Swept volume solid modeling has been applied to many areas such as NC machining simulation and verification, robot workspace analysis, collision detection, and CAD. But self-intersections continue to be a challenging ...Swept volume solid modeling has been applied to many areas such as NC machining simulation and verification, robot workspace analysis, collision detection, and CAD. But self-intersections continue to be a challenging problem in the boundary representation of swept volume solids. A novel algorithm is presented in this paper to trim self-intersection regions in swept volume solids modeling. This trimming algorithm consists of two major steps: (1) roughly detecting self-intersection regions by checking intersections or overlapping of the envelop profiles; (2) splitting the whole envelop surfaces of the swept volume solid into separate non-self-intersecting patches to trim global self-intersections, and to trim local self-intersections, dividing local self-intersecting regions into patches and replacing self-intersecting patches with non-self-intersecting ones. Examples show that our algorithm is efficient and robust.展开更多
Three iron (III) complexes with the formula of [Feat(X)L2]BPh4 were studied, in which a pentadentate Schiff-base ligand (H2L2 = bis (3-methoxysalicylideneiminopropyl) methylamine) and a counter anion BPh4 were...Three iron (III) complexes with the formula of [Feat(X)L2]BPh4 were studied, in which a pentadentate Schiff-base ligand (H2L2 = bis (3-methoxysalicylideneiminopropyl) methylamine) and a counter anion BPh4 were fixed, and three monodentate ligands, 3-Mepy (3-methylpyridine), 4-NH2py (4-aminopyridine), and 2-Meim (2-methylimidazole) were used as the axial ligand X. The temperature dependence of magnetic susceptibility measurements demonstrated that [Fem(3-Mepy)L2]BPh4 showed a gradual spin equilibrium between HS (high-spin) (S = 5/2) and LS (low-spin) (S = 1/2) states, [Fem(4-NH2py)L2]BPh4 showed a steep SCO (spin crossover) and [FeIH(2-Melm)L2]BPh4 was in the HS state even at 100 K. The single crystal X-ray analyses demonstrated that [FelH(4-NH2py)L2]BPh4 has an one-dimensional chain structure constructed by intermolecular hydrogen bonding between 4-amino group of 4-NH2py and methoxy oxygen of adjacent molecular-cation. The crystal structure of [FenI(3-Mepy)L2]BPh4 has no such intermolecular interaction and its SCO site behaves independently, and the crystal structure of [FeIII(2-Meim)L2]BPh4 has a NH...n interaction between imidazole group of 2-Meim of cation and a phenyl group of anion BPh4. The result demonstrates that the intermolecular hydrogen bonding affects SCO profile significantly.展开更多
基金Project supported by the National Natural Science Foundation of China (No. 60473106)the Hi-Tech Research and Development Program (863) of China (Nos. 2007AA01Z311 and 2007AA04Z1A5)the National Research Foundation for the Doctoral Program of Higher Education of China (No. 20060335114)
文摘Swept volume solid modeling has been applied to many areas such as NC machining simulation and verification, robot workspace analysis, collision detection, and CAD. But self-intersections continue to be a challenging problem in the boundary representation of swept volume solids. A novel algorithm is presented in this paper to trim self-intersection regions in swept volume solids modeling. This trimming algorithm consists of two major steps: (1) roughly detecting self-intersection regions by checking intersections or overlapping of the envelop profiles; (2) splitting the whole envelop surfaces of the swept volume solid into separate non-self-intersecting patches to trim global self-intersections, and to trim local self-intersections, dividing local self-intersecting regions into patches and replacing self-intersecting patches with non-self-intersecting ones. Examples show that our algorithm is efficient and robust.
文摘Three iron (III) complexes with the formula of [Feat(X)L2]BPh4 were studied, in which a pentadentate Schiff-base ligand (H2L2 = bis (3-methoxysalicylideneiminopropyl) methylamine) and a counter anion BPh4 were fixed, and three monodentate ligands, 3-Mepy (3-methylpyridine), 4-NH2py (4-aminopyridine), and 2-Meim (2-methylimidazole) were used as the axial ligand X. The temperature dependence of magnetic susceptibility measurements demonstrated that [Fem(3-Mepy)L2]BPh4 showed a gradual spin equilibrium between HS (high-spin) (S = 5/2) and LS (low-spin) (S = 1/2) states, [Fem(4-NH2py)L2]BPh4 showed a steep SCO (spin crossover) and [FeIH(2-Melm)L2]BPh4 was in the HS state even at 100 K. The single crystal X-ray analyses demonstrated that [FelH(4-NH2py)L2]BPh4 has an one-dimensional chain structure constructed by intermolecular hydrogen bonding between 4-amino group of 4-NH2py and methoxy oxygen of adjacent molecular-cation. The crystal structure of [FenI(3-Mepy)L2]BPh4 has no such intermolecular interaction and its SCO site behaves independently, and the crystal structure of [FeIII(2-Meim)L2]BPh4 has a NH...n interaction between imidazole group of 2-Meim of cation and a phenyl group of anion BPh4. The result demonstrates that the intermolecular hydrogen bonding affects SCO profile significantly.