Formula for the vibration rate of an atom?

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Discussion Overview

The discussion revolves around the inquiry into whether a formula exists for measuring the vibrational rate of an atom, particularly in relation to the states of matter and atomic movement in thermal contexts.

Discussion Character

  • Exploratory, Conceptual clarification

Main Points Raised

  • One participant inquires about the existence of a formula for measuring the vibrational rate of an atom.
  • Another participant clarifies that formulas are typically used for calculating expected values based on measurements, suggesting that a precise specification of forces, masses, and energies is necessary for such calculations.
  • A question is raised regarding whether the inquiry pertains to atomic movement in relation to heat and thermal states.
  • A participant confirms that their inquiry relates to the three states of matter and mentions finding the harmonic oscillator model useful.

Areas of Agreement / Disagreement

Participants have not reached a consensus; there are differing interpretations of the original inquiry regarding the nature of vibrational rates and the context in which they are measured.

greasehoot
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Just a general inquiry, and not for any personal gain and or theory, I would like to know if anyone has developed a formula for measuring the vibrational rate of an atom.
 
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What would it mean to have "a formula for measuring the vibrational rate of an atom"? If you want to measure something, you use a measuring device. Formulas are for calculating the value you expect to find if you were to perform the measurement.

There are ways of calculating the expected vibration rate (which is properly called "frequency") of various oscillating systems, but you have to start with a fairly precise specification of the forces, masses, and energies involved. If you google for "Harmonic oscillator" that will get you started.
 
Or are you asking this in relation to heat, i.e. the movement of an atom in a warm body?
 
well yeah, in relation to the three states that atoms could be in. I looked at the harmonic oscillator and found that to be quite handy.
 

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