(a) A beam of electrons is accelerated by a voltage of 180 V in a Davisson-Germer experi- ment. The electron beam is incident on the surface of a monocrystalline cobalt crystal oriented at 90° to the beam direction. A second-order beam is observed at 43.5°. What is the interatomic spacing of atoms in the cobalt crystal lattice?
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- A photon with a wavelength of 500 nm hits a molecule, and transfers some energy to themolecule before it leaves (through a process is called Raman scattering). If the photon leaveswith a wavelength of 530 nm, how much energy (in cm-1) did the photon transfer to themolecule?For your work in a mass spectrometry lab, you are investigating the absorption spectrum of one-electron ions. To maintain the atoms in an ionized state, you hold them at low density in an ion trap, a device that uses a configuration of electric fields to confine ions. The majority of the ions are in their ground state, so that is the initial state for the absorption transitions that you observe. (a) If the longest wavelength that you observe in the absorption spectrum is 13.56 nm, what is the atomic number Z for the ions? (b) What is the next shorter wavelength that the ions will absorb? (c) When one of the ions absorbs a photon of wavelength 6.78 nm, a free electron is produced. What is the kinetic energy (in electron volts) of the electron?A light wave of a particular frequency hits a metal. The light wave is made of discrete photons, each with energy hf = hc/λ. An electron will either completely absorb a photon, or not at all. An electron in a metal needs an energy to leave the metal -- the work function (W). For the W given, calculate the maximum light wavelength (in nm) that will eject an electron. I will use electron-volts (eV) for energy, because the computer gives me trouble with very low numbers. hc = 1240 eV nm W = 3.9 eV
- A series of experiments by Clinton Davisson and Lester Germer in the 1920s gave a clear indication of the wave nature of matter. The investigators scattered a relatively low energy electron beam from a nickel crystal. They found very strong reflections at certain angles that varied with the energy of the electron beam. The strong reflections were analogous to those observed in x-ray diffraction. The angles at which the intensity of the reflected beam peaks agreed with the Bragg condition if the electrons wereassumed to have a wavelength given by the de Broglie formula. This was conclusive experimental proof of the wave nature of the electron. Davisson and Germer used an electron beam that was directed perpendicular to the surface, as shown. They observed a particularly strong reflection, corresponding to m = 1 in the Bragg condition, at φ = 50°. At this angle, the spacing between the scattering planes was d = 0.091 nm. What is the de Broglie wavelength of electrons in the beam?A. 0.077…A material has a mass attenuation coefficient of 0.35 cm²/g (for a given photon energy) and has a density of 1 g/cm³. What is the thickness of the Half-Value Layer (HVL) of this material? (Note: the Half-Value Layer is the material thickness required to reduce an incident beam intensity by a factor of two).