The X-ray Transform and its Application in Nano Crystallography

Authors

  • Rajab Ali Kamyabi-Gol Department of Pure Mathematics and Centre of Excellence in Analysis on Algebraic Structures (CEAAS), Ferdowsi University of Mashhad
  • tajedin derikvand nternational Campus, Faculty of Mathematic Sciences, Ferdowsi University of Mashhad
Abstract:

In this article a review on the definition of the X- ray transform and some ofits applications in Nano crystallography is presented. We shall show that the X- raytransform is a special case of the Radon transform on homogeneous spaces when thetopological group E(n)- the Euclidean group - acts on ℝ2 transitively. First someproperties of the Radon transform are investigated then the relationship to texture analysisis briefly illustrated. Finally, some of its applications in material structure detection at theNano scale are studied.

Upgrade to premium to download articles

Sign up to access the full text

Already have an account?login

similar resources

extraction and characterization of allium irancum plant extract and its application in the green synthesis of silver nano particles and oxidation of thiocarbony1 compounds

سنتز سبز نانوذرات فلزی (nps) درسالهای اخیر توجه بسیارزیادی را به خود جلب کرده است. زیرا این پروتوکل کم هزینه وسازگار با محیط زیست از روش های استاندارد سنتز. در این پایان نامه ما گزارش میکنیم یک روش ساده و سازگار با محیط زیست برای سنتز نانوذرات نقره با استفاده از محلول آبی عصاره گیاه allium iranicum به عنوان یک عامل کاهش دهنده ی طبیعی. نانو ذرات نقره مشخص شد با استفاده از تکنیک های uv-visible، x...

Phase Problem in X-ray Crystallography, and Its Solution

X-ray diffraction provides one of the most important tools for examining the three-dimensional (3D) structure of biological macromolecules. The physics of diffraction requires that in order to resolve features of atomic structure it is necessary to employ radiation with a wavelength of the order of atomic spacing or smaller. Xrays have suitable wavelength, and interact with the electrons of the...

full text

Review x Ray crystallography

x Ray crystallography is currently the most favoured technique for structure determination of proteins and biological macromolecules. Increasingly, those interested in all branches of the biological sciences require structural information to shed light on previously unanswered questions. Furthermore, the availability of a protein structure can provide a more detailed focus for future research. ...

full text

X-ray lasers and crystallography

The development of X-ray lasers and their applications in crystallography is described. In the birth of this new field, IUCrJ is ideally positioned to present this research to both specialists in crystallography, and to the wider audience in structural biology.

full text

Bayesian Signal Reconstruction from Fourier Transform Magnitude in the Presence of Symmetries and X-ray Crystallography

In Ref. [I] a signal reconstruction problem motivated by x-ray crystallography was solved using a Bayesian statistical approach. The signal is zero-one, periodic, and substantial statistical a priori information is known, which is modeled with a Markov random field. The data are inaccurate magnitudes of the Fourier coefficients of the signal. The solution is explicit and the computational burde...

full text

My Resources

Save resource for easier access later

Save to my library Already added to my library

{@ msg_add @}


Journal title

volume 2  issue 1

pages  29- 40

publication date 2017-05-01

By following a journal you will be notified via email when a new issue of this journal is published.

Hosted on Doprax cloud platform doprax.com

copyright © 2015-2023