Chemical Bonding What is a Chemical Bond? a bond is a force of attraction between two atoms the source of the force are attractions and repulsions between electrons and the atomic nucleii before we get into detail, do the Ball & Stick activity, to get an idea of what molecules look like. Review of Grade 11 Quantum theory electron configuration orbital diagrams Lewis diagrams Quantum Mechanics and Atomic Orbitals Quantum mechanics is a mathematical treatment into which both the wave and particle nature of matter could be incorporated. Quantum Mechanics since the electron is both a wave and a particle it is impossible to give it’s location or speed with certainty. gives a probability density map of where an electron has a certain statistical likelihood of being at any given instant in time. Quantum Numbers The probability map reveals the atomic orbitals, and their corresponding energies. An orbital is described by a set of three quantum numbers. Principal Quantum Number, n This relates to the energy of the electron As n becomes larger, the atom becomes larger and the electron is further from the nucleus. This is directly related to the period of the atom on the Periodic Table Angular momentum quantum number, l This quantum number defines the shape of the orbital. There are 4 shapes: s p d f - begins at n = 1 begins at n = 2 begins at n = 3 begins at n = 4 Theoretical g, h, i, etc. orbitals exist, but no atoms have been created to use them. Magnetic Quantum Number, ml Magnetic quantum numbers give the three-dimensional orientation of each orbital. s p d f - has 1 orientation has 3 orientations has 5 orientations has 7 orientations s Orbitals Spherical in shape. p Orbitals propeller shaped Have two lobes with a node between them. d Orbitals Four of the five orbitals have 4 lobes; the other resembles a p orbital with a doughnut around the center. f orbitals (flowers) Spin Quantum Number, ms electrons have spin, which creates a magnetic field there are two spin states possible, +1/2 and -1/2 a single orbital can hold a maximum of two electrons, which must have opposite spin (Pauli Exclusion Principle). Electron Address thus every electron location is defined in terms of 4 things: a) b) c) d) Principal Quantum Number - 1 to 7 Angular Quantum Number – s, p, d or f Magnetic Quantum Number – implied by number of electrons in each shape; s has 2, p has 6, d has 10 and f has 14 Spin Quantum Number – why each orbital can contain 2 electrons Electron Configurations Electrons tend to occupy the lowest energy orbitals. Thus the electron configuration of an atom is the arrangement of the electrons from the lowest energy level to the highest. Electron Configurations Consist of Number denoting the energy level. Letter denoting the type of orbital. Superscript denoting the number of electrons in those orbitals. For instance: Iron (Fe) – contains 26 electrons 1s22s22p63s23p64s23d6 watch the order of filling Electron Configuration Potassium - 19 electrons 1s22s22p63s23p64s1 Silver - 47 electrons 1s22s22p63s23p64s23d104p65s24d9 Tungsten - 74 electrons 1s22s22p63s23p64s23d104p65s24d105p66s24f145d 4 Plutonium - 94 electrons 1s22s22p63s23p64s23d104p65s24d105p66s24f145d 10 6p67s25f6 Write the correct electron configuration for the following: Si, S, P, Ca, As, Fe, Br, Kr, At, U, Na1+, F1-, Ne Electron Configuration Si - 14 e1- 1s22s22p63s13p3 S - 16 e1- 1s22s22p63s23p4 P - 15 e1- 1s22s22p63s23p3 Ca - 20 e1- 1s22s22p63s23p64s14p1 As - 33 e1- 1s22s22p63s23p64s23d104p3 Fe - 26 e1- 1s22s22p63s23p64s23d6 Br - 35 e1- 1s22s22p63s23p64s23d104p5 Kr - 36 e1- 1s22s22p63s23p64s23d104p6 At - 85 e11s22s22p63s23p64s23d104p65s24d105p66s24f145d106p5 U - 92 e11s22s22p63s23p64s23d104p65s24d105p66s24f145d106p67s 25f4 Na1+ - 10 e11s22s22p6 F1- - 10 e1- 1s22s22p6 Ne - 10 e1- 1s22s22p6 Electron Promotion promotion of an outer ‘s’ electron to the adjacent ‘p’ orbital. turns non-bonding electrons into bonding electrons allows atoms to make more chemical bonds and achieve a lower energy applies to elements from groups 2, 13 and 14 only for these elements promotion is the rule Electron Promotion Element Unhybridized Hybridized beryllium 1s22s2 1s22s12p1 boron 1s22s22p1 1s22s12p2 carbon 1s22s22p2 1s22s12p3 Orbital Diagrams are another way to illustrate the position of electrons. They are best learned by comparison with electron configuration: Na (11 protons, 11 electrons) electron configuration: 1s22s22p63s1 orbital diagram: 1s 2s 2p 3s ↑↓ ↑↓ ↑↓ ↑↓ ↑↓ ↑ Orbital Diagrams Group Representative Element Electron configuration Orbital Diagram 1 lithium 1s22s1 1s ↑↓ 2s ↑ 2p 2 beryllium 1s22s12p1 ↑↓ ↑ ↑ 13 boron 1s22s12p2 ↑↓ ↑ ↑ ↑ 14 carbon 1s22s12p3 ↑↓ ↑ ↑ ↑ ↑ 15 nitrogen 1s22s22p3 ↑↓ ↑↓ ↑ ↑ ↑ 16 oxygen 1s22s22p4 ↑↓ ↑↓ ↑↓ ↑ ↑ 17 fluorine 1s22s22p5 ↑↓ ↑↓ ↑↓ ↑↓ ↑ 18 neon 1s22s22p6 ↑↓ ↑↓ ↑↓ ↑↓ ↑↓ Repeat the last assignment, giving the orbital diagrams for the elements. • Na1+, F1-, Ne are all the same: Electron dot (Lewis) diagrams gives information only concerning the valence electrons. the electrons on the outside of an atom the electrons responsible for bonding the electrons gained or lost when an atom ionizes. the electrons in the s and p orbitals of the highest energy level reached by the electrons of an atom. In this class when valence electrons are mentioned, the only elements concerned are those in groups 1, 2, and 13 through 18. all atoms in the same group have the same Lewis diagram !! Lewis diagrams group 1 group 2 group 13 group 14 group 15 group 16 group 17 group 18 Lewis diagrams Repeat last assignment, making lewis diagrams. Lewis Diagram Answers: Fe and U have no lewis diagrams What do Orbital and Lewis diagrams tell us? both give information about valence electrons. if valence electrons are paired, they cannot be used for bonding with other atoms. They are lone-pair electrons. unpaired valence electrons are bonding electrons. • 5 valence electrons • 1 lone pair • 3 bonding electrons; this atom makes 3 chemical bonds. • 4 valence electrons • 0 lone pair • 4 bonding electrons; this atom makes 4 chemical bonds • 7 valence electrons • 3 lone pair • 1 bonding electrons; this atom makes 1 chemical bond • 8 valence electrons • 4 lone pair • 0 bonding electrons; this atom makes 0 chemical bonds Valence level expansion Some compounds occur which cannot be easily explained: PF5, SF6, ClF7, ArF8 in each case the number of chemical bonds is equal to the number of valence electrons. this can only happen if electrons are promoted to a higher energy level. In this case it is the adjacent ‘d’ orbital. PF5 the normal orbital diagram looks like this: with valence level expansion it looks like this: Valence level expansion includes: elements of groups 15 to 18, from period 3 down periods 1 and 2 do not have a ‘d’ orbital to promote to. Please note that valence level expansion is the exception, not the rule. Chemical Bonding is all about the electrons. in most of our discussions we will concentrate the valence electrons. since there are 4 of these orbitals in any quantum it requires 8 electrons (an octet) to fill them. the tendency of atoms to try to fill out the outer ‘s’ and ‘p’ shells is the octet rule. exception: atoms from groups 2 and 13 Chemical Bonding Bonding can happen in one of two ways: To share electrons The outer orbitals of 2 atoms overlap so that each atom is in the vicinity of a full set of valence electrons. This type of bonding is called covalent bonding. Chemical bonding Atoms gain or lose electrons to arrive at a full set of valence electrons. When atoms gain or lose electrons they become ions. Ions are attracted to ions of opposite charge and repelled by ions of the same charge. This type of bonding is called ionic bonding How Many Bonds ??? • the number of bonds made by atoms in the ‘s’ and ‘p’ blocks of the Periodic Table is determined by how many electrons they are away from an octet: How Many Bonds ??? Group Valence Electrons Covalent Bonds Ionic Bonds 1 2 13 1 2 3 1 21 31 1 (1+) 2 (2+) 3 (3+) 14 15 16 17 18 4 5 6 7 8 41 3 (52) 2 (62) 1 (72) 0 (82) 3 (3-) 2 (2-) 1 (1-) 0 1electron promotion 2valence level expansion • most of our discussion will be centred on covalent bonding. Electronegativity is a measure of how strongly an atom is holding on to its valence electrons. If an atom loses an electron fairly easily it has a low electronegativity (and tends to be a cation). If an atom tends not to lose electrons, but tends to steal them from other atoms (and become an anion) it has a high electronegativity. To determine what type of bond exists between two atoms you subtract their respective electronegativities: if the electronegativity difference is 0.2 or less, the bond is covalent if the electronegativity difference is 1.7 or greater the bond is ionic. Electronegativity If the electronegativity difference between two atoms is between 0.3 and 1.6 the bond is polarcovalent. The greater the electronegativity difference the greater the ionic character of the bond: Polar-Covalent Bonding Covalent bonding implies equal sharing of electrons. If sharing is not equal, the electrons in a bond will spend more time with one atom than the other. Polar-Covalent Bonding The atom where the electrons spend more time will have a net negative charge, while the atom at the other end of the bond will be positive. This type of bond is polar-covalent. Assignment Determine the electronegativity difference for each chemical bond. If the bond is polar covalent draw an arrow in the direction of the dipole, from positive to negative: C-H END = | 2.5 - 2.1 | = 0.4 polar covalent bond N-H P-H Br - Cl B-F Si - Cl O-H S-O Cu - Br C - Cl N-I C-O N-H • END = |3.0 – 2.1| = 0.9 • polar covalent bond: N-H B-F • END = |2.0 – 4.0| = 2.0 • ionic bond: [B]3+[F]1S–O • END = |2.5 – 3.5| = 1.0 • polar covalent bond: S-O P-H • END = |2.1 – 2.1| = 0.0 • covalent bond: P–H Si - Cl • END = |1.8 – 3.0| = 1.2 • polar covalent bond: Si - Cl Cu - Br • END = |1.9 – 2.8| = 0.9 • polar covalent bond: Cu - Br N–I • END = |3.0 – 2.5| = 0.5 • polar covalent bond: N-I Br – Cl • END = |2.8 – 3.0| = 0.2 • covalent bond: Br – Cl O–H • END = |3.5 – 2.1| = 1.4 • polar covalent bond: O–H C – Cl • END = |2.5 – 3.0| = 0.5 • polar covalent bond: C – Cl C–O • END = |2.5 – 3.5| = 1.0 • polar covalent bond: C–O Back to the Ball & Stick determine the electronegativity difference and bond type for each bond in each of the molecules in the activity. Covalently-Bonded Structures we now have to consider molecules made of several atoms. most of the following discussion will concern itself with molecules made with covalent or polar-covalent bonds. ionic bonds (and others) will return later in the unit. Lewis Structures Lewis structures allow us to predict how atoms will come together to make molecules. Lewis structures are representations of molecules showing all electrons, bonding and nonbonding. Writing Lewis Structures 1. PCl3 Find the sum of valence electrons of all atoms in the polyatomic ion or molecule. 5 + 3(7) = 26 If it is an anion, add one electron for each negative charge. If it is a cation, subtract one electron for each positive charge. Writing Lewis Structures 2. Keep track of the electrons: 26 6 = 20 The central atom is the least electronegative element that isn’t hydrogen. Connect the outer atoms to it by single bonds. Writing Lewis Structures 3. Keep track of the electrons: 26 6 = 20 18 = 2 Fill the octets of the outer atoms. Writing Lewis Structures 4. Keep track of the electrons: 26 6 = 20 18 = 2 2 = 0 Fill the octet of the central atom. Writing Lewis Structures 5. If you run out of electrons before the central atom has an octet… …form multiple bonds until it does. Exceptions to Octet Rule Electron Promotion group 2 central atom will have 4 electrons group 13 central atom will have 6 electrons Valence Level Expansion group 15 central atom will have 10 electrons group 16 central atom will have 12 electrons group 17 central atom will have 14 electrons group 18 central atom will have 16 electrons Writing Lewis Structures Write Lewis Structures for the following molecules: F2 BCl3 SeH2 MgH2 SiF4 C 3H 8 C 3H 6 C3H4 Molecular Shapes The shape of a molecule plays an important role in its reactivity. By noting the number of bonding and nonbonding electron pairs we can easily predict the shape of the molecule. What Determines the Shape of a Molecule? Simply put, electron pairs, whether they be bonding or nonbonding, repel each other. By assuming the electron pairs are placed as far as possible from each other, we can predict the shape of the molecule. Valence Shell Electron Pair Repulsion Theory (VSEPR) “The best arrangement of a given number of electron domains is the one that minimizes the repulsions among them.” Molecular Geometries the shape of any molecule can be predicted based on two things: 1. 2. Group number of the central atom number of atoms bonded to the central atom Group 2 Geometries Central Atom Magnesium Bonding Lone Pair Bond Type Shape Example Electrons Electrons 2 0 all single linear MgI2 one double linear MgO In this domain, there is only one molecular geometry: linear. NOTE: If there are only two atoms in the molecule, the molecule will be linear no matter what the electron domain is. Group 13 Geometries Central Bonding Lone Pair Atom Electrons Electrons Boron 3 0 Bond Type Shape Example all single trigonal planar BI3 one double linear BIO one triple linear BN because there are no lone pair electrons the molecular is planar (flat). Group 14 Geometries Central Bonding Lone Pair Atom Electrons Electrons Carbon 4 0 Bond Type Shape Example all single tetrahedral CH4 one double trigonal planar one triple, linear or two double COH2 HCN CO2 Summary for Groups 2, 13 & 14 because there are no lone pair electrons: central atom bonded to 1 atom: linear central atom bonded to 2 atoms: linear central atom bonded to 3 atoms: trigonal planar central atom bonded to 4 atoms: tetrahedral Group 15 Geometries Central Atom Nitrogen Bonding Lone Pair Electrons Electrons 3 1 Bond Type Shape all single trigonal pyramidal NH3 one double angular NOH one triple linear 5 0 Example all single N2 trigonal NCl5 bipyramidal Group 16 Geometries Central Atom Oxygen Bonding Lone Pair Electrons Electrons 2 6 2 0 Bond Type Shape Example all single angular H2O one double linear O2 all single octahedral OF6 Group 17 & 18 Geometries group 17 normally makes 1 chemical bond (linear) with valence level expansion can make 7 bonds (ClF7). group 18 normally makes no bonds with valence level expansion can make 8 bonds (ArF8). Larger Molecules In larger molecules, it makes more sense to talk about the geometry about a particular atom rather than the geometry of the molecule as a whole. This molecule is tetrahedral about the first carbon, planar trigonal about the second and angular about the single-bonded oxygen. Larger Molecules This approach makes sense, especially because larger molecules tend to react at a particular site in the molecule. Using VSEPR Theory Determine the shape of each molecule, or atom within the molecule: F2 PCl3 SeH2 MgH2 SiF4 C 3H 8 C 3H 6 C3H4 Polarity previously we discussed bond dipoles. But just because a molecule possesses polar bonds does not mean the molecule as a whole will be polar. Polarity By adding the individual bond dipoles, one can determine the overall dipole moment for the molecule. In other words we can see if the dipoles reinforce each other, or cancel out. Polarity Assignment Perform the following activities for the molecules in the Balls & Sticks Activity: 1. 2. 3. 4. Draw a lewis structure Draw a structural diagram and indicate shape. Determine the electronegativity difference for each bond type and determine whether the bond is covalent, polar covalent or ionic Determine if they will be polar, or non-polar. Properties of Molecules Intermolecular Forces Properties of Molecules are determined by how the molecules interact with each other. How they interact is determined by the forces of attraction between molecules. These are called intermolecular forces; the forces which act between molecules, to draw them together, forming the various phases of matter. How do we measure force ? the best way is by temperature. temperature is a measure of kinetic energy; the lowest temperature represents zero kinetic energy. for a substance to melt or boil the kinetic energy must overcome the intermolecular force. the higher the melting temperature or boiling temperature, the greater the intermolecular force. Van der Waals Forces occur between covalently bonded molecules. three kinds: London disersion dipole-dipole attraction hydrogen bonding London Dispersion Forces are the dominant forces between covalently bonded, non-polar molecules based on the formation of instantaneous dipoles. the more electrons in a molecule, the stronger the force. Relationship of Boiling Point to Number of Electrons and Molar Mass Melting Point Boiling Point # e°C °C CH4 C2H6 C3H8 C4H10 C8H18 10 18 26 34 66 - 182 - 183 - 190 - 138 - 57 -161 - 88 - 44 - 0.5 +125 London dispersion forces are influenced by shape: Normal Pentane (C5H12) m.p. -130C, b.p. 36°C Neopentane (C5H12) m.p. -20°C, b.p. 9°C Dipole-Dipole attraction is a force which acts between polar molecules (ex. H2S). results from the attraction of the opposite poles of the permanent molecular dipoles. These substances generally have higher melting and boiling points than non-polar molecules with similar molecular weights (or numbers of electrons). Ion-Dipole Interactions A fourth type of force, ion-dipole interactions are an important force in solutions of ions. The strength of these forces are what make it possible for ionic substances to dissolve in polar solvents. Dipole-Dipole Interactions The more polar the molecule, the higher is its boiling point. How Do We Explain This? The nonpolar series (SnH4 to CH4) follow the expected trend. The polar series follows the trend from H2Te through H2S, but water is quite an anomaly. Hydrogen Bonding a specialized form of dipole-dipole attraction. It occurs as when O, N, and F are bonded to H, owing to the large electronegativity difference: O - H 3.5 - 2.1 = 1.4 N - H 3.1 - 2.1 = 1.0 F - H 4.1 - 2.1 = 2.0 Hydrogen Bonding This is a stronger force than standard dipole-dipole attraction. Molecules with hydrogen bonding will have boiling points and melting points quite a bit higher than molecules that have only dipole-dipole or London dispersion forces. Hydrogen bonding is responsible for many of the unusual properties of water. Hydrogen bonding is responsible for folding, final structure and function of proteins holds the DNA strands together, but allows them to be unzipped for copying and gene expression. Relationship Between Polarity, Force and Boiling Point # e- B.P. (°C) Polarity C2H6 18 - 161 H2S 18 - 60 H2O 10 + 100 Force Non-polar London Dispersion Polar Dipole - Dipole Very polar Hydrogen Bonds In Summary Non-Polar Molecule London Dispersion Force More electrons, higher B.P., M.P. If isoelectronic, more compact higher M.P., lower B.P. Polar Molecule Dipole-Dipole Attraction Higher B.P. & M.P. than London If both polar, higher electronegativity difference has higher B.P. & M.P If have O-H, N-H, or F-H bond, hydrogen bonding, much higher M.P. & B.P Ionic Bonding generally occurs in compounds of metals and non-metals (salts). It is the result of the attraction of oppositely charged ions. The structures formed are very orderly and are given the name crystal lattice. Ionic solids are called crystals. Ionic Bonding No sharing of electrons occurs between the ions in the crystal lattice. As a result, ionic solids are brittle. Ionic solids conduct electricity only in the molten state, and not very well. Ionic solids are characterized by very high melting and boiling points. Metallic Bonding is the bonding which occurs between metals in the Periodic Table. It is characterized by close packing of the atoms, with the electrons delocalized; that is, they are free to jump from atom to atom, filling unoccupied orbitals. Metallic Bonding This free sharing of electrons allows metals to conduct electricity freely (copper conducts electricity 100 000 times better than molten NaCl). The free electrons also act as a lubricant, allowing metal atoms to slide over one another without affecting the integrity of the material. Thus metals are malleable and ductile. This bond is strong, giving most metals high melting and boiling points. This bond is also variable. Network Covalent Bonding regular covalent bond, expanded to 2 or 3 dimensions in a network which is theoretically infinite Network solids include diamonds, graphite, quartz, and most rocks. very hard (diamonds are the hardest substance known). brittle, do not conduct electricity. crystals. very high melting and boiling points Intermolecular Forces Affect Many Physical Properties The strength of the attractions between particles can greatly affect the properties of a substance or solution. Viscosity • Resistance of a liquid to flow is called viscosity. • It is related to the ease with which molecules can move past each other. • Viscosity increases with stronger intermolecular forces and decreases with higher temperature. Surface Tension Surface tension results from the net inward force experienced by the molecules on the surface of a liquid. Vapor Pressure • At any temperature, some molecules in a liquid have enough energy to escape. • As the temperature rises, the fraction of molecules that have enough energy to escape increases. Intermolecular Forces in Summary Strength of Attraction Molecular (London dispersion) Molecular (dipole-dipole) Molecular (hydrogen bonding) Ionic 1 to 50 Metallic 20 to 80 Network Covalent 5 15 50 100 Melting and Boiling Point Molecular (London dispersion) very low (nitrogen boils at - 196 C) VARIABLE Molecular (dipole-dipole) Molecular (hydrogen bonding) low (H2S boils at -61 C) Ionic high (NaCl boils at +1413 C) variable (Hg @ +357 C, W @ +5660 C) Metallic Network Covalent medium (H2O boils at +100 C) very high (SiO2 boils at 2600 C) Properties of Solids Molecular (London dispersion) soft, waxy Molecular (dipole-dipole) Molecular (hydrogen bonding) more rigid Ionic long-range crystalline, hard, brittle short-range crystalline, ductile, malleable Metallic Network Covalent crystalline, brittle long-range crystalline, hard, brittle Conductance of Heat and Electricity Molecular (London dispersion) non-conductor Molecular (dipole-dipole) Molecular (hydrogen bonding) non-conductor Ionic conductor in liquid or dissolved phase conductor in solid or liquid phase Metallic Network Covalent non-conductor non-conductor in 3d form, some conductance in 2d Solubility in H2O Molecular (London dispersion) Not soluble Molecular (dipole-dipole) Molecular (hydrogen bonding) Soluble Ionic Soluble Metallic Not soluble Network Covalent Not soluble Soluble Other Stuff Coordinate Covalent bonds is defined as a covalent bond where one atom provides both of the electrons: Polyatomic Ions we can use coordinate covalent bond theory to explain most ions: Resonance This is the Lewis structure we would draw for ozone, O3. + - Resonance But this is at odds with the true, observed structure of ozone, in which… …both O—O bonds are the same length. …both outer oxygens have a charge of 1/2. Resonance One Lewis structure cannot accurately depict a molecule such as ozone. We use multiple structures, resonance structures, to describe the molecule. Resonance Just as green is a synthesis of blue and yellow… …ozone is a synthesis of these two resonance structures. Resonance In truth, the electrons that form the second C—O bond in the double bonds below do not always sit between that C and that O, but rather can move among the two oxygens and the carbon. They are not localized, but rather are delocalized. Resonance The organic compound benzene, C6H6, has two resonance structures. It is commonly depicted as a hexagon with a circle inside to signify the delocalized electrons in the ring.