We consider double high order S-breaking bifurcation points of two-Parameter dependent nonlinear problems with Z_2×Z_2-symmetry. Because of the underlying symmetry we could propose some regular extended systems...We consider double high order S-breaking bifurcation points of two-Parameter dependent nonlinear problems with Z_2×Z_2-symmetry. Because of the underlying symmetry we could propose some regular extended systems to determine double high order S-breaking bifurcation points. and we could also show that there exist two quadratic pitchfork bifurcation point paths passing through the point being considered.展开更多
A quench-treatment technique is used to prepare a high-quality polycrystalline sample of double perovskite Sr2FeMo06 （SFMO）. X-ray powder diffraction analysis reveals that the sample has a single phase and exhibits ...A quench-treatment technique is used to prepare a high-quality polycrystalline sample of double perovskite Sr2FeMo06 （SFMO）. X-ray powder diffraction analysis reveals that the sample has a single phase and exhibits I4/m symmetry. The cation order η of the sample increases to 98.9（2）% from 94.2（3）%, which is prepared by the traditional sol-gel method. The initial magnetization isotherm of the sample is detected at 300 K. Unit-cell magnetization for the current sample is 1.332 #s at 300 K, and the one for the traditional sol-gel method sample is 0.946#9. Unit-cell magnetization is enhanced to 40.80% by the quench-treatment technique. Quench treatment is an effective method of enhancing the Fe/Mo order and magnetic properties of double perovskite SFMO.展开更多
Starting with the governing equations in terms of displacements of 3D elastic media, the solutions to displacement components and their first derivatives are obtained by the application of a double Fourier transform a...Starting with the governing equations in terms of displacements of 3D elastic media, the solutions to displacement components and their first derivatives are obtained by the application of a double Fourier transform and an order reduction method based on the Cayley-Hamilton theorem. Combining the solutions and the constitutive equations which connect the displacements and stresses, the transfer matrix of a single soil layer is acquired. Then, the state space solution to multilayered elastic soils is further obtained by introducing the boundary conditions and continuity conditions between adjacent soil layers. The numerical analysis based on the present theory is carried out, and the vertical displacements of multilayered foundation with a weak and a hard underlying stratums are compared and discussed.展开更多
Vacancy-ordered double perovskites(VODPs)are promising alternatives to three-dimensional lead halide perovskites for optoelectronic applications.Mixing these materials creates a vast compositional space for tunable pr...Vacancy-ordered double perovskites(VODPs)are promising alternatives to three-dimensional lead halide perovskites for optoelectronic applications.Mixing these materials creates a vast compositional space for tunable properties but complicates efficient screening of target candidates.Here,we illustrate the diverse electronic and optical characteristics as well as the nonlinear mixing effects within mixed VODPs.Furthermore,inspired by the observation that all physical properties of mixed systems with limited local environment options can be uniquely determined by the information regarding atomic-site occupation,we developed a method combining data augmentation and a transformer-inspired graph neural network to effectively encodes atomic-site information in mixed systems.This approach accurately predicts band gaps and formation energies for mixed VODPs,achieving RootMean Square Errors of 21 meV and 3.9 meV/atom,respectively.Trained with samples with up-to three mixed elements and small supercells(<72 atoms),the model not only can be generalized to medium-and high-entropy systems and larger supercells(>200 atoms),but also well reproduces the bandgap bowing effect in Sn-based mixed VODPs.展开更多
文摘We consider double high order S-breaking bifurcation points of two-Parameter dependent nonlinear problems with Z_2×Z_2-symmetry. Because of the underlying symmetry we could propose some regular extended systems to determine double high order S-breaking bifurcation points. and we could also show that there exist two quadratic pitchfork bifurcation point paths passing through the point being considered.
基金Supported by the National Natural Science Foundation of China under Grant No U1304110the Doctoral Science Foundation of Henan Normal University under Grant No 01026500109
文摘A quench-treatment technique is used to prepare a high-quality polycrystalline sample of double perovskite Sr2FeMo06 （SFMO）. X-ray powder diffraction analysis reveals that the sample has a single phase and exhibits I4/m symmetry. The cation order η of the sample increases to 98.9（2）% from 94.2（3）%, which is prepared by the traditional sol-gel method. The initial magnetization isotherm of the sample is detected at 300 K. Unit-cell magnetization for the current sample is 1.332 #s at 300 K, and the one for the traditional sol-gel method sample is 0.946#9. Unit-cell magnetization is enhanced to 40.80% by the quench-treatment technique. Quench treatment is an effective method of enhancing the Fe/Mo order and magnetic properties of double perovskite SFMO.
文摘Starting with the governing equations in terms of displacements of 3D elastic media, the solutions to displacement components and their first derivatives are obtained by the application of a double Fourier transform and an order reduction method based on the Cayley-Hamilton theorem. Combining the solutions and the constitutive equations which connect the displacements and stresses, the transfer matrix of a single soil layer is acquired. Then, the state space solution to multilayered elastic soils is further obtained by introducing the boundary conditions and continuity conditions between adjacent soil layers. The numerical analysis based on the present theory is carried out, and the vertical displacements of multilayered foundation with a weak and a hard underlying stratums are compared and discussed.
基金support by the National Natural Science Foundation of China(12474221 and 12104080)the Guangdong Provincial Quantum Science Strategic Initiative(Grant No.GDZX2401002),and GHfund A(202407011848),Computational resources are provided by the National Supercomputer Center at Wuzhen.
文摘Vacancy-ordered double perovskites(VODPs)are promising alternatives to three-dimensional lead halide perovskites for optoelectronic applications.Mixing these materials creates a vast compositional space for tunable properties but complicates efficient screening of target candidates.Here,we illustrate the diverse electronic and optical characteristics as well as the nonlinear mixing effects within mixed VODPs.Furthermore,inspired by the observation that all physical properties of mixed systems with limited local environment options can be uniquely determined by the information regarding atomic-site occupation,we developed a method combining data augmentation and a transformer-inspired graph neural network to effectively encodes atomic-site information in mixed systems.This approach accurately predicts band gaps and formation energies for mixed VODPs,achieving RootMean Square Errors of 21 meV and 3.9 meV/atom,respectively.Trained with samples with up-to three mixed elements and small supercells(<72 atoms),the model not only can be generalized to medium-and high-entropy systems and larger supercells(>200 atoms),but also well reproduces the bandgap bowing effect in Sn-based mixed VODPs.
