Also, the atmosphere contains almost no hydrogen (except a little bit in the form of water vapor).
The second reaction is really unlikely, so the helium-2 almost always decays back into hydrogens. That means that pure hydrogen fuses extremely slowly. That works out in, for example, the Sun, where tremendous heat and pressure is maintained for billions of years. It doesn't work so well in a bomb which can only maintain fusion-level temperatures and pressures for tiny fraction of a second.
Thus, fusion bombs always use deuterium or tritium. Practical bomb designs typically don't use those directly (hydrogen is a pain to work with), but rather use lithium turns into deuterium or tritium in the neutron-rich environment of a detonating bomb.
But what does make a big difference is the air around the bomb---a nuclear explosion in space is way different from one in atmosphere. X-rays from the nuclear reaction heat surrounding air to many millions of degrees [1] and that's what causes (most of) the fireball you see. In space, the only matter available to make a fireball is the weapon's structure, probably only a few hundred kg, and that dissipates and cools rapidly. Nuclear-armed air intercept missiles were built in the nineteen-fifties and sixties that depended for effectiveness on being in air to generate the necessary blast effects to kill a bomber with relatively inaccurate aiming, but in space, a nuclear explosion almost needs be a contact hit to do much mechanical damage...discounting nuclear radiation effects, of course.
[1] Fahrenheit, Celsius, Kelvin...it makes no difference.
https://history.nasa.gov/conghand/nuclear.htm
> Third, in the absence of the atmosphere, nuclear radiation will suffer no physical attenuation and the only degradation in intensity will arise from reduction with distance. As a result the range of significant dosages will be many times greater than is the case at sea level. With such weapons the lethal radii (from nuclear radiation) in space may be of the order of hundreds of miles.
Also:
Second, thermal radiation, as usually defined, also disappears.
There is no longer any air for the blast wave to heat and much
higher frequency radiation is emitted from the weapon itself.
So more of the energy of the bomb remains in the x-ray or gamma portion of the spectrum---penetrating radiation, hard to shield against---in addition to the longer effective range.Edit: now I'm puzzled why this is collecting downvotes. :-)
The black magic of a hydrogen bomb is that it focuses the explosive energy of a fission bomb to ignite a fusion explosion. Doing so requires a very specific configuration; any hydrogen on the outside of the bomb, regardless of its concentration, would not reach the appropriate temperature/pressure to fuse.
XKCD 10,000: https://xkcd.com/1053/
The fusion reaction requires an awful lot of energy to get going, so it basically uses a fission bomb as a detonator.
When the fusion fuel burns the resulting neutrons are used to fission the tamper of the secondary and it's this fission is the main energy source for most H-bomb designs.
Sometimes the "pusher" around the fusion fuel capsule is also made of fissile material which gets compressed, or imploded, just like a normal fission bomb core, but with much higher forces and so much greater efficiency and effectiveness.
Additionally, while Uranium-238 is not normally fissile it can be fissioned with high energy neutrons. The "problem" with U-238 is that the energy range of neutrons that induce fissions only partly overlaps with the natural energy range of neutrons produced by fission reactions. Meaning that on average a given neutron emitted by a U-238 fission will cause fewer than 1 additional fissions, so it can't self-sustain a neutron induced fission chain reaction (which, I guess, is a good thing, otherwise nuclear bombs would be nearly trivial to make). However, fusion reactions generate very high energy neutrons, essentially all of which can cause fission in U-238. For this reason many thermonuclear weapons have a natural or depleted Uranium casing. Fission in the casing typically doubles the yield of the weapon compared to the yield from the primary/secondary fission/fusion reactions.
All of this can be dialed to suit different desires for bomb production or yield. For example, the "Tsar Bomba" was a 100 megaton 3 stage thermonuclear warhead design, it was tested without a fissionable Uranium outer casing to avoid production of nearly 50 megatons worth of fission product fallout over the test site (which was in Russia), as a result it exploded at around 50 MT yield, almost all of which (97%) was from fusion reactions. On the other hand, you have a device like the W-88 which is an incredibly compact warhead carried on US SLBM submarines. It is a thermonuclear warhead but you could also look at it as a two stage fission-fission device with a heavily fusion boosted secondary, as most of the yield comes from fission in the secondary and the casing.
For comparison, the estimated pressure at the Earth's center [1] is around 360 gigaPascals, about 1/16,000 that of the W88 secondary compression.
[1] https://en.wikipedia.org/wiki/Inner_core
[2] https://en.wikipedia.org/wiki/Thermonuclear_weapon#Comparing...
edited to add W88 implosion pressure link
Not to mention there is no appreciable amount of hydrogen in the atmosphere anyway.