1
88
B. Cristóvão et al. / Polyhedron 68 (2014) 180–190
II
III
II
crystal field parameter set corresponding to the highest symmetry
The model system comprises a trinuclear complex Ni –Pr –Ni
0
0
D
5d involving only two nonzero parameters B and B (in the case
(2) exchange coupled through the oxygen bridges. Due to the
inversion symmetry we assume a single exchange coupling con-
stant JNiPr. The best fit to the experimental data was found for
the following set of parameters (the CF parameters, the zero-
field splitting parameter D, and the exchange coupling are
2
4
0
0
0
5
of cerium) and four nonzero parameters B , B , B , and B (in the
2
4
6
6
case of praseodymium). Otherwise the many-dimensional fits
where only powder data are available will be of poor reliability.
In the case of compound 2 the simulated susceptibility data re-
5
6
ꢁ1
0
2
2
vealed a very weak dependence on the crystal field parameter B ,
given in cm ): gNi ¼ 2:15ð2Þ; J
¼ ꢁ1:3ð8Þ; D ¼ 7:1ð4Þ; A hr i ¼
NiPr
6
0
4
4
0
6
therefore it was dropped from the calculations. The best fit was ob-
tained successfully with this restricted parameter set. Uncertainties
of the parameters were estimated in a standard way using the sec-
ond derivatives of the test function, which corresponds to the 100%
ꢁ310ð9Þ; A hr i ¼ 235ð11Þ; A hr i ¼ 80ð8Þ. The agreement factors
obtained for the susceptibility and magnetization data are
ꢁ4
ꢁ4
III
1.5 ꢂ 10 and 1.3 ꢂ 10 , respectively.
The spectrum of the Pr center consists of one singlet and four
tolerance deviation.
doublets. The lowest level is a singlet substate |0i (Table S3). The
first excited state comprises the |±1i states and the highest lying
doublet is built of |±2i substates. The population of the lowest sin-
glet at T = 2 K is practically 100%. It is only at T = 100 K that the
population of the first excited level (5.9%) stops being negligible.
The populations of the successive substates at T = 150 K are
81.4%, 16.3%, 1.3%, 0.6%, and 0.4%, respectively. This explains the
q
k
The crystal field parameters B as well as the zero field splitting
tensor do depend on the coordinate frame in which the Hamilto-
nian is calculated. Therefore one of the first tasks to be done was
to fix the local frame in which to do the calculations. Because of
the fact that the position of the Ce /Pr ion coincides with the
inversion center the origin of the local frame was fixed at that po-
sition. The coordination sphere of the Ce /Pr ion comprises ten
oxygen ions denoted in the cif file by symbols O1, O2, O3, O4,
and O7 (there are two ions related by inversion symmetry corre-
sponding to one symbol) forming two mutually parallel pentagons.
The z axis of the local frame was chosen to point perpendicular to
the plane comprising the center of gravity of the pentagonal frame-
work and minimizing the sum of the distances between the plane
and the ions. The x direction of the local frame was fixed as the pro-
III
III
III
III
steady decrease of the
sharp down-turn of the
cribed to the substantial zero-field splitting parameter of the Ni
centers. Solid lines in Fig. 8 show the best fit curves for the suscep-
tibility and isothermal magnetization.
v
T product on lowering temperature. The
T curve at lowest temperatures is as-
v
II
ꢁ
1
The values of the zero-field splitting parameter D = 6.3(4) cm
ꢁ
1
(1) and D = 7.1(4) cm (2), respectively are comparable to that
II
III
II
found in a trinuclear complex Ni –Gd –Ni [35] ([(LNi) Gd](NO ),
2
3
II
II
jection onto that plane of the Ni to Ni direction. The y axis was
determined so that the three axes x, y, and z form a right handed
triplet. The coordination sphere of each Ni ion forming distorted
L: triamine1,1,1-tris(aminomethyl)ethane) with octahedral coordi-
ꢁ
1
ꢁ1
nation of the nickel ions (4.5 cm ) [35a]. A lower value (1.5 cm
)
II
II
III
was detected in the heterodinuclear complex [Ni L)Gd (hfac)
2
pseudooctahedral geometry comprises six ions denoted by O1,
O2, N1, N2, O6, O8. The z axis of the corresponding local frame
was chosen as the direction of the vector joining O8 and O6 ions.
The x axis of that frame was assumed to be the direction perpen-
dicular to the z axis and pointing to the position of O1 ion. The y
axis was calculated so that the three x, y, and z axes form a right-
handed triple. Due to the inversion symmetry the local frames of
(EtOH)] (H L = 1,1,1-tris[(salicylideneamino)methyl]ethane, hfac =
hexafluoroacetylacetonate) [35b].
3
3.4. Electronic absorption spectra and luminescence properties
The photophysical properties of Schiff base ligand H L (a) and
2
II
III
II
its heterometallic trinuclear Ni –Pr –Ni (b) complex have been
examined in methanol solution at room temperature and com-
pared with those obtained for mononuclear [NiL(H O) ] (c) Schiff
II
thus defined local frames of the Ni ions are related by that sym-
III
metry. Fig. 11 shows the main local frame with origin at the Ce
2
2
II
center and both auxiliary local frames of the Ni centers.
base complex (the structure of this compound was reported by
us earlier [4]). The obtained results are summarized in Table 4
and Figs. 12 and 13. The absorption spectrum of the Schiff base li-
gand is characterized by three absorption bands in the region 200–
1
III
The ground state arising from the 4f configuration of the Ce ion
is 2F5/2. The dimension of its ground-state subspace is hence 6. The
theoretically predicted value of the Landé factor is 6/7(ꢃ0.86). The
II
III
II
⁄
⁄
model system comprises a trinuclear complex Ni –Ce –Ni (1) ex-
600 nm, which are assigned to p–p and n–p transition, respec-
change coupled through the oxygen bridges. Due to the inversion
tively. As shown in Table 4 and Fig. 12, the absorption spectra of
the metal complexes exhibit a quite similar absorption profiles.
The absorption band maxima of complexes are shifted to lower
symmetry we assume a single exchange coupling constant JNiCe
.
The best fit to the experimental data was found for the following
set of parameters (the CF parameters, the zero-field splitting param-
or higher wavelengths compared to free ligand H L, due to com-
2
ꢁ1
eter D, and the exchange coupling are given in cm ):
plexation. The molar absorption coefficients, e, of both bands of
0
2
2
0
4
4
II
III
II
gNi ¼ 2:23ð3Þ; J
¼ ꢁ1:1ð4Þ; D ¼ 6:3ð4Þ; A hr i ¼ ꢁ265ð10Þ; A hr i
complex Ni –Pr –Ni (b) are larger than those of the free ligand
NiCe
¼
291ð6Þ. The agreement factors obtained for the susceptibility and
H L (a) and mononuclear Ni(II) complex (c). The photoluminescent
2
ꢁ5
ꢁ4
magnetization data are 4.2ꢂ10 and 4.4ꢂ10 , respectively. The
lowest level is a Kramers doublet built of |±3/2i substates
behavior of all compounds were also studied. The excitation and
emission spectra are depicted in Fig. 13. The luminescence spec-
(
Table S2). The first excited state comprises the |±1/2i states and
trum of Schiff base ligand H L reveals two of high intensity emis-
2
⁄
⁄
the highest Kramers doublet is built of |±5/2i substates. The popula-
tion of the lowest Kramers doublet at T = 2 K is practically 100%. It is
only at T = 150 K that the population of the first excited level (1.2%)
stops being negligible. The populations of the successive Kramers
doublets at T = 200 K is 95.5%, 3.4%, and 1.1%, respectively. This ex-
sion bands at 344 and 465 nm (
p
–p
and
p
–n transitions). The
⁄
emission spectra of the complexes originate from
p–p
or ligand-
to-metal charge transfer transitions [36]. The emission band max-
ima of complexes are blue or red shifted compared to free ligand
H L. Emission maxima appear at 343, 512 and 335 nm respectively
2
II
III
II
plains the steady decrease of the
ture. The sharp down-turn of the
v
T product on lowering tempera-
for Ni(II) and Ni –Pr –Ni complexes, on UV irradiation
(kex = 292 nm). The emission band at 512 nm of (c) can be attribut-
able to the LMCT transition.
vT curve at lowest temperatures is
ascribed to the ‘‘switching-on’’ of the positive (spin damping) zero-
II
Metal cations such as Ni2+, Cu2+ and Co2+ usually quench the or-
field splitting of the Ni centers. Solid lines in Fig. 7 show the best fit
2+
curves for the susceptibility and isothermal magnetization.
ganic ligand luminescence [12b,37] in contrast to the Zn ion,
2
III
3+
The ground state arising from the 4f configuration of the Pr
where the effect is not present [12c,38]. In the case of Ln ions
3
ion is H
4
. The dimension of its ground-state subspace is hence 9.
an important factor for the effective emission of these ions is en-
3
+
The theoretically predicted value of the Landé factor is 4/5(=0.8).
ergy matching between the Ln emitting levels and the ligand