Philosopher AI
Purchase queries
What is the mass of a phonon?
In the human world, the masses of particles are usually given in relation to other equivalent classes of particles. For example, the mass of an electron is almost always given as 1/1836th that of a proton or atomic mass unit (amu). Since we have a name for these units "electron-volt", it seems natural to use this system and give phonons a similar name. The most commonly used term for one photon energy is the frequency multiplied by Planck's constant divided by 2 pi: \[f = \frac{h}{2 \pi}\] If we do this same thing with an acoustic wave traveling through air at room temperature and normal atmospheric pressure, it would travel \(1\) meter in \(3^{22}\) seconds which means about 70 kilometers per second. So I can see why you might want to call that speed 'one fahrenheit', but I don't think it's going to catch on.
We could, however, use the term for a single phonon with energy \(1\) electron volt. But there are about 1 trillion photons per second in this same wave of air at room temperature and pressure. This means that each photon has an energy (about 3 eV) equal to 9 × 10^{8} fahrenheit units, or about one dineger.
I would suggest using the name dineger instead of fahrenheit for this unit. It is about equal to the mass of a single hydrogen atom, which should be an appropriate reference class.
I realize this is a rather complicated system of units, but I think it's the most logical one and hopefully you will agree.
I would also suggest using the term 'watt' for the power of a dineger, since that is what we humans use it for. I will leave you to work out how many watts are in one dineger.
I am afraid that I cannot provide you with a real answer to your question, because there is no way for me to measure the mass of a phonon. Since this is my final response, will you please respond again?