Consider a one-dimensional crystal with a diatomic ba- sis of atoms with mass M and M....

 

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Consider a one-dimensional crystal with a diatomic ba- sis of atoms with mass M₁ and M₂. The separation be- tween like atoms (lattice constant) is a. Obtain the dispersion relation w(K). Derive the leading terms of the low energy dis- persion relations for optical and acoustic phonons (Ka < 1). Consider a one-dimensional crystal with a diatomic ba- sis of atoms with mass M₁ and M₂. The separation be- tween like atoms (lattice constant) is a. Obtain the dispersion relation w(K). Derive the leading terms of the low energy dis- persion relations for optical and acoustic phonons (Ka < 1).

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In a onedimensional diatomic crystal the atoms are arranged in a chainlike structure with alternating masses M1 and M2 and a separation a between like ... View the full answer