ARTICLE IN PRESS
H. Liang et al. / Physica B 404 (2009) 1957–1960
1959
0.553 ms, which is higher than that of Eu(DBM)3Phen doped
Table 1
O2 O4 parameters of Eu(ODBM)3Phen doped PMMA and Eu(DBM)3Phen doped
PMMA.
,
system (0.469 ms) [12]. This indicated that the energy transfer to
the Eu3+ from the ODBM ligand is more efficient than that from
the DBM ligand. According to the molecular structures showed in
Fig. 1, we suggest that the main reason might be that the
incorporation of the long alkyloxy group in OBDM. The long octyl
chain structure of OBDM ligand can form a sheath around the Eu3+
ions, which can reduce the nonradiative decays caused by the host
of polymer.
O2 (10ꢀ20 cm2)
O4 (10ꢀ20 cm2)
Eu(ODBM)3Phen doped PMMA
Eu(DBM)3Phen doped PMMA
19.31
18.90
0.621
0.311
Table 2
3.3. Judd–Ofelt analysis of Eu(ODBM)3Phen doped PMMA
Radiative properties of Eu(ODBM)3Phen doped PMMA.
(cmꢀ1
)
Aed (sꢀ1
)
Amd (sꢀ1
)
A (sꢀ1
)
B (%) s
(10ꢀ22 cm2)
It is well known that due to selection rules, the 5D0-7F2,4,6
transitions of Eu3+ are allowed by induced electric dipole
mechanisms. According to the Judd–Ofelt theory, the spontaneous
emission probability of an electric dipole transition between
initial J manifold jðS; LÞJito terminal manifold jðS0; L0ÞjJ0i is given by
[13,14]
Emission transition
n
5D0-7F0
5D0-7F1
5D0-7F2
5D0-7F3
5D0-7F4
17271
16906
16223
15320
14225
0
0
0
0
0
0
51.90
51.90 7.72 2.96
611.38 90.92 53.31
611.38
0
0
0
0
0
0
0
9.13
9.13
1.36 0.39
AT (sꢀ1
)
672.41
2
4e2n3 nðn2 þ 2Þ
ꢀ
ꢁ
64
p
Aed ¼ A ðS; LÞJ; ðS0; L0ÞJ0
¼
Sed
Radiative lifetime trad (ms) ¼ 1.487
3hð2J þ 1Þ
9
2
X
64
p
4e2n3 nðn2 þ 2Þ
0
0
0
2
¼
OtjhðS; LÞJjjUðtÞjjðS ; L ÞJ i
3hð2J þ 1Þ
9
t¼2;4;6
where h is Planck’s constant, m is the mass of the electron, c is the
velocity of light, n is the refractive index of the medium, is the
is the total angular
Once the intensity parameters Ot is determined, they can be
used to calculate the radiative properties. The total transition
emission probability AT is calculated using [13,14]
n
wavenumber of the transition and
J
momentum of the ground state, the jjUðtÞjj are the squared
reduced matrix elements of the rank t ¼ 2, 4, 6 and their values do
2
X
AT
¼
A½ðS; LÞJ; ðS0; L0ÞJ0ꢁ
not change with the host for Ln3+ ions. The three coefficients O2
,
S;L;J
O4
, O6 contain implicitly the odd-symmetry crystal field terms,
where A½ðS; LÞJ; ðS0; L0ÞJ0ꢁ is the spontaneous emission probability of
radial integrals and perturbation denominators.
a
transition between initial
J
manifold jðS; LÞJi to terminal
The 5D0-7F1 of Eu3+ ion is a magnetic dipole transition which
is independent of the environment and can be used as a reference.
The spontaneous emission probability of magnetic dipole transi-
tion Amd is [15]
ꢂ
0ꢃ
0
0
ꢂ
manifold ðS ; L ÞJ
.
The fluorescence branching ratio is obtained from [13,14]
A½ðS; LÞJ; ðS0; L0ÞJ0ꢁ
0
0
0
P
b
½ðS; LÞJ; ðS ; L ÞJ ꢁ ¼
S;L;JA½ðS; LÞJ; ðS0; L0ÞJ0ꢁ
64p4n3
n3Smd
Amd
¼
The radiative lifetime of the transition involved is an important
3hð2J þ 1Þ
parameter in consideration of the pumping requirement for the
threshold of laser action and can be calculated as [13,14]
Smd refers to the strength of the magnetic dipole line strength of
the 5D0-7F1 transition, which is a constant and independent of
the medium.
1
P
trad½ðS; LÞJꢁ ¼
The jjUðtÞjj values of Eu3+ ion are taken from Carnall et al. [16].
S;L;JA½ðS; LÞJ; ðS0; L0ÞJ0ꢁ
2
The spontaneous emission probability of an electric dipole
Another important radiative property is the stimulated emis-
sion cross section of the measured fluorescence [13,14]:
transition Aed depends on jjUðtÞjj . The Ot can be determined from
2
the ratios of intensities of 5D0-7F2,4,6 transitions to the intensity
of 5D0-7F1 transition as follows:
lp4
cn2Dleff
s
½ðS; LÞJ; ðS0; L0ÞJ0ꢁ ¼
A½ðS; LÞJ; ðS0; L0ÞJ0ꢁ
R
8p
nJ3
2
e2
ðn2 þ 2Þ
IJð
n
Þ d
n
AJ
2
R
¼ ¼
Amd Smd
OtjjUðtÞjj
n3md
9n2
where lp is the peak position of the emission line, Dleff is the
effective band width of the emission transition.
Imd
ðn
Þ dn
Table 1 presents O2
,
O4 parameters of Eu(ODBM)3Phen doped
With the measured lifetime
tm, together with the above
PMMA and Eu(DBM)3Phen doped PMMA.
calculated radiatve lifetime rad, the luminescence quantum yield
t
It has been well established that the parameter
O2 is structure-
Z
Z
can be calculated:
sensitive and associated to the covalency and asymmetry of the
rare earth sites [17,18]. It can be found in Table that
tm
¼
1
trad
Eu(ODBM)3Phen doped PMMA presents a higher O2 value, which
indicates the long alkyloxy group in ODBM ligand can increase the
covalency and asymmetry of Eu3+ ion, while the increase of the O4
intensity parameter of Eu(ODBM)3Phen doped PMMA can be due
to the steric factors. Compared with DBM ligands, the relative
bigger ODBM ligands can prevent the Phen ligand from getting
The obtained spontaneous transition probability of electric
dipole transition Aed and magnetic dipole transition Amd, the total
transition probability AT, the fluorescence branching ratio , the
and the radiative lifetime trad
b
stimulated emission cross section
are presented in Table 2.
s
closer to the Eu3+ ion, thus decreasing the
O4 intensity parameter.
From Table 2, the transition 5D0-7F2 showed a high
b
value. It
value
near 50% becomes a potential laser emission transition [19]. The
luminescence quantum yield of Eu(ODBM)3Phen doped PMMA
The O6 intensity parameter was not determined because the
5D0-7F6 transition could not be experimentally detected. This
indicated that the O6 is not important here.
has been already established that an emission level with b
Z