The P-branch emission spectra of （4,1） and （3,1） bands of the A^1П-X^1∑^＋ system of IrN molecule are studied using an analytical formula which is derived from elementary expression of molecular total energy by...The P-branch emission spectra of （4,1） and （3,1） bands of the A^1П-X^1∑^＋ system of IrN molecule are studied using an analytical formula which is derived from elementary expression of molecular total energy by taking multiple spectral differences. It not only reproduces the known experimental transition lines, but also predicts the unknown spectral lines up to J = 80 for each band by using a group of fifteen known experimental transition lines.展开更多
The Ira （n=1-13） clusters are studied using the relativistic density functional method with generalized gradient approximation. A series of low-lying structures with different spin multiplicities have been considere...The Ira （n=1-13） clusters are studied using the relativistic density functional method with generalized gradient approximation. A series of low-lying structures with different spin multiplicities have been considered. It is found that all the lowest-energy Ira （n=4-13） geometries prefer non-compact structures rather than compact structure growth pattern. And the cube structure is a very stable cell for the lowest-energy Ira （n 〉 8） clusters. The second-order difference of energy, the vertical ionization potentials, the electron affinities and the atomic average magnetic moments for the lowest-energy Ira geometries all show odd even alternative behaviours.展开更多
The cross product in Euclidean space IR3 is an operation in which two vectors are associated to generate a third vector, also in space IR3. This product can be studied rewriting its basic equations in a matrix structu...The cross product in Euclidean space IR3 is an operation in which two vectors are associated to generate a third vector, also in space IR3. This product can be studied rewriting its basic equations in a matrix structure, more specifically in terms of determinants. Such a structure allows extending, for analogy, the ideas of the cross product for a type of the product of vectors in higher dimensions, through the systematic increase of the number of rows and columns in determinants that constitute the equations. So, in a n-dimensional space with Euclidean norm, we can associate n – 1 vectors and to obtain an n-th vector, with the same geometric characteristics of the product in three dimensions. This kind of operation is also a geometric interpretation of the product defined by Eckman [1]. The same analogies are also useful in the verification of algebraic properties of such products, based?on known properties of determinants.展开更多
In saline paddy soil in the north of China,thetechnique of immunization of rice nursery(IRN)was applied in 1990’s and successfullymet the production needs.It had more advan-tages than paddy soil land nursery(PSLN).
基金supported by the National Natural Science Foundation of China (Grant No.11074204)the Science Foundation of the Ministry of Education of China (Grant No.20100181110085)+1 种基金the Research Fund of Key Disciplines of Atomic and Molecular Physicsthe Fund of Key Laboratory of Advanced Scientific Computation,Xihua University,China
文摘The P-branch emission spectra of （4,1） and （3,1） bands of the A^1П-X^1∑^＋ system of IrN molecule are studied using an analytical formula which is derived from elementary expression of molecular total energy by taking multiple spectral differences. It not only reproduces the known experimental transition lines, but also predicts the unknown spectral lines up to J = 80 for each band by using a group of fifteen known experimental transition lines.
基金Project supported by the National Natural Science Foundation of China for Young Scientists(Grant No.10904123)the National Natural Science Foundation of China(Grant Nos.10774118 and 10974152)the Special Item Foundation of Educational Committee of Shaanxi Province,China(Grant No.08JK471)
文摘The Ira （n=1-13） clusters are studied using the relativistic density functional method with generalized gradient approximation. A series of low-lying structures with different spin multiplicities have been considered. It is found that all the lowest-energy Ira （n=4-13） geometries prefer non-compact structures rather than compact structure growth pattern. And the cube structure is a very stable cell for the lowest-energy Ira （n 〉 8） clusters. The second-order difference of energy, the vertical ionization potentials, the electron affinities and the atomic average magnetic moments for the lowest-energy Ira geometries all show odd even alternative behaviours.
文摘The cross product in Euclidean space IR3 is an operation in which two vectors are associated to generate a third vector, also in space IR3. This product can be studied rewriting its basic equations in a matrix structure, more specifically in terms of determinants. Such a structure allows extending, for analogy, the ideas of the cross product for a type of the product of vectors in higher dimensions, through the systematic increase of the number of rows and columns in determinants that constitute the equations. So, in a n-dimensional space with Euclidean norm, we can associate n – 1 vectors and to obtain an n-th vector, with the same geometric characteristics of the product in three dimensions. This kind of operation is also a geometric interpretation of the product defined by Eckman [1]. The same analogies are also useful in the verification of algebraic properties of such products, based?on known properties of determinants.
文摘In saline paddy soil in the north of China,thetechnique of immunization of rice nursery(IRN)was applied in 1990’s and successfullymet the production needs.It had more advan-tages than paddy soil land nursery(PSLN).
