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COST 507 - Repositório Aberto da Universidade do Porto

COST 507 - Repositório Aberto da Universidade do Porto

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with high precision whereas Jonsson chose not to include them in his assessment.<br />

It should also be mentioned that an ordered δ phase, denoted by δ, has been reported.<br />

It is natural to expect that δ should order at low temperatures, primarily with Ti 2 N! as<br />

the ideal composition. However, the information on δ is not quite clear and Zeng et<br />

al. proposed that δ only occurs as a metastable phase. They did not include it in their<br />

assessment, nor did Jonsson.<br />

When comparing the assessments of the Ti-N system by Jonsson and by Zeng et al.,<br />

the inclusion of the ζ and η phases in the latter one may look as a major difference.<br />

However, they can probably be easily added to Jonsson's description without<br />

changing the parameters of the other phases if the experimental temperatures and<br />

compositions are accepted. On the other hand, it is puzzling that two phases should<br />

occur so close to each other and in such a narrow range of temperature. An<br />

independent check of the range of existence of all three, δ, ε and η, is needed before<br />

their role in the Ti-N phase diagram can be assessed with any certainity. It may be<br />

added that more information is also needed for the ordered δ phase. Jonsson's<br />

assessment of the whole Ti-N system is thus preferred in the present work.<br />

3. Application of the descriptions of TiN and Ti-N to higher order<br />

systems<br />

G m of TiN and the description of the Ti-N system should then be tested against<br />

information on higher-order systems of direct interest. In this case one should<br />

examine the Fe-Ti-N and Al-Ti-N systems.<br />

3.1 The Fe-Ti-N system<br />

Due to its technical importance the solubility of TiN in fcc-Fe has been examined<br />

many times and several equations for its variation with temperature have been<br />

proposed, [60Gur], [62A<strong>da</strong>], [75Nar], [78Mat], [85Wad], [89Tur] and [82Kun]. See<br />

Table 1. These <strong>da</strong>ta can be compared with values calculated termodynamically by<br />

Jonsson [97Jon]. His value agrees well with Kunze [82Kun] and falls below Wa<strong>da</strong><br />

and Pehlke [85Wad] by a factor of about 2. However, it must be remembered that the<br />

termodynamic calculation depends on the descriptions of Ν in fcc-Fe and of Ti in fcc-<br />

Fe. The Fe-N system is probably well established, Frisk [91 Fri], but not the Fe-Ti<br />

system.<br />

Jonsson made similar calculations for L-Fe and δ-bcc-Fe finding a deviation of about<br />

3 on the higher side, see Figs.3 and 4. To improve this requires a modification of the<br />

Fe-Ti system. A recent assessment, made by Saunders [97Sau], gave a good fit of the<br />

solubilities in L, see Fig.4, and bcc but lowered the solubility product in fee by a<br />

factor of about 6. That would be closer to old measurements. See also the last value in<br />

Table I.<br />

TiN may be non-stoichiometric and that should increase its stability. However, that<br />

effect was already taken into account in Figs.3 and 4.<br />

In summary, it may be stated that Saunders has shown that the experimental<br />

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