X-ray Diffraction Grain Mapping with Polychromatic Divergent Beams
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Solution Overview
Problem
Current techniques for three-dimensional grain mapping of polycrystalline materials using X-ray diffraction are time-consuming and require significant processor capacity, especially when dealing with polycrystalline samples illuminated by monochromatic, parallel X-ray beams, which often result in overlapping diffraction spots and increased data processing complexity.
Innovation Solution
A method utilizing a divergent polychromatic X-ray beam to induce a high number of diffractions, allowing for faster data acquisition and processing by detecting line-shaped segments instead of traditional diffraction spots, and reconstructing a three-dimensional model of the polycrystalline material sample through iterative testing and voxel discretization, with a processing device associating crystallographic orientations to these segments.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If monochromatic parallel X-ray beams are used for three-dimensional grain mapping, then measurement precision is maintained, but data acquisition time increases and processing complexity increases
Solution Approach 1:
The patent changes the X-ray beam parameters from monochromatic parallel to polychromatic divergent. This parameter change allows simultaneous satisfaction of Bragg diffraction conditions for multiple wavelengths and angles, dramatically increasing the number of diffraction events captured per image and reducing the total number of images needed for three-dimensional grain mapping.
Solution Approach 2:
The patent transitions from detecting traditional diffraction spots to detecting line-shaped diffraction segments. This dimensional change in the detected feature provides additional information about grain orientations and positions, enabling more efficient reconstruction with fewer images while maintaining measurement precision.
2Measurement precision
If monochromatic parallel X-ray beams are used, then diffraction spots are clearly detected, but the number of images required for complete grain mapping increases
Solution Approach 1:
By using polychromatic divergent X-ray beams, the patent increases the probability of satisfying Bragg diffraction conditions across multiple wavelengths and incident angles simultaneously. This generates a higher number of diffraction events per image, improving productivity without sacrificing detection accuracy through the line-shaped segment detection method.
Solution Approach 2:
The patent performs preliminary discretization of the three-dimensional model into voxels and pre-calculates expected diffraction patterns for each voxel. This preliminary action enables efficient comparison and matching with actual diffraction data, reducing the number of images needed while maintaining accurate grain mapping.
3Device complexity
If traditional diffraction spot detection is used, then data processing is straightforward, but overlapping spots increase processing complexity
Solution Approach 1:
The patent detects line-shaped diffraction segments instead of traditional point-like spots. This dimensional change from zero-dimensional spots to one-dimensional line segments provides additional geometric information about grain orientations and positions, enabling better discrimination of overlapping diffraction features and reducing information loss.
Solution Approach 2:
The patent pre-calculates expected diffraction patterns for each voxel and performs preliminary discretization of the three-dimensional model. This preliminary action creates a reference framework that simplifies the matching process with actual diffraction data, reducing processing complexity even when dealing with overlapping patterns.
4Productivity
If polychromatic divergent X-ray beams are used, then data acquisition speed increases, but beam geometry complexity increases
Solution Approach 1:
The patent uses polychromatic divergent X-ray beams to dramatically increase data acquisition speed by capturing multiple diffraction events per image. The processing device handles the resulting data complexity through automated voxel-based discretization and pattern matching algorithms, effectively managing beam geometry complexity while maintaining high productivity.
5Loss of time
If fewer images are used for grain mapping, then processing time decreases, but data robustness against noise may be reduced
Solution Approach 1:
The detection of line-shaped segments instead of spots provides additional geometric constraints (position and length) that enhance data robustness. This dimensional enrichment allows reliable grain reconstruction with fewer images by providing more information per diffraction event, maintaining reliability while reducing processing time.
Solution Approach 2:
The patent performs preliminary discretization into voxels and pre-calculates expected diffraction patterns, creating a robust framework for data interpretation. This preliminary action enables reliable grain mapping with fewer images by establishing a structured approach to matching diffraction data with model predictions.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
This approach significantly reduces the number of images required for data acquisition and processing, providing robust data even with noise, and allows for faster determination of grain positions and orientations, thus enhancing the efficiency of three-dimensional grain mapping.
Implementation Method 1
an X-ray source provides a polychromatic X-ray beam in a beam path, in which beam path the polychromatic X-ray beam is divergent... an X-ray detector detects a plurality of diffracted X-ray beams leaving the crystalline material sample
Implementation Method 2
diffraction of X-rays by a crystal occurs when Bragg's equation is fulfilled, λ=2*d*sin θ, where λ is the wavelength of the X-ray, d is the spacing of the crystal lattice planes causing diffraction, and θ (called the Bragg angle) is the angle between the X-Ray beam and the lattice plane
Data Source
AI summary
An X-ray diffraction method of mapping grain structures in a polycrystalline material sample, where an X-ray detector detects spots or line-shaped segments from beams diffracted from at least some of the grains. A processing device analyzes values received from the X-ray detector and identifies at least the position of the spots or line-shaped segments. The processing device discretizes an initial three-dimensional model of the polycrystalline material sample into voxels and reconstructs the grains in the model by iterative testing associating crystallographic orientations of the voxels to the detected spots or line-shaped segments.