{"id":{"repo_id":"must-thes","oai_identifier":"oai:scholarsmine.mst.edu:doctoral_dissertations-1468"},"canonical_url":"https://search.dev.ndltd.org/etd/must-thes/oai:scholarsmine.mst.edu:doctoral_dissertations-1468","repository":{"repo_id":"must-thes","name":"Missouri University of Science and Technology","base_url":"https://scholarsmine.mst.edu/do/oai/"},"display":{"title":"A thermodynamic study of the zirconium-sulfur, titanium-sulfur and hafnium-sulfur systems in the disulfide-trisulfide region","abstract":"<p>\"A static method was used to study the equilibria which exist between the higher sulfides of zirconium and sulfur at temperatures from 700° to 1000 °C. Both disulfide and trisulfide have been identified by chemical analysis and X-ray diffraction. There exists a two-phase region of 'ZrS<sub>2</sub>' and 'ZrS<sub>3</sub>'. The composition limit of the homogeneous disulfide phase appears to exist between ZrS<sub>1.90</sub> and ZrS<sub>2.00</sub>. The lower composition limit of the homogeneous region of the trisulfide phase was established as ZrS<sub>2.75</sub>.</p> <p>An experimental method of Blitz and co-workers, i.e., the use of evacuated horizontal tubes unequally heated at both ends with a temperature gradient, was adopted for this study. The mixture of sulfur and sulfide was heated until equilibrium was attained. Temperatures from 119° to 445 °C for liquid sulfur were used for the sulfur end of the tube. The resulting zirconium sulfide was then analyzed. The standard free energy change was calculated from the data.</p> <p>An experimental study has been conducted to determine the equilibrium behavior of the system Sr - S - H<sub>2</sub>. 'ZrS<sub>2</sub>' - 'ZrS<sub>3</sub>' two-phase mixtures were heated in the temperature range from 500° to 700 °C in a circulating type equilibrium apparatus. The system was studied by equilibrating H<sub>2</sub> - H<sub>2</sub>S gas mixtures with the condensed sulfide phases. The equilibrium gas mixtures were analyzed with a Fisher Gas Partitioner.</p> <p>The standard linear free energy equation for the reaction ZrS<sub>2</sub> (s) + H<sub>2</sub>S (g) = ZrS<sub>3</sub> (s) * H<sub>e</sub> (g) was derived from the results and was calculated to be :<br /> ΔF° = - 15.46 T + 11,585</p> <p>This equation determines the stability of the zirconium sulfide phases when they are subjected to hydrogen reduction. In a dynamic method, hydrogen was circulated over the heated sulfide until equilibrium was attained.</p> <p>An attempt was made to extend both experimental methods of investigation - the static method of sulfur equilibration in the furnace with temperature gradient and the dynamic method of hydrogen reduction in the circulating type of apparatus - to the Ti - S and the Hf - S systems. The heat of reaction and standard free energy change for the hafnium sulfides were calculated from the experimental results. Limited data were obtained for the titanium sulfides\"--Abstract, pp. ii-iii</p>","abstract_html":"&lt;p&gt;&quot;A static method was used to study the equilibria which exist between the higher sulfides of zirconium and sulfur at temperatures from 700° to 1000 °C. Both disulfide and trisulfide have been identified by chemical analysis and X-ray diffraction. There exists a two-phase region of &#x27;ZrS&lt;sub&gt;2&lt;/sub&gt;&#x27; and &#x27;ZrS&lt;sub&gt;3&lt;/sub&gt;&#x27;. The composition limit of the homogeneous disulfide phase appears to exist between ZrS&lt;sub&gt;1.90&lt;/sub&gt; and ZrS&lt;sub&gt;2.00&lt;/sub&gt;. The lower composition limit of the homogeneous region of the trisulfide phase was established as ZrS&lt;sub&gt;2.75&lt;/sub&gt;.&lt;/p&gt; &lt;p&gt;An experimental method of Blitz and co-workers, i.e., the use of evacuated horizontal tubes unequally heated at both ends with a temperature gradient, was adopted for this study. The mixture of sulfur and sulfide was heated until equilibrium was attained. Temperatures from 119° to 445 °C for liquid sulfur were used for the sulfur end of the tube. The resulting zirconium sulfide was then analyzed. The standard free energy change was calculated from the data.&lt;/p&gt; &lt;p&gt;An experimental study has been conducted to determine the equilibrium behavior of the system Sr - S - H&lt;sub&gt;2&lt;/sub&gt;. &#x27;ZrS&lt;sub&gt;2&lt;/sub&gt;&#x27; - &#x27;ZrS&lt;sub&gt;3&lt;/sub&gt;&#x27; two-phase mixtures were heated in the temperature range from 500° to 700 °C in a circulating type equilibrium apparatus. The system was studied by equilibrating H&lt;sub&gt;2&lt;/sub&gt; - H&lt;sub&gt;2&lt;/sub&gt;S gas mixtures with the condensed sulfide phases. The equilibrium gas mixtures were analyzed with a Fisher Gas Partitioner.&lt;/p&gt; &lt;p&gt;The standard linear free energy equation for the reaction ZrS&lt;sub&gt;2&lt;/sub&gt; (s) + H&lt;sub&gt;2&lt;/sub&gt;S (g) = ZrS&lt;sub&gt;3&lt;/sub&gt; (s) * H&lt;sub&gt;e&lt;/sub&gt; (g) was derived from the results and was calculated to be :&lt;br /&gt; ΔF° = - 15.46 T + 11,585&lt;/p&gt; &lt;p&gt;This equation determines the stability of the zirconium sulfide phases when they are subjected to hydrogen reduction. In a dynamic method, hydrogen was circulated over the heated sulfide until equilibrium was attained.&lt;/p&gt; &lt;p&gt;An attempt was made to extend both experimental methods of investigation - the static method of sulfur equilibration in the furnace with temperature gradient and the dynamic method of hydrogen reduction in the circulating type of apparatus - to the Ti - S and the Hf - S systems. The heat of reaction and standard free energy change for the hafnium sulfides were calculated from the experimental results. Limited data were obtained for the titanium sulfides&quot;--Abstract, pp. ii-iii&lt;/p&gt;","abstract_has_math":false,"creators":["Vermaut, Norbert Achilles"],"institution":"University of Missouri at Rolla","degree_name":"Ph. D. in Metallurgical Engineering","degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2016,"date_issued":"2016-02-10T08:00:00Z","date_published":"2016-02-10T08:00:00Z","updated_at":"2026-07-24T03:18:09Z","subjects":["Metallurgy"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://scholarsmine.mst.edu/doctoral_dissertations/466","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Vermaut, Norbert Achilles"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.available","label":"Dc Date Available","values":["2016-02-10T08:00:00Z"]},{"key":"dc:type","label":"Dc Type","values":["Dissertation - Open Access"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph. D. in Metallurgical Engineering"]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Missouri at Rolla"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Metallurgy"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://scholarsmine.mst.edu/doctoral_dissertations/466"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["<p>\"A static method was used to study the equilibria which exist between the higher sulfides of zirconium and sulfur at temperatures from 700° to 1000 °C. Both disulfide and trisulfide have been identified by chemical analysis and X-ray diffraction. There exists a two-phase region of 'ZrS<sub>2</sub>' and 'ZrS<sub>3</sub>'. The composition limit of the homogeneous disulfide phase appears to exist between ZrS<sub>1.90</sub> and ZrS<sub>2.00</sub>. The lower composition limit of the homogeneous region of the trisulfide phase was established as ZrS<sub>2.75</sub>.</p> <p>An experimental method of Blitz and co-workers, i.e., the use of evacuated horizontal tubes unequally heated at both ends with a temperature gradient, was adopted for this study. The mixture of sulfur and sulfide was heated until equilibrium was attained. Temperatures from 119° to 445 °C for liquid sulfur were used for the sulfur end of the tube. The resulting zirconium sulfide was then analyzed. The standard free energy change was calculated from the data.</p> <p>An experimental study has been conducted to determine the equilibrium behavior of the system Sr - S - H<sub>2</sub>. 'ZrS<sub>2</sub>' - 'ZrS<sub>3</sub>' two-phase mixtures were heated in the temperature range from 500° to 700 °C in a circulating type equilibrium apparatus. The system was studied by equilibrating H<sub>2</sub> - H<sub>2</sub>S gas mixtures with the condensed sulfide phases. The equilibrium gas mixtures were analyzed with a Fisher Gas Partitioner.</p> <p>The standard linear free energy equation for the reaction ZrS<sub>2</sub> (s) + H<sub>2</sub>S (g) = ZrS<sub>3</sub> (s) * H<sub>e</sub> (g) was derived from the results and was calculated to be :<br /> ΔF° = - 15.46 T + 11,585</p> <p>This equation determines the stability of the zirconium sulfide phases when they are subjected to hydrogen reduction. In a dynamic method, hydrogen was circulated over the heated sulfide until equilibrium was attained.</p> <p>An attempt was made to extend both experimental methods of investigation - the static method of sulfur equilibration in the furnace with temperature gradient and the dynamic method of hydrogen reduction in the circulating type of apparatus - to the Ti - S and the Hf - S systems. The heat of reaction and standard free energy change for the hafnium sulfides were calculated from the experimental results. Limited data were obtained for the titanium sulfides\"--Abstract, pp. ii-iii</p>"]},{"key":"dc:title","label":"Title","values":["A thermodynamic study of the zirconium-sulfur, titanium-sulfur and hafnium-sulfur systems in the disulfide-trisulfide region"]}]}],"canonical_facts":{"dc:creator":["Vermaut, Norbert Achilles"],"dc:date.available":["2016-02-10T08:00:00Z"],"dc:description.abstract":["<p>\"A static method was used to study the equilibria which exist between the higher sulfides of zirconium and sulfur at temperatures from 700° to 1000 °C. Both disulfide and trisulfide have been identified by chemical analysis and X-ray diffraction. There exists a two-phase region of 'ZrS<sub>2</sub>' and 'ZrS<sub>3</sub>'. The composition limit of the homogeneous disulfide phase appears to exist between ZrS<sub>1.90</sub> and ZrS<sub>2.00</sub>. The lower composition limit of the homogeneous region of the trisulfide phase was established as ZrS<sub>2.75</sub>.</p> <p>An experimental method of Blitz and co-workers, i.e., the use of evacuated horizontal tubes unequally heated at both ends with a temperature gradient, was adopted for this study. The mixture of sulfur and sulfide was heated until equilibrium was attained. Temperatures from 119° to 445 °C for liquid sulfur were used for the sulfur end of the tube. The resulting zirconium sulfide was then analyzed. The standard free energy change was calculated from the data.</p> <p>An experimental study has been conducted to determine the equilibrium behavior of the system Sr - S - H<sub>2</sub>. 'ZrS<sub>2</sub>' - 'ZrS<sub>3</sub>' two-phase mixtures were heated in the temperature range from 500° to 700 °C in a circulating type equilibrium apparatus. The system was studied by equilibrating H<sub>2</sub> - H<sub>2</sub>S gas mixtures with the condensed sulfide phases. The equilibrium gas mixtures were analyzed with a Fisher Gas Partitioner.</p> <p>The standard linear free energy equation for the reaction ZrS<sub>2</sub> (s) + H<sub>2</sub>S (g) = ZrS<sub>3</sub> (s) * H<sub>e</sub> (g) was derived from the results and was calculated to be :<br /> ΔF° = - 15.46 T + 11,585</p> <p>This equation determines the stability of the zirconium sulfide phases when they are subjected to hydrogen reduction. In a dynamic method, hydrogen was circulated over the heated sulfide until equilibrium was attained.</p> <p>An attempt was made to extend both experimental methods of investigation - the static method of sulfur equilibration in the furnace with temperature gradient and the dynamic method of hydrogen reduction in the circulating type of apparatus - to the Ti - S and the Hf - S systems. The heat of reaction and standard free energy change for the hafnium sulfides were calculated from the experimental results. Limited data were obtained for the titanium sulfides\"--Abstract, pp. ii-iii</p>"],"dc:identifier":["https://scholarsmine.mst.edu/doctoral_dissertations/466"],"dc:subject":["Metallurgy"],"dc:title":["A thermodynamic study of the zirconium-sulfur, titanium-sulfur and hafnium-sulfur systems in the disulfide-trisulfide region"],"dc:type":["Dissertation - Open Access"],"thesis:degree_name":["Ph. D. in Metallurgical Engineering"],"thesis:institution_name":["University of Missouri at Rolla"]},"updated_at":"2026-07-24T03:18:09Z"}