Result
| Exchangeable Na, meq/100g | 1.80 |
|---|---|
| Exchangeable Na, mg/kg (ppm) | 413.8 |
| CEC used, meq/100g | 18.00 |
| Na as a fraction of CEC | 10.00% |
| Exchangeable Na, lb/acre (6-inch slice) | 927 |
Both inputs read as meq/100g, so ESP is a straight ratio: 1.80 ÷ 18.00 × 100.
Exchangeable sodium percentage: the formula, the thresholds and the fix
ESP is the simplest sodicity number on a soil test: the share of the exchange complex occupied by sodium. It matters because sodium does not flocculate clay. Where calcium holds particles in crumbs, sodium pushes them apart, the crumbs disperse, and the same soil that drained last season now crusts, ponds and sets hard. Everything below is one ratio plus the consequences of that ratio.
1. The calculation, worked through
exchangeable Na (meq/100g) = exchangeable Na (mg/kg) ÷ 229.9
exchangeable Na (mg/kg) = exchangeable Na (meq/100g) × 229.9
Worked example. A report lists exchangeable sodium at 1.8 meq/100g and CEC at 18 meq/100g. ESP = 1.8 ÷ 18 × 100 = 10.00%. Sodium occupies a tenth of the exchange sites, which lands in the sodic band: dispersion risk is real, but the structure is still recoverable with gypsum and drainage. The same report written as ppm would show 414 mg/kg, and 414 ÷ 229.9 returns the same 1.80 meq/100g.
2. Why 6% and 15% are the numbers people quote
| ESP | Classification | What is happening in the soil |
|---|---|---|
| 0 – 6% | Non-sodic | Sodium is dispersed harmlessly; structure and infiltration are governed by something else. |
| 6 – 15% | Sodic | Clay begins to disperse on wetting; surface crusting, slower infiltration, seal-prone seedbeds. |
| > 15% | Strongly sodic | The classic US Salinity Laboratory definition of an alkali soil: hard setting, poor aeration, most crops fail. |
The 15% line comes from the US Salinity Laboratory's Diagnosis and Improvement of Saline and Alkali Soils (Handbook 60), where "alkali soil" was defined by ESP at or above 15. Field experience moved the practical threshold down: dispersion of many clay soils begins near 6%, which is why modern guidance treats 6% as the action line and 15% as the severity line. The calculator flags both.
3. ESP, SAR and sodium saturation are three views of the same problem
| Index | Sample | How it is measured | When to use it |
|---|---|---|---|
| ESP | Solid soil | Exchangeable Na ÷ CEC × 100 | The sodicity status of the field itself |
| Na saturation | Solid soil | Same ratio, expressed as base saturation of Na | Base saturation work alongside Ca, Mg and K |
| SAR | Irrigation water | Na ÷ √((Ca + Mg) / 2) in meq/L | Predicting whether the water will cause sodicity |
SAR describes the water you are applying; ESP describes the soil you already have. They track each other closely in the field, but they are not interchangeable, and a sodic soil under good water still needs gypsum. Calculate the incoming hazard with the SAR and CROSS calculator, and read the exchange complex as a whole in the base saturation calculator.
4. Unit conversions you will meet on a lab report
- meq/100g (cmolc/kg) to ppm (mg/kg): multiply by 229.9, the equivalent weight of sodium (22.99 mg/meq) scaled by the 100 g basis.
- ppm to meq/100g: divide by 229.9. Sodium at 230 mg/kg is 1.00 meq/100g.
- Percent of CEC is already ESP. If your report lists "Na base saturation %", you do not need CEC at all.
- lb/acre in the results assumes a 6-inch (15 cm) acre-slice at a bulk density near 1.3 g/cm³, about 2.24 million lb of soil per acre.
Units are the most common source of a tenfold sodicity error, so the calculator keeps the conversion visible rather than hiding it: switch the entry mode above and watch which rows recompute.
5. What to do once the number is above 6%
- Confirm the diagnosis. Re-run the test, check the CEC method (pH 7 versus measured), and rule out a saline soil where the problem is total salt rather than exchangeable sodium: ESP can sit low while ECe is high.
- Replace sodium with calcium. Gypsum (calcium sulphate) is the standard amendment where free lime is absent; in calcareous soils the lime already present is often enough once pH and drainage are right. Rate it from CEC and exchangeable sodium with the gypsum requirement calculator.
- Leach. Displaced sodium has to leave the profile. Apply the amendment, then enough water to move the displaced Na below the root zone, with a drainage plan if the water table is high.
- Rebuild structure. Organic matter, crop residues and traffic control at wet consistencies keep the recovered aggregates from re-dispersing. Then re-test at the same depth and season.
The full walkthrough, including how ESP appears alongside CEC and base saturation on a real report, is in exchangeable sodium percentage (ESP): what it is, how to calculate it and how to fix it.
References
- Richards, L.A. (1954). Diagnosis and Improvement of Saline and Alkali Soils, USDA Agriculture Handbook No. 60 — source of the ESP ≥ 15% alkali-soil definition and the exchangeable sodium methods.
- US Salinity Laboratory Staff and Brady, N.C. and Weil, R.R., The Nature and Properties of Soils — sodicity thresholds, dispersion and reclamation practice.
- Rengasamy, P. (2006). "World salinity and sodicity problems", in Salinization of Land and Water Resources — the case for the 6% dispersion threshold.
- Sumner, M.E. and Naidu, R. (1998). Sodic Soils: Distribution, Properties, Management, and Environmental Consequences, Oxford University Press.
Sources and method: the publications this tool cites are listed in the calculator sources register, one table per calculator, with a link to each source that still answers and the formula this page prints kept as the primary record.
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