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Quartz crystal microbalance

Quartz crystal microbalance 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 Quartz crystal microbalance rather than just read about it. In short: A quartz crystal microbalance (QCM), also known as quartz microbalance (QMB) and sometimes also as quartz crystal nanobalance (QCN), measures a mass variation per unit area by measuring the change in frequency of a quartz crystal resonator. The resonance is disturbed by the addition or removal of a small mass due to oxide growth/decay or film deposition at the surface of the acoustic resonator.

Quartz crystal microbalance — main illustration
Quartz crystal microbalance — illustration

Key takeaways

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

Reference excerpt

A quartz crystal microbalance (QCM), also known as quartz microbalance (QMB) and sometimes also as quartz crystal nanobalance (QCN), measures a mass variation per unit area by measuring the change in frequency of a quartz crystal resonator. The resonance is disturbed by the addition or removal of a small mass due to oxide growth/decay or film deposition at the surface of the acoustic resonator. The QCM can be used under vacuum, in gas phase ("gas sensor", first use described by King) and more recently in liquid environments. It is useful for monitoring the rate of deposition in thin-film deposition systems under vacuum. In liquid, it is highly effective at determining the affinity of molecules (proteins, in particular) to surfaces functionalized with recognition sites. Larger entities such as viruses or polymers are investigated as well. QCM has also been used to investigate interactions between biomolecules. Frequency measurements are easily made to high precision (discussed below); hence, it is easy to measure mass densities down to a level of below 1 μg/cm2. In addition to measuring the frequency, the dissipation factor (equivalent to the resonance bandwidth) is often measured to help analysis. The dissipation factor is the inverse quality factor of the resonance, Q−1 = w/fr (see below); it quantifies the damping in the system and is related to the sample's viscoelastic properties.

General Quartz is one member of a family of crystals that experience the piezoelectric effect. The piezoelectric effect has found applications in high power sources, sensors, actuators, frequency standards, motors, etc., and the relationship between applied voltage and mechanical deformation is well known; this allows probing an acoustic resonance by electrical means. Applying alternating current to the quartz crystal will induce oscillations. With an alternating current between the electrodes of a properly cut crystal, a standing shear wave is generated. The Q factor, which is the ratio of frequency and bandwidth, can be as high as 106. Such a narrow resonance leads to highly stable oscillators and a high accuracy in the determination of the resonance frequency. The QCM exploits this ease and precision for sensing. Common equipment allows resolution down to 1 Hz on crystals with a fundamental resonant frequency in the 4 – 6 MHz range. A typical setup for the QCM contains water cooling tubes, the retaining unit, frequency sensing equipment through a microdot feed-through, an oscillation source, and a measurement and recording device. The frequency of oscillation of the quartz crystal is partially dependent on the thickness of the crystal. During normal operation, all the other influencing variables remain constant; thus a change in thickness correlates directly to a change in frequency. As mass is deposited on the surface of the crystal, the thickness increases; consequently the frequency of oscillation decreases from the initial value. With some simplifying assumptions, this frequency change can be quantified and correlated precisely to the mass change using the Sauerbrey equation. Other techniques for measuring the properties of thin films include ellipsometry, surface plasmon resonance (SPR) spectroscopy, Multi-Parametric Surface Plasmon Resonance and dual polarisation interferometry.

Gravimetric and non-gravimetric QCM The classical sensing application of quartz crystal resonators is microgravimetry. Many commercial instruments, some of which are called thickness monitors, are available. These devices exploit the Sauerbrey relation. For thin films, the resonance frequency is usually inversely proportional to the total thickness of the plate. The latter increases when a film is deposited onto the crystal surface. Monolayer sensitivity is easily reached. However, when the film thickness increases, viscoelastic effects come into play. In the late 1980s, it was recognized that the QCM can also be operated in liquids, if proper measures are taken to overcome the consequences of the large damping. Again, viscoelastic effects contribute strongly to the resonance properties. Today, microweighing is one of several uses of the QCM. Measurements of viscosity and more general, viscoelastic properties, are of much importance as well. The "non-gravimetric" QCM is by no means an alternative to the conventional QCM. Many researchers, who use quartz resonators for purposes other than gravimetry, have continued to call the quartz crystal resonator "QCM". Actually, the term "balance" makes sense even for non-gravimetric applications if it is understood in the sense of a force balance. At resonance, the force exerted upon the crystal by the sample is balanced by a force originating from the shear gradient inside the crystal. This is the essence of the small-load approximation. The QCM measures inertial mass, and therefore by operating at a high resonant frequency it can be made very sensitive to small changes in that inertia as material is added to (or removed from) its surface. The sensitivity of gravitational mass measurements is, by comparison, limited by the Earth's gravitational field strength. We normally think of a balance as a way of measuring (or comparing) gravitational mass, as measured by the force that the earth exerts on the body being weighed. A few experiments have demonstrated a direct link between QCM and the SI system by comparing traceable (gravitational mass) weighings with QCM measurements. Crystalline α–quartz is by far the most important material for thickness-shear resonators. Langasite (La3Ga5SiO14, "LGS") and gallium-orthophosphate (GaPO4) are investigated as alternatives to quartz, mainly (but not only) for use at high temperatures. Such devices are also called "QCM", even though they are not made out of quartz (and may or may not be used for gravimetry).

… excerpt ends here. Continue reading the full article.

Illustrations

Quartz crystal microbalance: Photograph of typical quartz crystal resonators as used for QCM, metallised with gold electrodes (left: front electrode, right: back electrode) by vapor deposition.
Photograph of typical quartz crystal resonators as used for QCM, metallised with gold electrodes (left: front electrode, right: back electrode) by vapor deposition.
Quartz crystal microbalance: Impedance analysis is based on electrical conductance curve. The central parameters of measurement are the resonance frequency fres and the bandwidth w.
Impedance analysis is based on electrical conductance curve. The central parameters of measurement are the resonance frequency fres and the bandwidth w.
Quartz crystal microbalance: Ring-down yields the equivalent information in time-domain measurements. The dissipation factor D is equal to Q−1.
Ring-down yields the equivalent information in time-domain measurements. The dissipation factor D is equal to Q−1.
Quartz crystal microbalance: Butterworth-van-Dyke (BvD) equivalent circuit. C0 is the electrical (parallel) capacitance across the electrodes. L1 is the motional inductance (proportional to the mass). C1 is the motional capacitance (inversely proportional to the stiffness) and R1 is the motional resistance (quantifying dissipative losses). A is the effective area of the crystal and ZL is the load impedance.
Butterworth-van-Dyke (BvD) equivalent circuit. C0 is the electrical (parallel) capacitance across the electrodes. L1 is the motional inductance (proportional to the mass). C1 is the motional capacitance (inversely proportional to the stiffness) and R1 is the motional resistance (quantifying dissipative losses). A is the effective area of the crystal and ZL is the load impedance.

Worked examples

Example 1 — a first encounter with Quartz crystal microbalance

Start with the simplest possible case. Write down what Quartz crystal microbalance 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 Quartz crystal microbalance 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 Quartz crystal microbalance 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 Quartz crystal microbalance

In research
Quartz crystal microbalance 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 Quartz crystal microbalance 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
Quartz crystal microbalance is common in secondary-school and first-year university syllabi. It links to neighbouring topics Weighing instruments, so understanding it makes those chapters shorter.
In everyday life
Look for Quartz crystal microbalance 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 Quartz crystal microbalance in 20 minutes

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

Frequently asked questions

What is Quartz crystal microbalance in simple terms?

A quartz crystal microbalance (QCM), also known as quartz microbalance (QMB) and sometimes also as quartz crystal nanobalance (QCN), measures a mass variation per unit area by measuring the change in frequency of a quartz crystal resonator. The resonance is disturbed by the addition or removal of a…

Why does Quartz crystal microbalance 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 Quartz crystal microbalance?

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 Quartz crystal microbalance.

Tags

  • Weighing instruments

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