The dew point is one of the most informative single numbers in meteorology and everyday comfort assessment. Unlike relative humidity — which rises and falls as the temperature changes even if the actual moisture in the air stays constant — the dew point is an absolute measure of atmospheric water vapour. When the dew point is high, the air is genuinely laden with moisture; when it is low, the air is dry regardless of what the relative-humidity percentage says.
How the Magnus formula works
This calculator uses the August–Roche–Magnus approximation, one of the most widely cited empirical formulas in applied meteorology. Given air temperature T (in °C) and relative humidity RH (0–100 %), it first computes an intermediate variable:
γ = ln(RH / 100) + b·T / (c + T)
The dew point follows directly:
Td = c · γ / (b − γ)
The constants come from Alduchov and Eskridge (1996) and are optimised for accuracy over liquid water between −40 °C and +60 °C:
| Surface | b | c |
|---|---|---|
| Water | 17.368 | 238.88 °C |
| Ice | 17.966 | 247.15 °C |
For temperatures below 0 °C tick the frost-point checkbox and the ice constants are used instead, giving the temperature at which ice crystals (rather than liquid droplets) would form on surfaces — directly relevant for de-icing and cold-chain logistics.
The calculator also derives:
- Wet-bulb temperature via the Stull (2011) approximation — the lowest temperature achievable by evaporating water into the air. Used in heat-stress and industrial cooling assessments.
- Saturation and actual vapour pressure (hPa) from the Magnus exponential form e = 6.112 · exp(b·T / (c+T)).
- Heat index (NOAA / Rothfusz 1990 regression) when temperature is at or above 27 °C and humidity is at or above 40 % — the “feels like” figure familiar from weather apps.
Worked example
Situation: A summer afternoon in Athens. Air temperature 34 °C, relative humidity 55 %.
- Compute γ:
ln(55/100) + 17.368×34 / (238.88 + 34)=−0.5978 + 2.1674=1.5696 - Dew point:
238.88 × 1.5696 / (17.368 − 1.5696)= 23.7 °C - Comfort band: Extremely humid — dew points above 24 °C are tropical-oppressive.
- Wet-bulb temperature (Stull): approximately 26.8 °C.
- Heat index (Rothfusz): approximately 38 °C — noticeably hotter than the thermometer reading.
Compare with a dry desert afternoon: 38 °C, RH 15 %. The dew point drops to just 5 °C — classified as dry and comfortable — even though the air temperature is higher.
| Location | T (°C) | RH (%) | Dew point (°C) | Comfort |
|---|---|---|---|---|
| Athens summer | 34 | 55 | 23.7 | Extremely humid |
| London average | 18 | 75 | 13.6 | Comfortable |
| Phoenix desert | 38 | 15 | 5.0 | Dry / comfortable |
| Singapore rainy season | 30 | 85 | 27.2 | Extremely humid |
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