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An empirical correction for absorption anisotropy

¹Medical Foundation of Buffalo, New York 14203.

Acta Crystallographica. Section A, Foundations of Crystallography

|January 1, 1995

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This study introduces a least-squares method for modeling transmission surfaces using symmetry-equivalent intensity data. The technique utilizes spherical harmonic functions to accurately represent the empirical data.

Area of Science:

Crystallography
Materials Science
Data Analysis

Background:

Empirical transmission surfaces are crucial for understanding material properties.
Existing methods may not fully utilize symmetry-equivalent intensity measurements.
Accurate surface modeling requires robust analytical procedures.

Purpose of the Study:

To develop a least-squares procedure for modeling empirical transmission surfaces.
To incorporate symmetry-equivalent and azimuth rotation-equivalent intensity data.
To apply spherical harmonic functions for surface representation.

Main Methods:

A least-squares fitting procedure was employed.
Fitting functions involved sums of real spherical harmonic functions of even order.

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Direction vectors of incident and scattered beams were used as arguments.

Main Results:

The procedure effectively models empirical transmission surfaces.
The method leverages symmetry-equivalent intensity measurements.
Calculations were validated against standard absorption test data.

Conclusions:

The described least-squares procedure provides a robust method for transmission surface modeling.
The use of spherical harmonics offers a flexible and accurate approach.
This technique enhances the analysis of crystallographic intensity data.