K-Index Thunderstorm Potential Calculator

Compute the K-Index from five sounding temperatures at 850, 700, and 500 mb and see the George (1960) thunderstorm probability classification.

🌡️ K-Index Thunderstorm Potential Calculator
850 mb temperature (T850)
°C
850 mb dew point (Td850)
°C
700 mb temperature (T700)
°C
700 mb dew point (Td700)
°C
500 mb temperature (T500)
°C
K-Index
—
Thunderstorm probability
—
Step-by-step working

🌡️ What is the K-Index?

The K-Index is a widely used atmospheric stability index, developed by J.J. George in 1960, that estimates thunderstorm potential by combining three ingredients from a single sounding: the vertical temperature lapse rate between 850 and 500 mb, the low-level moisture available at 850 mb, and the dryness of the mid-troposphere at 700 mb. Unlike indices that require lifting a parcel through the atmosphere, the K-Index is computed directly from five measured or forecast sounding values, temperature and dew point at 850 mb, temperature and dew point at 700 mb, and temperature at 500 mb.

Forecasters have relied on the K-Index for decades, as a quick screening tool to estimate the probability of air-mass or "pulse-type" thunderstorms across a region without running a full parcel-lifting calculation, to compare moisture and lapse-rate conditions consistently across many stations during a busy forecast shift, and as one input among several stability indices used together to build a complete severe weather outlook.

A common misconception is that a high K-Index guarantees severe thunderstorms. It does not, the K-Index was designed to estimate general thunderstorm probability and coverage, not storm severity. Tornadoes, large hail, and damaging straight-line winds depend heavily on additional factors like instability magnitude (CAPE), wind shear, and storm-scale dynamics, none of which the K-Index formula directly measures.

This calculator applies George's original 1960 formula directly to the five sounding inputs, then classifies the resulting K-Index using his widely cited thunderstorm probability table, from none/very low up through numerous thunderstorms.

📐 Formula

K = (T850 − T500) + Td850 − (T700 − Td700)
T850, T700, T500 = temperatures at 850, 700, and 500 mb (°C)
Td850, Td700 = dew points at 850 and 700 mb (°C)
K = K-Index, a dimensionless thunderstorm-potential number, per George (1960)
Example: T850=20°C, T500=-10°C, Td850=15°C, T700=5°C, Td700=-2°C → K = (20-(-10)) + 15 - (5-(-2)) = 30 + 15 - 7 = 38, numerous thunderstorms

📖 How to Use This Calculator

Steps

1
Enter the 850 mb temperature and dew point. Type the temperature (T850) and dew point (Td850) at 850 mb, in degrees Celsius.
2
Enter the 700 mb temperature and dew point. Type the temperature (T700) and dew point (Td700) at 700 mb, in degrees Celsius.
3
Enter the 500 mb temperature. Type the temperature (T500) at 500 mb, in degrees Celsius.
4
Read the K-Index and probability classification. The calculator combines all five values into the K-Index and reports the George (1960) thunderstorm probability band.

💡 Example Calculations

Example 1 — Numerous Thunderstorms

T850=20°C, T500=-10°C, Td850=15°C, T700=5°C, Td700=-2°C

1
K = (20 − (-10)) + 15 − (5 − (-2)) = 30 + 15 − 7 = 38
K = 38, numerous thunderstorms, roughly an 80-90% probability
Try this example →

Example 2 — Isolated Thunderstorms

T850=15°C, T500=-8°C, Td850=8°C, T700=3°C, Td700=-5°C

1
K = (15 − (-8)) + 8 − (3 − (-5)) = 23 + 8 − 8 = 23
K = 23, isolated thunderstorms, roughly a 20% probability
Try this example →

Example 3 — Widely Scattered Thunderstorms

T850=18°C, T500=-12°C, Td850=10°C, T700=2°C, Td700=-10°C

1
K = (18 − (-12)) + 10 − (2 − (-10)) = 30 + 10 − 12 = 28
K = 28, widely scattered thunderstorms, roughly a 40-60% probability
Try this example →

❓ Frequently Asked Questions

What is the K-Index in meteorology?+
The K-Index, developed by George in 1960, is a measure of thunderstorm potential that combines the vertical temperature lapse rate between 850 and 500 mb, low-level moisture at 850 mb, and mid-level dryness at 700 mb into a single number, higher values indicate greater probability of thunderstorm development.
How do you calculate the K-Index?+
K = (T850 - T500) + Td850 - (T700 - Td700), using temperatures and dew points in degrees Celsius at the 850, 700, and 500 mb pressure levels from an atmospheric sounding.
What K-Index value indicates numerous thunderstorms?+
Per George's original 1960 table, a K-Index above 35 corresponds to numerous thunderstorms, roughly an 80 to 90 percent probability of thunderstorm activity in the area covered by the sounding.
What does a low K-Index mean?+
A K-Index below 20 indicates a low probability of thunderstorms, usually because the atmosphere lacks either sufficient low-level moisture, a steep enough lapse rate between 850 and 500 mb, or has a dry mid-level layer that suppresses convection.
How is K-Index different from Lifted Index?+
K-Index is computed directly from sounding temperatures and dew points without needing to lift a parcel, making it faster to compute, while Lifted Index requires calculating the temperature a parcel would have after being lifted to 500 mb. K-Index also explicitly incorporates moisture at two levels, which LI does not.
Does a high K-Index guarantee severe thunderstorms?+
No. K-Index is best suited to forecasting general (often air-mass or pulse-type) thunderstorm probability, not severity. Severe weather potential, tornadoes, large hail, damaging winds, depends more on additional factors like CAPE, wind shear, and storm-scale dynamics that K-Index does not capture.
Why does the K-Index subtract the 700 mb dew point depression?+
The term (T700 - Td700) measures dryness at 700 mb. Subtracting it means a dry mid-level layer lowers the overall K-Index, since dry air at that level tends to suppress and entrain into developing convection, reducing storm potential even when low levels are moist.
What pressure levels does the K-Index formula use?+
The K-Index uses temperature and dew point at 850 mb (roughly 1.5 km altitude), temperature at 500 mb (roughly 5.5 km altitude), and temperature and dew point at 700 mb (roughly 3 km altitude), a standard set of levels routinely reported in radiosonde soundings.
Who developed the K-Index?+
The K-Index was developed by J.J. George and published in his 1960 book "Weather Forecasting for Aeronautics". It remains one of the most widely used simple stability indices in operational meteorology today.
Is the K-Index useful for winter weather forecasting?+
The K-Index was designed specifically for warm-season, air-mass thunderstorm forecasting and is not typically applied to winter precipitation type or intensity forecasting, which relies on different stability and thermal-profile indices.
What units does the K-Index calculator use?+
All five inputs, T850, T500, Td850, T700, and Td700, are entered in degrees Celsius. The resulting K-Index is a dimensionless number, typically ranging from below 15 on dry, stable days to above 40 on very moist, unstable days.

What is the K-Index in meteorology?

The K-Index, developed by George in 1960, is a measure of thunderstorm potential that combines the vertical temperature lapse rate between 850 and 500 mb, low-level moisture at 850 mb, and mid-level dryness at 700 mb into a single number, higher values indicate greater probability of thunderstorm development.

How do you calculate the K-Index?

K = (T850 - T500) + Td850 - (T700 - Td700), using temperatures and dew points in degrees Celsius at the 850, 700, and 500 mb pressure levels from an atmospheric sounding.

What K-Index value indicates numerous thunderstorms?

Per George's original 1960 table, a K-Index above 35 corresponds to numerous thunderstorms, roughly an 80 to 90 percent probability of thunderstorm activity in the area covered by the sounding.

What does a low K-Index mean?

A K-Index below 20 indicates a low probability of thunderstorms, usually because the atmosphere lacks either sufficient low-level moisture, a steep enough lapse rate between 850 and 500 mb, or has a dry mid-level layer that suppresses convection.

How is K-Index different from Lifted Index?

K-Index is computed directly from sounding temperatures and dew points without needing to lift a parcel, making it faster to compute, while Lifted Index requires calculating the temperature a parcel would have after being lifted to 500 mb. K-Index also explicitly incorporates moisture at two levels, which LI does not.

Does a high K-Index guarantee severe thunderstorms?

No. K-Index is best suited to forecasting general (often air-mass or pulse-type) thunderstorm probability, not severity. Severe weather potential, tornadoes, large hail, damaging winds, depends more on additional factors like CAPE, wind shear, and storm-scale dynamics that K-Index does not capture.

Why does the K-Index subtract the 700 mb dew point depression?

The term (T700 - Td700) measures dryness at 700 mb. Subtracting it means a dry mid-level layer lowers the overall K-Index, since dry air at that level tends to suppress and entrain into developing convection, reducing storm potential even when low levels are moist.

What pressure levels does the K-Index formula use?

The K-Index uses temperature and dew point at 850 mb (roughly 1.5 km altitude), temperature at 500 mb (roughly 5.5 km altitude), and temperature and dew point at 700 mb (roughly 3 km altitude), a standard set of levels routinely reported in radiosonde soundings.

Who developed the K-Index?

The K-Index was developed by J.J. George and published in his 1960 book 'Weather Forecasting for Aeronautics'. It remains one of the most widely used simple stability indices in operational meteorology today.

Is the K-Index useful for winter weather forecasting?

The K-Index was designed specifically for warm-season, air-mass thunderstorm forecasting and is not typically applied to winter precipitation type or intensity forecasting, which relies on different stability and thermal-profile indices.

What units does the K-Index calculator use?

All five inputs, T850, T500, Td850, T700, and Td700, are entered in degrees Celsius. The resulting K-Index is a dimensionless number, typically ranging from below 15 on dry, stable days to above 40 on very moist, unstable days.