The electronic relaxation of gadolinium complexes used as MRI contrast agents was studied theoretically by following the short time evolution of zero-field-splitting parameters. The statistical analysis of ab initio molecular dynamics trajectories provided a clear separation between static and transient contributions to the zero-field-splitting. For the latter, the correlation time was estimated at approximately 0.1 ps. The influence of the ligand was also probed by replacing one pendant arm of our reference macrocyclic complex by a bulkier phosphonate arm. In contrast to the transient contribution, the static zero-field-splitting was significantly influenced by this substitution.

1.
P. H.
Fries
,
Eur. J. Inorg. Chem.
2012
,
2156
(
2012
).
2.
J.
Mares
,
H.
Liimatainen
,
T. O.
Pennanen
, and
J.
Vaara
,
J. Chem. Theory Comput.
7
,
3248
(
2011
).
3.
J.
Mares
,
M.
Hanni
,
P.
Lantto
,
J.
Lounila
, and
J.
Vaara
,
Phys. Chem. Chem. Phys.
16
,
6916
(
2014
).
4.
A.
Kubica
,
J.
Kowalewski
,
D.
Kruk
, and
M.
Odelius
,
J. Chem. Phys.
138
,
064304
(
2013
).
5.
A.
Lasoroski
,
R.
Vuilleumier
, and
R.
Pollet
,
J. Chem. Phys.
139
,
104115
(
2013
).
6.
T. T.
Petrenko
,
T. L.
Petrenko
, and
V. Y. J.
Bratus
,
J. Phys. Condens. Matter
14
,
12433
(
2002
).
7.
M. R.
Pederson
and
S. N.
Khanna
,
Phys. Rev. B
60
,
9566
(
1999
).
8.
F.
Neese
,
J. Am. Chem. Soc.
128
,
10213
(
2006
).
9.
F.
Neese
,
J. Chem. Phys.
127
,
164112
(
2007
).
10.
C.
van Wüllen
,
J. Phys. Chem. A
113
,
11535
(
2009
).
11.
C.
van Wüllen
,
J. Chem. Phys.
130
,
194109
(
2009
).
12.
S.
Schmitt
,
P.
Jost
, and
C.
van Wüllen
,
J. Chem. Phys.
134
,
194113
(
2011
).
13.
R.
Reviakine
,
A. V.
Arbuznikov
,
J.-C.
Tremblay
,
C.
Remenyi
,
O. L.
Malkina
,
V. G.
Malkin
, and
M.
Kaupp
,
J. Chem. Phys.
125
,
054110
(
2006
).
14.
R.
Pollet
and
D.
Marx
,
J. Chem. Phys.
126
,
181102
(
2007
).
15.
R.
Pollet
,
N.
Nair
, and
D.
Marx
,
Inorg. Chem.
50
,
4791
(
2011
).
16.
J.
Hutter
 et al., CPMD Software Package, see www.cpmd.org.
17.
J. P.
Perdew
,
K.
Burke
, and
M.
Ernzerhof
,
Phys. Rev. Lett.
77
,
3865
(
1996
);
[PubMed]
J. P.
Perdew
,
K.
Burke
, and
M.
Ernzerhof
,
Phys. Rev. Lett.
78
,
1396
(
1997
) (Erratum).
18.
D.
Vanderbilt
,
Phys. Rev. B
41
,
7892
(
1990
).
19.
D.
Marx
and
J.
Hutter
,
Ab initio Molecular Dynamics: Basic Theory and Advanced Methods
(
Cambridge University Press
,
Cambridge
,
2009
).
20.
F.
Neese
,
Comput. Mol. Sci.
2
,
73
(
2012
).
21.
S.
Sinnecker
and
F.
Neese
,
J. Phys. Chem. A
110
,
12267
(
2006
).
22.
See supplementary material at http://dx.doi.org/10.1063/1.4885848 for benchmarks related to the choice of the density functional, the spin-orbit method, and the basis set.
23.
M.
Benmelouka
,
J.
van Tol
,
A.
Borel
,
M.
Port
,
L.
Helm
,
L. C.
Brunel
, and
A. E.
Merbach
,
J. Am. Chem. Soc.
128
,
7807
(
2006
).
24.
D. D.
Castelli
,
M. C.
Caligara
,
M.
Botta
,
E.
Terreno
, and
S.
Aime
,
Inorg. Chem.
52
,
7130
(
2013
).
25.
F.
Senn
,
L.
Helm
,
A.
Borel
, and
C. A.
Daul
,
C. R. Chim.
15
,
250
(
2012
).
26.
M.
Odelius
,
C.
Ribbing
, and
J.
Kowalewski
,
J. Chem. Phys.
103
,
1800
(
1995
).
27.
M.
Lindgren
,
A.
Laaksonen
, and
P.-O.
Westlund
,
Phys. Chem. Chem. Phys.
11
,
10368
(
2009
).
28.
P.-O.
Westlund
,
N.
Benetis
, and
H.
Wennerstrom
,
Mol. Phys.
61
,
177
(
1987
).
29.
D. H.
Powell
,
O. M. N.
Dhubhghaill
,
D.
Pubanz
,
L.
Helm
,
Y. S.
Lebedev
,
W.
Schlaepfer
, and
A. E.
Merbach
,
J. Am. Chem. Soc.
118
,
9333
(
1996
).
30.
P.
Caravan
,
J. J.
Ellison
,
T. J.
McMurry
, and
R. B.
Lauffer
,
Chem. Rev.
99
,
2293
(
1999
).
31.
D.
Kruk
,
T.
Nilsson
, and
J.
Kowalewski
,
Phys. Chem. Chem. Phys.
3
,
4907
(
2001
).
32.
L.
Tei
,
M.
Botta
,
C.
Lovazzano
,
A.
Barge
,
L.
Milone
, and
S.
Aime
,
Magn. Reson. Chem.
46
,
S86
(
2008
).
33.
D. J.
Mastarone
,
V. S. R.
Harrison
,
A. L.
Eckermann
,
G.
Parigi
,
C.
Luchinat
, and
T. J.
Meade
,
J. Am. Chem. Soc.
133
,
5329
(
2011
).
34.
P.-H.
Fries
and
E.
Belorizky
,
ChemPhysChem
13
,
2074
(
2012
).
35.
J.
Rudovsky
,
P.
Cigler
,
J.
Kotek
,
P.
Hermann
,
P.
Vojtisek
,
I.
Lukes
,
J. A.
Peters
,
L. V.
Elst
, and
R. N.
Muller
,
Chem. Eur. J.
11
,
2373
(
2005
).
36.
M.
Benmelouka
,
A.
Borel
,
L. M. L.
Helm
, and
A. E.
Merbach
,
J. Phys. Chem. B
111
,
832
(
2007
).

Supplementary Material

You do not currently have access to this content.