Stereology of Microstructural Dihedral Angles in Three-Dimensions
نویسندگان
چکیده
منابع مشابه
non-obtuse dihedral angles
Given a combinatorial description C of a polyhedron having E edges, the space of dihedral angles of all compact hyperbolic polyhedra that realize C is generally not a convex subset of R [9]. If C has five or more faces, Andreev’s Theorem states that the corresponding space of dihedral angles AC obtained by restricting to non-obtuse angles is a convex polytope. In this paper we explain why Andre...
متن کاملRepeated Angles in Three and Four Dimensions
We show that the maximum number of occurrences of a given angle in a set of n points in R3 is O(n7/3), and that a right angle can actually occur Ω(n7/3) times. We then show that the maximum number of occurrences of any angle different from π/2 in a set of n points in R4 is O(n5/2β(n)), where β(n) = 2O(α(n) 2) and α(n) is the inverse Ackermann function.
متن کاملDihedral angles and orthogonal polyhedra
Consider an orthogonal polyhedron, i.e., a polyhedron where (at least after a suitable rotation) all faces are perpendicular to a coordinate axis, and hence all edges are parallel to a coordinate axis. Clearly, any facial angle (i.e., the angle of a face at an incident vertex) is a multiple of π/2. Also, any dihedral angle (i.e., the angle between two planes that support to faces with a common ...
متن کاملTetrahedral Mesh Generation with Good Dihedral Angles
Tetrahedral Mesh Generation with Good Dihedral Angles Using Point Lattices by François Labelle Doctor of Philosophy in Computer Science University of California, Berkeley Professor Jonathan Shewchuk, Chair Three-dimensional meshes are frequently used to perform physical simulations in science and engineering. This involves decomposing a domain into a mesh of small elements, usually tetrahedra o...
متن کاملDisulfide bond dihedral angles from Raman spectroscopy.
Raman spectra of several compounds containing the CS-SC moiety were obtained (in the solid phase) from 450-800 cm(-1) to investigate the S-S and C-S stretching behavior. The S-S stretching frequency varied linearly with the CS-SC dihedral angle (obtained from either x-ray or neutron diffraction or ultraviolet absorption) for compounds whose CC-SS dihedral angles were not very different. The rat...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Microscopy and Microanalysis
سال: 2013
ISSN: 1431-9276,1435-8115
DOI: 10.1017/s1431927613010751