How much can you compress hydrogen by cooling it?

[Vaebn]

I've have had an interesting question lately and knowing that there are people whose geeky is of significant magnitude here, I'd like to toss it here as well.

How much hydrogen can you pack in an area (ie, a cubic cm, or cubic m), at, say, 1 bar pressure, whilst simultaneously cooling it, all the way to absolute zero?

As I understand it, the hydrogen would first become liquid hydrogen.

Then it would become liquid metallic hydrogen, which is a state similar to the one inside Jupiter, only this time, due to "cooling" rather than pressure.

And finally, it would become a Bose-Einstein condensate. At which point I am confused.

Do Bose-Einstein condensates have volume, or is their volume, in fact, that of a single atom, no matter how many of those you pack in?

And how many of those can you pack together (still cooling vigorously), without them "fusing".

All the way until gravity becomes important? A hard limit before that, having to do with ZPE or something?

P.S. I know that technically cooling "to" absolute zero, is impossible, so the question is about anything (and the amounts of, in a cubic cm/m, 1 bar) taking place riiiiiight before it.

Edited February 13, 2014 by Vaebn

[Brotoro]

When you get it down to around 20K it will liquify and it's density would be 0.07 grams per cc.

At about 14K it will solidify and have a density of 0.086 grams per cc.

You aren't going to make metallic hydrogen unless you put it under extremely high pressure.

[Vaebn]

Hm. Solid State you say...

I would also be interested then, in the variant of the initial question, regarding cooling it, And compressing it. (but not fusing it)

Edited February 13, 2014 by Vaebn

[Z-Man]

Hydrogen can build up on the surface of white dwarfs without fusing right away (and when it does fuse, it is due to the high temperature, not the pressure). Compress it much further and you force the electrons into the protons and create neutrons, which happens at any temperature. So that's the theoretical limit: The density of a white dwarf, which is in the metric tons per cubic centimeter range.

Of course, there is no practical way apply the required pressures in a laboratory.

[Soda Popinski]

[Vaebn]

^^

So, would solid Hydrogen become a bose - einstain quantum thingy near absolute zero too? Would it still occupy the same volume even so?

[Brotoro]

The papers I found online about making Bose-Einstein condensates of hydrogen atoms listed particle densities that they were able to achieve that looked less dense than what you get in solid hydrogen.