PHYS 4801

Solid State Physics

Experiment 2

X-ray Bragg Diffraction Simulator

Visualize how X-rays scatter from parallel crystal planes and identify conditions for constructive interference.

Simulation Controls

Key Equations

Bragg's Law:

2d sin θ = nλ

Constructive interference occurs only when the path difference 2d sin θ equals an integer number of wavelengths.

Interference Diagram & Intensity Profile
Path Difference: 1.545 ÅCondition (nλ): 1.00
Task: Observing Bragg Peaks

Move the θ-slider slowly from 0° to 90°. Record the angles where intensity spikes sharply.

Order nθ observed
n = 115.8°
n = 233.1°
n = 355.0°
Teaching Connection

Bragg's law is an elegant example of wave physics. How would you explain to a Form 3 student why scientists use X-rays rather than light to study atoms? What everyday analogy would you use for constructive interference?

Reflection Questions
  1. As plane spacing (d) increases, does the first-order Bragg angle θ₁ increase or decrease? Why?
  2. At what wavelength (λ) does diffraction no longer occur for a spacing of 2.82 Å?
  3. Why does visible light (λ ≈ 500 nm) not work for crystal diffraction?