Exploring the labyrinth of light: multiple Bragg Diffraction phenomena in face-centered cubic photonic crystals

Abstract

This work presents the outcomes of an experimental study aimed at exploring electron diffraction phenomena within a controlled environment. The experiment involved measuring the radii of diffraction rings produced under varying acceleration voltages, with a focus on the first-order ring. Unexpectedly, the observed values were half of the anticipated results, raising questions about the accuracy of the measurements. The analysis revealed that the measured value of d₁ closely resembled the theoretical value of d₂, suggesting a potential oversight of the first diffraction ring, possibly due to its diminutive size. The high brightness of the incident light further complicated the measurement process. Accounting for the possibility of overlooking the first diffraction ring, the derived values for d₂ (128.24±33.26 pm) and d₃ (70.00±5.21 pm) were compared to theoretical values (123 pm and 80 pm, respectively). Despite the challenges, the experimental results fell within an acceptable range, considering the inherent uncertainties. To mitigate errors in radii measurement, the article suggests the implementation of an automated system and recommends a thorough reassessment of experimental setup configurations to optimize conditions for more accurate measurements. The findings highlight the importance of methodological refinement to enhance precision and reliability in electron diffraction studies. This work contributes valuable insights to the field and underscores the continuous need for advancements in experimental techniques.