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Questions and Answers
What is the accelerating potential when the maximum appears for the first order spectrum at an angle of 50 degrees?
What is the accelerating potential when the maximum appears for the first order spectrum at an angle of 50 degrees?
54 volts
What confirms the existence of the diffraction phenomenon and the wavelike behavior of electrons in the experiment?
What confirms the existence of the diffraction phenomenon and the wavelike behavior of electrons in the experiment?
The maximum observed at a specific angle
What is the wavelength of the wave associated with the electron, calculated using the de Broglie relation?
What is the wavelength of the wave associated with the electron, calculated using the de Broglie relation?
$\lambda = \frac{h}{p} = \frac{h}{m_eV}$
What is the inter-planar spacing in the experiment, using the given values?
What is the inter-planar spacing in the experiment, using the given values?
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What is the value of the wavelength calculated using Bragg's law in the experiment?
What is the value of the wavelength calculated using Bragg's law in the experiment?
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Study Notes
Electron Diffraction and Bragg's Law
- The accelerating potential is determined when the first order spectrum appears at 50 degrees, indicating optimal conditions for diffraction interference.
- The existence of the diffraction phenomenon is confirmed by observing a distinct pattern of maxima and minima when electrons are directed towards a crystal lattice.
- The wave-like behavior of electrons is demonstrated through interference patterns that match theoretical predictions, supporting the de Broglie hypothesis.
De Broglie Wavelength
- The de Broglie relation, λ = h/p, relates the wavelength (λ) of an electron to its momentum (p), where h is Planck's constant.
- Computing this allows for determining the associated wavelength of the electron, linking its wave properties to its behavior in diffraction experiments.
Inter-planar Spacing
- The inter-planar spacing (d) in the crystal is crucial for understanding the diffraction pattern and can be derived using experimental values such as angle and wavelength.
- The spacing influences both the intensity and position of the maxima, providing insight into the lattice structure.
Wavelength Calculation using Bragg's Law
- Bragg's Law, nλ = 2d sin(θ), relates the wavelength (λ) to the inter-planar spacing (d) and the angle of incidence (θ).
- The calculated wavelength using this law offers a means to verify experimental findings, corroborating the relationships between angle, spacing, and electron behavior in the context of diffraction.
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Description
Electron Diffraction Experiment Quiz: Test your knowledge on the Davisson-Germer experiment that confirmed the wavelike behavior of electrons. Explore concepts like diffraction phenomenon, de Broglie relation, and wavelength determination based on experimental data.