1- The following graph represents the dependence of the oscillation (f) of a diatomic lattice in sec¹ units on the y-axis and the wave number k in m²¹ units on the x-axis, given that Hooke's constant = 4 N/m²

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1- The following graph represents the dependence of the oscillation (f) of a
diatomic lattice in sec¹ units on the y-axis and the wave number k in m²¹ units
on the x-axis, given that Hooke's constant = 4 N/m²
-1
×1012
frecuency
20.0
10.0
0.0
acoustic branch
-optical branch
-20.0
0.0
Wavenumber (1/m)
20.0
×1012
20.0
10.0
0.0
x10⁹
frecuency (Hz)
1- Calculate the masses of the two vibrating atoms?
2- Determine the range of the forbidden frequency region?
3- Determine the Debye Temperature?
4- Calculate the maximum frequency and the frequency at the boundary if m₂ be
equal to m1 (equal to the largest mass)? Then redraw the previous relation in
this case?
5- Calculate the lattice constant (a) for the oscillating atoms
Transcribed Image Text:1- The following graph represents the dependence of the oscillation (f) of a diatomic lattice in sec¹ units on the y-axis and the wave number k in m²¹ units on the x-axis, given that Hooke's constant = 4 N/m² -1 ×1012 frecuency 20.0 10.0 0.0 acoustic branch -optical branch -20.0 0.0 Wavenumber (1/m) 20.0 ×1012 20.0 10.0 0.0 x10⁹ frecuency (Hz) 1- Calculate the masses of the two vibrating atoms? 2- Determine the range of the forbidden frequency region? 3- Determine the Debye Temperature? 4- Calculate the maximum frequency and the frequency at the boundary if m₂ be equal to m1 (equal to the largest mass)? Then redraw the previous relation in this case? 5- Calculate the lattice constant (a) for the oscillating atoms
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