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Trihydrogen cation

Trihydrogen cation is a physics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Trihydrogen cation rather than just read about it. In short: The trihydrogen cation or protonated molecular hydrogen (IUPAC name: hydrogenonium ion) is a cation (positive ion) with formula H+3, consisting of three hydrogen nuclei (protons) sharing two electrons. The trihydrogen cation is one of the most abundant ions in the universe.

Trihydrogen cation — main illustration
Trihydrogen cation — illustration

Key takeaways

  • Trihydrogen cation belongs to physics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Trihydrogen cation to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Trihydrogen cation from memory before moving on to harder problems.

Reference excerpt

The trihydrogen cation or protonated molecular hydrogen (IUPAC name: hydrogenonium ion) is a cation (positive ion) with formula H+3, consisting of three hydrogen nuclei (protons) sharing two electrons. The trihydrogen cation is one of the most abundant ions in the universe. It is stable in the interstellar medium (ISM) due to the low temperature and low density of interstellar space. The role that H+3 plays in the gas-phase chemistry of the ISM is unparalleled by any other polyatomic ion. The trihydrogen cation is the simplest triatomic molecule, because its two electrons are the only valence electrons in the system. It is also the simplest example of a three-center two-electron bond system.

History H+3 was first discovered by J. J. Thomson in 1911. While using an early form of mass spectrometry to study the resultant species of plasma discharges, he discovered a large abundance of a polyatomic ion with a mass-to-charge ratio of 3. He stated that the only two possibilities were C4+ or H+3. Since the signal grew stronger in pure hydrogen gas, he correctly assigned the species as H+3. The formation pathway was discovered by Hogness & Lunn in 1925. They also used an early form of mass spectrometry to study hydrogen discharges. They found that as the pressure of hydrogen increased, the amount of H+3 increased linearly and the amount of H+2 decreased linearly. In addition, there was little H+ at any pressure. These data suggested the proton exchange formation pathway discussed below. In 1961, Martin et al. first suggested that H+3 may be present in interstellar space given the large amount of hydrogen in interstellar space and its reaction pathway was exothermic (~1.5 eV). This led to the suggestion of Watson and Herbst & Klemperer in 1973 that H+3 is responsible for the formation of many observed molecular ions. It was not until 1980 that the first spectrum of H+3 was discovered by Takeshi Oka, which was of the ν2 fundamental band (see #Spectroscopy) using a technique called frequency modulation detection. This started the search for extraterrestrial H+3. Emission lines were detected in the late 1980s and early 1990s in the ionospheres of Jupiter, Saturn, and Uranus. In the textbook by Bunker and Jensen Figure 1.1 reproduces part of the ν2 emission band from a region of auroral activity in the upper atmosphere of Jupiter,

and its Table 12.3 lists the transition wavenumbers of the lines in the band observed by Oka with their assignments. In 1996, H+3 was finally detected in the interstellar medium (ISM) by Geballe & Oka in two molecular interstellar clouds in the sightlines GL2136 and W33A. In 1998, H+3 was unexpectedly detected by McCall et al. in a diffuse interstellar cloud in the sightline Cygnus OB2#12. In 2006 Oka announced that H+3 was ubiquitous in interstellar medium, and that the Central Molecular Zone contained a million times the concentration of ISM generally.

Structure

The three hydrogen atoms in the molecule form an equilateral triangle, with a bond length of 0.90 Å on each side. The bonding among the atoms is a three-center two-electron bond, a delocalized resonance hybrid type of structure. The strength of the bond has been calculated to be around 4.5 eV (104 kcal/mol).

Isotopologues In theory, the cation has 10 isotopologues, resulting from the replacement of one or more protons by nuclei of the other hydrogen isotopes; namely, deuterium nuclei (deuterons, 2H+) or tritium nuclei (tritons, 3H+). Some of them have been detected in interstellar clouds. They differ in the atomic mass number A and the number of neutrons N:

H+3 = 1H+3 (A=3, N=0) (the common one). [DH2]+ = [2H1H2]+ (A=4, N=1) (deuterium dihydrogen cation). [D2H]+ = [2H21H]+ (A=5, N=2) (dideuterium hydrogen cation). D+3 = 2H+3 (A=6, N=3) (trideuterium cation). [TH2]+ = [3H1H2]+ (A=5, N=2) (tritium dihydrogen cation). [TDH]+ = [3H2H1H]+ (A=6, N=3) (tritium deuterium hydrogen cation). [TD2]+ = [3H2H2]+ (A=7, N=4) (tritium dideuterium cation). [T2H]+ = [3H21H]+ (A=7, N=4) (ditritium hydrogen cation). [T2D]+ = [3H22H]+ (A=8, N=5) (ditritium deuterium cation). T+3 = 3H+3 (A=9, N=6) (tritritium cation). The deuterium isotopologues have been implicated in the fractionation of deuterium in dense interstellar cloud cores.

Formation The main pathway for the production of H+3 is by the reaction of H+2 and H2.

H+2 + H2 → H+3 + H• The concentration of H+2 is what limits the rate of this reaction in nature - the only known natural source of it is via ionization of H2 by a cosmic ray in interstellar space:

H2 + cosmic ray → H+2 + e− + cosmic ray The cosmic ray has so much energy, it is almost unaffected by the relatively small energy transferred to the hydrogen when ionizing an H2 molecule. In interstellar clouds, cosmic rays leave behind a trail of H+2, and therefore H+3. In laboratories, H+3 is produced by the same mechanism in plasma discharge cells, with the discharge potential providing the energy to ionize the H2.

Destruction There are many destruction reactions for H+3. The dominant destruction pathway in dense interstellar clouds is by proton transfer with a neutral collision partner. The most likely candidate for a destructive collision partner is the second most abundant molecule in space, CO.

H+3 + CO → HCO+ + H2 The significant product of this reaction is HCO+, an important molecule for interstellar chemistry. Its strong dipole and high abundance make it easily detectable by radio astronomy. H+3 can also react with atomic oxygen to form OH+ and H2.

H+3 + O → OH+ + H2 OH+ then usually reacts with more H2 to create further hydrogenated molecules.

OH+ + H2 → OH+2 + H OH+2 + H2 → OH+3 + H At this point, the reaction between OH+3 and H2 is no longer exothermic in interstellar clouds. The most common destruction pathway for OH+3 is dissociative recombination, yielding four possible sets of products: H2O + H, OH + H2, OH + 2H, and O + H2 + H. While water is a possible product of this reaction, it is not a very efficient product. Different experiments have suggested that water is created anywhere from 5–33% of the time. Water formation on grains is still considered the primary source of water in the interstellar medium. The most common destruction pathway of H+3 in diffuse interstellar clouds is dissociative recombination. This reaction has multiple products. The major product is dissociation into three hydrogen atoms, which occurs roughly 75% of the time. The minor product is H2 and H, which occurs roughly 25% of the time.

… excerpt ends here. Continue reading the full article.

Illustrations

Trihydrogen cation illustration
Trihydrogen cation: The structure of H+3
The structure of H+3
Trihydrogen cation: The MO diagram of the trihydrogen cation.
The MO diagram of the trihydrogen cation.
Trihydrogen cation: A collision of ortho-H+3 and para-H2.
A collision of ortho-H+3 and para-H2.

Worked examples

Example 1 — a first encounter with Trihydrogen cation

Start with the simplest possible case. Write down what Trihydrogen cation claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In physics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Trihydrogen cation before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Trihydrogen cation ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Trihydrogen cation

In research
Trihydrogen cation appears in physics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Trihydrogen cation in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Trihydrogen cation is common in secondary-school and first-year university syllabi. It links to neighbouring topics Astrochemistry, Cations, Deuterium, so understanding it makes those chapters shorter.
In everyday life
Look for Trihydrogen cation outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Trihydrogen cation in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Trihydrogen cation means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Trihydrogen cation out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Trihydrogen cation in simple terms?

The trihydrogen cation or protonated molecular hydrogen (IUPAC name: hydrogenonium ion) is a cation (positive ion) with formula H+3, consisting of three hydrogen nuclei (protons) sharing two electrons. The trihydrogen cation is one of the most abundant ions in the universe.

Why does Trihydrogen cation matter?

Because it connects several physics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Trihydrogen cation?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Trihydrogen cation.

Tags

  • Astrochemistry
  • Cations
  • Deuterium
  • Homonuclear ions
  • Hydrogen physics
  • Three-membered rings
  • Tritium

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