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Chemical Bonding Chapters 9 & 10
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Review Draw Lewis dot structures for
SO2 BrF41+ ClO2 Use formal charge to determine whether N or O is the more likely central atom in NOF
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How equally do atoms share e– ?
Hydrogen and fluorine share one pair of e– in a single covalent bond In the Lewis dot structure, they appear to share the electrons equally, but do they?
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How equally do atoms share e– ?
When you put HF in an electric field, the molecules line up, as if the F end were negative and the H end positive. The electrons are shared unequally.
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How equally do atoms share e– ?
When bond e– are shared unequally, the bond is said to be a polar covalent bond. A polar covalent bond has a dipole moment: one end is more negative than the other end
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Electronegativity Electronegativity is the ability to attract bond e–
The higher the EN, the “greedier” the atom
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Electronegativity Electronegativity increases across a period and decreases down a group
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Electronegativity and bond polarity
Bond polarity depends on the difference in EN
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Evaluating bond type F–F
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Evaluating bond type F–F F = 4.0, F = 4.0 ∆EN = 0
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Evaluating bond type F–F F–F F = 4.0, F = 4.0 ∆EN = 0
Bond is nonpolar covalent (zero dipole moment) F–F
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Evaluating bond type C = O
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Evaluating bond type C = O C = 2.5, O = 3.5 ∆EN = 1.0
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Evaluating bond type C = O C=O – C = 2.5, O = 3.5 ∆EN = 1.0
Bond is polar covalent (has a dipole moment) with O end more negative Doesn’t matter whether bond is single or double C=O –
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Evaluating bond type KCl
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Evaluating bond type KCl K = 0.8, Cl = 3.0 ∆EN = 2.2
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K1+ Cl1– Evaluating bond type KCl K = 0.8, Cl = 3.0 ∆EN = 2.2
Bond is ionic; e– transferred from K to Cl K Cl1–
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Order, length, energy Bond order = type of bond
1 = single, 2 = double, 3 = triple Bond length = distance between bonded atoms Higher bond order => shorter bond length Bond energy = energy needed to break bond Higher bond order => higher bond energy
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Estimating ∆H from bond energy
Breaking bonds is endothermic (energy in) Making bonds is exothermic (energy out) ∆H is overall energy change ∆H negative (exothermic) when weak bonds break & strong bonds form ∆H positive (endothermic) when strong bonds break & weak bonds form
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CH4 + 2 O2 → CO2 + 2 H2O Observed ∆H for this reaction is –890 kJ
(values from bond energy are approximate)
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Shapes of Molecules Lewis dot structures do not reveal the three-dimensional shape of a molecule Molecular shape can be predicted from the dot structure using the Valence Shell Electron Pair Repulsion (VSEPR) model
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VSEPR The VSEPR model focuses on electron groups in the valence shell
A bond (single, double, or triple) is one electron group A lone pair is one electron group VSEPR proposes that electron groups will take positions around the central atom that are as far away from each other as possible, to minimize repulsions This gives a set of 5 possible geometries
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Terminology A = central atom
X = atom or group of atoms bonded to central atom E = lone pair of e– on central atom AX2 AX2E2 AX4
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Terminology Electron group geometry = shape made by the e– groups (bonds + lone pairs) 2 electron groups = linear 3 electron groups = trigonal planar 4 electron groups = tetrahedral 5 electron groups = trigonal bipyramidal 6 electron groups = octahedral
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Sketching the 5 basic geometries
Linear Trigonal planar Tetrahedral Trigonal bipyramidal Octahedral
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Terminology Molecular geometry = shape made by joining bonded nuclei with straight lines Each e– group geometry forms one or more molecular geometries Example: four electron groups (tetrahedral) could be AX4 tetrahedral AX3E trigonal pyramidal AX2E2 angular or bent Bond angle = angle between adjacent bonds
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Applying VSEPR Theory Draw a plausible Lewis structure.
Determine the number of bonds and lone pairs, and assign a VSEPR notation (AXE) to the molecule. Establish the e– group geometry. Determine the molecular geometry. If there is more than one central atom, analyze each atom individually. Sketch the electron group geometry, indicating atoms with circles and lone pairs with dots.
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Molecular Geometry as a Function of Electron Group Geometry
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Molecular Geometry as a Function of Electron Group Geometry
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Beyond Lewis theory Lewis theory but
Describes what happens (dot structures) Offers a simple idea of why (octet rule) but Is not correlated to modern atomic theory (orbitals)
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Valence bond theory Chemical bond forms when half-filled orbitals overlap at optimum balance of attraction & repulsion
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Valence bond theory For most molecules, molecular geometry does not match orientation of atomic orbitals
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Hybridization of atomic orbitals
When bonds form, central atom valence orbitals combine → new set of wave functions called the hybrid set Number of hybrid orbitals = number of atomic orbitals combined Hybrid orbitals have different shape and orientation than original orbitals Shapes of hybrid sets correspond to VSEPR geometries
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sp3 hybrid set One 2s + three 2p orbitals → four sp3 orbitals
The orbitals in the sp3 set all have the same energy Four valence e– enter the four sp3orbitals according to Hund’s Rule.
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sp3 hybrid set C has 4 valence e– N has 5 valence e–
Each valence e– is in an sp3 orbital Four half-filled sp3 overlap with four half-filled 1s H orbitals N has 5 valence e– Three half-filled sp3 overlap with three half-filled 1s H orbitals Fourth sp3 contains lone pair
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sp2 hybrid set 2s + 2px + 2py orbitals → three sp2 orbitals in xy plane 2pz orbital is unhybridized, remains along z axis
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Single & double bonds in VB
The hybrid orbitals overlap head-to-head with orbitals on other atoms to form single bonds Head-to-head overlap is called a sigma () overlap Sigma overlaps provide the skeleton structure and VSEPR shape
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Single & double bonds in VB
Unhybridized orbital overlaps side-to-side with orbital on another atom to form another bond Side-to-side overlap is called a pi () overlap Pi overlap is the second bond in a double bond
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Bonding in H2CO
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sp hybrid set 2s + 2px orbitals → two sp orbitals on x axis
2py + 2pz orbitals are unhybridized, remain along y and z axes
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sp hybrid set The sp set can form two sigma bonds (s) and two pi bonds (p) Single bond = triple bond Two double bonds
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Bonding in C2H2
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sp3d hybrid set One 3s + three 3p + one 3d orbital → five sp3d orbitals Valence e– must be on n ≥ 3 to form this set No double or triple bonding
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sp3d2 hybrid set One 3s + three 3p + two 3d orbitals → six sp3d2 orbitals Valence e– must be on n ≥ 3 to form this set No double or triple bonding
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One + two bonds Two + one bond All bonds
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