How to Calculate ATE for Chemical Mixtures (GHS Formula)
When formulating a chemical mixture, you need to determine its acute toxicity classification to label it correctly under GHS/CLP. This is done using the ATE (Acute Toxicity Estimate) additivity formula.
The GHS ATE Formula
100 / ATE_mix = Σ (Ci / ATE_i)
Where:
- ATE_mix — the calculated ATE for the mixture (mg/kg or mg/L)
- Ci — concentration of component i in % by weight
- ATE_i — ATE value of component i
This formula is applied separately for each route of exposure: oral, dermal, and inhalation.
Which Components to Include
Only components with concentration ≥ 1% are included in the calculation.
However, components present at < 1% must still be included if their individual ATE would affect the mixture classification (e.g., highly toxic substances at 0.5%).
ATE Default Values
When an exact LD50 is not available, GHS provides default ATE values by toxicity category:
| Category | Oral (mg/kg) | Dermal (mg/kg) | Inhalation vapour (mg/L/4h) |
|---|---|---|---|
| 1 | 0.5 | 50 | 0.05 |
| 2 | 5 | 200 | 0.5 |
| 3 | 100 | 1000 | 3 |
| 4 | 500 | 2000 | 11 |
Worked Example
Mixture: Industrial Degreaser
| Component | Concentration | Oral ATE (mg/kg) |
|---|---|---|
| n-Hexane | 60% | 25,000 |
| Acetone | 30% | 5,800 |
| Toluene | 10% | 636 |
Calculation:
100 / ATE_mix = (60/25000) + (30/5800) + (10/636)
100 / ATE_mix = 0.0024 + 0.00517 + 0.01572
100 / ATE_mix = 0.02329
ATE_mix = 100 / 0.02329 = 4,294 mg/kg
Result: ATE_mix = 4,294 mg/kg → Category 5 / Not classified (threshold for Cat 4 is < 2,000 mg/kg)
Classification Thresholds
| ATE Range (oral, mg/kg) | Category | Signal Word | Pictogram |
|---|---|---|---|
| ≤ 5 | 1 | DANGER | GHS06 |
| > 5 – ≤ 50 | 2 | DANGER | GHS06 |
| > 50 – ≤ 300 | 3 | DANGER | GHS06 |
| > 300 – ≤ 2,000 | 4 | WARNING | GHS07 |
| > 2,000 – ≤ 5,000 | 5 | WARNING | — |
Use the Calculator
Instead of doing this by hand, use our ATE Mixture Calculator:
- Search for each component by name or CAS number
- Set the concentration percentage
- Click Calculate to get the mixture ATE and classification
- Download a PDF report for your SDS documentation
The calculator uses ATE values from the ECHA CLP Annex VI database and applies the GHS additivity formula automatically.
Related Resources
- Chemical Storage Segregation Guide — storage rules for classified mixtures
- GHS H-Statements Complete Guide — H-codes assigned after ATE classification
- GHS Signal Words: Danger vs Warning — signal word determined by ATE category
- ATE Mixture Calculator →
Reference: UN GHS Rev.9, Chapter 3.1 — Acute Toxicity. CLP Regulation (EC) No 1272/2008, Annex I.