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* A few '''isograms''' of [[dilithium crystal]] was barely enough to power the [[sonic shower]]s of a starship. ({{VOY|Equinox}}) |
* A few '''isograms''' of [[dilithium crystal]] was barely enough to power the [[sonic shower]]s of a starship. ({{VOY|Equinox}}) |
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| − | * |
+ | *'''10 isograms''' of [[antimatter]]-eminating {{dis|cell|biology}}ular matter from the body of a [[nucleogenic lifeform]] were sufficient to enhance the {{USS|Equinox}}'s [[warp factor]] by .03 percent for one [[month]]. ({{VOY|Equinox}}) |
'''Isoton''' |
'''Isoton''' |
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* An '''80 isoton''' yield [[gravimetric torpedo]] was used by {{USS|Voyager}} to destroy a [[harmonic resonance chamber]] containing approximately 144 million [[omega molecule]]s (72% of approximately 200 million) in [[2374]]. ({{VOY|The Omega Directive}}) |
* An '''80 isoton''' yield [[gravimetric torpedo]] was used by {{USS|Voyager}} to destroy a [[harmonic resonance chamber]] containing approximately 144 million [[omega molecule]]s (72% of approximately 200 million) in [[2374]]. ({{VOY|The Omega Directive}}) |
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| − | * A '''90 isoton''' bomb of enriched [[ultritium]] had the explosion radius of 800 |
+ | * A '''90 isoton''' bomb of enriched [[ultritium]] had the explosion {{dis|radius|geometry}} of 800 [[kilometer]]s. Such a bomb was used to blow up a [[ketracel-white]] facility in [[Cardassian]] space in 2374. ({{DS9|A Time to Stand}}) |
* '''200 isotons''' was the explosive yield of a photon torpedo with a class-6 warhead. ({{VOY|Scorpion, Part II}}) |
* '''200 isotons''' was the explosive yield of a photon torpedo with a class-6 warhead. ({{VOY|Scorpion, Part II}}) |
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== Appendices == |
== Appendices == |
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| − | === Background === |
+ | === Background information === |
| − | According to the ''[[Star Trek: Deep Space Nine Technical Manual]]'', 25 isotons is the maximum theoretical yield of a matter-antimatter reaction in photon torpedoes and that [[quantum torpedo]]es have at least twice the yield at 50+ isotons. (pg. 85) These figures are not compatible with the canonical |
+ | According to the ''[[Star Trek: Deep Space Nine Technical Manual]]'', 25 isotons is the maximum theoretical yield of a matter-antimatter reaction in photon torpedoes and that [[quantum torpedo]]es have at least twice the yield at 50+ isotons. (pg. 85) These figures are not compatible with the canonical statements in {{e|Scorpion, Part II}} of 200 isotons as the yield of a class-6 photon torpedo warhead and in {{film|12}} of 320 isotons as the yield of a class-12 photon torpedo. As with most other measures used in ''[[Star Trek]]'' there are no direct conversions to real world measures given. |
| ⚫ | In ''[[Star Trek: The Next Generation Technical Manual]]'' a figure of 1.5 kg of antimatter is given as the amount of warhead material carried by a standard photon torpedo. (pg. 129) Using standard physics calculations a direct 1:1 detonation would generate 64.4 megatons of energy. Warhead materials are however premixed to achieves the level of destructive force of an antimatter pod rupture containing 100 cubic meters of antideuterium. (pg. 69) Antimatter is stored as liquid or slush on starships. (pg. 68) Density of mere liquid antideuterium is around 160 kg per cubic meter. According to this comparison the destructive effect in the high annihilation rate energy release would be comparable to the effects of a 690 gigaton blast. Furthermore it is not clear if the 1.5 kg should be compared to the 200 - 320 isoton figures given on screen later on, or the 25 isoton figure given in the ''Star Trek: Deep Space Nine Technical Manual'' reference book to make a conversion. |
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| − | As with most other measures used in ''[[Star Trek]]'' there are no direct conversions to real world measures given. However, given the units of measure is in kilograms and the technical manual figures provided, a hypothetical calculation of an isoton is as follows: |
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| − | A ton of TNT (a metric ton = 1000 kg) is 4.184 × 10^9 Joules |
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| − | A megaton of TNT is 4.184 × 10^15 Joules |
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| − | c = 299 792 458 m/s |
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| − | Using the equation for mass-energy conversion: |
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| − | E = mc2 |
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| − | E = m*89875517873681764 |
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| − | |||
| − | With a standard Photon torpedo being 1.5kg matter and 1.5kg antimatter, this totals 3kg of reactants. Thus: |
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| − | E = 3*89875517873681764 |
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| − | E = 269626553621045292 Joules |
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| − | |||
| − | According to the technical manual, a standard photon torpedo yields a theoretical maximum of 25 isotons. Using the above theoretical maximum assuming all matter/antimatter is reacted, divided by the theoretical maximum for the torpedo's yield: |
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| − | 269626553621045292 / 25 = 10785062144841811.68 Joules/Isoton |
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| − | This amount divided by the amount of energy in one megaton: |
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| − | 10785062144841811.68 / 4.184 × 10^15 = 2.578 megatons |
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| − | |||
| − | Therefore, 1 isoton = 2.578 megatons. |
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| − | The ‘usable’ yield from a photon torpedo is 18.5 isotons according to the tech manual, which is roughly 47.693 megatons, |
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| − | while the theoretical maximum yield of 25 isotons is roughly 64.44 megatons. |
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| − | A quantum torpedo has a yield of about 52 isotons, which is roughly 134 megatons. |
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| − | |||
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| ⚫ | In ''[[Star Trek: The Next Generation Technical Manual]]'' a figure of 1 |
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=== External link === |
=== External link === |
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Revision as of 17:55, 2 September 2015
An isoton was a measure of both mass and explosive yield used by at least Federation, Dominion, Borg and Malon science during the 24th century and Kyrian in the 31st century.
Comparative list of measure
Isogram = 1 one-millionth of an isoton
- A few isograms of dilithium crystal was barely enough to power the sonic showers of a starship. (VOY: "Equinox")
- 10 isograms of antimatter-eminating cellular matter from the body of a nucleogenic lifeform were sufficient to enhance the USS Equinox's warp factor by .03 percent for one month. (VOY: "Equinox")
Isoton
- 10 isotons of explosives were ordered by Kilana to be fired by her Jem'Hadar troops near a Jem'Hadar attack ship in which a team from Deep Space 9 was seeking shelter in 2373. (DS9: "The Ship")
- 12 isotons of zeolitic ore was proposed by Captain Kathryn Janeway for trade with the Annari in exchange for deuterium injectors in 2377. (VOY: "Nightingale")
- A 25 isoton photon torpedo explosion could destroy an entire city within seconds. (VOY: "Living Witness")
- A 54 isoton yield gravimetric charge could blow up a small planet. (VOY: "The Omega Directive")
- An 80 isoton yield gravimetric torpedo was used by USS Voyager to destroy a harmonic resonance chamber containing approximately 144 million omega molecules (72% of approximately 200 million) in 2374. (VOY: "The Omega Directive")
- A 90 isoton bomb of enriched ultritium had the explosion radius of 800 kilometers. Such a bomb was used to blow up a ketracel-white facility in Cardassian space in 2374. (DS9: "A Time to Stand")
- 200 isotons was the explosive yield of a photon torpedo with a class-6 warhead. (VOY: "Scorpion, Part II")
- 320 isotons was the explosive yield of a Class 12, Mark VI long-range photon torpedo. (Star Trek Into Darkness, display graphics)
- A 5 million isoton explosion of a multi-kinetic neutronic mine could affect an entire star system. The shock wave had a dispersive force radius of 5 light years. (VOY: "Scorpion, Part II")
- 90 million isotons of antimatter waste could be transported by a Malon export vessel, eleventh gradient. (VOY: "Night")
- 6 billion isotons of antimatter waste was produced daily, in 2375, by the Malon civilization as an industrial byproduct. (VOY: "Night")
- 4 trillion isotons of antimatter waste could be transported with another type of Malon export vessel. (VOY: "Juggernaut")
Appendices
Background information
According to the Star Trek: Deep Space Nine Technical Manual, 25 isotons is the maximum theoretical yield of a matter-antimatter reaction in photon torpedoes and that quantum torpedoes have at least twice the yield at 50+ isotons. (pg. 85) These figures are not compatible with the canonical statements in "Scorpion, Part II" of 200 isotons as the yield of a class-6 photon torpedo warhead and in Star Trek Into Darkness of 320 isotons as the yield of a class-12 photon torpedo. As with most other measures used in Star Trek there are no direct conversions to real world measures given.
In Star Trek: The Next Generation Technical Manual a figure of 1.5 kg of antimatter is given as the amount of warhead material carried by a standard photon torpedo. (pg. 129) Using standard physics calculations a direct 1:1 detonation would generate 64.4 megatons of energy. Warhead materials are however premixed to achieves the level of destructive force of an antimatter pod rupture containing 100 cubic meters of antideuterium. (pg. 69) Antimatter is stored as liquid or slush on starships. (pg. 68) Density of mere liquid antideuterium is around 160 kg per cubic meter. According to this comparison the destructive effect in the high annihilation rate energy release would be comparable to the effects of a 690 gigaton blast. Furthermore it is not clear if the 1.5 kg should be compared to the 200 - 320 isoton figures given on screen later on, or the 25 isoton figure given in the Star Trek: Deep Space Nine Technical Manual reference book to make a conversion.
External link
- Iso- prefixes - for the real-world uses of the iso- prefix