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Microcoil

Microcoil 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 Microcoil rather than just read about it. In short: A microcoil is a tiny electrical conductor such as a wire in the shape of a spiral or helix which could be a solenoid or a planar structure. Uses NMR spectroscopy and micro-MRI One field where these are found is nuclear magnetic resonance (NMR) spectroscopy, where it identifies radio frequency (RF) coils that are smaller than 1 mm.

Microcoil — main illustration
Microcoil — illustration

Key takeaways

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

Reference excerpt

A microcoil is a tiny electrical conductor such as a wire in the shape of a spiral or helix which could be a solenoid or a planar structure.

Uses

NMR spectroscopy and micro-MRI One field where these are found is nuclear magnetic resonance (NMR) spectroscopy, where it identifies radio frequency (RF) coils that are smaller than 1 mm. The detection limits of micro-MRI or MRM can be pushed further by taking advantage of microsystem fabrication techniques. In general, the RF receiver coil should closely conform to the sample to ensure good detection sensitivity. A properly designed NMR probe will maximize both the observe factor, which is the ratio of the sample volume being observed by the RF coil to the total sample volume required for analysis, and the filling factor, the ratio of the sample volume being observed by the RF coil to the coil volume. The miniaturization of NMR probes thus involves two advantages:

Increased sensitivity without which the analysis of such low concentration compounds would be impossible, and Increase of filling factor by matching the probe to the sample volume. Still, the extraction of the NMR spectra of samples having smaller and smaller volumes is a real challenge. Either these reductions of volume are dictated by the difficulties of production of sufficiently large samples or by the necessities of miniaturization of the analysing system, in both cases a careful design of the radiofrequency coils, ensuring an optimum reception of the NMR signal, are required.

Spin control In the field of quantum sciences, microcoils play an increasing role for fast spin control in nanoscale devices as multi-qubit spin registers and quantum memories or for the actuation of single nuclear spins e.g. around a Nitrogen-vacancy center. In contrast to traditional NMR, microcoils are used here as an actuator only. The nuclear spin signal is detected via the optical readout of a single electron spin.

Telemetry systems Microcoils have found usefulness in telemetry systems, where planar microcoils are used to supply energy to miniaturized implants.

Microcoil types Different types of microcoils with different fabrication techniques are employed for NMR:

Solenoid microcoils Is the classical geometry to create a magnetic field with an electric current. Even for a limited number of windings this geometry provides a reasonable homogeneous B1 field and a good filling factor is possible by winding the coil directly onto a holder containing the sample. Miniaturization to a scale of several hundred micrometers (μm) is not very difficult although the wire diameter (typically 20 to 50 μm) becomes very small and a freestanding coil is a very delicate object. A reduction to below 100 μm diameter is possible but the machining and handling of such coils will be rather tedious. For this reason other microsystem fabrication technology such as bulk micromachining, LIGA and micro-injection molding should be applied. For solenoid coils adding more turns to the coil will enhance the B1/i ratio and thus both the inductance and the signal response. At the same time the coil resistance will increase linearly, so the improvement in sensitivity will be proportional to the square root of the number of turns (n). At the same time we will have a larger ohmic heating at the center of the coil and an enhanced danger for arcing, so the optimum is generally found for only a limited number of turns. Besides RF performance, static field distortions due to susceptibility effects are an important factor in the design of microcoil probeheads.

Planar microcoils Is the most common geometry used, based on a spiral design with the center winding contacted to the outside using a connection to another layer which is electrically isolated with a thin oxide layer. In this configuration the axis of the RF coil will be oriented perpendicular to the external static field B0.

Saddle microcoils The saddle coil shows the most complex geometry of these three coil types. The B1 field is generated primarily by the four vertical wire segments. Because of this coil geometry, the B1 field of a saddle coil is more homogeneous in z direction than that of a planar coil. The saddle coil can be formed from wire, but it is also often etched from thin copper foil, which is then adhered to glass or PTFE tubing. The latter procedure leads to a high geometric precision, resulting in better B1 homogeneity. The saddle coil is easily accessible and provides a good 'filling factor' of the usable area in the magnet bore. For these reasons it is widely used in NMR microscopy. However, these advantages are achieved at the price of decreased sensitivity. Compared to a saddle coil, the sensitivity performance of a solenoidal coil of the same dimensions is approximately three times better.

Self-assembled microcoils Self-assembled rolled-up micro coils with diameters down to 50 μm have been developed for NMR microscopy.

References

External links Media related to Microcoils at Wikimedia Commons

Illustrations

Microcoil: Microcoils produced by electroplating copper on Spirulina bacteria.[2]
Microcoils produced by electroplating copper on Spirulina bacteria.[2]

Worked examples

Example 1 — a first encounter with Microcoil

Start with the simplest possible case. Write down what Microcoil 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 Microcoil 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 Microcoil 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 Microcoil

In research
Microcoil 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 Microcoil 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
Microcoil is common in secondary-school and first-year university syllabi. It links to neighbouring topics Electrical components, Nuclear magnetic resonance, so understanding it makes those chapters shorter.
In everyday life
Look for Microcoil 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 Microcoil in 20 minutes

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

Frequently asked questions

What is Microcoil in simple terms?

A microcoil is a tiny electrical conductor such as a wire in the shape of a spiral or helix which could be a solenoid or a planar structure. Uses NMR spectroscopy and micro-MRI One field where these are found is nuclear magnetic resonance (NMR) spectroscopy, where it identifies radio frequency (RF)…

Why does Microcoil 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 Microcoil?

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 Microcoil.

Tags

  • Electrical components
  • Nuclear magnetic resonance

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