In their study of X-ray diffraction, William and Lawrence Bragg determined that the relationship among the wavelength of the radiation 1l2, the angle at which the radiation is diffracted 1u2, and the distance between planes of atoms in the crystal that cause the diffraction (d) is given by nl = 2d sin u. X rays from a copper X-ray tube that have a wavelength of 1.54 Å are diffracted at an angle of 14.22 degrees by crystalline silicon. Using the Bragg equation, calculate the distance between the planes of atoms responsible for diffraction in this crystal, assuming n = 1 (first-order diffraction).

Video transcript

Hi everyone. So in this question have an X ray diffraction analysis and it's found that the X ray from sodium chloride radiation source has a wavelength of 94 PICO meters. And the selected crystalline plane distracted the radiation at an angle of 25.9°. And assuming that this is second order diffraction, which means that n equals two. We need to use the black equation and calculate the spacing between the adjacent crystal planes. We call that the bag equation. It's in times a wavelength evil to to that was the distance between the latest planes. Times sine of data. And that is an incident angle. So now if you rearrange this is sulfur. D. You get deep end times the weight blend About about two times sine of data for our values for D. This is what we're looking for for N. This is too with data We have 194 PICO meters. For an angle There's 25.9°. Send off you plug in the values for D. We're gonna get to 194 km. Bye bye to I'm signed of 25.9°. They get 444 pickle meters. Thanks for watching my video and I hope it was helpful