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Q: A crystal has an interplanar spacing of 98.2 pm. Using first order diffraction, what is the X-ray wavelength required to produce a reflection with an angle of 17.5 degrees?

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Protein structure determination is basically crystallography i.e. finding out the arrangements of atoms. This technique uses Diffraction maxima and minima to determine 3D structures. For diffraction to occur, the size of the obstacle must be close to the wavelength of light used. Since the obstacles in this case are molecules, we use X rays, whose wavelength is comparable to radius of molecules.

Waves have to bend around an obstacle.

the period.

To get the required wavelength of light

The Period

Simply using the relation wavelength = velocity / frequency So required wavelength = 25/5 = 5 m

The Period

The Period

Wavelength also increases proportionally. Reasoning: Relevant equation- v= f x wavelength therefore speed is directly proportional to wavelength, and so as speed increases, the wavelength would increase proportionally. hope this helps if more information is required, email me @ physicsisland@hotmail.com

reflection just means the mirror image. in the coordinate system just reflect the graph across the given axis that y ou are required.

Speed = frequency x wavelength So required speed = 0.5 * 1 = 0.5 m/s Problem is that the wavelength is not given, but I have taken as 1 m for granted. Hence the answer

Wavelength = velocity of sound in the medium / frequency Here velocity is not given. Let it be 330 m/s So required wavelength = 330/440 = 3/4 = 0.75 m

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