“…The results showed that the sample doped with zinc oxide (ZnO) recorded the highest density (ρ(glass)), molar polarizability (α(m)), molar refraction (Rm), refractive index (n), and third-order nonlinear optical susceptibility (χ(3)) and the lowest optical energy gap (E(opt)) among the samples under investigation. …”
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“…The polarizabilities and hyperpolarizabilities of tested compounds have been calculated applying the DFT/B3LYP functional. The second- and third-order nonlinear optical properties of the molecule/PVK thin film guest–host systems were investigated by the Maker fringes technique in the picosecond regime at the fundamental wavelength of 1064 nm. …”
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“…The increases in the third order nonlinear susceptibility and the nonlinear refractive index with ion fluence are useful for nonlinear optical applications. …”
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“…The reaction kinetics proves that the reaction is third order and the activated energy is 208.9 kJ mol(−1). …”
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“…We report on the observation of a third-order nonlinear process in lithium fluoride (LiF) at a free-electron laser. …”
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“…The barriers to massive online teaching and learning included the first-order barrier (technological or external barrier), the second-order barrier (internal barrier or teachers' and parents' beliefs), the third-order barrier (design thinking barrier), and the 2.5th order barrier (the classroom management barrier). …”
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“…We investigated how landcover and oil and gas development affect third‐order nest‐site selection of boreal ducks. We located duck nests in Alberta's western boreal forest between 2016 and 2018. …”
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“…These data, together with geophysical gamma ray log values and lithological composition, allowed us to reconstruct the changes in relative sea level at this time in the framework of a third-order transgressive–regressive (T–R) sequence stratigraphic model. …”
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“…To calculate the linear and third-order nonlinear optical absorption coefficients and relative changes in the refractive index, a two-level approach in the density matrix expansion is used. …”
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“…This is observed by an interference structure in the third-order harmonic generation of few-cycle pulses in a non-collinear geometry. …”
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“…Silicon nitride (Si(3)N(4)) is an ever-maturing integrated platform for nonlinear optics but mostly considered for third-order [χ((3))] nonlinear interactions. Recently, second-order [χ((2))] nonlinearity was introduced into Si(3)N(4) via the photogalvanic effect, resulting in the inscription of quasi-phase–matched χ((2)) gratings. …”
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“…Acoustic emissions displayed elevated broadband noise and distinct sub- and ultra-harmonics and their associated third-order peaks with increasing pressure. Conclusions: The observed vascular events taken collectively with identified cavitation signatures provide an improved mechanistic understanding of antivascular ultrasound at the microscale, with implications for establishing a specific treatment protocol and control platform.…”
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“…The datasets presented consist of 33,000 time series of 15 dynamical systems (five chaotic and ten non-chaotic) of the first, second, or third order. Here, the order of a dynamical system means its dimension. …”
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“…Both events also occurred simultaneously with the initiation of cavitation in leaf high-order veins (HOV, veins from the third order above) and the analytically derived point of leaf runaway hydraulic failure. …”
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“…There is a minor influence of polarization effects on the second hyperpolarizability but our estimated result for the third-order susceptibility, related to the NLO process of the intensity dependent refractive index, is significant as compared with the results for other organic crystals, such as chalcone-derivatives. …”
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“…In this work, we aim to perform complex dielectric permittivity measurements up to 8.5 GHz, investigating and modeling the role of water amount, salt and yeast concentrations on the spectra of this food product. A third-order Cole–Cole model was used to interpret the microwave response of the different samples, resulting in a maximum error of 1.58% and 1.60% for the real and imaginary parts of permittivity, respectively. …”
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“…ALV-K was divided into two second-order clades (Clades 1.1 and 1.2) and three third-order clades (Clades 1.2.1, 1.2.2, and 1.2.3), indicating that not only 1.1 and 1.2.3, the two old clades which are prevalent in Japan, but also two new clades (1.2.1, 1.2.2), are co-prevalent in China. …”
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“…The laser is obtained by sending a 3.9 μm, 3.3 mJ mid-infrared pump pulse into a cascaded architecture of gas-filled hollow-core fiber, a bare lithium niobate crystal plate, and a specially designed chirped periodically poled lithium niobate crystal, under the synergic action of second and third order nonlinearities such as high harmonic generation and self-phase modulation. …”
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“…In 2018, Liuquan Wang and Yifan Yang proved the existence of an infinite family of congruences for the smallest parts function corresponding to the third-order mock theta function [Formula: see text] . …”
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“…The coverage, area, mean, third-order moments, and consistency of the transfer film strongly correlated with the volumetric wear rate (correlation coefficient |r| > 0.9).…”
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