Phew, this is going to be hard….

EDIT:

Redid the crater volume to a spherical cap. Oh well, still worth it.

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First I’ll scale Acnologia’s Wings:

Average Human arm = 0.7 meters(source)(?)

Freed’s Arm = 55 px

Ratio = 0.0127272727272727 m/px

Acno’s Eye = 34 px = 0.43272 meters

Acno’s Eye = 0.43272 meters

Acno’s Eye = 19 px

Ratio = 0.0227747368421053 m/px

Acno’s Mouth = 68 px = 1.54868 meters

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Acno’s Mouth = 1.54868 meters

Acno’s Mouth = 25 px

Ratio = 0.0619472 m/px

Acno’s Wing = 194 px = 12.017 meters

Acno’s Wing = 12.017 meters

Acno’s Wing = 112 px

Ratio = 0.1072946428571429 m/px

Beam Diameter = 120 px = 12.87535 meters

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Acno’s Beam = 12.87535 meters

Acno’s Beam = 2 px

Ratio = 6.437675 m/px

Explosion Diameter = 750 px = 4828.25625 meters

Tenrou Diameter = 545 px = 3508.532875 meters

Explosion Height = 590 px = 3798.22825 meters

First, we’ll calculate the volume of destroyed rock.

Explosion Diameter = 4828.25625 meters

Explosion Diameter = 270 px

Ratio = 17.8824305555555556 m/px

Explosion Radius = 4828.25625/2 = 2414.128125 meters

Going to assume that the crater height is as big as the explosion height(should be a fair assumption, and if not I’d like to hear opinions on what it should be)

Crater Height = Explosion Height = 3798.22825 meters

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Spherical Cap Calculator:

https://www.calculator.net/volume-calculator.html

V = 63462094623.829 m^3

Violent Fragmentation(Low-End):

E = 63462094623.829 m^3 * 1000000 * 69 j/cc = 4378884529044201000 joules =1.04 gigatons(Small Island level)

Pulverisation(High-End):

E = 39289662293.682 m^3 * 1000000 * 214.35 j/cc = 8421739112650736700 joules =3.25 gigatons(Small Island level)

Now to calculate the vaporized water. First we’ll find the volume:

Explosion Diameter = 4828.25625 meters

Explosion Diameter = 418 px

Ratio = 11.5508522727272727 m/px

Water Height = 45 px= 519.7883522727272715 meters

Cylinder Volume:

V = 9516933778.9332 m^3

However, we should keep in mind that the island itself was in the place of this water, and since Acno didn’t destroy the island due to Fairy Sphere, we’ll have to take out the volume of the island.

Tenrou Diameter = 3508.532875 meters(from earlier), so:

Vtenrou = 5025364010.1113 m^3

V’ = V – Vtenrou = 4491569768.8219 m^3

Density of water = 1000 kg/m^3

Mass = V’ * D = 4491569768821.9 kg

Specific Heat of water C = 4186 J/kg

Average Ocean temperature is 15 degrees, so:

100-15 = 85 degrees

E1 = 85 * 4186 * 4491569768821.9 = 1598145439444520239 joules

Heat of vaporization is 2257000 J/kg

E2 = 4491569768821.9 kg * 2257000 J/kg = 10137472968231028300 joules

E = E1 + E2 = 11735618407675548539 joules =2.804 gigatons(Small Island level)

<=>

Low-End:

1.04 +2.804 = 3.84 gigatons(Small Island level+)

High-End:

3.25 +2.804 = 6.05 gigatons(Island level)

Phew, took me a while. I'm open to critizism. Still not sure whether violent fragmentation or pulverisation should be used

Well, at least it's better than the NF 80 megatons