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Chemical Bonding I: Basic Concepts

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1 Chemical Bonding I: Basic Concepts
Chapter 9 Copyright © The McGraw-Hill Companies, Inc.  Permission required for reproduction or display.

2 Topics: Lewis Dot symbols The ionic bond Lattice energy of ionic compound Electronegativity Writing Lewis structure Formal charge and Lewis structure Thee concept of resonance Bond energy

3 Lewis Dot symbols • keep track of valence electrons as dots Examples: Na • and :C: • Elements in a group: – have similar Lewis symbols – have same number of valence electrons

4 Valence electrons are the outer shell electrons of an
atom. The valence electrons are the electrons that participate in chemical bonding. Group # of valence e- e- configuration 1A 1 ns1 2A 2 ns2 3A 3 ns2np1 4A 4 ns2np2 5A 5 ns2np3 6A 6 ns2np4 7A 7 ns2np5 9.1

5 Lewis Dot Symbols for the Representative Elements &
Noble Gases 9.1

6 Group practice problem of chap9:Q1
What are the correct Lewis dot symbols of (A)F,F-, (B)S,S2-, (C) O,O2-, (D) N,N3-? Group practice problem of chap9:Q1

7 The Ionic Bond - Chemical Bonds Two general types:
• Ionic bonds---- between ions of opposite charges • Covalent bonds---- sharing of electrons The Ionic Bond Li + F Li+ - 1s22s1 1s22s22p5 1s2 1s22s22p6 [He] [Ne] Li+ + e- e- + Li+ + 9.2

8 The Octet Rule Atoms tend to gain, lose, or share electrons until they are surrounded by 8 valence electrons. An octet = 8 electrons = 4 pairs of electrons = noble gas arrangement = very stable Exception: H = 2 electrons only Example: Na [Ne]3s1 loses 1 e----> Na+ [Ne] Cl [Ne]3s23p5 gains 1 e- --> Cl- [Ar]

9 Electrostatic (Lattice) Energy
Lattice energy (E) is the energy required to completely separate one mole of a solid ionic compound into gaseous ions. Elattice LiF(s) Li+(g) + F-(g) E = k Q+Q- r Q+ is the charge on the cation Q- is the charge on the anion r is the distance between the ions cmpd lattice energy MgF2 MgO 2957 3938 Q= +2,-1 Q= +2,-2 Lattice energy (E) increases as Q increases and/or as r decreases. LiF LiCl 1036 853 r F- < r Cl- 9.3

10 • Elattice increases as Charge on ions increases
Lattice Energy • Elattice increases as Charge on ions increases • Elattice decreases as inter-ionic distances increase (charge is much more important than distance) Size increase E decrease Q1=1;Q2=1 Q1=2;Q2=1 9.3

11 Practice problem of chap9:Q2
Which of the following is a correct order of lattice energy? NaCl < AlCl3 < MgCl2 (b) LiF < LiCl < LiBr (c) Na2O < MgO < Al2O3 (d) Ga2O3 < CaO < K2O (e) LiCl < NaCl < KCl Lattice Energy • Elattice increases as Charge on ions increases • Elattice decreases as inter-ionic distances increase (charge is much more important than distance) Practice problem of chap9:Q2

12 Born-Haber Cycle for Determining Lattice Energy
Lattice energy (E) is the energy required to completely separate one mole of a solid ionic compound into gaseous ions. For an ionic compound the lattice enthalpy is the heat energy released when one mole of solid in its standard state is formed from its ions in the gaseous state. Li+(g) + F-(g) LiF(s) ΔH0=- Elattice This value cannot be determined directly and so we make use of changes for which data are available and link them together with an enthalpy cycle. This enthalpy cycle is based on the formation of the compound from its elements in their standard states. Hess’s Law

13 Consider the reaction: Li(s) +1/2 F2(g) LiF(s)
Li(s) Li(g) DH01 =155.2 kJ/mol ½ F2(g) F(g) DH02 =75.3 kJ/mol Li(g) Li+(g) +e- DH03=520 kJ/mol F(g) + e F-(g) DH04=-328 kJ/mol Li+(g) + F-(g) LiF(s) DH05=? Li(s) + ½ F2(g) LiF(s) DH0overall = KJ/mol DHoverall = DH1 + DH2 + DH3 + DH4 + DH5 o DH05=?=-1017KJ/mol Lattice energy of LiF is 1017KJ/mol *Lattice energy is always a positive quantity.

14 Why should two atoms share electrons?
A covalent bond is a chemical bond in which two or more electrons are shared by two atoms. Why should two atoms share electrons? 7e- 7e- 8e- 8e- F F + F Lewis structure of F2 lone pairs F single covalent bond single covalent bond F 9.4

15 Lewis structure of water
single covalent bonds 2e- 8e- 2e- H + O + H O H or Double bond – two atoms share two pairs of electrons 8e- 8e- 8e- double bonds O C or O C double bonds Triple bond – two atoms share three pairs of electrons triple bond 8e- N 8e- or N triple bond 9.4

16 Lengths of Covalent Bonds
Bond Lengths Triple bond < Double Bond < Single Bond Bond strength: triple > double> single 9.4

17 9.4

18 Bond polarity Polar covalent bond or polar bond is a covalent bond with greater electron density around one of the two atoms e- poor e- rich electron rich region H F electron poor region F H d+ d- Electron density is pulled more tightly around the F end of the molecule. Nonpolar bond: two identical atoms form a bond & equally share the bond’s electron pair 9.5

19 Electron Affinity - measurable
Electronegativity is the ability of an atom to attract toward itself the electrons in a chemical bond. Electron Affinity - measurable X (g) + e X-(g) Electronegativity - relative, F is highest • the term used to describe the relative attraction of an atom for the electrons in a bond • a mathematical average of IE and EA • Atom of the bond with the greater electronegativity will carry the partial negative charge 9.5

20 Practice problem of chap9:Q4
Which of the following is a polar covalent bond? The HN bond in NH3. (b) The SiSi bond in Cl3SiSiCl3. (c) The CaF bond in CaF2. (d) The OO bond in O2. (e) The NN bond in H2NNH2. Practice problem of chap9:Q4

21 The Electronegativities of Common Elements
9.5

22 Variation of Electronegativity with Atomic Number
9.5

23 Electronegativity: • The most electronegative element: F (4.0) • Next most electronegative element: O (3.5) • Next two most electronegative: N (3.0) and Cl (3.0) • Least electronegative element: Cs (0.7) Also H (2.1) C (2.5) Na (0.9)

24 Classification of bonds by difference in electronegativity
Bond Type Covalent  2 Ionic 0 < and <2 Polar Covalent Increasing difference in electronegativity Covalent share e- Polar Covalent partial transfer of e- Ionic transfer e- H-H HCl NaCl 9.5

25 Practice problem of chap9:Q11
Classify the following bonds as ionic, polar covalent, or covalent: The bond in CsCl; the bond in H2S; and the NN bond in H2NNH2. Cs – 0.7 Cl – 3.0 3.0 – 0.7 = 2.3 Ionic H – 2.1 S – 2.5 2.5 – 2.1 = 0.4 Polar Covalent N – 3.0 N – 3.0 3.0 – 3.0 = 0 Covalent Practice problem of chap9:Q11 9.5

26 Writing Lewis Structures
Draw skeletal structure of compound showing what atoms are bonded to each other. Put least electronegative element in the center. Arrange atoms & connect with single bonds – Single bond = 2 electrons 2. Count total number of valence e-. Add 1 for each negative charge. Subtract 1 for each positive charge. 3. Complete an octet for atoms bonded to the central atom except hydrogen (H=2). Then add leftover electrons to central atom. Electrons belonging to the central or surrounding atoms must be shown as lone pairs if they are not involved in bonding. 4. If the central atom has fewer than 8 electrons, try adding double and triple bonds on central atom as needed. 9.6

27 5 + (3 x 7) = 26 valence electrons
Write the Lewis structure of nitrogen trifluoride (NF3). Step 1 – N is less electronegative than F, put N in center Step 2 – Count valence electrons N - 5 (2s22p3) and F - 7 (2s22p5) 5 + (3 x 7) = 26 valence electrons Step 3 – Draw single bonds between N and F atoms and complete octets on N and F atoms. Step 4 - Check, are # of e- in structure equal to number of valence e- ? 3 single bonds (3x2) + 10 lone pairs (10x2) = 26 valence electrons F N 9.6

28 4 + (3 x 6) + 2 = 24 valence electrons
Write the Lewis structure of the carbonate ion (CO32-). Step 1 – C is less electronegative than O, put C in center Step 2 – Count valence electrons C - 4 (2s22p2) and O - 6 (2s22p4) -2 charge – 2e- 4 + (3 x 6) + 2 = 24 valence electrons Step 3 – Draw single bonds between C and O atoms and complete octet on C and O atoms. Step 4 - Check, are # of e- in structure equal to number of valence e- ? 3 single bonds (3x2) + 10 lone pairs (10x2) = 26 valence electrons Step 5 - Too few electrons, form double bond and re-check # of e- 2 single bonds (2x2) = 4 1 double bond = 4 8 lone pairs (8x2) = 16 Total = 24 O C 9.6

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30 Formal Charge • Another way (other than Oxidation Number) to keep track of electron density • Big difference: – Oxidation number divides shared electrons unequally – Formal charge divides shared electrons equally An atom’s formal charge is the difference between the number of valence electrons in an isolated atom and the number of electrons assigned to that atom in a Lewis structure.

31 An atom’s formal charge is the difference between the number of valence electrons in an isolated atom and the number of electrons assigned to that atom in a Lewis structure. formal charge on an atom in a Lewis structure = total number of valence electrons in the free atom - total number of nonbonding electrons - 1 2 total number of bonding electrons ( ) FC = [ Val. e-] -[(nonbonded e-) + 1/2(bonded e-)] The sum of the formal charges of the atoms in a molecule or ion must equal the charge on the molecule or ion. • Remember: formal charges are NOT real charges 9.7

32 Practice problem of chap9:Q12

33 Formal Charge and Lewis Structures
For neutral molecules, a Lewis structure in which there are no formal charges is preferable to one in which formal charges are present. Lewis structures with large formal charges are less plausible than those with small formal charges. Among Lewis structures having similar distributions of formal charges, the most plausible structure is the one in which negative formal charges are placed on the more electronegative atoms. Which is the most likely Lewis structure for CH2O? H C O -1 +1 H C O 9.7

34 ( ) - -1 +1 H C O = 1 2 = 4 - 2 - ½ x 6 = -1 = 6 - 2 - ½ x 6 = +1
C – 4 e- O – 6 e- 2H – 2x1 e- 12 e- 2 single bonds (2x2) = 4 1 double bond = 4 2 lone pairs (2x2) = 4 Total = 12 H C O formal charge on an atom in a Lewis structure = 1 2 total number of bonding electrons ( ) total number of valence electrons in the free atom - total number of nonbonding electrons formal charge on C = 4 - 2 - ½ x 6 = -1 formal charge on O = 6 - 2 - ½ x 6 = +1 9.7

35 ( ) - H C O = 1 2 = 4 - 0 - ½ x 8 = 0 = 6 - 4 - ½ x 4 = 0 C – 4 e-
H C O C – 4 e- O – 6 e- 2H – 2x1 e- 12 e- 2 single bonds (2x2) = 4 1 double bond = 4 2 lone pairs (2x2) = 4 Total = 12 formal charge on an atom in a Lewis structure = 1 2 total number of bonding electrons ( ) total number of valence electrons in the free atom - total number of nonbonding electrons formal charge on C = 4 - 0 - ½ x 8 = 0 formal charge on O = 6 - 4 - ½ x 4 = 0 9.7

36 Resonance Structures • Why necessary? • Lewis structures are not adequate • More than one Lewis Structure is needed to represent the real molecule A resonance structure is one of two or more Lewis structures for a single molecule that cannot be represented accurately by only one Lewis structure. Example: experimentally, ozone has two identical bonds whereas the Lewis Structure requires one single (longer) and one double bond (shorter). O + - O + -

37 Resonance in Benzene: C6H6
Resonance Structures: • connect different resonance structures with <--> • actual molecule is not depicted by resonance structures • actual molecule does not go between resonance structures • Molecules that can be depicted by resonance structures are more stable than expected Resonance in Benzene: C6H6 9.8

38 Practice problem of chap9:Q12, 7
What are the resonance structures of the carbonate (CO32-) ion? O C - O C - O C - Which of the following has resonance structure? NH4+ (b) CO2 (c) AlI3 (d) C6H6 (e) H2O Practice problem of chap9:Q12, 7 9.8

39

40 Exceptions to the Octet Rule
The Incomplete Octet (too few electrons on central atom) Be – 2e- 2H – 2x1e- 4e- BeH2 H Be B – 3e- 3F – 3x7e- 24e- 3 single bonds (3x2) = 6 9 lone pairs (9x2) = 18 Total = 24 F B BF3 9.9

41 Exceptions to the Octet Rule
Odd-Electron Molecules Result: unpaired electron N – 5e- O – 6e- 11e- NO N O The Expanded Octet (too many e- on central atom; central atom with principal quantum number n > 2) S F S – 6e- 6F – 42e- 48e- 6 single bonds (6x2) = 12 18 lone pairs (18x2) = 36 Total = 48 SF6 9.9

42 Practice problem of chap9:Q3,9
Which of the following is correct concerning the lone pairs on the underlined atoms in compounds? ICl, 3 (b) H2S, 6 (c) CH4, 4 (d) CaH2, 2 (e) SCl2, 4 Which of the following obeys the octet rule? BF3 (b) SF4 (c) NO (d) PF5 (e) NO3- F B Practice problem of chap9:Q3,9

43 Single bond < Double bond < Triple bond
Bond energy The enthalpy change required to break a particular bond in one mole of gaseous molecules is the bond energy. Bond Energy H2 (g) H (g) + DH0 = kJ Cl2 (g) Cl (g) + DH0 = kJ HCl (g) H (g) + Cl (g) DH0 = kJ O2 (g) O (g) + DH0 = kJ O N2 (g) N (g) + DH0 = kJ N Bond Energies Single bond < Double bond < Triple bond 9.10

44 Average bond energy in polyatomic molecules
H2O (g) H (g) + OH (g) DH0 = 502 kJ OH (g) H (g) + O (g) DH0 = 427 kJ Average OH bond energy = 2 = 464 kJ 9.10

45 Bond Energies (BE) and Enthalpy changes in reactions
Imagine reaction proceeding by breaking all bonds in the reactants and then using the gaseous atoms to form all the bonds in the products. DH0 = total energy input – total energy released = SBE(reactants) – SBE(products) Endothermic reaction Exothermic reaction 9.10

46 H2 (g) + Cl2 (g) HCl (g) 2H2 (g) + O2 (g) H2O (g) 9.10

47 Use bond energies to calculate the enthalpy change for:
H2 (g) + F2 (g) HF (g) DH0 = SBE(reactants) – SBE(products) Type of bonds broken Number of bonds broken Bond energy (kJ/mol) Energy change (kJ) H 1 436.4 F 1 156.9 Type of bonds formed Number of bonds formed Bond energy (kJ/mol) Energy change (kJ) H F 2 568.2 1136.4 DH0 = – 2 x = kJ Practice problem of chap9:Q9 9.10

48 O C (A) (B) (C) (D) -2 O C -2 O O H Ca H S O C - N N Cl S Cl F F -2 -2
-3 N Cl S Cl -1 F F

49 Cl S Cl Cl S Cl H Cl C Cl S Cl Cl S Cl Cl C H Cl C H Cl C H

50 Cl N Cl O C O Cl N Cl Cl Cl O C O Cl N Cl Cl N Cl O C O Cl Cl C O N C H N C H N C H N C H

51 O C -2 O C -2 O C -2 O C -2


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