NOTICE: Due to a lapse in annual appropriations, most of this website is not being updated. Learn more.
Form submissions will still be accepted but will not receive responses at this time. Sections of this site for programs using non-appropriated funds (such as NVLAP) or those that are excepted from the shutdown (such as CHIPS and NVD) will continue to be updated.
An official website of the United States government
Here’s how you know
Official websites use .gov
A .gov website belongs to an official government organization in the United States.
Secure .gov websites use HTTPS
A lock (
) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.
The magnetic structure of bixbyite a-Mn2O3: a combined density functional theory DFT+U and neutron diffraction study
Published
Author(s)
Eric Cockayne, Igor Levin, Hui Wu, Anna Liobet
Abstract
First principles density functional theory DFT+U calculations and experimental neutron diffraction structure refinements were used to determine the low-temperature crystallographic and magnetic structure of bixbyite a-Mn2O3. The energies of various magnetic arrangements, calculated from first principles, were fit to a cluster-expansion model using a Bayesian method that overcomes a problem of underfitting caused by the limited number of input magnetic configurations. The model was used to predict the lowest-energy magnetic states. Experimental determination of magnetic structure benefited from optimized sample synthesis, which produced crystallite sizes large enough to yield a clear splitting of peaks in the neutron powder diffraction patterns, thereby enabling magnetic-structure refinements under the correct orthorhombic symmetry. The refinements employed group theory to constrain magnetic models. Computational and experimental analyses independently converged to similar ground states, with identical antiferromagnetic ordering along a principal magnetic axis and secondary ordering along a single orthogonal axis, differing only by a phase factor in the modulation patterns. The lowest-energy magnetic states are compromise solutions to frustrated antiferromagnetic interactions between certain corner-sharing MnO6 octahedra.
Cockayne, E.
, Levin, I.
, Wu, H.
and Liobet, A.
(2013),
The magnetic structure of bixbyite a-Mn2O3: a combined density functional theory DFT+U and neutron diffraction study, Physical Review B, [online], https://doi.org/10.1103/PhysRevB.87.184413, https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=912458
(Accessed October 15, 2025)