X-rays with a wavelength of 0.0711 nm create a diffraction pattern when they pass through a...

Question

Question

X-rays with a wavelength of 0.0711 nm create a diffraction pattern when they pass through a...

X-rays with a wavelength of 0.0711 nm create a diffraction pattern when they pass through a protein crystal.

Part A

If the angular spacing between adjacent bright spots (m=0 and m=1) in the diffraction pattern is 31.9 ∘, what is the average spacing between atoms in the crystal?

science physics

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

Solution:

Given:

Wavelength () = 0.0711 nm = 0.0711 x 10^-9 m

Angular separation () = 31.9^o

Let, the average spacing between atoms in the crystals be : d.

for the angular spacing between adjacent bright spot : d sin =

d = / sin = (0.0711 x 10^-9 m) / sin(31.9) = 1.345 x 10^-10 m

Therefore: the angular spacing between adjacent bright spot is 1.345 x 10^-10 m.

Add a comment

Answer 2

Similar Homework Help Questions

X-rays with a wavelength of 0.0711 nm create a diffraction pattern when they pass through a...

X-rays with a wavelength of 0.0711 nm create a diffraction pattern when they pass through a protein crystal Part A If the angular spacing between adjacent bright spots ( mand m-1) in the diffraction pattem is 329, what is the average spacing between atoms in the crystal HA ? Value Units Sum Restas
Item 3.5 X-rays with a wavelength of 0.0711 nm create a diffraction pattern when they pass...

Item 3.5 X-rays with a wavelength of 0.0711 nm create a diffraction pattern when they pass through a protein crystal. Part A If the angular spacing between adjacent bright spots (m=0 and m=1) in the diffraction pattern is 35.9 ∘, what is the average spacing between atoms in the crystal?
Suppose you want to produce a diffraction pattern with X-rays whose wavelength is 0.030 nm ....

Suppose you want to produce a diffraction pattern with X-rays whose wavelength is 0.030 nm . Part A If you use a diffraction grating, what separation between lines is needed to generate a pattern with the first maximum at an angle of 15 ∘ ? (For comparison, a typical atom is a few tenths of a nanometer in diameter.) ??? nm

1. When monochromatic radiation of wavelength 0.0711 nm is incident on a metal with BCC crystal...

1. When monochromatic radiation of wavelength 0.0711 nm is incident on a metal with BCC crystal structure, the first order angle of diffraction takes place at 27° for the (330) set of planes. (a) Determine the interplanar spacing (in nanometers) for this set of planes b) Calculate the atomic radius (in nanometers) for this atom.
Light with a wavelength, 1 = 682 nm forms a diffraction pattern after passing through a...

Light with a wavelength, 1 = 682 nm forms a diffraction pattern after passing through a single-slit of width, a = 54 um. Find the angle associated with the tenth dark fringe above the central bright fringe. O A.0.569° O B.2.36° OC.7.26° O D.8.59° O E.0.1 26° QUESTION 10 How will the number of the bright lines change if the green laser will be replaced with a red laser of longer wavelength? O A The replacement will not affect the...
X-rays of wavelength 0.0983nm are directed at an unknown crystal. The second diffraction maximum is recorded...

X-rays of wavelength 0.0983nm are directed at an unknown crystal. The second diffraction maximum is recorded when the X-rays are directed at an angle of 23.7 degrees relative to the crystal surface. What is the spacing between crystal planes?

X rays with a wavelength of 0.18 nm undergo first-order diffraction from a crystal at a...

X rays with a wavelength of 0.18 nm undergo first-order diffraction from a crystal at a 52 ∘ angle of incidence. At what angle does first-order diffraction occur for x rays with a wavelength of 0.10 nm ?
Particle diffraction experiments have been done with various particles. The particle produce a pattern on a...

Particle diffraction experiments have been done with various particles. The particle produce a pattern on a screen; the pattern is centered about the direction in which the particles approached the diffraction grating. A beam of carbon-60 molecules (each contains 60 carbon molecules) is sent through a diffraction grating; the spacing between adjacent slits is 100 nm. The mass of each molecule is 1.20× 10−24 kg and the speeds with which they approached the grating is 220 m/s. Determine the angles...
Constants Coherent electromagnetic waves with wavelength pass through a narrow slit of width a. The diffraction...

Constants Coherent electromagnetic waves with wavelength pass through a narrow slit of width a. The diffraction pattern is observed on a tall screen that is 2.00 m from the slit. When = 500 nm, the width on the screen of the central maximum in the diffraction pattern is 8.00 mm. Part A For the same slit and screen, what is the width of the central maximum when = 0.125 mm? Express your answer with the appropriate units. BA μΑ ?...

495 nm laser light falls on a diffraction grating and forms an interference pattern on a...

495 nm laser light falls on a diffraction grating and forms an interference pattern on a wall 0.98 m behind the grating. The third bright spot is 1088 mm from the central bright spot. a) What is the spacing between the lines in the grating? d = μm b) How many lines per mm is this? lines/mm = c) If the grating were illuminated instead with a red 625 nm laser, what would be the distances to the first five...

X-rays with a wavelength of 0.0711 nm create a diffraction pattern when they pass through a...

Homework Answers

Add Answer to:
X-rays with a wavelength of 0.0711 nm create a diffraction pattern when they pass through a...

Post as a guest

Earn Coins