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Chemical Bonding & Molecular Structure

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1 Chemical Bonding & Molecular Structure
CHEMISTRY 161 Chapter 10 Chemical Bonding & Molecular Structure

2 PREDICTING THE GEOMETRY OF MOLECULES
1. derive Lewis structure of the molecule 2. discriminate between bonding and non-bonding electron pairs O H 3. VALENCE SHELL ELECTRON PAIR REPULSION

3 2. electrons repel each other
VALENCE SHELL ELECTRON PAIR REPULSION VSEPR 1. identify in a compound the central atom 2. electrons repel each other 3. valence electron pairs stay as far apart as possible 4. non-bonding electrons repel more than bonding electrons

4 central atom no non-bonding pairs non-bonding pairs

5 TWO ELECTRON PAIRS AROUND BERYLLIUM ATOM
AB2 BeCl2 Cl Be Cl TWO ELECTRON PAIRS AROUND BERYLLIUM ATOM

6 LINEAR ARRANGEMENT BEST
Cl Be Be 180° Be 90° 270° LINEAR ARRANGEMENT BEST IT PUTS ELECTRON PAIRS FURTHEST APART

7 THREE ELECTRON PAIRS AROUND THE BORON ATOM
AB3 BF3 F F B F THREE ELECTRON PAIRS AROUND THE BORON ATOM

8 THREE ELECTRON PAIRS AROUND THE BORON ATOM
F B THREE ELECTRON PAIRS AROUND THE BORON ATOM TRIGONAL PLANAR ARRANGEMENT BEST B 120°

9 MOLECULAR SHAPE F B F F THE SHAPE OF BF3 IS TRIGONAL PLANAR.

10 AB4 CH4 H C four electron pairs expect square planar 90° C

11 better arrangement for four electron pairs
TETRAHEDRAL C 109.5° bigger than 90 ° in square planar tetrahedral 4 electron pairs put on the H-atoms

12 TETRAHEDRAL H C C 109.5° H H H shape of CH4 is tetrahedral

13 AB5 PF5 FIVE ELECTRON PAIRS AROUND PHOSPHORUS P F P 5 electron pairs
trigonal bipyramidal

14 shape of PF5 is trigonal bipyramidal
Bond angle F 900 F P F P F 1200 F shape of PF5 is trigonal bipyramidal two of the F atoms different from the others

15 AXIAL Bond angle F 900 F F P F 1200 EQUATORIAL F

16 AB6 six electron pairs around the sulfur atom SF6 F F F S S F F F
octahedral

17 900 F F F S S F F F shape of SF6 is octahedral

18 central atom no non-bonding pairs non-bonding pairs

19 AB2E AB3 SeO2 O Se O

20 VSEPR treats double bonds like a single bond O Se
THREE ELECTRON PAIRS AROUND SELENIUM ELECTRON PAIR GEOMETRY Se TRIGONAL PLANAR

21 THE MOLECULAR SHAPE IS THE POSITION OF THE ATOMS
Se O Se ADD OXYGENS SeO2 IS V-SHAPED (OR BENT) THE MOLECULAR SHAPE IS THE POSITION OF THE ATOMS

22 electron pairs around the nitrogen atom
AB3E AB4 H N H NH3 H electron pairs around the nitrogen atom

23 NH3 is trigonal pyramidal
PUT ON THE 3 H ATOMS N H H H NH3 is trigonal pyramidal

24 four electron pairs around the oxygen atom
AB2E2 AB4 H O H four electron pairs around the oxygen atom PUT ON THE 2 H-ATOMS O O H H shape of H2O is V-shaped or bent

25 AB4E AB5 SF4 S F F F S F TRIGONAL BIPYRAMID

26 WHERE DOES LONE PAIR GO? OR
F S F OR lone pairs occupy the trigonal plane (the “equator”) to minimize the number of 90° repulsions

27 AB4E AB3E2 AB2E3 SF4 1 lone pair See-saw shaped ClF3 2 lone pairs T-shaped XeF2 3 lone pairs Linear F F F F Xe S Cl F F F F F F lone pairs occupy the trigonal plane (the “equator”) first to minimize the number of 90° repulsions

28 AB5E AB6 BrF5 Br F Br Square pyramidal

29 AB6 AB4E2 XeF4 Xe F : Xe Xe F : Xe F lone pairs MUST BE AT 1800

30 Total valence electron pairs Electron Pair Geometry
Summary of Molecular Shapes Total valence electron pairs Electron Pair Geometry Lone electron pairs Shape of Molecule 2 Linear Linear Trigonal planar Trigonal planar 3 1 V-shaped Tetrahedral 4 Tetrahedral 1 Trigonal pyramid 2 V-shaped

31 Total valence electron pairs Electron Pair Geometry
Lone electron pairs Shape of Molecule Trig. bipyramid. 1 See-saw Trigonal bipyramidal 5 2 T-shaped 3 Linear Octahedral 6 Octahedral 1 Square pyramid 2 Square planar

32 POLYATOMICS molecules with no single central atom we apply our VSEPR rules to each atom in the chain Example: ETHANOL

33 ETHANOL C2H5OH O C H The atoms around the carbons form a.
tetrahedral arrangement The atoms around the oxygen form a V-shaped structure.

34 H C O

35 EXAMPLES BF4- ICl4- Cl2O SO2Cl2 Cl2CO Cl2SO N2F2 NH4+ NH2OH

36 1. Lewis structures 2. VSEPR model WHY DO MOLECULES FORM?

37 two H-atoms approach each other and the electron waves interact
simplest molecule H2 two H-atoms 1s1 two H-atoms approach each other and the electron waves interact OVERLAP to form a region of increased electron density between the atoms

38

39

40 chemical bond with electron density in between the nuclei is called

41 VALENCE BOND THEORY a covalent bond is formed by an overlap of two valence atomic orbitals that share an electron pair the better the overlap the stronger the bond the orbitals need to point along the bonds

42 hydrogen atoms bond using their 1s orbitals
C H CH4 What orbitals are used? hydrogen atoms bond using their 1s orbitals carbon needs four orbitals to bond with. [He] 2s22p2 2s, 2px , 2py, 2pz

43 1. The electronic configuration of carbon is
[He] 2s22p2 The orbital diagram is:

44 1. The electronic configuration of carbon is
[He] 2s22p2 the orbital diagram is: [He] C . the Lewis dot structure is necessary to promote one 2s electron

45 PROMOTE AN ELECTRON [He] [He] [He] 2s22p2 [He] 2s12p3 excited state (valence state) C Lewis dot structure four unpaired electrons we can use these to form chemical bonds

46 experiment shows that methane has 109.5° bond angles
1. a covalent bond is formed by an overlap of two valence atomic orbitals that share an electron pair 2. bonds formed with s orbitals will be different to bonds formed with p orbitals Experiment shows that all four bonds are identical 3. three p orbitals are mutually perpendicular, suggesting 90° bond angles experiment shows that methane has 109.5° bond angles combining the orbitals

47 we need four orbitals pointing to the vertices of a tetrahedron
orbitals are just mathematical functions C H we can combine them HYBRIDIZATION

48 COMBINING ORBITALS TO FORM HYBRIDS
HYBRIDIZATION number of atomic orbitals that are combined IS EQUAL TO the number of resulting hybrid orbitals

49 HYBRIDIZATION + + 2s+ 2p Combine one s and one p a sp- hybrid
ADD the orbitals + 2s+ 2p

50 HYBRIDIZATION + + 2s+ 2p Combine one s and one p a sp- hybrid s + p
What do we get? + The positive part cancels negative part DESTRUCTIVE INTERFERENCE The positive part adds to positive part CONSTRUCTIVE INTERFERENCE

51 HYBRIDIZATION + 2s+ 2p Combine one s and one p to give a sp- hybrid
Where is the nucleus? + REMEMBER IF WE MIX TWO WE MUST GET TWO BACK The other combination is s - p

52 HYBRIDIZATION + + 2s- 2p Combine one s and one p a sp- hybrid
SUBTRACT the orbitals 2s- 2p

53 SUBTRACTING THE p ORBITAL CHANGES ITS PHASE
HYBRIDIZATION Combine one s and one p a sp- hybrid SUBTRACTING THE p ORBITAL CHANGES ITS PHASE + + SUBTRACT the orbitals 2s- 2p

54 SUBTRACTING THE p ORBITAL CHANGES ITS PHASE
HYBRIDIZATION Combine one s and one p a sp- hybrid SUBTRACTING THE p ORBITAL CHANGES ITS PHASE + + SUBTRACT the orbitals 2s- 2p

55 HYBRIDIZATION + + 2s- 2p Combine one s and one p a sp- hybrid s - p
What do we get? + The positive part cancels negative part DESTRUCTIVE INTERFERENCE The positive part adds to positive part CONSTRUCTIVE INTERFERENCE

56 We get two equivalent sp orbitals
HYBRIDIZATION Combine one s and one p a sp- hybrid s - p 2s- 2p Where is the nucleus? + The positive part cancels negative part We get two equivalent sp orbitals ORIENTED AT 1800

57 sp-HYBRIDIZATION s and p orbitals two sp-hybrids

58 COMBINE one s-orbital and two p-orbitals
Get three sp2 - orbitals oriented at 1200 s and p orbitals three sp2-hybrids directed at 1200

59 COMBINE one s-orbital and three p-orbitals
three sp3- orbitals oriented at

60 What happens to the energies of the orbitals?
C H METHANE: CH4 four hybrid orbitals needed to form four bonds s + px + py + pz 4 sp3 hybrids an atom with sp3 hybrid orbitals is said to be sp3 hybridized The four sp3 hybrid orbitals form a tetrahedral arrangement. EPG of 4 pairs sp3 hybridization What happens to the energies of the orbitals?

61 What happens to orbital energies when the are hybridized??
Orbitals in free C atom

62 When orbitals are hybridized they have the same energy:
2p sp3 E 2s E Orbitals in free C atom Hybridized orbitals of C atom in methane The FOUR sp3 hybrids are DEGENERATE.

63 x y z x y z x y z Combine one s and three p orbitals….. x y z

64 Now form the bonds to the H-atoms……...
sp3 HYBRIDS C sp3 orbitals Now form the bonds to the H-atoms……...

65 Each bond in methane results from the overlap of a hydrogen 1s orbital and a carbon sp3 orbital.
Carbon sp3 orbitals H C Form a chemical bond by sharing a pair of electrons. H H H Each hybrid ready to overlap with H 1s orbitals

66 VALENCE BOND MODEL Hybrid orbital model Step 1: Draw the Lewis structure(s) Step 2: Determine the geometry of the electron pairs around each atom using VSEPR OR preferably use the EXPERIMENTAL GEOMETRY Step 3: Specify the hybrid orbitals needed to accommodate the electron pairs on each atom

67 OTHER MOLECULES USING sp3 HYBRIDS
sp3 hybrids are also employed in …... all molecules that have a 4 pair EPG…. NH3, H2O, NH4+ , CCl4 AMMONIA…..

68 Nitrogen electronic configuration
AMMONIA: NH3 VSEPR H N Valence shell has four pairs EPG is TETRAHEDRAL Need sp3 hybrids Nitrogen electronic configuration 2s 2p N [He] HYBRIDIZE

69 When orbitals are hybridized they have the same energy:
2p sp3 E 2s E Orbitals in free N atom Hybridized orbitals of N atom in ammonia The FOUR sp3 hybrids are DEGENERATE. sp3 hybridization…….

70 sp3 hybrids on N in AMMONIA
. . . 2s 2p N Now form a bond H H Overlap H 1s….. H

71 AMMONIA N . . . 2s 2p N H Three  bonds One lone pair in an sp3 hybrid

72 AMMONIUM ION NH4+ four  bonds. H+ 2p 2s . N . . N H
ISOELECTRONIC WITH ? CH4

73 WATER O : . . . FOUR PAIRS 2s 2p EPG? O TETRAHEDRAL!! sp3
HYBRIDIZATION?

74 WATER. Overlap of two of oxygen sp3 hybrids with …..
Lone pairs in two of the sp3 hybrids. O H atom 1s orbitals. To form two  bonds. H H Think about H3O+ !!!

75 HYDRONIUM ION. Overlap of Oxygen sp3 hybrids containing a lone pair
ISOELECTRONIC WITH? O NH3 H+ ion empty 1s orbitals. H+ H H

76 QUESTION Which of the following molecules is uses sp3 hybrids in the valence bond description of its bonding? 1 C and D A CO2 2 B and E B NF3 3 A and D C O3 4 B and C D NO2+ 5 B and A E F2O ANSWER…….

77 QUESTION Which of the following molecules is uses sp3 hybrids in the valence bond description of its bonding? C O 1 C and D A CO2 N F 2 B and E B NF3 3 A and D C O3 O O N [ ]+ 4 B and C D NO2+ 5 B and A O F E F2O WHAT ABOUT OTHER EPG’S …….

78 VALENCE BOND THEORY FOR OTHER ELECTRON PAIR GEOMETRIES
A four electron pair EPG uses sp3 hybrids The three electron pair EPG uses sp2 hybrids The two electron pair EPG uses sp hybrids

79 EPG’s sp3 sp sp2 4 2 3 X X X HYBRIDS
109.5° 3 X 120° X 180° HYBRIDS sp3 sp sp2 lets look at a molecule that needs sp2

80 C H Ethylene: C2H4 trigonal planar EPG around each C-atom. VSEPR a HCH angle of 1200. three hybrid orbitals on each carbon for the trigonal planar EPG. s + px + py 3 sp2 hybrids The CARBON is sp2 hybridized The 3 sp2 hybrid orbitals form a trigonal planar arrangement. 3 effective electron pairs sp2 hybridization

81 FORMATION OF sp2 hybrids
VALENCE STATE C atom E 2p 2s GROUND STATE C atom

82 FORMATION OF sp2 hybrids
VALENCE STATE C atom E 2p 2s E 2p 2s GROUND STATE C atom HYBRIDIZE

83 FORMATION OF sp2 hybrids
VALENCE STATE C atom E 2p 2s E 2p 2s GROUND STATE C atom HYBRIDIZE E sp2 2p sp2 hybridized orbitals of C This leaves one p orbital unhybrized…….

84 An sp2 hydridized C atom x y z sp2 - hybrid orbital UNHYBRIDIZED p- orbital The unhybridized p orbital is perpendicular to sp2 plane. Lets put it all together…….

85 Now put the orbitals on…...
C H DRAW TWO C-ATOMS x z y y x z C C Now put the orbitals on…...

86 C H BONDING IN ETHYLENE z z y y C C x x

87 s bond BONDING IN ETHYLENE z z y y C C x x PUT THE ELECTRONS IN AND…..
OVERLAP the sp2 hybrids from the two carbons to form a sigma bond between them. PUT THE ELECTRONS IN AND…..

88 The two unhybridized p orbitals are left over to form…..
overlap two sp2 hybrids on each carbon with hydrogen 1s orbitals to form sigma bonds and... C H z z H H y y H H x x The two unhybridized p orbitals are left over to form…..

89 pi bond (p bond) The second part of the carbon-carbon double bond ! z
y y H H x x The two unhybridized p orbitals are left over to form a ….. pi bond (p bond)

90 pi bond (p bond) The second part of the carbon-carbon double bond ! z
y y H H x x Electrons are shared between the unhybridized p orbitals in an area above and below the line between nuclei.

91 pi bond (p bond) sigma bonds (s bond) THE COMPLETE PICTURE!!!!!!! z z
y y H H x x SUMMARY... sp2 sigma bonds (s bond)

92 p:C(2p)-C(2p) s:C(sp2)-C(sp2) s: H(1s)-C(sp2) s: H(1s)-C(sp2)
s bonding Now look at p bond

93 p:C(2p)-C(2p) s:C(sp2)-C(sp2) s: H(1s)-C(sp2) s: H(1s)-C(sp2)
p bonding Now look at ethyne (acetylene)

94 BONDING SCHEME IN ETHYNE
p:C(2p)-C(2p) TWO OF THESE!! s: H(1s)-C(sp) s: H(1s)-C(sp) C H s:C(sp)-C(sp) What does this look like????

95 Now put the sp-orbitals on…...
DRAW TWO C-ATOMS C H x z y y x z C C Now put the sp-orbitals on…...

96 Put in the unhybridized p orbitals
OVERLAP the sp hybrids from the two carbons to form a sigma bond between them. z z y y C C x x Put in the unhybridized p orbitals

97 OVERLAP the hydrogen 1s orbitals
OVERLAP the sp hybrids from the two carbons to form a sigma bond between them. z z y y C C x x OVERLAP the hydrogen 1s orbitals

98 OVERLAP the C sp hybrids with H 1s to form sigma bonds
z z y y H H C C x x

99 sigma framework of s bonds
OVERLAP the sp hybrids from the two carbons to form a sigma bond between them. z z y y H H C C x x sigma framework of s bonds pi bonding?

100 two pi bonds (p bonds) LATERAL OVERLAP of p orbitals to form pi bonds.
z z y y H H C C x x two pi bonds (p bonds)

101 two pi bonds (p bonds) LATERAL OVERLAP of p orbitals to form pi bonds.
z z y y H H C C x x SO….. two pi bonds (p bonds)

102 SUMMARY Single bond: One s bond Double bond: One s bond, one p bond Triple bond: One s bond, two p bonds

103 VALENCE BOND THEORY Lewis Dot Structure Step 1 Step 2
Get Molecular Geometry VSEPR EXPERIMENTAL Step 3 Choose hybrids Describe bonds…... Step 4

104 What about molecules with more than an octet around the central atom?
Examples: PCl5, or SF4 or SiF62- Four pairs needs Four orbitals Five orbitals Five pairs needs six pairs needs six orbitals

105 PCl5 We ignore the chlorine atoms and just describe central atom.
Need five hybrid orbitals on the phosphorus to fit the trigonal bipyramidal EPG. d + s + px + py + pz 5 dsp3 hybrids 5 effective electron pairs dsp3 hybridization Five equivalent orbitals……..

106 dsp3 - hybrid orbitals x y z TRIGONAL BIPYRAMID EPG 5 PAIRS 900 1200 SIX PAIRS….. overlap with orbitals on chlorine to form 5 s bonds.

107 SF6 We ignore the chlorine atoms and just describe central atom.
We need six hybrid orbitals on the sulfur to allow for the octahedral EPG and six bonds. 6 d2sp3 hybrids d + d + s + px + py + pz d2sp3 hybridization 6 effective electron pairs SIX equivalent orbitals……..

108 d2sp3 - hybrid orbitals x y z 900 900 EXAMPLE overlap with orbitals on flourine to form 6 s bonds.

109 Three lone pairs in equatorial hybrids
EXAMPLES Describe the molecular structure and bonding in XeF2 and XeF4 Xe F EPG 5 pairs Linear dsp3 hybrids Two axial s bonds at 1800 Three lone pairs in equatorial hybrids

110 Three lone pairs in equatorial hybrids Two lone pairs in axial hybrids
EXAMPLES Describe the molecular structure and bonding in XeF2 and XeF4 Xe F Xe F EPG 5 pairs EPG 6 pairs Linear Square planar dsp3 hybrids d2sp3 hybrids Two axial s bonds at 1800 four s bonds at 900 in a plane Three lone pairs in equatorial hybrids Two lone pairs in axial hybrids

111 electrons occupy orbitals each of which spans the entire molecule
MOLECULAR ORBITAL THEORY electrons occupy orbitals each of which spans the entire molecule molecular orbitals each hold up to two electrons and obey Hund’s rule, just like atomic orbitals

112 H2 molecule: 1s orbital on Atom A 1s orbital on Atom B the H2 molecule’s molecular orbitals can be constructed from the two 1s atomic orbitals 1sA + 1sB = MO1 constructive interference 1sA – 1sB = MO2 destructive interference

113

114 ADDITION OF ORBITALS A B combine them by addition
builds up electron density in overlap region 1sA + 1sB = MO1 A B combine them by addition

115 ADDITION OF ORBITALS A B what do we notice?
builds up electron density in overlap region. 1sA + 1sB = MO1 A B what do we notice? electron density between atoms

116 SUBTRACTION OF ORBITALS
results in low electron density in overlap region.. 1sA – 1sB = MO2 A B subtract

117 SUBTRACTION OF ORBITALS
results in low electron density in overlap region.. 1sA – 1sB = MO2 A B what do we notice? no electron density between atoms

118 COMBINATION OF ORBITALS
1sA + 1sB = MO1 builds up electron density between nuclei

119 COMBINATION OF ORBITALS
1sA – 1sB = MO2 ANTI-BONDING results in low electron density between nuclei 1sA + 1sB = MO1 BONDING builds up electron density between nuclei

120

121 THE MO’s FORMED BY TWO 1s ORBITALS

122 s1s* s1s sigma anti-bonding = s1s* sigma bonding = s1s 1sA – 1sB = MO2

123 COMBINING TWO 1s ORBITALS
Energy of a 1s orbital in a free atom Energy of a 1s orbital in a free atom A B E

124 s1s E 1sA+1sB MO Energy of a 1s orbital in a free atom

125 s1s* s1s 1sA-1sB MO E 1sA+1sB MO Energy of a 1s orbital in a free atom

126 COMBINING TWO 1s ORBITALS
s1s* 1sA A B 1sB E s1s

127 bonding in H2 H H2 H s1s* E 1s 1s s1s

128 H H2 H s1s* E 1s 1s s1s the electrons are placed in the s1s molecular orbitals

129 H H2 H s1s* E 1s 1s s1s H2: (s1s)2

130 He2 atomic configuration of He 1s2 He He2 He s1s* E 1s 1s s1s

131 He2: (s1s)2(s1s*)2 s1s* s1s He He2 He E 1s 1s
bonding effect of the (s1s)2 is cancelled by the antibonding effect of (s1s*)2

132 BOND ORDER net number of bonds existing after the cancellation of bonds by antibonds He2 the electronic configuration is…. (s1s)2(s1s*)2 the two bonding electrons were cancelled out by the two antibonding electrons BOND ORDER = 0

133 = BOND ORDER measure of bond strength and molecular stability
If # of bonding electrons > # of antibonding electrons the molecule is predicted to be stable Bond order =

134 high bond order indicates high bond energy and short bond length
measure of bond strength and molecular stability If # of bonding electrons > # of antibonding electrons the molecule is predicted to be stable Bond order { } = # of bonding electrons(nb) # of antibonding electrons (na) 1/2 = 1/2 (nb - na) high bond order indicates high bond energy and short bond length H2+,H2,He2+

135 s1s* s1s Magnetism Bond order Bond energy (kJ/mol) Bond length (pm) H2 H2+ He2+ He2 E

136 s1s* s1s Magnetism Bond order Bond energy (kJ/mol) Bond length (pm) H2 Dia- 1 436 74 H2+ He2+ He2 E

137 s1s* s1s Magnetism Bond order Bond energy (kJ/mol) Bond length (pm) H2 Dia- 1 436 74 H2+ Para- 225 106 He2+ He2 E

138 s1s* s1s Magnetism Bond order Bond energy (kJ/mol) Bond length (pm) H2 Dia- 1 436 74 H2+ Para- 225 106 He2+ Para- 251 108 He2 E

139 First row diatomic molecules and ions
s1s* s1s Magnetism Bond order Bond energy (kJ/mol) Bond length (pm) H2 Dia- 1 436 74 H2+ Para- 225 106 He2+ Para- 251 108 He2 E

140 second period HOMONUCLEAR DIATOMICS Li2 Li : 1s22s1 both the 1s and 2s overlap to produce s bonding and anti-bonding orbitals

141 ENERGY LEVEL DIAGRAM FOR DILITHIUM
s2s* Li2 2s 2s E s2s s1s* 1s 1s s1s

142 ELECTRONS FOR DILITHIUM
s2s* Li2 2s 2s E s2s s1s* 1s 1s s1s

143 Li2 Electron configuration for DILITHIUM s2s* (s1s)2(s1s*)2(s2s)2 2s
Bond Order ? 1s 1s s1s

144 Li2 Electron configuration for DILITHIUM s2s* (s1s)2(s1s*)2(s2s)2 2s
nb = 4 na = 2 E s2s Bond Order = 1 single bond. 1s 1s s1s

145 the s1s and s1s* orbitals can be ignored when both are FILLED!
Electron configuration for DILITHIUM s2s* Li2 (s1s)2(s1s*)2(s2s)2 2s 2s the s1s and s1s* orbitals can be ignored when both are FILLED! E s2s 1s 1s omit the inner shell s1s

146 only valence orbitals contribute to molecular bonding
Li2 (s2s)2 Li Li2 Li s2s* E 2s 2s s2s The complete configuration is: (s1s)2(s1s*)2 (s2s)2

147 Be2 Be Be2 Be s2s* E 2s 2s s2s

148 Be2 Electron configuration for DIBERYLLIUM Be Be2 Be s2s* E 2s 2s s2s
Bond order = 0

149 Be2 Electron configuration for DIBERYLLIUM Be Be2 Be (s2s)2(s2s*)2
nb = 2 E 2s 2s na = 2 s2s Bond Order = 1/2(nb - na) = 1/2(2 - 2) =0 Now B2... No bond!!! The molecule is not stable!

150 form molecular orbitals
the Boron atomic configuration is 1s22s22p1 we expect B to use 2p orbitals to form molecular orbitals addition and subtraction

151 s-molecular orbitals

152 p molecular orbitals

153 ENERGY LEVEL DIAGRAM E 2s s2s* s2s

154 E 2p s2p* p2p* p2p s2p

155 expected orbital splitting
p2p p2p* 2p E 2s s2s* s2s This pushes the s2p up

156 MODIFIED ENERGY LEVEL DIAGRAM
2s s2s* s2s 2p s2p* s2p p2p p2p* E Notice that the s2p and p2p have changed places!!!!

157 Electron configuration for B2
B is [He] 2s22p1 s2p* p2p* s2p 2p 2p p2p E Place electrons from 2s into s2s and s2s* s2s* 2s 2s s2s

158 s2p* p2p* s2p 2p 2p p2p E Place electrons from 2p into p2p and p2p s2s* 2s 2s Remember HUND’s RULE s2s

159 ELECTRONS ARE UNPAIRED
s2p* s2p p2p p2p* Abbreviated configuration (s2s)2(s2s*)2(p2p)2 E Complete configuration 2s s2s* s2s (s1s)2(s1s*)2(s2s)2(s2s*)2(p2p)2

160 Electron configuration for B2:
s2p* (s2s)2(s2s*)2(p2p)2 p2p* na = 2 nb = 4 s2p 2p 2p p2p E Bond order 1/2(nb - na) s2s* = 1/2(4 - 2) =1 2s 2s Molecule is predicted to be stable and paramagnetic. s2s

161 A SUMMARY OF THE MO’s Emphasizing nodal planes

162 ELECTRONIC CONFIGURATION OF THE HOMONUCLEAR DIATOMICS
Li2 B2 C2 N2 O2 F2

163 O2 F2 Li2 B2 C2 N2 2s s2s* s2s 2p s2p* s2p p2p p2p* E 2s s2s* s2s s2p* 2p s2p p2p p2p*

164 Second row diatomic molecules
s2p* p2p* s2p p2p s2s* s2s Magnetism Bond order Bond E. (kJ/mol) Bond length(pm) B2 C2 N2 O2 F2 E

165 Second row diatomic molecules
s2p* p2p* s2p p2p s2s* s2s Magnetism Bond order Bond E. (kJ/mol) Bond length(pm) B2 Para- 1 290 159 C2 N2 O2 F2 E

166 Second row diatomic molecules
s2p* p2p* s2p p2p s2s* s2s Magnetism Bond order Bond E. (kJ/mol) Bond length(pm) B2 Para- 1 290 159 C2 Dia- 2 620 131 N2 O2 F2 E

167 Second row diatomic molecules
s2p* p2p* s2p p2p s2s* s2s Magnetism Bond order Bond E. (kJ/mol) Bond length(pm) B2 Para- 1 290 159 C2 Dia- 2 620 131 N2 Dia- 3 942 110 O2 F2 E

168 Second row diatomic molecules
NOTE SWITCH OF LABELS s2p* p2p* p2p s2p s2s* s2s Magnetism Bond order Bond E. (kJ/mol) Bond length(pm) B2 Para- 1 290 159 C2 Dia- 2 620 131 N2 Dia- 3 942 110 O2 Para- 2 495 121 F2 E

169 Second row diatomic molecules
NOTE SWITCH OF LABELS s2p* p2p* p2p s2p s2s* s2s Magnetism Bond order Bond E. (kJ/mol) Bond length(pm) B2 Para- 1 290 159 C2 Dia- 2 620 131 N2 Dia- 3 942 110 O2 Para- 2 495 121 F2 Dia- 1 154 143 E

170 s2p* p2p* p2p s2p s2s* s2s O2 O2+ O2– O22- E O2 : O2+ : O2– : O22-:

171 s2p* p2p* p2p s2p s2s* s2s O2 O2+ O2– O22- E

172 s2p* p2p* p2p s2p s2s* s2s O2 O2+ O2– O22- E

173 s2p* p2p* p2p s2p s2s* s2s O2 O2+ O2– O22- E

174 s2p* p2p* p2p s2p s2s* s2s O2 O2+ O2– O22- E

175 s2p* p2p* p2p s2p s2s* s2s O2 O2+ O2– O22- E O2 : B.O. = (8 - 4)/2 = 2 O2+ : B.O. = (8 - 3)/2 = 2.5 O2– : B.O. = (8 - 5)/2 = 1.5 O22- : B.O. = (8 - 6)/2 = 1

176 O2+ >O2 >O2– > O22- BOND ENERGY ORDER s2p* p2p* p2p s2p s2s*

177 OXYGEN How does the Lewis dot picture correspond to MOT?
p2p* s2p p2p s2s* s2s E 12 valence electrons BO = 2 but PARAMAGNETIC


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