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Bonding – General Concepts

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1 Bonding – General Concepts

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6 What is a Bond? A force that holds atoms together.
We will look at it in terms of energy. Bond energy - the energy required to break a bond. Why are compounds formed? Because it gives the system the lowest energy.

7 Ionic Bonding An atom with a low ionization energy reacts with an atom with high electron affinity. The electron moves. Opposite charges hold the atoms together.

8 Electronegativity: The ability of an atom in a molecule to attract shared electrons to itself.

9 Electronegativity difference Bond Type Zero Covalent Covalent Character decreases Ionic Character increases Polar Covalent Intermediate Ionic Large

10 Ionic Bonds Electrons are transferred
Electronegativity differences are generally greater than 1.7 The formation of ionic bonds is always exothermic!

11 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

12 Coulomb’s Law Q is the charge. r is the distance between the centers.
If charges are opposite, E is negative exothermic Same charge, positive E, requires energy to bring them together. endothermic

13 Size of ions Ion size increases down a group.
Cations are smaller than the atoms they came from. Anions are larger. across a row they get smaller, and then suddenly larger. First half are cations. Second half are anions.

14 Periodic Trends Li+1 Be+2 B+3 C+4 N-3 O-2 F-1
Across the period nuclear charge increases so they get smaller. Energy level changes between anions and cations. Li+1 Be+2 B+3 C+4 N-3 O-2 F-1

15 Ionic Compounds We mean the solid crystal.
Ions align themselves to maximize attractions between opposite charges, and to minimize repulsion between like ions. Can stabilize ions that would be unstable as a gas. React to achieve noble gas configuration

16 Forming Ionic Compounds
Lattice energy - the energy associated with making a solid ionic compound from its gaseous ions. M+(g) + X-(g) ® MX(s) This is the energy that “pays” for making ionic compounds. Energy is a state function so we can get from reactants to products in a round about way.

17 Estimate Hf for Sodium Chloride
Na(s) + ½ Cl2(g)  NaCl(s) Lattice Energy: Na+(g) + Cl-(g)  NaCl(s) -786 kJ/mol Ionization Energy for Na: Na(g)  Na+(g) + e- 495 kJ/mol Electron Affinity for Cl: Cl(g) + e-  Cl-(g) -349 kJ/mol Bond energy of Cl2: Cl2(g)  2Cl(g) 239 kJ/mol Enthalpy of sublimation for Na: Na(s)  Na(g) 109 kJ/mol

18 Estimate Hf for Sodium Chloride
Na(s) + ½ Cl2(g)  NaCl(s) Lattice Energy -786 kJ/mol Ionization Energy for Na 495 kJ/mol Electron Affinity for Cl -349 kJ/mol Bond energy of Cl2 239 kJ/mol Enthalpy of sublimation for Na 109 kJ/mol Na+(g) + Cl-(g)  NaCl(s) kJ Na(g)  Na+(g) + e kJ ½ Cl2(g)  Cl(g) ½(239 kJ) Cl(g) + e-  Cl-(g) kJ Na(s)  Na(g) kJ Na(s) + ½ Cl2(g)  NaCl(s) kJ/mol

19 Lattice Energies of Alkali Metals Halides (kJ/mol)
Cl- Br- I- Li+ 1036 853 807 757 Na+ 923 787 747 704 K+ 821 715 682 649 Rb+ 785 689 660 630 Cs+ 740 659 631 604 Lattice Energies of Salts of the OH- and O2- Ions (kJ/mol) OH- O2- Na+ 900 2481 Mg2+ 3006 3791 Al3+ 5627 15,916

20 Try number 57 from Zumdahl-Zumdahl

21 What about covalent compounds?
The electrons in each atom are attracted to the nucleus of the other. The electrons repel each other, The nuclei repel each other. They reach a distance with the lowest possible energy. The distance between is the bond length.

22 Covalent Bonds Polar-Covalent bonds Nonpolar-Covalent bonds
Electrons are unequally shared Electronegativity difference between .3 and 1.7 Nonpolar-Covalent bonds Electrons are equally shared Electronegativity difference of 0 to 0.3

23 Covalent Bonding Forces
Electron – electron repulsive forces Proton – proton repulsive forces Electron – proton attractive forces

24 Bond Length Diagram

25 Bond Order and Bond lengths
Bond Order (B.O.): describes if a bond is single (B.O. = 1), double (B.O. = 2), triple (B.O. = 3), or some intermediate value (structures with resonance). This is concept that we will return to, later in this chapter. Bond Length: the distance between the centers of two atoms joined by a covalent bond. Higher bond order corresponds to shorter bond lengths, and, in general, to stronger bonds. Bond Order and Bond lengths 25

26 Bond Order and Bond lengths
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27 Bond-dissociation energy (D): the quantity of energy required to break one mole of covalent bonds in a gaseous species, usually expressed in kJ/mol. Bond Energies Bond Breakage: H2(g)  2 H(g) DH = D(H-H) = kJ/mol Bond Formation: 2 H(g)  H2(g) DH = -D(H-H) = kJ/mol 27

28 Bond Energies Average bond energy: the average of bond dissociation energies for a number of different species containing a particular covalent bond. In H2O, more energy is required to break the first bond than the second. The second bond broken is the O-H radical. The O-H bond energy in H2O is the average of the two values: kJ/mol. Bond Breakage: H-OH (g)  H(g) + OH(g) DH = kJ/mol Bond Breakage: O-H (g)  H(g) + O(g) DH = kJ/mol 28

29 Bond Energies 29

30 Calculation of enthalpy of reaction from bond energies
Hypothetically, thermochemical data can be obtained from: gaseous reactants  gaseous atoms  gaseous products Calculation of enthalpy of reaction from bond energies Some of the BE are likely to be average bond energies rather than bond dissociation energies. 30

31 Calculation of enthalpy of reaction from bond energies
Note: In calculating DH for this reaction, some of the terms cancel out because the same bond types appear as both reactants and products (black bonds above). Only the net number and types of bonds broken (red bonds above) and formed (blue bonds above) are included in the calculation. 31

32 Calculation of enthalpy of reaction from bond energies
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33 Try number 65 from Zumdahl-Zumdahl

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38 Fundamental Properties of Models
A model does not equal reality. Models are oversimplifications, and are therefore often wrong. We must understand the underlying assumptions in a model so that we don’t misuse it.

39 The Octet Rule Combinations of elements tend to form so that each atom, by gaining, losing, or sharing electrons, has an octet of electrons in its highest occupied energy level. Diatomic Fluorine

40 Comments About the Octet Rule
2nd row elements C, N, O, F observe the octet rule. 2nd row elements B and Be often have fewer than 8 electrons around themselves - they are very reactive. 3rd row and heavier elements CAN exceed the octet rule using empty valence d orbitals. When writing Lewis structures, satisfy octets first, then place electrons around elements having available d orbitals.

41 Lewis Structures  Shows how valence electrons are arranged among atoms in a molecule.  Reflects central idea that stability of a compound relates to noble gas electron configuration.

42 Resonance  Resonance is invoked when more than one valid Lewis structure can be written for a particular molecule. Benzene, C6H6   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.

43 Resonance Bond Length and Bond Energy
 Resonance bonds are shorter and stronger than single bonds.   Resonance bonds are longer and weaker than double bonds.

44 Resonance in Polyatomic Ions
Resonance in a carbonate ion: Resonance in an acetate ion:

45 Localized Electron Model
Lewis structures are an application of the “Localized Electron Model” L.E.M. says: Electron pairs can be thought of as “belonging” to pairs of atoms when bonding Resonance points out a weakness in the Localized Electron Model.

46 VSEPR – Valence Shell Electron Pair Repulsion
X + E Overall Structure Forms 2 Linear AX2 3 Trigonal Planar AX3, AX2E 4 Tetrahedral AX4, AX3E, AX2E2 5 Trigonal bipyramidal AX5, AX4E, AX3E2, AX2E3 6 Octahedral AX6, AX5E, AX4E2 A = central atom X = atoms bonded to A E = nonbonding electron pairs on A

47 VSEPR: Linear AX2 CO2

48 VSEPR: Trigonal Planar
AX3 BF3 AX2E SnCl2

49 VSEPR: Tetrahedral AX4 CCl4 AX3E PCl3 AX2E2 Cl2O

50 VSEPR: Trigonal Bi-pyramidal
AX5 PCl5 AX4E SF4 AX3E2 ClF3 AX2E3 I3-

51 VSEPR: Octahedral AX6 SF6 AX5E BrF5 AX4E2 ICl4-


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