Understanding kT/hc in Derivations

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In summary, kT/hc is a constant that combines Boltzmann's constant, temperature, and the speed of light over Planck's constant. It is crucial in derivations as it connects microscopic and macroscopic quantities. It is also closely related to quantum mechanics, appearing in the equation for the energy of a photon. While it can be derived from other physical constants, its value can vary depending on the substance or system being studied. kT/hc is essential in practical applications, such as in the design of electronic devices and understanding the behavior of materials and chemical reactions.
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Randomchemstudent
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Homework Statement
Like the title- what's kT/hc?
Relevant Equations
kT/hc= 207.224cm^-1 (for example)
My lecturer was going through a derivation, and I'm a bit stumped as to what kT/hc actually signifies. Like what is it...
 
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Is it a measure of energy in cm^-1?
 
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Yes, basically. To be exact, it’s a measure of energy at a specific (experimentally relevant) temperature.
 
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TeethWhitener said:
Yes, basically. To be exact, it’s a measure of energy at a specific (experimentally relevant) temperature.

Thanks, that cleared that up!
 

1. What does kT/hc represent in a derivation?

kT/hc represents the thermal energy of a system, where k is the Boltzmann constant, T is the temperature, and hc is the product of Planck's constant and the speed of light.

2. How is kT/hc used in statistical mechanics?

kT/hc is used to calculate the average energy of particles in a system and to determine the probability of a particle occupying a particular energy level.

3. Can kT/hc be used in all types of derivations?

Yes, kT/hc is a fundamental constant in physics and can be used in derivations related to thermodynamics, statistical mechanics, and quantum mechanics.

4. How does kT/hc relate to the concept of entropy?

kT/hc is related to entropy through the Boltzmann factor, e^(-E/kT), where E is the energy of a system. This factor is used to calculate the probability of a system being in a particular state, and it is directly related to the system's entropy.

5. Can kT/hc be experimentally measured?

Yes, kT/hc can be experimentally measured using various techniques, such as spectroscopy or calorimetry, to determine the energy and temperature of a system.

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