Sodium is body-centred cubic with and molar mass

PHYSICS · Multi-part · Fermi University Physics · Condensed Matter, Materials & Soft Matter · Crystal structure, bonding and diffraction · Crystal structure, bonding and diffraction

Condensed Matter Physics, Ch What holds a solid together, and where its atoms sit

Problem

Sodium is body-centred cubic with

a=4.291\,\mathrm{\mathring{A}}

and molar mass

22.99\,\mathrm{g\,mol^{-1}}

. Find ((a)) the atomic radius, assuming touching spheres along the body diagonal, ((b)) the packing fraction, and ((c)) the density predicted from this structure. The measured density is

0.971\,\mathrm{g\,cm^{-3}}

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