{"title":"二甲醚自由基+O2反应体系的从头算热力学和动力学分析","authors":"Takahiro Yamada, Joseph W. Bozzelli, Tsan Lay","doi":"10.1016/S0082-0784(98)80406-2","DOIUrl":null,"url":null,"abstract":"<div><p>Reaction pathways and kinetics are analyzed on CH<sub>3</sub>OC·H<sub>2</sub>+O<sub>2</sub> reaction system using <em>ab initio</em> calculations to determine tehrmodynamic properties of reactants, intermediate radicals, and transitionstate (TS) compounds. Enthalpies of formation (<em>ΔH<sub>f298</sub><sup>o</sup></em>) are determined using the CBS-q//MP2(full)/6-31G(d,p) method with isodesmic reactions. Entropies (<em>S</em><sub>298</sub><sup>o</sup>) and heat capacities (<em>C<sub>p</sub>(T)</em> 300≤<em>T/K</em>≤1500) are determined using geometric parameters and vibrational frequencies obtained at the MP2(full)/6-31G(d,p) level of theory. Quantum Rice-Ramsperger-Kassel (QRRK) analysis is used to calculated energy-dependent rate constants, <em>k(E)</em>, and the master equations is used to account for collisional stabilization. The dimethyl-ether radical CH<sub>3</sub>OC·H<sub>2</sub> (<em>ΔH<sub>f298</sub><sup>o</sup></em>=0.1 kcal/mol) adds to O<sub>2</sub> to form a peroxy radical CH<sub>3</sub>OCH<sub>2</sub>OO·(<em>ΔH<sub>f298</sub><sup>o</sup></em>=−33.9 kcal/mol). The peroxy radical can undergo dissociation back to reactants or isomerize via hydrogen shift (<em>E<sub>a,rxn</sub></em>=17.7 kcal/mol) to form a hydroperoxy alkyl radical C·H<sub>2</sub>OCH<sub>2</sub>OOH, (<em>ΔH<sub>f298</sub><sup>o</sup></em>=−26.5 kcal/mol). This alkyl radical can undergo β-scission reaction to formaldehyde (CH<sub>2</sub>O)+hydroperoxy methyl radical (C·H<sub>2</sub>OOH), (<em>E<sub>a, rxn</sub></em>=24.7 kcal/mol). The hydroperoxy methyl radical rapidly decomposes to a second CH<sub>2</sub>O plus OH. The reaction barriers for CH<sub>3</sub>OCH<sub>2</sub> +O<sub>2</sub> to 2 CH<sub>2</sub>O+OH are lower than the energy needed for reaction back to CH<sub>3</sub>OC·H<sub>2</sub>+O<sub>2</sub>, and provide a low-energy chain propagation path for dimethyl-ether oxidation.<span><span><span><math><mtable><mtr><mtd><mo>O</mo><mo>H</mo><mo>+</mo><mo>C</mo><msub><mo>H</mo><mn>3</mn></msub><mo>O</mo><mo>C</mo><msub><mo>H</mo><mn>3</mn></msub><mo>→</mo><mo>C</mo><msub><mo>H</mo><mn>3</mn></msub><mo>O</mo><mo>C</mo><mo>⋅</mo><msub><mo>H</mo><mn>2</mn></msub><mo>+</mo><msub><mo>H</mo><mn>2</mn></msub><mo>O</mo><mo>(</mo><mn>1</mn><mo>)</mo></mtd></mtr><mtr><mtd><munder><mrow><mo>+</mo><mo>)</mo><mo>C</mo><msub><mo>H</mo><mn>3</mn></msub><mo>O</mo><mo>C</mo><mo>⋅</mo><msub><mo>H</mo><mn>2</mn></msub><mo>+</mo><msub><mo>O</mo><mn>2</mn></msub><mo>→</mo><mn>2</mn><mo>C</mo><msub><mo>H</mo><mn>2</mn></msub><mo>O</mo><mo>+</mo><mo>O</mo><mo>H</mo></mrow><mo>¯</mo></munder><mo>(</mo><mn>2</mn><mo>)</mo></mtd></mtr><mtr><mtd><mo>C</mo><msub><mo>H</mo><mn>3</mn></msub><mo>O</mo><mo>C</mo><msub><mo>H</mo><mn>3</mn></msub><mo>+</mo><msub><mo>O</mo><mn>2</mn></msub><mo>→</mo><mn>2</mn><mo>C</mo><msub><mo>H</mo><mn>2</mn></msub><mo>O</mo><mo>+</mo><msub><mo>H</mo><mn>2</mn></msub><mo>O</mo></mtd></mtr></mtable></math></span></span></span>Comparison of calculated falloff with experiment indicates that the CBS-q calculated <em>E<sub>a, rxn</sub></em> for the TS of C·H<sub>2</sub>OCH<sub>2</sub>OOH→C·H<sub>2</sub>OOH+CH<sub>2</sub>O needs to be lowered in order to match the data of Sehested et al. Rate constants of important reactions are (<em>k=A(T/K)</em> exp(−<em>E<sub>a</sub>/RT</em>}), <em>A</em> in cm<sup>3</sup>/(mol s), <em>E<sub>A</sub></em> in kcal/mol): <em>k</em><sub>1</sub>, (2.33×10<sup>63</sup>)(<em>T</em>/K)<sup>−16.89</sup><em>e<sup>−11.89/RT</sup></em> for CH<sub>3</sub>OC·H<sub>2</sub>+O<sub>2</sub>⇒CH<sub>3</sub>OCH<sub>2</sub>OO·; <em>k</em><sub>3</sub>, (<em>T</em>/K)<sup>−5.46</sup><em>e</em><sup>−8.59/RT</sup> for CH<sub>3</sub>OC·H<sub>2</sub>+O<sub>2</sub>⇒CH<sub>2</sub>O+CH<sub>2</sub>O+OH at 1 atm..gif\"></p></div>","PeriodicalId":101203,"journal":{"name":"Symposium (International) on Combustion","volume":"27 1","pages":"Pages 201-209"},"PeriodicalIF":0.0000,"publicationDate":"1998-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0082-0784(98)80406-2","citationCount":"4","resultStr":"{\"title\":\"Thermodynamic and kinetic analysis using AB initio calculations on dimethyl-ether radical+O2 reaction system\",\"authors\":\"Takahiro Yamada, Joseph W. Bozzelli, Tsan Lay\",\"doi\":\"10.1016/S0082-0784(98)80406-2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Reaction pathways and kinetics are analyzed on CH<sub>3</sub>OC·H<sub>2</sub>+O<sub>2</sub> reaction system using <em>ab initio</em> calculations to determine tehrmodynamic properties of reactants, intermediate radicals, and transitionstate (TS) compounds. Enthalpies of formation (<em>ΔH<sub>f298</sub><sup>o</sup></em>) are determined using the CBS-q//MP2(full)/6-31G(d,p) method with isodesmic reactions. Entropies (<em>S</em><sub>298</sub><sup>o</sup>) and heat capacities (<em>C<sub>p</sub>(T)</em> 300≤<em>T/K</em>≤1500) are determined using geometric parameters and vibrational frequencies obtained at the MP2(full)/6-31G(d,p) level of theory. Quantum Rice-Ramsperger-Kassel (QRRK) analysis is used to calculated energy-dependent rate constants, <em>k(E)</em>, and the master equations is used to account for collisional stabilization. The dimethyl-ether radical CH<sub>3</sub>OC·H<sub>2</sub> (<em>ΔH<sub>f298</sub><sup>o</sup></em>=0.1 kcal/mol) adds to O<sub>2</sub> to form a peroxy radical CH<sub>3</sub>OCH<sub>2</sub>OO·(<em>ΔH<sub>f298</sub><sup>o</sup></em>=−33.9 kcal/mol). The peroxy radical can undergo dissociation back to reactants or isomerize via hydrogen shift (<em>E<sub>a,rxn</sub></em>=17.7 kcal/mol) to form a hydroperoxy alkyl radical C·H<sub>2</sub>OCH<sub>2</sub>OOH, (<em>ΔH<sub>f298</sub><sup>o</sup></em>=−26.5 kcal/mol). This alkyl radical can undergo β-scission reaction to formaldehyde (CH<sub>2</sub>O)+hydroperoxy methyl radical (C·H<sub>2</sub>OOH), (<em>E<sub>a, rxn</sub></em>=24.7 kcal/mol). The hydroperoxy methyl radical rapidly decomposes to a second CH<sub>2</sub>O plus OH. The reaction barriers for CH<sub>3</sub>OCH<sub>2</sub> +O<sub>2</sub> to 2 CH<sub>2</sub>O+OH are lower than the energy needed for reaction back to CH<sub>3</sub>OC·H<sub>2</sub>+O<sub>2</sub>, and provide a low-energy chain propagation path for dimethyl-ether oxidation.<span><span><span><math><mtable><mtr><mtd><mo>O</mo><mo>H</mo><mo>+</mo><mo>C</mo><msub><mo>H</mo><mn>3</mn></msub><mo>O</mo><mo>C</mo><msub><mo>H</mo><mn>3</mn></msub><mo>→</mo><mo>C</mo><msub><mo>H</mo><mn>3</mn></msub><mo>O</mo><mo>C</mo><mo>⋅</mo><msub><mo>H</mo><mn>2</mn></msub><mo>+</mo><msub><mo>H</mo><mn>2</mn></msub><mo>O</mo><mo>(</mo><mn>1</mn><mo>)</mo></mtd></mtr><mtr><mtd><munder><mrow><mo>+</mo><mo>)</mo><mo>C</mo><msub><mo>H</mo><mn>3</mn></msub><mo>O</mo><mo>C</mo><mo>⋅</mo><msub><mo>H</mo><mn>2</mn></msub><mo>+</mo><msub><mo>O</mo><mn>2</mn></msub><mo>→</mo><mn>2</mn><mo>C</mo><msub><mo>H</mo><mn>2</mn></msub><mo>O</mo><mo>+</mo><mo>O</mo><mo>H</mo></mrow><mo>¯</mo></munder><mo>(</mo><mn>2</mn><mo>)</mo></mtd></mtr><mtr><mtd><mo>C</mo><msub><mo>H</mo><mn>3</mn></msub><mo>O</mo><mo>C</mo><msub><mo>H</mo><mn>3</mn></msub><mo>+</mo><msub><mo>O</mo><mn>2</mn></msub><mo>→</mo><mn>2</mn><mo>C</mo><msub><mo>H</mo><mn>2</mn></msub><mo>O</mo><mo>+</mo><msub><mo>H</mo><mn>2</mn></msub><mo>O</mo></mtd></mtr></mtable></math></span></span></span>Comparison of calculated falloff with experiment indicates that the CBS-q calculated <em>E<sub>a, rxn</sub></em> for the TS of C·H<sub>2</sub>OCH<sub>2</sub>OOH→C·H<sub>2</sub>OOH+CH<sub>2</sub>O needs to be lowered in order to match the data of Sehested et al. Rate constants of important reactions are (<em>k=A(T/K)</em> exp(−<em>E<sub>a</sub>/RT</em>}), <em>A</em> in cm<sup>3</sup>/(mol s), <em>E<sub>A</sub></em> in kcal/mol): <em>k</em><sub>1</sub>, (2.33×10<sup>63</sup>)(<em>T</em>/K)<sup>−16.89</sup><em>e<sup>−11.89/RT</sup></em> for CH<sub>3</sub>OC·H<sub>2</sub>+O<sub>2</sub>⇒CH<sub>3</sub>OCH<sub>2</sub>OO·; <em>k</em><sub>3</sub>, (<em>T</em>/K)<sup>−5.46</sup><em>e</em><sup>−8.59/RT</sup> for CH<sub>3</sub>OC·H<sub>2</sub>+O<sub>2</sub>⇒CH<sub>2</sub>O+CH<sub>2</sub>O+OH at 1 atm..gif\\\"></p></div>\",\"PeriodicalId\":101203,\"journal\":{\"name\":\"Symposium (International) on Combustion\",\"volume\":\"27 1\",\"pages\":\"Pages 201-209\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1998-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/S0082-0784(98)80406-2\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Symposium (International) on Combustion\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0082078498804062\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Symposium (International) on Combustion","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0082078498804062","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Thermodynamic and kinetic analysis using AB initio calculations on dimethyl-ether radical+O2 reaction system
Reaction pathways and kinetics are analyzed on CH3OC·H2+O2 reaction system using ab initio calculations to determine tehrmodynamic properties of reactants, intermediate radicals, and transitionstate (TS) compounds. Enthalpies of formation (ΔHf298o) are determined using the CBS-q//MP2(full)/6-31G(d,p) method with isodesmic reactions. Entropies (S298o) and heat capacities (Cp(T) 300≤T/K≤1500) are determined using geometric parameters and vibrational frequencies obtained at the MP2(full)/6-31G(d,p) level of theory. Quantum Rice-Ramsperger-Kassel (QRRK) analysis is used to calculated energy-dependent rate constants, k(E), and the master equations is used to account for collisional stabilization. The dimethyl-ether radical CH3OC·H2 (ΔHf298o=0.1 kcal/mol) adds to O2 to form a peroxy radical CH3OCH2OO·(ΔHf298o=−33.9 kcal/mol). The peroxy radical can undergo dissociation back to reactants or isomerize via hydrogen shift (Ea,rxn=17.7 kcal/mol) to form a hydroperoxy alkyl radical C·H2OCH2OOH, (ΔHf298o=−26.5 kcal/mol). This alkyl radical can undergo β-scission reaction to formaldehyde (CH2O)+hydroperoxy methyl radical (C·H2OOH), (Ea, rxn=24.7 kcal/mol). The hydroperoxy methyl radical rapidly decomposes to a second CH2O plus OH. The reaction barriers for CH3OCH2 +O2 to 2 CH2O+OH are lower than the energy needed for reaction back to CH3OC·H2+O2, and provide a low-energy chain propagation path for dimethyl-ether oxidation.Comparison of calculated falloff with experiment indicates that the CBS-q calculated Ea, rxn for the TS of C·H2OCH2OOH→C·H2OOH+CH2O needs to be lowered in order to match the data of Sehested et al. Rate constants of important reactions are (k=A(T/K) exp(−Ea/RT}), A in cm3/(mol s), EA in kcal/mol): k1, (2.33×1063)(T/K)−16.89e−11.89/RT for CH3OC·H2+O2⇒CH3OCH2OO·; k3, (T/K)−5.46e−8.59/RT for CH3OC·H2+O2⇒CH2O+CH2O+OH at 1 atm..gif">