InSb is a material that crystalizes into the zincblende crystal structure with a lattice constant of 6.479 (Å). Indium has an atomic mass of 114.818 (g/mol) and Sb has an atomic mass of 121.76 (g/mol). The phonon dispersion for InSb is shown in Figure 1. {Note: 1(THz) = 10^12(Hz)}
a) What is the velocity of sound in InSb?
b) Use the frequency at the zone boundary to determine the spring constant for the longitudinal acoustic waves?
c) Using the spring constant you found in part b), calculate the expected maximum optical acoustic frequency in InSb?

Question

InSb is a material that crystalizes into the zincblende crystal structure with a lattice constant of 6.479 (Å). Indium has an atomic mass of 114.818 (g/mol) and Sb has an atomic mass of 121.76 (g/mol). The phonon dispersion for InSb is shown in Figure 1. {Note: 1(THz) = 10^12(Hz)}

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a) What is the velocity of sound in InSb?

b) Use the frequency at the zone boundary to determine the spring constant for the longitudinal acoustic waves?

c) Using the spring constant you found in part b), calculate the expected maximum optical acoustic frequency in InSb?

InSb is a material that crystalizes into the zincblende crystal structure with a lattice constant of

6.479 (\overset{?}{A})

. Indium has an atomic mass of

114.818 (g / mol)

and

Sb

has an atomic mass of 121.76

(g / mol)

. The phonon dispersion for InSb is shown in Figure 1.

{

Note:

1 (THz) = 1 0^{12} (Hz)}

a) What is the velocity of sound in InSb? b) Use the frequency at the zone boundary to determine the spring constant for the longitudinal acoustic waves? c) Using the spring constant you found in part b), calculate the expected maximum optical acoustic frequency in

InSb

?

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