How to estimate isotropic distributions and mean values in crystalline solids
نویسندگان
چکیده
منابع مشابه
How to estimate isotropic distributions and mean values in crystalline solids.
The concept of special directions in the Brillouin zone and the applicability of Houston's formula (or its extended versions) to both theoretical and experimental investigations are discussed. We propose some expressions to describe the isotropic component in systems having both cubic and non-cubic symmetry. The results presented have implications for both experimentalists who want to obtain av...
متن کاملNemirovski Estimate of Mean of Arbitrary Distributions with Bounded Variance
Here I share a few notes I used in various course lectures, talks, etc. Some may be just calculations that in the textbooks are more complicated, scattered, or less specific; others may be simple observations I found useful or curious. 1 Nemirovski Estimate of Mean of Arbitrary Distributions with Bounded Variance The popular Chernoff bounds assume severe restrictions on distribution: it must be...
متن کاملThird-rank piezoelectricity in isotropic chiral solids
The highest symmetry in which piezoelectricity was thought to occur is cubic. Here it is shown that third rank piezoelectricity can occur in isotropic chiral solids. Polarization is coupled via an isotropic third rank tensor to the antisymmetric part of the stress. Asymmetric stress can occur if balanced by moments distributed over area or volume. Such moments occur in heterogeneous solids in w...
متن کاملNonlinear elastic inclusions in isotropic solids.
We introduce a geometric framework to calculate the residual stress fields and deformations of nonlinear solids with inclusions and eigenstrains. Inclusions are regions in a body with different reference configurations from the body itself and can be described by distributed eigenstrains. Geometrically, the eigenstrains define a Riemannian 3-manifold in which the body is stress-free by construc...
متن کاملSample sizes to estimate mean values for tassel traits in maize genotypes.
Tassel traits are important in maize breeding programs aiming to reduce the size and number of branches and maintain satisfactory pollen production in order to increase grain yield. The objectives of this study were to determine the sample size (number of tassels) required to estimate the mean values for tassel traits in maize genotypes and to verify the variability of sample size among genotyp...
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: Journal of Physics: Condensed Matter
سال: 2015
ISSN: 0953-8984,1361-648X
DOI: 10.1088/0953-8984/27/43/435501