Can Atoms in Liquids Be Considered Classically?

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Atoms in liquids can be considered classically because their deBroglie wavelength is significantly smaller than the atomic spacing. To demonstrate this, one can use the deBroglie wavelength formula, λ = h/mv, where h is Planck's constant and m is the mass of the atom. The velocity (v) can be derived from kinetic energy, using either E = kT or E = (3/2)kT, depending on the context. The discussion highlights the relationship between temperature, kinetic energy, and atomic behavior in liquids. Understanding these principles clarifies why classical mechanics applies to atomic interactions in liquid states.
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Hey

Just wondering why atoms in liquids can be considered classically

If you compare the deBroglie wavelength with the atomic spacing, I understand that the deBroglie wavelength should be much smaller than the spacing.

But how could you show that?

If

\lambda = \frac{h}{mv}

How would you know the velocity?
 
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Sorry, DUH, I just thought

E=kT= 0.5mv^2

Silly me
 
Should it be kT or \frac{3kT}{2} ?
 
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