scholarly journals On the calculation of the inverse isotope effect in PdH(D): A Migdal-Eliashberg theory approach

2018 ◽  
Vol 119 ◽  
pp. 80-84 ◽  
Author(s):  
S. Villa-Cortés ◽  
R. Baquero
2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Paul M. Magyar ◽  
Damian Hausherr ◽  
Robert Niederdorfer ◽  
Nicolas Stöcklin ◽  
Jing Wei ◽  
...  

AbstractAnaerobic ammonium oxidation (anammox) plays an important role in aquatic systems as a sink of bioavailable nitrogen (N), and in engineered processes by removing ammonium from wastewater. The isotope effects anammox imparts in the N isotope signatures (15N/14N) of ammonium, nitrite, and nitrate can be used to estimate its role in environmental settings, to describe physiological and ecological variations in the anammox process, and possibly to optimize anammox-based wastewater treatment. We measured the stable N-isotope composition of ammonium, nitrite, and nitrate in wastewater cultivations of anammox bacteria. We find that the N isotope enrichment factor 15ε for the reduction of nitrite to N2 is consistent across all experimental conditions (13.5‰ ± 3.7‰), suggesting it reflects the composition of the anammox bacteria community. Values of 15ε for the oxidation of nitrite to nitrate (inverse isotope effect, − 16 to − 43‰) and for the reduction of ammonium to N2 (normal isotope effect, 19–32‰) are more variable, and likely controlled by experimental conditions. We argue that the variations in the isotope effects can be tied to the metabolism and physiology of anammox bacteria, and that the broad range of isotope effects observed for anammox introduces complications for analyzing N-isotope mass balances in natural systems.


ACS Catalysis ◽  
2019 ◽  
Vol 9 (3) ◽  
pp. 2657-2663 ◽  
Author(s):  
Ying Zhang ◽  
Malkanthi K. Karunananda ◽  
Hsien-Cheng Yu ◽  
Kyle J. Clark ◽  
Wendy Williams ◽  
...  

2001 ◽  
Vol 120 (1-3) ◽  
pp. 713-714 ◽  
Author(s):  
Aravinda M. Kini ◽  
John A. Schlueter ◽  
Brian H. Ward ◽  
Urs W. Geiser ◽  
H.Hau Wang

2019 ◽  
Vol 31 (7) ◽  
pp. 075703 ◽  
Author(s):  
S Ostanin ◽  
V Borisov ◽  
D V Fedorov ◽  
E I Salamatov ◽  
A Ernst ◽  
...  

1992 ◽  
Vol 45 (21) ◽  
pp. 12405-12414 ◽  
Author(s):  
Barry M. Klein ◽  
Ronald E. Cohen

1975 ◽  
Vol 30 (2) ◽  
pp. 250-255
Author(s):  
W. Kessel

Abstract Isotope Effect and Pressure Coefficient of the Superconducting Transition Temperature within the Eliashberg-Theory Starting from the observation that both the mass of the ions and their volume control the phonon frequencies by stretching the phonon spectrum, the change of the Eliashberg-equations of the theory of superconductivity regarding these stretchings is considered. General expressions for the isotopic exponent and the pressure coefficient of the transition temperature are derived in which only derivatives of the transition temperature with respect to the fundamental parameters of the theory are involved. A comparison with experimental values shows that lead is not the metal with the highest transition temperature possible under the simple metals.


2011 ◽  
Vol 312-315 ◽  
pp. 295-300 ◽  
Author(s):  
Osamu Yoshinari

The diffusion coefficients of hydrogen (H) and deuterium (D) in Pd were determined in the frame of a quantum mechanical consideration. The three dimensional (3D) wave functions and eigenenergies of H and D at a stable octahedral (o) site and a metastable tetrahedral (t) site were determined by solving the Schrödinger equation with 3D potentials obtained by the first principles calculation. The states of H and D along the diffusion path were also determined by using transient potentials which were obtained with an aid of the nudged elastic band method. The magnitudes of tunneling matrix elements (J) were evaluated from the eigenenergy curves along the diffusion path. In the Pd-H system, thermally activated tunneling transitions are dominant jump processes. On the other hand, in the Pd-D system, it is revealed that a transition via an extended state where the wave function spreads both to o- and t-sites also has a considerable contribution to the diffusion. The calculated diffusion coefficients for H and D quantitatively agreed with experimental values and the so-called inverse isotope effect was reproduced.


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