Atomic Vibration Speed: m/s Conversion

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    Atomic Speed Vibration
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Discussion Overview

The discussion centers around the conversion of atomic vibration frequency, expressed in Hz, to a speed measurement in meters per second (m/s). Participants explore the relationship between frequency and velocity in the context of atomic and molecular vibrations, touching on concepts from thermal physics.

Discussion Character

  • Exploratory
  • Technical explanation
  • Mathematical reasoning

Main Points Raised

  • One participant inquires about converting atomic vibration frequency from Hz to m/s.
  • Another participant asserts that frequency cannot be expressed in m/s, highlighting the incompatibility of the units.
  • A different participant suggests a method to estimate speed by assuming simple harmonic motion, indicating that the maximum velocity can be calculated using the formula 2π * frequency * amplitude of vibration.
  • Another contribution provides information about the root mean square (rms) velocity of thermal neutrons and heavier molecules, referencing the relationship between kinetic energy and temperature, and including relevant constants.

Areas of Agreement / Disagreement

Participants express differing views on the compatibility of frequency and speed units, with some asserting that they cannot be directly converted while others propose methods for estimation. The discussion remains unresolved regarding the best approach to relate these concepts.

Contextual Notes

Limitations include the assumptions made in estimating speeds based on simple harmonic motion and the specific conditions under which the rms velocity is calculated, such as temperature and molecular mass.

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How fast does an atom vibrate in m/s. I have found how fast it vibrates in hz but I'm trying to convert that to speed. Thanx.
 
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You can't express a frequency in m/s

Frequency is expressed in Hz, or /s. The units are not compatible.
 
You can get a rough estimate by assuming the vibrations are simple harmonic.The velocity varies between zero and a maximum of 2pi*frequency*amplitude of vibration.(as matterwave pointed out it was probably the frequency that you found)
 
Thermal neutrons (mass = 1 AMU) have an rms velocity of about 2200 meters per second at room temperature. Heavier molecules like N2 have an rms velocity of 2200/sqrt (28)where 28 is the gram molecular mass of nitrogen molecule. The relation is (1/2) m v2 = kT where k is Boltzmann's constant and T is in kelvin.

Boltzmanns constant = 1.38 x 10-23 Joules per degree kelvin
 

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