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Spin transition

Spin transition 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 Spin transition rather than just read about it. In short: The spin transition is an example of transition between two electronic states in molecular chemistry, which have nearly identical energy levels. The ability of an electron to transit from a stable to another stable (or metastable) electronic state in a reversible and detectable fashion, makes these molecular systems appealing in the field of molecular electronics.

Key takeaways

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

Reference excerpt

The spin transition is an example of transition between two electronic states in molecular chemistry, which have nearly identical energy levels. The ability of an electron to transit from a stable to another stable (or metastable) electronic state in a reversible and detectable fashion, makes these molecular systems appealing in the field of molecular electronics.

In octahedral surroundings When a transition metal ion of configuration d n {\displaystyle d^{n}} , n = 4 {\displaystyle n=4} to 7 {\displaystyle 7} , is in octahedral surroundings, its ground state may be low spin (LS) or high spin (HS), depending to a first approximation on the magnitude of the Δ {\displaystyle \Delta } energy gap between e g {\displaystyle e_{g}} and t 2 g {\displaystyle t_{2g}} metal orbitals relative to the mean spin pairing energy P {\displaystyle P} (see Crystal field theory). More precisely, for Δ >> P {\displaystyle \Delta >>P} , the ground state arises from the configuration where the d {\displaystyle d} electrons occupy first the t 2 g {\displaystyle t_{2g}} orbitals of lower energy, and if there are more than six electrons, the e g {\displaystyle e_{g}} orbitals of higher energy. The ground state is then LS. On the other hand, for Δ << P {\displaystyle \Delta <<P} , Hund's rule is obeyed. The HS ground state has got the same multiplicity as the free metal ion. If the values of P {\displaystyle P} and Δ {\displaystyle \Delta } are comparable, a LS↔HS transition may occur.

d n {\displaystyle d^{n}} configurations Between all the possible d n {\displaystyle d^{n}} configurations of the metal ion, d 5 {\displaystyle d^{5}} and d 6 {\displaystyle d^{6}} are by far the most important. The spin transition phenomenon, in fact, was first observed in 1930 for tris (dithiocarbamato) iron(III) compounds. On the other hand, the iron(II) spin transition complexes were the most extensively studied: among these two of them may be considered as archetypes of spin transition systems, namely Fe(NCS)2(bipy)2 and Fe(NCS)2(phen)2 (bipy = 2,2'-bipyridine and phen = 1,10-phenanthroline).

Iron(II) complexes We discuss the mechanism of the spin transition by focusing on the specific case of iron(II) complexes. At the molecular scale the spin transition corresponds to an interionic electron transfer with spin flip of the transferred electrons. For an iron(II) compound this transfer involves two electrons and the spin variations is Δ S = 2 {\displaystyle \Delta S=2} . The occupancy of the e g {\displaystyle e_{g}} orbitals is higher in the HS state than in the LS state and these orbitals are more antibonding than the t 2 g {\displaystyle t_{2g}} . It follows that the average metal-ligand bond length is longer in the HS state than in the LS state. This difference is in the range 1.4–2.4 pm for iron(II) compounds.

To induce a spin transition The most common way to induce a spin transition is to change the temperature of the system: the transition will be then characterized by a ρ H = f ( T ) {\displaystyle \rho _{H}=f(T)} , where ρ H {\displaystyle \rho _{H}} is the molar fraction of molecules in high-spin state. Several techniques are currently used to obtain such curves. The simplest method consists of measuring the temperature dependence of molar susceptibility. Any other technique that provides different responses according to whether the state is LS or HS may also be used to determine ρ H {\displaystyle \rho _{H}} . Among these techniques, Mössbauer spectroscopy has been particularly useful in the case of iron compounds, showing two well resolved quadrupole doublets. One of these is associated with LS molecules, the other with HS molecules: the high-spin molar fraction then may be deduced from the relative intensities of the doublets.

Types of transition Various types of transition have been observed. This may be abrupt, occurring within a few kelvins range, or smooth, occurring within a large temperature range. It could also be incomplete both at low temperature and at high temperature, even if the latter is more often observed. Moreover, the ρ H = f ( T ) {\displaystyle \rho _{H}=f(T)} curves may be strictly identical in the cooling or heating modes, or exhibit a hysteresis: in this case the system could assume two different electronic states in a certain range of temperature. Finally the transition may occur in two steps.

See also Spin crossover

References

Worked examples

Example 1 — a first encounter with Spin transition

Start with the simplest possible case. Write down what Spin transition 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 Spin transition 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 Spin transition 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 Spin transition

In research
Spin transition 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 Spin transition 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
Spin transition is common in secondary-school and first-year university syllabi. It links to neighbouring topics Quantum chemistry, so understanding it makes those chapters shorter.
In everyday life
Look for Spin transition 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 Spin transition in 20 minutes

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

Frequently asked questions

What is Spin transition in simple terms?

The spin transition is an example of transition between two electronic states in molecular chemistry, which have nearly identical energy levels. The ability of an electron to transit from a stable to another stable (or metastable) electronic state in a reversible and detectable fashion, makes these…

Why does Spin transition 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 Spin transition?

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 Spin transition.

Tags

  • Quantum chemistry

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