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Modern thermonuclear weapons ("Hydrogen bombs") use multiple stages to create their destructive power. It is known that most modern weapons use a fission trigger (basically a small atomic bomb) to create the energy to initiate fusion in the second stage of the weapon (the fusion stage -- the exact mechanism is classified but it could have something to do with ablation of the secondary tamper and radiation implosion) and thereby create a very large and potentially much more destructive explosion.

The two atomic bombs used by the US against Japan were single-stage weapons, but the technology used between the two was different. The yields of those weapons were in the 11 - 15 kiloton range. Modern thermonuclear weapons have higher yields in the hundreds of kilotons.

Additionally, the weapons used against Japan were very large by today's standard (especially for the small yield they had). Modern 150 kiloton thermonuclear warheads can be as small as around three feet long by maybe a 18 inches wide (these are only estimates in size) including the reentry vehicle.

Besides the technical differences outlined above, there is another, more important difference: scale.

The atomic bombs used on Japan had a yield of less than 25kT. Modern thermonuclear weapons generally start at around 350kT, and many are in the 1MT range. Additionally, thermonuclear weapons have very little upper limit: it's actually possible to build a thermonuclear device with a yield over 100MT, though they're impractical as a weapon.

Relative destructive power of a nuclear weapon is measured in Equivalent Megatons (EMT), as yield does not linearly increase destruction. The 2/3rds root of a weapon's yield (as expressed in MT) gives the EMT. I.e. EMT = MT2/3 Thus, a 1MT weapon has 1EMT of damage. A 27MT weapon is 9 EMT. And a 0.25MT (250kt) weapon does 0.4 EMT.

What all this math means is that modern thermonuclear weapons of around 1MT are roughly 12 times as destructive as those dropped on Hiroshima and Nagasaki. They also produce radically higher secondary effects, such as massive firestorms in the surrounding forests, far higher dust injection into the stratosphere, and a whole host of environmental effects that were minimally felt from the low-yield WW2 weapons.

Put it another way: the WW2 bombs were like being run over by a car at 40mph. They could cause horrific damage, but highly localized, and, ultimately, rather survivable for a country and total population. Thermonuclear weapons are like having your neighborhood crashed into by a 747 at 500mph - vastly larger effects, including large-scale environmental effects far outside the immediate target area.

WW2-size atomic weapon threatens cities with destruction. An equivalent number of thermonuclear weapons threaten entire countries with destruction, including those far outside areas actually hit with the weapons.

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