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Prove that it is not possible to determine both wavelength of incident radiation and spacing of reflecting planes in a crystal by measuring the Bragg angles for several orders.

Short Answer

Expert verified

It is proved that it is not possible to determine the wavelength of the incident radiation and spacing of reflecting plane.

Step by step solution

01

Define the Bragg’s law

For the X- ray is incident on the crystal surface, then the angle of the incident is equal to angle of scattering and constructive interference will occur.

The Bragg鈥檚 law is used to calculate the coherent and incoherent scattering of the crystal.

02

Prove that it is not possible to determine wavelength and spacing of reflecting plane. 

Let assume is the wavelength of incident radiation and dis the spacing between the reflecting.

According to the Bragg鈥檚 law write the equation as:

2dsin=m

Here, mis the order number and is the Bragg鈥檚 angle.

From the above, if there are two values mand , then we can鈥檛 calculate the value of dand until we would have the second equation to solve for the two unknown.

Hence it is proved that it is not possible to determine the wavelength of the incident radiation and spacing of reflecting plane.

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