The intrinsic spin of elementary particles, such as electrons and protons, is a fundamental property of quantum mechanics. The value of intrinsic spin for these particles is determined by experimental measurements and is an inherent characteristic that cannot be derived from other properties.
The value of intrinsic spin for electrons and protons has been extensively studied and measured in experiments. The intrinsic spin of an electron is known to be 1/2 in units of the reduced Planck constant (ħ), while the intrinsic spin of a proton is also 1/2. This means that both particles have half-integer spin.
The measurement of intrinsic spin is typically performed using techniques such as electron spin resonance (ESR) or nuclear magnetic resonance (NMR), which exploit the interaction of the particle's spin with an external magnetic field. These experiments provide direct evidence of the half-integer spin values for electrons and protons.
It is important to note that the value of intrinsic spin is not determined by any classical analogy and is a unique property of quantum particles. The concept of intrinsic spin arises from the mathematical formalism of quantum mechanics and is an essential component of our current understanding of the fundamental nature of matter.