Molecular Structure Chemistry 120 Both atoms and molecules are quantum systems We need a method of describing molecules in a quantum mechanical way so that we can predict structure and properties The method we use is the Linear Combination of Atomic Orbitals where we can use the properties of atoms to predict the properties of molecules. Molecular Structure Chemistry 120 We combine atoms to form molecules by considering the phase of the atomic orbitals we are using We represent the phase via the shading we give the orbital. The phase represents the sign of the wavefunction Molecular Structure Chemistry 120 We combine atoms to form molecules by considering the phase of the atomic orbitals we are using The phase represents the sign of the wavefunction We represent the phase via the shading we give the orbital. Molecular Structure Chemistry 120 For an s orbital, the orbital has the same phase everywhere: 1s orbital, n = 1, l = 0 For a p orbital, there is a change in the sign of the wavefunction across the nodal plane: 2p orbital, n = 2, l = 1, ml = -1 Molecular Structure Chemistry 120 Consider two H atoms (1s1) coming together from infinite separation. There are two possibilities: 1 The wavefunctions are in phase 2 The wavefunctions are not in phase Molecular Structure Chemistry 120 Case 1: The wavefunctions are in phase The atoms move together and the electron waves overlap with the same phase, producing constructive interference and a build up of electron density between the nuclei The energy of the system drops and we form a bond Chemistry 120 r=8Å r=3Å r=7Å r=2Å r=6Å r=1Å r=5Å r = 0.75 Å Molecular Structure Chemistry 120 Case 2: The wavefunctions are out of phase The atoms move together and the electron waves have opposite phase. The electron waves overlap producing destructive interference and electron density between the nuclei is reduced. The energy of the system rises and we have an antibonding situation Chemistry 120 r=8Å r=3Å r=7Å r=2Å r=5Å r=1Å r=4Å r = 0.75 Å Two atoms with wavefunctions in phase overlap with constructive interference. Electron density increases between the nuclei and the overall energy decreases. Chemistry 120 When the wavefunctions are of opposite phase, the electron density between the nuclei decreases due to destructive interference. The energy of the system rises and we have an antibonding situation Bonding Antibonding Chemistry 120 Bonding Antibonding Organic Structure and Bonding Review of diatomic bonding There are two types of bond that are important in this part of the Periodic Table s bonds and p bonds Chemistry 120 B 5 C 6 N 7 O 8 F 9 Si 14 P 15 S 16 Cl 17 Se 34 Br 35 I 53 Organic Structure and Bonding Chemistry 120 s bonds and p bonds s bonds are in general stronger than p bonds and can be formed from either s or p orbitals: Organic Structure and Bonding Chemistry 120 s bonds and p bonds s bonds have no nodal plane that contains the two nuclei. The s* antibonding orbital has a nodal plane between the two nuclei Organic Structure and Bonding s bonds and p bonds p bonds have a nodal plane that contains both nuclei, The p* antibonding orbital also has a plane between the nuclei Chemistry 120 Organic Structure and Bonding Chemistry 120 s bonds and p bonds These s, p bonding orbitals and s*, p* antibonding orbitals are the orbitals that are used to bind all simple organic molecules together. We can also describe the bonding in diatomic molecules important models for larger organic systems Organic Structure and Bonding Chemistry 120 s bonds and p bonds To describe the bonding in the diatomic molecules such as O2, N2 and X2 (X = F, Cl, Br and I), we use both the s orbitals and the p orbitals on the two atoms as a basis set - the palette of atomic orbitals from which we will build the molecular orbitals. The energies of the two different l states, s and p, are slightly different in polyelectronic atoms. Organic Structure and Bonding Chemistry 120 s bonds and p bonds The s orbitals and the p orbitals appear as follows Organic Structure and Bonding s bonds and p bonds Chemistry 120 We arrange the atoms along one of the axes for convenience and so the first pair of orbitals we construct are the ss and ss* orbitals from the s orbitals on the atoms. Organic Structure and Bonding s bonds and p bonds We now us the higher energy p orbitals to construct ps and pp orbitals Chemistry 120 Organic Structure and Bonding s bonds and p bonds The complete molecular orbital diagram for all the diatomic molecules from Li2 to N2 Chemistry 120 Organic Structure and Bonding s bonds and p bonds The complete molecular orbital diagram for all the diatomic molecules from Li2 to N2 As each molecule has a different number of electrons, Li2 2 Be2 4 B2 6 C2 8 N2 10 O2 12 F2 14 Ne2 16 Chemistry 120 Organic Structure and Bonding s bonds and p bonds Li2 2 Be2 4 B2 6 C2 8 N2 10 O2 12 F2 14 Ne2 16 We can write the electronic structure of each molecule by placing electron pairs into the orbitals. Chemistry 120 Organic Structure and Bonding s bonds and p bonds Li2 2 Be2 4 B2 6 C2 8 N2 10 O2 12 F2 14 Ne2 16 Something peculiar happens after N2 Recall that as the charge on the nucleus increases, the orbitals become more stabilized and the electrons become more strongly bound. Chemistry 120 Organic Structure and Bonding s bonds and p bonds Li2 2 Be2 4 B2 6 C2 8 N2 10 O2 12 F2 14 Ne2 16 This happens by different amounts, depending on the orbital. After N2 (10 e-), the ordering of the orbitals derived from p change their order in the molecule Chemistry 120 Organic Structure and Bonding s bonds and p bonds For N2 (10 e-), the ordering is this For O2 (12 e-), the ordering is this Chemistry 120 Organic Structure and Bonding s bonds and p bonds Chemistry 120 This is an example of configurational interaction Each electron moves in the field of the other electrons. If the energies of the two molecular orbitals are sufficiently close and the nodal properties are correct, molecular orbitals will interact and shuffle their energies in the molecule. This causes the s orbitals to change their energetic ordering but only when the nuclear charge is high enough to force the electrons close in energy. Organic Structure and Bonding s bonds and p bonds Chemistry 120 Configurational interaction Each electron moves in the field of the other electrons. If the energies of the two molecular orbitals are sufficiently close and the nodal properties are correct, molecular orbitals will interact and shuffle their energies in the molecule. This causes the s orbitals to change their energetic ordering but only when the nuclear charge is high enough to force the electrons close in energy. Chemistry 120 Molecular Structure A full description of the structure of a molecule requires the solution of the Schrödinger equation for the entire molecule. Hˆ E Tˆ Vˆ r, , E The potential term Vˆ r , , is far too complicated to be solved analytically and so we need an empirical approach to molecular structure. Molecular Structure There are two common approaches Chemistry 120 - Lewis description - Valence Shell Electron Pair Repulsion (VSEPR) theory and both are based on the electron count at the central atom of the molecule or fragment of the molecule. Molecular Structure Lewis description The covalent chemical bond can be thought of as a pair of electrons shared between atoms; By considering the number of electrons in the valence shell and the number of electrons in the outer atoms, we can explain the presence of lone pairs and the gross structure of the molecule. Chemistry 120 G. N. Lewis Molecular Structure Lewis description Chemistry 120 The covalent chemical bond can be thought of as a pair of electrons shared between atoms; By considering the number of electrons in the valence shell and the number of electrons in the outer atoms, we can explain the presence of lone pairs and the gross structure of the molecule in simple cases. G. N. Lewis Molecular Structure Lewis description Chemistry 120 The Lewis description arose form an attempt to cram the observed properties of atoms in combination into a mechanically classical picture of the physical world then prevalent; in fact even classically, the structure of the atom was not explicable. G. N. Lewis http://www.chem.yale.edu/~chem125/125/history99/7BondTheory/LewisOctet/ cubicoctet.html Molecular Structure Lewis description Chemistry 120 The Lewis description is based on the observed requirement that the atom achieves the valence shell octet associated with the noble gases - a noble gas configuration. Consider the formation of MgCl2 Mg: 1s22s22p63s2 or [Ne]3s2 Cl: 1s22s22p63s23p5 or [Ne]3s23p5 Molecular Structure Lewis description Chemistry 120 We know that MgCl2 is ionic and so the changes in the valence shell configurations are Mg: 1s22s22p63s2 or [Ne]3s2 Mg2+: 1s22s22p6 Cl: 1s22s22p63s23p5 or [Ne]3s23p5 Cl-: 1s22s22p63s23p6 or [Ne]3s23p6 (i.e. [Ar]) or [Ne] Molecular Structure Lewis description Chemistry 120 We therefore account for the stability of MgCl2 through the formation of closed shell ions with noble gas configurations, namely Mg2+: 1s22s22p63s2 or [Ne] and Cl-: 1s22s22p63s23p5 or [Ne]3s23p6 (i.e. [Ar]) Molecular Structure Lewis description Chemistry 120 In this respect, the Lewis description of bonding is accurate, but there are major failures with molecules. Lewis described molecular structure through the idea that the atom had some inherent tetrahedral quality and that the electrons were distributed in static manner at the vertices of the tetrahedron Molecular Structure Lewis description Chemistry 120 Lewis described molecular structure through the idea that the atom had some inherent tetrahedral structure and that the electrons were distributed in static manner at the vertices of the tetrahedron. Molecular Structure Lewis description Chemistry 120 Molecular species therefore take structures via sharing electrons through the vertices of the tetrahedron. This naturally implies that all molecules are tetrahedral, which causes major problems for those that are not………. Molecular Structure Lewis description Chemistry 120 Examples: BH3, CH4, NH3, OH2 and FH All these structures are based on the tetrahedron and the sharing of electrons in bonds or the presence of lone pairs at the corner of the tetrahedron. Molecular Structure Lewis description Chemistry 120 Examples: BH3, CH4, NH3, OH2 and FH We can depict the valence shell (i.e. the shell with the highest principle quantum number) as C B 2 2 1 1s 2s 2p 2 O N 2 2 1s 2s 2p 2 2 3 1s 2s 2p 2 F 2 4 1s 2s 2p 2 2 5 1s 2s 2p Molecular Structure Lewis description Chemistry 120 Examples: BH3, CH4, NH3, OH2 and FH C B 2 2 1 1s 2s 2p 2 N 2 2 1s 2s 2p 1s22s22p3 O 1s22s22p4 F 1s22s22p5 We satisfy the open valences of these atoms with H atoms : H Molecular Structure Examples: BH3, CH4, NH3, OH2 and FH 1s22s22p1 1s22s22p2 3H 4H H H B H 1s22s22p4 1s22s22p3 1s22s22p4 1s22s22p5 N O F C B Chemistry 120 3H 1H 2H H H C H H 1s22s22p6 H N H H 1s22s22p6 H O F H 1s22s22p6 1s22s22p6 H Molecular Structure Examples: BH3, CH4, NH3, OH2 and FH H H B H H C H H H H H H N O F B H H H H H H H H H H Chemistry 120 C H H H N H H H O F Molecular Structure Examples: BH3, CH4, NH3, OH2 and FH H H B H H C H H H H H H N O F B H H H H H H H H H H Chemistry 120 C H H H N H H H O F Molecular Structure Examples: BH3, CH4, NH3, OH2 and FH Chemistry 120 The structures of the first row hydrides are not accurately predicted by the Lewis Theory of structure and bonding. H H H H B H H H C H H H N H H H O F Molecular Structure VSEPR Chemistry 120 The other model for molecular structure is VSEPR. We consider a closed shell atom and we also assume that it is spherical. The structure is then determined by the number of “stereochemically active units” present in the outer shell. These stereochemically active units are the ‘lone pairs’ and the bond pairs that are formally assumed to exist in a molecule from a Lewis picture of structure and bonding. Molecular Structure VSEPR Chemistry 120 Once we assume that bond and lone pairs exist, we introduce some other assumptions, one about structure and one about energies of interactions. The structural types that we use are based on the distribution of points on the surface of a sphere such that the distance between them is a maximum. Molecular Structure VSEPR Chemistry 120 For two stereochemically active units, the obvious geometry is linear: Molecular Structure VSEPR Chemistry 120 For three stereochemically active units, we form a triangular arrangement of atoms around the central atom: This geometry is termed Trigonal Planar Molecular Structure VSEPR Chemistry 120 Four stereochemically active units are arranged in the form of a tetrahedron Molecular Structure VSEPR Chemistry 120 For five stereochemically active units, there are two choices. The one most commonly encountered is the trigonal bipyramid Molecular Structure VSEPR Chemistry 120 Six stereochemically active units have only one choice for the base geometry – the octahedron Molecular Structure VSEPR Chemistry 120 In each of these geometries, the sites that are predicted are occupied either by an atom or by an ‘electron pair’ The final requirement is to detail the interaction between these various pairs of electrons – bond and lone – in the atom. Molecular Structure VSEPR Chemistry 120 The interaction energies that we are interested in are the repulsions between these pairs of electrons. As bond pairs are more tightly confined, the reulsions due to bond pairs are less. Lone pairs, assumed to be more diffuse, suffer from higher repulsions and thus the energy ordering is: B.P.-B.P. < B.P.-L.P. < L.P.-L.P Molecular Structure VSEPR Chemistry 120 With these rules in hand, and a knowledge of the possible geometries, we can now predict with some certainty the expected molecular geometry of any main group species. Molecular Structure VSEPR Chemistry 120 Example: What are the structures of SF4, CF4 and XeF4? Step 1: atom. S 6 Count the electrons on each central metal C 4 Xe 8 Molecular Structure VSEPR Chemistry 120 Example: What are the structures of SF4, CF4 and XeF4? Step 1: atom. S 6 Count the electrons on each central metal C 4 Xe 8 Step 2: Determine the number of bond pairs that each atom has. In this case it is 4 each. Molecular Structure VSEPR Chemistry 120 Example: What are the structures of SF4, CF4 and XeF4? Step 3: Determine the number of ‘lone pairs’ that each atom has. As each bond has 1 e- from the central atom, then the number of electrons in lone pairs is just S 6-4=2 C 4-4=0 Xe 8-4=4 Molecular Structure VSEPR Chemistry 120 Example: What are the structures of SF4, CF4 and XeF4? Step 4: Determine the number of sterochemically active species by type SF4 4 bond pairs, 1 lone pair CF4 4 bond pairs, 0 lone pair XeF4 4 bond pairs, 2 lone pairs Molecular Structure VSEPR Chemistry 120 Example: What are the structures of SF4, CF4 and XeF4? Step 5: Apply the energy rules to each structure type and determine the structure type SF4 trigonal bipyramid CF4 tetrahedron XeF4 octahedron Molecular Structure VSEPR Chemistry 120 Example: What are the structures of SF4, CF4 and XeF4? And so the structures are…….. F F F S F F F F Xe F F F C F F Molecular Structure Review • Lewis electron dot structures Chemistry 120 • Valence Shell Electron Pair Repulsion (VSEPR) theory Both are based on the electron count at the central atom, A, of the molecule or fragment of the molecule AXn. Chemistry 120 Molecular Structure Review We observe that the atoms achieve a noble gas configuration in the valence shell, often (but not always) an octet. The first three noble gas configurations: [He]: 1s2 2 valence electrons [Ne]: 1s22s22p6 8 valence electrons [Ar]: 1s22s22p63s23p6 8 valence electrons Molecular Structure Review Chemistry 120 He H N O Li Be B C Na Mg Al Si P S Cl Ar F Ne K Ca Sc Ti V Cr Mn Fe Co Ni Cu Zn Ga Ge As Se Br Kr Rb Sr Y Zr Nb Mo Tc Os Rh Pd Ag Cd In Sn Sb Te I Xe Cs Ba La Hf Ta W Re Ru Ir Pt Au Hg Tl Pb Bi Po At Rn Fr Ra Ac Rf Db Sg Bh Hs Mt Ce Pr Nd Pm Sm Eu Gd Tb Dy Ho Er Tm Yb Lu Th Pa U Np Pu Am Cm Bk Cf Es Fm Md No Lr Molecular Structure Review AHn Examples: Chemistry 120 BH3, CH4, NH3, OH2 and FH C B 2 1 [He] 2s 2p [He] 2s22p2 N [He] 2s22p3 O [He] 2s22p4 F [He] 2s22p5 We satisfy the open valences of these atoms with H atoms : H Molecular Structure Review Chemistry 120 He H Li Be B C N O Na Mg Al Si P S Cl Ar F Ne K Ca Sc Ti V Cr Mn Fe Co Ni Cu Zn Ga Ge As Se Br Kr Rb Sr Y Zr Nb Mo Tc Os Rh Pd Ag Cd In Sn Sb Te I Xe Cs Ba La Hf Ta W Re Ru Ir Pt Au Hg Tl Pb Bi Po At Rn Fr Ra Ac Rf Db Sg Bh Hs Mt Ce Pr Nd Pm Sm Eu Gd Tb Dy Ho Er Tm Yb Lu Th Pa U Np Pu Am Cm Bk Cf Es Fm Md No Lr Molecular Structure Review AHn: BH3, CH4, NH3, OH2 and FH [He]2s22p1 [He]2s22p2 [He]2s22p3 C N B 4H 3H B H [He]2s22p4 [He]2s22p4 [He]2s22p5 O 3H F 1H 2H H H H Chemistry 120 H C H H [He]2s22p6 or [Ne] H N H H O H H [He]2s22p6 or [Ne] [He]2s22p6 or [Ne] F H [He]2s22p6 or [Ne] Chemistry 120 Molecular Structure Review VSEPR: What are the structures of BH3, CH4, NH3, OH2, and FH? Step 1: Count the electrons on each central atom. B 3 [He]2s22p1 C 4 [He]2s22p2 N 5 [He]2s22p3 O 6 [He]2s22p4 F 7 [He]2s22p5 Chemistry 120 Molecular Structure Review Step 2: Determine the number of bond pairs for each central atom. H H B H H H C H H H N H Number of bond pairs: 3 4 3 H H O F H 2 1 H Chemistry 120 Molecular Structure Review Step 3: Determine the number of ‘lone pairs’ remaining on the central atom. H H B H H H C H H Number of bond pairs: 3 4 Number of lone pairs: 0 0 H N H H H O F H 3 2 1 1 2 3 H Chemistry 120 Molecular Structure Review Step 4: Determine the total number of stereochemically active units (bond pairs and lone pairs of electrons). BH3 3 bond pairs + 0 lone pairs = 3 CH4 4 bond pairs + 0 lone pairs = 4 NH3 3 bond pairs + 1 lone pair = 4 OH2 2 bond pairs + 2 lone pairs = 4 FH 1 bond pairs + 3 lone pairs = 4 Chemistry 120 Molecular Structure Review Step 5: Determine the structure type by applying the energy rules to each structure type. The most favorable structure minimizes steric interactions among the stereochemically active units. For a molecule with a central atom (B), imagine the stereochemically active units (A) on the surface of a sphere as far apart in space as possible. Chemistry 120 Molecular Structure Review The number of stereochemically active units determines the geometry around the central atom. BA2 BA3 BA4 linear trigonal planar tetrahedral Molecular Structure Review BA5 BA6 trigonal bipyramid octahedral Chemistry 120 Chemistry 120 Molecular Structure Review Which VSEPR geometry is appropriate for these compounds? BH3 3 bond pairs + 0 lone pairs = 3 CH4 4 bond pairs + 0 lone pairs = 4 NH3 3 bond pairs + 1 lone pair = 4 OH2 2 bond pairs + 2 lone pairs = 4 FH 1 bond pairs + 3 lone pairs = 4 Molecular Structure Review BH3 3 bond pairs + 0 lone pairs = Chemistry 120 3 Molecular Structure Review BH3 Chemistry 120 3 bond pairs + 0 lone pairs = 3 trigonal planar Chemistry 120 Molecular Structure Review CH4, NH3, OH2, FH: All have 4 stereochemically active units. Chemistry 120 Molecular Structure Review CH4, NH3, OH2, FH: All have 4 stereochemically active units. tetrahedral Molecular Structure Review Chemistry 120 CH4, NH3, OH2 and FH H H H H C H H H N H H H O F All have a tetrahedral geometry at the central atom. Chemistry 120 Molecular Structure Review Q: If there are a mix of bonding pairs and lone pairs around the central atom, what determines their positions? Chemistry 120 Molecular Structure Q: If there are a mix of bonding pairs and lone pairs around the central atom, what determines their positions? A: As bond pairs are more tightly confined, the repulsions due to bond pairs are less. Lone pairs, assumed to be more diffuse, suffer from higher repulsions and thus the energy ordering is: B.P.-B.P. < B.P.-L.P. < L.P.-L.P Molecular Structure Chemistry 120 B.P.-B.P. < B.P.-L.P. < L.P.-L.P Examples : PCl5 PCl3 Molecular Structure Chemistry 120 B.P.-B.P. < B.P.-L.P. < L.P.-L.P Examples : PCl5 PCl3 Cl Cl P Cl Cl Cl Molecular Structure Chemistry 120 B.P.-B.P. < B.P.-L.P. < L.P.-L.P Examples : PCl5 PCl3 Cl Cl P Cl Cl Cl AB5 Cl Cl P Cl AB4 Molecular Structure Chemistry 120 B.P.-B.P. < B.P.-L.P. < L.P.-L.P Examples : SF2 SF4 Molecular Structure Chemistry 120 B.P.-B.P. < B.P.-L.P. < L.P.-L.P Examples : SF2 F F SF4 S Molecular Structure Review Trigonal Bipyramid Aa 120 Ae B 90 Aee Ae Aa Chemistry 120 Molecular Structure Chemistry 120 B.P.-B.P. < B.P.-L.P. < L.P.-L.P Examples : SF2 F F SF4 S F F S F F Chemistry 120 Molecular Structure Review Q: What if the species is charged, e.g. PH4+ ? Chemistry 120 Molecular Structure Review Q: What if the species is charged, e.g. PH4+ ? A: Take the charge into account in the valence electrons of the central atom. P0 5 valence electrons P+ 4 valence electrons Chemistry 120 Molecular Structure Review Q: What if the species is charged, e.g. PH4+ ? A: Take the charge into account in the valence electrons of the central atom. P0 5 valence electrons P+ 4 valence electrons H H H P H Chemistry 120 Molecular Structure Review Q: If there are three different atoms in a molecule, which one is the central one? Chemistry 120 Molecular Structure Review Q: If there are three different atoms in a molecule, which one is the central one? Chemistry 120 Molecular Structure Review Q: If there are three different atoms in a molecule, which one is the central one? A: The least electronegative atom (most electropositive atom) is in the center. Chemistry 120 Molecular Structure Review Q: If there are three different atoms in a molecule, which one is the central one? A: The least electronegative atom (most electropositive atom) is in the center. Example: COCl2 Chemistry 120 Molecular Structure Review Q: If there are three different atoms in a molecule, which one is the central one? A: The least electronegative atom (most electropositive atom) is in the center. Example: O COCl2 C Cl Cl Organic Structure and Bonding Organic chemistry is the chemistry of the top right corner of the Periodic table. It is the branch of chemistry that is most closely connected to biology and health-related science: Medicine and Pharmaceuticals The key elements are carbon, hydrogen, oxygen, nitrogen and phosphorous. Chemistry 120 Organic Structure and Bonding Chemistry 120 s and p review s bonds: No nodal plane that contains both nuclei p bonds: 1 nodal plane that contains both nuclei Organic Structure and Bonding Bonding in organic molecule almost always only contains these two types of bond. In organic molecules, neutral carbon atoms always have 4 and only 4 bonds: They can be single, double or triple Chemistry 120 Chemistry 120 Organic Structure and Bonding Bonding in organic molecule almost always only contains Alkyne: 2-butyne single and triple bonds these two types of bond. H H In organic molecules, neutral carbon atoms always have 4 and only 4 bonds: They can be single, double or triple H H H H H H H H H H H H Alkene: 2-butene single and double bonds H H H H H H H H H H Alkane: butane all single bonds Chemistry 120 Organic Structure and Bonding In methane, all the bonds are identical and methane is tetrahedral. How do we describe the bonding in methane? Two methods: 1. Full molecular orbital theory needs group theory and quantum mechanics 2. Hybridization of atomic orbitals an approximation that works well in organic chemistry Chemistry 120 Hybridization This is a method for describing the bonding in organic molecules by adding all of the wavefunctions together on a single carbon atom, using the three 2p orbitals and the 2s orbital. We can form three different combinations: sp3 sp2 sp where the superscripts show the number of p orbitals that we are adding to the s orbital Chemistry 120 sp3 hybridization In terms of energy, sp3 hybridization looks like: sp3 hybridization The four sp3 hybrid orbitals point naturally at the corners of the tetrahedron. Carbon is tetrahedrally coordinated All are equal in length and the angle between the orbitals and therefore the bonds is ~ 109.5° Carbon atoms with four single bonds are sp3 hybridized Chemistry 120 Chemistry 120 sp2 hybridization We can also add two p orbitals to the s orbital to form an sp2 hybrid, leaving one p orbital unused 2p Hybridize 2s Atom three sp2 hybrids Hybridized atom sp2 hybridization The three sp2 hybrid orbitals point naturally at the corners of a triangle – the coordination at carbon is trigonal planar. All are equal in length and the angle between the orbitals and therefore the bonds is 120° Carbon atoms with two single bonds and one double bond are sp2 hybridized Chemistry 120 sp2 hybridization The double bond can occur due to the p orbital that we have not used on the carbon atom: Chemistry 120 sp2 hybridization Imagine two sp2 hybridized carbon atoms forming a s bond using one sp2 hybrid: The ‘spare’ p orbitals can then form the p bond. Chemistry 120 sp2 hybridization Alkenes, ketones, aldehydes, and any double bonded atom are all sp2 hybridized. The s bonds are formed from the hybrids and the p bond from the p orbital left over on each atom. Chemistry 120 Chemistry 120 sp hybridization The last possible hybrid is the sp hybrid. We use one p orbital and 1 s orbital: sp hybridization The two sp hybrids point at 180° to each other. The two p orbitals can form two p bonds Chemistry 120 sp hybridization Any triple bonded atom is sp hybridized Alkynes, CO and CN- are all triply bonded. Chemistry 120 Chemistry 120 Double and Triple bond structures In a alkene, or other double bonded structure, the sp2 hybrids from the s framework The bond between carbon atoms contains 4 electrons, two in an sp2 s bond and two in the pp bond Chemistry 120 Double and Triple bond structures In a alkyne, or other triple bonded structure, the sp hybrids from the s framework The bond between carbon atoms contains 6 electrons, two in an sp s bond and four in the two pp bonds Chemistry 120 Polar and non-polar bonds So far, we have considered bonds between identical atoms – homoatomic bonds. The electron distributions are equal as the orbitals on the atoms have identical energies and sizes. In a heteroatomic system, this is not true and the atomic orbitals that make up the molecular orbitals have different energies. Chemistry 120 Polar and non-polar bonds The orbital energies on an electronegative atom are lower in energy and therefore stabilize an electron more effectively. In a heteroatomic bond, this causes a small change in the distribution of the bonding electron density and thus a small, permanent charge difference Polar and non-polar bonds For a non-polar molecule, the molecular orbital diagram is the standard diagram for a diatomic, shown here for O2F2 Polar molecules are skewed in energy. Chemistry 120 Polar and non-polar bonds Polar molecules are skewed in energy. The bonding molecular orbitals are more similar to the lower energy atomic orbitals – those on the electronegative element. The opposite is true for the antibonding orbitals. Chemistry 120 Phase Changes Chemistry 120 Matter exists primarily in three phases: solid liquid gas Both elements and compounds are found in these three phases, and are denoted by subscripts, e.g. N2 (g), H2O(l), and Au(s). Phase Changes Chemistry 120 The three phases interconvert with one another. gas liquid solid Phase Changes Chemistry 120 Interconversions of gases and liquids are called: gas vaporization condensation liquid solid Phase Changes Chemistry 120 Interconversions of liquids and solids are called: gas liquid freezing melting solid Phase Changes Chemistry 120 Interconversions of gases and solids are called: gas sublimation liquid solid deposition Phase Changes Chemistry 120 AB – sublimation/deposition AD – melting/freezing AC – vaporization/condensation Phase Changes Chemistry 120 Changing from a less dense phase to a more dense phase (e.g. condensation) is exothermic. Changing from a more dense phase to a less dense (e.g. vaporization) one is endothermic. For any two phases, the energy changes in both directions are equal in magnitude, but opposite in sign. DHvap = -DHcon Recall that enthalpy is a state function. Phase Changes H2O enthalpy of fusion (melting) Chemistry 120 Phase Changes Chemistry 120 Liquids and their vapors are in equilibrium. Pressure of a vapors (gas phase) = vapor pressure of liquid Pressure and temperature are directly proportional. Recall PV = nRT Phase Changes SCF = supercritical fluid Chemistry 120 Phase Changes Chemistry 120 AB – sublimation/deposition AD – melting/freezing AC – vaporization/condensation Phase Changes Chemistry 120 The temperature at which a liquid boils is called its boiling point (bp). Boiling point is a function atmospheric pressure, or the pressure above the solution. Normal boiling point is the boiling temperature of a liquid at 1 atmosphere (atm) pressure. Phase Changes Chemistry 120 Critical temperature, Tc, is the highest temperature at which liquid and vapor exist in equilibrium. Critical pressure, Pc, is the vapor pressure at the critical temperature. Critical point is reached at Tc and Pc. Triple point is the temperature and pressure at which all three phases coexist. Phase Changes H2O phase diagram A = triple point C = Tc, Pc Chemistry 120 Phase Changes Chemistry 120 Phase diagram for HgI2 (mercuric iodide) HgI2 (a) and HgI2 (b) are both solids but different phases. Intermolecular Forces Chemistry 120 The phase changes from solid to liquid to gas are governed by intermolecular forces. Intramolecular forces are the chemical bonding forces discussed previously. These intermolecular forces have both attractive and repulsive components. Collectively they are called van der Waals forces after the Dutch Nobel laureate (physics) who described them. Intermolecular Forces Johannes Diderik van der Waals Van der Waals forces describe the behavior of a non-ideal gas, which includes both attractive and repulsive components. [P + a(n/V)2](V-bn) = nRT Chemistry 120 Intermolecular Forces Chemistry 120 All molecules exert weak attractions on one another due to the mutual attraction of nuclei and electrons. These attractive forces are only significant at very short distances. At such small distances the intermolecular repulsion of the electrons on different atoms is also significant. Intermolecular Forces Chemistry 120 The electrons orbiting all atoms and molecules can be perturbed by an electric field, with greater or lesser ease. This property is called polarizability. The electron cloud around an atom or molecule can give an instantaneous dipole any time that the electrons are not distributed perfectly symmetrically. Such a dipole can induce dipoles in other species nearby. Intermolecular Forces Chemistry 120 Intermolecular Forces The attractive forces between an instantaneous dipole and an induced dipole are called London dispersion forces after the physicist Fritz London. These forces are stronger for more polarizable species. Chemistry 120 Intermolecular Forces Chemistry 120 Some molecules have a permanent dipole because of differences in electronegativities among the atoms. Such molecules experience dipole-dipole forces. All molecules experience dispersion forces and induced dipoles, and polar molecules also experience dipole-dipole forces. Intermolecular Forces Dipole-dipole interactions. Chemistry 120 Intermolecular Forces Chemistry 120 The intermolecular forces that we have seen London dispersion forces induced dipole interactions dipole-dipole interactions have a strong effect on the boiling points of liquids, along with the molecular weight of a compound, and hydrogen bonding. Intermolecular Forces (a) CS2 (b) CH3OH (c) CH3CH2OH (d) H2O (e) C6H5NH2 NH2 Chemistry 120 Intermolecular Forces Chemistry 120 Hydrogen bonding is an additional type of bonding interaction that requires a hydrogen atom on one molecule and a source of electron density on another molecule, usually a lone pair. Hydrogen bonding can be intramolecular as well as intermolecular. Intermolecular Forces Chemistry 120 Intermolecular Forces Chemistry 120 Intermolecular Forces Chemistry 120 Intermolecular Forces Boiling points of covalent hydrides Chemistry 120 Intermolecular Forces Boiling points of covalent hydrides Chemistry 120 Intermolecular Forces Chemistry 120 The second-row hydrides NH3, H2O, and HF exhibit much higher boiling points that would be expected based on their molecular weights. Strong hydrogen bonding between the molecules is responsible for the large liquid phase range of these compounds. CH4 has a low boiling point because it has no lone pairs to form strong hydrogen bonds. Intermolecular Forces Hydrogen bonding is crucial for the double-helical structure of DNA. An understanding of hydrogen bonding between base pairs made the structural solution possible for James Watson and Francis Crick. Chemistry 120 Intermolecular Forces Chemistry 120 DNA base pairs hydrogen bond between G-C and A-T Structure and Bonding Chemistry 120 s bonds are in general stronger than p bonds and can be formed from either s or p orbitals: s bonds have no nodal planes along the line containing the two nuclei. Structure and Bonding Chemistry 120 The s* antibonding orbital has one nodal plane between the two nuclei Structure and Bonding p bonds have one nodal plane that contains both nuclei. The p* antibonding orbital also has one nodal plane between the nuclei. Chemistry 120 Hybridization Review Chemistry 120 Recall: sp3 hybridization 4 s bonds sp2 hybridization 3 s bonds, 1 p bond H C H sp3 sp hybridization 2 s bonds, 2 p bonds H H H C H H C H sp2 H C C H sp Hybridization Review methanol H H H C OH Chemistry 120 water ethanol H HH OH C C H H H O H Hybridization Review methanol H H H C OH 3 sp Chemistry 120 water ethanol H H H OH C C H HH O H Hybridization Review methanol H H H C OH 3 sp Chemistry 120 water ethanol H H H OH C C H H H 3 3 sp sp O H Hybridization Review methanol H H H C OH 3 sp Chemistry 120 ethanol water HH OH C C H H H H 3 3 sp sp O H 3 sp Hybridization Review carbon disulfide S C Chemistry 120 aniline S NH2 Hybridization Review carbon disulfide S C sp Chemistry 120 aniline S NH2 Hybridization Review carbon disulfide S C Chemistry 120 aniline NH2 S sp2 sp sp2 Hybridization Review carbon disulfide S C Chemistry 120 aniline sp3 NH2 S sp2 sp sp2