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12 wrz 2022 · In 1924, Louis de Broglie proposed a new speculative hypothesis that electrons and other particles of matter can behave like waves. Today, this idea is known as de Broglie’s hypothesis of matter waves .
- 5.8: de Broglie Wave Equation
The de Broglie wave equation allows the calculation of the...
- 5.8: de Broglie Wave Equation
Using ideas based on quantum theory and Einstein’s theory of relativity, de Broglie suggested that the momentum (p) of a particle and its associated wavelength (λ) are related by the equation: Using momentum , the de Broglie wavelength can be written in terms of the speed of a moving particle:
What is de Broglie’s wavelength of a nonrelativistic proton with a kinetic energy of 1.0 eV? Using the concept of the electron matter wave, de Broglie provided a rationale for the quantization of the electron’s angular momentum in the hydrogen atom, which was postulated in Bohr’s quantum theory.
The deBroglie Equation: Relating a Particle's Energy to its Wavelength. Return to Electrons in Atoms menu. In relating a particle's energy to its wavelength, two equations are used. The first is the kinetic energy equation: Equation Number One: KE = (1/2) mv 2. (The second equation is down the page a bit.) There are three symbols in this equation:
De Broglie proposed that electrons travel through space as a wave. This would explain why they can exhibit behaviour such as diffraction. He therefore suggested that electrons must also hold wave properties, such as wavelength. This became known as the de Broglie wavelength.
28 gru 2020 · French physicist Louis de Broglie won the Nobel Prize in 1929 for groundbreaking work in quantum mechanics. His work to show mathematically how subatomic particles share some of the same properties of waves was later proven correct through experiment. His particle wavelength equation is: λ = h/p.
20 wrz 2022 · The de Broglie wave equation allows the calculation of the wavelength of any moving object. As the speed of the electron decreases, its wavelength increases.
