Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Journal of Nanoparticle Research
Published in: Journal of Nanoparticle Research 12/2022

01-12-2022 | Research paper

Modeling the lattice expansion and contraction of nanocrystals in different interface environments

Authors: Hongchao Sheng, Tieyuan Yin, Beibei Xiao, Xiaobao Jiang

Published in: Journal of Nanoparticle Research | Issue 12/2022

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

The lattice strain ε(D) function of nanocrystals within different interface environments was modeled. For nanoparticles and nanocrystals embedded in incoherent interfaces, the lattice shrinks with the decrease of size, resulting in the reduction of ε(D). For nanostructure materials and the nanocrystals embedded in the coherent interfaces, ε(D) increases due to lattice expansion. These changes in interfacial lattice parameters depend on the sign of interfacial stress fss, i.e., the lattice contracts when fss > 0 and expands when fss < 0. In addition, we also give a criterion to judge the sign of fss, fss is negative when the surface stress f of the matrix is larger than that of the embedded nanocrystals, and vice versa. The variation in the sign of fss is also applicable to explain the thermal stability of the interface.
previous article AS1411 aptamer improves therapeutic efficacy of PEGylated nanoliposomes loaded with gefitinib in the mice bearing CT26 colon carcinoma
next article Synthesis and characterization of enhanced visible light-driven mesoporous TiO2-WO3/Bi2WO6 nanosheet photocatalyst

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now
Literature
1.
Xu Z, Xiao FS, Purnell SK, Alexeev O, Kawi S, Deutsch SE, Gates BC (1994) Size-dependent catalytic activity of supported metal clusters. Nature 372(6504):346–348CrossRef
2.
Zhou SM, He LF, Zhao SY, Guo YQ, Zhao JY, Shi L (2009) Size-dependent structural and magnetic properties of LaCoO3 nanoparticles. J Phys Chem C 113(31):13522–13526CrossRef
3.
van Buuren T, Dinh LN, Chase LL, Siekhaus WJ, Terminello LJ (1998) Changes in the electronic properties of Si nanocrystals as a function of particle size. Phys Rev Lett 80(17):3803–3806CrossRef
4.
Liu W, Zhao YH, Li Y, Jiang Q, Lavernia EJ (2009) Enhanced hydrogen storage on Li-dispersed carbon nanotubes. J Phys Chem C 113(5):2028–2033CrossRef
5.
Xiao BB, Jiang XB, Yang XL, Jiang Q, Zheng F (2016) The segregation resistance of the Pt2ML/Os/Pd3Al sandwich catalyst for oxygen reduction reaction: a density functional theory study. Phys Chem Chem Phys 18(43):30174–30182CrossRef
6.
Wang X, Su J, Chen H, Li GD, Shi ZF, Zou HF, Zou XX (2017) Ultrathin In2O3 nanosheets with uniform mesopores for highly sensitive nitric oxide detection. ACS Appl Mater Inter 9(19):16335–16342CrossRef
7.
Mays CW, Vermaak JS, Kuhlmann-Wilsdorf D (1968) On surface stress and surface tension: II. Determination of the surface stress of gold. Surf Sci 12(2):134–140CrossRef
8.
Wasserman HJ, Vermaak JS (1970) On the determination of a lattice contraction in very small silver particles. Surf Sci 22(1):164–172CrossRef
9.
Wasserman HJ, Vermaak JS (1972) On the determination of the surface stress of copper and platinum. Surf Sci 32(1):168–174CrossRef
10.
Montano PA, Schulze W, Tesche B, Shenoy GK, Morrison TI (1984) Extended X-ray-absorption fine-structure study of Ag particles isolated in solid argon. Phys Rev B 30(2):672–677CrossRef
11.
Montano PA, Zhao J, Ramanathan M, Shenoy GK, Schulze W, Urban J (1989) Structure of silver microclusters. Chem Phys Lett 164(2):126–130CrossRef
12.
Medasani B, Park YH, Vasiliev I (2007) Theoretical study of the surface energy, stress, and lattice contraction of silver nanoparticles. Phys Rev B 75(23):235436CrossRef
13.
Solliard C, Flueli M (1985) Surface stress and size effect on the lattice parameter in small particles of gold and platinum. Surf Sci 156:487–494CrossRef
14.
Liang LH, Li JC, Jiang Q (2003) Size-dependent melting depression and lattice contraction of Bi nanocrystals. Physica B 334(1):49–53CrossRef
15.
Kellermann G, Craievich AF (2002) Structure and melting of Bi nanocrystals embedded in a B2O3-Na2O glass. Phys Rev B 65(13):134204CrossRef
16.
Yu XF, Liu X, Zhang K, Hu ZQ (1999) The lattice contraction of nanometre-sized Sn and Bi particles produced by an electrohydrodynamic technique. J Phys D: Appl Phys 11(4):937–944
17.
Apai G, Hamilton JF, Stohr J, Thompson A (1979) Extended X-ray-absorption fine structure of small Cu and Ni clusters: binding-energy and bond-length changes with cluster size. Phys Rev Lett 43(2):165–169CrossRef
18.
da Silva EZ, Antonelli A (1996) Size dependence of the lattice parameter for Pd clusters: a molecular-dynamics study. Phys Rev B 54(23):17057–17060CrossRef
19.
Lamber R, Wetjen S, Jaeger NI (1995) Size dependence of the lattice parameter of small palladium particles. Phys Rev B 51(16):10968–10971CrossRef
20.
Tsunekawa S, Ishikawa K, Li ZQ, Kawazoe Y, Kasuya A (2000) Origin of anomalous lattice expansion in oxide nanoparticles. Phys Rev Lett 85(16):3440–3443CrossRef
21.
Nafday D, Sarkar S, Ayyub P, Saha-Dasgupta T (2018) A reduction in particle size generally causes body-centered-cubic metals to expand but face-centered-cubic metals to contract. ACS Nano 12(7):7246–7252CrossRef
22.
Manuel DP, Péter Á, Karsten A (2012) Size-dependent lattice expansion in nanoparticles: reality or anomaly? ChemPhysChem 13(10):2443–2454CrossRef
23.
Qin W, Szpunar JA (2005) Origin of lattice strain in nanocrystalline materials. Phil Mag Lett 85(12):649–656CrossRef
24.
Shen TD, Zhang JZ, Zhao YS (2008) What is the theoretical density of a nanocrystalline material? Acta Mater 56(14):3663–3671CrossRef
25.
Oehl N, Michalowski P, Knipper M, Kolny-Olesiak J, Plaggenborg T, Parisi J (2014) Size-dependent strain of Sn/SnOx core/shell nanoparticles. J Phys Chem C 118(51):30238–30243CrossRef
26.
Lewin E, Råsander M, Klintenberg M, Bergman A, Eriksson O, Jansson U (2010) Design of the lattice parameter of embedded nanoparticles. Chem Phys Lett 496(1):95–99CrossRef
27.
Zhong J (2000) Thesis, Institute of Metal Research, Chinese Academy of Sciences
28.
Jiang Q, Zhang Z, Li JC (2000) Melting thermodynamics of nanocrystals embedded in a matrix. Acta Mater 48(20):4791–4795CrossRef
29.
Jiang XB, Xiao BB, Lan R, Gu XY, Sheng HC, Yang HY, Zhang XH (2018) Definition of interface parameter and its application on estimating the thermal stability of metallic nanoparticles. J Phys Chem C 122(45):26260–26266CrossRef
30.
Buttard D, Dolino G, Faivre C, Halimaoui A, Comin F, Formoso V, Ortega L (1999) Porous silicon strain during in situ ultrahigh vacuum thermal annealing. J Appl Phys 85(10):7105–7111CrossRef
31.
Stoneham AM (1999) Comment on ‘The lattice contraction of nanometre-sized Sn and Bi particles produced by an electrohydrodynamic technique’. J Phys D: Appl Phys 11(42):8351–8352
32.
Jiang Q, Liang LH, Zhao DS (2001) Lattice contraction and surface stress of fcc nanocrystals. J Phys Chem B 105(27):6275–6277CrossRef
33.
Ouyang G, Zhu WG, Sun CQ, Zhu ZM, Liao SZ (2010) Atomistic origin of lattice strain on stiffness of nanoparticles. Phys Chem Chem Phys 12(7):1543–1549CrossRef
34.
Sun CQ (2014) Skin bond relaxation and nanosolid densification. Springer, Singapore, pp 223–238CrossRef
35.
Sun CQ (2007) Size dependence of nanostructures: impact of bond order deficiency. Prog Solid State Ch 35(1):1–159CrossRef
36.
Omar MS (2013) Critical size structure parameters for Au nanoparticles. Adv Mater Res 626:976–979CrossRef
37.
Omar MS (2016) Structural and thermal properties of elementary and binary tetrahedral semiconductor nanoparticles. Int J Thermophys 37:11CrossRef
38.
Omar MS (2012) Models for mean bonding length, melting point and lattice thermal expansion of nanoparticle materials. Mater Res Bull 47(11):3518–3522CrossRef
39.
Abdullah BJ, Omar MS, Jiang Q (2018) Size dependence of the bulk modulus of Si nanocrystals. Sādhanā 43:174CrossRef
40.
Omar MS, Taha HT (2009) Lattice dislocation in Si nanowires. Physica B 404(23–24):5203–5206CrossRef
41.
Zhu YF, Zheng WT, Jiang Q (2009) Modeling lattice expansion and cohesive energy of nanostructured materials. Appl Phys Lett 95(8):083110CrossRef
42.
Jiang Q, Zhao DS, Zhao M (2001) Size-dependent interface energy and related interface stress. Acta Mater 49(16):3143–3147CrossRef
43.
Sheng HC, Gao R, Xiao BB, Jiang XB (2021) Prediction of the surface and interface stress of metallic elements. Vacuum 192:110428CrossRef
44.
Jiang XB, Xiao BB, Lan R, Gu XY, Zhang XH, Sheng HC (2019) Estimation of the solid-liquid interface energy for metal elements. Comp Mater Sci 170:109174CrossRef
45.
Yang CC, Jiang Q (2005) Size and interface effects on critical temperatures of ferromagnetic, ferroelectric and superconductive nanocrystals. Acta Mater 53(11):3305–3311CrossRef
46.
Lang XY, Zheng WT, Jiang Q (2006) Size and interface effects on ferromagnetic and antiferromagnetic transition temperatures. Phys Rev B 73(22):224444CrossRef
47.
Li XL (2014) Modeling the size- and shape-dependent cohesive energy of nanomaterials and its applications in heterogeneous systems. Nanotechnology 25(18):185702CrossRef
48.
Zhao M, Yao X, Zhu YF, Jiang Q (2018) Effect of the interface energy on the pressure-induced superheating of metallic nanoparticles embedded in a matrix. Scripta Mater 142:23–27CrossRef
49.
Wang YR, Tang K, Yao X, Jin B, Zhu YF, Jiang Q (2018) Interface effect on the cohesive energy of nanostructured materials and substrate-supported nanofilms. Dalton 47(14):4856–4865CrossRef
50.
Zhao M, Jiang Q (2004) Melting and surface melting of low-dimensional In crystals. Solid State Commun 130(1):37–39CrossRef
51.
Jiang Q, Liang LH, Li JC (2003) Thermodynamic superheating of low-dimensional metals embedded in matrix. Vacuum 72(3):249–255CrossRef
52.
Banerjee R, Sperling EA, Thompson GB, Fraser HL, Bose S, Ayyub P (2003) Lattice expansion in nanocrystalline niobium thin films. Appl Phys Lett 82(24):4250–4252CrossRef
53.
Qian LH, Wang SC, Zhao YH, Lu K (2002) Microstrain effect on thermal properties of nanocrystalline Cu. Acta Mater 50(13):3425–3434CrossRef
54.
Ohshima K, Yatsuya S, Harada J (1981) Characterization of ultra fine palladium particles with the mean size of 20 Å by X-ray diffraction. J Phys Soc Jpn 50:3071–3074CrossRef
Metadata
Title
Modeling the lattice expansion and contraction of nanocrystals in different interface environments
Authors
Hongchao Sheng
Tieyuan Yin
Beibei Xiao
Xiaobao Jiang
Publication date
01-12-2022
Publisher
Springer Netherlands
Published in
Journal of Nanoparticle Research / Issue 12/2022
Print ISSN: 1388-0764
Electronic ISSN: 1572-896X
DOI
https://doi.org/10.1007/s11051-022-05634-w

Other articles of this Issue 12/2022

Journal of Nanoparticle Research 12/2022 Go to the issue

Review

Therapeutic potential of human breast milk derived exosomes

Perspectives

A practical proposal for silver nanoparticles (Ag-NPs) separation by differential centrifugation

Research paper

AS1411 aptamer improves therapeutic efficacy of PEGylated nanoliposomes loaded with gefitinib in the mice bearing CT26 colon carcinoma

Research paper

Vancomycin modified graphene oxide as carriers to load phthalocyanine for synergistic phototherapy of vancomycin-resistant bacteria

Perspectives

To be or not to be a nanomaterial

Research paper

Sono-assisted synthesis of AgFeO2 nanoparticles for efficient removal of Basic Green-4 dye from aqueous solution

Premium Partners

    Image Credits