Yield of an Iso-Ton
Posted: Tue Feb 23, 2010 4:46 am
For a long time the exact yield of the Iso-Ton has bothered me… so I decided I’d try my hand at calculating it…
This was a task that simply is nearly impossible to succeed at... but I found two figures that I could make work with some minor... wiggle room.
The first number I chose to use was 25 Isotons, given to me from VOY: Living Witness. It is said 25 Isotons would destroy a city in seconds. I'm going to presume total maximum destruction possible of everything in the city, every building, man woman, dog, tree, and outlying areas (wiping the city from the map)... and I'm going to give it a yield of 1 full gigaton.
Then I ran into the statement that 53 Isotons would destroy a small planet. (VOY: The Omega Directive)
This is a problem since doubling even one gigaton to 2 does not a planet destroy, even a small one... Using pluto as my example, I got 6x10^27 Joules or around 1.45 EXA tons to destroy…
That's a big gap... A really big gap... Thankfully for both examples I found a system to get close to the numbers required for the statements associated with them to make sense. The relation between Isotons isn't measured in any current normal methods. it's measured in eights.
Here is the outline of the relation.
1-8 = tons
9-16 = kilotons
17-24 = megatons
25-32 = gigatons
33-40 = teratons
41-48 = petatons
49-56 = exatons
This isn't perfect, and it certainly doesn't account for some of the stranger statements of 4 million isotons... but it does allow for slightly more consistent statements. OF NOTE: Since I'm already presuming a scale measured in eighths... for all we know our 'quantifications' are not valid here... 25 Isotons could just as easily refer to 731 megatons and 53 Isotons could just as easily be 1.45 EXAtons exact... we just don't know. But at least we now have a ballpark.
Again, this is about as general as I could make it with a minimal amount of effort put in. I'm sure someone here with better math than me can find a better relation with lower or higher ends EASILY possible due to the... very unclear statements of the effects.
This was a task that simply is nearly impossible to succeed at... but I found two figures that I could make work with some minor... wiggle room.
The first number I chose to use was 25 Isotons, given to me from VOY: Living Witness. It is said 25 Isotons would destroy a city in seconds. I'm going to presume total maximum destruction possible of everything in the city, every building, man woman, dog, tree, and outlying areas (wiping the city from the map)... and I'm going to give it a yield of 1 full gigaton.
Then I ran into the statement that 53 Isotons would destroy a small planet. (VOY: The Omega Directive)
This is a problem since doubling even one gigaton to 2 does not a planet destroy, even a small one... Using pluto as my example, I got 6x10^27 Joules or around 1.45 EXA tons to destroy…
That's a big gap... A really big gap... Thankfully for both examples I found a system to get close to the numbers required for the statements associated with them to make sense. The relation between Isotons isn't measured in any current normal methods. it's measured in eights.
Here is the outline of the relation.
1-8 = tons
9-16 = kilotons
17-24 = megatons
25-32 = gigatons
33-40 = teratons
41-48 = petatons
49-56 = exatons
This isn't perfect, and it certainly doesn't account for some of the stranger statements of 4 million isotons... but it does allow for slightly more consistent statements. OF NOTE: Since I'm already presuming a scale measured in eighths... for all we know our 'quantifications' are not valid here... 25 Isotons could just as easily refer to 731 megatons and 53 Isotons could just as easily be 1.45 EXAtons exact... we just don't know. But at least we now have a ballpark.
Again, this is about as general as I could make it with a minimal amount of effort put in. I'm sure someone here with better math than me can find a better relation with lower or higher ends EASILY possible due to the... very unclear statements of the effects.