Enter the radius of the unit cell into the calculator to determine the HCP (hexagonal closed packing) height .

HCP Height Formula

The following equation is used to calculate the HCP Height.

H = 4*r * SQRT (2/3)

  • Where H is the hexagonal closed packing height (hcp)
  • R is the radius of the unit cell

To calculate the HCP height, multiply the radius by 4, then multiply that result by the square root of 2/3.

What is a HCP Height?


An HCP height, also known as hexagonal packing height, is a measure of the total height of a hexagonal close packing structure of spheres.

How to Calculate HCP Height?

Example Problem:

The following example outlines the steps and information needed to calculate the HCP Height.

First, determine the radius of the unit cell. For this example, the radius is given as a value of 5.

Next, the final and last step is to calculate the HCP height using the formula above:

H = 4*r * SQRT (2/3)

H = 4*5 * SQRT (2/3)

H = 16.3299