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Hiding power

Hiding power 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 Hiding power rather than just read about it. In short: The hiding power is an ability of a paint to hide the surface that the paint was applied to. Numerically, it is defined as an area of surface coated by a volume of paint (spreading rate) at which the "complete hiding" of the underlying surface occurs.

Hiding power — main illustration
Hiding power — illustration

Key takeaways

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

Reference excerpt

The hiding power is an ability of a paint to hide the surface that the paint was applied to. Numerically, it is defined as an area of surface coated by a volume of paint (spreading rate) at which the "complete hiding" of the underlying surface occurs.

Causes Whenever light is shone onto a paint-coated surface, it is partially reflected and absorbed by the coating. Once the light reaches the underlying surface (substrate), it is again reflected and absorbed by the substrate, the process happens once more as the reflected light travels back through the paint layer. Depending on the paint properties, the information about the substrate might be visible (or not) in the light that emerges back from the coating. Hiding power is the property of the paint material that inhibits this visibility, manifesting in the opacity of a layer of paint. The term hiding is generic and applied to designate either hiding power or opacity. If the coating of paint is highly absorptive, the color of the coating will be dark and the hiding will be provided by the absorption. If the coating is highly reflective, the color of the surface will be light in color, but still will hide the substrate well, with the hiding being the result of light scattering. If the paint layer exhibits low absorption and scattering, light will travel through the layer and reveal the substrate (low opacity or poor hiding).

Measurements The hiding power is measured by applying the coating to the black-and-white (occasionally gray-and-white) panels and using either the photometric or visual observation. Since the eye cannot make the quantitative assessments, yet is very sensitive to the presence of contrast, the measurements are made by varying the paint film thickness, determined by the amount of area that is coated by a certain amount of paint (so called spreading rate, typically measured in square meters per liter). For the photometry the black and white substrates are calibrated to have, respectively, 1% and 80% reflectivity. The result, a contrast ratio, is expressed as a ratio of the intensity of light reflected from the darker area to the one from the lighter area (technically, the CIE Y or "luminance" is measured). The same substrates are used for the visual measurements. The hiding power is numerically defined as a spreading rate at which the contrast between the different areas of substrate becomes impossible to see or measure (complete hiding). In practice, an approximated end-point is used instead, for the photometric contrast ratio it is 98%.

Kubelka–Munk method

The Kubelka–Munk theory was developed in the 1930s and is still widely used in the 21st century. This simplified version of the radiative transfer theory reduces the paint properties to just two coefficients, one for scattering and one for absorption. Once these coefficients are known, the hiding power can be calculated. The longevity of the method is due to the ease of calculating these constants using the optical reflectometry (measurement of just one application of paint with incomplete hide on a black-and-white drawdown chart for each light wavelength is required). The model uses many assumptions, including the diffuse illumination, no reflections on the film/air and film/substrate interfaces, reasonable thickness of the paint layer.

Direct measurements Historically, the measurements were made directly using devices such as the Pfund cryptometer (introduced in 1930, earlier "all-black" model is from 1919) that places wet paint into a wedge-like arrangement of plates over the black-and-white background; the wedge is moved over the boundary until the boundary line becomes invisible. The direct measurements are still in demand where the real-world constraints of an uneven paint application are present, for example, the painting of buildings inevitably involves unevenness of the paint thickness due to the texture of a brush or a roller. The resulting perceived opacity is sometimes called an applied hiding power. ASTM D5150 standard calls for a use of a special panel with stripes of different shades of gray, each stripe has its own "rating". The paint is applied across the stripes, the largest rating of the completely hidden stripes is the hiding power for the paint. Paint producers use variations of this method.

Standards ISO 6504-1:2019 "Paints and varnishes — Determination of hiding power — Part 1" applies the Kubelka–Munk method to white and light-colored paints. ISO 6504-3:2019 "Paints and varnishes — Determination of hiding power — Part 3: Determination of hiding power of paints for masonry, concrete and interior use" ASTM D2805-11(2018) "Standard Test Method for Hiding Power of Paints by Reflectometry" (2018) DIN EN ISO 18314-2:2018-12 "Analytical Colorimetry - Part 2: Saunderson Correction, Solutions of the Kubelka–Munk Equation, Tinting Strength, Hiding Power" (2018) ASTM D5150-92(2017) Standard Test Method for Hiding Power of Architectural Paints Applied by Roller.

Role of pigments Almost all the hiding power of the paint is due to the pigment (binders are typically clear). In general, the hiding power of a pigment is closely related to scattering of light by its particles while suspended in the binder. The scattering on the interface between two substances is higher when there is a larger difference between their refractive indices. The refractive index of a binder is low, about 1.5, so the hiding power of a pigment usually increases with higher values of its refractive index.

White White pigments absorb the light poorly. However, if dispersed in a binder some of them, with low refractive indices (about 1.5), while appearing white in the air (with a refractive index of 1.0), exhibit almost no scattering in the paint and thus no hiding power - these are so called "extenders". The white pigments with higher refractive indices deliver opacity and thus are classified as hiding pigments.

References

… excerpt ends here. Continue reading the full article.

Illustrations

Hiding power: Two red pigments are used to coat two vertical panels, both black at the bottom and white at the top. The paint layer on the right panel has higher hiding, making the black and white grounds almost indistinguishable.
Two red pigments are used to coat two vertical panels, both black at the bottom and white at the top. The paint layer on the right panel has higher hiding, making the black and white grounds almost indistinguishable.

Worked examples

Example 1 — a first encounter with Hiding power

Start with the simplest possible case. Write down what Hiding power 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 Hiding power 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 Hiding power 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 Hiding power

In research
Hiding power 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 Hiding power 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
Hiding power is common in secondary-school and first-year university syllabi. It links to neighbouring topics Paints, Scattering, absorption and radiative transfer (optics), so understanding it makes those chapters shorter.
In everyday life
Look for Hiding power 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 Hiding power in 20 minutes

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

Frequently asked questions

What is Hiding power in simple terms?

The hiding power is an ability of a paint to hide the surface that the paint was applied to. Numerically, it is defined as an area of surface coated by a volume of paint (spreading rate) at which the "complete hiding" of the underlying surface occurs.

Why does Hiding power 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 Hiding power?

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 Hiding power.

Tags

  • Paints
  • Scattering, absorption and radiative transfer (optics)

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