Polyconvex Models for Arbitrary Anisotropic Materials

Ebbing, Vera; Schröder, Jörg; Neff, Patrizio

doi:10.1002/pamm.200810415

Cited by 3 publications

(1 citation statement)

References 11 publications

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“…The c 1 T τ − probability density as well as the spectra in figure 3a-d were obtained from the piecewise 3D inversion of the experimental spectra described in section 3.2. Such a 3D analysis improves the resolution along the inverted dimensions because the regularization used implies discrete smoothing norms, which improve the reconstruction of the signal [38]. It has the advantage compared to a smoothing after multiple individual 2D inversions that the sensitivity gain obtained from the smoothing benefits the resolution of the inverted data.…”

Section: D-iltmentioning

confidence: 99%

Experimental evidence for the relaxation coupling of all longitudinal 7Li magnetization orders in the superionic conductor Li10GeP2S12

Paulus

Schleker

et al. 2019

Journal of Magnetic Resonance

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This contribution addresses the experimental proof of the relaxation coupling of the 7 Li (I=3/2) longitudinal magnetization orders in the solid-state electrolyte Li 10 GeP 2 S 12 (LGPS). This effect was theoretically described by Korb and Petit in 1988 but has not yet been shown experimentally. In a 2D-T 1 /spin-alignment echo (SAE) experiment, the inverse Laplace transformation of the spectral component over two time dimensions revealed the asymmetric course of the spin-lattice relaxation following from the coupling of all longitudinal orders. These observations were supported by Multiquantum-filter experiments and by simulations of the 2D-T 1 /SAE experiment with a lithium spin system. Since the asymmetric relaxation effects are directly dependent on the velocities and degrees of freedom of ion motion they could be used esspecially in fast Li-ion conductors as a seperation tool for environments with different mobility processes.

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Section: D-iltmentioning

confidence: 99%

Experimental evidence for the relaxation coupling of all longitudinal 7Li magnetization orders in the superionic conductor Li10GeP2S12

Paulus

Schleker

et al. 2019

Journal of Magnetic Resonance

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Polyconvex Energies for Trigonal, Tetragonal and Cubic Symmetry Groups

Schröder

Neff

Ebbing

2010

IUTAM Symposium on Variational Concepts With Applications to the Mechanics of Materials

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Investigation of the Li-ion conduction behavior in the Li10GeP2S12 solid electrolyte by two-dimensional T1-spin alignment echo correlation NMR

Paulus

Graf

Harks

et al. 2018

Journal of Magnetic Resonance

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LiGePS (LGPS) is the fastest known Li-ion conductor to date due to the formation of one-dimensional channels with a very high Li mobility. A knowledge-based optimization of such materials for use, for example, as solid electrolyte in all-solid-state batteries requires, however, a more comprehensive understanding of Li ion conduction that considers mobility in all three dimensions, mobility between crystallites and different phases, as well as their distributions within the material. The spin alignment echo (SAE) nuclear magnetic resonance (NMR) technique is suitable to directly probe slow Li ion hops with correlation times down to about 10 s, but distinction between hopping time constants and relaxation processes may be ambiguous. This contribution presents the correlation of the Li spin lattice relaxation (SLR) time constants (T) with the SAE decay time constant τ to distinguish between hopping time constants and signal decay limited by relaxation in the τ distribution. A pulse sequence was employed with two independently varied mixing times. The obtained multidimensional time domain data was processed with an algorithm for discrete Laplace inversion that does not use a non-negativity constraint to deliver 2D SLR-SAE correlation maps. Using the full echo transient, it was also possible to estimate the NMR spectrum of the Li ions responsible for each point in the correlation map. The signal components were assigned to different environments in the LGPS structure.

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Polyconvex Models for Arbitrary Anisotropic Materials

Cited by 3 publications

References 11 publications

Experimental evidence for the relaxation coupling of all longitudinal 7Li magnetization orders in the superionic conductor Li10GeP2S12

Experimental evidence for the relaxation coupling of all longitudinal 7Li magnetization orders in the superionic conductor Li10GeP2S12

Polyconvex Energies for Trigonal, Tetragonal and Cubic Symmetry Groups

Investigation of the Li-ion conduction behavior in the Li10GeP2S12 solid electrolyte by two-dimensional T1-spin alignment echo correlation NMR

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