Answer to Question #106432 in Quantum Mechanics for Nikita Koladiya

Question #106432
A photon and an electron each have an energy of .eV100.63 What are their wavelengths? Which of these would you use to probe atomic structures?
1
Expert's answer
2020-03-25T11:00:03-0400

Suppose that "E=100.63 keV"


For electron


"\\lambda_e=\\frac{h}{mv}=\\frac{h}{\\sqrt{{2mE}}}=\\frac{6.62\\cdot10^{-34}}{\\sqrt{{2\\cdot 9.11\\cdot10^{-31}\\cdot 1.6\\cdot10^{-19}\\cdot100630}}}="


"=3.86\\cdot10^{-12}m=3.86pm"


For proton


"\\lambda_p=\\frac{h}{mv}=\\frac{h}{\\sqrt{{2mE}}}=\\frac{6.62\\cdot10^{-34}}{\\sqrt{{2\\cdot 1.67\\cdot10^{-27}\\cdot 1.6\\cdot10^{-19}\\cdot100630}}}="


"=9.03\\cdot10^{-14}m\\approx0.09pm"


I would use electrons to probe atomic structures.








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