diffusion-fundamentals
The Open-Access Journal for the Basic Principles of Diffusion Theory, Experiment and Application
www.diffusion-fundamentals.org, ISSN 1862-4138; © 2005-2010
Diffusion Fundamentals 12 (2010) 97 © A. Kuhn
Slow Li Exchange in a Li
3
N Single Crystal Measured by
6,7
Li NMR Selective Quadrupole Satellite Inversion
A. Kuhn,
*
P. Heitjans
Leibniz Universität Hannover, Institut für Physikalische Chemie und Elektrochemie,
Callinstr. 3a, 30167 Hannover, Germany
E-Mail: kuhn@pci.uni-hannover.de
Presented at the Bunsen Colloquium: Spectroscopic Methods in Solid State Diffusion and Reactions
September 24
th
− 25
th
, 2009, Leibniz University Hannover, Germany
Lithium nitride, Li
3
N, is one of the best Li conductors at room temperature. Unfortunately, its applica-
tion as electrolyte in batteries is limited due to the low decomposition potential of only 0.45 V. Never-
theless, diffusion in Li
3
N was studied by many groups and various techniques (see [1-3] and refer-
ences therein) which predestines it to act as a model system for the establishment of new techniques.
Li
3
N crystallizes in a layered structure of the hexagonal space group P6/mmm [3,4] (see Fig. 1). There
are two alternating types of layers, one with the stoichiometry Li
2
N, the other containing only Li. As a
result, there are two different Li positions, Li(2) in the Li
2
N layer and Li(1) in the Li layer. Li diffu-
sion in the Li
2
N layer (ab-plane, intralayer diffusion) is fast, while the Li diffusion parallel to the c-
axis is moderate. The mechanism of this interlayer diffusion process is directly associated with a Li
exchange between the two Li positions (see Fig. 1) since the Li ions cannot jump from one Li(2) site
to the other but transitionally reside on a Li(1) site [5]. This makes it possible to measure the interlayer
diffusion process by exchange NMR techniques.
In the case of nuclei with spin I = 1/2, an easy and accurate NMR technique to measure slow exchange
between two spin reservoirs referring to two non-equivalent sites is the selective inversion technique
which uses the pulse sequence π
sel
– t
m
– π/2
det
. The first pulse π
sel
selectively inverts the population
difference of one of the spin reservoirs and thus the peak in the NMR spectrum referring to that cohe-
rence. During the variable mixing time t
m
the negative amplitude of the inverted peak is partially trans-
ferred to the peak corresponding to the inverted one via the exchange process. The detection pulse
π/2
det
transfers the longitudinal magnetization into a detectable transversal magnetization. When the
Fig. 1 The layered structure of Li
3
N [2] with the two differ-
ent Li positions Li(1) and Li(2). The interlayer diffusion
process consists of an exchange process between Li(1) and
Li(2).