Use (4 10 5) to find the rms displacement of the atoms in a crystal of silicon at T 300 K, for a phonon speed of v 510 5 cm s and density of 2 3 g cm 3 For the unit cell size of silicon 5 43 , what fraction of the unit cell size is the rms displacement 2 pVwk (x) (Nk) k 2 f(E), pV Jo E 50 A D(E)dE ...

From 4105 of the book we have 2 50 4101 In equilibrium Nk eEk 1 Therefore usin ...

Use (4.10.5) to find the rms displacement of the atoms in a crystal of silicon at T

Question:

Use (4.10.5) to find the rms displacement of the atoms in a crystal of silicon at T = 300 K, for a phonon speed of v = 5×10⁵ cm/s and density of 2.3 g/cm³. For the unit cell size of silicon 5.43 Å, what fraction of the unit cell size is the rms displacement?