MHT-CET Chemistry · Formula sheet
Chemical Bonding and Molecular Structure formulas
6 formulas, 10 reference tables and 41 common traps for MHT-CET Chemistry Chemical Bonding and Molecular Structure, grouped by subtopic.
Ionic and Covalent Bonding, Lewis Structures and Octet Rule
Learn this subtopic in the notesFormal charge on an atom in a Lewis structure
Formal charge
- valence electrons of the free atom
- lone-pair (non-bonding) electrons on the atom
- bonding electrons around the atom (2 per single bond)
The octet rule and the three ways atoms bond
| Bond type | How the octet is reached | Formed between | Example |
|---|---|---|---|
| Ionic (electrovalent) | Electrons transferred (lost / gained) | Metal + non-metal | , |
| Covalent | One pair shared, one electron from each atom | Non-metal + non-metal | , |
| Coordinate (dative) | Shared pair donated by one atom only | Donor with a lone pair | , Once formed, a coordinate bond is identical to any ordinary covalent bond — the label only records where the pair came from. |
Fajans' rules — covalent character of an ionic bond
| Factor | Effect on covalent character | Bank example |
|---|---|---|
| Smaller cation | More covalent (stronger polariser) | most covalent among LiCl, LiI, NaCl, NaIQ |
| Larger anion | More covalent → least ionic | has the lowest ionic character ()Q |
| Higher cation charge | More covalent | more covalent than , , Q |
| Small + highly-charged ions | Highest lattice enthalpy | highest among LiCl, NaCl, , Q Lattice enthalpy scales with charge density (charge / size), the same driver as polarising power. |
Exceptions to the octet rule
| Exception type | Electron count on central atom | Examples |
|---|---|---|
| Incomplete octet | Fewer than 8 | , , Q is quoted as incomplete because has a 2-electron duplet, not an octet. |
| Expanded octet | More than 8 (uses d-orbitals) | , , |
| Odd-electron molecule | Odd total → one unpaired electron | , Q |
| Obeys the octet (for contrast) | Exactly 8 | , , Q |
Lewis structures, resonance count and electrons around an atom
| Species / term | Key count or definition | Answer the bank wants |
|---|---|---|
| (nitrite) | Double bond can sit on either O | 2 resonance (Lewis) structuresQ |
| Electrons around S in | 2 single + 2 double bonds = 4 bonds | 12 electronsQ |
| Lewis acid | Electron-pair acceptor | Accepts an electron pair (not 'donates ')Q A Lewis acid need not contain hydrogen — is a Lewis acid because boron accepts a lone pair. |
| Lewis base | Electron-pair donor | Donates an electron pair (e.g. ) |
Common traps
A coordinate bond is still a covalent bond
Duplet for H and Li, octet for the rest
Ionic character is the reverse of covalent character
Charge density, not molar mass, sets lattice enthalpy
Odd electrons cannot complete an octet
Expanded octet needs period-3 (or lower) and d-orbitals
Lewis acid = electron-pair acceptor, NOT proton donor
A double bond is 4 electrons when you total around an atom
Use half the bonding electrons, not all of them
Count lone-pair electrons, not lone pairs
Hybridization
Learn this subtopic in the notesDetermining a central atom's hybridization
Steric number
- steric number, which fixes the hybridization
- atoms directly bonded (each multiple bond counts once)
- non-bonding electron pairs on the central atom
Valence bond theory: sigma and pi bonds
| Bond | Sigma and pi | Example |
|---|---|---|
| Single bond | ; C-C in ethane | |
| Double bond | in ethene; | |
| Triple bond | in ethyne; |
The steric-number master table
| Steric number | Hybridization | Geometry | Bond angle | Example |
|---|---|---|---|---|
| 2 | Linear | , Q Acetylene has carbons (two atoms + one triple bond that counts as one ) — the bank's classic example. | ||
| 3 | Trigonal planar | , Q Trigonal planar geometry means — the answer to 'which hybridisation gives trigonal geometry'. | ||
| 4 | Tetrahedral | , , | ||
| 5 | Trigonal bipyramidal | , Q is (4 bond pairs + 1 lone pair = SN 5); the lone pair distorts it to a see-saw shape but the hybridization stays . | ||
| 6 | Octahedral | , Q is (4 bond pairs + 2 lone pairs = SN 6), square planar — NOT . |
Common traps
The first bond is always sigma
Sigma is stronger than pi; pi locks rotation
Hybrids formed = orbitals mixed, not bonds made
Geometry name reports atoms only; SN includes lone pairs
d-orbitals only appear from steric number 5
Count lone pairs on the central atom, not just the atoms
A multiple bond is one atom, not two, in the steric count
VSEPR Theory and Molecular Geometry
Learn this subtopic in the notesCounting bond pairs and lone pairs on the central atom
Lone pairs on the central atom
- valence electrons of the central atom
- bond pairs = number of atoms bonded to it (single bonds)
- lone pairs left on the central atom
The master shape table (AXnEm to geometry)
| Type (AXnEm) | Bond pairs / Lone pairs | Shape | Ideal bond angle | Example |
|---|---|---|---|---|
| 2 / 0 | Linear | , | ||
| 3 / 0 | Trigonal planar | |||
| 2 / 1 | Bent (angular) | about | ||
| 4 / 0 | Tetrahedral | , , Q | ||
| 3 / 1 | Trigonal pyramidal | |||
| 2 / 2 | Bent (angular) | , Q | ||
| 5 / 0 | Trigonal bipyramidal | and | Q | |
| 4 / 1 | See-saw | , | , Q has a trigonal-bipyramidal parent geometry but a see-saw shape — the bank tests both the type-to-shape and the parent-geometry versions. | |
| 3 / 2 | T-shaped | about | , , | |
| 2 / 3 | Linear | |||
| 6 / 0 | Octahedral | |||
| 5 / 1 | Square pyramidal | about | , Q | |
| 4 / 2 | Square planar | Q |
Bond angles and how lone pairs shrink them
| Molecule | Bond pairs / Lone pairs | Bond angle | Note |
|---|---|---|---|
| 4 / 0 | Ideal tetrahedral — no lone pair to distort. | ||
| 3 / 1 | One lone pair shrinks a little. | ||
| 2 / 2 | Two lone pairs shrink it further. | ||
| 3 / 0 | Trigonal planar, no lone pair — full angle.Q | ||
| 2 / 1 | about | Bent; one lone pair barely dents the parent.Q SO is the O–S–O the bank tests — not or ; its parent is trigonal, not tetrahedral. |
Common traps
Lone pairs count toward the electron geometry but not the described shape
'Regular geometry as expected' means zero lone pairs
Count lone pairs on the central atom only
BF₃ has zero lone pairs — boron is electron-deficient
H₂O is bent, not linear
SF₄ is not tetrahedral — it has a lone pair
Parent geometry versus molecular shape
SO₂ is 119.5°, not 109.5°
More lone pairs, smaller angle
Molecular Orbital Theory and Bond Order
Learn this subtopic in the notesBond order from the MO configuration
Bond order
- number of electrons in bonding molecular orbitals
- number of electrons in antibonding molecular orbitals
Magnetic behaviour, bond length and stability
Bond order controls length and strength
Bond order and magnetic nature of common species
| Species | Total electrons | Bond order | Magnetic nature |
|---|---|---|---|
| 2 | 1 | Diamagnetic | |
| 6 | 1 | Diamagnetic | |
| 14 | 3 | Diamagnetic | |
| 13 | 2.5 | Paramagnetic One electron removed from a bonding orbital, so bond order drops to 2.5. | |
| 16 | 2 | Paramagnetic Two unpaired electrons in — the classic paramagnetic diatomic. | |
| 15 | 2.5 | Paramagnetic | |
| 17 | 1.5 | Paramagnetic | |
| 18 | 1 | Diamagnetic | |
| 14 | 3 | Diamagnetic Isoelectronic with ; MOT gives bond order 3, not the Lewis double bond. | |
| 15 | 2.5 | Paramagnetic Odd-electron molecule: one unpaired electron in a orbital. |
Common traps
Count TOTAL electrons, and adjust for an ion's charge
Only σ* and π* orbitals count as antibonding
Ions can have a fractional bond order
MOT bond order can differ from the Lewis picture
O2 is paramagnetic — the two unpaired electrons
Higher bond order = shorter bond, not longer
O2 is paramagnetic even though its bond order is a whole number
Dipole Moment, Polarity and Intermolecular Forces
Learn this subtopic in the notesDipole moment: definition and comparison
Dipole moment
- dipole moment (debye, D)
- magnitude of the separated charge
- distance between the positive and negative charge centres
Types of intermolecular force
| Force | Acts between | Strength | Example pair |
|---|---|---|---|
| London / dispersion | Any molecules (even non-polar) | Weakest (grows with size) | CH4 + C2H6 Present in every substance; the ONLY force in non-polar molecules. Largest among HX in HI (biggest, most polarisable). |
| Dipole–induced dipole (Debye) | One polar + one non-polar molecule | Weak | NH3 + C6H6Q |
| Dipole–dipole | Two polar molecules | Moderate (bigger dipole → stronger) | HF, HCl (polar HX) Strongest dipole–dipole among the hydrogen halides is HF, because F gives the largest bond dipole. |
| Hydrogen bonding | H on N/O/F, near a lone pair on N/O/F | Strongest of these | H2O, NH3, HF, alcohols |
Common traps
Dipole moment is a vector — add directions, not magnitudes
Bigger electronegativity difference → bigger bond dipole
Polar bonds do NOT guarantee a polar molecule
CHCl3 is polar; CCl4 is not
Dipole–dipole vs dispersion point to different HX
Match the force to the pair's polarity
No H on N/O/F means no hydrogen-bond donor
H2S does not hydrogen-bond like H2O
More MHT-CET Chemistry formula sheets
- Alcohols, Phenols and Ethers
- Aldehydes, Ketones and Carboxylic Acids
- Alkanes
- Alkenes
- Amines
- Basic Principles of Organic Chemistry
- Biomolecules
- Chemical Kinetics
- Chemical Thermodynamics and Energetics
- Coordination Compounds
- Electrochemistry
- Elements of Group 16, 17 and 18
- Green Chemistry and Nanochemistry
- Halogen Derivatives of Alkanes
- Introduction to Polymer Chemistry
- Ionic Equilibria
- Redox Reactions
- Solid State
- Solutions and Colligative Properties
- Some Basic Concepts of Chemistry
- States of Matter
- Structure of Atom
- Surface Chemistry
- Transition and Inner Transition Elements