software, X-ray diffraction, DIFFRAC.SUITE


Texture analysis workflow

1. Data import and sample definition

The generation of pole figures from measured data has never been easier. DIFFRAC.TEXTURE can import data measured with 0D, 1D or 2D detectors and instantly create pole figures with single click operation either from selected angular regions (1D) or directly from 2D frame stacks via a single frame-cursor selection.

DIFFRAC.TEXTURE comes with a comprehensive crystal structure database that allows linking of pole figures to the corresponding hkl reflections with the least effort. Overlapping signals from different phases can be easily assigned to facilitate data analysis.

2. Pole figure analysis

DIFFRAC.TEXTURE features two complementary and powerful analysis methods that deliver accurate and reliable results:

  • The model-independent Spherical Harmonics method directly calculates the Orientation Distribution Function (ODF) from pole figures with a single mouse-click.
  • The Component method is a model-based approach that fits a set of texture components to the pole figures using fast and robust least-squares optimization.

3. Texture representation

DIFFRAC.TEXTURE includes powerful tools and options for a more detailed analysis of the obtained textures:

  • ODFs can be computed and represented in 3D or as a set of 2D sections.
  • Inverse pole figures along the surface normal, in-plane rolling and transverse directions.
  • 3D visualization of the individual texture components to support a better understanding of their orientation.
  • Pie-chart representation of the components’ volume fractions, including the isotropic content.
Data import and pole figure generation
Data import and pole figure generation
Texture analyses of pole figures
Texture analyses of pole figures
Texture representation via ODF
Texture representation via ODF

Two approaches to texture analysis

Spherical Harmonics method

DIFFRAC.TEXTURE - Spherical Harmonics method
2D representation of the Orientation Distribution Function obtained with the Spherical Harmonics method

The Spherical Harmonics method is a model-free approach and the method of choice if the orientation distribution function is of primary interest.

The ODF is directly calculated from a series expansion of the measured pole figures using a set of special functions defined on the surface of a sphere – the generalized spherical harmonics.

The advantage of the method is that it provides texture results in form of the ODF in a fast and simple way without requiring much prior sample knowledge.

Component method

DIFFRAC.TEXTURE - Component method
DIFFRAC.TEXTURE - Texture analysis using the Component method

The Component method is a model-based approach: The texture is modelled by a set of components that describe the orientation, crystal and process symmetry of a part of the sample [1]. From these texture components the corresponding pole figures are calculated.

The parameters of the components are then refined by fitting the simulated pole figures against the measured ones using robust least-squares optimization.

The Component method provides a deeper insight into the texture: the process symmetry of a texture component links the manufacturing and processing of the sample to the measured pole figures.