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The hiding power is an ability of a
paint Paint is any pigmented liquid, liquefiable, or solid mastic composition that, after application to a substrate in a thin layer, converts to a solid film. It is most commonly used to protect, color, or provide texture. Paint can be made in many ...
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 Reflection is the change in direction of a wavefront at an interface between two different media so that the wavefront returns into the medium from which it originated. Common examples include the reflection of light, sound and water waves. The ' ...
, 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 Scattering is a term used in physics to describe a wide range of physical processes where moving particles or radiation of some form, such as light or sound, are forced to deviate from a straight trajectory by localized non-uniformities (including ...
. 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 The litre (international spelling) or liter (American English spelling) (SI symbols L and l, other symbol used: ℓ) is a metric unit of volume. It is equal to 1 cubic decimetre (dm3), 1000 cubic centimetres (cm3) or 0.001 cubic metre (m3). ...
). 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 Luminance is a photometric measure of the luminous intensity per unit area of light travelling in a given direction. It describes the amount of light that passes through, is emitted from, or is reflected from a particular area, and falls withi ...
" 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 Radiative transfer is the physical phenomenon of energy transfer in the form of electromagnetic radiation. The propagation of radiation through a medium is affected by absorption, emission, and scattering processes. The equation of radiative tran ...
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 Reflectometry uses the reflection of waves at surfaces and interfaces to detect or characterize objects. There are many different forms of reflectometry. They can be classified in several ways: by the used radiation (electromagnetic, ultrasound, ...
(measurement of just one application of paint with incomplete hide on a black-and-white
drawdown chart Drawdown charts are rectangular pieces of non-fluorescent paper which are used to test a variety of coating properties. These properties include opacity, spreading rate, penetration, and flow & leveling behavior. This non-fluorescent material ha ...
for each
light wavelength Light or visible light is electromagnetic radiation that can be perceived by the human eye. Visible light is usually defined as having wavelengths in the range of 400–700 nanometres (nm), corresponding to frequencies of 750–420 terahe ...
is required). The model uses many assumptions, including the diffuse illumination, no reflections on the film/air and film/substrate
interfaces Interface or interfacing may refer to: Academic journals * Interface (journal), ''Interface'' (journal), by the Electrochemical Society * ''Interface, Journal of Applied Linguistics'', now merged with ''ITL International Journal of Applied Lin ...
, 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 Perception () is the organization, identification, and interpretation of sensory information in order to represent and understand the presented information or environment. All perception involves signals that go through the nervous system ...
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.ASTM D5150-92(2017)
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Role of pigments

Almost all the hiding power of the paint is due to the
pigment A pigment is a colored material that is completely or nearly insoluble in water. In contrast, dyes are typically soluble, at least at some stage in their use. Generally dyes are often organic compounds whereas pigments are often inorganic compo ...
(
binders Ring binders (loose leaf binders, looseleaf binders, or sometimes called files in Britain) are large folders that contain file folders or hole punched papers. These binders come in various sizes and can accommodate an array of paper sizes. The ...
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 In optics, the refractive index (or refraction index) of an optical medium is a dimensionless number that gives the indication of the light bending ability of that medium. The refractive index determines how much the path of light is bent, or ...
. 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


Sources

* * * * {{cite book , title = Pigments, Extenders, and Particles in Surface Coatings and Plastics , last1 = Diebold , first1 = Michael , last2 = Backer , first2 = Steven De , last3 = Niedenzu , first3 = Philipp M. , last4 = Hester , first4 = Brett R. , last5 = Vanhecke , first5 = Frank A. C. , chapter = Measurement of the Optical Properties of Paints and Plastics , date = 2022 , pages = 439–481 , publisher = Springer International Publishing , doi = 10.1007/978-3-030-99083-1_13 , isbn = 978-3-030-99082-4 , chapter-url = https://link.springer.com/chapter/10.1007/978-3-030-99083-1_13 Paints Scattering, absorption and radiative transfer (optics)