Fact-checked by Grok 2 weeks ago

TNT equivalent

TNT equivalent is a standardized measure of explosive energy, defined as the mass of trinitrotoluene (TNT) that would release an equivalent amount of destructive output, typically assessed through parameters such as peak overpressure or impulse from blast waves. This convention facilitates direct comparisons of yields among diverse explosives, where the equivalence factor for a given material is derived empirically by matching its effects to those of TNT under controlled conditions. The unit is expressed in tons (or kilotons and megatons for larger events), with one metric ton of TNT conventionally equivalent to approximately 4.184 gigajoules of energy, though practical equivalence often prioritizes blast effects over total chemical energy release due to variations in detonation products and afterburning. It originated in military and industrial contexts for evaluating munitions but extends to nuclear yields—such as the 15-kiloton Hiroshima bomb—and geophysical phenomena like volcanic blasts or meteor airbursts, enabling consistent risk assessments and scaling laws in safety engineering and hazard modeling. Key limitations include context-dependent values, as confined versus open-air detonations or fuel-rich compositions can alter effective yields, necessitating test-specific calibrations for accuracy.

Fundamentals

Definition

The TNT equivalent is a conventional measure for expressing the energy output or blast effects of an explosion in terms of the equivalent mass of trinitrotoluene (TNT) required to produce a comparable result. This standardization facilitates comparisons across diverse explosive sources, including conventional chemical detonations, nuclear fission or fusion reactions, asteroid impacts, and volcanic eruptions, by normalizing their destructive potential relative to TNT's well-characterized performance. Unlike direct energy units such as joules, TNT equivalence emphasizes practical blast parameters like peak overpressure and impulse, though it is often approximated via total chemical or physical energy release when direct measurement is infeasible. The baseline for equivalence is derived from TNT's characteristics, where 1 metric (1,000 kg) of is defined to yield approximately 4.184 gigajoules (4.184 × 10^9 joules) of energy, equivalent to about 1,000 megacalories. This stems from calorimetric measurements of TNT's of , adjusted for , and serves as the for yields—e.g., a 1-kiloton event corresponds to 1,000 s of . Equivalence ratios for other materials are determined experimentally through methods like cratering tests, air-blast recordings, or , revealing that many high explosives (e.g., PETN or ) exhibit TNT equivalences exceeding 1.0 due to higher velocities and , while factors like confinement or afterburn can alter effective yields.

Standard Units

The standard unit for TNT equivalent is the tonne of TNT, defined using the metric (1,000 kilograms) as the base mass equivalent. This unit quantifies energy release by convention, with one tonne of TNT equivalent to exactly 4.184 gigajoules (4.184 × 10^9 joules). This defined value derives from the international calorie standard (1 kcal = 4.184 kJ), equating to one gigacalorie per tonne, rather than empirical measurements of , which vary between 4.0 and 4.3 gigajoules due to composition factors like purity and efficiency. For scaling larger yields, metric prefixes are applied: one ( or ) equals 1,000 (4.184 × 10^12 joules), and one megatonne (Mt) equals 1,000,000 (4.184 × 10^15 joules). These units facilitate comparisons across explosive events, converting directly to SI joules for precise calculations while providing intuitive mass-based scaling for non-specialists. Although occasionally expressed in short tons (907 kg) in U.S. contexts, standards prioritize the metric to align with global .

Historical Development

Origins and Derivation

The concept of TNT equivalence originated in practices to standardize comparisons of explosive performance across different materials, addressing the absence of a universal metric for blast effects, cratering, or structural damage prior to widespread adoption in and testing. (TNT) was selected as the reference standard owing to its , insensitivity to shock, consistent of about 6,900 m/s, and reproducible energy output under controlled conditions, allowing reliable benchmarking against more variable s like or . Derivation of TNT equivalence relies on empirical testing rather than purely thermodynamic calculations, as blast effects depend on factors such as detonation pressure, , and gas expansion, which correlate imperfectly with chemical heat of explosion. Common methods include the ballistic mortar test, where the explosive's ability to propel a mortar is measured against ; the sand crush or Trauzl lead block expansion test for relative volume displacement; and air blast recordings scaled to TNT's characteristic profile. These yield a relative effectiveness factor (often denoted as RE factor), where is defined as 1.0, enabling conversion such that an explosive's yield in TNT tons equals its mass times its RE factor. The baseline energy release for is calibrated at 4.184 megajoules per , derived from bomb calorimetry of its products (primarily , CO₂, N₂, and H₂O), though equivalence ratios frequently deviate from this value due to differences in efficiency to air or ground— for instance, high explosives like may show 1.5–1.6 RE in blast tests despite similar or higher . This approach prioritizes observable hydrodynamic and phenomena over isolated , reflecting causal mechanisms in real detonations where incomplete energy transfer to work occurs.

Evolution in Measurement Standards

The concept of TNT equivalence originated in the late with empirical tests designed to quantify relative explosive power, such as the Trauzl lead block test introduced around 1880, which measured volume expansion in a lead container to assess , and the ballistic mortar test, which gauged as a proxy for total output. These methods compared an unknown explosive's performance directly to under controlled conditions but suffered from variability due to factors like , confinement, and test , with no . Sand crush and plate dent tests later supplemented these, focusing on shock pressure and detonation products, yet equivalence ratios often differed by 20-50% across tests, reflecting 's selection as a reference for its and reproducible of approximately 6,900 m/s. During and the , the advent of weapons necessitated scalable yield comparisons, shifting emphasis toward air blast overpressure and impulse measurements, calibrated against large-scale detonations like those in (1962-1965), which validated scaling laws for spherical charges. Early yield estimates, such as the 1945 test's 21 kilotons, relied on empirical correlations from conventional explosives, but inconsistencies in 's effective energy release—due to incomplete combustion and afterburning—prompted refinements in measurement protocols, including standardized densities (typically 1.6 g/cm³) and hemispherical charge geometries for blast equivalence. By the , military standards like those in U.S. Army manuals incorporated multiple metrics, recognizing that heat-of-explosion equivalence (around 4.2 MJ/kg for ) diverged from blast equivalence, where only about 50% of converts to air shock waves. In the post-war era, the convention evolved into a fixed energy-based standard for consistency across applications: one metric tonne of TNT is defined as releasing exactly 4.184 × 10⁹ joules, derived from approximating TNT's heat of detonation at 1 international kilocalorie per gram (4.184 MJ/kg), though laboratory measurements vary from 4.0 MJ/kg in open conditions to 4.6 MJ/kg under confinement due to differences in reaction completeness. This value, solidified by the 1960s in nuclear effects literature and engineering handbooks, prioritizes computational uniformity over precise calorimetry, enabling hopkinson-cranz scaling for blast predictions (Z = R/W^{1/3}, where W is TNT mass). Contemporary critiques highlight ongoing limitations, as equivalence depends on phenomenology—e.g., lower for impulse than peak pressure—and recommend supplementing with absolute performance data from high-speed gauging and hydrodynamic simulations to address historical variabilities.

Calculation and Methodology

Energy Release Basis

The TNT equivalent on an energy release basis quantifies the total chemical energy liberated per unit mass during detonation, standardized for trinitrotoluene (TNT) at 4.184 megajoules per kilogram (MJ/kg). This defined value establishes that one metric tonne of TNT releases precisely 4.184 gigajoules (GJ), equivalent to $10^9 thermochemical calories, aligning the unit with historical calorimetric standards for computational convenience in yield assessments. Empirical measurements of TNT's heat of , accounting for the rapid decomposition \ce{2C7H5N3O6 -> 3N2 + 5H2O + 12CO + 7C} (or variants with CO2 formation under oxygen-rich conditions), typically yield 4.0–4.7 MJ/, influenced by factors such as , confinement, and post-detonation combustion of carbon residues. The standardized 4.184 MJ/, however, prioritizes uniformity over variability in lab-derived values, enabling direct proportionality for equivalence: the TNT mass m is m = E / (4.184 \times 10^6) , where E is the total event energy in joules. This basis treats the as a near-complete conversion of molecular into gaseous expansion, heat, and of products, with approximately 25–30% of the output manifesting as in air bursts. For non-chemical events like or impacts, scales the prompt release analogously, though differences in fractions or multi-phase dynamics necessitate adjustments for specific applications. Limitations arise when total poorly predicts localized effects, as ratios can deviate by 20–50% from pressure-based metrics due to variances in (around 6900 m/s for ) and .

Blast and Pressure Equivalence Methods

Blast equivalence methods for determining equivalent focus on matching the profiles of the produced by an unknown to those generated by a reference charge under comparable conditions, typically in free air. These approaches prioritize observable blast effects, such as peak incident (side-on) P_s and positive-phase i_s, over total release, as propagation depends on factors like , product temperature, and gas expansion efficiency. Experimental setups involve detonating the test at ground zero or in a spherical charge configuration, with piezoelectric gauges positioned at multiple scaled distances Z = r / W^{1/3} (where r is radial distance in meters and W is equivalent mass in kilograms) to capture time-resolved histories. The equivalence factor f is then derived as f = (W_{\text{test}} / W_{\text{TNT}}), where W_{\text{TNT}} is back-calculated from measured parameters using -calibrated models to achieve parity in P_s or i_s at specified Z. A primary tool for this is the Kingery-Bulmash parameterization, an empirical curve fit to large datasets of TNT air-blast measurements, expressing P_s, i_s, and duration as functions of Z for hemispherical surface bursts or spherical free-air detonations. For a given measured P_s at distance r, the method inverts the fit to solve for W_{\text{TNT}} such that the predicted P_s matches the observation, yielding f = W_{\text{test}} / W_{\text{TNT}}. This yields blast-specific equivalences, which can diverge from calorimetric values; for instance, high-brisance explosives like PETN exhibit f \approx 1.4-1.6 for peak due to sharper shock fronts, but lower f for owing to faster decay in the afterflow phase. -based equivalence, computed as \int_0^{t_d} (P(t) - P_0) dt where t_d is positive duration and P_0 , better captures structural loading and is preferred for damage assessment, as it integrates both peak and duration effects. Pressure equivalence is particularly useful for near-field applications, where initial shock strength dominates, and can be estimated from detonation parameters via P_s \propto \rho_0 D^2 (initial density \rho_0, velocity D), scaled to TNT's P_{s,\text{TNT}} \approx 2.0 \times 10^5 MPa at the Chapman-Jouguet plane. However, discrepancies arise for explosives with afterburning or non-ideal detonation, as TNT's lower detonation temperature (≈3200 K) results in more efficient far-field coupling compared to hotter aluminized compositions, potentially underpredicting f by 10-20% if impulse is ignored. Validation requires multiple gauges to confirm self-similarity in the intermediate-to-far field (Z > 1 m/kg^{1/3}), with uncertainties reduced via least-squares fitting to curve families. These methods underpin standards like those in UFC 3-340-02 for munitions testing, emphasizing empirical measurement over theoretical prediction due to variability in explosive composition and confinement.

Applications

Conventional Explosives

The TNT equivalent provides a standardized measure for evaluating the blast effects and energy output of conventional explosives, enabling consistent comparisons across diverse chemical formulations such as , , and . This metric accounts for differences in characteristics, including heat of explosion and propagation, relative to as the baseline. In and contexts, it informs weapon design, storage safety distances, and hazard assessments by correlating explosive mass with equivalent TNT yield via experimentally derived relative effectiveness factors or direct blast testing. The reference energy release for detonation is 4.184 megajoules per kilogram, derived from calorimetric measurements of its complete under explosive conditions. Equivalence for other conventional is often calculated as multiplied by a relative effectiveness (RE) factor, where has an RE of 1.0; for example, PETN-based charges exhibit higher air-blast equivalence due to greater detonation , as determined through arena tests measuring peak . This approach prioritizes empirical validation over theoretical predictions, as blast scaling laws like Hopkinson-Cranz exhibit deviations for non-ideal at varying distances and geometries. In military applications, yields of conventional bombs are typically expressed in tons of TNT equivalent to gauge lethality and . The U.S. GBU-43/B Massive Ordnance Air Blast (), deployed in 2017, contains 8,500 kg of H-6 explosive (a mixture including and aluminum) and delivers approximately 11 short tons (10 metric tonnes) TNT equivalent, producing a exceeding 150 meters for lethal overpressures. Russia's Aviation Thermobaric Bomb of Increased Power (FOAB), tested on , 2007, reportedly achieves 44 tons TNT equivalent through volumetric combustion enhancement, surpassing the by a factor of four despite a similar total mass, though independent verification remains limited to Russian Ministry of Defense statements. Smaller munitions, such as the U.S. with 192 kg fill ( plus aluminum), equate to about 200 kg , scaling effects proportionally via cubed-root laws for incident pressure. Large-scale or accidental detonations of conventional stockpiles demonstrate kiloton-scale potentials. The on December 6, 1917, resulted from the collision involving laden with 2,653 tons of high explosives (primarily and ), releasing 2.9 kilotons equivalent and generating a that devastated 2 square kilometers. Similarly, the August 4, 2020, port explosion of 2,750 tons produced 0.5 to 1.1 kilotons equivalent, as seismically recorded and modeled, underscoring ammonium nitrate's variable RE factor of 0.3 to 0.42 depending on confinement and . These events highlight TNT equivalence's utility in forensic reconstruction and risk modeling, where actual yields often fall below theoretical maxima due to incomplete or fragmentation losses.

Nuclear Weapons

The explosive of nuclear weapons is measured in TNT equivalents to standardize comparisons of their release, with yields typically expressed in kilotons () or megatons (Mt) of , where 1 kt equals the from exploding 1,000 tons of , or approximately 4.184 × 10^{12} joules. This metric derives from the total imparted to the bomb casing and subsequent , primarily from of or in bombs and additional in thermonuclear devices. Yields are calculated theoretically from the mass of and efficiency of the chain reaction, using E = mc² to convert mass defect to , then scaled by empirical test . Post-detonation yields from tests are verified empirically through methods such as analyzing seismic magnitudes, readings of fireball brightness, radiochemical debris sampling, and hydrodynamic simulations calibrated against known explosions. For instance, the test on July 16, 1945, at , produced a yield initially assessed at 18.6 but later refined through multiple analyses. The uranium-based "Little Boy" device airburst over on August 6, 1945, at an altitude of about 580 meters, yielded approximately 15 , fissioning roughly 0.7% of its 64 kg of highly core. The plutonium bomb over three days later achieved 21 . Thermonuclear weapons dramatically increased yields via multi-stage designs, where a primary triggers in a secondary stage, releasing energies orders of magnitude greater than alone. The U.S. test on November 1, 1952, yielded 10.4 Mt, while the Soviet AN602 "," detonated on October 30, 1961, over , produced 50 Mt—the highest ever tested—equivalent to fusing about 2.4 kg of deuterium-tritium at near-perfect efficiency, though designed for up to 100 Mt but scaled down to reduce fallout. These measurements rely on cross-verified data from instruments, as theoretical predictions alone underestimate real-world inefficiencies like losses and incomplete burn-up. While TNT equivalence captures total prompt energy, nuclear blasts differ from chemical explosions in delivering a higher fraction as and ionizing particles, altering damage profiles beyond simple pressure scaling.

Non-Military Examples

The TNT equivalent is applied to quantify from , providing a standardized measure for comparing seismic, volcanic, and impact events to yields. Earthquakes release vast seismic , often expressed in this unit via established conversion formulas relating to joules, then to tons (1 ton ≈ 4.184 × 10^9 joules). The (moment 9.5), the largest recorded, released seismic estimated at 2 to 3 gigatons of TNT equivalent, calculated from log₁₀(E) ≈ 5.24 + 1.44 × M_w where E is in joules. This dwarfs the 2011 Tōhoku earthquake (M_w 9.0–9.1), at approximately 475 megatons, yet illustrates how each full increase multiplies by roughly 31.6 times. Volcanic supereruptions also yield immense energies. The most recent major eruption, around 640,000 years ago, expelled over 1,000 km³ of material with an estimated total energy release exceeding 2 million megatons of , far surpassing modern arsenals. and impacts provide extreme examples. The Chicxulub impactor, linked to the ~66 million years ago, delivered kinetic energy equivalent to 100 teratons (100 million megatons) of , vaporizing rock and triggering global climate disruption. The 1908 , an airburst over , released about 10–20 megatons, flattening 2,000 km² of forest without forming a crater. Similarly, 's fragments struck in 1994, with total impact energy around 300–6,000 gigatons of equivalent, producing fireballs larger than . Industrial accidents occasionally use TNT equivalents for analysis, such as the 2020 Beirut port explosion from 2,750 tons of , yielding roughly 1–1.5 kilotons equivalent—comparable to a small tactical device but non-military in origin. These measurements aid without implying direct explosivity parallels, as natural events involve different dissipation mechanisms like seismic or .

Limitations and Criticisms

Inherent Inaccuracies

The TNT equivalent is fundamentally an , as experimental determinations introduce errors from uncompensated energy losses, such as those due to shock heating, gas expansion, and interactions with test apparatus like steel casings, which can consume up to 500 cal/g in standard configurations. Air blast tests, commonly used for equivalence, exhibit variations of up to 25% in reported factors even for itself, arising from differences in profiles that evolve with standoff distance and fail to fully capture or negative phase accurately. Standard testing methods exacerbate these issues through inconsistencies like unspecified or uncontrolled charge densities, which directly influence Chapman-Jouguet pressures and overall output predictions. For example, the sand crush test skews results by neglecting density effects on , while the Trauzl test shows poor correlation with of explosion values, limiting its reliability for broad equivalence assessments. Ballistic mortar and plate dent tests similarly suffer from unaccounted deformation energies and confinement artifacts, yielding equivalence values that diverge significantly across methods for the same . Literature-reported TNT equivalence factors for identical explosives display substantial scatter, often spanning ranges that propagate large uncertainties into modeling and estimates. This variability stems partly from the metric's sensitivity to specific parameters—equivalence for peak rarely matches that for total —and is compounded in non-ideal or confined environments, where oxygen availability and wall interactions alter partitioning beyond free-air chemical benchmarks. For aluminized or composite explosives, models underestimate yields by overlooking post- afterburning, as these late-phase reactions contribute additional not reflected in initial states. Such discrepancies highlight the caloric basis of equivalence as a convenient but inherently limited , particularly when extrapolating to heterogeneous events like yields where and fractions dominate over pure hydrodynamic effects.

Debates on Applicability

The applicability of TNT equivalence to events beyond conventional chemical high explosives is contested due to discrepancies in energy partitioning and release mechanisms. For weapons, the measure quantifies total or yield but overlooks how energy is distributed—typically 35% to , 50% to , and 15% to initial in an —contrasting with TNT's near-total conversion to mechanical shock and heat without prompt ionizing effects or electromagnetic pulses. Critics argue this renders the equivalence insufficient for assessing comprehensive damage, as and fallout extend lethal radii far beyond zones comparable to a TNT of equivalent mass. In assessments of non-ideal or aluminized explosives, such as those used in , TNT equivalence varies significantly by metric: up to 25% deviation in air-blast scaling with distance from the source, and differing factors for peak versus , complicating predictions of structural response or fragment hazards. Empirical tests, including cylinder and air-blast measurements, reveal that equivalence derived from one method (e.g., ) poorly predicts outcomes in others, prompting recommendations to favor Chapman-Jouguet calculations for precision in heterogeneous compositions. For geophysical events like impacts or volcanic eruptions, TNT equivalence serves as a rough total- proxy but misleads on localized effects, as kinetic or magmatic energy dissipates primarily into seismic , cratering, and rather than isotropic air blasts akin to surface detonations. airbursts, for instance, channel energy into thermal pulses and with minimal ground coupling, yielding blast radii divergent from TNT models despite matched yields; a 500-kiloton event like in 2013 produced overpressures akin to a nuclear device but without subsurface excavation. Similarly, magnitudes equate to TNT via seismic efficiency (around 1-10% of elastic strain energy as radiated ), yet the protracted release precludes explosive overpressures, rendering the metric irrelevant for blast damage analogies.

Conversions and Comparisons

To Other Energy Units

The TNT equivalent for one metric tonne is defined as exactly 4.184 gigajoules (GJ), or 4.184 × 10⁹ joules (J), a convention established to standardize measurements independent of variations in actual efficiency. This value aligns with the thermochemical , where one corresponds to exactly 10⁹ calories (cal), as the thermochemical is defined as precisely 4.184 J. Equivalent values in other common units, derived from the joule definition and standard factors, include:
UnitEquivalent for 1 TNT
(BTU, international table)3.965667 × 10⁶ BTU
Foot-pound force (ft·lbf)3.08596 × 10⁹ ft·lbf
Watt-hour (Wh)1.162222 × 10⁶ Wh
These conversions facilitate comparisons across scientific, , and systems, though practical yields may deviate slightly due to non-ideal conditions.

Relative Effectiveness Factors

The relative effectiveness factor (RE factor), synonymous with equivalence in many contexts, measures the or power of an relative to on a -for- basis. It is calculated as the ratio of the of needed to achieve the same specific effect (such as peak or ) as one unit of the tested , enabling of effects for , , and purposes. This factor is not a fixed property but varies with the performance metric—e.g., cylinder expansion for , air parameters for , or cratering for ground effects—and experimental conditions like charge confinement, , and geometry. RE factors are derived empirically through standardized tests, including ballistic mortar for work output, plate dent for high-pressure effects, or arena tests for air scaling. Theoretical estimates may supplement data using parameters like Chapman-Jouguet or of , but discrepancies arise for non-ideal explosives (e.g., those with afterburning components like aluminum), where energy release timing affects outcomes. For instance, aluminized compositions often show lower RE in early phases but higher total due to delayed . In regulatory and applications, conservative RE values are selected to ensure safe standoff distances and storage separations. The following table summarizes RE factors from air blast measurements for select high explosives, based on scaled tests comparing peak incident and positive-phase to baselines (values expressed as decimals relative to =1.0):
ExplosivePeak Overpressure REImpulse RE
1.101.15
1.221.67
(60/40)0.950.59
Ammonium Picrate0.850.74
These air blast-derived factors, obtained from hemispherical surface burst experiments, highlight metric-specific variations; Torpex's elevated impulse RE reflects its oxygen-balanced formulation enhancing sustained pressure. For applications, RE may align more closely with tests, where values for RDX-based fills exceed 1.5. Practitioners must validate RE for specific scenarios, as universal application overlooks hydrodynamic differences in products.

References

  1. [1]
    [PDF] TNT Equivalence - OSTI.gov
    ABSTRACT. The term "TNT Equivalence" is used throughout the explosives and related industries to compare the effects of the output of a given explosive to ...
  2. [2]
    [PDF] Airblast Measurements and Equivalency for Spherical ... - DTIC
    These results indicate that the pressure based. TNT equivalency at small scaled distances for some of the explosives tested can be significantly different than ...
  3. [3]
    Energy in a Ton of TNT - The Physics Factbook - hypertextbook
    Bibliographic Entry, Result (w/surrounding text), Standardized Result. Herter, Terry. Lecture 3: Cosmic Forces. "Some everyday and not so everyday examples ...
  4. [4]
    Hiroshima, Nagasaki, and Subsequent Weapons Testing
    Apr 29, 2024 · Two atomic bombs made from uranium-235 and plutonium-239 were dropped on Hiroshima and Nagasaki respectively early in August 1945.
  5. [5]
    Experimental study on the TNT equivalence for blast parameters in a ...
    Compared with explosions in free fields, the process of explosive energy release in a confined space is closely related to various factors such as oxygen ...
  6. [6]
    TNT Equivalent | UpCodes
    A measurement of the quantity of an explosive calculated by reference to the quantity of trinitrotoluene that contains the equivalent explosive energy.
  7. [7]
    [PDF] Estimating Equivalency Of Explosives Through A Thermochemical ...
    Comparing the detonation energy for an explosive with that of TNT allows estimation of the TNT equivalency with respect to peak pressure, while comparison of.
  8. [8]
    NIST Guide to the SI, Appendix B.9: Factors for units listed by kind of ...
    Feb 1, 2016 · Energy (includes Work) ; therm (U.S.) · joule (J), 1.054 804, E+08 ; ton of TNT (energy equivalent) · joule (J), 4.184, E+09.
  9. [9]
    Fireballs and bolides - NASA
    An event with an energy equivalent of one thousand tons of TNT explosives is termed a kiloton (kt) event, where 1 kt = 4.185 x 1012 Joules. In the Data ...
  10. [10]
    [PDF] Confined Combustion of TNT Explosion Products in Air
    In 1880, Nobel and Able [5] published their research on explosives. In 1881-2 Berthelot [6] with Vieille. [7] were the first to measure the detonation velocity ...
  11. [11]
    Properties of Selected High Explosives - PacSci EMC
    Explosives which detonate and propagate at velocities greater than 1000 m/s, are high explosives and include the secondary explosives RDX, HMX, HNS, DIPAM, ...<|separator|>
  12. [12]
    Chemical Blast Standard (1 kg) | Seismological Research Letters
    Jul 20, 2023 · This article refers to pressure waves (supersonic and acoustic) resulting from explosions as blast waves. TNT Equivalent Yield and Scaling Laws.
  13. [13]
    Which ton is referred to in 'a ton of TNT'? How much energy ... - Quora
    Jul 23, 2017 · The energy equivalent of 1 ton of TNT is defined to be 4.184 GJ, which is 4.184 × 10⁹ J (not 1 GJ as stated in the posted question).What's the destructive capability of one ton of TNT? - QuoraHow would you calculate the energy released (in tons of TNT) in a ...More results from www.quora.com
  14. [14]
    TNT Equivalent Calculator
    It stands for "2,4,6-trinitrotoluene". One kg of TNT releases 4.184 MJ of energy upon detonation. This value helps compare various high-energy events.Missing: conventional GJ
  15. [15]
    Re: How much energy can you obtain by detonating 1 Kg of TNT?
    Jul 18, 2000 · The energy of detonation for 1 kg of TNT is about 4.3 MJ/kg, with a 10% uncertainty.
  16. [16]
    Energy release characteristics of confined explosives at varying ...
    Aug 27, 2025 · Measurements of internal pressure evolution, shell velocity, air blast overpressure waveforms, and critical fragment dimensions provided key ...
  17. [17]
    [PDF] A FIELD EXPLOSION TEST OF HYDROGEN-AIR MIXTURES
    The TNT equivalent mass was calculated based on the value of energy/mass of hydrogen (119.628 MJ/kg) [5] and TNT (4.533 MJ/kg) [6], as shown in Table 1. Table 1 ...
  18. [18]
    Trinitrotoluene - an overview | ScienceDirect Topics
    Representative densities, heats of detonation, and TNT-equivalencies for common explosives. Explosive, ρ01(g/cc), ΔHd (MJ/kg), TNT-equivalent weight based on. P ...
  19. [19]
    Blast characteristics and TNT equivalence values for some ...
    We report measurement of the pressure-time profiles produced by the initiation at ground level of four common commercial sector explosives with different ...
  20. [20]
    Kingery-Bulmash Blast Parameter Calculator
    The Kingery-Bulmash Blast Parameter Calculator calculates the blast-wave parameters of a hemispherical free field air-blast, based on the empirical relations ...
  21. [21]
    Air blast TNT equivalence factors of high explosive material PETN ...
    Sep 5, 2019 · The concept of TNT equivalence is often invoked to predict the blast parameters generated from explosions, in which high explosives other ...
  22. [22]
    Air blast TNT equivalence factors of high explosive material PETN ...
    Sep 5, 2019 · This paper discusses the TNT equivalence concept for bare charges using Pentaerythritol tetranitrate (PETN). At first, a review of different ...<|separator|>
  23. [23]
    How MOAB Works - Science | HowStuffWorks
    Aug 28, 2023 · The atomic bomb that decimated Hiroshima had an explosive power equivalent to 15,000 tons of TNT. In contrast, the MOAB has an explosive force ...The Basics · The Delivery · The Power Inside · Understanding the MOAB Bomb
  24. [24]
    What to Know About the GBU-43/B, 'Mother of All Bombs' - DVIDS
    Jul 12, 2017 · The FOAB is said to use more efficient explosives, yielding the equivalent of 44 tons of TNT with a blast radius of 300 meters – double that of ...
  25. [25]
    The 10 biggest explosions in history | Live Science
    Jul 20, 2023 · ... Halifax, Canada. It exploded with more force than any man-made explosion before it, equivalent to roughly 3 kilotons of TNT. The blast sent ...
  26. [26]
    Beirut blast was 'historically' powerful - BBC
    Oct 5, 2020 · The port area of Beirut was destroyed by one of the biggest non-nuclear explosions in history.
  27. [27]
    [PDF] The Effects of Nuclear Weapons - GovInfo
    Nuclear weapons have effects including air and surface bursts, high-altitude, underwater, and underground bursts, and a new chapter on electromagnetic pulse.<|separator|>
  28. [28]
    [PDF] NUCLEAR WEAPONS TECHNOLOGY 101
    Hence, the fusion of two grams of deuterium and three grams of tritium produces 400 tons of TNT equivalent energy at 100% efficiency. That's 80 kilotons per ...
  29. [29]
    [PDF] The Physics of Nuclear Weapons - Stanford Electrical Engineering
    The basic fusion equation for a nuclear weapon is the first line of the next figure: Deuterium combines with tritium to produce helium, an extra neutron and ...
  30. [30]
    [PDF] Estimating the Yields of Nuclear Explosions
    The process of esti- mating the yields of Soviet explosions involves three steps: 1) calculate the magnitude of the seismic signal; then, 2) make corrections to ...
  31. [31]
    Revising Trinity | Los Alamos National Laboratory
    Sep 1, 2022 · Based on this and other methods, the official yield was declared in 1945 to be 18.6 kt TNT. Eighteen years later, in 1963, Los Alamos and the ...
  32. [32]
    [PDF] 11%)~~
    nuclear weapon explosions requires the yields of these explosions. The yield ... The weapon yield was assumed to be 15 kt in the calculations. * D. C. ...<|separator|>
  33. [33]
    The untold story of the world's biggest nuclear bomb
    Oct 29, 2021 · ... bomb equivalent to 50 million tons of TNT. (Applause.) We have said that we have a bomb as powerful as 100 million tons of TNT. And we have ...
  34. [34]
    Earthquake Magnitude, Energy Release, and Shaking Intensity
    Earthquake magnitude, energy release, and shaking intensity are all related measurements of an earthquake that are often confused with one another.View Media Details · Magnitude Types · How much bigger is a...Missing: TNT | Show results with:TNT
  35. [35]
    How much energy does an earthquake release? - Volcano Discovery
    Seismic energy by magnitude compared ; 7.0, 2.0 x 10 · 556 GWh, 500 kilotons of TNT, Annual energy consumption of 47,000 average US households ; 8.0, 6.3 x 10 ...
  36. [36]
    A moment that changed Earth | NSF - National Science Foundation
    Jun 15, 2022 · The impact produced as much explosive energy as 100 teratons of TNT , 4.5 billion times the explosive power of the Hiroshima atomic bomb. It ...
  37. [37]
    Meteorites, Impacts, & Mass Extinction - Tulane University
    ... equivalent to about 20 million tons of TNT. Such a meteorite struck at Meteor Crater, Arizona (the Barringer Crater) about 49,000 years ago leaving a crater ...
  38. [38]
    [PDF] COMET SHOEMAKER-LEVY 9 FRAGMENT SIZE AND MASS ...
    The total kinetic energy of all the impacts was equivalent to the explosive yield of 300 Gigatons of TNT. Figure 1.
  39. [39]
    TNT equivalency in an internal explosion event - ScienceDirect.com
    Jul 15, 2019 · A new analytical model is presented to predict the gas pressure developed in a confined volume, for different types of explosives.
  40. [40]
    [PDF] The Effects Nuclear Weapons - International Panel on Fissile Materials
    Nuclear weapons effects include air blast, structural damage, thermal radiation, initial and residual radiation, and electromagnetic pulse.<|separator|>
  41. [41]
    On Meteors and Megatons - The Nuclear Secrecy Blog
    Feb 19, 2013 · So IMHO energy yield in tons of TNT is a valid and reasonable comparison to make, be it for nuclear bombs, asteroid strikes, large piles of TNT, ...Missing: criticisms | Show results with:criticisms
  42. [42]
    [PDF] Explosive Equivalence
    RE FACTOR. • The Relative Effectiveness (RE) factor, or TNT equivalence, is a design tool that allows computation of the effects of various explosives or ...