電子の波長

wavelength of an electron is calculated for a given energy (accelerating voltage) by using the de Broglie relation between the momentum p and the wavelength λ of an electron (λ＝h/p, h is Planck constant). As a result, the wavelength of an electron λ is expressed by the following first equation, where m₀ is the rest mass of an electron, e is the elementary charge of an electron, E [V] is the accelerating voltage before the relativistic correction, and E^* [V] is the accelerating voltage after the relativistic correction. The velocity v [m/s] of an electron under the accelerating voltage E [V] is expressed by the following second equation.
Table 1 shows a comparison list between the accelerating voltage E, the accelerating voltage after the relativistic correction E^*, the wavelength of an electron λ, the velocity of an electron v, and the ratio of the velocity of an electron to the velocity of light β=v/c.