Question

It is sometimes useful to know what size of atoms will fit in the gaps between larger atoms (we call these gaps interstices). We will look at that principle in 2D now, so that we can extend it to 3D later. If we define the radius of the large circles in the diagram below to be R and the radius of the circles which just fits exactly in the interstice to be r, the radius ratio (r/R) can be calculated. This is done in the tutorial for square packing. a) Estimate from looking at the diagram (and possibly doing a rough measurement) the size of circle which can fit in the interstices of close-packed circles, in terms of the radius ratio. b) Now calculate r/R precisely based on the geometry.

The final answer for b is 0.15 but I need to know the way how to solve it?

Answer 1

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