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Developments in Ceramic Materials Research

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64<br />

T. T. Basiev, V. A. Demidenko, K. V. Dykel’skii et al.<br />

It is estimated based on the approved formula tak<strong>in</strong>g <strong>in</strong>to account the elastic and hardness<br />

characteristics of the material under study [32]. For the Vickers <strong>in</strong>denter, we have K1C =<br />

0.016(E/H) 1/2 P/C 3/2 , where E is Young's modulus. For fluorite, E = 8.73 10 11 dyne/cm 2 [32].<br />

The experiments demonstrate that the microhardness of ceramic samples is only slightly<br />

higher (by 10 - 12%) than that of CaF2 s<strong>in</strong>gle crystals, but their crack resistance <strong>in</strong>creases<br />

significantly: the fracture toughness K1C is higher by a factor of approximately 3 - 6 (see<br />

Table 1).<br />

Table 1. The values of microhardness H and fracture toughness K1C<br />

Samples microhardness H, GPa fracture toughness K1C, MPa⋅m -0,5<br />

Composition Designation at Р=0,5 Н at Р =1 Н at Р = 0,5 Н at Р = 1 Н<br />

CaF2 S<strong>in</strong>gle crystal - 200± 7 - 1,5 ± 0.15<br />

CaF2 Natural ceramics - 225 ± 5 - 6,3 ± 0.6<br />

CaF2 Artificial ceramics - 260±10 - 4,7±0.3<br />

Ca0.98Er0.02F2.02 Artificial ceramics<br />

sample B(2)4-06<br />

305 250 9,9 9,4<br />

The scratch-hardness tests of the ceramic samples (scratches are made from the centre of<br />

a circle along the radius with a step of 15 [degree]) does not reveal any hardness anisotropy,<br />

whereas for CaF2 s<strong>in</strong>gle crystals the directions are characterized by the highest<br />

hardness.<br />

The thermal conductivity k is an important technological parameter. It is due to the high<br />

thermal conductivity of calcium fluoride s<strong>in</strong>gle crystals this material is attractive for the<br />

development of powerful laser systems. One of the purposes of this work is to compare the<br />

thermal conductivity of a fluorite s<strong>in</strong>gle crystal and samples of natural and artificial optically<br />

transparent CaF2 ceramic. The thermal conductivity is determ<strong>in</strong>ed experimentally by the<br />

absolute stationary method of longitud<strong>in</strong>al thermal flux [28]. The objects of research are three<br />

samples of CaF2 with almost the same geometry dimensions 5 x 5 x 40 mm 3 . One of the<br />

samples is cut from a s<strong>in</strong>gle-crystal boule grown by the method of vertical directed<br />

crystallization. Another sample is cut from a piece of natural optical ceramic from the Suran<br />

deposit. The third sample is cut from ceramic prepared by the hot press<strong>in</strong>g method. The<br />

distance between the temperature sensors is 20 mm. The temperature range of 50 - 300 K is<br />

provided by evacuation of nitrogen vapor from the chamber. The results of measurements are<br />

presented <strong>in</strong> Figure 10. The values of thermal conductivity for all samples co<strong>in</strong>cide with<strong>in</strong><br />

experimental error of 5%. At T = 300 K the thermal conductivity is k = 10.3 ± 0.1 W/m K;<br />

and it strongly <strong>in</strong>creases with decreas<strong>in</strong>g temperature to k = 245 ± 7 W/m K at T = 50 K.<br />

Analysis of transmission spectra of CaF2 s<strong>in</strong>gle crystals and ceramic samples <strong>in</strong> wide<br />

spectral range is provided (Figure 11). In the IR spectral range the transmission of the s<strong>in</strong>gle<br />

crystal and ceramics is identical (Figure 11a), but <strong>in</strong> UV the difference is significant (Figure<br />

11b).<br />

The optical losses <strong>in</strong> the ceramics are determ<strong>in</strong>ed quantitatively by calorimetric method<br />

of absorption coefficients measurement <strong>in</strong> highly transparent solids described elsewhere [33].<br />

In do<strong>in</strong>g so rectangular parallelepiped samples 8.8 x 14 x 45 mm 3 are cut and polished. The<br />

loss factors are found to be 2.05 10 -2 cm -1 and 6.3 10 -3 cm -1 for the ceramics and the CaF2<br />

s<strong>in</strong>gle crystal, respectively.

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