Can Atoms in Liquids Be Considered Classically?

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SUMMARY

Atoms in liquids can be considered classically when the de Broglie wavelength is significantly smaller than the atomic spacing. This relationship is established through the equation λ = h/mv, where λ represents the de Broglie wavelength, h is Planck's constant, m is the mass of the atom, and v is its velocity. The kinetic energy of the atoms, expressed as E = kT or E = (3/2)kT, plays a crucial role in determining the velocity, which is essential for calculating the de Broglie wavelength. Thus, understanding these relationships confirms the classical treatment of atomic behavior in liquids.

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  • Understanding of de Broglie wavelength
  • Familiarity with kinetic theory of gases
  • Knowledge of Planck's constant
  • Basic principles of thermodynamics
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  • Research the implications of de Broglie wavelength in different states of matter
  • Study the kinetic theory of gases in detail
  • Explore the relationship between temperature and atomic velocity
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Radiohannah
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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

[tex]\lambda = \frac{h}{mv}[/tex]

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 [tex]kT[/tex] or [tex]\frac{3kT}{2}[/tex] ?
 
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