Structural transformation of silicate nanocrystals in glass
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https://www.eduzhai.net American Journal of Materials Science 2012, 2(1): 37-40 DOI: 10.5923/j.materials.20120201.07 Structural Transitions of Silicate Nanocrystals in the Glass G. Abdurakhmanov*, G. S. Vakhidova Institute of Power Engineering and Automation, the Uzbek Academy of Sciences, 29 Do’rmon yo’li, Tashkent, 100125 Uzbekistan Abstract The temperature dependences of resistivity and thermopower measurements reveal that nanocrystals of sili- cates in lead-silicate glass of various compositions undergo structural transitions in the temperature range of 800 – 1000 K. The diameter of these nanocrystals estimated from Scherrer’s formula is about 0.8 – 1.6 nm and each nanocrystal consists of 8 - 64 unit cells. Structure transitions are detected as sharply maxima of resistivity ρ and thermopower S at temperature T = 800 – 100 K. Lead-silicate glass was doped by RuO2 up to 16 weight% to facilitate the measurements of the ρ and the S. The doped lead-silicate glass has a metal-like behavior at the room temperature: the temperature dependences ρ(T) and S(T) are very slow, the value of the S is typical for metals (few and tens of μV/K). Beyond the maximum of the resistance (temperature T > 1000 K) doped lead-silicate glass turns into typical semiconductor having energy gap about 0.05 – 1.5 eV depending on the composition of the glass. Anomalous thermal expansion of the RuO2 relict crystals is detected at the temperatures of 800 – 1000 K as well. Keywords structure transitions in nanocrystals, silicate glass, thermopower, resistivity, doping, thermal expansion 1. Introduction Structural transitions as a fundamental property of interacting atoms in the crystalline state are very important for basic knowledge and applications. These transitions are collective phenomenon and therefore should depend on the number of atoms in the sample, i.e. on the size of the latter one. For example, the Curie temperature TC for nanostructured ferroelectrics decreases with the size d of nanocrystals as d-1, with it’s lowest value reaching Tc ≈ 300 K at d ≈ 3 nm (fig. 3 in ). The size of nanocrystals in these investigations was defined as the diameter of nanowire, i.e. in two directions only, while in the third direction (along the wire) the value of this parameter might be significantly higher. Structural transitions in nanocrystals of LaMnO3, having average dimensions about 15 - 20 nm, were investigated in . It was found that transition temperature TC in these nanocrystals undergoes a reduction up to TC=493±10 K in compared to TC=750 K in the bulk samples. To our knowledge, there is no information about structural transitions in smaller nanocrystals and in the nanocrystals formed in the glass. All the silicate glasses have been devitrificated in time (tens or hundreds of years) so one can assume that nanocrystals of silica and various silicates are formed naturally * Corresponding author: email@example.com (G. Abdurakhmanov) Published online at https://www.eduzhai.net Copyright © 2012 Scientific & Academic Publishing. All Rights Reserved in silicate glasses and structural transformations should take place in them. Dimensions of these nanocrystals are 1 – 2 nm as follows from X-ray diffraction patterns (Scherrer’s formula). For example, the structural transition of β-quartz into α-quartz and vice versa takes place at 846 K and is accompanied by the increase of the unit cell volume by about 6 %. Increase of interatomic distances due to the structural transitions leads to decrease in the electrical conductivity of the sample, so this effect can be exploited for collecting the information about the structural transitions. The unit cell of the β-quartz is trigonal with a = 0.4893 nm, c = 0.5384 nm at the room temperature, while the α-quartz is hexagonal with a = 0.4983 nm, c = 0.5419 nm at 848 K. Direct and doubtless evidences of existence of nanocrystals in the glass have not been thoroughly investigated before. That is why the problem of the glass structure (continuous random network, Zachariasen, 1932; microcrystallits, separated by interlayer of disordered atoms, Lebedev, 1921) is still the subject of discussions. But the temperature dependence of some glass properties such as viscosity, thermal expansion coefficient, dielectric constant and dielectric loss, have anomalies which have a better agreement with microcrystalline theory. This is especially the case of manycomponent glasses. Here we show that structural transitions take place in nanocrystals of the average size of 1 – 2 nm in doped lead-silicate glass and are accompanied by sharp increase of the resistivity ρ and the Seebeck coefficient S at the temperatures below 1123 K. We found that at these temperatures the value of ρ is 2 – 6 times higher than that value at room 38 G. Abdurakhmanov et al.: Structural Transitions of Silicate Nanocrystals in the Glass temperature and S may be as high as 103 µV/K. Both ρ and tetragonal system) appear at 2θ = 59.5 and 58.1 accordingly S are affected by chemical composition of the glass. in our experiments. The accuracy of the 2θ is about 0.05 for Direct investigations of the structure of nanocrystals Siemens D500 diffractometer so d=  1.554 ± 0.002 Å and smaller than 3 – 4 nm by diffraction methods (X-ray or = d 1.588 ± 0.002 Å. The according values of the lattice neutron) are problematic, so one is forced to probe them by parameters ar= e c 2d=  3.108 ± 0.004 Å and a = 2 2d the indirect methods such as the measurements of the elec= - 3.176 ± 0.006 Å. trical properties (conductivity and thermopower). For ex- The mean size L of the nanocrystals in the glass was es- ample, structure transformations in ferroelectrics leads to timated for the main halo at about 2θ ≈ 30−35 ° via Scherrer’s sharp increase of resistivity ρ and decrease of permittivity ε formula L = Kλ /(B cosθ ) , here K is the dimensionless as the interatomic distances increase. shape factor (about 0.9) and B is the line broadening at half the maximum intensity (in radians, see fig. 1). Accuracy of 2. Experiment the L, estimated without standards, is essentially worse (> 10%) than that of the interatomic distances (see above) be- The samples of glass were doped by RuO2 to reduce the resistivity and to enhance the thermopower in our experi- ments, so it is possible to measure the reduced value of resistivity of about 10-2 – 105 Ohm·cm more accurately than that of the glass (about 1015 – 1016 Ohm·cm). The doping process used here is standard for technology of thick film resistors and was described elsewhere (the mixture of the glass and the dopant powders have been fired at Tf = 1125 K in τ = 10 min). Content of RuO2 in our samples of doped cause of the errors in K, B and the instrumental distortions. We do not use the transmission electron microscopy (TEM) to investigate the nanocrystals in the silicate glass for the following reasons: i) very thin films of the material are required to investigate by TEM, and preparation process of them can significantly affect the structure of nanocrystals in a glass; ii) these thin films of the silicate glass loose the shape due to firing up to 700 – 800 K and form drops, so TEM investigations become impossible. glass was 16, 20 and 30 weight %. The lead-silicate glasses investigated have the following composition (weight %): Glass1 SiO2 – 33; PbO – 67; 3. Results and Discussion Glass2 SiO2 – 27; PbO – 67; BaO – 4; MgO – 2. The X-ray diffraction patterns for glass1 before and after The mixture of oxides have been melted at temperatures doping are shown in fig. 1. From Scherrer’s formula for 1723±20 K (glass1) and 1623±20 K (glass2) for 1 h. Den- CuKα radiation (λ = 0.15418 nm) we evaluate the size of sity of the glasses by hydrostatic weighing is 4.81±0.02 nanocrystals L ≈ 0.87 nm in the undoped glass1 and L ≈ g·cm-3 for the glass1 and 5.13±0.02 g·cm-3 for the glass2. 1.53 nm in the doped glass1. The same values were found The glass transition temperature Tg have been evaluated by for the glass2 as well. The main reflexes of polymorphs of thermomechanical analysis (TMA, temperature dependence silica and the lead silicates are in area d = 3 – 5 Å. This of the thermal expansion coefficient) and was found to be conforms to wide halo at 2θ ≈ 31.86° for nondoped glass1 760±20 K for the glass1 and 785±20 K for the glass2. (having molecular composition 2SiO2∙PbO) (fig.1). Samples of the doped glass for electrical measurements were the bulk material: 5 mm in diameter and 10 mm in height with the Pt or Ag electrodes. Samples for X-ray in- vestigations were powders. The Pt heater of the D500 Sie- mens X-ray diffractometer was coated by these powders in the nitrocellulose lacquer. In the final X-ray patterns the diffraction lines of Pt have been deleted. The values of resistance and thermopower were meas- ured by digital multimeter Sch-300 having error less than 0.2%. The temperature was measured by the same mul- timeter and standard Pt-PtRh thermocouple. The thermo- couple was calibrated in standard temperature points of water boiling (373 K), tin and silver solidification (505 and 1234 K accordingly). Accuracy of determining of the lattice parameters of RuO2 was about ±0.01 Å and estimated from Bregg’s formula for interplane distance d = λ / 2 sin θ as Figure 1. X-ray diffraction pattern for glass1 befor and after doping. Sharp peaks are due to relicts of RuO2. B is the line broadening at half maximum of intensity (in radians) ∆d / d = ∆λ / λ + ∆θ cosθ / sinθ , (1) Temperature dependences of the resistance R(T) and the here wavelen= gth λ 0.15418 ± 0.00001 nm for CuKα Seebeck coefficient S(T) of the doped glass1 and the doped radiation, θ is the diffraction angle, ∆d , ∆λ and ∆θ glass2 are shown in fig. 2 and 3 accordingly. Values of R, S are absolute errors of corresponding values. The crystallo- and T have been measured with accuracy of about 1%. R(T) graphic planes  and  of RuO2 (rutile structure, and S(T) at T < 800 K are nearly constant, so one can as- American Journal of Materials Science 2012, 2(1): 37-40 39 sume the free charge carriers concentration n does not change. Sharp increase of the R(T) and S(T) at T > 800 – 900 K is the result of the structural transitions of silica and lead-silicate nanocrystals because the relict crystals of RuO2 do not have appropriate variations (fig. 4). This statement follows from the fact that increase of the interatomic distances in solids leads to decrease of its electrical conductivity. In the case of RuO2 crystals investigated, we have the opposite situation – lattice parameters, both a and c, decrease in the temperature range 800 – 1000 K, where resistance R(T) of the sample increases (please compare fig. 2 and 3 with the fig. 4). It is noteworthy that anomalous behavior of the thermal expansion of RuO2 crystals in a direction takes place (fig. 4) – extension is replaced by constriction in the temperature range 800 – 1000 K followed by extension again. One can see from fig. 2 and 3 that the temperature dependences of R and S are very weak and the value of S is few or ten μV/K only at T < 800 K for doped glasses. After maximum of R(T) the doped glass turns into typical semiconductor having band gap width between 0.05 and 1.5 eV for various glass compositions and doping levels (fig. 5). This means that the structural transition shifts away the impurity subband from the top of the glass valence band. The comparison of the unit cell parameters of low- temperature β-quartz with the size of nanocrystals in the glass shows that the last one consists of 8 – 60 unit cells, or 24 – 180 atoms of Si, enclosed by mostly disordered layer. The effect of this layer on structural transitions of nanocrystals is not clear yet. In the case of the lead-silicates having lager unit cells, the number of the unit cells in the nanocrystals is smaller than that of the quartz. Figure 2. Temperature dependence of the resistance R(T) and the thermopower S(T) for the doped glass 1. Figure 3. Temperature dependence of the resistance R(T) and the thermopower S(T) for the doped glass 2 Figure 5. Temperature dependence of the conductivity Y(T) after maximum for the samples of the doped glass1 (1) and glass2 (2 – 6) with RuO2 content about 16 wt % (1, 2), 20 wt% (3, 4) and 30 wt% (5, 6). Activation energy of conductivity Eσ is about (eV): 1.77 (1); 1.54 (2, lower T) and 0.93 (2, high T); 0.9 (3); 0.52 (4); 0.05 (5) and 0.047 (6). The solid lines are the fit of the experimental data with the expression ln Y= a + Eσ /(2kT ) 4. Conclusions Figure 4. Temperature dependence of the lattice constants of RuO2 crystals in the free powder in a and c directions Nanocrystals of silica and silicates with the size of 0.8 – 1.6 nm undergo structural transitions at the temperatures 800 – 1000 K, detected as sharp maxima of the resistance and thermopower of the lead-silicate glass, doped by RuO2. Before these maxima the temperature dependence of the parameters and the value of the thermopower are typical for metals, while after maxima resistance assumes an activation character with activation energy of 0.05 – 1.5 eV depending on the glass composition. It is shown that the RuO2 relict crystals are not responsible for these anomalies because of the lattice constriction in the temperature region of these maxima (800 – 1000 K) and reduction of their resistivity. At maxima the value of the resistance may be 6 – 10 times 40 G. Abdurakhmanov et al.: Structural Transitions of Silicate Nanocrystals in the Glass higher than that at room temperature, and value of the thermopower is 10 – 100 times higher than at room temperature. ACKNOWLEDGEMENTS We acknowledge the Uzbek Academy of Sciences for the financial support (Grant in the Support of Fundamental Research, grant NN 55-08 and 27-10).  M. V. Harlamova and A. Arulraj, Phase transition in nanostructured LaMnO3, JETP Letters 89 (2009) 301-305.  V. P. Pryanishnikov, Sistema kremnezema (Silica system – in Russian). Building Literature Publications. - Leningrad, 1971.  M. E. Lines and A. M. Glass, Principles and applications of ferroelectrics and related materials. Clarendon Press. – Oxford, 1977.  Thick Film Sensors. Ed. M. Prudenziati. Elsevier Science. Amsterdam, 1994. REFERENCES  J. M. Gregg, Ferroelectrics at the nanoscale, Phys. St. Solidi A 206 (2009) 577-587. DOI 10.1002/pssa.200824434  A. Guinier, Théorie et technique de la radiocristallographie. Dunod. – Paris, 1956.  Vitalij K. Pecharsky, Peter Y. Zavalij, Fundamentals of powder diffraction and structural characterization of materials. Springer. – N. Y., London, 2005.
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