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14
Journal of Siberian Federal University. Mathematics & Physics 2018, 11(5), 615—621
УДК 541.122: 538.214
Modeling EPR Powder Spectra of triclinic BiNbi_xMnxÜ4_^
Vladimir P. Lutoev*
Institute of Geology of Komi Scientific Center UB RAS Pervomayskaya 54, Syktyvkar, 167982
Russia
Nadezhda A. Zhukf
Pitirim Sorokin Syktyvkar State University Oktyabrskiy, 55, Syktyvkar, 167001
Russia
Boris A. Makeev*
Institute of Geology, Komi Scientific Center UB RAS Pervomayskaya, 54, Syktyvkar, 167982
Russia
Vladimir A. Belyy§
Institute of Chemistry, Komi Scientific Center UB RAS Pervomayskaya, 48, Syktyvkar, 167982
Russia
Dmitriy S. Beznosikov^
Pitirim Sorokin Syktyvkar State University
Oktyabrskiy, 55, 167001 Syktyvkar, 167001
Russia
Received 10.05.2017, received in revised form 10.03.2018, accepted 20.06.2018 EPR of solid solutions BiNb1-xMnxO4-s in triclinic modification have been studied. The EPR spectra revealed sextet structure of Mn(II) ions with 8.4 mT splitting and some features at g = 3.80 and 1.47, and a broad diffuse band with g ~ 2.2 having a sextet with 8 ^ 9 mT splitting and g = 2.0 against its background. The modeling has shown that the best reproduction of the components of the spectrum of triclinic BiNb1-xMnxO4-s is observed with the following parameters: g = 2.0, D = 1580 • 10-4 cm-1, E = 495 • 10-4 cm-1, AD/D = AE/E = 0.08, A = 8.4 mT, Lorentzian shape of the individual line with ABpp = 2.5 мТ
Keywords: EPR, modeling, BiNbO4, functional ceramics. DOI: 10.17516/1997-1397-2018-11-5-615-621.
Emerging interest to bismuth niobate BiNbO4 and solid solutions is associated with the discovery of its antiferroelectric [1], catalytic [2] and microwave dielectric properties [3]. Materials based on bismuth orthoniobate solid solutions are used as dielectric layers in monolithic capacitors made up of alternating thin layers of a ceramic dielectric and fusible electric conductors. They are also applied in SHF devices [4].
* vlutoev@geo.komisc.ru
1 nzhuck@mail.ru
^ makboris@mail.ru
§ skeyling@yandex.ru ^ uvn71p3@gmail.com © Siberian Federal University. All rights reserved
In this paper, the results of the EPR study of solid solutions of triclinic BiNbi_KMnKO4_,5 are presented, the results of theoretical modeling of spectra are shown.
The high-temperature modification of bismuth orthoniobate was first mentioned in the Au-rivillius's work [5], where the ¡3-BiNbO4 crystal structure was indexed in triclinic syngony with the unit cell parameters of a = 0.771 nm, b = 0.555 nm, c = 0.797 nm, a = 89°, 3 = 77°, 7 = 87° (P-1). The coordination polyhedron of niobium atoms in 3 — BiNbO4 is an octahedron (NbO6), which is more distorted comparing with that in the a—form BiNbO4. Its Nb-O bond lengths are nonequivalent and vary from 0.181 to 0.230 nm. In the unit cell volume, four bismuth atoms are located in the hollow sites formed by niobium-oxygen octahedra joined by equatorial vertexes.
1. Experimental
The solid solution samples were obtained via the standard ceramic procedure from "special pure" grade Bi(III), Nb(V), and Mn(III) oxides using staged calcination at 650°C, 950°C and 1100° C. Phase composition of the samples was monitored by means of scanning electron microscopy (electron scanning microscope Tescan VEGA 3LMN, energy dispersion spectrometer INCA Energy 450) and X-ray phase analysis (a DRON-4-13 diffractometer, CuKa emission). The unit cell parameters of the solid solutions were calculated using the CSD program package [6]. The quantitative measurement of iron in the solid solution samples was performed by atom-emission spectrometry (a SPECTRO CIROS ISP spectrometer).
EPR spectra of the polycrystalline samples of bismuth orthoniobate manganese-containing solid solutions were recorded using a RadioPAN SE/X 2547 X-band radiospectrometer (Center for Collective Usage "Geonauka", Komi Scientific Center, Ural Branch, Russian Academy of Sciences). The spectra were recorded using a rectangular resonator (RX102, TE 102 mode) at room temperature as the first derivative at the HF modulation frequency of 100 MHz with the amplitude of 0.25 mT and the SHF field power of 35 mW. A batch of a sample (~100 mg) was put into a quartz tube (external diameter of 4 mm). The EPR signal of a miniature reference sample (anthracite, singlet line go = 2.0032, ABpp = 0.5 mT) was used to calibrate the amplification of the apparatus. The quartz ampoule with the reference sample was rigidly fixed in the resonator coaxially to the test tube with the measured sample. For each sample, the spectrum in the magnetic field range of 0 + 700 mT and the lines of the reference were separately recorded with the scan step of 5 mT. The total spectra were normalized to the reference line intensity and then to 100 mg of the sample.
2. Results and discussion
The manganese-containing BiNbO4 solid solutions were obtained at x < 0.06. The X-ray phase analysis proved that the obtained preparations were single-phase (Figs. 1, 2). The unit cell parameters of the diluted solid solutions were practically unchanged and close to those of triclinic modification bismuth orthoniobate: a = 0.7604 nm, b = 0.5536 nm, c = 0.7929 nm, a = 90.05°, 3 = 77.41°, 7 = 87.17° (x = 0.005) and a = 0.7605 nm, b = 0.5537 nm, c = 0.7925 nm, a = 90.13°, 3 = 77.46°, 7 = 87.23° (x = 0.06).
The EPR spectra of the BiNb1_KMnKO4_a solid solutions (0.02 ^ x ^ 0.06) contain a well-resolved sextet structure with 8.4 mT splitting with g-factor of 3.80 and a broad diffuse band with ABpp ~ 110 mT centered at g ~ 2.2, which manifests the sextet with 8^9 mT splitting and g = 2.0 (Fig. 2.). The integrated intensity of the band with g = 3.80 was almost constant and
Fig. 1. Energy dispersion spectrum of BiNbo^Mno.oeC^-a and photomicrography of its surface
2 tli eta (degree) Fig. 2. X-Ray pattern for BiNbo.94Mno.o6O4_5
amounted to 30 + 35 at the change of the manganese concentration x in the solid solutions from 0.02 to 0.06. The integrated intensity of the broad band with g ~ 2.2 varied from 60 to 80, the additional component in the form of a wide "gap" with g ~ 1.47 was emerging in the spectrum as well.
Modeling the EPR spectra of the samples of BiNb1-KMnKO4-5 solid solutions of triclinic modification yielded the following results. In the general case, EPR spectra of Mn2+ ions at the Nb(V) and Bi(III) positions of bismuth orthobiobate are described by the spin Hamiltonian with triclinic symmetry:
k
H = |B ■ g ■ S + S ■ A ■ I Y.BIOI■ (1)
k=2,4 q=-k
Due to the strong variation of the crystal fields and poor resolution of components of the spectrum, the modeling of the spectra of ceramic materials is usually limited to the spin Hamil-tonian of orthorhombic symmetry including only the second-order tensor of the initial splitting and the isotropic tensors of the Zeeman (g) and hyperfine (55Mn, A) interactions:
H = g ■ iB ■ S + A ■ S ■ I + BOOO + B|<3| = g ■ iB ■ S + A ■ S ■ I + 3DO0 + EO\, (2)
where D and E are the parameters of the axial and rhombic fields, respectively (E < 3D).
As already noted, all spectra of the series have a low-intensity sextet structure centered in the region of g = 2.0, which can be attributed to the central spin transition —1/2 —+1/2 of the isolated Mn2+ ions in the weak crystal field. There were detected no lines of other transitions because of the orientational broadening and the high variation of the parameters of the crystal fields. To reproduce its shape in the model spectrum, the axial approximation was chosen (E = 0). The model spectrum satisfactorily approximated this component of the spectrum with the following parameters of the spin Hamiltonian: g = 2.0, D « 200 ■ 10-4 cm-1, AD/D = 0.7, A = 8.6 mT, the lines of Lorentzian shape with width ABpp = 2.5 mT. The spectra of Mn2+ of this type were described in ceramic samples of alkali niobates: D « 133 ■ 10-4 cm-1, AD/D = 0.45, A = 8.4 mT [7]. The assumed position of Mn2+ is Nb5+. The high variation of the crystal field parameter is associated with the large difference in the charges and the resulting stresses in the coordination polyhedra.
Sextet structure of lines g = 3.80, 1.47 can be approximated within the framework of the model of Mn2+ (S = 5/2) in strongly rhombically distorted axial field (Fig. 2.). The modeling has shown that the best reproduction of the components of the spectrum is observed with the following parameters: g = 2.0, D = 1580 ■ 10-4 cm-1, E = 495 ■ 10-4 cm-1, AD/D = AE/E = 0.08 (R = +1), A = 8.4 mT, Lorentzian shape of the individual line with ABpp = 2.5 mT. In this case, the variation of the parameters of the initial splitting is small and does not exceed 10%. Therefore, within the framework of this model, the positions of Mn2+ are characterized by a low statistical variability of the nearest surroundings. Their E/D ratio is close to that value at maximum orthorhombic distortion equal to 1/3.
We find no any literary data on EPR of Mn2+ ions in the lattice of the ¡-BiNbO4 crystals. Such spectra are well studied in lithium niobate crystals. It was established that Mn2+ ions in a-LiNbO4 structure are localized mainly in the trigonal-symmetric octahedral positions of Nb with the initial splitting of D = (720 ^ 800) ■ 10-4 cm 1 [7]. In our case, we revealed the twice higher D value, which is close to that of Fe3+ ions in the structure of a-LiNbO4 D = (1600^1800) ■ 10-4 cm-1 [8]. As a rule, the magnitude of the initial Fe3+ ion splitting is two-three times higher than that value of Mn2+ ions in the same position, which was observed in a-LiNbO4. Our EPR measurements of Fe3+ in the ¡-BiNbO4 ceramics indicated an estimate value of D = (1640 ^ 1950) ■ 10-4 cm-1, which is close to that value of Mn2+ (D = 1580 ■ 10-4 cm-1). Such high values of D of Mn2+ ions in the oxygen polyhedra are quite unexpected, the typical values are one order of magnitude lower.
9i02 'T. 290 <
0,03
o.oe
100
20C
100
-00
500
iOO B.
a)
9402 MHz 290 X.
L
Sim. Rhomb.
6M B. mT
b)
Fig. 3. EPR spectra of BiNb1-œMnœO4— solid solution samples of triclinic modification 0.02 ^ x ^ 0.06. Reference sample line with g = 2.0032 (a). Spectral composition of the EPR spectra of BiNb1-œMnœO4—: Exp. is the averaged spectrum of the samples with x = 0.02, 0.03 and 0.04; Sim. Axial is the modeled spectrum with axially symmetric positions of Mn2+, g = 2.0, D = 200 • 10-4 cm-1, AD/D = 0.7, A = 8.6 mT, Lorentzian shape of the individual lines with ABpp = 2.5 mT; Sim. Rhomb is the modeled spectrum with rhombically distorted positions of Mn2+, g = 2.0, D = 1580 • 10-4 cm-1, E = 495 • 10-4 cm-1, AD/D = AE/E = 0.08
(R = +1), A = 8.4 mT, Lorentzian shape of the individual line with ABp
2.5 mT (b)
An alternative variant of the description of the sextet structure of g = 3.80, 1.47 can be made via the model of Mn4+(5 = 3/2). This ion in oxygen structures is characterized by high initial
splitting and by a slightly lower value of the hyperfine interaction parameters (7 ^ 7.5 mT). The line with sextet splitting at g = 3.8 is typical of axial complexes of Mn4+ with an initial splitting close to the value of the microwave quantum (10 GHz, 0.3 cm-1). Such an EPR spectrum is characteristic of Mn4+ in the lattice of PbTiO3 (D = 0.3166 cm-1, E = 0, A|| = 8.5, A± = 7.6 mT) [9,10]. The complex structure of the line with g = 3.80 can be caused by the rhombic distortion E = 0.
Thus, absorption bands from isolated ions Mn(IV) and Mn(II) in crystal fields of various symmetry and manganese atoms clusters were registered in the EPR spectra. The increase in manganese concentration in the solid solutions results in the increase of a portion of man-ganese(III) atoms which are not seen in the EPR spectrum at room temperature.
Conclusions
The sextet structure of Mn(II) ions with 8.4 mT splitting and features at g = 3.80 and 1.47, and a broad diffuse band with g ~ 2.2 having a sextet with 8 ^9 mT splitting and g = 2.0 against its background have been recorded in the EPR spectra. The broad band with g ~ 2.2 can be referred to managanese(IV) ions or managanese atom clusters. The sextet structure of the bands with g = 3.80 and 1.47 can be referred to Mn2+ ions in a rhombically-distorted axial field with the ratio of axial and rhombic field parameters E/D close to 1/3. This can be explained by a strong distortion of nonequivalent octahedral niobium sites in the high-temperature phase of bismuth orthoniobate.
References
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[2] S.S.Dunkle, K.S.Suslick, Photodegradation of BiNbO4 Powder during Photocatalytic Reactions, J. Phys. Chem. C, 113(2009), 10341-10345.
[3] H.Kagata, T.Inoue, J.Kato, I.Kameyama, Low-Fire Bismuth-Based Dielectric Ceramics for Microwave Use, Jpn. J. Appl. Phys. Part 1., 31(1992), 3152-3155.
[4] K.Sang, Y.Kyung, Characteristics of tapped microstrip bandpass filter in BiNbO4 ceramics, J. Mater. Sci. Mater. in Electronics, 9(1998), 351-356.
[5] B.Aurivillius, X-ray investigations on BiNbO4, BiTaO4 and BiSbO4, Ark Kemi, 3(1951), 153-161.
[6] L.G.Akselrud, Yu.N.Grin, P.Yu.Zavalij, et al., CSD-universal program package for single crystal or powder structure data treatment, Thes. Rep. XII Eur. Crystallographic. Meet., 3(1985), 155.
[7] T.H.Yeom, S.H.Choh, Y.M.Chang, C.Rudowicz, EPR Study of Low Symmetry Mn2+ Centers in LiNbOs, Phys. St. Sol., 185(1994), 417-428.
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[9] D.Hennings, H.Pomplun, Evaluation of Lattice Site and Valence of Mn and Fe in Polycrys-talline PbTiO3 by Electron Spin Resonance and Thermogravimetry, J. Am. Ceram. Soc., 57(1973), 527-530.
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Моделирование спектров ЭПР BiNbi_xMnxÜ4_^ триклинной модификации.
Владимир П. Лютоев
Институт геологии Коми НЦ УрО РАН Первомайская, 54, Сыктывкар, 167000
Россия
Надежда А. ^Кук
Сыктывкарский государственный университет им. Питирима Сорокина
Октябрьский, 55, Сыктывкар, 167001
Россия
Борис А. Макеев
Институт геологии Коми НЦ УрО РАН Первомайская, 54, Сыктывкар, 167000
Россия
Владимир А. Белый
Институт химии Коми НЦ УрО РАН Первомайская, 48, Сыктывкар, 167982
Россия
Дмитрий С. Безносиков
Сыктывкарский государственный университет им. Питирима Сорокина
Октябрьский, 55, Сыктывкар, 167001
Россия
Исследован ЭПР в твердых растворах BiNb1-xMnxO4-s триклинной модификации. В спектрах ЭПР зарегистрированы секстетная структура ионов Mn(II) с расщеплением 8.4 мТ с особенностями в области g = 3.80 и 1.47 и широкая размытая полоса с g ~ 2.2, на фоне которой проявляется секстет с расщеплением 8 ^ 9 мТ и g = 2.0. Как показало моделирование, наилучшим образом компоненты спектра воспроизводятся при следующих параметрах спин-Гамильтониана: g = 2.0, D = 1580 • 10-4cm-1, E = 495 • 10-4cm-1, AD/D = AE/E = 0.08, A = 8.4 мТ, Лоренцева форма индивидуальной линии с ABpp = 2.5 мТ.
Ключевые слова: ЭПР, моделирование, BiNbO4, функциональная керамика.
