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Crystal diffraction experiments can be performed using X-rays, or electrons accelerated through appropriate voltage. Which probe has greater energy? (For quantitative comparison, take the wavelength of the probe equal to 1 Å, which is of the order of inter-atomic spacing in the lattice) (me=9.11 × 10–31 kg).

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An X-ray probe has a greater energy than an electron probe for the same wavelength. Wavelength of light emitted from the probe, λ = 1 Å = 10−10 m Mass of an electron, me = 9.11 × 10−31 kg Planck’s constant, h = 6.6 × 10−34 Js Charge on an electron, e =...
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An X-ray probe has a greater energy than an electron probe for the same wavelength. Wavelength of light emitted from the probe, λ = 1 Å = 10−10 m Mass of an electron, me = 9.11 × 10−31 kg Planck’s constant, h = 6.6 × 10−34 Js Charge on an electron, e = 1.6 × 10−19 C The kinetic energy of the electron is given as: Where, v = Velocity of the electron mev = Momentum (p) of the electron According to the de Broglie principle, the de Broglie wavelength is given as: Energy of a photon, Hence, a photon has a greater energy than an electron for the same wavelength. read less
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