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Wave-packet numerical investigation of thermal diffuse scattering: A time-dependent quantum approach to electron
Samantha Rudinsky1, Angel S Sanz2, Raynald Gauvin1
1Department of Mining and Materials Engineering, McGill University, 3610 University, Montreal, Qc., Canada H3A 0C5.
Thermal diffuse scattering in electron diffraction is explained by combining phonon approximations with Schrödinger equation solutions. This method naturally shows how atomic vibrations reduce diffraction pattern coherence.
Area of Science:
- Solid State Physics
- Materials Science
- Quantum Mechanics
Background:
- Electron diffraction is sensitive to lattice vibrations.
- Thermal diffuse scattering (TDS) affects diffraction patterns.
- Coherent diffraction patterns degrade with increasing temperature.
Purpose of the Study:
- Investigate the impact of TDS on electron diffraction.
- Develop a computational method to model TDS effects.
- Explain the suppression of coherent diffraction features.
Main Methods:
- Combined frozen phonon approximation with time-dependent Schrödinger equation.
- Used Einstein's model for phonon configurations.
- Averaged over multiple electron diffraction events.
Main Results:
- Demonstrated gradual suppression of coherent diffraction features due to thermal incoherence.
- Showed increased lattice atomic vibrations reduce pattern coherence.
- Validated the method on reduced and full 3D systems.
Conclusions:
- The developed method accurately models TDS effects on electron diffraction.
- This approach offers an alternative to Debye-Waller factors for TDS.
- The simulation results align with experimental observations.
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