C O MMU N I C A T I O N S
In summary, we have demonstrated that highly efficient SHG
materials can be designed by synthesizing oxides containing cations
2 9
susceptible to SOJT distortions. In BaTeM O the polarizations
attributable to the M6 -O and Te -O bonds constructively add,
resulting in the large SHG responses. On the basis of the powder
SHG measurements, we have also determined a more reasonable
+
4+
value for â(W6 -O), 230 × 10
+
-40
m /V.
4
Acknowledgment. We thank the Welch Foundation, NSF-
Career (DMR-0092054), and the ACS-PRF Program for support.
P.S.H. is a Beckman Young Investigator.
Supporting Information Available: Two X-ray crystallographic
files in CIF format and a calculated and observed X-ray diffraction
pattern for BaTeMo O . This material is available free of charge via
2 9
the Internet at http://pubs.acs.org.
Figure 2. ORTEP (50% probability ellipsoids) in BaTeMo2O9 showing
References
6
+
4+
the asymmetric coordination environments of the Mo and Te cations.
The approximate direction of the dipole moment in each polyhedra is also
shown.
(1) Chen, C.; Liu, G. Annu. ReV. Mater. Sci. 1986, 16, 203-243.
(2) Marder, S. R.; Sohn, J. E.; Stucky, G. D. Materials for Non-Linear
Optics: Chemical PerspectiVes; American Chemical Society: Washington
DC, 1991.
W6+) and Te4+ cations result in values ranging from 5.82-6.25
and 3.91-4.04, respectively.2
(
3) Keszler, D. A. Curr. Opin. Solid State Mater. Sci. 1999, 4, 155-162.
5,26
(4) Nye, J. F. Physical Properties of Crystals; Oxford University Press:
Oxford, 1957.
Infrared data on polycrystalline BaTeMo
2
O
9
and BaTeW
2
O
9
-1
(
5) Bruce, D.; Wilkinson, A. P.; While, M. G.; Bertrand, J. A. J. Solid State
revealed M6 -O and Te-O stretches between 840 and 900 cm
+
Chem. 1996, 125, 228-233.
-
1
-1
and 600-800 cm . The vibrations at 600 and 474 cm can be
assigned to M-O-Te bends. The assignments are consistent with
those previously reported.27 Thermogravimetric analyses on the
materials indicated the compounds are stable up to 650 °C. Above
(6) Kepert, C. J.; Prior, T. J.; Rosseinsky, M. J. J. Am. Chem. Soc. 2000,
22, 5158-5168.
1
(
7) Maggard, P. A.; Stern, C. L.; Poeppelmeier, K. R. J. Am. Chem. Soc.
2001, 123, 7742-7743.
(8) Welk, M. E.; Norquist, A. J.; Arnold, F. P.; Stern, C. L.; Poeppelmeier,
K. R. Inorg. Chem. 2002, 41, 5119-5125.
+
6+
6
50 °C, decomposition occurs to BaMO
unidentified amorphous products.
Both of the reported materials crystallize in the NCS space group
P2 (No. 4). NLO measurements on polycrystalline BaTeMo
and BaTeW revealed extremely strong SHG responses of 600
4
(M ) Mo6 or W ) and
(
9) Evans, O. R.; Lin, W. Acc. Chem. Res. 2002, 35, 511-522.
(10) Hwu, S.-J.; Ulutagay-Kartin, M.; Clayhold, J. A.; Mackay, R.; Wardojo,
T. A.; O’Connor, C. J.; Kraweic, M. J. Am. Chem. Soc. 2002, 124, 12404-
12405.
1
2 9
O
(
11) Halasyamani, P. S.; Poeppelmeier, K. R. Chem. Mater. 1998, 10, 2753-
O
9
2769.
2
2
3
(12) Porter, Y.; Ok, K. M.; Bhuvanesh, N. S. P.; Halasyamani, P. S. Chem.
and 500 × SiO
2 3
respectivelyson the order of LiNbO . The Very
large SHG responses are directly attributed not only to the
Mater. 2001, 13, 1910-1915.
(
13) Ok, K. M.; Bhuvanesh, N. S. P.; Halasyamani, P. S. J. Solid State Chem.
2001, 161, 57-62.
polarization from the M6+-O and Te-O bonds (see Figure 2),
(
14) Goodey, J.; Broussard, J.; Halasyamani, P. S. Chem. Mater. 2002, 14,
but more importantly to the constructiVe addition of these polariza-
tions. Additional powder SHG measurements indicated both materi-
als are type-1 phase-matchable.23 From the SHG efficiency and
3174-3180.
(15) Goodey, J.; Ok, K. M.; Broussard, J.; Hofmann, C.; Escobedo, F. V.;
Halasyamani, P. S. J. Solid State Chem. 2003, in press.
(
16) Opik, U.; Pryce, M. H. L. Proc. R. Soc. (London) 1957, A238, 425-447.
phase-matching behavior, we are able to estimate 〈deff
NLO susceptibility, for each material. For BaTeMo (BaTeW
exp is 28 (22) pm/V. Since 〈deff â(M-O), the bond
〉
exp, the bulk
(
17) Bader, R. F. W. Mol. Phys. 1960, 3, 137-151.
2
O
9
2 9
O ),
(18) Bader, R. F. W. Can. J. Chem. 1962, 40, 1164-1175.
(
(
(
19) Pearson, R. G. J. Am. Chem. Soc. 1969, 91, 4947-4955.
〈
d
eff
〉
exp
〉 ∝
20) Pearson, R. G. J. Mol. Struct. (THEOCHEM) 1983, 103, 25-34.
21) Wheeler, R. A.; Whangbo, M.-H.; Hughbanks, T.; Hoffmann, R.; Burdett,
J. K.; Albright, T. A. J. Am. Chem. Soc. 1986, 108, 2222-2236.
hyperpolarizability, it should be possible to estimate â for a given
n+
M
-O bond once the crystal structure, the type-1 phase-matching
(
22) Kunz, M.; Brown, I. D. J. Solid State Chem. 1995, 115, 395-406.
behavior, and 〈deff
〉
exp are known. We have developed such a model
n+
(23) Kurtz, S. K.; Perry, T. T. J. Appl. Phys. 1968, 39, 3798-3813.
(
and recently published a table of â’s for a variety of M -O
24) For BaTeMo
2
O
9
(BaTeW
2 9
O
) colorless faceted crystals, 0.03 mm × 0.05
14
bonds. The model also works in “reverse”, that is â for the various
mm × 0.08 mm (0.20 mm × 0.30 mm × 0.40 mm), were used. Single-
crystal data were collected on a Siemens SMART diffractometer equipped
with a 1K CCD area detector using graphite monochromated Mo KR
radiation at 293 K. The data were integrated using the Siemens SAINT
[SAINT, Version 4.05; Siemens Analytical X-ray Systems, Inc.: Madison,
WI, 1995] program, with the intensities corrected for Lorentz, polarization,
air absorption, and absorption attributable to the variation in the path length
through the detector faceplate. ψ-Scan absorption corrections were applied.
The structures were solved by direct methods using SHELXS-97 [Sheld-
rick, G. M. SHELXS-97: A program for automatic solution of crystal
structures; University of Goettingen; Goettingen, Germany, 1997.] and
refined using SHELXL-97 [Sheldrick, G. M. SHELXS-97: A program
for crystal structure refinement; University of Goettingen: Goettingen,
n+
M
-O bonds can be input into the relevant equations, and 〈deff〉
calc
4
+
-40
may be obtained. For BaTeMo
2 9
O
, using â(Te -O) ) 130 × 10
4
6+
-40 4
m /V and â(Mo -O) ) 305 × 10
m /V results in 〈deff
〉
calc
)
2
0 pm/V, which is in reasonable agreement with 〈deff
〉
exp ) 28 pm/
V.
For BaTeW O
130 × 10
2 9
a different situation occurs. A â(W6+-O) of 570
m /V has been reported. This value seems
-
40
4
28
(
erroneously large, given that third-row transition metals are less
polarizable than second-row transition metals and that the magnitude
Germany, 1997.]. Crystal data for BaTeMo
P2 , a ) 5.5407(5) (5.490(2)) Å, b ) 7.4661(7) (7.446(3)) Å, c ) 8.8448-
9) (8.887(3)) Å, â ) 90.841(2)° (90.370(6)°), V ) 365.80(6) (363.3(2))
2 9 2 9
O (BaTeW O ): monoclinic,
6
+
6+
1
of the out-of-center distortion for W is smaller than Mo . Since
(
, the W6+-O and Te4+-O bond polarizations
3
in BaTeW
2
O
9
Å , Z ) 2 (2), R(F) ) 0.0313 (0.0601), GOF ) 1.078 (1.082).
(25) Brown, I. D.; Altermatt, D. Acta Crystallogr. 1985, B41, 244-247.
exp and â(Te4 -O) to estimate
+
constructively add, we may use 〈deff
〉
(
(
26) Brese, N. E.; O’Keeffe, M. Acta Crystallogr. 1991, B47, 192-197.
27) Balraj, V.; Vidyasagar, K. Inorg. Chem. 1999, 38, 1394-1400.
â(W6 -O). In doing so, we arrive at a value of â(W -O) of 230
+
6+
×
10- m /V. This value is consistent with the smaller polariz-
40
4
(28) Wiegel, M.; Emond, M. H. J.; de Bruin, T. H. M.; Blasse, G. Chem. Mater.
1994, 6, 973-976.
6+
ability and magnitude of the intra-octahedral distortion of W
6+
compared with Mo
.
JA035314B
J. AM. CHEM. SOC.
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VOL. 125, NO. 26, 2003 7765