Question

In the powder diffraction pattern of the molecular sieve Zeolite A using Cu Ka radiation (λ=1.54 A), the four reflections with the lowest non-zero values of 2θ were 7.18°,10.14°,12.43°, and 16.07°.

(a) Calculate the d-spacings for the above four reflections.

Answer 1

The d-spacing can be calculated using the Bragg equation: d = λ / (2 sin(θ)). we can use the Bragg equation with the given values of θ and λ. For the first reflection with θ = 7.18° and λ = 1.54 A, we have: d = 1.54 A / (2 sin(7.18°)) Using the same formula, the d-spacings for the other three reflections can be calculated.

Step-by-step explanation:

The d-spacing is the distance between the crystal planes that give rise to a particular diffraction pattern. It can be calculated using the Bragg equation: d = λ / (2 sin(θ)) Where d is the d-spacing, λ is the wavelength of the X-rays, and θ is the diffraction angle. To calculate the d-spacing for the given reflections, we can use the Bragg equation with the given values of θ and λ. For the first reflection with θ = 7.18° and λ = 1.54 A, we have: d = 1.54 A / (2 sin(7.18°)) Using the same formula, the d-spacings for the other three reflections can be calculated.

d-spacing can be calculated using the Bragg equation: d = λ / (2 sin(θ)). we can use the Bragg equation with the given values of θ and λ. For the first reflection with θ = 7.18° and λ = 1.54 A, the d-spacing, λ is the wavelength of the X-rays, and θ is the diffraction angle. To calculate the d-spacing for the given reflections, we have: d = 1.54 A / (2 sin(7.18°)) Using the same formula, the d-spacings for the other three reflections can be calculated.