2000
DOI: 10.1103/physrevb.62.3065
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Critical size and anomalous lattice expansion in nanocrystallineBaTiO3particles

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Cited by 131 publications
(96 citation statements)
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“…Such contraction redistributes surface charge and affects electrostatic bonding. In nanoparticles the diameters of the particles are small enough that contraction effects can propagate through the entire particle and alter the cell dimensions (Tsunekawa et al, 2000a). This effect will alter the bulk energy of the nanoparticle and other thermodynamic properties, and can be a factor in phase transformations.…”
Section: Surface Contraction or Expansionmentioning
confidence: 99%
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“…Such contraction redistributes surface charge and affects electrostatic bonding. In nanoparticles the diameters of the particles are small enough that contraction effects can propagate through the entire particle and alter the cell dimensions (Tsunekawa et al, 2000a). This effect will alter the bulk energy of the nanoparticle and other thermodynamic properties, and can be a factor in phase transformations.…”
Section: Surface Contraction or Expansionmentioning
confidence: 99%
“…This is a complex issue encompassing many factors. For example, oxide nanocrystals may possess contracted or expanded surface layers compared to bulk phases (Cheng et al, 1993;Tsunekawa et al, 2000aTsunekawa et al, , 2000b, they may have surface stoichiometry different from larger crystallites, the surfaces may be corrugated or otherwise reorganized to reduce the effects of enhanced ''curvature'' (perhaps creating new types of surface ''sites'' or a higher proportion of edge/corner/step site locations), and there can be enhanced structural disorder at the surface Gilbert et al, 2004). The redox potential of surface Fe on nanoparticles may be size-dependent, or there may be a change in proton-affinity of a coordinating oxygen atom (Boily et al, 2001).…”
Section: Introductionmentioning
confidence: 99%
“…Another possible reason is an intrinsic effect attributed to the size of the crystalline particles. Tsunekawa et al 18) reported that a BaTiO 3 lattice would expand in order to increase the ionicity of the TiO bond as their particle size decreased to less than about 15 nm. Perebeinosa et al 19) pointed out that such expansion occurs as a result of the negative pressure created by the disconnection of the attractive Madelung potential of the small particles (< 20 nm approx.).…”
Section: Resultsmentioning
confidence: 99%
“…202 On the other hand, too small grain size leads to suppression of ferroelectricity due to diminished non-cubic distortions. [205][206][207] Moreover, domains also become unfavorable at small grain sizes since is compensated by interface charges at grain boundaries and/or polarization gradients. 207 This leads initially to a single domain state, followed by complete suppression of the ferroelectric state as grain size is further reduced.…”
Section: Grain and Domain Engineeringmentioning
confidence: 99%
“…208 For PbTiO 3 the critical grain size to induce a paraelectric state is between 4 nm and 20 nm 209,210 , while for BT it is between 10 nm and 100 nm. [205][206][207] BT has maximized properties at grain sizes between 1 μm and 2 μm. 203,204 Optimization of grain size leads in general to higher ´, lower , decreased , and increased 33 , and 33 * .…”
Section: Grain and Domain Engineeringmentioning
confidence: 99%