2.3.9Chemical Bonding

Effect of lone pairs on geometry (e.g. H₂O bent, NH₃ pyramidal)

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WHAT is going on?

The key move: count domains to get the base geometry, then delete the lone-pair positions to name the shape.

Central atom Bond pairs (BP) Lone pairs (LP) Electron geometry Molecular shape Angle
C (CH₄) 4 0 tetrahedral tetrahedral 109.5°
N (NH₃) 3 1 tetrahedral pyramidal 107°
O (H₂O) 2 2 tetrahedral bent 104.5°

WHY do lone pairs shrink the angle?

So the repulsion ordering (Feynman-verify this feels right) is: LP–LP  >  LP–BP  >  BP–BP\text{LP–LP} \;>\; \text{LP–BP} \;>\; \text{BP–BP}

Recall Why does that ordering

feel right? Because both electrons of a lone pair sit near the SAME atom (one attraction center), the cloud bulges out; two electrons of a bond are split between two atoms, pulled thin. More bulge near the central atom = more elbowing of its neighbors.

Consequence: every lone pair pushes the remaining bonds together, so each lone pair typically knocks the bond angle down by ~2–2.5° from the ideal 109.5°.

109.5°1 LP (NH3)107°2 LP (H2O)104.5°109.5° \xrightarrow{\text{1 LP (NH}_3)} 107° \xrightarrow{\text{2 LP (H}_2\text{O})} 104.5°


HOW to predict any shape (the recipe)

Derivation of the electron count (from scratch, no memorizing):

  1. Central atom brings VV valence electrons.
  2. Each single bond uses 1 electron from the central atom to pair with 1 from the ligand.
  3. Electrons of the central atom left over after making bonds must pair up as lone pairs.

Worked count — H₂O:

  • O has V=6V = 6. It forms 2 O–H bonds → uses 2 electrons in bonds.
  • Left over =62=4= 6 - 2 = 4 electrons =4/2=2= 4/2 = 2 lone pairs. ✔
  • SN =2+2=4= 2 + 2 = 4 → tetrahedral electron geometry → bent.

Why this step? We subtract bonding electrons and halve the rest because electrons must be spin-paired to occupy a lone-pair orbital.

Worked count — NH₃:

  • N has V=5V = 5, forms 3 N–H bonds → uses 3 electrons.
  • Left over =53=2=1= 5 - 3 = 2 = 1 lone pair. SN =3+1=4= 3 + 1 = 4 → tetrahedral base → pyramidal.

Figure — Effect of lone pairs on geometry (e.g. H₂O bent, NH₃ pyramidal)

Worked examples


Common mistakes


Flashcards

Why does a lone pair repel more than a bonding pair?
A lone pair is held by only one nucleus, so its electron cloud is fatter and closer to the central atom, occupying more angular space.
Order the repulsion strengths of electron pairs.
LP–LP > LP–BP > BP–BP.
What is the steric number and how do you find it?
SN = (atoms bonded) + (lone pairs on central atom); it fixes the electron geometry.
Electron geometry and shape of H₂O?
Tetrahedral electron geometry; bent molecular shape; 104.5°.
Electron geometry and shape of NH₃?
Tetrahedral electron geometry; trigonal pyramidal shape; 107°.
Why is CH₄ 109.5° but NH₃ 107° and H₂O 104.5°?
Each added lone pair (0→1→2) squeezes the bond angle by ~2.5° due to stronger lone-pair repulsion.
Why is NH₄⁺ exactly 109.5° while NH₃ is 107°?
NH₄⁺ has 0 lone pairs (all 4 domains are bonds), so bonds relax to the symmetric tetrahedral ideal.
Number of lone pairs on O in water, from electron count?
O has 6 valence e⁻; 2 used in bonds; (6−2)/2 = 2 lone pairs.
Why is H₂O bent and not linear like CO₂?
Water's O has 2 lone pairs (SN 4); CO₂'s C has none (SN 2), so only water gets bent.
Where does the lone pair go in SF₄ (SN 5) and why?
Equatorial position, to minimise the number of strongly-repulsive 90° neighbours.


Connections

  • VSEPR Theory — the parent framework this note applies.
  • Hybridization — sp³ on N and O explains the tetrahedral base geometry.
  • Bond angle and electronegativity — ligand electronegativity also tweaks angles.
  • Dipole moment — bent H₂O and pyramidal NH₃ are polar because lone pairs break symmetry.
  • Steric number and molecular shape — the counting recipe generalized.
  • Trigonal bipyramidal geometry — where lone pairs prefer equatorial sites (SF₄, ClF₃).

Concept Map

counted as

SN equals

arranged as

delete lone pair positions

held by one nucleus

repels harder

shrinks

each LP drops ~2.5°

occupies a

LP equals V minus bonds over 2

examples

Electron domains

Steric number SN

Bonds plus lone pairs

Electron geometry

Molecular shape

Lone pair

Fatter cloud

LP-LP > LP-BP > BP-BP

Bond angle

NH3 107° H2O 104.5°

Valence electrons V

CH4 tetrahedral NH3 pyramidal H2O bent

Hinglish (regional understanding)

Intuition Hinglish mein samjho

Dekho, idea simple hai: har central atom ke aas-paas jitne bhi electron ke "groups" hote hain — chahe wo bond pair ho ya lone pair — wo ek doosre se door bhagte hain (repulsion). Yehi VSEPR ka funda hai. Lekin twist ye hai ki lone pair zyada jagah ghairta hai kyunki wo sirf ek hi nucleus se attach hota hai, toh uska cloud thoda phaila hua aur mota hota hai. Isliye lone pair, bond pairs ko zyada dhakka deta hai.

CH₄ mein carbon par koi lone pair nahi — chaaro bond barabar phailte hain, angle poora 109.5°. Ab NH₃ dekho: nitrogen par 1 lone pair hai, wo teeno N–H bonds ko neeche daba deta hai, angle gir ke 107°, aur shape ban jaata hai pyramidal. H₂O mein oxygen par 2 lone pairs hain, double dhakka, angle aur gir ke 104.5°, shape bent. Yaad rakho: har lone pair roughly 2.5° angle kaat deta hai.

Ek common galti: log kehte hain "H₂O bhi CO₂ jaisa linear hoga" — nahi bhai. CO₂ ke carbon par lone pair hai hi nahi (SN 2), isliye linear. Water ke oxygen par 2 lone pairs hain (SN 4), isliye bent. Hamesha lone pairs count karo, sirf atoms mat ginno.

Yeh cheez important isliye hai kyunki shape se hi molecule ki polarity, dipole moment, aur reactivity decide hoti hai. Water bent hai isiliye polar hai, isiliye wo "universal solvent" hai — agar linear hota toh dipoles cancel ho jaate. Toh lone pairs ka geometry par effect samajhna = poori chemistry ka base pakadna.

Go deeper — visual, from zero

Test yourself — Chemical Bonding

Connections