Honestly, I would just assume that it's the fault of the writers. The writers are basically told to take a technical term and stick it in the show to try and get back in touch with everyone who thought Star Trek was meant to be about science, despite the fact that Star Trek is on par to a philosophy student in scientific insight.Enigma wrote:As to the VOY episode "Living Witness", if we're to take at face value that 25 isotons could level a city in seconds, then a photorp would be enough if you coose the high end figure of 25 isotons equal to 64.4MT or the low end of 8.05MT (1 isotons = 322KT).
Another reason why I don't think the writers have thought things through is that in VOY "Juggernaut", a Malon export vessel could transport 4 trillion isotons of antimatter waste. If the waste were to detonate, the low end figure of its yield would be 1.288 exa-tons and its high end figure of 10.304 exa-tons.
But of course it is all complete garbage as apparently 54 isotons is enough to blow up a small planet. (VOY: "The Omega Directive")
Too inconsistent.
My personal theory is that isoton is a standard unit of reference when it comes to explosives. I say reference in the same way that in mathematics, we have terms for units such as Siemens (1/Ohms), radians, things that we use as a reference but are in fact unit-less. Similar to the way large explosives are refered to as simply 'kilotons' or 'megatons', we know it means pounds of dynamite. It's a standard label but without knowledge of what it refers to, it's meaningless.
So if we treat it like that, let's say we reference explosives to tons of antimatter. In the case of anti-matter, the actual amount of anti-matter is meaningless, because it's not the volume or size, but the mass of anti-matter being used. And if you know how much an equivalent mass of anti-matter releases when it contacts matter, you can use that as a frame of reference. So how much would a ton (or metric ton in this case) produce in terms of power?
One metric ton is 1000 kilograms, or 1,000,000 grams of deuterium. Because the speed of light is 3x108 m/s, a metric ton of anti-matter, when converted to pure energy, releases 3x1017 Joules, or 300 Peta-Joules of energy. Because of the nature of the explosion, we have the equivilent mass in normal matter being destroyed, for a total of 600 Peta-Joules of energy. Just for reference, one ton of TNT releases 4.184x109 Joules of energy. That sounds impressive, but considering we measure nuclear weapons often in megatons, a megaton is 4.184x1015. That means that you're looking at the equivilent of 72 one megaton nuclear weapons in the same package. Forgive me, but considering that both the United States and the Soviet Union had literally thousands of these weapons and bigger, and the worst we predicted was nuclear winter, I don't think anti-matter is really that efficient.
In all honestly? I'd arm my ships with high-yield nuclear weapons if I went toe to toe with a Federation starship, because I'd be reasonably even matched in terms of firepower.