Abstract

Accurate and high reciprocal resolution experimental structure factors of aluminum were determined from a synchrotron powder X-ray diffraction data measured at 30 K with sin θ/λ < 2.31 Å−1. The structure factors have small deviations from independent atom model in sin θ/λ < 0.83 Å−1. Theoretical structure factors were prepared using density functional theoretical calculations by full potential linearized augmented plane wave method. The deviation between experimental and theoretical data was also observed at around sin θ/λ ≈ 0.4 Å−1. The charge density was determined by an extended Hansen-Coppens multipole modeling using experimental and theoretical structure factors. Charge density maxima at tetrahedral site were observed in both experimental and theoretical deformation density. The charge-density difference peaks indicating directional bonding formation were observed in the difference density between experiment and theory. The present study reveals tight binding like character of valence electron of aluminum. The fact will provide a crucial information for development of high-performance aluminum alloy.

Highlights

  • Metal is one of the oldest materials used in human history

  • We found thermal effects could be negligible in low temperature data below 100 K

  • The powder profiles were analyzed by the combination of Rietveld refinement and multipole refinement

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Summary

Introduction

Metal is one of the oldest materials used in human history. We would like to know an origin of function of metal for a long time. High quality charge-density distributions of metal by the theoretical calculation were used for the estimation of mechanical properties. Charge density studies of metal have been carried out for more than 40 years using X-ray diffraction (XRD). These facts prohibit to measure the high-quality diffraction data for charge density study.

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