Chemistry, asked by chandganjoo, 9 months ago

what is de broglie's principle​

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Answered by bhaveshpandya7893
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De Broglie's hypothesis of matter waves postulates that any particle of matter that has linear momentum is also a wave. The wavelength of a matter wave associated with a particle is inversely proportional to the magnitude of the particle's linear momentum. The speed of the matter wave is the speed of the particle.

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Answered by chrissajiphilip
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Answer:

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Explanation:

De Broglie hypothesis says that all matter has both particle and wave nature. The wave nature of a particle is quantified by de Broglie wavelength defined as λ=h/p where P is the momentum of the particle. This was called a hypothesis because there was no evidence for it when it was proposed, only analogies with existing theories. (The wavelength-momentum relation holds exactly for photons.)

Historically, de Broglie hypothesis was the next step in quantum theory after Planck, Einstein and Bohr.

In 1900, Max Planck introduced the notion that radiation is quantized to derive the black body radiation spectrum.

In 1905, Albert Einstein used Planck's idea to explain photoelectric effect, which led to wide acceptance of the quantum nature of radiation.

In 1913, Niels Bohr used quantization of radiation along with the Bohr hypothesis (that the angular momentum of electrons is quantized) to correctly predict the line spectrum of hydrogen atom and explain .

In 1923, Lois de Broglie took this idea further and proposed that matter has wave nature as radiation has particle nature.

Bohr hypothesis comes as an immediate consequence of de Broglie hypothesis - angular momentum must be conserved if an electron in an atom is seen as a wave going in circles around a nucleus such that the electron wave interferes constructively everywhere in the orbit.

In 1926 Erwin Schrödinger published the Schrödinger equation which generalized de Broglie's concept of matter waves and put them in a more robust theoretical footing.

The direct experimental confirmation came in 1927 when Clinton Davisson and Listor Germer and independently, GP Thomson observed electron diffraction.

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