the Lewis structure (including resonance structures) for nitromethane (CH 3NO2). For each resonance structure, assign formal charges to all atoms that have formal charge. Solution Begin by writing the skeletal structure. For organic compounds, the condensed structural formula (in this case CH3NO2) indicates how the atoms are connected. Calculate the total number of electrons for the Lewis structure by summing the number of valence electrons for each atom. Chemistry: A Molecular Approach, 3rd Edition Nivaldo J. Tro © 2014 Pearson Education, Inc. Example 9.9 Drawing Resonance Structures and Assigning Formal Charge for Organic Compounds Continued Place a dash between each pair of atoms to indicate a bond. Each dash counts for two electrons. (12 of 24 electrons used) Distribute the remaining electrons, first to terminal atoms then to interior atoms. (24 of 24 electrons used) If there are not enough electrons to complete the octets on the interior atoms, form double bonds by moving lone pair electrons from terminal atoms into the bonding region with interior atoms. Chemistry: A Molecular Approach, 3rd Edition Nivaldo J. Tro © 2014 Pearson Education, Inc. Example 9.9 Drawing Resonance Structures and Assigning Formal Charge for Organic Compounds Continued Draw any necessary resonance structures by moving only electron dots. (In this case, you can form a double bond between the nitrogen atom and the other oxygen atom.) Assign formal charges (FC) to each atom. FC = # valence e– – (# nonbonding e– + ½ # bonding e–) Carbon, hydrogen, and the doubly-bonded oxygen atoms have no formal charge. Nitrogen has a +1 formal charge [5 – ½ (8)] and the singly bonded oxygen atom in each resonance structure has a –1 formal charge [6 – (6 + ½ (2))]. Chemistry: A Molecular Approach, 3rd Edition Nivaldo J. Tro © 2014 Pearson Education, Inc. Molecular Orbital Theory For Physics / Chem Major Students Atomic Orbital: A wave function whose square gives the probability of finding an electron within a given region of space in an atom. Molecular Orbital: A wave function whose square gives the probability of finding an electron within a given region of space in a molecule. © 2012 Pearson Education, Inc. Chapter 7/111 The Octet Rule- Valence Bond Theory The Diatomic Oxygen Molecule O 1s 2s 2p 1s 2s 2p O 1 s bond 1 p bond O O Each has six valence electrons A Double bond is when 4 electrons are shared they are represented by two lines in bond diagrams BUT NOT 2 s bonds Molecular Orbital Theory: The Hydrogen Molecule s bonding orbital s* antibonding orbital Bond Order = (# bonding e– – # antibonding e–) 2 © 2012 Pearson Education, Inc. Chapter 7/113 Molecular Orbital Theory: The Hydrogen Molecule 2–0 Bond Order = =1 2 © 2012 Pearson Education, Inc. Chapter 7/114 Molecular Orbital Theory: The Hydrogen Molecule Bond Order: 2–1 1 = 2 2 © 2012 Pearson Education, Inc. 2–2 =0 2 Chapter 7/115 Molecular Orbital Theory: Other Diatomic Molecules © 2012 Pearson Education, Inc. Chapter 7/116 Example 10.10 Molecular Orbital Theory Draw an MO energy diagram and determine the bond order for the N2− ion. Do you expect the bond to be stronger or weaker than in the N2 molecule? Is N2− diamagnetic or paramagnetic? The N2− ion has 11 valence electrons (5 for each nitrogen atom plus 1 for the negative charge). Assign the electrons to the molecular orbitals beginning with the lowest energy orbitals and following Hund’s rule. Calculate the bond order by subtracting the number of electrons in antibonding orbitals from the number in bonding orbitals and dividing the result by two. Chemistry: A Molecular Approach, 3rd Edition Nivaldo J. Tro © 2014 Pearson Education, Inc. Key learning for Ch9/Ch10 Exam Chemistry: A Molecular Approach, 3rd Edition Nivaldo J. Tro © 2014 Pearson Education, Inc.