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TNT equivalent is a convention for expressing , typically used to describe the energy released in an explosion. A ton of TNT equivalent is a unit of energy defined by convention to be (). It is the approximate energy released in the detonation of a (1,000 kilograms) of (TNT). In other words, for each gram of TNT exploded, (or 4184 ) of energy are released. This convention intends to compare the destructiveness of an event with that of conventional explosive materials, of which TNT is a typical example, although other conventional explosives such as contain more energy. A related concept is the physical quantity TNT-equivalent mass (or mass of TNT equivalent),

(1994). 9780852953150, Institution of Chemical Engineers. .
(1995). 9780727720306, T. Telford. .
(2025). 9781482266481, CRC Press. .
(2025). 9781586038991, IOS Press. .
expressed in the ordinary units of mass and its multiples: (kg), (Mg) or tonne (t), etc.


Kiloton and megaton
The " kiloton (of TNT equivalent)" is a unit of energy equal to 4.184 terajoules (). A kiloton of TNT can be visualized as a cube of TNT on a side.

The " megaton (of TNT equivalent)" is a unit of energy equal to 4.184 petajoules ().

The kiloton and megaton of TNT equivalent have traditionally been used to describe the energy output, and hence the destructive power, of a . The TNT equivalent appears in various , and has been used to characterize the energy released in .


Historical derivation of the value
Alternative values for TNT equivalency can be calculated according to which property is being compared and when in the two detonation processes the values are measured.Sorin Bastea, Laurence E. Fried, Kurt R. Glaesemann, W. Michael Howard, P. Clark Souers, Peter A. Vitello, Cheetah 5.0 User's Manual, Lawrence Livermore National Laboratory, 2007.

Where for example the comparison is by energy yield, an explosive's energy is normally expressed for chemical purposes as the thermodynamic work produced by its detonation. For TNT this has been accurately measured as 4,686 J/g from a large sample of air blast experiments, and theoretically calculated to be 4,853 J/g.

(1996). 9780471186366, Wiley-VCH.

However, even on this basis, comparing the actual energy yields of a large nuclear device and an explosion of TNT can be slightly inaccurate. Small TNT explosions, especially in the open, do not tend to burn the carbon-particle and hydrocarbon products of the explosion. Gas-expansion and pressure-change effects tend to "freeze" the burn rapidly. A large, open explosion of TNT may maintain fireball temperatures high enough that some of those products do burn up with atmospheric oxygen. name="Needham">

(2017). 9783319653822, Springer. .

Such differences can be substantial. For safety purposes, a range as wide as has been stated for a gram of upon explosion. Thus one can state that a nuclear bomb has a yield of 15 kt (), but the explosion of an actual pile of TNT may yield (for example) due to additional carbon/hydrocarbon oxidation not present with small open-air charges.

These complications have been sidestepped by convention. The energy released by one gram of TNT was arbitrarily defined as a matter of convention to be 4,184 J, In which is exactly one .

milligram of TNTmgnanoton of TNTntor 4.184 joules1.162 mWh46.55 fg
gram of TNTgmicroton of TNTμtor 4.184 kilojoules1.162 Wh46.55 pg
kilogram of TNTkgmilliton of TNTmtor 4.184 megajoules1.162 kWh46.55 ng
megagram of TNTMgton of TNTtor 4.184 gigajoules1.162 MWh46.55 μg
gigagram of TNTGgkiloton of TNTktor 4.184 terajoules1.162 GWh46.55 mg
teragram of TNTTgmegaton of TNTMtor 4.184 petajoules1.162 TWh46.55 g
petagram of TNTPggigaton of TNTGtor 4.184 exajoules1.162 PWh46.55 kg


Conversion to other units
1 ton of TNT equivalent is approximately:


Examples
! colspan="2" >Energy ! rowspan="2"Description
! Megatons of TNT
! [[Watt-hours]] [Wh]
1.162 Wh≈ 1 food [[kilocalorie]] (kilocalorie, kcal), which is the approximate amount of energy needed to raise the temperature of one [[kilogram]] of water by one degree [[Celsius]] at a pressure of one atmosphere.
1.162 kWhUnder controlled conditions one kilogram of TNT can destroy (or even obliterate) a small vehicle.
5.6 kWhThe energy to burn 1 kilogram of wood.
11.62 kWhArc fault]] in a compartment within a 1-second period.
13.94 kWhAmount of TNT used (12 kg) in Coptic church explosion in [[Cairo]], [[Egypt]] on December 11, 2016 that left 29 dead and 47 injured
2.90 MWhThe television show ''[[MythBusters]]'' used 2.5 tons of [[ANFO]] to make "homemade" diamonds. (Episode 116.)
280–2,800 kWhThe energy output released by an average [[lightning]] discharge.
1.16–51.14 MWhConventional bombs yield from less than one ton to [[FOAB]]'s 44 tons. The yield of a Tomahawk cruise missile is equivalent to 500 kg of TNT.
(2025). 9780375713286, Knopf Doubleday Publishing. .
581 MWhTNT]] () awaiting [[detonation]] at Operation Sailor Hat.]]
2.088 GWhEstimated yield of the Beirut explosion of 2,750 tons of ammonium nitrate that killed initially 137 at and near a Lebanese port at 6 p.m. local time Tuesday August 4, 2020. An independent study by experts from the Blast and Impact Research Group at the University of Sheffield predicts the best estimate of the yield of Beirut explosion to be 0.5 kilotons of TNT and the reasonable bound estimate as 1.12 kilotons of TNT.
1.16–2.32 GWhEstimated yield of the [[Oppau explosion]] that killed more than 500 at a German fertilizer factory in 1921.
2.67 GWhAmount of [[solar energy]] falling on of land in a year is (an average over the Earth's surface).
3.4 GWh The Halifax Explosion in 1917 was the accidental detonation of 200 tons of TNT and 2,300 tons of
(1994). 9781551090955, Nimbus Publishing.
3.6 GWhThe Operation Big Bang on April 18, 1947, blasted the bunkers on [[Heligoland]]. It accumulated 6700 metric tons of surplus World War II ammunition placed in various locations around the island and set off. The energy released was , or about 3.2 kilotons of TNT equivalent.
9.3 GWh[[Minor Scale]], a 1985 United States conventional explosion, using 4,744 tons of [[ANFO]] explosive to provide a scaled equivalent airblast of an eight kiloton (33.44 TJ) nuclear device, is believed to be the largest planned detonation of conventional explosives in history.
17.4–23.2 GWhThe [[Little Boy]] [[atomic bomb]] dropped on [[Hiroshima]] on August 6, 1945, exploded with an energy of about killing between 90,000 and 166,000 people, and the [[Fat Man]] [[atomic bomb]] dropped on [[Nagasaki]] on August 9, 1945, exploded with an energy of about killing over 60,000. The modern nuclear weapons in the United States arsenal range in yield from to equivalent, for the B83 strategic bomb.
>280 GWhThe typical energy yield of severe [[thunderstorm]]s.
20 MWh – 700 GWhThe estimated [[kinetic energy]] of [[tornado]]s.
11.16 TWhThe energy contained in one megaton of TNT (4.2 PJ) is enough to power the average American household for 103,000 years. (Calculated from 2007 value of 936 kWh monthly usage) The estimated upper limit blast power of the [[Tunguska event]] could power the same average home for more than 3,100,000 years. The energy of that blast could power the entire United States for 3.27 days. (Calculated from 2007 value of 3,892,000,000,000 kWh annual usage)
8.610 TWhThe energy output that would be released by a typical [[tropical cyclone]] in one minute, primarily from water condensation. Winds constitute 0.25% of that energy. cites 6E14 watts continuous.
1618.6 TWhThe approximate radiated surface energy released in a magnitude 8 [[earthquake]].
21.525 TWhThe complete conversion of 1 kg of matter into pure energy would yield the theoretical maximum (''E'' = ''mc''2) of 89.8 petajoules, which is equivalent to 21.5 megatons of TNT. No such method of total conversion as combining 500 grams of matter with 500 grams of antimatter has yet been achieved. In the event of proton–[[antiproton]] [[annihilation]], approximately 50% of the released energy will escape in the form of [[neutrinos]], which are almost undetectable. Electron–positron annihilation events emit their energy entirely as [[gamma rays]].
2428 TWhApproximate total yield of the 1980 eruption of Mount St. Helens.
26.330.6 TWhAn animation of the 2004 Indian Ocean tsunami]]
53 TWhThe damage caused by the 2011 Tōhoku tsunami]]
50–5658 TWhThe [[Soviet Union]] developed a prototype thermonuclear device, nicknamed the [[Tsar Bomba]], which was tested at , but had a maximum theoretical design yield of .See [http://nuclearweaponarchive.org/Usa/Weapons/Wpngall.html Currently deployed U.S. nuclear weapon yields] , [http://nuclearweaponarchive.org/Usa/Weapons/Allbombs.html Complete List of All U.S. Nuclear Weapons] , [http://nuclearweaponarchive.org/Russia/TsarBomba.html Tsar Bomba] , all from Carey Sublette's Nuclear Weapon Archive. The effective destructive potential of such a weapon varies greatly, depending on such conditions as the altitude at which it is detonated, the characteristics of the target, the terrain, and the physical landscape upon which it is detonated.

6170.9 TWhThe energy released by the 2022 Hunga Tonga–Hunga Haʻapai volcanic eruption, in the southern Pacific Ocean, is estimated to have been equivalent to 61 Megatons of TNT.
>8497.04 TWhThe solar irradiance on Earth every second.
200230 TWhThe total energy released by the 1883 eruption of Krakatoa in the Dutch East Indies (present-day Indonesia).
540630 TWhThe total energy produced worldwide by all nuclear testing and combat usage combined, from the 1940s to the present, is about 540 megatons.
1,4601.69 PWhThe total global nuclear arsenal is about 15,000 nuclear warheads with a destructive capacity of around 1460 megatons or 1.46 gigatons (1,460 million tons) of TNT. This is the equivalent of joules of energy

>2,6803 PWhThe aftermath of the 1960 Valdivia earthquake.]]
2,8703.34 PWhThe energy released by a hurricane per day during condensation.
33,00038.53 PWhThe total energy released by the 1815 eruption of Mount Tambora in the island of Sumbawa in Indonesia. Yielded the equivalent of 2.2 million [[Little Boy]]s (the first atomic bomb to drop on [[Japan]]) or one-quarter of the entire world's annual energy consumption. This eruption was 4-10 times more destructive than the 1883 Krakatoa eruption.
240,000280 PWh The approximate total yield of the super-eruption of the La Garita Caldera is 10,000 times more powerful than the 1980 Mount St. Helens eruption. It was the second most energetic event to have occurred on Earth since the Cretaceous–Paleogene extinction event 66 million years ago.
301,000350 PWhThe total solar irradiance energy received by Earth in the upper atmosphere per hour.
875,0001.02 EWhImage of the Yellowstone supervolcano.]]
4.2 EWhThe solar irradiance of the Sun every 12 hours.

> 7 EWhThe impact site of the Comet Shoemaker-Levy 9]]

> 116 EWhThe animation of the Chicxulub impact.]]

>>>28 ZWhThe impact energy of Archean asteroids.
106 ZWhThe total energy output of the Sun per second.
280 ZWhThe photo of the Caloris Planitia on Mercury. Taken by the [[MESSENGER]] orbiter.]]
 RWhEarth mass]].
 RWhTotal solar output in all directions per day.
 WhSolar mass]].
 WhA type Ia supernova explosion gives off 1– joules of energy, which is about 2.4–4.8 hundred billion yottatons (24–48 octillion (2.4–) megatons) of TNT, equivalent to the explosive force of a quantity of TNT over a trillion (1012) times the mass of the planet Earth. This is the astrophysical standard candle used to determine galactic distances.
 WhThe largest type of supernova observed, [[gamma-ray burst]]s (GRBs) release more than 1046 joules of energy.
 WhA merger of two black holes, resulting in the first observation of gravitational waves, released  joules
WhEstimated mass-energy of the observable universe.


Relative effectiveness factor
The relative effectiveness factor (RE factor) relates an explosive's demolition power to that of TNT, in units of the TNT equivalent/kg (TNTe/kg). The RE factor is the relative mass of TNT to which an explosive is equivalent: The greater the RE, the more powerful the explosive.

This enables engineers to determine the proper masses of different explosives when applying blasting formulas developed specifically for TNT. For example, if a timber-cutting formula calls for a charge of 1 kg of TNT, then based on 's RE factor of 2.38, it would take only 1.0/2.38 (or 0.42) kg of it to do the same job. Using , engineers would need 1.0/1.66 (or 0.60) kg to obtain the same effects as 1 kg of TNT. With or , they would require 1.0/0.74 (or 1.35) kg or 1.0/0.32 (or 3.125) kg, respectively.

Calculating a single RE factor for an explosive is, however, impossible. It depends on the specific case or use. Given a pair of explosives, one can produce 2× the shockwave output (this depends on the distance of measuring instruments) but the difference in direct metal cutting ability may be 4× higher for one type of metal and 7× higher for another type of metal. The relative differences between two explosives with shaped charges will be even greater. The table below should be taken as an example and not as a precise source of data.

+ Some relative effectiveness factor examples
(AN + <0.5% H2O)0.882,700 US Army FM 3–34.214: Explosives and Demolition, 2007, page 1–2.0.32
Mercury(II) fulminate4.424,2500.51
(75% KNO3 + 19%  + 6% , ancient )1.654000.55
Hexamine dinitrate (HDN)1.305,0700.60
(DNB)1.506,0250.60
(hexamine peroxide)0.884,5200.74
(94%  + 6% fuel oil)0.924,2000.74
1.674,7000.77
()1.185,3000.80
Extra ( water gel) commercial product1.335,6900.80
Hydromite 600 ( water ) commercial product1.245,5500.80
ANNMAL (66%  + 25%  + 5%  + 3%  + 1% TETA)1.165,3600.87
(50%  + 50% )1.506,2900.91
1.326,7500.95
(TNT)1.606,9001.00
Hexanitrostilbene (HNS)1.707,0801.05
1.456,8601.05
(80%  + 20% )1.706,6501.05
Nickel hydrazine nitrate (NHN)1.707,0001.05
(80%  + 20% )1.556,5701.10
(13.5% N, NC; AKA guncotton)1.406,4001.10
(NM)1.136,3601.10
PBXW-126 (22% NTO, 20% , 20% AP, 26% , 12% 's system)1.806,4501.10
Diethylene glycol dinitrate (DEGDN)1.386,6101.17
PBXIH-135 EB (42% , 33% , 25% -'s system)1.817,0601.17
PBXN-109 (64% , 20% , 16% 's system)1.687,4501.17
Triaminotrinitrobenzene (TATB)1.807,5501.17
(TNP)1.717,3501.17
(TNB)1.607,3001.20
(70%  + 30% )1.607,3701.20
, Nobel's (75% + 23% diatomite)1.487,2001.25
1.717,7701.25
(aka HBX, 41%  + 40%  + 18% + 1% )1.807,4401.30
(63%  + 36%  + 1% )1.727,8401.33
Composition C-3 (78% )1.607,6301.33
Composition C-4 (91% )1.598,0401.34
(56% + 44% )1.667,5201.33
1A (76%  + 6% )1.557,6701.35
Hexal (76% + 20% + 4% )1.797,6401.35
RISAL P (50% IPN + 28%  + 15%  + 4%  + 1%  + 2% )1.395,9801.40
Hydrazine nitrate1.598,5001.42
Mixture: 24% + 76% TNM1.488,0601.50
Mixture: 30% + 70% nitrogen tetroxide1.398,2901.50
(NG)1.597,7001.54
(MN)1.217,9001.54
(80% + 19% + 1% )1.838,6901.54
(NTO)1.878,1201.60
DADNE (1,1-diamino-2,2-dinitroethene, FOX-7)1.778,3301.60
(92% + 7% )1.607,9701.60
Plastics Gel (in toothpaste tube: 45% + 45% + 5% DEGDN + 4% )1.517,9401.60
Composition A-5 (98% + 2% )1.658,4701.60
Erythritol tetranitrate (ETN)1.728,2061.60
(RDX)1.788,6001.60
PBXW-11 (96% , 1% , 3% )1.818,7201.60
Penthrite ()1.778,4001.66
Ethylene glycol dinitrate (EGDN)1.498,3001.66
MEDINA (Methylene dinitroamine)1.658,7001.70
Trinitroazetidine (TNAZ)1.859,5971.70
( grade B)1.869,1001.70
(HNB)1.979,3401.80
Hexanitrohexaazaisowurtzitane (HNIW; AKA CL-20)1.979,5001.90
AFX-757 (25% RDX, 30% ammonium perchlorate, 33% ) 1.846,0801.90
DDF (4,4'-Dinitro-3,3'-diazenofuroxan)1.9810,0001.95
(HNC)1.929,200N/A
(ONC)1.9510,6002.38
(OAC)2.6915,000


Nuclear examples
+ Nuclear weapons and the most powerful non-nuclear weapon examples
GBU-57 bomb (Massive Ordnance Penetrator, MOP)0.003513,6000.26
Grand Slam (, M110)0.00659,9000.66
Bomb used in Oklahoma City ( based on )0.00182,3000.78
BLU-82 (Daisy Cutter)0.00756,8001.10
(non-nuclear bomb, GBU-43)0.0119,8001.13
(advanced , ATBIP)0.0449,1004.83
W54, Mk-54 (Davy Crockett)0.022231,000
(dropped on ) 154,4004,000
(dropped on ) 204,6004,500
W54, B54 (SADM)1.02343,500
Classic (one-stage) fission 2242050,000
Hypothetical 2.53180,000
Typical (two-stage) 500–1000650–1,120900,000
W88 modern thermonuclear warhead ()4703551,300,000
(three-stage)50,000–56,00026,5002,100,000
B53 nuclear bomb (two-stage)9,0004,0502,200,000
Operation Dominic Housatonic (two-stage)9,9603,2393,042,400
W56 thermonuclear warhead1,200272–3084,960,000
B41 nuclear bomb (three-stage)25,0004,8505,100,000


See also
  • Net explosive quantity
  • Nuclear weapon yield
  • Orders of magnitude (energy)
  • Table of explosive detonation velocities
  • Tonne of oil equivalent, a unit of energy almost exactly 10 tonnes of TNT


Footnotes

External links

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