scholarly journals (10.4) Face of Ordered and Disordered Dolomite, MgCa(CO3)2: A Computational Study to Reveal the Growth Mechanism

Minerals ◽  
2018 ◽  
Vol 8 (8) ◽  
pp. 323 ◽  
Author(s):  
Marco Bruno ◽  
Erica Bittarello

In this study, the stability of the (10.4) face of dolomite was systematically investigated. The surface energies at 0 K of the different (10.4) surfaces resulting from the cut of both ordered and disordered bulk structures were determined and compared, to establish how different atomic configurations (surface terminations) can affect the stability of the investigated face. To study the thermodynamic behavior of a surface, a 2D periodic slab model and the ab initio CRYSTAL code were adopted. The surface energies of the (10.4) faces of calcite and magnesite were also calculated in order to compare them with those of the different terminations of the (10.4) face of dolomite. Our calculations showed that the bulk of the dolomite crystal must have an ordered structure to reach the minimum of the energy, whereas the (10.4) surface is more stable when its structure is disordered. A growth model of the (10.4) face has been proposed: the peculiarity of this model consists in the existence of some disordered layers forming at the interface crystal/solution, which arrange in an ordered structure once covered by others disordered layers resulting by the spiral steps propagation.

1999 ◽  
Vol 23 (8) ◽  
pp. 502-503
Author(s):  
Branko S. Jursic

High level ab initio and density functional theory studies are performed on highly protonated methane species.


2018 ◽  
Vol 737 ◽  
pp. 207-212 ◽  
Author(s):  
Sung Jin Kang ◽  
Jian-Min Zuo ◽  
Heung Nam Han ◽  
Miyoung Kim

1996 ◽  
Vol 118 (23) ◽  
pp. 5408-5411 ◽  
Author(s):  
Carlos Gonzalez ◽  
Albeiro Restrepo-Cossio ◽  
Manuel Márquez ◽  
Kenneth B. Wiberg

2013 ◽  
Vol 138 (9) ◽  
pp. 094317 ◽  
Author(s):  
A. J. Ochoa-Calle ◽  
R. Hernández-Lamoneda ◽  
A. Ramírez-Solís
Keyword(s):  

1999 ◽  
Vol 121 (51) ◽  
pp. 12029-12034 ◽  
Author(s):  
James A. Duncan ◽  
Joseph K. Azar ◽  
J. Callan Beathe ◽  
Scott R. Kennedy ◽  
Carolyn M. Wulf

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Carlo Bianca ◽  
Massimiliano Ferrara ◽  
Luca Guerrini

A further generalization of an economic growth model is the main topic of this paper. The paper specifically analyzes the effects on the asymptotic dynamics of the Solow model when two time delays are inserted: the time employed in order that the capital is used for production and the necessary time so that the capital is depreciated. The existence of a unique nontrivial positive steady state of the generalized model is proved and sufficient conditions for the asymptotic stability are established. Moreover, the existence of a Hopf bifurcation is proved and, by using the normal form theory and center manifold argument, the explicit formulas which determine the stability, direction, and period of bifurcating periodic solutions are obtained. Finally, numerical simulations are performed for supporting the analytical results.


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