Understanding Bragg's Equation

This video tutorial explains Bragg's equation, its derivation, and application in solving problems related to x-ray diffraction. It covers the calculation of interspace distances between atomic layers using x-ray wavelengths and angles of reflection. The tutorial includes step-by-step derivations and practical examples to illustrate the use of Bragg's equation in determining atomic plane distances and x-ray wavelengths.

What is the primary purpose of Bragg's Equation?

• To calculate the speed of light

• To determine the distance between layers of atoms

• To measure the temperature of a crystal

• To find the mass of an atom

In the context of Bragg's Equation, what does the angle theta represent?

• The angle of refraction

• The angle of incidence

• The angle between two parallel lines

• The angle of reflection

What is the relationship between the extra distance traveled by the wave and the wavelength in Bragg's Equation?

• The extra distance is unrelated to the wavelength

• The extra distance is a multiple of the wavelength

• The extra distance is equal to the wavelength

• The extra distance is half the wavelength

How is the sine of angle theta used in the derivation of Bragg's Equation?

• It is used to measure the angle of incidence

• It is used to determine the distance between atomic layers

• It is used to find the wavelength

• It is used to calculate the speed of the wave

What is the formula for Bragg's Equation?

• 2d sin(theta) = n * lambda

• d cos(theta) = n * lambda

• d sin(theta) = n * lambda

• 2d cos(theta) = n * lambda

In a problem involving first-order diffraction, what is the value of n?

• 3

• 2

• 0

• 1

If the wavelength is given in angstroms, what unit will the distance d be in?

• Meters

• Nanometers

• Angstroms

• Picometers

What is the x-ray wavelength needed to produce a reflection at 19.5 degrees with a spacing of 94.3 picometers?

• 62.96 picometers

• 94.3 picometers

• 209 picometers

• 125 picometers

How do you convert a distance from angstroms to picometers?

• Divide by 100

• Multiply by 10

• Divide by 10

• Multiply by 100

What angle will result in a reflection if the interplanar spacing is 1.28 angstroms and the wavelength is 122 picometers?

• 72.38 degrees

• 60 degrees

• 90 degrees

• 45 degrees