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2.2 The covalent model (AHL)

Understanding Points
Structure 2.2.11—Resonance structures occur when there is more than one possible position for a double bond in a molecule. (AHL)
Structure 2.2.12—Benzene, C6H6, is an important example of a molecule that has resonance. (AHL)
Structure 2.2.13—Some atoms can form molecules in which they have an expanded octet of electrons. (AHL)
Structure 2.2.14—Formal charge values can be calculated for each atom in a species and used to determine which of several possible Lewis formulas is preferred. (AHL)
Structure 2.2.15—Sigma bonds (σ) form by the head-on combination of atomic orbitals where the electron density is concentrated along the bond axis. (AHL)
Structure 2.2.16—Hybridization is the concept of mixing atomic orbitals to form new hybrid
orbitals for bonding. (AHL)
Resonance structures
Occurs when there is more than one position possible for double/triple bonds in a molecule
Usually requires a network of alternating double/single bonds (at least 1 of each)
Indicated by double headed arrow
Individual structures are called resonance forms
Actual electronic structure of species is called resonance hybrid: hybrid of the two resonance forms with delocalized e-s
Benzene
Structure: cyclic, planar, delocalised 𝛑 electron cloud
Evidence to explain structure of benzene:
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Bond length
6 equal length carbon - carbon bonds & length b/w single and doubleC-C bonds have order of 1.5
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Experimental value is less exothermic than theoretical value of kekule structure Less energy produced = lower energy state/more stable *Delocalisation minimises repulsion b/w electrons
Substitution preserves the stability of the delocalised 𝛑 system.  Electrophilic addition removes the delocalised 𝛑 system so energetically not favored
https://lh7-us.googleusercontent.com/HiH7T6ns61AM1iqDpRC1vZoeaZoKBgI2aBr9Qyzhwda0j7pdOoWqbDuGkr1qqchBu8S41-mU2YwCAVJhpczVFdVtwsmJt6HLjip_3x4pM8wT99-Mipqxl49bsfdWI8ykg-jD-o4oXBTfyaEBAGPrAmc
Expanded octets
Possible for period 3+ non-metals, e.g. P, S, Cl, Xe
˙.˙ extra bonding e- pairs occupy into empty d orbitals
˙.˙ d orbitals very similar in energy level to 3p orbitals and extra e-s can easily be promoted
Electron domain
Bonding
Lone pairs
Molecular Geometry
Bond Angle (o)
5
5
0
Trigonal Bipyramidal
90 120
PCl5
4
1
See saw
<90, <120, <180<
SF4
3
2
T-shaped
90
BrF3
2
3
Linear
180
XeF2
6
6
0
Octahedral (square bipyramidal)
90
SF6, ICl6+
5
1
Square  Pyramidal
90
BrCl5,SF5-
4
2
Square planar
90
XeF4, ClF4-
Formal charge
Used to predict the preferred Lewis structure when more than one is possible
Formal charge =(no. of valence e- ) - 12(no. of bonding e- ) - (no. of non-bonding e- )
Lewis structure with less charges is the more energetically stable/preferred form
When more than one structure has the same lowest formal charge, choose the one where the -ve value for formal charge is on the more electronegative atom
Molecular orbitals
Atomic orbitals form molecular orbitals in bonding
Two types of covalent bond
𝝈
𝛑
Definition
Axial overlap of orbitals
sideways overlap of p orbitals
Electron distribution
b/w bonding nuclei along bond axis
Above and below bonding nuclei parallel to the bond axis
No. of 𝝈 and 𝛑 bonds in a single/double/triple bond
𝝈
𝛑
Single
1
0
Double
1
1
Triple
1
2
𝝈 bond type
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Overlap b/w
Example
Illustration
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H-H
e.g. H-H
https://lh7-us.googleusercontent.com/UQ3jSL-LWuEwqQUugnrt_tWPe58HLP1CMOdhLXkuTDXQdZVVdySHlHzs04_HH4kUam9ypSy-snK8xaByhR_4ElRCzX9bsDMS85bOWlO2qLimFQAEe3p_XQYzwxehaAo4udc0I25ZqM-N0b7Vq8oFiN0
H-X
e.g. H-Cl
https://lh7-us.googleusercontent.com/Mi62zhm1gvx8ktSIhnV8kTsGYmDXLCQcMdad6hCMxnTLd2Ev5rD8RikJYu6ON2LlNhED_ZAzNMrmZEP7dk6_NmNGgSU7Jdl-wfH_rmpHZGqSKvYxk_PHVvP9-wIzpKkEAD7ZfOUCkPsseAGeoGL5lOc
X2
Cl-Cl
https://lh7-us.googleusercontent.com/75jSWPuhIBbI8AJqZqTaL5IU4zYWVbQ0ngAG7Uv-6L6pVCW9siN6DupqIMGs_Da3Zk9JZPOx3M4haVfUQjs_sHbQli1pt7zK9KB8pjCZXMzghuUBaEJ9-_GsCfRM_ocolOCM2kYuzu30VjiwgV9eHcE
C-H (in CH4)
https://lh7-us.googleusercontent.com/Ib4DQohMd6AAZL_37IZ_cl7DW7yweJCqhgnOP7cXkD1s6YIHCEkWL_A1dfRSuB29Mg9fAvnSeasZrW4mHQ9W7Ergs6rxG0If4RYSiOprp62oY3YhkwE7C3W-68mDpFx6QE-KjO3eG92bcpAk_niNTTw
sp3, sp2, sp hybrid orbitals
𝛑 system
Minimum 3 consecutive p orbitals needed for e- delocalisation
Movement of delocalised e- is illustrated by resonance structure
Resonance structure allows increase in stability via distribution of charge over more no. of atoms
Delocalisation: the sharing of pi electrons across more than two atoms
Occurs when there are a number of atomic p-orbitals on neighbouring atoms that can overlap in a molecule or ion and several resonance structures can be drawn
‘pi cloud’ forms when there is a overlap of all the orbitals above and below the sigma bonds to stabilise the molecule or ion and spread the charge out
Rather than single or double bond, the bonds are somewhere in between → very stable structure
Hybridization
Combining of atomic orbitals (of different types, i.e. s and p) to form new hybrid orbitals (of an equal type) and between the energies of the starting orbitals
“Combining of atomic orbitals to produce new hybrid bonding orbitals”
Atoms that covalently bond so by overlapping their orbitals to share electrons
The problem is that some of the electrons to be shared are in : a) different types of orbitals (s,p,d,f) , b) they often have different shapes
Atoms overcome this problem by putting its bonding electrons into equal bonding orbitals
This bonding orbital is a combination of the types, shapes and energies of the s,p,d,f orbitals involved and hence is called a ‘hybrid orbital’
The type of hybridization depends on the number of electron domains around the central atom hence hybridization is linked with shape
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Need for 4 equal half bonds - excitation before covalent bonding
(Using CH4 as an example)C forms 4 single covalent bonds with 4 Hs4 unpaired e-s from one C interacting with another 4 unpaired e-s from four HsGround state of C atom only have 2 unpaired e-s To give 4 unpaired e-s, electron can be excited from 2s orbital to the vacant 2p orbital
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3 x C-H bonds originate from 2p orbitals (C) and 1s orbitals (H)  1 x C-H bond originates from 2s orbital (C) and 1s orbitals (H) Latter seems shorter than the former but C-H bonds within CH4 are all of equal length.
Before the 2s and three 2p orbitals of C bond with four 1s orbitals of H, they are mixed to produce 4 equal hybrid orbitals.
Hybrid orbitals
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Molecule
Mechanism
Bond Angle
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Methane
109.5
https://lh7-us.googleusercontent.com/PxAyfWSy-etg1wCldf_El5eLFPGE56R4r1UL4FWK2Hpt7w_brLVcZAOUak-xdLXePjkwzLsEK4Si0fYVMn6I_ipPCP5Hh-QyA2W20p6iaeqDOzuOVcDv0oZzkBrqn-EbVJ1phEEa8OIzMFj8qKpncUg
https://lh7-us.googleusercontent.com/U1z9H6eSfxRp-1i5D0VUi7zOBabvF5ilWW0EnfzIqcQFSuq5ZEkawvIMX6dwvtXN4afF6N5sh3Er6alFABdyTDZvMAWVYgTT6Ubh0XqEwWxpxFyfWEMF8MRvZPbnL5HY4KniLBIAbOfN_EmXYyJwYYI
Ethene (C=C) *one p orbital is left out
120
https://lh7-us.googleusercontent.com/0U8T1qPzdqFrX_jg3PfI8Ob8Fro5lxx0IJ-SWMd5Bmb7a-zJFZVc0glyz2Vkr8syJl4IAtNAt3x-zZm2C2g_98nhufhjhgx_dnuIp82PKuKRwLkEKgII6RLZDCvSgD2Cxndommpnw___AQaQPTmuEyc
https://lh7-us.googleusercontent.com/vSTWfbtKDFg0pu5Sw_KDe2hch74qv-EAMmFaHm99LeaxzrYXNmFJhM472qtyT7T6PX1CvZYHc-di-uwR95H1wnAFa-K2eID1Dcemqtmnkydqclb0SyrC60DqmUDMrzjJTkh7sXh6G85oeiKLDI0-lkM
Ethyne (C≡C) *two p orbitals are left out
180
https://lh7-us.googleusercontent.com/vE06DKJ9LwS1xgEq39_-Dy8SCqygazgGtHGisrTk2ZhiFKCEPw6mV6mmoLpj37CgHBogCqyiiyfuE8aSvI8uJsaH2x_newAvxTK9C1yhKIlkVhu9dDRKhDyglFU7Y5TW46YiLt2sO-mJu_gARCprDfw
https://lh7-us.googleusercontent.com/GWJZdjuK65Wl8lnrhgnCDaVIC6qANbElHM9OkKrL-4A5W7-YbiGfkXWVKV292VC9Zz7wss6MoAkY75VgQSb4AMrIBiKyjZqTsUfZkjfMoKRZJsfkmQGlFm8JMFNepQnhAdJLgbiMyY_ag9wGO_w-IgI
No hybridisation needed for F2  ˙.˙ only 𝝈 one bond required
Hybridization
Example
e- domain
e- domain geometry
Molecular geometry
sp
CO2
2
linear
linear
sp2
C2H4, graphite
3
Trigonal planar
Planar triangular
sp2
SO2
3
V-shaped
sp3
CH4, diamond
4
tetrahedral
tetrahedral
sp3*
NH3
4
pyramidal
sp3*
H2O
4
V-shaped
lone pairs occupy hybridized orbitals