Newton's Law of Cooling and Resonance Phenomena

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The discussion focuses on determining the natural frequency of water molecules using Newton's law of cooling and resonance phenomena. The natural frequency refers to the frequency at which a system oscillates without external forces. Calculating this for a single water molecule at 25 °C and 1 atm is complex, as it typically requires quantum chemistry methods or simplified models. The conversation highlights that discussing a single molecule in this context may not be meaningful. Ultimately, the approach to finding vibrational frequencies must consider the limitations of molecular behavior under specified conditions.
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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