Universe is made up of radiation (light) and matter (particles). Light has a dual nature i.e., it possess both particle nature and wave nature. No single phenomena exhibit both particle nature and wave nature simultaneously. Moving particle is always associated with a wave. The wave associated with a particle is termed as matter waves.
In 1924, French Physicist de-Broglie justified this concept with following points:
i. Nature loves symmetry. If radiation (light) can act like ware at sometime and like a particle at the other time, then matter(particles) (e.g… electron, neutron, etc., ) should also act as wave at some time and particles at some other times.
ii. Our universe is fully composed of light and matter.
de-Broglie wavelength
De Broglie proposed that a wave is always associated with every moving particles (like electron) and its corresponding wavelength (called de broglie wavelength) is given by de-Broglie wave equation \text { de-Broglie wave equation } \lambda=\frac{\mathrm{h}}{\mathrm{m} \nu} This wave which is associated with a moving particle is known as matter wave. The wavelength of matter wave is called de Broglie wavelength.
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