Newton's Law of Cooling and Resonance Phenomena

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SUMMARY

The discussion centers on calculating the natural frequency of water molecules using Newton's Law of Cooling and resonance phenomena. The natural frequency is defined as the frequency at which a system oscillates without external forces. To determine the natural frequency of a water molecule at 25 °C and 1 atm, quantum chemistry calculations or a mass-and-spring model is necessary. The conversation highlights the complexity of discussing single molecules in thermodynamic conditions.

PREREQUISITES
  • Understanding of Newton's Law of Cooling
  • Familiarity with resonance phenomena
  • Basic knowledge of quantum chemistry
  • Concept of natural frequency in oscillatory systems
NEXT STEPS
  • Research quantum chemistry calculations for molecular vibrations
  • Explore the mass-and-spring model in oscillatory motion
  • Study the implications of temperature and pressure on molecular behavior
  • Investigate advanced topics in thermodynamics related to molecular dynamics
USEFUL FOR

This discussion is beneficial for physicists, chemists, and students interested in molecular dynamics, thermodynamics, and the principles of oscillatory systems.

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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