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Hydrogen ion cluster

Hydrogen ion cluster is a science 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 Hydrogen ion cluster rather than just read about it. In short: A hydrogen molecular ion cluster or hydrogen cluster ion is a positively charged cluster of hydrogen molecules. The hydrogen molecular ion (H+2) and trihydrogen ion (H+3) are well defined molecular species.

Key takeaways

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

Reference excerpt

A hydrogen molecular ion cluster or hydrogen cluster ion is a positively charged cluster of hydrogen molecules. The hydrogen molecular ion (H+2) and trihydrogen ion (H+3) are well defined molecular species. However hydrogen also forms singly charged clusters (H+n) with n up to 120.

Experiments Hydrogen ion clusters can be formed in liquid helium or with lesser cluster size in pure hydrogen. H+6 is far more common than higher even numbered clusters. H+6 is stable in solid hydrogen. The positive charge is balanced by a solvated electron. It is formed when ionizing radiation impinges on solid hydrogen, and so is formed in radioactive solid tritium. In natural hydrogen treated with radiation, the positive charge transfers to HD molecules, in preference to H2, with the ultimate most stable arrangement being HD(HD)+HD. H+6 can migrate through solid hydrogen by linking a hydrogen molecule at one end and losing it at the other: H2 + H+6 → H+6 + H2. This migration stops once an HD molecule is added resulting in a lower energy level. HD or D2 is added in preference over H2. Clampitt and Gowland found clusters with an odd number of hydrogen atoms H+3+2n and later showed that H+15 was relatively stable. H+3 formed the core of this cluster with six H2 molecules surrounding it. Hiroka studied the stability of the odd numbered clusters in gas up to H+21. Bae determined that H+15 was especially stable amongst the odd numbered clusters. Kirchner discovered even numbered atomic clusters in gas at lower concentrations than the odd numbered atom clusters. H+6 was twenty times less abundant than H+5. H+4, H+8 and H+10 were detected at lesser amounts than H+6. Kurosaki and Takayanagi showed that H+6 is much more stable than other even clusters and showed antiprismatic symmetry of order 4 (D2d molecular symmetry). This turnstile structured molecule was computationally found to be more energetically stable than a ring of five hydrogen atoms around a proton. Negative hydrogen clusters have not been found to exist. H−3 is theoretically unstable, but D−3 in theory is bound at 0.003 eV.

Decay H+6 in the free gas state decays by giving off H atoms and H2 molecules. Different energies of decay occur with levels averaging at 0.038 eV and peaking at 0.14 eV.

Formation Hydrogen molecular ion clusters can be formed through different kinds of ionizing radiation. High energy electrons capable of ionizing the material can perform this task. When hydrogen dissolved in liquid helium is irradiated with electrons their energy must be sufficient to ionize helium to produce significant hydrogen clusters. Irradiation of solid hydrogen by gamma rays or X-rays also produces H+6. Positive ion clusters are also formed when compressed hydrogen expands though a nozzle. Kirchner's theory for the formation of even numbered clusters was that neutral H3 molecules reacted with the H+3 ion (or other odd clusters) to make H+6.

Properties Solvation of H+6 in solid hydrogen had little effect on its spectrum.

Use SRI International studied solid ionic hydrogen fuel. They believed that a solid containing H+3 and H− ions could be manufactured. If it could be made it would have a higher energy than other rocket fuels with only 2% concentration of ions. However they could not contain the H− in a stable way, but determined that other negative ions would do as well. This theoretical impulse exceeds that of solid and liquid fuel rockets. SRI developed a cluster ion gun that could make positive and negative ion clusters at a current of 500 pA. Nuclear fusion using ion clusters can impact far more atoms than single ions in one hit. This concept is called cluster ion fusion (CIF). Lithium deuteride (LiD) is a potential starter material for generating the ions.

References

Worked examples

Example 1 — a first encounter with Hydrogen ion cluster

Start with the simplest possible case. Write down what Hydrogen ion cluster claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In science, 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 Hydrogen ion cluster 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 Hydrogen ion cluster 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 Hydrogen ion cluster

In research
Hydrogen ion cluster appears in science 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 Hydrogen ion cluster 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
Hydrogen ion cluster is common in secondary-school and first-year university syllabi. It links to neighbouring topics Cations, Hydrogen, so understanding it makes those chapters shorter.
In everyday life
Look for Hydrogen ion cluster 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 Hydrogen ion cluster in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Hydrogen ion cluster 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 Hydrogen ion cluster out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Hydrogen ion cluster in simple terms?

A hydrogen molecular ion cluster or hydrogen cluster ion is a positively charged cluster of hydrogen molecules. The hydrogen molecular ion (H+2) and trihydrogen ion (H+3) are well defined molecular species.

Why does Hydrogen ion cluster matter?

Because it connects several science 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 Hydrogen ion cluster?

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 Hydrogen ion cluster.

Tags

  • Cations
  • Hydrogen

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