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For this problem, consider a hexagonally closepacked (HCP) arrangement of spherical particles of radius a in a compact. (a) Find the radius, r, of a

For this problem, consider a hexagonally close‐packed (HCP) arrangement of spherical particles of radius a in a compact. (a) Find the radius, r, of a smaller spherical particle that would fit precisely in the interstices of the original particles of radius a. (b) Determine the relative density of the compact if all interstices are filled with this perfectly sized sphere.

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