Organic Chemistry 1 · Structure and Bonding
Molecular Geometry and Hybridization
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VSEPR theory Electron domains repel to minimize repulsion Full entry → predicts shape by assuming electron domains (bonds and lone pairs) spread as far apart as possible, giving tetrahedral (4 domains), trigonal planar (3), and linear (2) geometries. Valence-bond theory Bonds form by orbital overlap Full entry → describes bonds as overlapping orbitals: carbon hybridizes its orbitals into sp³, sp², or sp sets to match its geometry. Single bonds are one Sigma (σ) bond Head-on overlap along the bond axis; double bonds add a Pi (π) bond Side-by-side p-orbital overlap Full entry →; triple bonds add two. More s character shortens and strengthens bonds and increases acidity.
Why this matters
Molecular geometry Arrangement of only the atoms Full entry → determines whether a drug fits its protein target — the "lock-and-key" of pharmacology. A drug's three-dimensional shape and the rigid planar geometry of its sp² and sp regions control docking into an enzyme's active site. The same planarity dictates protein and DNA structure and lets chemists judge whether a candidate can adopt the shape needed to bind its receptor.
The college version
1. VSEPR Theory
VSEPR theory (Valence Shell Electron Pair Repulsion) holds that electron domains — bonds and lone pairs — repel and arrange to minimize that repulsion. Electron-domain geometry Arrangement of all domains (bonds + lone pairs) Full entry → counts all domains; molecular geometry counts only atoms (lone pairs occupy space but are invisible in the shape). Two domains give linear (180°), three trigonal planar (120°), four tetrahedral (109.5°). Lone pairs repel more than bonding pairs, compressing angles (water's H–O–H is 104.5°).
2. Valence-Bond Theory and Hybridization
Valence-bond theory describes a covalent bond as the overlap of atomic orbitals, each holding one electron. Hybridization mixes an atom's s and p orbitals into equivalent hybrids pointing in the directions VSEPR demands: sp³ (one s + three p → four orbitals, tetrahedral), sp² (one s + two p → three orbitals plus one leftover p, trigonal planar), sp (one s + one p → two orbitals plus two leftover p, linear). The leftover p orbitals make π bonds.
3. Sigma and Pi Bonds
A sigma (σ) bond comes from head-on overlap along the bond axis; it is cylindrically symmetrical and allows rotation. A pi (π) bond comes from side-by-side overlap of parallel p orbitals above and below the axis. A single bond is one σ; a double bond is one σ + one π; a triple bond is one σ + two π. π bonds lock atoms in place, preventing rotation around double bonds — the origin of cis/trans isomerism.
4. Bond Lengths, Strengths, and the Hybridization–Acidity Relationship
As s character rises (sp³ → sp² → sp), orbitals hold electrons closer to the nucleus, so bonds get shorter and stronger and bond angles open (109.5° → 120° → 180°). The same effect changes acidity: more s character holds the electron pair tighter, stabilizing the conjugate base's lone pair. Hence the Hybridization–acidity relationship More s character → more acidic C–H Full entry →: sp C–H (alkyne, pKₐ ≈ 25) is more acidic than sp² C–H (alkene, ≈ 44), which is more acidic than sp³ C–H (alkane, ≈ 50).
How it works
- Count electron domains (bonds and lone pairs) around the atom.
- Convert the count to geometry: 2 → linear, 3 → trigonal planar, 4 → tetrahedral.
- Choose the matching hybridization: sp, sp², or sp³.
- Assign σ bonds to hybrids and π bonds to leftover p orbitals.
- Apply s-character trends to bond length/strength and acidity.
Common confusions
| Do not confuse | With | Difference |
|---|---|---|
| Electron-domain geometry | Molecular geometry | Domains include lone pairs; geometry ignores them |
| Hybridization | Physical mixing of orbitals | It is mathematical recombination |
| σ bond | π bond | Head-on vs side-by-side overlap |
| Double bond stronger | Double bond longer | More bonds → stronger and shorter |
| Atom hybridization | Whole-molecule shape | An sp² carbon is planar only locally |
Memory aids
Remember "Straight, Triangle, Tetra": sp → straight (linear, 180°), sp² → trigonal (three, 120°), sp³ → tetrahedral (four, 109.5°). The exponent plus one equals the number of domains.
Quick review
Topic Recap
VSEPR turns electron-domain counts into the three core geometries — tetrahedral, trigonal planar, and linear. Valence-bond theory rationalizes them through sp³, sp², and sp hybridization, with σ bonds from hybrid overlap and π bonds from leftover p orbitals. Single, double, and triple bonds are σ/π combinations, and s character governs bond angles, lengths, strengths, and C–H acidity. This bridges atomic structure to the reactivity covered in later topics.
Knowledge Check
- How many electron domains surround nitrogen in ammonia (NH₃), and what is the electron-domain geometry?
- What is the hybridization of each carbon in ethene?
- Which bond is longer and weaker — C–C or C=C — and why?
- Why can a C=C double bond not rotate freely?
- Rank alkane (sp³), alkene (sp²), and alkyne (sp) C–H bonds by acidity.
Answers and Rationales
- Four domains (three N–H bonds + one lone pair) → tetrahedral electron-domain geometry; molecular geometry is trigonal pyramidal (lone pair uncounted).
- Each carbon is sp² (three domains: two C–H bonds and one C=C double bond counted as a single domain).
- The single bond is longer and weaker: a double bond's extra π overlap pulls atoms closer, shortening and strengthening it.
- Rotation would break the side-by-side π overlap; the p orbitals must stay parallel, locking the double bond planar.
- Alkyne (sp) > alkene (sp²) > alkane (sp³) — more s character stabilizes the conjugate base's lone pair.

Eli explains
The same idea, in plain words
Explain it like I’m 10
Imagine tying balloons together: they push apart as far as possible — four form a tetrahedron, three a flat triangle, two a straight line. That is VSEPR: electron "balloons" maximize separation. For hybridization, think of mixing letters to make new sounds — carbon combines its s and p orbitals into hybrids matching the shape it needs: sp³ for four balloons, sp² for three, sp for two. The analogy stops being exact because hybridization is a mathematical recombination of wave functions, not a physical mixing of objects, and the hybrids are only approximate descriptions of where electrons are.
Simple Example
Methane, CH₄, has four C–H bonds in a tetrahedron (109.5°); carbon's 2s and three 2p orbitals combine into four equivalent sp³ hybrids. Ethene (CH₂=CH₂) is trigonal planar at each carbon (sp²); ethyne (HC≡CH) is linear (sp).
Worked example
We assign geometry and hybridization to the carbons of acetaldehyde, CH₃CHO (a structure assignment; no electrons move).
- Count electron domains per carbon. The methyl carbon has four single bonds → four domains → tetrahedral, sp³.
- The carbonyl carbon has three domains — C–C, C–H, and C=O (the double bond counts as one domain despite holding four electrons) → trigonal planar, sp².
- Assign bonds: three σ bonds from sp² overlap, plus one π bond from the leftover p orbital overlapping oxygen's p orbital (C=O).
- Predict angles: ~109.5° at the methyl carbon, ~120° at the carbonyl carbon.
- Read the consequences: the carbonyl carbon is planar, its π bond blocks rotation, and its sp² hybridization makes the aldehyde C–H more acidic than a normal alkane C–H.
Key takeaways
- High yield: VSEPR counts a double or triple bond as one domain.
- High yield: sp³ = tetrahedral (109.5°), sp² = trigonal planar (120°), sp = linear (180°).
- High yield: Double bond = σ + π; triple bond = σ + 2π.
- High yield: π bonds block rotation — the origin of cis/trans alkene isomerism.
- High yield: C–H acidity: sp (pKₐ ≈ 25) > sp² (≈ 44) > sp³ (≈ 50).
- Lone pairs occupy a domain but are absent from molecular geometry.
Study tools & related lessonsYou’ll learn to · Key vocabulary · Related
You’ll learn to
- Use VSEPR theory to predict electron-domain and molecular geometry (linear, trigonal planar, tetrahedral).
- Explain how valence-bond theory combines atomic orbitals into sp³, sp², and sp hybrids.
- Distinguish sigma (σ) and pi (π) bonds and relate them to single, double, and triple bonds.
- Connect bond angles, lengths, and strengths to hybridization, and explain the hybridization–acidity relationship.
Key vocabulary
- VSEPR theory
- Electron domains repel to minimize repulsion
- Electron-domain geometry
- Arrangement of all domains (bonds + lone pairs)
- Molecular geometry
- Arrangement of only the atoms
- Tetrahedral / trigonal planar / linear
- 4, 3, and 2-domain geometries
- Valence-bond theory
- Bonds form by orbital overlap
- Hybridization (sp³, sp², sp)
- Mixing s and p orbitals into hybrids
- Sigma (σ) bond
- Head-on overlap along the bond axis
- Pi (π) bond
- Side-by-side p-orbital overlap
- Bond angle / length / strength
- Geometric/energetic bond descriptors
- Single / double / triple bond
- 1σ; 1σ + 1π; 1σ + 2π
- Hybridization–acidity relationship
- More s character → more acidic C–H
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