The High-Resolution Powder Diffractometer, beamline BT-1 at the National Institu

Question

The High-Resolution Powder Diffractometer, beamline BT-1 at the National Institute for Standards and Technology (NIST), uses neutrons with a frequency of 1.44 times 10^18 s^-1. The mass of a neutron is 1 .67 times 10^-27 kg. Calculate the wavelength and velocity of the neutrons used in this experiment. Calculate the energy of the neutrons used in this experiment. Suppose these types of experiments can resolve structural details on length scales that are close to the wavelength of the radiation used. Based on your answer to part (a), can this beamline reveal structural details on a molecular level?

Explanation / Answer

E = h*f , where h = planck's constant = 6.626*10-34 , f = frequency

E = 9.54*10-16 J

Also, E = 0.5*m*v2 , where m is mass and v is velocity

Putting values , v = 1.069*106 m/s

wavelength, d = h/mv = 3.711*10-13 m

Since wavelength is coming in pico meter range, this experiment is suitable for conducting experimets at molecular level.

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