Earthquake Magnitude Calculator

Turn any earthquake magnitude into the energy it releases — in TNT and Hiroshima-bomb equivalents — and compare two magnitudes to see how many times stronger one is. Plus the full Richter and moment-magnitude (Mw) scale, effects and frequency. Pair it with the live Earthquake Tracker.

Magnitude → energy calculator

Enter a magnitude to see the energy it releases in everyday equivalents. Energy uses the Gutenberg–Richter relation.

—Class
—Energy (joules)
—TNT equivalent
—Hiroshima bombs

Compare two magnitudes

How much stronger is one earthquake than another?

vs

Energy uses log₁₀E = 1.5M + 4.8 (radiated seismic energy, joules); TNT at 4.184×10⁹ J per ton; Hiroshima ≈ 15 kilotons. These are physical energy estimates at the source — felt shaking also depends on depth, distance and ground (see below).

Magnitude classes at a glance

Colours match the dots on the tracker map. Frequencies are rough global averages from USGS.

MagnitudeClassWhat it feels like & typical effectsAbout how often (world)
< 2.0MicroNot felt by people. Detected only by seismographs.Millions / year
2.0 – 2.9MinorRarely felt; recorded by instruments. No damage.~1,000,000 / year
3.0 – 3.9MinorOften felt indoors as a brief tremor; hanging objects sway. Very rarely any damage.~100,000 / year
4.0 – 4.9LightNoticeable shaking, rattling dishes and windows. Slight damage possible to weak structures.~10,000–15,000 / year
5.0 – 5.9ModerateFelt widely; can damage poorly built or older buildings near the epicentre. Well-built structures usually survive.~1,000–1,500 / year
6.0 – 6.9StrongDestructive in populated areas up to ~100 km across; serious damage to vulnerable buildings.~100–150 / year
7.0 – 7.9MajorSerious, widespread damage over large regions; can cause many casualties.~10–20 / year
8.0 – 8.9GreatSevere destruction across very large areas; can trigger major tsunamis.~1 / year
9.0 +GreatDevastating over vast regions. The largest recorded was M9.5 (Chile, 1960).~1 per 10–50 years

Source: USGS earthquake magnitude classes and frequency estimates. Effects vary a lot with depth, distance and local ground — see the notes below.

Richter vs. moment magnitude (Mw)

Why news reports rarely say "Richter" any more.

R

Richter scale (ML), 1935

Measures the size of the squiggles a seismograph records. Simple and historic, but it "saturates" for big earthquakes — above about magnitude 7 it stops rising accurately, so a great quake looks smaller than it really is.

Mw

Moment magnitude (Mw), today's standard

Based on the physical size of the fault that slipped and the energy released, so it stays accurate at every size. This is what USGS and the tracker report. For moderate quakes Mw and Richter roughly agree, so "magnitude 5.6" means about the same on either.

Each step is a big jump

Magnitude is logarithmic, so the steps are far bigger than they look:

DifferenceShaking amplitudeEnergy released
+0.1~1.3× larger~1.4× more
+1.0~10× larger~32× more
+2.0~100× larger~1,000× more

So a magnitude 7 releases about 32 times the energy of a magnitude 6, and roughly 1,000 times that of a magnitude 5 — even though the numbers look close.

Magnitude isn't the whole story

The single magnitude number describes the earthquake at its source. How strongly you actually feel it — the intensity, measured on the Modified Mercalli scale — also depends on:

That's why the tracker shows depth alongside magnitude, and why a shallow M4 next door can feel stronger than a deep M6 far away. Learn more about how seismic waves travel.

Frequently Asked Questions

What is the difference between the Richter scale and moment magnitude?
The Richter scale (ML), introduced in 1935, measures the amplitude of seismic waves on a seismograph and works well for small, nearby earthquakes. It saturates for very large quakes, meaning it stops increasing accurately above about magnitude 7. Modern agencies such as USGS use the moment magnitude scale (Mw), which is based on the physical size of the fault rupture and the energy released, and stays accurate at all sizes. The two scales are designed to roughly agree for moderate earthquakes, so a "magnitude 5.6" means about the same thing on either.
How much more powerful is each magnitude step?
Each whole step up in magnitude is about 10 times larger shaking amplitude and releases about 32 times more energy. So a magnitude 7 shakes the ground roughly 10 times harder than a magnitude 6, and releases about 32 times the energy. Two whole steps, from magnitude 5 to magnitude 7, is about 1,000 times more energy.
How much energy does an earthquake release?
The radiated seismic energy of an earthquake follows the Gutenberg-Richter relation log₁₀(E) = 1.5M + 4.8, with E in joules. A magnitude 6.0 releases roughly 6.3×10¹³ joules — about 15 kilotons of TNT, or close to one Hiroshima-sized bomb. A magnitude 7.0 releases about 32 times more, and a magnitude 9.0 about a million times more than a magnitude 5.0. Use the calculator above to convert any magnitude into joules, tons of TNT and Hiroshima-bomb equivalents.
Why do some small earthquakes feel stronger than larger ones?
Several factors besides magnitude affect how strong an earthquake feels: depth, distance, and local ground conditions. A shallow magnitude 4 directly beneath a town can feel more violent than a deep magnitude 6 hundreds of kilometres away. Soft soils also amplify shaking compared with solid bedrock. That is why the felt intensity (measured on the Modified Mercalli scale) can differ a lot from the single magnitude number.
What is the largest earthquake ever recorded?
The largest instrumentally recorded earthquake was the magnitude 9.5 Valdivia earthquake in Chile in 1960. The 2004 Sumatra-Andaman earthquake (about magnitude 9.1) and the 2011 Tōhoku earthquake in Japan (about magnitude 9.0) are other examples of great earthquakes, all caused by subduction along major plate boundaries. Nothing above magnitude 10 has ever been recorded, because no known fault is long enough to rupture with that much energy at once. See recent major earthquakes for the events USGS has logged since.