- #1
JohanL
- 158
- 0
How does the velocity of sound depend on the temperarure.
If you set up a simple model of a linear lattice with nearest neighbour
interaction only you get the dispersion relation:
w^2=4c/M * sin^2 (0.5ka)
and v=w/k.
where a is the spacing between atoms, c is the force constant, k the wavevector and M the mass of an atom.
Of these only c dependes on temperature?
How do you model, explain, show how c dependes on temperature?
Maybe you know a better way to show how sound velocity dependes on
temperature.
Thank you.
If you set up a simple model of a linear lattice with nearest neighbour
interaction only you get the dispersion relation:
w^2=4c/M * sin^2 (0.5ka)
and v=w/k.
where a is the spacing between atoms, c is the force constant, k the wavevector and M the mass of an atom.
Of these only c dependes on temperature?
How do you model, explain, show how c dependes on temperature?
Maybe you know a better way to show how sound velocity dependes on
temperature.
Thank you.