<p>At the risk of self-plagiarism: (<a href="https://physics.stackexchange.com/a/532568/43351">https://physics.stackexchange.com/a/532568/43351</a> with a bit added).</p>
<p>Molecular chemistry in the early universe requires species with bound electrons. Helium hydride is the first molecule to form because neutral helium atoms, formed about 120,000 years after the big bang, could combine with plentiful protons; but it was another 260,000 years until significant numbers of neutral hydrogen atoms formed, and it is only once these are present that there is a route to forming H<span class="math-container">$_2$</span>.</p>
<p>Details:</p>
<p>Helium has a much higher ionisation energy than hydrogen and therefore starts to recombine at higher temperatures (about 7000 K at redshifts of <span class="math-container">$\sim 2500$</span>, compared with 3000 K and a redshift of 1100 for hydrogen). Thus in the primordial gas of hydrogen and helium, it is the helium that recombines first. There is therefore a period of time in the early universe, <span class="math-container">$120,000 &lt; \tau &lt; 380,000$</span> years, in which almost all the hydrogen is ionised, but most of the helium is in the form of atoms.</p>
<p>The two react to form helium hydride
<span class="math-container">$${\rm He} + {\rm H}^{+} \rightarrow {\rm He H^+}$$</span></p>
<p>As you might expect, the concentration of this molecule is low, because the temperatures were still high enough to easily radiatively disassociate it - about 1 part in <span class="math-container">$10^{21}$</span> at <span class="math-container">$z \sim 2000$</span> (<a href="https://ui.adsabs.harvard.edu/abs/1998ApJ...509....1S/abstract" rel="noreferrer">Stancil et al. 1998</a>; <a href="https://arxiv.org/abs/1211.3319" rel="noreferrer">Galli &amp; Palla 2013</a>).</p>
<p>This is the first molecule to be produced <em>with any important level of abundance</em>. Note, this appears to be a somewhat arbitrary definition, since it is also claimed (e.g. <a href="https://ui.adsabs.harvard.edu/abs/2002JPhB...35R..57L/abstract" rel="noreferrer">Lepp et al. 2002</a>), that He<span class="math-container">$_{2}^{+}$</span> formed the first molecular bond, via He<span class="math-container">$^+ +$</span> He, but was too weakly bound to survive in any concentration (the concentration peaks about 100 times lower than HeH<span class="math-container">$^+$</span> according to <a href="https://arxiv.org/abs/1211.3319" rel="noreferrer">Galli &amp; Palla 2013</a>).</p>
<p>It is also possible to form small quantities of <span class="math-container">$H_2$</span> at <span class="math-container">$z&gt; 2000$</span> via the reaction of a hydrogen atom with another in an excited state: H + H<span class="math-container">$^* \rightarrow$</span> H<span class="math-container">$_2$</span>; but of course, although the hydrogen molecule is much more strongly bound than HeH<span class="math-container">$+$</span> (the dissociation energy of <span class="math-container">$H_2$</span> is 4.5 eV, versus about 1.8 eV for HeH<span class="math-container">$^+$</span>), there is very little atomic hydrogen present and this reaction requires not one, but two hydrogen atoms to get together. It is not until H atoms recombine in quantity some 260,000 years later that hydrogen molecules are formed in various gas phase processes and H<span class="math-container">$_2$</span> becomes the dominant molecular species.</p>
<p>The dihydrogen cation, H<span class="math-container">$_2^{+}$</span> cannot form directly before either helium hydride or atomic hydrogen are formed as precursors. e.g.
<span class="math-container">$$ {\rm HeH}^{+} + {\rm H} \rightarrow {\rm H}_2^{+} + {\rm He}$$</span>
<span class="math-container">$$  {\rm H} + {\rm H}^+ \rightarrow {\rm H}_2^{+}$$</span>
and thus H<span class="math-container">$_2^{+}$</span> forms after HeH<span class="math-container">$^+$</span>.</p>

CC BY-SA 4.0
2020-10-13T15:21:24.420Z
2020-10-13T15:36:55.563Z
2020-10-13T15:36:55.563Z
ProfRob
<p>The abstract of the new Nature paper <a href="https://www.nature.com/articles/s41586-019-1090-x" rel="nofollow noreferrer">Astrophysical detection of the helium hydride ion HeH+</a> tell us that infrared spectroscopy from <a href="https://en.wikipedia.org/wiki/Stratospheric_Observatory_for_Infrared_Astronomy" rel="nofollow noreferrer">SOFIA</a> detected</p>
<blockquote>
<p>...rotational ground-state transition of HeH+ at a wavelength of 149.1 micrometres in the planetary nebula NGC 7027.</p>
</blockquote>
<p>It also says:</p>
<blockquote>
<p>In this metal-free and low-density environment, <strong>neutral helium atoms formed the Universe’s first molecular bond</strong> in the helium hydride ion HeH+ through radiative association with protons. As recombination progressed, the destruction of HeH+ created a path to the formation of molecular hydrogen.</p>
</blockquote>
<p><strong>Question:</strong> Why was helium hydride (HeH+) the universe's first molecule? Why was it the <a href="https://en.wikipedia.org/wiki/Helium_hydride_ion" rel="nofollow noreferrer">hydrogen helium cation</a> rather than the <a href="https://en.wikipedia.org/wiki/Dihydrogen_cation" rel="nofollow noreferrer">dihydrogen cation</a>?</p>

CC BY-SA 4.0
2019-04-18T02:15:02.427Z
My guess is that the large ionization potential of He caused He+ to grab electrons while it was still too hot for H+ to do so, but H already outnumbered He by 12 to 1 at that time, so the neutral He was more likely to bump into an H+ than another He[+] (and HH[+] couldn't form until it was cool enough for some neutral H).
amI
CC BY-SA 4.0
2019-04-18T23:38:14.830Z
@amI that's a pretty convincing-sounding guess!
uhoh
CC BY-SA 4.0
2019-04-21T09:06:14.003Z
@aml -- That's pretty much exactly right, as I understand it.
Peter Erwin
CC BY-SA 4.0
2019-04-21T10:04:21.973Z
@ami Seems reasonable that He+ would be the first with a bound electron, but He+ + H+ would give $HeH^{2+}$ and I don't think that is actually bonded. Where does the second electron come from?
Steve Linton
CC BY-SA 4.0
2019-04-21T10:26:06.733Z
@SteveLinton -- It's "He + H+ -> HeH+", not "He+ + H+ -> HeH+". The idea is that first you get He+ (no molecules form), and a little later you get He (neutral), which can bond with H+. And then a little later the H+ starts recombining and the rules change.
Peter Erwin
CC BY-SA 4.0
2019-04-21T16:14:55.723Z
@SteveLinton- sorry, I should have explained the chain as He++ -> He+ -> He, while H+ (lone protons) remained mostly H+ at that temperature.  Only a neutral atom (or negative ion) can bond to a positive ion.
amI
CC BY-SA 4.0
2020-10-14T04:20:02.187Z
I didn't knew that [this "same" question was posted in physics.SE](https://physics.stackexchange.com/questions/473601/was-helium-hydride-really-the-first-molecule). There is also a [duplicate](https://physics.stackexchange.com/questions/530851/why-was-helium-hydride-ion-heh-not-hydrogen-h-2-the-first-molecule-forme?noredirect=1&lq=1). But IMO, this question is well suited here due to its involvement in astrochemistry.
Nilay Ghosh
CC BY-SA 4.0
2020-10-14T04:45:05.900Z
@NilayGhosh I didn't either, but this occasionally happens. I see that in RobJeffries's answer here the duplicate answer is now cited and quoted. Intentional cross-posts are strongly discouraged, but occasional near-identical questions separated in time still happen once in a while. The primary danger of cross-posts or similar/dual posts is answer fragmentation; a reader seeing one set of answers won't know that there are another set somewhere else that might contain additional helpful information.
uhoh
CC BY-SA 4.0
2020-10-14T04:46:50.330Z
@NilayGhosh Thanks to your links above readers here can now find both of those questions and the multiple answers under each. If you feel motivated, you could mention this question and the existence of it's several answers on the still-open question there. After about 3 months it becomes impossible to migrate from one site to the other, so all we can do is link and inform. *Thanks!*
uhoh
<astrochemistry><infrared><sofia>
Why was helium hydride (HeH+) the universe's first molecule?
uhoh
# Why was helium hydride (HeH+) the universe's first molecule?

(Asked by: username_0 on 2019-04-18)

The abstract of the new Nature paper [Astrophysical detection of the helium hydride ion HeH+](https://www.nature.com/articles/s41586-019-1090-x) tell us that infrared spectroscopy from [SOFIA](https://en.wikipedia.org/wiki/Stratospheric_Observatory_for_Infrared_Astronomy) detected

> ...rotational ground-state transition of HeH+ at a wavelength of 149.1 micrometres in the planetary nebula NGC 7027.

It also says:

> In this metal-free and low-density environment, **neutral helium atoms formed the Universe’s first molecular bond** in the helium hydride ion HeH+ through radiative association with protons. As recombination progressed, the destruction of HeH+ created a path to the formation of molecular hydrogen.

**Question:** Why was helium hydride (HeH+) the universe's first molecule? Why was it the [hydrogen helium cation](https://en.wikipedia.org/wiki/Helium_hydride_ion) rather than the [dihydrogen cation](https://en.wikipedia.org/wiki/Dihydrogen_cation)?

**Tags:** astrochemistry, infrared, sofia

> **Comments:**
> **username_1**: My guess is that the large ionization potential of He caused He+ to grab electrons while it was still too hot for H+ to do so, but H already outnumbered He by 12 to 1 at that time, so the neutral He was more likely to bump into an H+ than another He[+] (and HH[+] couldn't form until it was cool enough for some neutral H).  
> **username_0**: @username_1 that's a pretty convincing-sounding guess!  
> **username_2**: @aml -- That's pretty much exactly right, as I understand it.  
> **username_3**: @ami Seems reasonable that He+ would be the first with a bound electron, but He+ + H+ would give $HeH^{2+}$ and I don't think that is actually bonded. Where does the second electron come from?  
> **username_2**: @SteveLinton -- It's "He + H+ -> HeH+", not "He+ + H+ -> HeH+". The idea is that first you get He+ (no molecules form), and a little later you get He (neutral), which can bond with H+. And then a little later the H+ starts recombining and the rules change.  
> **username_1**: @SteveLinton- sorry, I should have explained the chain as He++ -> He+ -> He, while H+ (lone protons) remained mostly H+ at that temperature.  Only a neutral atom (or negative ion) can bond to a positive ion.  
> **username_4**: I didn't knew that [this "same" question was posted in physics.SE](https://physics.stackexchange.com/questions/473601/was-helium-hydride-really-the-first-molecule). There is also a [duplicate](https://physics.stackexchange.com/questions/530851/why-was-helium-hydride-ion-heh-not-hydrogen-h-2-the-first-molecule-forme?noredirect=1&lq=1). But IMO, this question is well suited here due to its involvement in astrochemistry.  
> **username_0**: @NilayGhosh I didn't either, but this occasionally happens. I see that in RobJeffries's answer here the duplicate answer is now cited and quoted. Intentional cross-posts are strongly discouraged, but occasional near-identical questions separated in time still happen once in a while. The primary danger of cross-posts or similar/dual posts is answer fragmentation; a reader seeing one set of answers won't know that there are another set somewhere else that might contain additional helpful information.  
> **username_0**: @NilayGhosh Thanks to your links above readers here can now find both of those questions and the multiple answers under each. If you feel motivated, you could mention this question and the existence of it's several answers on the still-open question there. After about 3 months it becomes impossible to migrate from one site to the other, so all we can do is link and inform. *Thanks!*  

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## 1 answers

### Answer by username_5 on 2020-10-13. Score: 9 | Accepted answer

At the risk of self-plagiarism: (<https://physics.stackexchange.com/a/532568/43351> with a bit added).

Molecular chemistry in the early universe requires species with bound electrons. Helium hydride is the first molecule to form because neutral helium atoms, formed about 120,000 years after the big bang, could combine with plentiful protons; but it was another 260,000 years until significant numbers of neutral hydrogen atoms formed, and it is only once these are present that there is a route to forming H$\_2$.

Details:

Helium has a much higher ionisation energy than hydrogen and therefore starts to recombine at higher temperatures (about 7000 K at redshifts of $\sim 2500$, compared with 3000 K and a redshift of 1100 for hydrogen). Thus in the primordial gas of hydrogen and helium, it is the helium that recombines first. There is therefore a period of time in the early universe, $120,000 < \tau < 380,000$ years, in which almost all the hydrogen is ionised, but most of the helium is in the form of atoms.

The two react to form helium hydride
$${\rm He} + {\rm H}^{+} \rightarrow {\rm He H^+}$$

As you might expect, the concentration of this molecule is low, because the temperatures were still high enough to easily radiatively disassociate it - about 1 part in $10^{21}$ at $z \sim 2000$ ([Stancil et al. 1998](https://ui.adsabs.harvard.edu/abs/1998ApJ...509....1S/abstract); [Galli & Palla 2013](https://arxiv.org/abs/1211.3319)).

This is the first molecule to be produced *with any important level of abundance*. Note, this appears to be a somewhat arbitrary definition, since it is also claimed (e.g. [Lepp et al. 2002](https://ui.adsabs.harvard.edu/abs/2002JPhB...35R..57L/abstract)), that He$\_{2}^{+}$ formed the first molecular bond, via He$^+ +$ He, but was too weakly bound to survive in any concentration (the concentration peaks about 100 times lower than HeH$^+$ according to [Galli & Palla 2013](https://arxiv.org/abs/1211.3319)).

It is also possible to form small quantities of $H\_2$ at $z> 2000$ via the reaction of a hydrogen atom with another in an excited state: H + H$^\* \rightarrow$ H$\_2$; but of course, although the hydrogen molecule is much more strongly bound than HeH$+$ (the dissociation energy of $H\_2$ is 4.5 eV, versus about 1.8 eV for HeH$^+$), there is very little atomic hydrogen present and this reaction requires not one, but two hydrogen atoms to get together. It is not until H atoms recombine in quantity some 260,000 years later that hydrogen molecules are formed in various gas phase processes and H$\_2$ becomes the dominant molecular species.

The dihydrogen cation, H$\_2^{+}$ cannot form directly before either helium hydride or atomic hydrogen are formed as precursors. e.g.
$$ {\rm HeH}^{+} + {\rm H} \rightarrow {\rm H}\_2^{+} + {\rm He}$$
$$ {\rm H} + {\rm H}^+ \rightarrow {\rm H}\_2^{+}$$
and thus H$\_2^{+}$ forms after HeH$^+$.


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