The edge dimension of a cube is sufficiently unambiguous but not without issue. Be aware that the maximum dimension of a cube is 1.732 times the edge dimension (one corner to opposite corner) and the face diagonal is 1.414 times the edge dimension. The volume of a unit cube is 1 cubic unit whereas the volume of a unit diameter sphere is (pi/6)*1 or ~ 0.53 units. Thus the equivalent sphere for the cube is 1.24 units - cube root of (6/pi). The circular equivalent for image analysis can be calculated in a similar fashion. Obvious room for confusion with different. Also be aware that a 4-dimensional cube (a tessaract) will have a 3-dimensional shadow.....
Thanks Dr. Alan F Rawle. However, lets assume I have to compare sizes of a sphere and a cube in a paper, in that case if I measure the diameter of the sphere what part of cube should I measure - side or max. dimension of cube ( diagonal).
Depends whether you’re comparing on the basis of volume/mass or surface area or (with a distribution) on the basis of number... All sizing techniques for irregular particles rely on ‘equvalents’.....
@ Seenaaa Hussein That is not the question. A little research on Google or ResearchGate will help you. A nanotube cannot be specified with a single dimension.