Seismic Magnitude Converter
Convert seismic magnitude to energy released (Joules, TNT equivalent) and Modified Mercalli Intensity (MMI).
About this calculator
This calculator converts an earthquake's magnitude into two very different kinds of readout: how much energy the quake released, and how strongly the ground shook. Energy Released comes from the Gutenberg-Richter energy-magnitude relation (log10 of energy in joules scales as 1.5 times magnitude, plus a constant), which is why the magnitude scale is logarithmic rather than linear -- each whole-number increase in Magnitude corresponds to roughly a 32-fold jump in Energy Released, not a doubling. TNT Equivalent restates that same energy in tons of TNT so the scale is easier to picture. Modified Mercalli Intensity (MMI) is a different measurement entirely: it's a rough estimate of felt shaking severity at the epicenter, derived here from a simplified linear approximation of Magnitude rather than the true MMI scale, which in practice depends heavily on depth, soil conditions, and distance from the epicenter and is normally assigned from reported effects, not computed from magnitude alone.
This calculator's MMI figure is clamped between 1 (not felt) and 12 (total destruction), so once Magnitude climbs high enough the MMI reading stops changing even though the underlying energy keeps growing -- the scale simply runs out of higher categories. The Magnitude Scale selector (Richter vs. Moment Magnitude) only changes the label shown next to your result; both scales are treated as reading the same numeric magnitude value for the energy and intensity math here, reflecting that the two scales are designed to roughly agree for most earthquakes even though they measure slightly different physical quantities.
Inputs
Results
Magnitude
5
Energy Released
1,995,000,000,000 J
MMI (Mercalli Intensity)
7
How to Use This Calculator
- Enter the Earthquake Magnitude value from seismograph recordings.
- Select the Magnitude Scale: Richter (ML) for local earthquakes or Moment Magnitude (Mw) for global events.
- Review Energy Released in Joules and the TNT Equivalent to grasp the scale of energy.
- Check the Modified Mercalli Intensity (MMI) and its description to understand felt shaking severity.
- Use Energy Ratio vs M4.0 to appreciate the logarithmic nature of the magnitude scale.
How the result changes with Earthquake Magnitude
| Earthquake Magnitude | Magnitude | Energy Released | MMI (Mercalli Intensity) |
|---|---|---|---|
| 2.5 | 2.5 | 354,800,000 J | 3 |
| 3.75 | 3.8 | 26,610,000,000 J | 5 |
| 7.5 | 7.5 | 11,220,000,000,000,000 J | 10 |
| 10 | 10 | 63,100,000,000,000,000,000 J | 12 |
What each input means
- Earthquake Magnitude
- Earthquake magnitude on the selected scale. Each whole number increase represents ~31.6x more energy.
- Magnitude Scale
- Richter scale is used for local events; Moment magnitude is preferred for large earthquakes.
How this is calculated
Formula
E = 10^(1.5M + 4.8) JoulesWorked example, using the default values
- Identify Input ParametersEarthquake Magnitude = 5, Magnitude Scale = 1 = 2 input(s) provided
- Calculate MagnitudeMagnitude = m5 = 5
- Calculate Energy ReleasedEnergy Released = Number(energyJoules.toExponential(3))1995000000000 = 1995000000000
- Calculate MMIMMI7 = 7
- Calculate ScaleRichter (ML) = Richter (ML)
- Calculate TNT EquivalentTNT Equivalent476.88 = 476.88
Engine last updated . Checked against 3 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.
Frequently Asked Questions
Why does a magnitude 7 earthquake release so much more energy than a magnitude 6?
Earthquake magnitude is logarithmic: the underlying Gutenberg-Richter relation used here means each whole-number increase in Magnitude corresponds to roughly 31.6 times more Energy Released, not a proportional or doubled increase. So the jump from magnitude 6 to 7 releases about as much extra energy as the jump from 5 to 6 and from 4 to 5 combined, which is why moderate and major earthquakes differ so dramatically in destructive potential despite a "small" difference in the number itself.
Why does the Modified Mercalli Intensity stop increasing at high magnitudes?
This calculator clamps MMI between 1 and 12 because that's the full range of the Modified Mercalli Intensity scale itself -- 12 represents total destruction, so there's no higher category to report even as Magnitude and Energy Released keep climbing. In practice this ceiling is reached well within the calculator's own Magnitude range, which is why very large magnitude values show the same MMI reading despite representing very different amounts of released energy.
Does switching between Richter and Moment Magnitude change my results?
No. The Magnitude Scale selector only changes the label shown next to your result (Scale) -- it does not change Energy Released, TNT Equivalent, or MMI, which are all computed from the numeric Magnitude value alone regardless of which scale you select. This reflects that Richter and Moment Magnitude are designed to report comparable numbers for most earthquakes, even though they're derived from different underlying measurements.
How does Energy Released compare to a magnitude 4.0 reference earthquake?
Energy Ratio vs M4.0 divides your earthquake's Energy Released by the energy of a reference magnitude-4.0 event, giving you a quick multiplier for how much bigger the shock is in raw energy terms. Because the underlying relationship is logarithmic, this ratio grows extremely fast with Magnitude -- a magnitude 7.0 earthquake releases on the order of tens of thousands of times more energy than a magnitude 4.0 event (about 31,600 times, following the same ~31.6x-per-whole-number relationship described above).
What does the Approx. Global/Year figure mean?
Approx. Global/Year is a rough estimate of how many earthquakes at or above your entered Magnitude occur worldwide in a typical year, based on published long-term earthquake-frequency statistics (for example, roughly one magnitude 8+ event and roughly fifteen magnitude 7+ events globally per year). It's a frequency estimate, not a measure of energy or intensity -- it doesn't come from the Gutenberg-Richter energy relation used for Energy Released, and it should be read as a long-run global average rather than a prediction for any specific year or location.
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