O 2s 2p y 2p x 2p z 2p y 2p x 2F1 of 14 H 2 O O 2s 2p y 2p x 2p z 2p y 2p x H H 1s 1s 1s 1s This predicts the shape of a water molecule to be bent with a 90 ID: 486092
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Slide1
EXPLAINING VALENCE BOND THEORY
2F-1 (of
16)
1s atomicorbital w/ 1 e-
1s atomic orbital w/ 1 e-
H2
MOLECULAR ORBITAL
w/ 2 e-s
H
H
1s
1sSlide2
3p
y
3px
3pzEXPLAINING VALENCE BOND THEORY2F-2 (of 16)
3px atomicorbital w/ 1 e-
3px atomic orbital w/ 1 e-
Cl
2
MOLECULAR ORBITAL
w/ 2 e
-s
:
Cl ::
3s
3px
3pz
3s
3p
y
Cl
:
:
:Slide3
H
2
O
. .. O . . .2s
2py2px2pz2py
2px
2F-3
(of
16)Slide4
2p
x
2pz
H2O
. .. O . .
.2s2py
2py
2px
H
H
1s
1s
1s
1s
This predicts the shape of a water molecule to be bent with a 90º angleHowever, the molecule is bent with a 105º angle
Each bond is formed by combining a H 1s atomic orbital (with 1 e-) with an O 2p atomic orbital (with 1 e
-)
2F-4 (of 16)Slide5
1939
LINUS PAULING
Proposed that linear combinations of an atom’s valence atomic orbitals can produce another set of equivalent valence atomic orbitals
HYBRIDIZATION – The combining of 2 or more orbitals of different sublevels to make an equal number of HYBRID ORBITALS of equivalent energy (said to be DEGENERATE)
2F-5 (of 16)Slide6
E
2s
2p
hybridization
These 4 hybrid orbitals are called
sp
3
orbitals
sp
3
2F-6 (of 16)Slide7
2p
z
2p
x
2p
y2ssp3
sp
3
sp
3
sp
3hybridizationThe sp3 hybrid orbitals are arranged in a tetrahedron, with an angle of 109.5º between them
2F-7 (of 16)Slide8
sp
3
sp
3
sp3sp3This forms a bent molecule with a theoretical bond angle of 109.5º
Each bond is formed by combining an O sp3 atomic orbital (with 1 e-) with a H 1s atomic orbital (with 1 e-)2F-9 (of 16)Slide9
Each bond in H
2O is completely symmetrical around its internuclear axis
SIGMA BOND (σ) – A bond that is completely symmetrical around its
internuclear axisEach bond is named:σ(sp3+1s)2F-10 (of 16)Slide10
NH
3
. .
. N . .
2s2py2px2pz
2p
z
2p
x
2p
y2F-11 (of 16)Slide11
NH
3
. .
. N . .
2s2py2px2pz
2p
z
2p
x
H
H
1s
1s
This predicts the shape of an ammonia molecule to be trigonal pyramidal with a 90
º angle
However, the molecule is trigonal pyramidal with a 107º angle
2p
y
1s
.
H
2F-12
(of
16)Slide12
2F-13 (of
16)
E
2s2p
hybridization
sp
3Slide13
sp
3
sp
3
sp3sp3
This forms a trigonal pyramidal molecule with a bond angle of 109.5º Each sigma bond in NH3 is formed by combining a N sp3 atomic orbital (with 1 e-) with a H 1s atomic orbital (with 1 e
-)
Each bond is named:σ
(sp3+1s)2F-14
(of 16)Slide14
CH
4
. .
. C . 2s2py
2px2pz
.
.
C
. .
sp3sp3sp3sp3
E
2s
2p
hybridization
sp
3
2F-15
(of
16)Slide15
sp
3
sp
3
sp3sp3
This forms a tetrahedral molecule with a theoretical bond angle of 109.5º Each bond is named:
σ(sp3+1s)
2F-16 (of 16)
Central atoms with SN = 4 always undergo sp3 hybridization when bondingSlide16Slide17
BH
3
2G-1 (of 18)
HH B HSN = 3Trigonal Planar
H
H
H
B
If the B undergoes sp
3
hybridization:
Central atoms with SN = 3 only need to hybridize 3 valance atomic orbitals
Trigonal Pyramidal
sp
3
sp
3
sp
3
sp
3Slide18
BH3
E
2s
2p
hybridization
sp2
2p
. .
.
B
2s
2p
y2px2pz
.
.
B
.
sp
2
sp
2
sp
2
2p
z
2G-2
(of
18)Slide19
2p
z
2p
x
2p
y
2s
hybridization
The angle between the sp
2 hybrid orbitals is 120º
sp
2sp22pz
sp2
The 2pz orbital is 90
º from the plane of the sp2 hybrid orbitals
2G-3 (of 18)Slide20
2p
z
2p
x
2p
y
2s
hybridization
sp
2
sp
22pzsp2
Rotating the top 90
º towards you
sp
2
sp
2
sp
2
2G-4
(of
18)Slide21
sp
2
sp
2
2pzsp2
2G-5 (of 19)
Rotating the top 90
º towards youSlide22
This forms a trigonal planar molecule with a bond angle of
120º
Each bond is named:
σ
(sp2
+1s)2G-8 (of 19)Slide23
BeH
2
H Be HSN = 2
LinearIf the Be undergoes sp3 hybridization:Central atoms with SN = 2 only need to hybridize 2 valance atomic orbitalsBent, 109.5º
H Be HIf the Be undergoes sp2 hybridization:Bent, 120º
2G-9 (of 19)Slide24
BeH2
E
2s
2p
hybridization
sp2p
. .
Be
2s
2py
2px
2p
z
.
. Be
sp
2p
y
sp
2p
z
2G-10
(of
19)Slide25
2p
z
2p
x
2p
y
2s
hybridization
The
sp
hybrid orbitals are linear, with an angle of 180º between them
sp2py2pzsp
The 2py and 2p
z orbitals are 90º from the
sp hybrid orbitals2G-11
(of 19)Slide26
sp
2p
y
2p
zsp
This forms a linear molecule with a bond angle of 180ºEach bond is named:σ(sp+1s)
2G-12 (of 19)Slide27
PH
5
5 + 5(1) = 10 valence e-s
HPHHHH
2G-13 (of 19)Central atoms with SN = 5 need to hybridize 5 valance atomic orbitalsSlide28
PH5
E
3s
3p
hybridization
sp3d3d
These 5 hybrid orbitals are called
3d
sp
3
d orbitals
2G-14
(of
19)Slide29
sp
3
d
sp
3dsp3dsp3d
sp3d
This forms a trigonal
bipyramidal molecule
Each bond is named:
σ(sp3d+1s)
PH
52G-15 (of 19)Slide30
SH6
H
SH
H
HHH6 + 6(1) = 12 valence e-s2G-16 (of 19)Central atoms with SN = 6 need to hybridize 6 valance atomic orbitalsSlide31
SH6
E
3s
3p
hybridization
sp3d23d
These 6 hybrid orbitals are called
3d
sp
3
d
2
orbitals
2G-17
(of
19)Slide32
sp
3
d
2
sp3d2sp3d
2sp3d2sp3d2sp3d2
SH6
This forms an octahedral molecule
Each bond is named:
σ
(sp
3
d2+1s)
2G-18 (of 19)Slide33
SN
Hybrid
.
23456spsp2sp3sp3
dsp3d2Hybrid Orbital GeometryLinearTrigonal PlanarTetrahedralTrigonal BipyramidalOctahedral
sp2
sp
2
sp
2
sp
3
sp
3
sp3sp3
sp3d
sp
3
d
sp
3
d
sp
3
d
sp
3
d
sp
3
d
2
sp
3
d
2
sp
3
d
2
sp
3
d
2
sp
3
d
2
sp
3
d
2
sp
sp
2G-19
(of
19)Slide34
http://www.mhhe.com/physsci/chemistry/essentialchemistry/flash/hybrv18.swfSlide35
HYDROCARBON – Molecules composed of only carbon and hydrogen
SATURATED HYDROCARBON – Hydrocarbons with only single bonds between the carbon atoms
The ending
-ane indicates only single bonds between the carbon atoms1 meth-2 eth-3 prop-4 but-5 pent-6 hex-
7 hept-8 oct-9 non-10 dec-The prefix tells the number of carbon atoms in the molecule2H-1 (of 10)Slide36
methane
:
CH
4HH C HHSN of C = 4 TetrahedralNonpolarEach bond: σ(sp3
+1s) HC HHH
Hybridization = sp
3
sp
3
sp
3
sp
3
sp
3
2H-2 (of 10)Slide37
ethane
: C
2H6
H HH C C HH HSN of each C = 4
Hybridization = sp3C-C bond: σ(sp3+sp3) Each C-H bond:
σ(sp3+1s) HC HH
H
H
H
C
2H-3 (of 10)
sp
3
sp
3
sp
3
sp
3Slide38
UNSATURATED HYDROCARBON – Hydrocarbons with at least one double or triple bond between carbon atoms
The ending
-ene indicates a double bond between carbon atoms
A double bond consists of a SIGMA BOND and a PI BONDPI BOND () – A bond that is only symmetrical upon a 180º rotation around its internuclear axis2H-4 (of 10)Slide39
C
C
ethene
: C2H4H HH C C H
SN of each C = 3 Hybridization = sp2
C-C bonds:
σ(sp2+sp2)
(2p+2p) Each C-H bond: σ(sp2+1s)
H
H
H
H
2H-5 (of 10)
sp
2
sp
2
2p
z
sp
2Slide40
The ending
-yne indicates a triple bond between carbon atoms
A triple bond consists of a 1 SIGMA BOND and 2 PI BONDS
2H-6 (of 10)Slide41
ethyne
: C
2H2
H C C HSN of each C = 2 Hybridization = sp
C-C bonds: σ(sp+sp) (2pz+2pz) (2py+2py)Each C-H bond: σ(sp+1s)
C
H
C
H
2H-7 (of 10)
sp
2p
y
2p
z
sp
Slide42
BOND ORBITAL MODELS (BOM’s) – Geometric
diagrams of the bonding in molecules
To draw a BOM for a molecule:
1 – Draw the Lewis structure and predict the hybridizations of each atom2 – Draw the correct geometries for the hybrid atomic orbitals of each atom, starting with atoms involved in double or triple bonds3 – Have atoms bond by overlapping atomic orbitals, and label each bond2H-8 (of 10)Slide43
C
C
H H C H H C H
H CDraw a BOM for CH3CHCH2
C
1
sp
3
C2sp2C3sp2
H
H
H
H
H
H
C
C
2
-C
3
bonds:
C
2
-H & C
3
-H bonds
:
C
1
-C
2
bond:
C
1
-H bonds:
2H-9 (of 10)
σ
(sp
2
+sp
2
)
(2p+2p)
σ
(sp
2
+1s
)
σ(sp3+sp
2)σ(sp3+1s)Slide44
H H C
C H C H C1sp2
C2spC3sp2Draw a BOM for CH2CCH2
C
C
H
H
H
C
C-C bonds:
C-H bonds:
H
2H-10 (of 10)
σ
(sp
2
+sp)
(
2p+2p)
σ
(sp
2
+1s)Slide45Slide46
Valence Bond Theory
predicts many properties of moleculesbut it cannot predict
(1) magnetism of molecules (2) the e- arrangement of molecules with an odd number of e
-s (3) the e- arrangement in molecules with resonance (4) energies of excited states of molecules2I-1 (of 8)Slide47
MOLECULAR ORBITAL THEORY – Electrons in molecules exist in molecular orbitals
not restricted to regions of space between pairs of atoms, but are
treated as moving under the influence of all the nuclei in the molecule
2I-2 (of 8)
1932 ROBERT MULLIKEN AND FRIEDRICH HUNDProposed that molecular orbitals are not localized between pairs of atomsThe number of valence molecular orbitals (MO’s) in a molecule must equal the number of valence atomic orbitals (AO’s) from the atoms that make it upSlide48
H2
2 valence AO’s in the 2 H atoms, 2 valence MO’s in the molecule
This MO is the result of the addition of the 2 AO’s: 1s + 1s
This MO is the result of the subtraction of the 2 AO’s: 1s - 1s 2I-3 (of 8)
1s AO 1s AO
+++-Slide49
SIGMA MOLECULAR ORBITAL – An orbital that is completely symmetrical around its
internuclear axis
BONDING MOLECULAR ORBITAL – An orbital lower in energy than the original atomic orbitals because most of the e-
density is between the 2 nucleiANTIBONDING MOLECULAR ORBITAL – An orbital higher in energy than the original atomic orbitals because most of the e- density is outside the 2 nuclei2I-4 (of 8)
MO
1MO2σσ
b
*Slide50
MO Energy Level Diagram for H
2
E
atom 1atom 2molecule
1s1s
σ1sb
σ1s*
2I-5 (of 8)Slide51
Bond Order
= Bonding e
-s – Antibonding e-s
_______________________________________ 2Bond Order for H2 = 2 – 0 ______
2= 1 PARAMAGNETIC – A substance that is magnetic in a magnetic field Due to unpaired e-sDIAMAGNETIC – A substance that is never magnetic
Due to no unpaired e-sH2 is diamagnetic Electron configuration for H2 :(σ1sb)2
2I-6 (of
8)Slide52
He2
The valence AO’s of each He atom combine to form MO’s in the He2 molecule
MO Energy Level Diagram for He2
E
1s1s
σ1sbσ1s*
Bond Order for He
2
=
(2 – 2) / 2= 0 He2 does not exist
2I-7 (of 8)Slide53
Does He
2+ exist?If yes, give bond order, magnetism, and electron configuration notation
MO Energy Level Diagram for He2+
Bond Order for He2+= (2 – 1) / 2= ½ He2
+ does existHe2+ is paramagnetic Electron configuration for He2+ :(σ1sb)2 (σ1s
*)12I-8 (of 8)E
1s
1s
σ
1s
b
σ
1s
*Slide54Slide55
Diatomic
Homonuclear Molecules of the 2nd Period
E
atom 1atom 2molecule Valence Orbitals
2s2p
2s2p?
2J-1 (of 16)Slide56
The 2 2s AO’s combine the same way as 2 1s AO’s, forming
a
s2sb MO and a
s2s* MO
2pz2px
2py
2p
z
2p
x
2p
yEach pair of p orbitals will combine to form a bonding MO and an antibonding MO2J-2 (of 16)Slide57
2p
x
2p
x
s2pxb
2px
2px
s2px*
2J-3 (of
16)-
+
--+-
++Slide58
2p
z
2p
z
PI MOLECULAR ORBITAL – An orbital that is symmetrical only upon a 180º rotation around the internuclear axisp2pzb
p
2pz
*
2pz2p
z
2J-4 (of
16)-
+
+
---++Slide59
The 2 2p
y AO’s combine the same way as 2 2pz AO’s, forminga
p2pyb MO and a p2p
y* MO 2J-5 (of 16)Slide60
E
atom 1
atom 2
molecule2s
2p2s
2p
s
2s
b
s
2s
*
s
2p
xb
s2p
x*
p2pz*
p2py*
p
2p
z
b
p
2p
y
b
Experimental data has determined the energies of the 8 MOs
2J-6 (of
16)Slide61
C2
Bond Order for
C2
= (6 – 2) / 2= 2 C2 is diamagneticElectron configuration for C2 :
(s2sb)2 (s2s*)2 (p2pb)42J-7 (of 16)
E2s
2p
2s
2p
s
2s
b
s
2s
*
s
2p
x
b
s
2p
x
*
p
2p
z
*
p
2p
y
*
p
2p
z
b
p
2p
y
bSlide62
F2
Bond Order for F
2
= (8 – 6) / 2= 1 F2 is diamagnetic Electron configuration for F2 :
(s2sb)2 (s2s*)2 (p2pb)4 (s2pb)2 (p2p*)4 2J-8 (of 16)
E
2s
2p
2s
2p
s
2s
b
s
2s
*
s
2p
x
b
s
2p
x
*
p
2p
z
*
p
2p
y
*
p
2p
z
b
p
2p
y
bSlide63
C
2
Bond Order
= 2 F2Bond Order= 1 Highest Bond Energy:
Longest Bond Length:C2F22J-9 (of 16)Slide64
Diatomic Heteronuclear Molecules of the 2
nd Period
2J-10 (of 16)Slide65
CN
Bond Order for
CN
= (7 – 2) / 2= 2½ CN is paramagnetic Electron configuration for CN :
(s2sb)2 (s2s*)2 (p2pb)4 (s2pb)1 N’s greater nuclear charge makes its AO energies lower that C’s2J-11 (of 16)
E
2s
2p
2s
2p
s
2s
b
s
2s
*
s
2p
x
b
s
2p
x
*
p
2p
z
*
p
2p
y
*
p
2p
z
b
p
2p
y
bSlide66
Benzene, C
6H6
C
CCCCC
H
H
H
H
H
H
C
CC
CC
C
H
H
H
H
H
H
Each C is sp
2
, and all atoms are planar
Each C has a p orbital perpendicular to the plane
2J-12
(of
16)
Molecular Orbital Theory can
also explain the
e
-
arrangement in molecules with resonanceSlide67
Resonance
structures assume that these p orbitals make distinct pi bonds
Molecular Orbital Theory predicts the 6 2p AO’s will combine to make 6
MO’s
2J-13
(of
16)Slide68
Resonance structures assume that these p orbitals make distinct pi bonds
Molecular Orbital Theory predicts the 6 2p AO’s will combine to make 6
MO’s
2J-14 (of 16)Slide69
2J-15
(of
16)
DELOCALIZED PI SYSTEM – A group of pi molecular orbitals spread out over more than 2 atoms
The e
-
s in the delocalized pi system
strengthen the bonds in
the
ring
Molecules possessing resonance
always bond
with delocalized pi systems, which are formed from
PARALLEL P ORBITALSSlide70
O N O
ONO
3-O N O
O
-
-
-
O N O
O
↔
↔
All atoms that can form a double bond in at least
1
resonance structure must
have parallel p orbitals to form the delocalized pi system
N
O
O
O
2J-16
(of
16)
m
ust be sp
2
N
O
O
OSlide71Slide72
EMPIRICAL FORMULA CALCULATIONS
EMPIRICAL FORMULA – The simplest whole-number ratio of the atoms of different elements in a compound
C
6H6C1H1C6H12O6C1H2O1
H2OH2OMolecular Formula:Empirical Formula:2K-1 (of 8)Slide73
1) Assume you have 100 g of the compound
Find the empirical formula of a compound that is 75.0% carbon and 25.0% hydrogen by mass.
75.0 g C and 25.0 g H2) Calculate the moles of atoms of each element x 1 mol C ____________ 12.01 g C = 6.24
5 mol C 75.0 g Cx 1 mol H ____________ 1.01
g H = 24.75 mol H 25.0 g H3) Divide each number of moles by the smallest number of moles
6.245
mol C_______________
6.245
24.75
mol H
_______________ 6.245= 1.00 mol C= 3.96 mol H
4) The integer mole ratio must be the atom ratio:
CH4
2K-2 (of 8)Slide74
Find the empirical formula of a compound that is 90.0% carbon and 10.0% hydrogen by mass.
x 1
mol C
____________ 12.01 g C = 7.494 mol C 90.0 g Cx 1 mol
H ___________ 1.01 g H = 9.901 mol H 10.0 g H
7.494 mol C_______________ 7.4949.901
mol H
_______________ 7.494
= 1.000 mol
C= 1.321
mol H
If the moles of all elements are not within 0.1 moles of an integer, they must all be multiplied by an integer until they are integers 2 2= 2.00
mol C
= 2.64
mol H 3 3= 3.00 mol C
= 3.96 mol H
Empirical formula: C3H4
2K-3 (of 8)Slide75
Al
2(SO4)3
2 mol Al (26.98 g/mol) = 53.96 g 3
mol S (32.07 g/mol) = 96.21 g 12 mol O (16.00 g/mol) = 192.00 g 342.17 gMOLAR MASSES OF COMPOUNDSMOLAR MASS – The mass of one mole of molecules of a molecular substance, or one mole of formula units of an ionic substance
The mass necessary to have 1 mole of Al2(SO4)3 formula units2K-4 (of 8)= 342.2 gSlide76
CCl
4 1 mol C (12.01 g/mol) = 12.01 g
4 mol Cl (35.45 g/mol
) = 141.80 g 153.81 gCalculate the molar mass of carbon tetrachloride 153.81 g CCl4 = 1
mol CCl4Calculate the number of chlorine atoms in 1.00 g carbon tetrachloride.x 1 mol CCl4 __________________ 153.81 g CCl4
= 1.57 x 1022 atoms Cl 1.00 g CCl4x 4 mol Cl ______________ 1
mol CCl4
x 6.022 x 1023 atoms Cl
_____________________________ 1 mol Cl
2K-5 (of 8)Slide77
MOLECULAR FORMULA CALCULATIONS
MOLECULAR FORMULA – The actual number of the atoms of different elements in a molecule
C
1H1or C2H2Empirical Formula:Molecular Formula:C
1H1or C3H3or C4H4 etc.
2K-6 (of 8)Slide78
Find the molecular formula of a compound that is 43.7% phosphorus and 56.3% oxygen by mass, and has a molar mass of about 280 g/mol.
x 1
mol P
_____________ 30.97 g P = 1.411 mol P 43.7 g P
x 1 mol O ____________ 16.00 g O = 3.519 mol O 56.3 g O
1.411 mol P_______________ 1.4113.519
mol O
_______________ 1.411
= 1.00 mol P
= 2.49 mol O
Empirical formula: P
2O5Find the molar mass of the empirical formula 2 2= 2.00
mol P
= 4.98 mol
O2K-7 (of 8)Slide79
P
2O5 2 mol
P (30.97 g/mol) = 61.94 g 5 mol O (16.00 g/
mol) = 80.00 g 141.94 gDivide the compound’s actual molar mass by the empirical formula’s molar mass – it should be very close to an integer 280 g/mol________________141.94 g/mol
≈ 2 The molecular formula is 2 times the empirical formulaMolecular formula: P4O102K-8 (of 8)Slide80
REVIEW FOR TEST 2
Ionic BondingElectron Configuration Notation for IonsIon SizesLewis Structures for Ionic Compounds
Metallic BondingCovalent BondingValence Bond TheoryElectronegativity
Polar Covalent BondsNonpolar Covalent BondsLewis Structures for Covalent CompoundsSlide81
REVIEW FOR TEST 2
Bond OrderBond LengthBond EnergyFormal Charge
Resonance Steric NumberVSEPR Theory to Predict Molecular ShapesMolecular Polarity
HybridizationBond Orbital ModelsNaming BondsSlide82
REVIEW FOR TEST 2
Molecular Orbital TheoryBonding Molecular OrbitalsAntibonding Molecular OrbitalsSigma Molecular Orbitals
Pi Molecular OrbitalsMolecular Orbital Energy Level Diagrams Bond OrderParamagneticDiamagnetic
Electron Configuration NotationDelocalized Pi SystemsSlide83
REVIEW FOR TEST 2
Empirical Formula CalculationsMolar Masses of CompoundsMolecular Formula CalculationsReading
Experiments 6-10Chemical Separations Based on Solubilities
Solubility CurvesSpectrophotometric DeterminationsBeer’s Law