The conversion from electronvolts (eV) to Kelvin (K) reveals that 7 eV corresponds to approximately 81121 K, which indicates the average energy of particles in a many-particle system. This relationship is defined by the Boltzmann distribution, which describes the energy distribution among particles. The temperature reflects the average energy, but individual particles may possess varying energy levels. The discussion emphasizes that temperature is meaningful only in systems with a sufficient number of particles, typically hundreds or more.
PREREQUISITESPhysicists, chemists, and students in thermodynamics or statistical mechanics who seek to understand the relationship between energy and temperature in many-particle systems.
Shyan said:Temperature is soemthing which can be defined for only many particle systems, you need to have at least a few hundread particles, if not more!
Then, the energy equivalent to a particular temperature is interpreted as the average energy of those particles. So when you say 7eV corresponds to 81121 K, it means that in a many particle system with such a temperature, the average energy of particles is 7eV. Some particles have much more energy and some much less.
Yeah, Boltzmann distribution tells you what fraction of the particles have a particular energy.Questions554 said:Ah cool, does this have to do with the mean of a Boltzmann distribution? This would mean 7eV being a vibrational energy?
Shyan said:Yeah, Boltzmann distribution tells you what fraction of the particles have a particular energy.
But all the energy doesn't have to be vibrational. It depends on the system. You may have a monatomic gas which can only have translational degrees of freedom. Or you may have something like a water molecule which can rotate around several axis and also has some vibrational degrees of freedom too. Of course the translational degrees of freedom are still present.