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Amarr : Judgement : The ultimate expression of God's Divine wrath, this weapon projects a beam of the Lord's holy light, designed to put sinners in their proper place.

Caldari: Oblivion : Using a targeting and tracking control system more advanced than any other in existence, this weapon launches and controls a storm of missile fire capable of neutralizing almost any target.

Gallente : Aurora Omniae : By using reverse-engineered Sleeper technology and advances in focused magnetic fields, this weapon emits a beam of antimatter that is capable of obliterating nearly anything it touches.

Minmatar: Gjallarhorn : Righteous fury given form, this weapon system rains a firestorm of unmatched raw destruction upon its target.

Now add 'Air' (which Humans need to live) to each of the above and you are at least one step closer to the answer.

This is something I'd like to cover in Project Clockwork, which will be kicking off over the summer

:-S

Well, I can't say anything for the missile based ones, but Aurora Ominae...

Considering it's a beam of concentrated anti-matter held in place by advanced magnetic fields, as soon the the anti-matter got OUTSIDE that field (i.e., finding it's target), the Matter/anti-matter annihilation would be immense. To put it into context, it only takes a thimble-full of anti-matter to destroy a city.

Hmm. The biggest nuclear weapon ever built would be the Tsar Bomb (http://en.wikipedia.org/wiki/Tsar_Bomba). Now a bomb of that size can level a city like Paris (see map in the article), and would cause massive nuclear fallout.

However, fireing a solid, visible stream of antimatter like the Gallente doomsday does would require tons (maybe even kilo/megatons) of Antimatter. At that level you could probably physically blow up a rather sizeable chunk of a planet.

I'm beginning to think the Gallente doomsday might be the most destructive one after all...

I think you are correct.

57 MT Tsar Bomb
Approximately 30% more energy in the Tsar bomb than 1 kg of antimatter annihilating with 1 kg of matter, neglecting kinetic energy. If the Aurora Ominae accelerates the antimatter to near light-speed, like they do at CERN, the energy content can be arbitrarily big.

We can estimate the kinetic energy with the Capacitor use: 25 TJ, or half a Tsar Bomba. It doesn't really matter what's being launched - the thing being hit is at least being hit by half a Tsar Bomba. (Assuming no recoil and 100% efficiency)

Estimating the amount of antimatter is more difficult since the Aurora Ominae uses 50k x 0.15m^3 Oxygen Isotopes. There is no information given as to the mass, density or even number of isotopes being used, or what they're for. Where does this antimatter come from, and how is Oxygen-16 involved?

If we assume it's a case of time-reversing the Oxygen-16 into antimatter and launching it, we can attain a sensible upper bound by the lower bound of neutron star densities. This gives 0.8% moon masses worth of antimatter, more than enough to kill off an atmosphere at 10^20 times the yield of the Tsar Bomba. Of course, this density would make the sources of oxygen isotopes very dense, so this number is somewhat improbable - but possible, depending on the production and compression techniques used.

By comparison, by
http://en.wikipedia.org/wiki/Tsar_Bomba
only 1.5*10^5 Tsar Bombas would be needed to totally destroy life on the surface of the Earth, meaning we could reduce the density of the isotopes by a factor 10^15 and still do it.

Comparing this to the density of water gives us that as long as the oxygen isotope cells have approximately the same average mass density as water, we could destroy life on Earth.

Quite feasible.

My expectations - localized devastation, little impact 100km away, different and slightly more damaging effects (tsunamis, localized ocean boiling) if aimed at liquid.

I look at it this way.

A doomsday is enough to destroy a carrier, a ship that's around 2-3 kilometres on a side, and enough to put a big dent in a titan (10-15km long). To 'destroy' a carrier, all that is needed is to cause its structural integrity to fail to the extent that the ship's contents are vented into space.

I'll assume that the mostly tritanium construction of spaceships makes them a hundred times the strength of ground buildings. As shockwaves from explosions dissipate according to an inverse square law, this means that the damage taken by a ground structure 100-150km away should be comparable to the damage taken by a titan (strucutral integrity not threatened, but actual damage done), and at ~30km, akin to the damage a carrier suffers (structural holes of significant size, igniting fires, etc).

In other words - worse than an RL nuclear weapon but not by much.

Reschard V is the only known instance of a Doomsday Device being used against a habitable planet. The result was that the planet quickly ceased to be inhabitable and the atmospheric disruption was so severe that rescue attempts could not even be attempted for more than half a year.

Numbers:

U235 generates 82.07 TJ/kg <--converted from mol to kg

antimatter distruction generates 180 petajoules/kg