Chemiluminescence of 1,2-Dioxetanone studied by a closedshell DFT approach Luís Pinto da Silva, Joaquim C.G. Esteves da Silva* Centro de Investigação em Química, Departamento de Quimica e Bioquímica, Faculdade de Ciencias da Universidade do Porto R. Campo Alegre 687 4169-007 Porto, Portugal *Corresponding author: Joaquim C.G. Esteves da Silva e-mail: jcsilva@fc.up.pt; Tel: 351 226082869; Fax: 351 226082959 Supplementary Data: Table S1. S2 before and after spin annihilation, at the open-shell O3LYP/cc-pVDZ level of theory. Table S2. S2 before and after spin annihilation, at the open-shell B3LYP/cc-pVDZ level of theory. Table S3. S2 before and after spin annihilation, at the open-shell MPWB1K/cc-pVDZ level of theory. Table S4. S2 before and after spin annihilation, at the open-shell O3LYP/aug-cc-pVDZ level of theory. Table S5. S2 before and after spin annihilation, at the open-shell B3LYP/aug-cc-pVDZ level of theory. Table S6. S2 before and after spin annihilation, at the open-shell MPWB1K/aug-cc-pVDZ level of theory. Table S7. Cartesian coordinates of the S0 transition state, at the O3LYP/cc-pVDZ level of theory. Table S8. Cartesian coordinates of the S0 transition state, at the B3LYP/cc-pVDZ level of theory. Table S9. Cartesian coordinates of the S0 transition state, at the MPWB1K/cc-pVDZ level of theory. Table S10. Cartesian coordinates of the S0 transition state, at the O3LYP/aug-cc-pVDZ level of theory. Table S11. Cartesian coordinates of the S0 transition state, at the B3LYP/aug-cc-pVDZ level of theory. Table S12. Cartesian coordinates of the S0 transition state, at the MPWB1K/aug-cc-pVDZ level of theory. Figure S1. IRC paths for stables closed- and open-shell S0 and S1 states, with the cc-pVDZ basis set. Figure S2. Bond lengths of O5-O3, C2-C1, O5-C2 and O3-C1 bonds, with the cc-pVDZ basis set. Figure S3. Variation of the O5-C2-C2 and O3-C1-C2 angles, with the cc-pVDZ basis set. Figure S4. NBO charges of the CH2O and CO2 moieties of simple 1,2-dioxetanone, with the ccpVDZ basis set. Figure S5. Atomic NBO charges of O5, O3 and O4, with the cc-pVDZ basis set. Table S1. S2 before and after spin annihilation, at the open-shell O3LYP/cc-pVDZ level of theory. Intrinsic Reaction Before After Coordinates 0.1 0.1425 0.0006 0.0 0.2858 0.0025 -0.1 0.3281 0.0039 -0.2 0.2823 0.0029 -0.3 0.1650 0.0008 -0.4 0.0107 0.0000 Table S2. S2 before and after spin annihilation, at the open-shell B3LYP/cc-pVDZ level of theory. Intrinsic Reaction Before After Coordinates 0.2 0.0734 0.0002 0.1 0.2521 0.0025 0.0 0.3670 0.0044 -0.1 0.4540 0.0080 0.2 0.4227 0.0067 -0.3 0.3270 0.0036 -0.4 0.1822 0.0010 Table S3. S2 before and after spin annihilation, at the open-shell MPWB1K/cc-pVDZ level of theory. Intrinsic Reaction Before After Coordinates 0.2 0.0620 0.0002 0.1 0.2693 0.0037 0.0 0.3833 0.0060 -0.1 0.4924 0.0114 -0.2 0.4465 0.0086 -0.3 0.3373 0.0043 Table S4. S2 before and after spin annihilation, at the open-shell O3LYP/aug-cc-pVDZ level of theory. Intrinsic Reaction Before After Coordinates 0.1 0.1675 0.0009 0.0 0.3103 0.0033 -0.1 0.3547 0.0051 -0.2 0.3094 0.0040 -0.3 0.1979 0.0014 -0.4 0.0320 0.0000 Table S5. S2 before and after spin annihilation, at the open-shell B3LYP/aug-cc-pVDZ level of theory. Intrinsic Reaction Before After Coordinates 0.2 0.1095 0.0005 0.1 0.2877 0.0037 0.0 0.4894 0.0105 -0.1 0.4556 0.0089 -0.2 0.3620 0.0051 -0.3 0.2224 0.0017 Table S6. S2 before and after spin annihilation, at the open-shell MPWB1K/aug-cc-pVDZ level of theory. Intrinsic Reaction Before After Coordinates 0.2 0.0867 0.0004 0.1 0.2952 0.0048 0.0 0.4104 0.0074 -0.1 0.5177 0.0140 -0.2 0.4685 0.0107 -0.3 0.3600 0.0055 -0.4 0.2023 0.0015 Table S7. Cartesian coordinates of the S0 transition state, at the O3LYP/ccpVDZ level of theory. O C C O O H H 1.50937400 0.82788200 -0.58587800 -0.23763900 -1.66615400 0.82539500 0.82539500 0.24126500 -0.88141800 0.02359900 1.24379400 -0.48869000 -1.47283100 -1.47283500 0.00000000 0.00000200 0.00000000 -0.00000300 0.00000200 0.93549400 -0.93548700 Table S8. Cartesian coordinates of the S0 transition state, at the B3LYP/ccpVDZ level of theory. O C C O O H H 1.50280400 0.83432000 -0.60602000 -0.22168100 -1.68495100 0.83695100 0.83695100 0.24590600 -0.88734000 0.02286900 1.23659400 -0.47882400 -1.47315800 -1.47316200 0.00000000 0.00000200 0.00000000 -0.00000300 0.00000200 0.93758600 -0.93757900 Table S9. Cartesian coordinates of the S0 transition state, at the MPWB1K/cc-pVDZ level of theory. O C C O O H H 1.47620000 0.83007300 -0.59971300 -0.20245500 -1.66717900 0.83072400 0.83072400 0.24667100 -0.88538400 0.01959800 1.21985600 -0.48211300 -1.46286900 -1.46287400 0.00000000 0.00000200 0.00000000 -0.00000200 0.00000200 0.93645400 -0.93644700 Table S10. Cartesian coordinates of the S0 transition state, at the O3LYP/aug-cc-pVDZ level of theory. O O C C O H H -1.51594300 0.23051900 -0.82119600 0.58462400 1.66764400 -0.81881600 -0.81951400 0.23247000 1.25242700 -0.88535300 0.03161900 -0.47744400 -1.46932200 -1.46790400 -0.00066700 0.00036600 0.00046200 0.00010700 -0.00035300 -0.93562200 0.93744300 Table S11. Cartesian coordinates of the S0 transition state, at the B3LYP/aug-cc-pVDZ level of theory. O O C C O H H -1.53381500 0.18028500 -0.82835700 0.56177800 1.66297200 -0.86850500 -0.86861500 0.21291100 1.19904100 -0.92361300 -0.04005200 -0.49875500 -1.50988700 -1.50907400 -0.00016600 -0.00052400 0.00037200 0.00005000 0.00029500 -0.93154500 0.93279300 Table S12. Cartesian coordinates of the S0 transition state, at the MPWB1K/aug-cc-pVDZ level of theory. O C C O O H H -1.48630000 -0.81334000 0.59605000 0.17834000 1.67248000 -0.80614000 -0.80630000 0.22320000 -0.89555000 0.03772000 1.23333000 -0.44658000 -1.46633000 -1.46623000 -0.00014000 -0.00002000 0.00003000 0.00015000 -0.00002000 -0.93721000 0.93723000 Figure S1. IRC paths for stables closed- and open-shell S0 and S1 states, with the cc-pVDZ basis set. Figure S2. Bond lengths of O5-O3, C2-C1, O5-C2 and O3-C1 bonds, with the cc-pVDZ basis set. Figure S3. Variation of the O5-C2-C2 and O3-C1-C2 angles, with the cc-pVDZ basis set. Figure S4. NBO charges of the CH2O and CO2 moieties of simple 1,2-dioxetanone, with the ccpVDZ basis set. Figure S5. Atomic NBO charges of O5, O3 and O4, with the cc-pVDZ basis set.