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Energy vs Reaction Coordinate Graphs for SN1 and SN2

Energy vs Reaction Coordinate Graphs for SN1 and SN2 | ChemCa.in
Organic Chemistry / Reaction Mechanisms

Energy Profiles: SN1 vs SN2

Mapping the journey from reactants to products through Transition States and Intermediates.

In organic chemistry, a Potential Energy vs. Reaction Coordinate graph provides a visual "map" of a reaction's mechanism. By observing the number of peaks and valleys, we can instantly determine if a reaction is concerted (one-step) or stepwise, making these graphs vital for distinguishing between SN2 and SN1 mechanisms.

1 The SN2 Mechanism (Concerted)

The SN2 (Substitution Nucleophilic Bimolecular) reaction is a concerted, one-step process. The nucleophile attacks the electrophilic carbon exactly as the leaving group departs. There are no intermediate molecules formed.

  • Graph Shape: Features exactly one peak.
  • Transition State (TS): The peak represents the highly unstable pentacoordinate transition state where bonds are half-formed and half-broken. It cannot be isolated.
  • Activation Energy ($E_a$): The vertical distance from the reactants to the transition state peak.

SN2 Energy Profile

A single, smooth hurdle (one transition state).

Potential Energy vs Reaction Coordinate for SN2 A graph showing Potential Energy on the y-axis and Reaction Coordinate on the x-axis. The curve starts at the Reactants level, rises smoothly to a single peak (TS), and falls smoothly to the Products level. Reaction Coordinate Potential Energy Ea Ξ”H Reactants Products TS ‡

2 The SN1 Mechanism (Stepwise)

The SN1 (Substitution Nucleophilic Unimolecular) reaction is a two-step process. First, the leaving group departs to form a Carbocation Intermediate. Second, the nucleophile attacks the carbocation.

  • Graph Shape: Features two peaks separated by a valley.
  • The Valley (Intermediate): Represents the Carbocation. It has a finite lifetime and sits at a local energy minimum.
  • The Peaks (TS1 & TS2): The first peak ($E_{a1}$) is for the breaking of the C-LG bond. The second peak ($E_{a2}$) is for the formation of the C-Nu bond.
  • Rate-Determining Step (RDS): Forming the unstable carbocation requires massive energy, making Step 1 the slow step. Therefore, Peak 1 is always taller than Peak 2.

SN1 Energy Profile

Two hurdles separated by an intermediate valley.

Potential Energy vs Reaction Coordinate for SN1 Reaction A graph showing Energy vs Reaction Coordinate. The curve starts at Reactants, rises to a tall peak (TS1), drops into a valley representing the Carbocation Intermediate, rises again to a shorter secondary peak (TS2), and finally drops to the Products level. Reaction Coordinate Potential Energy Ea₁ Ea₂ Reactants Products TS1 ‡ TS2 ‡ Intermediate

Quick Comparison Summary

Feature SN2 Reaction SN1 Reaction
Mechanism Steps Concerted (One step) Stepwise (Two steps)
Graph Shape (Peaks) 1 Peak 2 Peaks (1 Valley)
Intermediate? None Yes (Carbocation)
Rate Determining Step The only step Step 1 (Formation of C⁺)
Rate Law Rate = $k[\text{Sub}][\text{Nu}]$ Rate = $k[\text{Sub}]$

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