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Difference between revisions of "Bragg diffraction"

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[[File:Bragg-measured.png|400px|frameless|center|Figure 1. Measurement of Bragg difraction]]
[[File:Bragg-measured.png|400px|frameless|center|Figure 1. Measurement of Bragg difraction]]


The results of the measurement are shown in Figure 1 (above). We can identify clearly six peaks at 12$^{\circ}$, 20$^{\circ}$, 24$^{\circ}$, 31$^{\circ}$, 47$^{\circ}$ and 59$^{\circ}$. Considering that the wavelength of the source used to measure the diffraction is $\lambda=2.85\,\mathrm{cm}$, we obtain the following values for the interplane distance $d$:
The results of the measurement are shown in Figure 1 (above). We can identify clearly six peaks at $12^{\circ}$, $20^{\circ}$, $24^{\circ}$, $31^{\circ}$, $47^{\circ}$ and $59^{\circ}$. Considering that the wavelength of the source used to measure the diffraction is $\lambda=2.85\,\mathrm{cm}$, we obtain the following values for the interplane distance $d$:


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Revision as of 18:38, 4 November 2020


Introduction

Procedure

Results & analysis

Figure 1. Measurement of Bragg difraction

The results of the measurement are shown in Figure 1 (above). We can identify clearly six peaks at $12^{\circ}$, $20^{\circ}$, $24^{\circ}$, $31^{\circ}$, $47^{\circ}$ and $59^{\circ}$. Considering that the wavelength of the source used to measure the diffraction is $\lambda=2.85\,\mathrm{cm}$, we obtain the following values for the interplane distance $d$:

Peak position ($^{\circ}$) Diffraction order ($n$) $d$
12 1 (6.12 $\pm$ 0.25)
20 1 (3.77 $\pm$ 0.09)
24 1 (3.17 $\pm$ 0.06)
31 1 (2.50 $\pm$ 0.03)
47 2 (3.53 $\pm$ 0.03)
59 2 (3.01 $\pm$ 0.02)

The actual separation between planes is $(3.80 \pm 0.05)\,\mathrm{cm}$, from which we can conclude that the peaks at 20$^{\circ}$ and at 47$^{\circ}$ correspond to the first and second diffraction orders of the planes. The other peaks, therefore, must be due to reflections with other planes of the crystal.

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