Energy Profiles and Activation Energy
1. Reaction Profile Diagrams
Learning outcomes
- I can identify reactants and products on reaction profile diagrams.
- I can interpret energy changes shown on reaction profiles.
- I can determine whether a reaction is exothermic or endothermic from a diagram.
- I can identify activation energy on a reaction profile.
- I can compare different reaction profiles.
What Is a Reaction Profile Diagram?
A reaction profile diagram shows how the energy of a reacting system changes as a chemical reaction proceeds.
It allows us to see:
- the energy of the reactants
- the energy of the products
- the activation energy
- the highest-energy point of the reaction
- whether energy is released or absorbed overall
The vertical axis normally represents:
Energy
The horizontal axis represents:
Progress of reaction or Reaction pathway
The horizontal axis does not normally represent time.
The Basic Shape of a Reaction Profile
A typical reaction profile starts with the reactants, rises to a peak, and then falls to the products.
The general pattern is:
Reactants
↓
energy increases
↓
highest-energy point
↓
energy decreases
↓
Products
The rise in energy shows that the reaction must overcome an energy barrier before products can form.
Identifying the Reactants
The reactants are the starting substances in a chemical reaction.
On a standard reaction profile diagram, they are shown on the:
left side
For example:
A + B → C + D
A and B are the reactants.
Their position on the vertical axis tells us their starting energy.
Identifying the Products
The products are the substances formed by the reaction.
They are normally shown on the:
right side
For:
A + B → C + D
C and D are the products.
The difference between the energy levels of the reactants and products tells us whether energy has been released or absorbed.
Reading the Axes
Reaction profile diagrams usually contain two axes.
Vertical Axis
Energy
This may also be labelled:
- potential energy
- enthalpy
- energy of the system
Horizontal Axis
Reaction progress
or:
Reaction coordinate
It represents the progress from reactants to products.
It is not usually a direct measurement of:
- time
- distance
- concentration
This is an important distinction.
The Energy Barrier
Chemical reactions do not usually move directly from reactants to products.
Reactant particles must first reach a higher-energy arrangement.
This is why the reaction profile rises to a peak.
The energy required to reach that peak from the reactants is called the:
activation energy
Symbol:
Eₐ
The activation energy is the minimum energy barrier that must be overcome for the reaction to occur.
Activation Energy on the Diagram
Activation energy is measured vertically from:
the energy level of the reactants
to:
the highest point of the reaction profile
Therefore:
Activation energy = peak energy − reactant energy
The activation energy is not measured from zero.
It is the difference between the reactant energy and the top of the energy barrier.
Why Is Activation Energy Needed?
During a chemical reaction:
- existing bonds may need to be weakened or broken
- atoms must rearrange
- new bonds must form
The reactants must therefore reach a temporary high-energy arrangement before they can become products.
This creates the activation-energy barrier.
The Transition State
The top of the reaction profile represents a very unstable, high-energy arrangement called the:
transition state
It is sometimes also called the:
activated complex
The transition state exists for an extremely short time.
It is not usually isolated as a normal substance.
A useful sequence is:
reactants
↓
activation energy supplied
↓
transition state
↓
products
Exothermic Reaction Profiles
An exothermic reaction transfers energy from the reacting system to the surroundings.
Examples can include:
- combustion
- many oxidation reactions
- many neutralization reactions
On an exothermic reaction profile:
products are lower in energy than reactants
The system has lost energy overall.
Recognizing an Exothermic Diagram
Look at the starting and ending energy levels.
If:
product energy < reactant energy
then the reaction is:
exothermic
The profile generally looks like:
higher reactants
↓
peak
↓
lower products
Energy is released to the surroundings.
Overall Energy Change in an Exothermic Reaction
The overall energy change is the difference between the energy of the products and the reactants.
This is often written:
ΔH = Hproducts − Hreactants
For an exothermic reaction:
Hproducts < Hreactants
Therefore:
ΔH < 0
The energy change is negative.
Example: Exothermic Reaction
Suppose:
Reactant energy = 180 kJ mol⁻¹
Product energy = 120 kJ mol⁻¹
Then:
ΔH = 120 − 180
ΔH = −60 kJ mol⁻¹
The negative value shows that the reaction is:
exothermic
Energy released:
60 kJ mol⁻¹
Endothermic Reaction Profiles
An endothermic reaction absorbs energy from the surroundings.
On an endothermic reaction profile:
products are higher in energy than reactants
The reacting system has gained energy overall.
Recognizing an Endothermic Diagram
If:
product energy > reactant energy
then the reaction is:
endothermic
The profile generally looks like:
lower reactants
↓
peak
↓
higher products
Energy is absorbed from the surroundings.
Overall Energy Change in an Endothermic Reaction
Again:
ΔH = Hproducts − Hreactants
For an endothermic reaction:
Hproducts > Hreactants
Therefore:
ΔH > 0
The energy change is positive.
Example: Endothermic Reaction
Suppose:
Reactant energy = 90 kJ mol⁻¹
Product energy = 145 kJ mol⁻¹
Then:
ΔH = 145 − 90
ΔH = +55 kJ mol⁻¹
The positive value shows that the reaction is:
endothermic
Energy absorbed:
55 kJ mol⁻¹
Exothermic vs Endothermic Profiles
| Feature | Exothermic | Endothermic |
|---|---|---|
| Product energy | Lower than reactants | Higher than reactants |
| Energy transfer | Released | Absorbed |
| ΔH | Negative | Positive |
| Final energy level | Lower | Higher |
| Surroundings | Usually gain energy | Usually lose energy |
The quickest way to identify the reaction type is to compare the reactant and product energy levels.
Interpreting the Energy Change
The vertical distance between the reactants and products represents the overall energy change.
For an exothermic reaction:
ΔH points downward
because the products are lower in energy.
For an endothermic reaction:
ΔH points upward
because the products are higher in energy.
The size of this vertical difference tells us the magnitude of the energy change.
Activation Energy Is Different from ΔH
Students often confuse:
activation energy
and:
overall energy change
They are not the same.
Activation Energy
Measured from:
reactants → peak
Overall Energy Change
Measured from:
reactants → products
Therefore:
Eₐ tells us about the energy barrier
while:
ΔH tells us about the overall energy change
Example
Suppose a reaction profile has:
Reactants = 100 kJ mol⁻¹
Peak = 250 kJ mol⁻¹
Products = 60 kJ mol⁻¹
Activation Energy
Eₐ = 250 − 100
Eₐ = 150 kJ mol⁻¹
Overall Energy Change
ΔH = 60 − 100
ΔH = −40 kJ mol⁻¹
Therefore the reaction is:
exothermic
A Useful Reading Method
When you are given a reaction profile, follow these steps.
Step 1
Find the reactants.
Usually on the left.
Step 2
Find the products.
Usually on the right.
Step 3
Compare their energy levels.
Products lower:
exothermic
Products higher:
endothermic
Step 4
Find the peak.
This represents the transition state.
Step 5
Measure from the reactants to the peak.
That is:
activation energy
Step 6
Measure from reactants to products.
That is:
overall energy change
Comparing Two Reaction Profiles
Reaction profiles can be compared in several ways.
You can compare:
- reactant energy
- product energy
- activation energy
- energy change
- reaction type
- number of energy barriers
A reaction with a higher peak relative to its reactants has a larger activation energy.
Example: Comparing Activation Energies
Reaction A:
Reactants = 50 kJ mol⁻¹
Peak = 130 kJ mol⁻¹
Reaction B:
Reactants = 50 kJ mol⁻¹
Peak = 200 kJ mol⁻¹
For Reaction A:
Eₐ = 130 − 50 = 80 kJ mol⁻¹
For Reaction B:
Eₐ = 200 − 50 = 150 kJ mol⁻¹
Therefore:
Reaction B has the larger activation energy.
Activation Energy and Reaction Rate
A larger activation-energy barrier generally makes it harder for reacting particles to react at a given temperature.
A lower activation-energy barrier means that a greater proportion of collisions may have enough energy to react.
Therefore, under comparable conditions:
lower Eₐ → reaction can generally proceed more readily
However, reaction rate also depends on factors such as:
- temperature
- concentration
- pressure
- surface area
- catalysts
- molecular orientation
Catalysts and Reaction Profiles
A catalyst increases reaction rate by providing an alternative reaction pathway with a lower activation energy.
The catalyst does not change the energy of:
- the reactants
- the products
Therefore, it does not change the overall:
ΔH
It only lowers the energy barrier.
Catalyzed vs Uncatalyzed Reaction
On a reaction profile:
uncatalyzed pathway
has a higher peak.
catalyzed pathway
has a lower peak.
But both begin and end at the same energy levels.
Therefore:
Eₐ decreases
but:
ΔH remains unchanged
This is an important feature when comparing reaction profiles.
Example: Catalyst
Without catalyst:
Reactants = 80 kJ mol⁻¹
Peak = 210 kJ mol⁻¹
Products = 40 kJ mol⁻¹
Activation energy:
210 − 80 = 130 kJ mol⁻¹
With catalyst:
Peak = 145 kJ mol⁻¹
Activation energy:
145 − 80 = 65 kJ mol⁻¹
The catalyst has lowered the activation energy from:
130 kJ mol⁻¹ to 65 kJ mol⁻¹
But:
ΔH = 40 − 80 = −40 kJ mol⁻¹
in both cases.
Comparing Exothermic Reactions
Two reactions can both be exothermic but have different:
- activation energies
- amounts of energy released
For example:
Reaction A:
ΔH = −20 kJ mol⁻¹
Reaction B:
ΔH = −100 kJ mol⁻¹
Both are exothermic.
However, Reaction B releases more energy per mole according to these profiles.
This does not automatically mean Reaction B is faster.
Reaction rate depends strongly on activation energy and other kinetic factors.
Comparing Endothermic Reactions
Two reactions can both be endothermic but absorb different amounts of energy.
For example:
Reaction C:
ΔH = +30 kJ mol⁻¹
Reaction D:
ΔH = +90 kJ mol⁻¹
Reaction D requires a larger net energy input.
Again, this does not automatically tell us which reaction is faster.
Reverse Reactions
Reaction profiles can also be read backwards.
Suppose:
A → B
is exothermic.
Then:
B → A
must be endothermic.
The energy difference has the same magnitude but opposite sign.
For example:
Forward:
ΔH = −60 kJ mol⁻¹
Reverse:
ΔH = +60 kJ mol⁻¹
Activation Energy of the Reverse Reaction
The activation energy for the reverse reaction is measured from:
products → peak
rather than:
reactants → peak
Therefore, the forward and reverse reactions usually have different activation energies.
Example: Forward and Reverse Reaction
Suppose:
Reactants = 120 kJ mol⁻¹
Peak = 280 kJ mol⁻¹
Products = 70 kJ mol⁻¹
Forward activation energy:
280 − 120 = 160 kJ mol⁻¹
Reverse activation energy:
280 − 70 = 210 kJ mol⁻¹
Forward ΔH:
70 − 120 = −50 kJ mol⁻¹
Reverse ΔH:
+50 kJ mol⁻¹
More Complex Reaction Profiles
Some reactions occur through several steps.
Their reaction profiles may contain:
- more than one peak
- valleys between the peaks
Each peak represents a transition state.
The valleys can represent intermediates.
A simplified multistep profile might look like:
reactants
↓
first peak
↓
intermediate
↓
second peak
↓
products
The largest relevant energy barrier can strongly influence the overall reaction rate.
Reaction Intermediate
An intermediate is a species that:
- forms during one reaction step
- is used up in a later step
- does not appear in the overall chemical equation
On an energy profile, an intermediate is often represented by a valley between two peaks.
This is different from a transition state, which occurs at the top of a peak.
Transition State vs Intermediate
| Transition State | Intermediate |
|---|---|
| At a peak | At a valley |
| Extremely unstable | May exist briefly |
| Highest-energy arrangement | Temporary reaction species |
| Cannot normally be isolated | Sometimes can be detected or isolated |
This becomes especially useful when interpreting more complicated reaction mechanisms.
Reaction Profiles Do Not Show Reaction Time
A common mistake is to assume that the horizontal axis represents time.
It usually does not.
The horizontal axis represents the:
reaction pathway
or:
reaction coordinate
A wider-looking curve therefore does not necessarily mean that the reaction takes longer.
Reaction speed cannot be determined simply from the horizontal width of the diagram.
Reaction Profiles Do Not Directly Show Temperature
Reaction profiles show relative energy changes.
They do not directly show:
- temperature
- reaction time
- concentration
For example, an exothermic reaction may cause the surroundings to become warmer, but the vertical axis is not a temperature axis.
Worked Example 1
A reaction profile has:
Reactants = 70 kJ mol⁻¹
Peak = 190 kJ mol⁻¹
Products = 20 kJ mol⁻¹
Activation Energy
Eₐ = 190 − 70
Eₐ = 120 kJ mol⁻¹
Energy Change
ΔH = 20 − 70
ΔH = −50 kJ mol⁻¹
Reaction Type
Because ΔH is negative:
exothermic
Worked Example 2
Reactants = 40 kJ mol⁻¹
Peak = 160 kJ mol⁻¹
Products = 95 kJ mol⁻¹
Activation energy:
Eₐ = 160 − 40
Eₐ = 120 kJ mol⁻¹
Energy change:
ΔH = 95 − 40
ΔH = +55 kJ mol⁻¹
Therefore:
endothermic
Worked Example 3: Comparing Profiles
Reaction A:
- Reactants = 60
- Peak = 140
- Products = 20
Reaction B:
- Reactants = 60
- Peak = 200
- Products = 20
Both have:
ΔH = −40 kJ mol⁻¹
But:
Reaction A:
Eₐ = 80 kJ mol⁻¹
Reaction B:
Eₐ = 140 kJ mol⁻¹
Therefore:
- both reactions release the same net amount of energy
- Reaction B has the larger activation-energy barrier
This demonstrates that activation energy and energy change describe different features of a reaction.
Worked Example 4: Comparing Energy Changes
Reaction X:
Reactants = 100 kJ mol⁻¹
Products = 40 kJ mol⁻¹
Reaction Y:
Reactants = 100 kJ mol⁻¹
Products = 80 kJ mol⁻¹
For X:
ΔH = −60 kJ mol⁻¹
For Y:
ΔH = −20 kJ mol⁻¹
Both reactions are exothermic.
However:
Reaction X releases more energy overall.
Did You Know?
A reaction can be strongly exothermic and still happen very slowly.
This is because:
thermodynamics tells us about the overall energy change,
while:
kinetics tells us how quickly the reaction occurs.
A reaction may have products that are much lower in energy but still require a very large activation energy to reach them.
This is one reason activation-energy diagrams are so useful: they connect chemical energetics with reaction rates.
A Quick Visual Checklist
When looking at any reaction profile, ask:
- Where are the reactants?
- Where are the products?
- Which is higher in energy?
- Where is the highest point?
- What is the activation energy?
- What is the overall energy change?
- Is ΔH positive or negative?
- Is the reaction exothermic or endothermic?
- Is there a catalyst shown?
- Are there multiple peaks suggesting a multistep reaction?
Connecting the Ideas
A reaction profile can be interpreted as:
reactants
↓
energy barrier
↓
activation energy
↓
transition state
↓
products
Then compare reactant and product energy:
products lower
→ exothermic
→ ΔH negative
or:
products higher
→ endothermic
→ ΔH positive
A catalyst changes:
activation energy
but does not change:
reactant energy, product energy, or ΔH
Key Terms
Reaction profile diagram – A diagram showing the energy changes as a chemical reaction proceeds.
Reactants – Starting substances in a reaction.
Products – Substances formed during a reaction.
Reaction coordinate – A representation of the progress of a chemical reaction.
Activation energy (Eₐ) – The minimum energy barrier that must be overcome for a reaction to occur.
Transition state – The temporary highest-energy arrangement along a reaction pathway.
Activated complex – Another term often used for the high-energy arrangement at the transition state.
Enthalpy change (ΔH) – The difference between the energy of the products and reactants at constant pressure.
Exothermic reaction – A reaction that transfers energy to the surroundings.
Endothermic reaction – A reaction that absorbs energy from the surroundings.
Catalyst – A substance that increases reaction rate by providing an alternative pathway with lower activation energy.
Intermediate – A temporary species formed during one step of a multistep reaction and consumed during another.
Key Takeaways
- Reaction profile diagrams show how the energy of a reacting system changes during a reaction.
- The reactants are normally shown on the left and the products on the right.
- The vertical axis represents energy.
- The horizontal axis represents reaction progress, not necessarily time.
- The highest point of the curve represents the transition state.
- Activation energy is measured from the reactant energy level to the peak of the profile.
- The overall energy change is:
ΔH = Hproducts − Hreactants
- If the products are lower in energy than the reactants, the reaction is exothermic and ΔH is negative.
- If the products are higher in energy than the reactants, the reaction is endothermic and ΔH is positive.
- Activation energy and overall energy change are not the same quantity.
- A catalyst lowers the activation energy but does not change the overall ΔH.
- Different reaction profiles can be compared by examining their reactant energy, product energy, activation energy, and overall energy change.
- Multistep reactions can contain several peaks and intermediates.
- Reaction profiles connect chemical energetics with the study of reaction rates and mechanisms.