You will need

- wavelength, wave number, phase velocity, energy of a particle

Instruction

1

Let L be the length

**of the wave**, V is its phase velocity, and T the period of oscillation**of a wave**. Then, by definition, L = VT = V/f, where f is the frequency**of the wave**. Thus through the length**of the wave**and its phase velocity is frequency**of a wave**is expressed by the formula: f = V/L.2

Using these values we can Express the circular

**frequency****of the wave**w. By definition, the circular frequency is expressed via**the frequency**f by the formula w = 2*pi*f. Then w = 2*pi*V/L.3

You can find

**the frequency**, knowing the wave number k = 2pi/L, the inverse length**of the wave**. Substituting expressed through this formula the L value into the formula for frequency**of a wave**, we get: f = k*V/(2pi). Accordingly, w = k*V.4

From quantum theory it is known that the frequency of any electromagnetic radiation is proportional to the energy of its constituent photons. Waves associated with the microparticle and displaying the quantum nature of called, the de Broglie waves. The frequency

**of the wave**de Broglie wave is related to its energy through Planck's constant: f = E/h, where h is Planck's constant.