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The Langelier Saturation Index, explained

The most widely used number in cooling water — and the most widely over-trusted.

WATER CHEMISTRYBY GOTECH CHEMICALPUBLISHED 15 JUL 2026UPDATED 15 JUL 20268 MIN READ
THE SHORT ANSWER

The Langelier Saturation Index predicts whether water will deposit or dissolve calcium carbonate. It is simply LSI = pH − pHs, where pHs is the pH at which your water would be exactly in equilibrium with calcium carbonate, calculated from temperature, calcium hardness, total alkalinity and total dissolved solids. A positive LSI means the water is supersaturated and can scale; a negative LSI means it is undersaturated and will tend to dissolve calcium carbonate, which usually means it is corrosive. Crucially, LSI is a direction, not a rate — and it is blind to chloride, sulphate, silica and biology.

What the index actually asks

Calcium carbonate is unusual. Most solids dissolve more readily as water gets hotter; CaCO₃ does the opposite — it becomes less soluble as temperature rises. That single fact is why cooling water scale forms preferentially on the hottest surface in your plant, which is invariably the surface whose job is heat transfer.

The Langelier Saturation Index asks one narrow question: is this water, at this temperature and chemistry, above or below saturation with respect to calcium carbonate? Above saturation and CaCO₃ can come out of solution. Below it, the water is hungry and will take CaCO₃ into solution where it can find it — including out of any protective carbonate film on your pipe wall.

Everything else people attribute to LSI is inference on top of that one question.

The formula

LSI is the gap between your actual pH and the saturation pH:

LSI  =  pH − pHₛ

And pHs is built from four measured properties:

pHₛ  =  (9.3 + A + B) − (C + D)

TermComes fromFormula
ATotal dissolved solids(log₁₀[TDS] − 1) ÷ 10
BTemperature−13.12 × log₁₀[°C + 273] + 34.55
CCalcium hardness as CaCO₃log₁₀[Ca] − 0.4
DTotal alkalinity as CaCO₃log₁₀[alkalinity]

Notice that every term is a logarithm. That is not decoration — it has a practical consequence people consistently miss. Doubling your calcium hardness moves C by only log₁₀(2) ≈ 0.30. Doubling alkalinity moves D by the same 0.30. But pH enters the index directly, one for one. So a pH swing of 0.6 does as much to your LSI as doubling your calcium hardness and doubling your total alkalinity, both at once — 0.600 against 0.602. A drift from pH 8.2 to 8.8, which a tower can do quietly over a few weeks, is the chemical equivalent of a change in your water you would have spotted instantly on a lab report.

pH is the dominant variable in LSI. If you are trying to control scale and you are not controlling pH, you are adjusting the small terms and hoping. This is also why a tower that drifts alkaline gets a scale problem and a chlorine problem at the same time, from the same cause — see effects of pH on various biocides.

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Langelier Saturation Index

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SATURATION pH (pHₛ)
LSI

Show the working

pHₛ = (9.3 + A + B) − (C + D)

TermFormulaValue
A(log₁₀[TDS] − 1) ÷ 10
B−13.12 × log₁₀[°C + 273] + 34.55
Clog₁₀[Ca as CaCO₃] − 0.4
Dlog₁₀[alkalinity as CaCO₃]

LSI = pH − pHₛ. A positive result means the water is supersaturated and can deposit calcium carbonate; a negative result means it is undersaturated and will tend to dissolve it.

WhatsApp these numbers to Gotech

LSI is a directional index, not a rate. It tells you which way the water wants to go, not how fast it will get there, and it says nothing about chloride, sulphate, silica or biological fouling. Treat it as one input to a programme, not a verdict on a system.

Reading the number honestly

LSIWhat it meansWhat it does not mean
Below −2Aggressively undersaturated; will dissolve CaCO₃That your metal is safe — the opposite
−2 to −0.5Corrosive tendencyThat corrosion is certain, or fast
−0.5 to +0.5Near equilibrium; the usual target bandThat the system is healthy
+0.5 to +2Scale-forming tendency; manageable with inhibitorThat scale will definitely form
Above +2Heavy scaling likelyHow thick, or how fast

That right-hand column is the point of this article. LSI is thermodynamics — it tells you which way the reaction wants to run. It contains no kinetics whatsoever. Two waters with an identical LSI of +1.5 can behave completely differently: one scales a condenser in a month, the other sits there for a year, because scale formation depends on nucleation sites, surface temperature, flow velocity, and whether you are dosing an inhibitor that keeps the minerals in solution past their saturation point.

In fact, a well-inhibited programme deliberately runs positive LSI. That is the whole trick: threshold inhibitors let you hold water supersaturated without depositing, which is what makes higher cycles of concentration possible. A positive LSI on a properly dosed system is not a fault. A positive LSI on a system with no verified inhibitor residual is a countdown.

The five things LSI cannot see

This is where LSI gets misused, usually by treating it as a general water-quality score. It is not. It is a calcium carbonate index, and nothing more. Hach's own method sheet says it plainly: the index “is not related directly to corrosion”.

  • Chloride and sulphate. LSI has no chloride term at all. Water can sit at a perfect LSI of 0.0 and be pitting your stainless steel, because chloride attacks the passive film by an entirely separate mechanism. The EMSD Code sets both at below 200 mg/L for good reason, and neither appears anywhere in Langelier's equation.
  • Silica and other scales. LSI says nothing about silica, calcium sulphate or calcium phosphate. Silica scale is far harder to remove than carbonate and often caps cycles before carbonate does.
  • Biology. A tower can be at ideal LSI and full of biofilm. Biofilm insulates better than scale per unit thickness and drives under-deposit corrosion. Langelier's equation has no term for it.
  • Its own validity range. The index is only meaningful for water with sufficient calcium and more than about 40 mg/L of alkalinity, and roughly between pH 6.5 and 9.5. Outside that, it stops describing reality: soft, low-alkalinity water with a very low or very high pH is corrosive even when LSI does not predict it, simply because there is not enough calcium and alkalinity available to form a protective film at all. If your make-up is soft, LSI is the wrong tool and a comfortable-looking number is meaningless.
  • Where the temperature is. LSI is calculated at one temperature, but your system has many. Bulk water at 32°C might give LSI +0.3, while the film against a condenser tube at 50°C is meaningfully more positive. Scale forms at the skin temperature, not the bulk temperature — which is precisely why it forms where it hurts most. If you calculate LSI only at bulk temperature, you will systematically underestimate your scaling tendency.

The honest position: LSI is a useful, cheap, fast directional indicator that has earned its place. It is not a verdict, it is not a corrosion index despite constantly being used as one, and a system managed on LSI alone is managed on one quarter of the evidence.

Why negative LSI is not the safe answer

There is an intuitive but wrong response to all this: if positive LSI scales, run negative and you are safe. You are not.

Undersaturated water is chemically hungry for calcium carbonate. Where it finds carbonate, it dissolves it — including any protective carbonate-containing film on the inside of your pipework. Strip that film and you expose bare metal to oxygenated water. The result is not a clean system; it is a corroding one, and corrosion is the failure mode that ends in replacing pipe rather than cleaning it.

This is the trade-off at the centre of every cooling water programme, and it is why treatment is a balancing act rather than an optimisation. Push pH down to stop scale, accelerate corrosion. Push pH up to protect metal, precipitate scale — and cripple your chlorine on the way. There is no setting that is simply correct. There is only the setting that is right for your water, your metals and your inhibitor, held there deliberately and verified. We put numbers on the cost of getting that balance wrong in the real cost of doing nothing.

What to do with an LSI number

  1. Calculate it at skin temperature too, not just bulk. The difference is where your scale actually forms.
  2. Never read it alone. Put chloride, sulphate, silica, iron and bacteria counts next to it. LSI answers one question out of five.
  3. Check your inhibitor residual before you react to a positive number. Positive LSI with a verified threshold inhibitor is a designed operating point. Positive LSI with no residual is a problem.
  4. Treat a strongly negative result as a corrosion finding, and confirm it with coupons or iron levels rather than assuming.
  5. Track the trend, not the reading. One LSI value is a snapshot. A drift over months tells you your cycles, your make-up water or your control has changed.
Gotech has treated Hong Kong water systems since 1982. This article is general guidance, not a compliance certification for your site.

Frequently asked questions

What is a good LSI for cooling water?

Most programmes aim to sit near equilibrium, roughly between minus 0.5 and plus 0.5, but there is no universally correct target. A well-inhibited system may deliberately run positive LSI, because threshold inhibitors hold minerals in solution past saturation and that is what allows higher cycles of concentration. What matters is whether the operating point is deliberate and whether the inhibitor residual supporting it is verified.

How do you calculate the Langelier Saturation Index?

LSI equals measured pH minus saturation pH. Saturation pH is calculated as (9.3 + A + B) minus (C + D), where A comes from total dissolved solids, B from temperature, C from calcium hardness as calcium carbonate, and D from total alkalinity as calcium carbonate. You need five measurements: pH, temperature, calcium hardness, total alkalinity and TDS.

Does a negative LSI mean my water is safe?

No — it usually means the opposite. Negative LSI means the water is undersaturated and will tend to dissolve calcium carbonate, including protective carbonate films inside pipework. Stripping that film exposes bare metal to oxygenated water. Negative LSI is a corrosion indication, not a clean bill of health.

Is LSI a corrosion index?

Not really, although it is frequently used as one. LSI only predicts calcium carbonate saturation. It has no term for chloride or sulphate, which drive pitting by a separate mechanism, and no term for biological activity or under-deposit corrosion. Water can sit at a perfect LSI of zero and still be corroding.

Why does scale form on the hottest surfaces?

Because calcium carbonate becomes less soluble as temperature rises, unlike most solids. The water film against a hot heat-transfer surface is at a higher temperature than the bulk water, so it is more supersaturated and deposits first. This is also why calculating LSI only at bulk temperature underestimates the real scaling tendency.

References

  1. Hach, Langelier and Aggressive Indices, Method 8073 (PDF) — an alternative table-based form of the same index, and the source for the stated limitations: the index is not directly related to corrosion, is not a quantitative measure, is interfered with by sulphate and chloride, and is only useful within a defined alkalinity and pH range.
  2. EMSD, Code of Practice for Fresh Water Cooling Towers, Part 2: Operation and Maintenance (2023 edition) — indicative water quality criteria including calcium hardness, alkalinity, chloride and sulphate, Table 2.1.
  3. EMSD, Code of Practice for Fresh Water Cooling Towers, Part 3: Water Treatment Methods (2023 edition).
  4. US EPA, WaterSense at Work — Section 6.3, Cooling Towers (PDF).

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