Theoretical Backscattered Intensity Profile Generation
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Solution Overview
Problem
Existing methods for calculating theoretical signatures of polycrystalline materials often result in ambiguities and artifacts, making it difficult to determine crystal orientations accurately, especially when intensity profiles from experimental and calculated signatures show similarities or differences.
Innovation Solution
A method involving three-dimensional modeling to generate theoretical signatures by creating a spherical atomic structure, assigning gray levels based on distance from the projection plane using a decay function, and projecting atoms to estimate intensities, which reduces ambiguities and artifacts by standardizing analysis depth and accounting for interaction levels.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Productivity
If 3D modeling projection method is used to generate theoretical signatures, then the calculation speed is improved, but ambiguities and artifacts increase making crystal orientation determination difficult
Solution Approach 1:
The patent changes the mathematical parameters of the projection method by introducing a decay function that weights atomic contributions based on their distance from the projection plane. This transforms the standard projection calculation into a distance-weighted projection, where closer atoms contribute more significantly to the intensity profile. This parameter change resolves the contradiction by maintaining computational efficiency while eliminating the ambiguities and artifacts that plague standard projection methods, thereby improving both calculation speed and orientation determination accuracy.
Solution Approach 2:
The patent replaces the direct geometric projection mechanism with a physics-inspired intensity decay model. Instead of simply projecting atomic positions onto a plane, the method substitutes the projection mechanism with an intensity calculation that decays with distance, similar to how physical signals attenuate in real materials. This substitution eliminates the mathematical artifacts inherent in pure geometric projection while maintaining the computational advantages of the modeling approach.
2Ease of manufacture
If standard projection method is used, then computational simplicity is maintained, but intensity profiles show numerous artifacts compared to experimental profiles
Solution Approach 1:
The patent modifies the projection calculation by introducing a decay parameter that controls how atomic intensity contributions decrease with distance from the projection plane. This parameter change transforms the computationally simple but inaccurate standard projection into a slightly more complex but highly accurate decay-weighted projection, resolving the contradiction between computational simplicity and profile accuracy.
3Measurement precision
If experimental measurement method is used to obtain theoretical signatures, then accuracy is improved, but time consumption increases significantly
Solution Approach 1:
The patent creates a computational copy of the experimental measurement process through 3D atomic modeling. Instead of physically measuring real crystals (time-consuming), the method creates virtual atomic models and projects them computationally. By incorporating the decay function, this computational copy reproduces experimental intensity profiles with high accuracy, thereby achieving experimental-level precision without the time penalty of physical measurements.
Data Source
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AI summary
The invention relates to a method for creating a theoretical signature of a crystalline material sample, the theoretical signature corresponding to a curve of theoretical backscattered intensities as a function of acquisition geometries, characterised in that the method comprises the following steps: modelling (10) a three-dimensional atomic structure of the sample, the structure comprising at least one crystal lattice and being contained in a volume having a symmetry of rotation such that the distance between a centre of the structure and the atoms (24) arranged at the periphery of the structure is substantially constant; then, for each acquisition geometry: positioning (20) the structure according to the desired acquisition geometry by moving the spherical structure relative to the projection plane; calculating (30) the projection of the atoms (24) of the structure in the projection plane in order to obtain a projection image; estimating (40) the backscattered intensity from the projection image; and generating the theoretical signature from a plurality of estimated theoretical backscattered intensities.