Analytical methods for fast converging lattice sums for cubic and hexagonal close-packed structures

2020 ◽  
Vol 61 (12) ◽  
pp. 123503
Author(s):  
Antony Burrows ◽  
Shaun Cooper ◽  
Elke Pahl ◽  
Peter Schwerdtfeger
Keyword(s):  
Analytical Methods ◽  
Lattice Sums ◽  
Hexagonal Close Packed

Evidence for a shear mechanism for the precipitation of γ-zirconium hydride in zirconium

1978 ◽  
Vol 36 (1) ◽  
pp. 658-659
Author(s):  
G.J.C. Carpenter
Keyword(s):  
Elevated Temperature ◽  
Strain Field ◽  
Zirconium Hydride ◽  
Zirconium Atom ◽  
Atom Diffusion ◽  
Solvus Temperature ◽  
Hexagonal Close Packed ◽  
Partial Dislocations ◽  
The Face

In zirconium-hydrogen alloys, rapid cooling from an elevated temperature causes precipitation of the face-centred tetragonal (fct) phase, γZrH, in the form of needles, parallel to the close-packed <1120>zr directions (1). With low hydrogen concentrations, the hydride solvus is sufficiently low that zirconium atom diffusion cannot occur. For example, with 6 μg/g hydrogen, the solvus temperature is approximately 370 K (2), at which only the hydrogen diffuses readily. Shears are therefore necessary to produce the crystallographic transformation from hexagonal close-packed (hep) zirconium to fct hydride.The simplest mechanism for the transformation is the passage of Shockley partial dislocations having Burgers vectors (b) of the type 1/3<0110> on every second (0001)Zr plane. If the partial dislocations are in the form of loops with the same b, the crosssection of a hydride precipitate will be as shown in fig.1. A consequence of this type of transformation is that a cumulative shear, S, is produced that leads to a strain field in the surrounding zirconium matrix, as illustrated in fig.2a.

Stereo modeling of HVEM specimens by serial tilting and computer graphics

1986 ◽  
Vol 44 ◽  
pp. 34-35
Author(s):  
J.R. McIntosh ◽  
D.L. Stemple ◽  
William Bishop ◽  
G.W. Hannaway
Keyword(s):  
Computer Graphics ◽  
Analytical Methods ◽  
Photographic Film ◽  
Complex Structures ◽  
Multiple Objects ◽  
Multiple Images ◽  
3 Dimensional

EM specimens often contain 3-dimensional information that is lost during micrography on a single photographic film. Two images of one specimen at appropriate orientations give a stereo view, but complex structures composed of multiple objects of graded density that superimpose in each projection are often difficult to decipher in stereo. Several analytical methods for 3-D reconstruction from multiple images of a serially tilted specimen are available, but they are all time-consuming and computationally intense.

Analytical methods to explore Amyloid-β-Peptide variants beyond Aβ1-40 and Aβ1-42

2015 ◽  
Vol 48 (06) ◽  
Author(s):  
H Esselmann ◽  
C Hafermann ◽  
O Jahn ◽  
I Kraus ◽  
J Vogelgsang ◽  
...  
Keyword(s):  
Analytical Methods ◽  
Amyloid Β ◽  
Amyloid Β Peptide

العربية المقاربة المقاصديّة في ردّ ابن فودي على القادح في جلستهم الدعويّة

2018 ◽  
Vol 6 (3) ◽  
Author(s):  
Alawiye Abdulmumin Abdurrazzaq ◽  
Ahmad Wifaq Mokhtar ◽  
Abdul Manan Ismail
Keyword(s):  
Nineteenth Century ◽  
West Africa ◽  
Subject Matter ◽  
Analytical Methods ◽  
Men And Women ◽  
The Subject

This article is aimed to examine the extent of the application of Islamic legal objectives by Sheikh Abdullah bn Fudi in his rejoinder against one of their contemporary scholars who accused them of being over-liberal about the religion. He claimed that there has been a careless intermingling of men and women in the preaching and counselling gathering they used to hold, under the leadership of Sheikh Uthman bn Fudi (the Islamic reformer of the nineteenth century in Nigeria and West Africa). Thus, in this study, the researchers seek to answer the following interrogations: who was Abdullah bn Fudi? who was their critic? what was the subject matter of the criticism? How did the rebutter get equipped with some guidelines of higher objectives of Sharĩʻah in his rejoinder to the critic? To this end, this study had tackled the questions afore-stated by using inductive, descriptive and analytical methods to identify the personalities involved, define and analyze some concepts and matters considered as the hub of the study.

مشروعية نكاح المتعة عند الإمامية الإثنى عشرية وموقف المذاهب الإسلامية منها

2019 ◽  
Vol 7 (2) ◽  
Author(s):  
fithriah wardi
Keyword(s):  
Analytical Methods ◽  
Points Of View

Both fuqaha (Moslem jurists) of the Sunni and the Shi’ah are in agreement that Mut’ah marriage was permitted at the beginning of Islam, based on Al-quran verses and Rasulullah (pbuh) hadiths. However, they disagree as to the annulment and permissibility. The Shi’as considered Mut’ah marriage as permitted until the Day of Resurrection, meanwhile the Sunni viewed it as forbidden. The execution of Mut’ah marriage has always been singled out as one of the specific features of the Shi’ite doctrine in which denying it means denial of the religion. They also believe that woman who practised Mut’ah marriage will result in her sins being forgiven. According to the Shi’ites, Mut’ah marriage is one of the biggest reasons for someone to be granted heaven, and his status be elevated to the rank of the Holy Prophet PBUH. Hence, it can be said that practicing Mut’ah marriage is one of the most crucial issues among the Shi’ite community which is totally contradicted to the Sunni doctrine which believed it is unlawful marriage and equalized to Zina (adultery). There is no doubt that this is one of the most important topics that lead to the dispute between the two schools of thought. Using the descriptive and analytical methods, this study aims to elaborate the views on the issue from Shi’ite and Sunni points of view based on various proofs (adillah) and their argumentations in supporting the views.

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