crystalline solids
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2022 ◽  
pp. 1-23
Author(s):  
Zeeshan Ali ◽  
Tahir Mahmood ◽  
Kifayat Ullah ◽  
Ronnason Chinram

The major contribution of this analysis is to analyze the confidence complex q-rung orthopair fuzzy weighted averaging (CCQROFWA) operator, confidence complex q-rung orthopair fuzzy ordered weighted averaging (CCQROFOWA) operator, confidence complex q-rung orthopair fuzzy weighted geometric (CCQROFWG) operator, and confidence complex q-rung orthopair fuzzy ordered weighted geometric (CCQROFOWG) operator and invented their feasible properties and related results. Future more, under the invented operators, we diagnosed the best crystalline solid from the family of crystalline solids with the help of the opinion of different experts in the environment of decision-making strategy. Finally, to demonstrate the feasibility and flexibility of the invented works, we explored the sensitivity analysis and graphically shown of the initiated works.


Nanoscale ◽  
2022 ◽  
Author(s):  
Anish V. Dighe ◽  
Paria Coliaie ◽  
Prem K. R. Podupu ◽  
Meenesh R. Singh

Illustrated is a two-step nucleation process, where solute molecules in the solution are first partially desolvated to form locally dense liquid clusters followed by selective desolvation to yield crystalline solids.


2021 ◽  
pp. 2100103
Author(s):  
Yuan‐Fei Gao ◽  
Jia‐Min Lai ◽  
Jun Zhang

2021 ◽  
pp. 1-2
Author(s):  
William D Nix

Abstract For nearly 60 years the book “Theory of Dislocations” by John P. Hirth and Jens Lothe has been the authoritative reference on the theory of dislocations. The reputation of the book was that it was not for the feint of heart. Rather it was widely considered to be the authoritative reference to be consulted only after the reader had started with more elementary books on dislocations like “Introduction to Dislocations” by Derek Hull and David J. Bacon or “Elementary Dislocation Theory” by Johannes and Julia R. Weertman. More recently the book by Wei Cai and William D. Nix, “Imperfections in Crystalline Solids” has provided an intermediate introduction to dislocations as a bridge between the more elementary books just cited and the book by Hirth and Lothe, which was written for experienced researchers. Now, with the Third Edition of “Theory of Dislocations,” with Peter M. Anderson as the lead author, the classic book by Hirth and Lothe has been made much more assessible to a wider audience of students and researchers. Without sacrificing any of the rigor found in the first two editions of “Theory of Dislocations,” the Third Edition provides a much more tutorial approach to understanding and appreciating the theory of dislocations.


2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Luis Elcoro ◽  
Benjamin J. Wieder ◽  
Zhida Song ◽  
Yuanfeng Xu ◽  
Barry Bradlyn ◽  
...  

AbstractFor over 100 years, the group-theoretic characterization of crystalline solids has provided the foundational language for diverse problems in physics and chemistry. However, the group theory of crystals with commensurate magnetic order has remained incomplete for the past 70 years, due to the complicated symmetries of magnetic crystals. In this work, we complete the 100-year-old problem of crystalline group theory by deriving the small corepresentations, momentum stars, compatibility relations, and magnetic elementary band corepresentations of the 1,421 magnetic space groups (MSGs), which we have made freely accessible through tools on the Bilbao Crystallographic Server. We extend Topological Quantum Chemistry to the MSGs to form a complete, real-space theory of band topology in magnetic and nonmagnetic crystalline solids – Magnetic Topological Quantum Chemistry (MTQC). Using MTQC, we derive the complete set of symmetry-based indicators of electronic band topology, for which we identify symmetry-respecting bulk and anomalous surface and hinge states.


2021 ◽  
Vol 198 ◽  
pp. 110705
Author(s):  
Richard G. Hoagland ◽  
Saryu J. Fensin
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