Cyanidation Chemistry: Elsner's Equation, Speciation, and the Stability Window
A free-cyanide reading of 300 ppm looks healthy — until the gold barely dissolves and HCN alarms start to trend. The number alone does not tell you which cyanide species the gold…
A free-cyanide reading of 300 ppm looks healthy — until the gold barely dissolves and HCN alarms start to trend. The number alone does not tell you which cyanide species the gold surface can use, whether oxygen is present at the same place and time, or which pH keeps molecular HCN off the solution. This article builds the chemistry that those readings only sample.
HCN / CN⁻ speciation · pKₐ ≈ 9.3
At pH = pKₐ half of total cyanide is molecular HCN; the plant window keeps most of it as CN⁻.
Raising pH does not create more cyanide; it shifts the same total cyanide away from HCN. Too much lime starts to blind carbon with calcium.
Elsner's equation is the contract
The overall dissolution reaction is usually written:
4Au + 8CN⁻ + O₂ + 2H₂O → 4Au(CN)₂⁻ + 4OH⁻
Four electrons leave gold; eight cyanide ions form two ligands per gold; oxygen accepts the electrons; hydroxide leaves as a product. The stoichiometry already tells an operator two things:
Cyanide and oxygen are co-reactants. Raising one while the other is starved only feeds side reactions.
Product OH⁻ pulls pH up as the reaction proceeds. Lime dosing is therefore both a safety control (limit HCN) and a process control (keep the complex stable).
The dicyanoaurate(I) complex, Au(CN)₂⁻, is soluble and stable under alkaline cyanide conditions. Under- or over-complexing, base-metal competition, and surface films all act on the same equilibrium path.
Speciation: HCN is the safety and supply problem
Hydrogen cyanide is a weak acid:
HCN ⇌ H⁺ + CN⁻, pKₐ ≈ 9.3 at ambient temperature
Fraction of total cyanide present as HCN:
f(HCN) = 1 / (1 + 10^(pH − pKₐ))
At pH = pKₐ the split is 50/50. Raise pH by one unit and HCN falls by roughly an order of magnitude of the remaining small fraction. The interactive below moves the pH slider against this relationship.
Loading simulation…
pH
Approx. HCN share of total cyanide
Practical reading
9.3
~50%
Unacceptable: half the cyanide is volatile HCN
10.0
~17%
Still a large volatile pathway
10.3
~9%
Lower bound often used to protect against HCN
10.5
~6%
Typical alkaline window upper end
11.0
~2%
Safer for HCN, more calcium and viscosity load
These are equilibrium fractions from pKₐ = 9.3; site temperature, ionic strength, and analytical method shift the exact curve. The direction does not.
Why not simply raise pH forever?
Two costs appear:
Calcium and carbonate load. Excess lime can precipitate calcium carbonate and related species onto activated carbon, blocking pores before organic foulants ever arrive. Acid wash exists partly for this inorganic fouling.
Weaker marginal benefit. Between pH 10.5 and 11 the HCN share drops only a few points while reagent and handling cost keep climbing.
The plant therefore balances HCN risk, cyanide availability, carbon condition, and lime cost — not a single pH maximised in isolation.
Oxygen is the other half of Elsner
Dissolved oxygen at the gold surface controls the cathodic half-reaction. Common failure patterns:
insufficient aeration or blocked spargers;
high oxygen demand from sulfide or pyrrhotite;
elevation or temperature that reduces oxygen solubility while the cyanide setpoint looks fine.
Cyanate formation is irreversible for gold dissolution:
3CN⁻ + 2O₂ + H₂O → 3CNO⁻ + 2OH⁻
Once cyanide is oxidised to cyanate, it no longer complexes gold. Free-cyanide assays that ignore cyanate overstate active inventory.
Porosity and Pourbaix thinking without the poster
Two practical lenses:
Porosity / stability window — stay alkaline enough that HCN stays small, cyanide stays free enough to ligate gold, and oxygen can reach the surface.
Pourbaix-style speciation — gold is not “just metal” in water; it is Au, Au(CN)₂⁻, surface sulfides, or oxide films depending on potential, cyanide, and pH. A diagram cannot replace assay data, but it prevents treating every slow leach as a dosage problem.
Where consumers sit in the same chemistry
Copper, sulfide, and iron minerals intercept the same cyanide and oxygen molecules Elsner needs. A maintained cyanide-to-copper mass ratio near 3 is a common teaching rule; below about 2.5, gold extraction slows. Preg-robbing carbonaceous matter competes for Au(CN)₂⁻ after it forms — extra cyanide then feeds the thief.
See the companion cyanide-consumers article for the mineral-by-mineral detail.
Failure modes and evidence to collect
Symptom
Plausible chemistry gap
Evidence
High free CN, low recovery
Oxygen limited or surface film
DO profile, sulfide/copper assay, bottle-roll with air
Low free CN despite high dosing
Strong consumers or destruction
Reagent balance, CN:Cu ratio, CNO⁻ if measured
HCN risk indicators rising
pH below window or failed lime addition
pH trend at every dosing point, lime system
Carbon loads poorly after a lime campaign
Calcium blinding
Acid-wash performance, carbon pore/activity test
Recovery oscillates with DO
Sparger or air-lance problem
DO controller, tank-by-tank DO
pKₐ ≈ 9.3
HCN / CN⁻ half-split pH (illustrative)
10.3–10.5
common alkaline plant window (illustrative teaching range)
4:8:1
Au : CN⁻ : O₂ stoichiometric sketch of Elsner
Check yourself
Check yourselfFree cyanide is on target but recovery falls after a ore change. Why might raising cyanide make things worse?
New sulfide or copper demand consumes cyanide and oxygen, and excess cyanide can oxidise to cyanate or increase effluent load without reaching gold surfaces. Diagnose consumers, oxygen, and surface condition before increasing dose.
Check yourselfAt pH 10.4, roughly what share of total cyanide is HCN using pKₐ = 9.3?
f(HCN) = 1/(1+10^(10.4−9.3)) ≈ 1/(1+12.6) ≈ 7–8%. Most cyanide is CN⁻, which is the intended alkaline window behaviour.
Check yourselfWhy does raising temperature deserve caution even when dissolution kinetics improve?
Faster kinetics can increase side reactions, oxygen demand, HCN volatility if pH slips, and carbon/elution side effects. Temperature is a plant-wide variable, not only a rate constant.
Cyanide is acutely toxic; HCN can form when chemistry or ventilation fails. This article is educational and does not authorise reagent handling. Site procedures, detection, PPE, and qualified supervision control real work.