TNT_equivalent

TNT equivalent

TNT equivalent

Class of units of measurement for explosive energy


TNT equivalent is a convention for expressing energy, typically used to describe the energy released in an explosion. The ton of TNT is a unit of energy defined by convention to be 4.184 gigajoules (1 gigacalorie),[1] which is the approximate energy released in the detonation of a metric ton (1,000 kilograms) of TNT. In other words, for each gram of TNT exploded, 4.184 kilojoules (or 4184 joules) of energy are released.

Quick Facts General information, Unit system ...

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 dynamite contain more energy.

Kiloton and megaton

The "kiloton (of TNT equivalent)" is a unit of energy equal to 4.184 terajoules (4.184×1012 J).[2]

The "megaton (of TNT equivalent)" is a unit of energy equal to 4.184 petajoules (4.184×1015 J).[3]

The kiloton and megaton of TNT equivalent have traditionally been used to describe the energy output, and hence the destructive power, of a nuclear weapon. The TNT equivalent appears in various nuclear weapon control treaties, and has been used to characterize the energy released in asteroid impacts.[4]

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.[5][6][7][8]

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.[9]

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, don't 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 so that some of those products do burn up with atmospheric oxygen.[10]

Such differences can be substantial. For safety purposes a range as wide as 2,673–6,702 J has been stated for a gram of TNT upon explosion.[11]

Thus one can state that a nuclear bomb has a yield of 15 kt (6.3×1013 J), but the explosion of an actual 15,000 ton pile of TNT may yield (for example) 8×1013 J due to additional carbon/hydrocarbon oxidation not present with small open-air charges.[10]

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,[12] which is exactly one kilocalorie.

A kiloton of TNT can be visualized as a cube of TNT 8.46 metres (27.8 ft) on a side.

More information Grams TNT, Symbol ...

Conversion to other units

1 ton TNT equivalent is approximately:

Examples

More information Megatons of TNT, Energy [Wh] ...

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 octanitrocubane'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 PETN, engineers would need 1.0/1.66 (or 0.60) kg to obtain the same effects as 1 kg of TNT. With ANFO or ammonium nitrate, 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.

More information Explosive, grade, Density (g/ml) ...

Nuclear examples

More information Weapon, Total yield (kilotons of TNT) ...

See also


References

Footnotes

  1. The solar constant of the sun is 1370 watts per square meter and Earth has a cross-sectional surface area of 2.6×1014 square meters.
  2. The solar constant of the sun is 1370 watts per square meter and Earth has a cross-sectional surface area of 2.6×1014 square meters.
  3. 1 hour is equivalent to 3600 seconds.
  4. 1 day is equivalent to 86400 seconds.
  5. TBX (thermobaric explosives) or EBX (enhanced blast explosives), in a small, confined space, may have over twice the power of destruction. The total power of aluminized mixtures strictly depends on the condition of explosions.
  6. Predicted values

Citations

  1. "Tons (Explosives) to Gigajoules Conversion Calculator". unitconversion.org. Archived from the original on March 17, 2017. Retrieved January 6, 2016.
  2. "Convert Megaton to Joule". www.unitconverters.net. Retrieved March 22, 2022.
  3. "Convert Gigaton to Joule". www.unitconverters.net. Retrieved March 22, 2022.
  4. "Joules to Megatons Conversion Calculator". unitconversion.org. Archived from the original on November 24, 2009. Retrieved November 23, 2009.
  5. 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.
  6. Maienschein, Jon L. (2002). Estimating equivalency of explosives through a thermochemical approach (PDF) (Technical report). Lawrence Livermore National Laboratory. UCRL-JC-147683. Archived from the original (PDF) on December 21, 2016. Retrieved December 12, 2012.
  7. Maienschein, Jon L. (2002). Tnt equivalency of different explosives – estimation for calculating load limits in heaf firing tanks (Technical report). Lawrence Livermore National Laboratory. EMPE-02-22.
  8. Cunningham, Bruce J. (2001). C-4/tnt equivalency (Technical report). Lawrence Livermore National Laboratory. EMPE-01-81.
  9. Cooper, Paul W. (1996). Explosives Engineering. New York: Wiley-VCH. p. 406. ISBN 978-0-471-18636-6.
  10. Charles E. Needham (October 3, 2017). Blast Waves. Springer. p. 91. ISBN 978-3319653822. OCLC 1005353847. Archived from the original on December 26, 2018. Retrieved January 25, 2019.
  11. "Appendix B8 – Factors for Units Listed Alphabetically". July 2, 2009. Archived from the original on January 29, 2016. Retrieved March 29, 2007. In NIST SI Guide 2008
  12. "Tons Of Tnt to Calories | Kyle's Converter". www.kylesconverter.com. Retrieved March 22, 2022.
  13. "Convert tons of TNT to joules | energy conversion". convert-to.com. Retrieved March 22, 2022.
  14. "Convert tons of TNT to foot pounds | energy conversion". convert-to.com. Retrieved March 22, 2022.
  15. "Tons Of Tnt to Kilowatt-hours | Kyle's Converter". www.kylesconverter.com. Retrieved March 22, 2022.
  16. Timcheck, Jonathan (Fall 2017). "The Energy in Wildfires: The Western United States". large.stanford.edu. Archived from the original on January 17, 2018. Retrieved March 31, 2022.
  17. Atassi, Basma; Sirgany, Sarah; Narayan, Chandrika (December 13, 2016). "Local media: Blast at Cairo cathedral kills at least 25". CNN. Archived from the original on April 10, 2017. Retrieved April 5, 2017.
  18. "How do Thunderstorms and Lightning Work?". www.thenakedscientists.com. March 6, 2007. Retrieved March 22, 2022.
  19. Homer-Dixon, Thomas F (2002). The Ingenuity Gap. Knopf Doubleday Publishing. p. 249. ISBN 978-0-375-71328-6. Archived from the original on January 14, 2021. Retrieved November 7, 2020.
  20. Fuwad, Ahamad (August 5, 2020). "Beirut Blast: How does yield of 2,750 tonnes of ammonium nitrate compare against Halifax explosion, Hiroshima bombing?". DNA India. Archived from the original on August 6, 2020. Retrieved August 7, 2020.
  21. Staff, W. S. J. (August 6, 2020). "Beirut Explosion: What Happened in Lebanon and Everything Else You Need to Know". Wall Street Journal. ISSN 0099-9660. Archived from the original on August 6, 2020. Retrieved August 7, 2020.
  22. Rigby, S. E.; Lodge, T. J.; Alotaibi, S.; Barr, A. D.; Clarke, S. D.; Langdon, G. S.; Tyas, A. (September 22, 2020). "Preliminary yield estimation of the 2020 Beirut explosion using video footage from social media". Shock Waves. 30 (6): 671–675. Bibcode:2020ShWav..30..671R. doi:10.1007/s00193-020-00970-z. ISSN 1432-2153.
  23. c=AU; co=Commonwealth of Australia; ou=Department of Sustainability, Environment. "Space Weather Services website". www.sws.bom.gov.au. Retrieved April 23, 2022.{{cite web}}: CS1 maint: multiple names: authors list (link)
  24. Ruffman, Alan; Howell, Colin (1994). Ground Zero: A Reassessment of the 1917 Explosion in Halifax Harbour. Nimbus Publishing. ISBN 978-1-55109-095-5.
  25. Tech Reps (1986). "Minor Scale Event, Test Execution Report". Albuerque, NM. hdl:100.2/ADA269600. {{cite journal}}: Cite journal requires |journal= (help)
  26. "Hiroshima and Nagasaki: The Long Term Health Effects". K1 project. August 9, 2012. Archived from the original on July 23, 2015. Retrieved January 7, 2021.
  27. Crook, Aaron (February 10, 2010). "The gathering storms". Cosmos. Archived from the original on April 4, 2012.
  28. "Frequently Asked Questions – Electricity". United States Department of Energy. October 6, 2009. Archived from the original on November 23, 2010. Retrieved October 21, 2009. (Calculated from 2007 value of 936 kWh monthly usage)
  29. "Country Comparison :: Electricity – consumption". The World Factbook. CIA. Archived from the original on January 28, 2012. Retrieved October 22, 2009. (Calculated from 2007 value of 3,892,000,000,000 kWh annual usage)
  30. "NOAA FAQ: How much energy does a hurricane release?". National Oceanic & Atmospheric Administration. August 2001. Archived from the original on November 2, 2017. Retrieved June 30, 2009. cites 6E14 watts continuous.
  31. "How much energy does an earthquake release?". Volcano Discovery. June 12, 2023.
  32. Borowski, Stanley K. (March 1996). Comparison of Fusion/Antiproton Propulsion systems. 23rd Joint Propulsion Conference. NASA Glenn Research Center. doi:10.2514/6.1987-1814. hdl:2060/19960020441.
  33. "Mount St. Helens – From the 1980 Eruption to 2000, Fact Sheet 036-00". pubs.usgs.gov. Archived from the original on May 12, 2013. Retrieved April 23, 2022.
  34. "USGS Earthquake Hazards Program: Energy and Broadband Solution: Off W Coast of Northern Sumatra". April 4, 2010. Archived from the original on April 4, 2010. Retrieved February 10, 2023.
  35. "USGS.gov: USGS WPhase Moment Solution". Earthquake.usgs.gov. Archived from the original on March 14, 2011. Retrieved March 13, 2011.
  36. "USGS Energy and Broadband Solution". March 16, 2011. Archived from the original on March 16, 2011. Retrieved February 10, 2023.
  37. See Currently deployed U.S. nuclear weapon yields Archived September 7, 2016, at the Wayback Machine, Complete List of All U.S. Nuclear Weapons Archived December 16, 2008, at the Wayback Machine, Tsar Bomba Archived June 17, 2016, at the Wayback Machine, all from Carey Sublette's Nuclear Weapon Archive.
  38. "The eruption of Krakatoa, August 27, 1883". Commonwealth of Australia 2012, Bureau of Meteorology. April 5, 2012. Archived from the original on March 18, 2016. Retrieved February 23, 2022.
  39. "Status of World Nuclear Forces". fas.org. Archived from the original on May 8, 2017. Retrieved May 4, 2017.
  40. "Nuclear Weapons: Who Has What at a Glance". armscontrol.org. Archived from the original on January 24, 2018. Retrieved May 4, 2017.
  41. "Global nuclear weapons: downsizing but modernizing". Stockholm International Peace Research Institute. June 13, 2016. Archived from the original on October 7, 2016. Retrieved May 4, 2017.
  42. Kristensen, Hans M.; Norris, Robert S. (May 3, 2016). "Russian nuclear forces, 2016". Bulletin of the Atomic Scientists. 72 (3): 125–134. Bibcode:2016BuAtS..72c.125K. doi:10.1080/00963402.2016.1170359.
  43. Kristensen, Hans M; Norris, Robert S (2015). "US nuclear forces, 2015". Bulletin of the Atomic Scientists. 71 (2): 107. Bibcode:2015BuAtS..71b.107K. doi:10.1177/0096340215571913. S2CID 145260117.
  44. "Minimize Harm and Security Risks of Nuclear Energy". Archived from the original on September 24, 2014. Retrieved May 4, 2017.
  45. Kristensen, Hans M; Norris, Robert S (2015). "Chinese nuclear forces, 2015". Bulletin of the Atomic Scientists. 71 (4): 77. Bibcode:2015BuAtS..71d..77K. doi:10.1177/0096340215591247. S2CID 145759562.
  46. "Measuring the Size of an Earthquake". U.S. Geological Survey. September 1, 2009. Archived from the original on September 1, 2009. Retrieved January 17, 2010.
  47. "Table-Top Earthquakes". December 7, 2022. Archived from the original on December 7, 2022. Retrieved February 10, 2023.
  48. Klemetti, Erik (April 2022). "Tambora 1815: Just How Big Was The Eruption?". Wired. Retrieved June 7, 2022.
  49. Evans, Robert (July 2002). "Blast from the Past". Smithsonian Magazine.
  50. "La Garita Mountains grew from volcanic explosions 35 million years ago". US Forest Service. August 25, 2021. Retrieved April 23, 2022.
  51. "Comet/Jupiter Collision FAQ – Post-Impact". www.physics.sfasu.edu. Archived from the original on August 28, 2021. Retrieved February 24, 2022.
  52. Richards, Mark A.; Alvarez, Walter; Self, Stephen; Karlstrom, Leif; Renne, Paul R.; Manga, Michael; Sprain, Courtney J.; Smit, Jan; Vanderkluysen, Loÿc; Gibson, Sally A. (November 1, 2015). "Triggering of the largest Deccan eruptions by the Chicxulub impact". Geological Society of America Bulletin. 127 (11–12): 1507–1520. Bibcode:2015GSAB..127.1507R. doi:10.1130/B31167.1. ISSN 0016-7606. S2CID 3463018.
  53. Jablonski, David; Chaloner, William Gilbert; Lawton, John Hartley; May, Robert McCredie (April 29, 1994). "Extinctions in the fossil record". Philosophical Transactions of the Royal Society of London. Series B: Biological Sciences. 344 (1307): 11–17. doi:10.1098/rstb.1994.0045.
  54. Kornei, Katherine (December 20, 2018). "Huge Global Tsunami Followed Dinosaur-Killing Asteroid Impact". Eos. Retrieved March 21, 2022.
  55. "Chicxulub Impact Event". www.lpi.usra.edu. Retrieved April 23, 2022.
  56. Henehan, Michael J.; Ridgwell, Andy; Thomas, Ellen; Zhang, Shuang; Alegret, Laia; Schmidt, Daniela N.; Rae, James W. B.; Witts, James D.; Landman, Neil H.; Greene, Sarah E.; Huber, Brian T. (October 21, 2019). "Rapid ocean acidification and protracted Earth system recovery followed the end-Cretaceous Chicxulub impact". Proceedings of the National Academy of Sciences. 116 (45): 22500–22504. Bibcode:2019PNAS..11622500H. doi:10.1073/pnas.1905989116. ISSN 0027-8424. PMC 6842625. PMID 31636204.
  57. Nield, David (October 22, 2019). "That Dinosaur-Killing Asteroid Instantly Acidified Our World's Oceans, Too". ScienceAlert. Retrieved April 23, 2022.
  58. Zahnle, K. J. (August 26, 2018). "Climatic Effect of Impacts on the Ocean". Comparative Climatology of Terrestrial Planets III: From Stars to Surfaces. 2065: 2056. Bibcode:2018LPICo2065.2056Z.
  59. Carroll, Carroll (2017). "Sun: Amount of Energy the Earth Gets from the Sun". Ask a Physicist. Archived from the original on August 16, 2000.
  60. Lü, Jiangning; Sun, Youshun; Nafi Toksöz, M.; Zheng, Yingcai; Zuber, Maria T. (December 1, 2011). "Seismic effects of the Caloris basin impact, Mercury". Planetary and Space Science. 59 (15): 1981–1991. Bibcode:2011P&SS...59.1981L. doi:10.1016/j.pss.2011.07.013. hdl:1721.1/69472. ISSN 0032-0633.
  61. Luzum, Brian; Capitaine, Nicole; Fienga, Agnès; Folkner, William; Fukushima, Toshio; Hilton, James; Hohenkerk, Catherine; Krasinsky, George; Petit, Gérard; Pitjeva, Elena; Soffel, Michael (July 10, 2011). "The IAU 2009 system of astronomical constants: the report of the IAU working group on numerical standards for Fundamental Astronomy". Celestial Mechanics and Dynamical Astronomy. 110 (4): 293. Bibcode:2011CeMDA.110..293L. doi:10.1007/s10569-011-9352-4. ISSN 1572-9478. S2CID 122755461.
  62. "Ask A Physicist: Sun". Cosmic Helospheric Learning Center. August 16, 2000. Archived from the original on August 16, 2000. Retrieved February 23, 2022.
  63. "Sun Fact Sheet". nssdc.gsfc.nasa.gov. Retrieved March 22, 2022.
  64. Khokhlov, A.; Mueller, E.; Hoeflich, P. (March 1, 1993). "Light curves of type IA supernova models with different explosion mechanisms". Astronomy and Astrophysics. 270: 223–248. Bibcode:1993A&A...270..223K. ISSN 0004-6361.
  65. Maselli, A.; Melandri, A.; Nava, L.; Mundell, C. G.; Kawai, N.; Campana, S.; Covino, S.; Cummings, J. R.; Cusumano, G.; Evans, P. A.; Ghirlanda, G.; Ghisellini, G.; Guidorzi, C.; Kobayashi, S.; Kuin, P.; LaParola, V.; Mangano, V.; Oates, S.; Sakamoto, T.; Serino, M.; Virgili, F.; Zhang, B.- B.; Barthelmy, S.; Beardmore, A.; Bernardini, M. G.; Bersier, D.; Burrows, D.; Calderone, G.; Capalbi, M.; Chiang, J. (2014). "GRB 130427A: A Nearby Ordinary Monster". Science. 343 (6166): 48–51. arXiv:1311.5254. Bibcode:2014Sci...343...48M. doi:10.1126/science.1242279. PMID 24263134. S2CID 9782862.
  66. The LIGO Scientific Collaboration; the Virgo Collaboration; Abbott, B. P.; Abbott, R.; Abbott, T. D.; Abernathy, M. R.; Acernese, F.; Ackley, K.; Adams, C. (June 14, 2016). "Properties of the Binary Black Hole Merger GW150914". Physical Review Letters. 116 (24): 241102. arXiv:1602.03840. Bibcode:2016PhRvL.116x1102A. doi:10.1103/PhysRevLett.116.241102. ISSN 0031-9007. PMID 27367378. S2CID 217406416.
  67. "Big Bang Energy (Ask an Astrophysicist)". Imagine the Universe!. February 11, 1998. Archived from the original on August 19, 2014. Retrieved March 23, 2022.
  68. US Army FM 3–34.214: Explosives and Demolition, 2007, page 1–2.
  69. Török, Zoltán; Ozunu, Alexandru (2015). "Hazardous properties of ammonium nitrate and modeling of explosions using TNT equivalency". Environmental Engineering & Management Journal. 14 (11): 2671–2678. doi:10.30638/eemj.2015.284.
  70. Queensland Government. "Storage requirements for security sensitive ammonium nitrate (SSAN)". Archived from the original on October 22, 2020. Retrieved August 24, 2020.
  71. "Whitehall Paraindistries". Archived from the original on February 10, 2017. Retrieved March 31, 2017.
  72. "FM 5–250" (PDF). bits.de. United States Department of the Army. Archived (PDF) from the original on August 5, 2020. Retrieved October 23, 2019.

Share this article:

This article uses material from the Wikipedia article TNT_equivalent, and is written by contributors. Text is available under a CC BY-SA 4.0 International License; additional terms may apply. Images, videos and audio are available under their respective licenses.