Orientations and Rotations: Computations in Crystallographic - download pdf or read online

By Adam Morawiec

ISBN-10: 3642073867

ISBN-13: 9783642073861

ISBN-10: 3662091569

ISBN-13: 9783662091562

The ebook is set mathematical and computational foundations of texture research. Numerical recommendations are imperative in texture research, so the ebook is essentially addressed to researchers and scholars utilizing those innovations in practice.

Orientations and Rotations is particularly various from different books on textures in its content material and point of interest. significant a part of the booklet is dedicated to orientations and rotations normally. establishing chapters comprise an intensive and thorough advent to rotations in 3 dimensions (including parameterizations and geometry of the rotation space). extra chapters also are basic yet they are going to be of curiosity for readers facing orientations of symmetric gadgets. This topic is vital for crystallographic textures because so much crystal constructions are symmetric. the ultimate chapters situation simpler facets of textures (such because the choice of orientations from diffraction styles and the calculation of potent elastic homes of polycrystals).

The e-book can be of curiosity for scientists engaged on plasticity, grain limitations, recrystallisation, grain development, and various different concerns within which textures has to be taken under consideration. as a result wide components on rotations ordinarily, the booklet will be helpful for everybody facing rotations

Show description

Read Online or Download Orientations and Rotations: Computations in Crystallographic Textures PDF

Similar crystallography books

Download e-book for kindle: Theoretical methods in condensed phase chemistry by S.D. Schwartz

This e-book provides probably the most fresh advances within the thought of chemical approaches within the condensed part. The techniques and purposes studied within the ebook range greatly from classical mechanics to quantum mechanics, encompassing quite a number structures from atom move reactions in easy fluids to cost move in water to organic platforms.

Precursor-Derived Ceramics: Synthesis, Structure and - download pdf or read online

The construction of high-purity ceramic fabrics from low-molecular weight, inorganic or organoelement precursors is a subject of accelerating relevance inside fabrics technology. With this rising expertise it truly is attainable to exactly tailor the homes of the ceramic fabric which permits new high-temperature or digital functions.

Joseph Puglisi's Biophysics and the Challenges of Emerging Threats (NATO PDF

Single-molecule innovations cast off ensemble averaging, hence revealing brief or infrequent species in heterogeneous structures [1–3]. those methods were hired to probe myriad organic phenomena, together with protein and RNA folding [4–6], enzyme kinetics [7, 8], or even protein biosynthesis [1, nine, 10].

D.M. Roundhill's Photochemistry and Photophysics of Metal Complexes PDF

Concentrating on sensible functions, the writer presents a balanced creation to the various attainable technological makes use of of steel complexes. insurance contains the transition metals, lanthanide and actinide complexes, steel porphyrins, and lots of different complexes. This quantity meets the wishes of scholars and scientists in inorganic chemistry, chemical physics, and solid-state physics.

Extra resources for Orientations and Rotations: Computations in Crystallographic Textures

Sample text

30), and t' ----+ t" = (a' t' + b') / (c' t' + d') [~~] is assigned (a'd' - b'c' = 1) corresponds to then the appropriate matrix for t ----+ t" is [~: ~] [~~]. t:::::J f(Jl1 InAntihomographies analogy, the so-called antihomographies can be considered. An antihomography is a transformation of the complex plane defined by t ~ t' = a! + b ct + d ' ad-bci-O. The composition of two antihomographies is a homography. The composition of homography and antihomography (in arbitrary order) is an antihomography.

Thus, the above formulas are consistent, and correctly determine the angles 'PI, c/J and 'P2· If 0 33 = COS c/J = 1, then sin('P1 + 'P2) = 0 12 , COS('P1 + 'P2) = 0 11 . Similarly, if 0 33 = COS c/J = -1, then This shows that the correspondence between the matrices and Euler angles is unambiguous only if c/J i= 0 and c/J i= 7r. If c/J = 0, only the sum of 'PI and 'P2 is uniquely related to the rotation. One can write O( 'PI, 0, 'P2) = O( 'PI +0:,0, 'P2 -0:), where 0: is arbitrary, and addition and subtraction of 0: are modulo 27r.

Let us consider a composition of two rotations with axes and angles (n, w) and (n', w'). The next step is to decompose each of the rotations into two reflections O( n, w) = (I - 2L) (I - 2K) and O( n', w') = (I - 2L') (I - 2K'). ) Now, the arbitrariness in the choice of the reflecting planes allows the second reflection plane in decomposition of (n, w) to be the same as the first mirror of (n', w'). Geometrically, this means that the plane contains both n and n'. The choice can be expressed as K' = L.

Download PDF sample

Orientations and Rotations: Computations in Crystallographic Textures by Adam Morawiec

by Anthony

Rated 4.16 of 5 – based on 38 votes