Tutorial on Chemical Pressure Analysis: How Atomic Packing Drives Laves/Zintl Intergrowth in K<sub>3</sub>Au<sub>5</sub>Tl

The tight atomic packing generally exhibited by alloys and intermetallics can create the impression of their being composed of hard spheres arranged to maximize their density. As such, the atomic size factor has historically been central to explanations of the structural chemistry of these systems....

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Main Authors: Erdong Lu, Jonathan S. Van Buskirk, Jingxiang Cheng, Daniel C. Fredrickson
Format: Article
Language:English
Published: MDPI AG 2021-07-01
Series:Crystals
Subjects:
Online Access:https://www.mdpi.com/2073-4352/11/8/906
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author Erdong Lu
Jonathan S. Van Buskirk
Jingxiang Cheng
Daniel C. Fredrickson
author_facet Erdong Lu
Jonathan S. Van Buskirk
Jingxiang Cheng
Daniel C. Fredrickson
author_sort Erdong Lu
collection DOAJ
description The tight atomic packing generally exhibited by alloys and intermetallics can create the impression of their being composed of hard spheres arranged to maximize their density. As such, the atomic size factor has historically been central to explanations of the structural chemistry of these systems. However, the role atomic size plays structurally has traditionally been inferred from empirical considerations. The recently developed DFT-Chemical Pressure (CP) analysis has opened a path to investigating these effects with theory. In this article, we provide a step-by-step tutorial on the DFT-CP method for non-specialists, along with advances in the approach that broaden its applicability. A new version of the CP software package is introduced, which features an interactive system that guides the user in preparing the necessary electronic structure data and generating the CP scheme, with the results being readily visualized with a web browser (and easily incorporated into websites). For demonstration purposes, we investigate the origins of the crystal structure of K<sub>3</sub>Au<sub>5</sub>Tl, which represents an intergrowth of Laves and Zintl phase domains. Here, CP analysis reveals that the intergrowth is supported by complementary CP features of NaTl-type KTl and MgCu<sub>2</sub>-type KAu<sub>2</sub> phases. In this way, K<sub>3</sub>Au<sub>5</sub>Tl exemplifies how CP effects can drive the merging for geometrical motifs derived from different families of intermetallics through a mechanism referred to as epitaxial stabilization.
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spelling doaj.art-6a8003bf38cc4bd7b0332f9f815b4ec82023-11-22T07:16:38ZengMDPI AGCrystals2073-43522021-07-0111890610.3390/cryst11080906Tutorial on Chemical Pressure Analysis: How Atomic Packing Drives Laves/Zintl Intergrowth in K<sub>3</sub>Au<sub>5</sub>TlErdong Lu0Jonathan S. Van Buskirk1Jingxiang Cheng2Daniel C. Fredrickson3Department of Chemistry, University of Wisconsin–Madison, 1101 University Avenue, Madison, WI 53706, USADepartment of Chemistry, University of Wisconsin–Madison, 1101 University Avenue, Madison, WI 53706, USADepartment of Chemistry, University of Wisconsin–Madison, 1101 University Avenue, Madison, WI 53706, USADepartment of Chemistry, University of Wisconsin–Madison, 1101 University Avenue, Madison, WI 53706, USAThe tight atomic packing generally exhibited by alloys and intermetallics can create the impression of their being composed of hard spheres arranged to maximize their density. As such, the atomic size factor has historically been central to explanations of the structural chemistry of these systems. However, the role atomic size plays structurally has traditionally been inferred from empirical considerations. The recently developed DFT-Chemical Pressure (CP) analysis has opened a path to investigating these effects with theory. In this article, we provide a step-by-step tutorial on the DFT-CP method for non-specialists, along with advances in the approach that broaden its applicability. A new version of the CP software package is introduced, which features an interactive system that guides the user in preparing the necessary electronic structure data and generating the CP scheme, with the results being readily visualized with a web browser (and easily incorporated into websites). For demonstration purposes, we investigate the origins of the crystal structure of K<sub>3</sub>Au<sub>5</sub>Tl, which represents an intergrowth of Laves and Zintl phase domains. Here, CP analysis reveals that the intergrowth is supported by complementary CP features of NaTl-type KTl and MgCu<sub>2</sub>-type KAu<sub>2</sub> phases. In this way, K<sub>3</sub>Au<sub>5</sub>Tl exemplifies how CP effects can drive the merging for geometrical motifs derived from different families of intermetallics through a mechanism referred to as epitaxial stabilization.https://www.mdpi.com/2073-4352/11/8/906intermetallicsatomic size effectschemical pressureintergrowththeoretical tools
spellingShingle Erdong Lu
Jonathan S. Van Buskirk
Jingxiang Cheng
Daniel C. Fredrickson
Tutorial on Chemical Pressure Analysis: How Atomic Packing Drives Laves/Zintl Intergrowth in K<sub>3</sub>Au<sub>5</sub>Tl
Crystals
intermetallics
atomic size effects
chemical pressure
intergrowth
theoretical tools
title Tutorial on Chemical Pressure Analysis: How Atomic Packing Drives Laves/Zintl Intergrowth in K<sub>3</sub>Au<sub>5</sub>Tl
title_full Tutorial on Chemical Pressure Analysis: How Atomic Packing Drives Laves/Zintl Intergrowth in K<sub>3</sub>Au<sub>5</sub>Tl
title_fullStr Tutorial on Chemical Pressure Analysis: How Atomic Packing Drives Laves/Zintl Intergrowth in K<sub>3</sub>Au<sub>5</sub>Tl
title_full_unstemmed Tutorial on Chemical Pressure Analysis: How Atomic Packing Drives Laves/Zintl Intergrowth in K<sub>3</sub>Au<sub>5</sub>Tl
title_short Tutorial on Chemical Pressure Analysis: How Atomic Packing Drives Laves/Zintl Intergrowth in K<sub>3</sub>Au<sub>5</sub>Tl
title_sort tutorial on chemical pressure analysis how atomic packing drives laves zintl intergrowth in k sub 3 sub au sub 5 sub tl
topic intermetallics
atomic size effects
chemical pressure
intergrowth
theoretical tools
url https://www.mdpi.com/2073-4352/11/8/906
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