notes/Chemilumesence.md

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Chemiluminescence in Hydro-Flames — CH* and OH*

Overview

Chemiluminescence in flames arises when chemical reactions produce excited radicals that emit photons as they relax.

The two most important species for combustion diagnostics are:

  • CH* (≈ 431 nm, blue)

  • OH* (≈ 310 nm, UV)

These are not just “present radicals” — they are selectively excited products of specific reactions, and their relative intensity encodes combustion chemistry.


Key Reactions

CH* Formation (fuel breakdown zone)

CH* is associated with hydrocarbon fragmentation and early flame chemistry.

Typical pathways:

  
\mathrm{C_2H + O \rightarrow CH^* + CO}  
  
\mathrm{CH_2 + O \rightarrow CH^* + OH}  
  
\mathrm{C + H_2 \rightarrow CH^* + H}  

These reactions dominate in fuel-rich or near-front regions of the flame.


OH* Formation (oxidation zone)

OH* is associated with high-temperature oxidation chemistry.

Typical pathways:

  
\mathrm{H + O_2 \rightarrow OH^* + O}  
  
\mathrm{O + H \rightarrow OH^*}  
  
\mathrm{H_2 + O \rightarrow OH^* + H}  

These reactions dominate in lean or well-oxidised regions.


Why Excited States Are Produced

A chemical reaction releases energy:

  
\mathrm{A + B \rightarrow C + D + energy}  

This energy can be distributed into:

  • Translational motion (heat)

  • Vibrational energy

  • Rotational energy

  • Electronic excitation

If enough energy is deposited into the electronic degree of freedom:

  
\mathrm{OH^* \rightarrow OH + h\nu}  
  
\mathrm{CH^* \rightarrow CH + h\nu}  

The emitted photon is what we detect.


Non-Equilibrium Nature

These reactions occur under:

  • High temperature

  • Fast radicalradical collisions

  • Non-equilibrium conditions

Therefore:

Products are often formed directly in excited states, rather than being thermally excited.


Why Only Certain Species Emit Strongly

Not all reactions produce visible/UV light. Strong chemiluminescence requires:

  • Sufficient reaction energy (~25 eV)

  • Good overlap between reaction geometry and excited state (FranckCondon principle)

  • Fast radiative decay

CH* and OH* satisfy these conditions.


Energy Scale

Typical photon energies:

  
E = h\nu  

CH* emission (~431 nm):

  
E \approx 2.9 \text{ eV}  

OH* emission (~310 nm):

  
E \approx 4.0 \text{ eV}  

Spatial Structure of the Flame

  • CH* peaks in the reaction front (fuel breakdown)

  • OH* peaks slightly downstream in the oxidation zone

Thus, they probe different regions of the flame.


The OH*/CH* Ratio

Define:

  
R = \frac{OH^*}{CH^*}  

This ratio reflects:

  
R \propto \frac{\text{oxidation rate}}{\text{fuel fragmentation rate}}  

Interpretation

  • Fuel-rich:

    • High CH*

    • Lower OH*

    • R \text{ small}
  • Lean:

    • High OH*

    • Lower CH*

    • R \text{ large}
  • Stoichiometric:

    • Balanced

    • R \text{ intermediate}

Why the Ratio is Useful

Absolute intensity depends on:

  • Optical alignment

  • Flame size

  • Window fouling

  • Sensor gain

But the ratio:

  
\frac{OH^*}{CH^*}  

cancels many of these effects and provides a robust indicator of combustion state.


Physical Interpretation

  • CH* → “fuel is still breaking apart”

  • OH* → “oxidation is occurring”

So:

The ratio indicates where the flame sits between fuel-dominated and oxidation-dominated chemistry.


Deeper Insight

Even though both species arise from excited states:

  • CH* is fed by hydrocarbon radical pathways

  • OH* is fed by oxidation pathways

Thus the ratio is not just energy-related — it reflects:

Which chemical pathways dominate locally


Summary

  • Chemiluminescence arises from excited radicals formed during reactions

  • CH* and OH* originate from different parts of the combustion network

  • Their ratio provides a real-time optical measure of stoichiometry and flame structure