Newton's Law of Cooling and Resonance Phenomena

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Discussion Overview

The discussion revolves around the relationship between Newton's law of cooling and the natural frequency of water molecules, exploring whether these concepts can be used to find the natural frequency of water's molecules. The scope includes theoretical considerations and potential applications in understanding molecular behavior.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant inquires about finding the natural frequency of water's molecules using Newton's law of cooling and resonance phenomena.
  • Another participant requests a definition of "the natural frequency" of a molecule of water.
  • A third participant defines natural frequency as the frequency at which a system oscillates without external forces and suggests calculating it for a single water molecule under specific conditions (25 °C and 1 atm).
  • A later reply challenges the feasibility of discussing a single molecule's natural frequency at given temperature and pressure, suggesting that quantum chemistry calculations or a mass-and-spring model would be necessary for vibrational frequencies.

Areas of Agreement / Disagreement

Participants express differing views on the appropriateness of discussing the natural frequency of a single molecule of water, indicating a lack of consensus on the initial inquiry and the methods proposed for calculation.

Contextual Notes

The discussion highlights limitations in defining natural frequency for a single molecule, as well as the dependence on quantum mechanical principles for accurate calculations.

Gh. Soleimani
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Can we find the natural frequency of water's molecules by using of Newton's law of cooling and resonance phenomena?
 
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Please define "the natural frequency" of a molecule of water.
 
Natural frequency is the frequency at which a system tends to oscillate in the absence of any driving or damping force. Free vibrations of an elastic body are called natural vibrations and occur at a frequency called the natural frequency.

Now, assume we want to calculate the natural frequency of a single molecule of water in normal conditions: T = 25 °C and P = 1 atm

What is the procedure of the solution?
 
Gh. Soleimani said:
Now, assume we want to calculate the natural frequency of a single molecule of water in normal conditions: T = 25 °C and P = 1 atm
For starters, it does not make sense to talk about a single molecule at a given temperature and pressure.

If you are talking about about the vibrational frequencies of a molecule, then you would have to do quantum chemistry calculations or use a simplified mass-and-spring model.

But I have the feeling that this is not what you are after.
 

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