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In September 1983, the Atomic Resolution Microscope (ARM) was unveiled at Lawrence Berkeley Laboratory (LBL). As its name suggests, the ARM is an electron microscope designed to image individual atoms in solids. As originally built, the ARM used 1-MeV electrons, and could resolve objects as small as 1.4 Å. (a) Compute the Lorentz factor for 1-MeV electrons. (b) Compute the relativistic speed ratio for 1-MeV electrons. (c) Compute the wavelength of a l-MeV electron. (d) What spherical aberration coefficient would be required to achieve 1.4-Å resolution with 1-MeV electrons?

In September 1983, the Atomic Resolution Microscope (ARM) was unveiled at Lawrence Berkeley Laboratory (LBL). As its name suggests, the ARM is an electron microscope designed to image individual atoms in solids. As originally built, the ARM used 1-MeV electrons, and could resolve objects as small as 1.4 Å. (a) Compute the Lorentz factor for 1-MeV electrons. (b) Compute the relativistic speed ratio for 1-MeV electrons. (c) Compute the wavelength of a l-MeV electron. (d) What spherical aberration coefficient would be required to achieve 1.4-Å resolution with 1-MeV electrons?

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In September 1983, the Atomic Resolution Microscope (ARM) was unveiled at Lawrence Berkeley Laboratory (LBL). As its name suggests, the ARM is an electron microscope designed to image individual atoms in solids. As originally built, the ARM used 1-MeV electrons, and could resolve objects as small as 1.4 Å. (a) Compute the Lorentz factor for 1-MeV electrons. (b) Compute the relativistic speed ratio for 1-MeV electrons. (c) Compute the wavelength of a 1-MeV electron. (d) What spherical aberration coefficient would be required to achieve 1.4-Å resolution with 1-MeV electrons?
Transcribed Image Text:In September 1983, the Atomic Resolution Microscope (ARM) was unveiled at Lawrence Berkeley Laboratory (LBL). As its name suggests, the ARM is an electron microscope designed to image individual atoms in solids. As originally built, the ARM used 1-MeV electrons, and could resolve objects as small as 1.4 Å. (a) Compute the Lorentz factor for 1-MeV electrons. (b) Compute the relativistic speed ratio for 1-MeV electrons. (c) Compute the wavelength of a 1-MeV electron. (d) What spherical aberration coefficient would be required to achieve 1.4-Å resolution with 1-MeV electrons?
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