X-ray Diffraction Grain Mapping Using 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 complex samples illuminated by monochromatic or parallel X-ray beams, and face challenges with overlapping diffraction spots and grain orientation determination.
Innovation Solution
A method utilizing a divergent polychromatic X-ray beam to generate a high number of diffractions quickly, allowing for faster data acquisition and processing, where a processing device analyzes line-shaped segments from diffracted beams to reconstruct a three-dimensional model of the polycrystalline material by discretizing the sample into voxels and associating crystallographic orientations, reducing the need for extensive image processing.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If monochromatic or parallel X-ray beams are used for three-dimensional grain mapping, then measurement precision is improved, but productivity deteriorates due to time-consuming data acquisition and significant processor capacity requirements
Solution Approach 1:
The patent changes the parameters of the X-ray beam from monochromatic/parallel to polychromatic/divergent. This parameter change allows simultaneous satisfaction of Bragg's law for multiple wavelengths and angles, generating numerous diffraction spots that provide comprehensive grain orientation information while accelerating data acquisition and reducing processing requirements
Solution Approach 2:
The patent introduces an additional dimension by using polychromatic X-rays with a continuous spectrum of wavelengths. This allows diffraction to occur at multiple wavelengths simultaneously, creating a three-dimensional diffraction pattern (position, intensity, and wavelength) that enriches the information content and improves both precision and efficiency
2Productivity
If polychromatic divergent X-ray beams are used to increase data acquisition speed, then productivity is improved, but difficulty of detecting and measuring increases due to overlapping diffraction spots
Solution Approach 1:
The patent utilizes the wavelength dimension provided by polychromatic X-rays to separate overlapping diffraction spots. Each diffraction spot is characterized by its position, intensity, and wavelength, allowing the system to resolve overlaps by distinguishing spots at different wavelengths, thereby maintaining measurement clarity while improving data acquisition speed
Solution Approach 2:
The patent creates multiple copies of diffraction information at different wavelengths and positions. By analyzing the pattern of replicated diffraction spots across the detector, the system can identify and separate overlapping signals through their unique wavelength-position signatures, simplifying the analysis of complex diffraction patterns
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 enables faster data acquisition and processing of three-dimensional grain structures with reduced noise robustness, requiring fewer images to determine the model, and simplifies data handling by analyzing unique line-shaped segments rather than overlapping diffraction spots, improving the efficiency and precision of grain orientation determination.
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*sinθ, 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
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AI summary
An X-ray diffraction method of mapping grain structures in a polycrystalline material sample (3), where an X-ray detector detects (12) spots or substantially line-shaped segments (13a-f) from beams diffracted from at least some of the grains. A processing device analyses values received from the X-ray detector (12) and identifies at least the position of spots or the line-shaped segments to generate a 3D model of the polycrystalline material. The line-shaped segments are paired as originating from diffractions from the same grain and the positions of the paired line-shaped segments are used in determining the crystallographic grain position of this grain within in the polycrystalline material sample. The length of the paired line-shaped segments is used in determining a width of this grain.