standing wave with vibrating particles
The relationship between the momentum and wavelength of an electron is described by the de Broglie hypothesis, which states that the wavelength of a particle is inversely proportional to its momentum. This means that as the momentum of an electron increases, its wavelength decreases, and vice versa.
Erwin Schrodinger, a German physicist,
Assuming you mean that the velocity is 1/9th the speed of light then you need to use the de Broglie equation for the wavelength of a particle, which says that the wavelength is equal to Planck's constant divided by the momentum. Thus, λ = h / p = h / (m*v) = h/(m*1/9*c) = 9*h/(m*c) where λ=wavelength, h=Planck's constant, p=momentum, m=mass of the electron, v=velocity, and c=speed of light this gives λ = 9 * 6.626*10^-34 / (9.109*10^-31 * 3.00*10^8) = 2.18*10^-11 meters
Louis de Broglie proposed the theory of electron waves in 1924 as part of his doctoral thesis, which suggested that electrons have both particle-like and wave-like properties. This marked a significant contribution to the development of quantum mechanics, laying the foundation for wave-particle duality and the concept of matter waves.
The de Broglie wavelength of a photon remains constant as its velocity increases because a photon always travels at the speed of light in a vacuum. The wavelength of light is determined by its frequency according to the equation λ = c / f.
It is electron since wavelength = h/(mv), and since proton's mass > electron's mass, electron's wavelength is longer.
4.2*10-11
The relationship between the momentum and wavelength of an electron is described by the de Broglie hypothesis, which states that the wavelength of a particle is inversely proportional to its momentum. This means that as the momentum of an electron increases, its wavelength decreases, and vice versa.
To find the final de Broglie wavelength, you can use the equation λ = h/p, where λ is the wavelength, h is Planck's constant, and p is the momentum of the electron. The momentum can be calculated as p = √(2mE), where m is the mass of the electron and E is the kinetic energy acquired from the potential difference. Find the final speed of the electron using the equation v = √(2eV/m), where e is the elementary charge. Finally, use the speed to calculate the final momentum and plug it into the de Broglie wavelength formula.
Louis de Broglie
Erwin Schrodinger, a German physicist,
Jean de Broglie died in 1976.
Assuming you mean that the velocity is 1/9th the speed of light then you need to use the de Broglie equation for the wavelength of a particle, which says that the wavelength is equal to Planck's constant divided by the momentum. Thus, λ = h / p = h / (m*v) = h/(m*1/9*c) = 9*h/(m*c) where λ=wavelength, h=Planck's constant, p=momentum, m=mass of the electron, v=velocity, and c=speed of light this gives λ = 9 * 6.626*10^-34 / (9.109*10^-31 * 3.00*10^8) = 2.18*10^-11 meters
The DeBroglie wavelength of an electron with 1 eV KE and rest mass energy 0.511 MeV is 1.23 nm. This is around a thousand times smaller than a 1 eV photon. To find the DeBroglie wavelength of an electron, simply divide Planck's constant by the momentum of the electron.
Louis de Broglie proposed the theory of electron waves in 1924 as part of his doctoral thesis, which suggested that electrons have both particle-like and wave-like properties. This marked a significant contribution to the development of quantum mechanics, laying the foundation for wave-particle duality and the concept of matter waves.
de Broglie waves for electrons have wavelengths similar to that of x-rays, which diffract when sent through certain crystals according to the Laue phenomenon. These wavelengths where fist confirmed by diffraction by Davisson and Germer.
Victor de Broglie was born on November 28, 1785.