Spatial correlation functions of paracrystals with radial symmetry

Huang, Guan-Rong; Wang, Yangyang; Do, Changwoo; Chen, Wei-Ren

doi:10.1103/physreve.102.032110

Spatial correlation functions of paracrystals with radial symmetry

Journal Article · Tue Sep 08 00:00:00 EDT 2020 · Physical Review. E

DOI:https://doi.org/10.1103/physreve.102.032110· OSTI ID:2538520

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Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Center for Nanophase Materials Sciences (CNMS)

Here, we develop a phenomenological model to describe the structure of radially symmetric paracrystals whose long-range order are destroyed by propagation of particle fluctuations. General expressions are derived for the spatial correlation functions in one-, two-, and three-dimensional spaces. And the spatial correlation in paracrystals in reciprocal space is further discussed and clarified. The developed method can be used to quantitatively analyze the microstructure of paracrystalline materials in both real and reciprocal spaces via scattering experiments and computer simulations.

View Accepted Manuscript (DOE)

Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities (SUF); USDOE Laboratory Directed Research and Development (LDRD) Program

Grant/Contract Number:: AC05-00OR22725

OSTI ID:: 2538520

Journal Information:: Physical Review. E, Journal Name: Physical Review. E Journal Issue: 3 Vol. 102; ISSN 2470-0045

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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