Thermo-mechanical properties of cubic titanium nitride

THERMODYNAMIC, THERMAL AND ELASTIC PROPERTIES OF TITANIUM NITRIDE TiN: COMPARISON OF VARIOUS DATA AND DETERMINATION OF THE MOST RELIABLE VALUES

“…In such a case, the TiN should taper upon heating rather than expand. However, this is contrary to all known publications [3][4][5][6][7][8] on the thermal expansion of titanium nitride.…”

“…For this option, the difference between C p and C V is 1.25 J/(mol×K), and the values of B T and B S exceed the sizes 950 GPa ( Table 2). As can be seen from Table 1, the resulting of bulks modulus exceeds the maximum values from known sources [4,5,[9][10][11][12][13][14][15][16][17][18][19][20][21]. It follows that the suggested option is unlikely.…”

“…where B S -isentropic bulk modulus. When calculating, it was assumed that most of the values В obtained in works [4,5,[9][10][11][12][13][14][15][16][17][18][19][20][21] belong to the isentropic bulk modulus. This is argued by the fact that in studies of elastic properties priority is given to acoustic and acoustooptic methods [19,20], in which B S is directly determined [26,27].…”

“…Values of Debye temperature, volume coefficient of thermal expansion and bulk modulus of TiN at standard conditions established in the works [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21] θ D , K α V ×10 -6 , K -1 B, GPa 700 [2] 19 * [4] 245* [4] 272* [4] 294 [18] 780* [3] 22 [5] 257* [9] 275 [14] 296 [5] 799* [4] 23 * [4] 263 [10] 280 [5,15] 302* [9] 809* [3]~25 [3] 264 [11] 283* [4] 311-315* [6] 841* [4] 27 [4,6,7] 265 [12] 289 [16] 318 [19,20] 870 [5] 28 [4,…”

“…It follows from Table 1 that the differences between the minimum and maximum values of Debye temperature θ D are about 20 %, for volume coefficient of thermal expansion α V exceed 32 %, and for bulk modulus B are within 30-43 %. Such differences in the properties of TiN established by different authors [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21] can be explained by using various methods of its synthesis and determination of physicochemical parameters. From this it follows that the properties of titanium nitride are more correctly represented not by specific values, but by rather wide ranges of values.…”