Skip to main content

Advertisement

Measurements of Defect Structures by Positron Annihilation Lifetime Spectroscopy of the Tellurite Glass 70TeO2-5XO-10P2O5-10ZnO-5PbF2 (X = Mg, Bi2, Ti) Doped with Ions of the Rare Earth Element Er3+

Abstract

The objective of the study was the structural analysis of the 70TeO2-5XO-10P2O5-10ZnO-5PbF2 (X = Mg, Bi2, Ti) tellurite glasses doped with ions of the rare-earth elements Er3+, based on the PALS (positron annihilation lifetime spectroscopy) method of measuring positron lifetimes. Values of positron lifetimes and the corresponding intensities may be connected with the sizes and number of structural defects, the sizes of which range from a few angstroms to a few dozen nanometers. Experimental positron lifetime spectrum revealed existence of two positron lifetime components τ 1 andτ 2. Their interpretation was based on two-state positron trapping model where the physical parameters are the positron annihilation rate and positron trapping rate.

Background

Tellurite glasses belong to a group of materials which, due to their properties, can be applied in optoelectronics and photonics, as fast ion conductors, photonic materials and in lasers [1, 2]. Tellurite glasses are treated as special glasses on account of the separately molten TeO2, which does not display glass-making properties. If TeO2 is connected with a stabilizing oxide, the glass-making properties of the tellurite oxide are determined. Due to the fact that the tellurite glasses are characterised by high linear as well as nonlinear index, they have become the major research topic of nonlinear optics [3, 4]. High density of tellurite glasses, their low glassy state transition temperature and wide range of IR permeability (melting point lower than 1000 °C) [1] should also be noted.

Tellurite glasses are characterized by photon energy which is 750 cm−1, thus determining the probability of radiative transitions as well as longer lifetime levels of energetic ions of the rare earth elements [5]. Low energy of the photons of the tellurite glasses allows to use them as materials for building optical amplifiers and laser devices. An important characteristic of tellurite glasses is their ease of dissolving rare earth elements, such as Pr3+, Er3+, Nd3+, etc. An inseparable element of this phenomenon is the increase of the luminescence effects required in laser glasses [6, 7]. Due to their physic-chemical properties, there is a need for further research on the glasses. Changing the chemical constitution of the glasses as well as different methods of synthesis make possible a wide range of their formation in terms of optical and technological properties [8,9,10,11].

It is certainly true that one of the most important properties of tellurite glasses is their ability to attach ions of the rare earth elements, which results in an increased effectiveness of the luminescence, which is required in laser glasses. Unique properties of the tellurite glasses cause that there is a very wide potential for their application. Application of tellurite glasses are results from the atomic structure of the material, as well as from the structure of the voids (gaps, free volumes). The structure of telluric glasses have areas with different degrees of order in the form of a coordination polyhedrons forming the roof construction: glass and having their crystalline counterparts, and empty spaces in which ions may be glass modifiers [12, 13]. To describe the actual structure of glass and nanocrystalline glass-ceramics is necessary to develop alongside conventional methods such as X-ray diffraction, electron or neutron diffraction of high energy synchrotron radiation Raman spectroscopy, infrared spectroscopy, the new experimental methods sensitive to the voids in the structure of glasses. This idea can be realized thanks to the free annihilation of particle with an anti-particle, with a simultaneous emission of two gamma quanta (2γ). In such cases, two positron lifetime components τ 1 and τ 2 are obtained during measurements of positron lifetime spectroscopy PALS [14,15,16,17]. The τ 1 component is responsible for positron and electron free annihilation, as well as for the annihilation with electrons localized in point defects of the vacancy type, whereas the τ 2 component is connected with the electrons of volume anionic defects created in mono-vacancies as well as in defects formed on grain boundaries or dislocations [18,19,20]. Mathematical formalism of the known two-state positron trapping model with only one kind of traps [21] was utilized to parameterize mean τ av and defect-free bulk τ b lifetimes, as well as trapping grate in defects κ d. In addition:

  1. 1.

    average positron lifetime τav reflecting defectivity of the medium dominating in the examined glasses:

    $$ {\tau}_{av=}\frac{\tau_1{I}_1+{\tau}_2{I}_2}{I_1+{I}_2} $$
    (1)
  2. 2.

    bulk positron lifetime τ b in the defect-free part of the material:

    $$ {\tau}_b=\frac{I_1+{I}_2}{\frac{I_1}{\tau_1}+\frac{I_2}{\tau_2}} $$
    (2)
  3. 3.

    positron capture rate by the traps (defects) κ d:

    $$ {K}_d=\frac{I_2}{I_1}\left(\frac{1}{\tau_b}-\frac{1}{\tau_2}\right) $$
    (3)
  4. 4.

    a quantity connected with the average size of defects in which annihilation takes place:

    $$ {\tau}_2-{\tau}_b $$
    (4)
  5. 5.

    the parameter change reflects the change in the geometry of defects in volume, nature of capture and positron trapping centres [22]:

    $$ {\tau}_2/{\tau}_b $$
    (5)
  6. 6.

    trapped positron fraction η:

    $$ \eta ={\tau}_1{\kappa}_d $$
    (6)

Experiment and methods

Tellurite glasses were melted in an electric furnace at the temperature of 850 °C in the air atmosphere in platinum-gold melting pots with lids. Next, the melted material was poured into a brass form at the temperature of 380 °C. In order to eliminate the stresses created in the material, the glasses were subjected to relief annealing at the temperature of 380 °C for 2 h. Before the measurements were started, the tellurite glasses were subjected to grinding and polishing. The tellurite glasses, the composition of which was presented in Table 1, were examined. Positron annihilation lifetime spectroscopy PALS and spectrum analyses carried out with the use of the LT9 software were applied to examine parameters of tellurite glasses structural defects [23]. Measurements of positron lifetimes were made at room temperature with the use of ORTEC spectrometer [24, 25] based on the start-stop principle. Peak resolution FWHM of the apparatus was determined with the use of a 60Co radioactive source and was equal to 260 ps. The source of positrons was the 22Na sodium isotope of 4 × l0−5 Bq activity closed in kapton film. Together with the samples, it formed a “sandwich” type system. The measurements were carried out at room temperature. The examples of experimental PALS spectra of tellurite glasses and tellurite glasses doped Er3+ samples are shown in Fig. 1.

Table 1 Chemical composition of tellurite glasses
Fig. 1
figure1

The examples of experimental PALS spectra of tellurite glasses and tellurite glasses doped Er3+ samples

Results

The best fitting in tellurite glass samples was found to occur at the resolution of the annihilation spectrum into two components of τ 1 and τ 2 lifetimes and respective I1 and I2intensities (Table 2). No τ 3 component, responsible for formation of the positronium (hydrogen-like atom) has been found in the examined samples. When analysing values of τ 1 and τ 2, the double-state model of positron annihilation was investigated, according to which a positron annihilates from a free state and from one of the states localized in a defect at the absence of the de-trapping process. Having calculated the main annihilation parameters with the use of the LT programme, positron lifetimes τ1 and τ2 and their intensity, as well as positron capture parameters τ av, τ b, κ d, τ 2-τ b, τ 2/τ b, η (Table 3) were calculated. The main parameters of annihilation converted as mean ± measurement error were calculated using the program LT. Size was calculated from the average measurements of positron lifetime and intensity [23].

Table 2 Fitting parameters of tellurite glasses mathematically treated with two-component fitting procedure by LT computer program
Table 3 Positron capture parameters

Discussion

On the basis of the taken measurements of positron lifetimes, τ 1 and τ 2 are slightly different, within the margin of errors, for the basic samples and for the doped samples. Distinct changes occur in case of values of the I 1 and I 2intensities. After doping the basic glass with Er2O3 admixture, a significant increase of the I 2 intensity can be observed. In the examined glasses, the number of volume defects increases together with addition of ions of the rare earth elements.

Basing on the taken measurements, it is possible to state that doping the basic sample with the Er2O3 ions causes distinct changes in the values of parameters responsible for positron capture. It can be concluded that the capture of positrons are responsible anionic gaps in the form of voids or defects in the structure.

Taking into account calculations of positron capture parameters (Table 2), it is possible to state that:

  • ➢Rates of the κ d positron capture, when compared to the basic samples, distinctly increase during doping in all the investigated tellurite glasses. This reflects a much higher concentration of volume defects and positron capture centres in the samples doped with Er2O3 ions.

  • ➢The value of the τ 2-τ b parameter for the Te2 sample remains at the same level, whereas it distinctly falls for the other samples of the investigated tellurite glasses. It means that in the other samples average sizes of defects, in which positron captures occur, decrease during doping.

  • ➢The τ 2/τ b ratio diminishes during doping of the basic sample, which indicates different nature of volume defects. Places in which positrons are captured are of different nature, depending on embedding erbium oxide in the structure of a glass in the examined materials.

  • ➢The η fraction of the trapped positrons distinctly increases in the investigated samples when the basic sample is doped with the erbium ions, where the value increases by c. 15%, which is evidence of increasing free volume fraction.

Conclusions

To sum up, analysis of the examined tellurite glasses according to the double-state model, for the τ av, τ b, κ d, τ 2-τ b, τ 2/τ b, and η parameters confirms division of the examined samples into two groups: clean and doped with the Er2O3 ions. Three parameters τ av, τ b,τ 2/τ b for the samples Te1, Te2 do not demonstrate any distinct division (changes occur within the margin of error), parameters are not changed or are maintained at the same level under the influence of doping. As for the other samples of the examined tellurite glasses both, the nature of volume defects and average size of defects undergo reduction. The changes may result from the properties of an agent that can be found in each of the examined samples. In the samples Te1, Te2 the agent is the oxide which shows paramagnetic properties, whereas in the other samples, it is the oxide which displays diamagnetic properties. The rate of positron capture by the traps increases in all the examined samples and so does the fraction of the trapped positrons.

Abbreviations

FWHM:

Full width at half maximum

LT9:

Lifetime programme

PALS:

Positron annihilation lifetime spectroscopy

References

  1. 1.

    El-Mallawany RAH (2002) Tellurite glass handbook: physical properties and data. CRC Press, Boca Raton

  2. 2.

    El-Mallawany RAH (2014) Tellurite glasses handbook: physical properties and data. CRC Press, Boca Raton

  3. 3.

    Jha A, Richards BDO, Jose G, Fernandez TT, Hill CJ, Lousteau J, Joshi P (2012) Review on structural, thermal, optical and spectroscopic properties of tellurium oxide based glasses for fibre optic and waveguide applications. Int Mater Rev 57:357–82

  4. 4.

    Berthereau A, le Luyer Y, Olazcuaga R (1994) Nonlinear optical properties of some tellurium (IV) oxide glasses. Mater Res Bull 29:933–41

  5. 5.

    Reben M, Golis E, Filipecki J, Sitarz M, Kotynia K, Jeleń P, Grelowska I (2014) Voidsin mixed-cation silicate glasses: studies by positron annihilation lifetime and Fourier transform infrared spectroscopies. Spectrochim. Acta Part A Mol Biomol Spectrosc 129:643–8

  6. 6.

    Golis E, Yousef ES, Reben M, Kotynia K, Filipecki J (2015) Measurements of defect structures by positron annihilation lifetime spectroscopy of the tellurite glass TeO2-P2O5-ZnO-LiNbO3 doped with ions of rareearthelements: Er3+, Nd3+ and Gd3+. Solid State Sci 40:81–4

  7. 7.

    Golis E (2016) The effect of Nd3+ impurities on the magneto-optical properties of TeO2-P2O5-ZnO-LiNbO3 tellurite glass. RSC Adv 6:20370–2373

  8. 8.

    Khor SF, Talib ZA, Sidek HAA, Daud WM, Ng BH (2009) Effects of ZnO on dielectric properties and electrical conductivity of ternary zinc magnesium phosphate glasses. Am J Appl Sci 6:1010–4

  9. 9.

    Wang JS, Vogel EM, Snitzer E, Jackel JL, da Silvaand VL, Silberberg Y (1994) 1.3 μm emission of neodymium and praseodymium in tellurite-based glasses. J Non-Cryst Solids 178:109–13

  10. 10.

    Sushama D, Predeep P (2014) Thermal and optical studies of rare earth doped tungston–tellurite glasses. Int J of Appl Phys and Math 4:139–143

  11. 11.

    Mito T, Fujino S, Takebe H, Moringa K, Todoroki S, Sakaguchi S (1997) Refractive index and material dispersions of multi-component oxide glasses. J Non-Cryst Solids 210:155–62

  12. 12.

    Kim SH, Yoko T (1995) Nonlinear optical properties of TeO2 based glasses: MOx–TeO2 (M = Sc, Ti, V, Nb, Mo, Ta and W) binary glasses. J Am Ceram Soc 78:1061–5

  13. 13.

    Golis E, Reben M, Burtan-Gwizdala B, Filipecki J, Cisowski J, Pawlik P (2015) The effect of Nd3+ impurities on the magneto-optical properties of TeO2–P2O5–ZnO–LiNbO3 tellurite glass. RSC Adv 5:102530–4

  14. 14.

    Goldanskii VI (1967) Positron annihilation. Academic Press, New York

  15. 15.

    Ache HJ (1972) Chemistry of the positron and positronium. Angew Chem Int Ed 11:179–99

  16. 16.

    Grelowska I, Reben M, Burtan B, Sitarz M, Cisowski J, Yousef E, Knapik A, Dudek M (2016) Structural and optical study of tellurite-barium glasses. J Mol Struct 1126:219–25

  17. 17.

    Burtan B, Sitarz M, Lisiecki R, Ryba-Romanowski W, Jeleń P, Cisowski J, Reben M (2014) Spectroscopic properties of the Pr3+ ion in TeO2 − WO3 − PbO − La2O3 and TeO2 − WO3 − PbO − Lu2O3. Centr Eur JPhys 12:57–62

  18. 18.

    Puska MJ (1992) Theory of positron annihilation and trapping in semiconductors. Mater Sci Forum 105-110:419–30

  19. 19.

    Kozdras A, Filipecki J, Hyla M, Shpotyuk O, Kovalskiy A, Szymura S (2005) Nanovolume positron traps in glassy-like As2Se3. J Non-Cryst Solids 351:1077–81

  20. 20.

    Shpotyuk YA, Ingram A, Filipecki J, Hyla M (2011) On the atomistic origin of radiation structural relaxation in chalcogenide glasses: the results of positron, annihilation study. Phys Status Solidi C 8:3163–6

  21. 21.

    Seeger A (1974) The study of defects in crystals by positron annihilation. Appl Phys 4:183–99

  22. 22.

    Klym H, Ingram A, Shpotyuk O, Filipecki J, Hadzaman I (2007) Extended positron-trapping defects in insulating MgAl2O4 spinel-type ceramics. Phys Stat Sol 4:715–8

  23. 23.

    Kansy J (1996) Microcomputer program for analysis of positron annihilation lifetime spectra. Nucl Instr Meth Phys Res A 374:235–44

  24. 24.

    Filipecki J, Golis E, Reben M, Filipecka K, Kocela A, Wasylak J (2013) J Optoelectron Adv Mater Rapid Communications 7:1029–31

  25. 25.

    Hyla M, Filipecki J, Shpotyuk O, Popescu M, Balitska V (2007) J Optoelectron Adv Mater 9:3177–81

Download references

Authors’ contributions

KP, JF, and EG developed the idea of the research. ESY and VB prepared samples for experiments. KP and JF performed PALS measurements. KP and EG analysis of obtained data using LT9 program. All authors read and approved the final manuscript.

Competing interests

The authors declare that they have no competing interests.

Publisher’s Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Author information

Correspondence to V. Boyko.

Rights and permissions

Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Keywords

  • TeO2
  • Positron Lifetime
  • Tellurite Glass
  • Positron Annihilation Lifetime Spectroscopy
  • Volume Defect