Q70P In Fig. 36-47, first-order refle... [FREE SOLUTION]

Chapter 36: Q70P (page 1113)

In Fig. 36-47, first-order reflection from the reflection planes shown occurs when an x-ray beam of wavelength $0.260 n m$ makes an angle $胃 = 63.8 掳$ with the top face of the crystal. What is the unit cell size $a_{0}$ ?

Short Answer

Expert verified

The unit cell distance is $0.570 鈥� nm$ .

Step by step solution

Bragg’s law

Diffraction is a phenomena in which the interference or the bending of waves occurs around the corners of the opening or obstacle through or on which it strikes.

The diffraction formula is following,

$苍位 = 2 诲蝉颈苍胃位 = wavelength d = spacing 胃 = bragg angle n = order of diffraction$

Step 2: Identification of the given data

The wavelength is, $位 = 0.260 鈥� nm$ .

The angle is, $63.8 掳$ .

The angle of incidence on the reflection planes is, $胃 = 63.8 掳 - 45 = 18 . 8^{0}$ .

The order of diffraction is, $n = 1$ .

Step 3: The unit cell size

From the given figure it is clear that the relation following will be formed,

$d = \frac{a_{0}}{\sqrt{2}} a_{0} = \sqrt{2} d$

Now from the bragg鈥檚 law,

$\sqrt{2} d = \frac{\sqrt{2} n 位}{2 \sin 胃}$

Substitute all the value in the above equation.

$a_{0} = \frac{1 脳 0.260 鈥� nm}{\sqrt{2} 脳 \sin 18.8 掳} a_{0} = 0.570 鈥� nm$

So the unit cell distance is $0.570 nm$ .

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91影视

In Fig. 36-47, first-order reflection from the reflection planes shown occurs when an x-ray beam of wavelength $0.260 n m$ makes an angle $胃 = 63.8 掳$ with the top face of the crystal. What is the unit cell size $a_{0}$ ?

Short Answer

Step by step solution

Bragg’s law

Step 2: Identification of the given data

Step 3: The unit cell size

One App. One Place for Learning.

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91影视

In Fig. 36-47, first-order reflection from the reflection planes shown occurs when an x-ray beam of wavelength0.260nmmakes an angle胃=63.8掳 with the top face of the crystal. What is the unit cell sizea0?

Short Answer

Step by step solution

Bragg’s law

Step 2: Identification of the given data

Step 3: The unit cell size

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Geometrical and Physical Optics

Waves Physics

Linear Momentum

Particle Model of Matter

Dynamics

Kinematics Physics

Study anywhere. Anytime. Across all devices.

In Fig. 36-47, first-order reflection from the reflection planes shown occurs when an x-ray beam of wavelength $0.260 n m$ makes an angle $胃 = 63.8 掳$ with the top face of the crystal. What is the unit cell size $a_{0}$ ?