How to Convert a Denier to a Micron

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Yarn is made up of numerous filaments.
Yarn is made up of numerous filaments. (Image: yarn image by Liz Van Steenburgh from Fotolia.com)

A denier is a unit of weight for fibers. It is defined as the weight of 9,000 meters of the fiber, and it is generally measured in grams. The current denier standard is 10 grams per 9,000 meters. Microns, also called micrometers, are units of measurement that equal one millionth of a meter. To put that into perspective, the diameter of a strand of human hair is between 20 and 180 microns. You can determine the diameter of a fiber in microns if you know its denier and density.

Convert the density of the fiber into grams per millileter (g/ml). For example, Fiber X has a density of 1.5 kg per liter, or 1.5 g/ml.

Divide the denier of the fiber by the density of the fiber. For example, Fiber X has a known denier of 2. The denier divided by 1.5 equals 1.333.

Take the square root of that number. In the case of Fiber X, the square root is 1.155.

Multiply the square root by 11.89. This will give you the diameter in microns. The diameter of Fiber X is 13.73 microns.

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