What is the lower limit of frequency range of acoustic phonon modes?

In summary, the lower limit of frequency range of acoustic phonon modes is determined by the Debye frequency, typically on the order of 10^12 Hz. This limit plays a crucial role in determining the thermal and mechanical properties of materials and is influenced by factors such as density, elasticity, crystal structure, and bonding type. There is a direct relationship between the lower limit of frequency range and temperature, with a higher temperature resulting in a higher limit. This limit can be experimentally determined using techniques such as Brillouin scattering or inelastic neutron scattering.
  • #1
zhanhai
69
0
Good day everyone.

I would like to know about the lower limit of the frequency range of active acoustic phonon modes. Textbooks say it can reach zero. But I am curious about whether it can be very small, such as 1 micro volt or the like. Would a phonon mode of so small energy be of any significance to experimental results?
 
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  • #2
Microvolts for frequency?
 

Related to What is the lower limit of frequency range of acoustic phonon modes?

What is the lower limit of frequency range of acoustic phonon modes?

The lower limit of frequency range of acoustic phonon modes is determined by the Debye frequency, which is the maximum frequency that a phonon can have in a crystal lattice. This limit is typically on the order of 10^12 Hz.

How does the lower limit of frequency range of acoustic phonon modes affect material properties?

The lower limit of frequency range of acoustic phonon modes plays a crucial role in determining the thermal and mechanical properties of materials. It affects the speed of sound, thermal conductivity, and specific heat capacity of a material.

What factors influence the lower limit of frequency range of acoustic phonon modes?

The lower limit of frequency range of acoustic phonon modes is influenced by the density and elasticity of a material. It also depends on the crystal structure and the type of bonding between atoms in the material.

Is there a relationship between the lower limit of frequency range of acoustic phonon modes and temperature?

Yes, the lower limit of frequency range of acoustic phonon modes is directly related to temperature. As temperature increases, the Debye frequency also increases, resulting in a higher lower limit for acoustic phonon modes.

Can the lower limit of frequency range of acoustic phonon modes be experimentally determined?

Yes, the lower limit of frequency range of acoustic phonon modes can be experimentally determined using techniques such as Brillouin scattering or inelastic neutron scattering. These methods allow for the measurement of phonon frequencies in a material.

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