Friedel Oscillations and He-He Interactions in Mo

Helium ions implanted into metals can form ordered bubbles that are isomorphic to the host lattice. While long-range elastic interactions are generally believed to drive bubble superlattice formation, the interactions between individual helium solutes are not yet fully understood. Our first-principl...

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Published inCrystals (Basel) Vol. 14; no. 10; p. 834
Main Authors Shen, Xuepeng, Liang, Enzhi, Zhan, Qian, Wang, Wei, Geng, Wen Tong
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 25.09.2024
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Abstract Helium ions implanted into metals can form ordered bubbles that are isomorphic to the host lattice. While long-range elastic interactions are generally believed to drive bubble superlattice formation, the interactions between individual helium solutes are not yet fully understood. Our first-principles calculations reveal that in molybdenum, Friedel oscillations induced by individual helium atoms generate potential barriers and wells that influence helium pairing and clustering at short He-He distances. These repulsive and attractive interactions at high concentrations provide thermodynamic driving forces that align randomly distributed helium atoms into Mo-He superlattices. Friedel oscillations may have broad impacts on solute–solute interactions in alloys.
AbstractList Helium ions implanted into metals can form ordered bubbles that are isomorphic to the host lattice. While long-range elastic interactions are generally believed to drive bubble superlattice formation, the interactions between individual helium solutes are not yet fully understood. Our first-principles calculations reveal that in molybdenum, Friedel oscillations induced by individual helium atoms generate potential barriers and wells that influence helium pairing and clustering at short He-He distances. These repulsive and attractive interactions at high concentrations provide thermodynamic driving forces that align randomly distributed helium atoms into Mo-He superlattices. Friedel oscillations may have broad impacts on solute–solute interactions in alloys.
Author Zhan, Qian
Geng, Wen Tong
Shen, Xuepeng
Wang, Wei
Liang, Enzhi
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  fullname: Geng, Wen Tong
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Cites_doi 10.1038/229403a0
10.1080/14786440208561086
10.1051/jphysrad:019600021010068900
10.1016/0022-3115(94)00674-1
10.1080/14786437608221936
10.1080/14786437308226898
10.1103/PhysRevB.59.1677
10.1016/0022-5096(75)90022-8
10.1103/PhysRevB.81.134112
10.1103/PhysRevB.54.11169
10.1103/PhysRevB.78.134103
10.1088/0305-4608/1/6/311
10.1103/PhysRevMaterials.3.103607
10.1016/0022-3115(79)90621-4
10.1016/j.actamat.2004.12.029
10.1016/j.jnucmat.2016.05.030
10.1016/j.jnucmat.2016.07.012
10.1063/1.4942216
10.1038/276595a0
10.1016/0022-3115(93)90104-7
10.1023/A:1015062218246
10.1016/j.jnucmat.2024.154965
10.1103/PhysRevLett.77.3865
10.1103/PhysRevB.50.17953
10.1038/287420a0
10.1016/0022-3115(85)90044-3
10.1088/0305-4608/2/4/001
10.1016/0038-1098(77)90393-3
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References Friedel (ref_20) 1952; 43
Blandin (ref_21) 1960; 21
Stoneham (ref_7) 1971; 1
Gall (ref_27) 2016; 119
Johnson (ref_3) 1978; 276
Sun (ref_14) 2019; 3
Woo (ref_10) 1985; 137
Cho (ref_26) 1999; 59
Liou (ref_15) 1979; 83
Inglesfield (ref_18) 1976; 34
Tewary (ref_6) 1972; 2
Sass (ref_2) 1973; 27
Cao (ref_25) 2024; 592
Kresse (ref_22) 1996; 54
Johnson (ref_5) 1995; 218
(ref_16) 1977; 24
Cao (ref_28) 2016; 478
Willis (ref_8) 1975; 23
Jiang (ref_19) 2010; 81
Perdew (ref_24) 1996; 77
Krishan (ref_9) 1980; 287
Ghoniem (ref_11) 2001; 8
Yu (ref_12) 2005; 53
Trinkaus (ref_4) 1993; 205
Hu (ref_13) 2016; 479
(ref_23) 1994; 50
Evans (ref_1) 1971; 229
Seletskaia (ref_17) 2008; 78
References_xml – volume: 229
  start-page: 403
  year: 1971
  ident: ref_1
  article-title: Observations of a Regular Void Array in High Purity Molybdenum Irradiated with 2MeV Nitrogen Ions
  publication-title: Nature
  doi: 10.1038/229403a0
  contributor:
    fullname: Evans
– volume: 43
  start-page: 153
  year: 1952
  ident: ref_20
  article-title: XIV. The Distribution of Electrons Round Impurities in Monovalent Metals, London, Edinburgh
  publication-title: Dublin Philos. Mag. J. Sci.
  doi: 10.1080/14786440208561086
  contributor:
    fullname: Friedel
– volume: 21
  start-page: 689
  year: 1960
  ident: ref_21
  article-title: Effets Quadrupolaires Dans La Résonance Magnétique Nucléaire Des Alliages Dilués
  publication-title: J. Phys. Radium
  doi: 10.1051/jphysrad:019600021010068900
  contributor:
    fullname: Blandin
– volume: 218
  start-page: 273
  year: 1995
  ident: ref_5
  article-title: Gas-Bubble Superlattice Formation in Bcc Metals
  publication-title: J. Nucl. Mater.
  doi: 10.1016/0022-3115(94)00674-1
  contributor:
    fullname: Johnson
– volume: 34
  start-page: 205
  year: 1976
  ident: ref_18
  article-title: Energy of Helium Dissolved in Metals
  publication-title: Philos. Mag.
  doi: 10.1080/14786437608221936
  contributor:
    fullname: Inglesfield
– volume: 27
  start-page: 1447
  year: 1973
  ident: ref_2
  article-title: Diffraction from Void and Bubble Arrays in Irradiated Molybdenum
  publication-title: Philos. Mag.
  doi: 10.1080/14786437308226898
  contributor:
    fullname: Sass
– volume: 59
  start-page: 1677
  year: 1999
  ident: ref_26
  article-title: Oscillatory Lattice Relaxation at Metal Surfaces
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.59.1677
  contributor:
    fullname: Cho
– volume: 23
  start-page: 129
  year: 1975
  ident: ref_8
  article-title: The Interaction of Gas Bubbles in an Anisotropic Elastic Solid
  publication-title: J. Mech. Phys. Solids
  doi: 10.1016/0022-5096(75)90022-8
  contributor:
    fullname: Willis
– volume: 81
  start-page: 1
  year: 2010
  ident: ref_19
  article-title: Strong Hydrogen Trapping at Helium in Tungsten: Density Functional Theory Calculations
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.81.134112
  contributor:
    fullname: Jiang
– volume: 54
  start-page: 11169
  year: 1996
  ident: ref_22
  article-title: Efficient Iterative Schemes for Ab Initio Total-Energy Calculations Using a Plane-Wave Basis Set
  publication-title: Phys. Rev. B Phys.
  doi: 10.1103/PhysRevB.54.11169
  contributor:
    fullname: Kresse
– volume: 78
  start-page: 1
  year: 2008
  ident: ref_17
  article-title: First-Principles Theory of the Energetics of He Defects in Bcc Transition Metals
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.78.134103
  contributor:
    fullname: Seletskaia
– volume: 1
  start-page: 778
  year: 1971
  ident: ref_7
  article-title: Theory of Regular Arrays of Defects: The Void Lattice
  publication-title: J. Phys. F Met. Phys.
  doi: 10.1088/0305-4608/1/6/311
  contributor:
    fullname: Stoneham
– volume: 3
  start-page: 103607
  year: 2019
  ident: ref_14
  article-title: Formation Window of Gas Bubble Superlattice in Molybdenum under Ion Implantation
  publication-title: Phys. Rev. Mater.
  doi: 10.1103/PhysRevMaterials.3.103607
  contributor:
    fullname: Sun
– volume: 83
  start-page: 335
  year: 1979
  ident: ref_15
  article-title: Observations on Ordered Voids in Molybdenum
  publication-title: J. Nucl. Mater.
  doi: 10.1016/0022-3115(79)90621-4
  contributor:
    fullname: Liou
– volume: 53
  start-page: 1799
  year: 2005
  ident: ref_12
  article-title: Dynamics of the Self-Assembly of Nanovoids and Nanobubbles in Solids
  publication-title: Acta Mater.
  doi: 10.1016/j.actamat.2004.12.029
  contributor:
    fullname: Yu
– volume: 478
  start-page: 13
  year: 2016
  ident: ref_28
  article-title: Migration of helium-pair in metals
  publication-title: J. Nucl. Mater.
  doi: 10.1016/j.jnucmat.2016.05.030
  contributor:
    fullname: Cao
– volume: 479
  start-page: 202
  year: 2016
  ident: ref_13
  article-title: Formation Mechanism of Gas Bubble Superlattice in UMo Metal Fuels: Phase-Field Modeling Investigation
  publication-title: J. Nucl. Mater.
  doi: 10.1016/j.jnucmat.2016.07.012
  contributor:
    fullname: Hu
– volume: 119
  start-page: 1
  year: 2016
  ident: ref_27
  article-title: Electron Mean Free Path in Elemental Metals
  publication-title: J. Appl. Phys.
  doi: 10.1063/1.4942216
  contributor:
    fullname: Gall
– volume: 276
  start-page: 595
  year: 1978
  ident: ref_3
  article-title: Helium Gas Bubble Lattices in Face-Centred-Cubic Metals
  publication-title: Nature
  doi: 10.1038/276595a0
  contributor:
    fullname: Johnson
– volume: 205
  start-page: 394
  year: 1993
  ident: ref_4
  article-title: Defect Ordering in Metals under Irradiation
  publication-title: J. Nucl. Mater.
  doi: 10.1016/0022-3115(93)90104-7
  contributor:
    fullname: Trinkaus
– volume: 8
  start-page: 1
  year: 2001
  ident: ref_11
  article-title: Theory and Experiment of Nanostructure Self-Organization in Irradiated Materials
  publication-title: J. Comput. Mater. Des.
  doi: 10.1023/A:1015062218246
  contributor:
    fullname: Ghoniem
– volume: 592
  start-page: 154965
  year: 2024
  ident: ref_25
  article-title: Off-center positioning of helium in a vacancy in metals
  publication-title: J. Nucl. Mater.
  doi: 10.1016/j.jnucmat.2024.154965
  contributor:
    fullname: Cao
– volume: 77
  start-page: 3865
  year: 1996
  ident: ref_24
  article-title: Generalized Gradient Approximation Made Simple
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.77.3865
  contributor:
    fullname: Perdew
– volume: 50
  start-page: 17953
  year: 1994
  ident: ref_23
  article-title: Projector Augmented-Wave Method
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.50.17953
– volume: 287
  start-page: 420
  year: 1980
  ident: ref_9
  article-title: Kinetics of Void-Lattice Formation in Metals
  publication-title: Nature
  doi: 10.1038/287420a0
  contributor:
    fullname: Krishan
– volume: 137
  start-page: 7
  year: 1985
  ident: ref_10
  article-title: A Theory of Void-Lattice Formation
  publication-title: J. Nucl. Mater.
  doi: 10.1016/0022-3115(85)90044-3
  contributor:
    fullname: Woo
– volume: 2
  start-page: L69
  year: 1972
  ident: ref_6
  article-title: Theory of the Void Lattice in Molybdenum
  publication-title: J. Phys. F Met. Phys.
  doi: 10.1088/0305-4608/2/4/001
  contributor:
    fullname: Tewary
– volume: 24
  start-page: 691
  year: 1977
  ident: ref_16
  article-title: Electronic Structure of H and He in Metal Vacancies
  publication-title: Solid State Commun.
  doi: 10.1016/0038-1098(77)90393-3
SSID ssj0000760771
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Snippet Helium ions implanted into metals can form ordered bubbles that are isomorphic to the host lattice. While long-range elastic interactions are generally...
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StartPage 834
SubjectTerms Bubbles
Clustering
Energy
First principles
Friedel oscillations
Helium atoms
Helium ions
helium irradiation
Metals
Molybdenum
Oscillations
Phase transitions
Point defects
solute–solute interactions
Superlattices
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