Modeling of a nanocylinder

Abstract

The results of the theory of modeling for obtaining nanocylinders have been described. A case of a nanocylinder whose diameters are shorter than the Tolman length has been considered. This important issue is taken into account in studying a nanocylinder for which, in the simplest model, the thickness of the interfacial layer cannot be determined because it supposedly has a small size. At the same time, it has been shown that the introduction of a special form of anisotropy energy makes it possible to analytically describe the origin of an interfacial layer whose sizes can be regarded as sizes comparable to the Tolman length.

Refined structural studies on the fluorite-related polymorphs of sol–gel undoped and Eu3+-doped yttrium tantalates

“…Table 2 compares the Raman spectral bands of LnTaO 4 and S0 at 1100 °C. Most of the Raman bands agreed with the assignments made by Siqueira, et al 63 The assignment made by Nazarov, et al 64 for M′-YTaO 4 is also presented in Table 2 as well. Wang et al 65 prepared RETaO 4 (RE = Nd, Eu, Gd, Dy, Er, Yb, or Lu) by solid-state reaction and obtained monoclinic crystalline phases.…”

“…The Raman spectra of Eu 3+ -doped Y 3 TaO 7 synthesized by the sol-gel route confirmed that these samples did not crystallize as an orthorhombic structure with space group Ccmm. The Table 2 Phonon wavenumbers (cm −1 ) and vibrational mode assignments for sample S0_1100 and comparison with the literature 63,64 Band Siqueira, et al 63 Nazarov, et al…”

Surface tension problem for micro- and nanowires

“…The chemical and physical properties of interphase boundaries in micro-and nanowires, as well as for micro-and nanoparticles, have been studied by many authors (see fundamental monographs [1][2][3][4][5], papers [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20], and reports of S.A. ). The following theoretical approaches should be mentioned: the Gibbs-Tolman-Koenig-Buff equation method and the linear and nonlinear Van der Waals theory [22][23][24][25][26][27].…”