Chemical Bonding and Molecular Structure
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1. Kossel-Lewis Octet Rule and Ionic Bond
Imagine atoms are like people in a small Indian colony who always want to feel complete and secure. Just like we feel settled when our house has all essentials, atoms feel most stable when their outer shell has 8 electrons, exactly like the noble gases with ns2 np6 configuration. This desire to become stable is the heart of the Kossel-Lewis octet rule — atoms will either transfer or share electrons to reach that full octet.
Think of your kitchen salt dabba. When a highly giving metal like sodium, which has low ionization enthalpy and loses electrons easily, meets a very demanding non-metal like chlorine with high electronegativity, sodium donates one electron to chlorine. Sodium becomes Na+ with [Ne] configuration and chlorine becomes Cl- with [Ar] configuration. Now they are opposite charges stuck together by strong electrostatic attraction — this is the ionic bond. We show only the outer electrons as dots in Lewis dot structures, for example Na· + :Cl: with seven dots gives Na+ [:Cl:]- with a full octet.
But nature has exceptions, just like not every family follows the same rule. Some molecules are stable with less than 8 electrons, like BeCl2 with only 4 electrons around Be and hydrogen with just 2. Some have odd electrons like NO and NO2, and some cleverly expand their octet using empty d-orbitals, like PCl5 with 10 electrons and SF6 with 12 electrons around the central atom.
Revision: Kossel-Lewis octet rule says atoms seek 8 outer electrons (ns2 np6) like noble gases for stability. Ionic bond forms by electron transfer from metal (low IE) to non-metal (high EN) creating Na+ and Cl- held by electrostatic force, shown by Lewis dot symbols. Exceptions: incomplete octet (BeCl2, H), odd-electron (NO, NO2), expanded octet (PCl5=10e-, SF6=12e-) using d-orbitals.
Ionic Bond and Lewis Dot Octet Rule
Quick Revision: Octet 8e- ns2 np6 stable. Ionic transfer metal to non-metal Na+ Cl-. Lewis dots. Exceptions incomplete BeCl2 odd NO expanded PCl5 SF6.
2. Lattice Enthalpy and Born-Haber Cycle
When salt crystals are sitting in your kitchen, they are not just Na+ and Cl- sitting lazily — they are tightly packed in a massive lattice. The energy needed to completely break apart one mole of that solid into free gaseous ions is called lattice enthalpy. The more negative its value, the more stable the crystal. It becomes higher when the charge is high and size is small — just like two small powerful magnets hold much tighter than two large weak ones.
The Born-Haber cycle is like maintaining a family expense account using Hess's law. To make NaCl from its elements, you must count every step: sublimation of Na(s) to Na(g), ionization of Na to Na+ + e-, dissociation of ½ Cl2 to Cl(g), electron gain enthalpy for Cl + e- to Cl-, and finally the lattice formation of Na+ + Cl- to NaCl(s). Add all these energies step by step and you get the overall formation enthalpy of the salt.
Revision: Lattice enthalpy is energy to separate 1 mole solid ionic compound into gaseous ions — more negative means more stable, increases with high charge and small size. Born-Haber cycle applies Hess's law: sublimation of Na + ionization + dissociation of ½ Cl2 + electron gain + lattice formation = formation enthalpy of NaCl.
Lattice Enthalpy and Born-Haber Cycle
Quick Revision: Lattice separate solid to gas high charge small size high. Born-Haber Hess law cycle.
3. Covalent Bond Lewis Formal Charge Resonance
If ionic bond is like giving away food, covalent bond is like sharing a tiffin — two atoms share electrons equally. When they share one pair (2 electrons) it is a single bond, H-H, two pairs (4 electrons) is a double bond, O=O, and three pairs (6 electrons) is a triple bond, N≡N. Always remember, more bonds mean shorter and stronger bond.
To draw any molecule we follow a simple home recipe with Lewis structures: first count total valence electrons, make a skeleton with the least electronegative atom at the centre, then distribute electrons to complete octets, and finally check formal charge. Formal charge is calculated as FC = valence electrons – non-bonding electrons – half of bonding electrons. The best structure has FC closest to zero and negative charge on the more electronegative atom. For example, CO2 as O=C=O has all atoms with FC zero, so it is very stable.
Sometimes one Lewis picture is not enough. When you can draw multiple valid structures differing only in electron position, not atom position, that is resonance. The real molecule is a hybrid, an average of all. Ozone O3 is shown as O-O=O ↔ O=O-O with bond order 1.5, and nitrate NO3- has three equal resonance forms where all N-O bonds become identical and charge is spread out, making it extra stable.
Revision: Covalent bond is sharing — single (2e-), double (4e-), triple (6e-), more bonds = shorter & stronger. Lewis method: count valence, skeleton with least EN central, complete octet, check FC. FC = valence - nonbonding - ½ bonding, best near zero. Resonance: multiple valid Lewis structures, real is hybrid average — O3 bond order 1.5, NO3- three equal forms spreading charge.
Covalent Bond Lewis Formal Charge Resonance
Quick Revision: Covalent sharing single double triple shorter stronger. FC=valence-nonbonding-half bonding best near zero. Resonance hybrid O3 NO3-.
4. VSEPR Theory Shapes
Think of electron pairs around a central atom as guests in a crowded Mumbai local train who all want maximum space — they repel each other and try to stay as far apart as possible. This idea is the VSEPR theory – Valence Shell Electron Pair Repulsion, which decides the shape of the molecule.
The repulsion is not equal for all. A lone pair needs more space than a bond pair, just like a person with two heavy bags needs more space, so the order is lone pair-lone pair repulsion > lone pair-bond pair > bond pair-bond pair. That is why shapes get distorted when lone pairs are present. With 2 pairs, shape is linear 180° like BeCl2; with 3 pairs, trigonal planar 120° like BF3; with 4 pairs, tetrahedral 109.5° like CH4. Add one lone pair and it becomes pyramidal 107° like NH3, and with two lone pairs it becomes bent 104.5° like H2O because lone pairs push the bonds closer.
When you have 5 pairs, the base is trigonal bipyramidal with 90° and 120° like PCl5. One lone pair gives see-saw shape like SF4, two lone pairs give T-shape like ClF3, and three lone pairs give linear like XeF2. With 6 pairs, it is octahedral 90° like SF6, one lone pair becomes square pyramidal like BrF5, and two lone pairs become square planar like XeF4.
Revision: VSEPR: electron pairs repel to stay farthest — lp-lp > lp-bp > bp-bp. 2 linear 180° BeCl2, 3 trigonal 120° BF3, 4 tetrahedral 109.5° CH4, 4 with 1 lp pyramidal 107° NH3, 2 lp bent 104.5° H2O. 5 trigonal bipyramidal PCl5, 1 lp see-saw SF4, 2 lp T-shape ClF3, 3 lp linear XeF2. 6 octahedral SF6, 1 lp square pyramidal BrF5, 2 lp square planar XeF4.
VSEPR Theory Shapes
Quick Revision: VSEPR lp-lp>lp-bp>bp-bp. 2 linear 180 3 trigonal 120 4 tetrahedral 109.5 4+1lp pyramidal 107 4+2lp bent 104.5 5 trigonal bipyramidal PCl5 6 octahedral SF6 etc.
5. Valence Bond Theory and Hybridization
Valence bond theory is like two friends shaking hands — a bond forms when half-filled orbitals with opposite spins overlap, and electron density gets shared right between the two nuclei. More overlap means a stronger bond.
Sometimes an atom, like a smart shopkeeper reorganizing his shelves for better display, mixes its own s, p and d orbitals of similar energy to make brand new equal orbitals called hybrid orbitals — this is hybridization by Pauling. It gives better overlap and proper direction. For sp hybridization, 1s + 1p gives 2 hybrids, linear 180° like BeCl2. For sp2, 1s + 2p gives 3 hybrids, trigonal planar 120° like BF3 and boron in ethene where sp2 forms sigma and unhybridized p forms pi. For sp3, 1s + 3p gives 4 hybrids, tetrahedral 109.5° like CH4 sp3 carbon, NH3 with 1 lone pair becomes pyramidal 107°, and H2O with 2 lone pairs becomes bent 104.5°.
When d-orbitals join, you get bigger shapes: dsp2 (1d + 1s + 2p) gives 4 hybrids, square planar 90° like XeF4 and [Ni(CN)4]2-, sp3d (1s + 3p + 1d) gives 5 hybrids, trigonal bipyramidal 90° and 120° like PCl5, and sp3d2 (1s + 3p + 2d) gives 6 hybrids, octahedral 90° like SF6.
Revision: Valence bond: bond by overlap of half-filled orbitals with opposite spins. Hybridization: mixing s,p,d of similar energy into new equal hybrids for better overlap. sp=2 linear 180° BeCl2, sp2=3 trigonal 120° BF3, sp3=4 tetrahedral 109.5° CH4 (NH3 pyramidal, H2O bent). dsp2=4 square planar 90° XeF4, sp3d=5 trigonal bipyramidal PCl5, sp3d2=6 octahedral SF6.
Hybridization sp sp2 sp3 CH4 BF3 BeCl2
Hybridization dsp2 sp3d sp3d2 PCl5 SF6 Square Planar
Quick Revision: VB overlap half-filled opposite. Hybridization sp 2 linear 180 BeCl2 sp2 3 trigonal 120 BF3 sp3 4 tetrahedral 109.5 CH4 dsp2 4 square planar XeF4 sp3d 5 trigonal bipyramidal PCl5 sp3d2 6 octahedral SF6.
6. Molecular Orbital Theory LCAO Bond Order Magnetic
Till now we talked of atoms sharing electrons locally, but Molecular Orbital Theory (MOT) by Hund and Mulliken says atomic orbitals of the whole molecule merge to form new molecular orbitals. This is LCAO – Linear Combination of Atomic Orbitals. When waves add, you get a bonding orbital (lower energy, electron density between nuclei, stable) and when they subtract, you get an antibonding orbital (node between nuclei, unstable). Head-on overlap gives sigma orbitals which are symmetrical with no nodal plane along the bond axis, side-wise overlap gives pi orbitals with a nodal plane that contains the axis.
The strength is measured by Bond Order = (Nb – Na)/2, where Nb is electrons in bonding and Na in antibonding orbitals. Higher bond order means stronger and shorter bond. If bond order is zero, the molecule does not exist, like He2 with no bond. MOT also beautifully explains magnetism: if all electrons are paired, it is diamagnetic; if there are unpaired electrons, it is paramagnetic. Oxygen O2 is paramagnetic with two unpaired electrons in pi* orbitals — something valence bond theory could never explain.
Look at the family from H2 to F2: H2 has BO 1 diamagnetic, He2 BO 0 unstable and does not exist, B2 is surprisingly paramagnetic with 2 unpaired electrons though BO is 1, C2 has BO 2 diamagnetic with both pi bonds and no sigma, N2 has BO 3 triple bond diamagnetic, O2 has BO 2 paramagnetic with 2 unpaired electrons, and F2 has BO 1 diamagnetic.
Revision: MOT LCAO: atomic orbitals combine to whole molecule — bonding (lower, density between, stable) and antibonding (node, unstable), sigma head-on, pi sideways. Bond Order = (Nb-Na)/2, higher = stronger/shorter, BO 0 = no bond like He2. Magnetism: paired = dia, unpaired = para — O2 has 2 unpaired pi* electrons para. Order: B2 BO1 para, C2 BO2 dia, N2 BO3 diamagnetic triple, O2 BO2 para, F2 BO1 dia.
MOT LCAO Sigma Pi
MOT Diagrams H2 to F2 Bond Order Magnetic
Quick Revision: MOT LCAO bonding lower antibonding nodal. BO=(Nb-Na)/2 BO0 unstable He2. Magnetic paired dia unpaired para O2 para. B2 BO1 para C2 BO2 dia N2 BO3 triple O2 BO2 para F2 BO1.
7. Hydrogen Bonding and Summary
Imagine you have a person (hydrogen) already holding hands tightly with a very possessive partner (F, O or N), but still trying to hold another very electronegative person with a lone pair nearby — that partial extra attraction is the H-bond. It is weaker than a covalent bond but much stronger than van der Waals forces, around 10-40 kJ/mol.
When this happens between two different molecules, it is intermolecular H-bonding. That is why water and HF have unusually high boiling points, and why in DNA, A-T are held by 2 H-bonds and G-C by 3 H-bonds like perfect jodi pairs. When it happens within the same molecule, it is intramolecular H-bonding, like in o-nitrophenol and salicylaldehyde, which actually reduces boiling point because the molecule cannot H-bond with its neighbours.
To tie everything together — ionic bonds are electron transfer with high lattice energy, covalent bonds are sharing checked by formal charge and resonance, coordinate bonds are when one atom donates both electrons, VSEPR tells us electron pairs repel and decide shape, hybridization explains mixing of s, p, d to get better overlap, MOT with LCAO explains bond order and magnetic behaviour, and H-bonding adds that extra sticky attraction between molecules that decides boiling points and DNA stability.
Revision: H-bond: H attached to F/O/N attracted to lone pair of F/O/N of another or same molecule, 10-40 kJ/mol — weaker than covalent, stronger than van der Waals. Intermolecular raises bp — H2O, HF, DNA A-T 2 bonds, G-C 3 bonds. Intramolecular like o-nitrophenol lowers bp. Summary: ionic transfer, covalent sharing + resonance, VSEPR shape, hybridization overlap, MOT LCAO bond order & magnetism, H-bonding.
Hydrogen Bonding Inter Intra
Chemical Bonding Summary Chart
Quick Revision: H-bond H-F/O/N...F/O/N 10-40 kJ inter H2O HF DNA intra o-nitrophenol. Summary ionic transfer lattice covalent sharing formal resonance coordinate VSEPR hybridization MOT H-bond.
Gold Reference - Chapter 4
| Concept | Formula | Example |
|---|
| Formal Charge | FC=V-N-B/2 | Best near 0 |
| VSEPR | lp-lp>lp-bp>bp-bp | CH4 109.5 NH3 107 H2O 104.5 |
| Hybridization | sp 2 linear sp2 3 trigonal sp3 4 tetrahedral | BeCl2 180 BF3 120 CH4 109.5 PCl5 90 120 SF6 90 |
| Bond Order | (Nb-Na)/2 | H2 1 He2 0 O2 2 N2 3 |
| Magnetic | Unpaired para Paired dia | O2 para 2 B2 para |
| H-Bond | H-F/O/N...F/O/N | H2O HF high bp DNA |
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