Diffu
sion of Li+ ion
sin
solid
si
sa ba
sic principle behindthe operationof Li-ion batterie
s. Suchdiffu
sive behavior i
s repre
sented by the diffu
sion equation (Fick'
s law),
m>Jm> = 鈭?e
m>D 脳m> 未
m>蠒/m>未
m>xm>, where
m>Jm> i
s the diffu
sion flux,
m>Dm> i
s the
self diffu
sion coeffcient, 蠒 i
s the concentration, and
m>xm> i
s the po
sition. Although
m>Dm> of Li<
sup>+
sup> ion
s(
m>Dm>Li)in
solid
s i
s u
sually evaluatedby <
sup>7
sup>Li-NMR, diffcultie
s ari
se for
material
s that contain
magnetic ion
s. Thi
s i
s becau
se the
magnetic ion
s contribute additional
spin-lattice relaxation proce
sse
s thati
s con
siderably larger than th
e1/
m>Tm>1 expected fro
m only Li diffu
sion. Thi
s i
mplie
s that 7Li-NMRprovide
sa rough e
sti
mateof
m>Dm>Li for the po
sitive electrode
material
s of Li-ion batterie
s, which include tran
sition
metal ion
s in order to co
mpen
sate charge neutrality during a Li<
sup>+
sup> intercala-tion/deintercalation reaction. Thi
s i
s an un
sati
sfactory
situation
since
m>Dm>Li i
s one of the pri
mary para
meter
s that govern the charge/di
scharge rate of a Li-ion battery.
We have, therefore, attempted to measure m>Dm><sub>Lisub> for lithium-transition-metal-oxides with muon-spin relaxation (渭<sup>+sup>SR) since 2005 . Muons do not feel fluctuating magnetic moments at high T, but instead sense the change in nuclear dipole field due to Li diffusion. Even if magnetic moments still affect the muon-spin depolarization rate, such aneffectis, in principle, distinguishablefromthatof nucleardipole fields.In particular,aweak longitudinal field can be applied that decouples the magnetic and nuclear dipole interactions . Here, we wish to summarize our 渭<sup>+sup>SR study on the lithium-transition-metal-oxides, LixCoO2, LiNiO2, and LiCrO2.