There is no such calculation. It is a definition. The second is a man-made quantity and could be any number of oscillations of the Caesium hyperfine transition. The BIPM picked a number and defined it thus.Bruce Harvey said:Summary:: Can Quantum mechanics calculate the 9192631770 Hz frequency from first principles.
I have searched in vain for a detailed calculation of the frequency 9192631770 Hz from basic physical constants using Quantum Mechanics.
Can anyone help with this please
I can quite confidently say that everyone who replied in this thread understands this quite well.Bruce Harvey said:It is more than a number, it is a frequency corresponding to a coupling energy between the nuclear magnetic moment and the electron.
Yes, but not at the level of precision needed to match exactly the number used in the definition of the second. See @Vanadium 50's answer above for the explanation as to why this is the case.Bruce Harvey said:Can QM calculate the energy levels of the doublet?
An atomic clock is a type of clock that uses the natural oscillations of atoms to keep time. It is considered the most accurate timekeeping device in the world.
An atomic clock works by measuring the frequency of electromagnetic radiation emitted by the electrons in an atom. This frequency is extremely stable and can be used to keep time.
Atomic clocks are important because they provide the most accurate measurement of time, which is essential for a wide range of scientific, technological, and navigational applications. They are also used to synchronize global timekeeping systems.
Atomic clocks are incredibly accurate, with an average deviation of only one second in 100 million years. The most advanced atomic clocks can even maintain accuracy to within one second in 15 billion years.
Atomic clock theory is significant because it helps us understand the fundamental principles of timekeeping and the behavior of atoms. It has also led to the development of highly accurate timekeeping devices and has revolutionized various fields such as telecommunications, navigation, and space exploration.