How is hydrogen more stable in diatomic form?

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The discussion centers on the stability of hydrogen when an additional electron is added to its 1s sublevel, leading to the formation of molecular hydrogen (H2). It is noted that while atomic hydrogen requires 13.6 eV to break apart, H2 only requires 4.6 eV, indicating that H2 is more stable. The stability of a covalent bond is attributed to quantum mechanical effects, particularly symmetry and the balancing of paired electrons in sub-shells. The concept of the octet rule is mentioned, but for hydrogen and helium, the "octet" consists of just two electrons. The geometry of electron distribution plays a crucial role in stability; electrons positioned on opposite sides of a proton enhance stability. The discussion emphasizes that in H2, electrons can concertedly hop between atoms, allowing their wavefunctions to spread and increasing electrostatic attraction, which contributes to the overall stability of the molecule.
vanmaiden
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Hello Physicsforums,

I'm curious to know what stability hydrogen receives through adding one more electron to its 1s sublevel level. The whole sublevel is at the same energy state, so why must it fill that one more space to attain stability? What does a full 1s orbital do to make it stable? I can see why it's inert, but we stay it's more stable.

Thanks,

Vanmaiden
 
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Is molecular hydrogen said to be more stable than atomic hydrogen? Who by? And in what context?

You need 13.6eV to break apart a H atom, but only 4.6eV to break apart an H2 molecule.

The stability of a covalent bond is a QM effect from symmetry.
Paired electrons in sub-shells sort-of "balance out the load" on an atom.
But you should be aware that molecular energy levels are not the same as the atomic ones.

See also:
http://www.eng.fsu.edu/~dommelen/quantum/style_a/hmol.html
http://hyperphysics.phy-astr.gsu.edu/hbase/molecule/hmol.html
 
The reasoning here is the same as for all elements: the octet rule.
The only difference is that hydrogen and helium are so simple that their "octet" is only two atoms.

This stuff is really all about geometry. Everything in the universe is in a 3d matrix (well, 4d really, but we're being simplistic here). If there are electrons on opposite sides of a proton then everything is much more stable. Imagine... imagine a tight rope walker. When he's walking along the rope holding nothing, he's able to balance and move forward slowly. Give him a pole and he has some weight balancing him out horizontally, and he can move along a bit more steadily. Make him carry a weight in one hand though, and
he's less stable.
(Keep in mind that this is a completely different set of rules [kinetics], but I hope that it helps to illustrate the point a little.)
 
Though electrons in the ground state of hydrogen are symmetrically distributed ... but it's balanced here to pair spin-up and spin-down.
 
vanmaiden said:
Hello Physicsforums,

I'm curious to know what stability hydrogen receives through adding one more electron to its 1s sublevel level. The whole sublevel is at the same energy state, so why must it fill that one more space to attain stability? What does a full 1s orbital do to make it stable? I can see why it's inert, but we stay it's more stable.

Thanks,

Vanmaiden

Yes, a H2 molecule is 4.6 eV more stable than 2 hydrogen atoms. However, the electrons are only seldomly both in the 1s orbital of the same atom. So it is quite misleading to speak of "filling up" the sublevel. Rather in H2 there is the possibility of concerted hopping of the electrons between the two atoms. The atomic wavefunctions are thus allowed to spread out in direction of the bond and at the same time reducing their extension in the direction perpendicular to the bond. This leads to an increased electrostatic attraction responsible for bonding.
 
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