A student sets out to find copper's bond stiffness from

PHYSICS · Subjective · Fermi University Physics · Condensed Matter, Materials & Soft Matter · Crystal structure, bonding and diffraction · Lattice dynamics and thermal properties of solids

Condensed Matter Physics, Ch Elastic waves and the vibrating chain

Problem

A student sets out to find copper's bond stiffness from K=Mvs2/a2K=Mv_s^2/a^2, using vs=4760 m s−1v_s=4760\,\mathrm{m\,s^{-1}} and M=1.055×10−25 kgM=1.055\times10^{-25}\,\mathrm{kg}. For aa, Rahul uses copper's conventional cube edge, 3.615 A˚3.615\,\mathrm{\mathring{A}}, and finds K=18.3 N m−1K=18.3\,\mathrm{N\,m^{-1}}. Find Rahul's error, and give the correct value of KK.

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