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Developments in Ceramic Materials Research

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62<br />

I, %<br />

100<br />

80<br />

60<br />

40<br />

20<br />

0<br />

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

a b<br />

30 40 50 60 70 80<br />

2 θ<br />

c<br />

Figure 7. Characteristic microphotographs of the Ca 0,9Er 0,1F 2,1 particles prepared by sedimentation from<br />

the water solution with reverse dropp<strong>in</strong>g <strong>in</strong>to the hydrofluoric acid with further wash<strong>in</strong>g <strong>in</strong> the ethanol –<br />

(a), after the dry<strong>in</strong>g at 150 °C – (b) and their XRD, CuK α radiation – (c).<br />

Tak<strong>in</strong>g <strong>in</strong>to account that the homogeneity of ceramic samples is sufficiently high, we put<br />

50 impressions on them (as well as on the s<strong>in</strong>gle crystals). In the s<strong>in</strong>gle crystals, the<br />

arrangement of diagonals <strong>in</strong> an impression corresponds to the {110} direction characterized<br />

by the highest hardness. The microhardness H was calculated by the conventional formula H<br />

= KP/d 2 , where P is the <strong>in</strong>dentation load, d is the length of the diagonal for the <strong>in</strong>denter<br />

impression, K is the factor depend<strong>in</strong>g on the shape of the <strong>in</strong>denter (for the Vickers pyramid, K<br />

= 1.854). The fracture toughness K1C as a function of the <strong>in</strong>dentation load is determ<strong>in</strong>ed from<br />

the measurements of the l<strong>in</strong>ear size of radial cracks (C) aris<strong>in</strong>g near the place where the<br />

<strong>in</strong>dentation load is applied.

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