Supplementary Material Rate constant: Calculations of the microcanonical rate coefficients for the low-lying reaction channels of insertion and ring formation of CH2OO and CH3CHOO were performed with the Chemrate program based on the RRKM theory with Eckart tunneling corrections.[S1] Chemical activation, isomerization, and decomposition were accounted for with the program through the solution of the time-dependent one-dimensional master equation. In the calculation of the specific rate constant, the number of available states in the transition state is obtained at the energy E and with the total angular momentum J resolved based on the rigid-rotor harmonic oscillator (RRHO) assumption for the energy levels. Our predicted rate constants were calculated from conventional (fixed geometry) canonical transition-state theory. In our calculations we did not treat the external rotations of the CH3 group in CH3CHOO because of the lowest vibrational modes are more than 100 cm-1. The Lennard-Jones parameters for the CH2OO and bath gas Ar were = 3.33 Å and ε/κ = 739 cm-1[5b] and the bath gas Ar are = 3.47 Å and ε/κ = 79.3 cm-1.[S2] Because no collision parameters for CH3CHOO are available in the literature, the values = 3.97 Å and /kB = 303 cm-1 were used on the basis of those of CH3CHO.[S2] Figure S1. Full Potential Energy diagram for the CH2OO decomposition. All values (in kcal/mol at 0 K) were computed at the CCSD(T)//B3LYP/Aug-cc-pVTZ level. The values in parentheses are calculated by using the CBS//CCSD/Aug-cc-pVTZ level. Data in the square bracket are predicted at CCSD(T)/ Aug-cc-pVTZ //CAS(8,8)/ cc-pVTZ level. 2 Figure S2. Full Potential Energy diagram for the anti/syn-CH3CHOO decomposition. All values (in kcal/mol at 0 K) were computed at the CCSD(T)//B3LYP/Aug-cc-pVTZ level. 3 4 Figure S3. Geometries of representative reactants, intermediates and transition states of the CH2OO decomposition reaction optimized with the B3LYP/Aug-cc-pVTZ method. Bond length in Å and bond angle in degree. The values in the parenthesis are taken from the experimental and theoretical data (References (a=Ref [7], b= Ref [S3] and c= Ref [S4]). 5 Fig. S4. Insertion transition state (TS1) and TS2 of the CH2OO decomposition reaction optimized with the various level of theory. Bond length in Å and bond angle in degree. 6 Figure S5. Geometries of representative intermediates and transition states of the cyc-CH2OO decomposition reaction optimized with the CAS(8,8)/cc-pVTZ method. Bond length in Å and bond angle in degree. -189.18 3 Energy (Hartree) 3 CH2O + O( P) -189.20 1 1 CH2O + O( D) -189.22 -189.24 1 1 1 CH2OO --> CH2O + O( D) -189.26 1 -189.28 3 1 1 cyc-CH2OO--> CH2O + O( D) 3 1 1 CH2O + O( P) --> CH2O + O( D) 1 -189.30 3 3 CH2OO --> CH2O + O( P) -189.32 -189.34 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 Bond Length (angstrom) Figure S6. Minimum energy paths (MEPs) for decomposition of CH2OO/cyc-CH2OO 1CH2O + O(1D) along with 3CH2O + O(3P) products MEP’s calculated at the CASPT2/aug-ccpVTZ//CAS(8,8) aug-cc-pVTZ level. 7 8 9 10 Figure S7. Geometries of representative reactants, intermediates and transition states of the anti/syn-CH3CHOO decomposition reaction optimized with the B3LYP/ Aug-cc-pVTZ method. Bond length in Å and bond angle in degree. The values in the parenthesis are taken from the experimental and theoretical data (References (d=Ref [S5]). 11 Figure S8. The IRC profile for the loose TS7, computed at the UB3LYP/ Aug-cc-pVTZ level. Table S1. Comparison of geometries of CH2OO optimized at different levels with experiment. r(C-H) [Å] r(C-O) r(O-O) (H-C-H) (H-C-O) [Å] [Å] [0] [0] B3LYP /Aug-cc-PVTZ 1.081, 1.083 1.254 1.351 125.3 119.4, 115.4 (C-O-O) (H-C-H-O) (H-C-O-O) [0] [0] [0] 119.2 180.0 0.0, 180 MP2 /Aug-cc-PVTZ 1.076, 1.081 1.284 1.293 128.0 118.2, 113.9 Refa Refb Refc Expd 1.080, 1.082 1.270 1.343 126.5 118.7, 114.9 1.085, 1.088 1.280 1.322 126.0 119.1 1.088 (trans); 1.094 (cis) 1.272 1.345 --117.8; 114.9 120.1 180.0 0.0, 180.0 117.9 180.0 0.0, 180.0 119.0 ----- 118.0 ----- Optimized at CCSD(T)/A’VQZ from Ref.[S6]. Optimized at CAS-(8,6)+1+2/cc-pvdz from Ref.[S4]. c from Ref. [5]. d From Ref.[7]. a b 12 Table S2: Calculated vibrational frequencies of all the species involved in the CH2OO decomposition reaction computed at B3LYP/aug-cc-pVTZ level. CH2OO c-HC(O)OH (IS1) cyc-CH2OO (IS3) t-HC(O)OH (IS2) HCO-OH (IS8) HCO(H)O (IS9) TS1 TS2 TS3 TS4 TS5 TS6 TS6aa TS6ba 527.7539 951.1004 1543.5028 532.9304 1103.8434 1855.7984 818.9754 1177.4670 1545.1794 628.6244 1121.3971 1811.4189 299.3624 835.0690 1494.9122 442.0322 980.1515 1421.4774 237.6620i 1179.9841 1808.1793 700.2588i 1044.1142 1560.5284 628.5671i 1070.1066 1829.2548 1594.7844i 570.1671 1961.4633 2206.2998i 876.3416 1734.0670 563.1943i 1072.2396 1349.8416 -1387.205i 1115.5223 1524.0592 -1064.288i 1095.3146 1463.3551 673.8573 1242.0509 3118.0945 659.6723 1268.3113 2962.8436 892.4720 1263.8550 3058.8766 676.9814 1298.1481 3048.9104 349.3882 1182.6255 2930.2528 517.9025 1185.7467 2994.2849 149.3850 1202.9054 2758.1544 756.5969 1208.7773 3050.9537 674.3277 1188.8646 2996.3756 309.9284 739.0307 2622.3894 616.8099 1039.6845 2042.5470 848.5014 1143.0895 2853.8434 938.7769 1188.8642 2820.2064 670.4112 1252.7522 2538.4636 913.0029 1401.9893 3267.8201 1032.2532 1413.6639 3781.6492 1030.8543 1307.8105 3151.8623 1051.7129 1401.8108 3717.5079 564.3407 1311.8323 3637.4323 720.3506 1220.2013 3654.0442 169.0346 1480.7097 2931.2788 779.0909 1408.9556 3202.3788 903.8683 1388.5769 3803.6118 361.4684 1034.4198 3765.8437 726.5856 1336.5061 2095.2869 992.2675 1204.0623 2875.3387 998.2709 1379.1070 2864.0267 802.8064 1333.5884 3227.2128 13 TS16 TS17 TS18 TS19 1788.3121i 893.4026 1527.8098 748.6033i 589.2294 1321.3845 1736.7225i 787.7149 1313.6552 1596.9202i 817.1439 1313.2731 694.2104 1168.5533 2090.9734 490.6176 988.2967 1807.5924 393.2161 853.5754 2319.8704 665.5541 838.0535 1612.2365 737.9133 1268.7989 3027.1781 565.9695 1204.8947 2495.4515 551.7243 1257.8944 2977.8264 679.8478 1090.5986 2829.4917 1369.1153 H2 4417.6448 CO2 673.8174 2400.2940 673.8174 H2O 1627.0762 3795.0094 3897.8075 CO 2207.1918 605.7311 1144.0514 1426.0285 693.5179 1181.4902 2897.9895 980.5129 1399.7388 3201.7111 HCO 1102.1245 1929.8710 2655.3283 OH 3694.9235 CH2O 1198.1832 1813.2605 1262.9618 2885.3733 1530.2258 2940.0732 cyc-COO 616.5279 859.4321 1476.1750 COO 318.3604 689.9632 1957.9573 858.4510 1406.1421 1063.2700 3025.8942 open-H2C(O)Oa 788.2718 1088.0923 a CAS(8,8)/ CC-pVTZ method. cyc-HCOO 14 Table S3. Calculated Relative Energies (kcal/mol, ZPE corrections are included) for the decomposition reaction of CH2OO at various levels of theory. CCSD(T)//MP2/ CCSD(T)//B3LYP/ Ref e Aug-cc-PVTZ Aug-cc-PVTZ 0.0 0.0 0.0 CH2OO (RA) -112.2 -111.3 ----c-HC(O)OH (IS1) -26.5 -25.7 -25.1 cyc-CH2OO (IS3) -116.2 -115.3 -116.9 t-HC(O)OH (IS2) ----16.1 ----TS1 18.7 18.7 ----TS2 -107.6 -104.0 ----TS3 -49.9 -48.8 ----TS4 -46.3 -45.6 ----TS5 -120.6 -119.6 -120.5 P1 (H2 + CO2) -112.5 -111.3 -110.6 P2 (H2O + CO) -10.6 -9.9 -8.6 P3 (HCO + OH) ----54.2 ----P4 (CH2O + O(1D)) e [25,S6] f [S7] From Ref ; From Ref . Species Ref f 0.0 -114.6 -24.4 -119.9 ----19.6 -114.6 -52.0 -48.7 -139.4 -126.9 --------- Table S4: Calculated barrier energy for TS1 (ZPE corrections are included) in the decomposition reaction of CH2OO at various levels of theory. Method UB3LYP/aug-cc-pVTZ UCCSD(T)/aug-cc-pVTZ//UB3LYP/aug-cc-pVTZ UB1B95/aug-cc-pVTZ UCCSD(T)/aug-cc-pVTZ//UB1B95/aug-cc-pVTZ UBLYP/aug-cc-pVTZ UCCSD(T)/aug-cc-pVTZ//UBLYP/aug-cc-pVTZ CAS(14,12)/aug-cc-pVTZ UCCSD(T)/CBS//UCCSD/aug-cc-pVTZ Barrier Energy (kcal/mol) 22.0 16.1 25.8 16.0 28.0 17.7 27.9 17.2 For the open shell singlets, the broken symmetry approach (Guess=Mix keyword) was considered. 15 Table S5: Calculated vibrational frequencies for TS1 involved in the CH2OO decomposition reaction computed at various levels of theory. UB3LYP/aug-cc-pVTZ UB1B95/aug-cc-pVTZ UBLYP/aug-cc-pVTZ UCCSD/aug-cc-pVTZ CAS(14,12)/aug-cc-pVTZ 237.6620i 1179.9841 1808.1793 82.7499i 1182.5984 1851.9853 313.6797i 1126.8749 1702.3573 60.3839i 1216.9273 1820.4589 33.2798i 1240.8314 1794.6922 149.3850 1202.9054 2758.1544 153.1229 1220.7257 2812.8289 202.0334 1129.3191 2672.5635 23.0517 1291.4141 2962.5907 60.6724 1305.5120 2864.4831 169.0346 1480.7097 2931.2788 160.9731 1495.4855 2958.6092 221.2693 1389.9192 2858.2147 78.2510 1559.6618 3034.0013 452.4067 1579.5627 3121.8938 16 Table S6: Calculated vibrational frequencies of all the species involved in the a/s-CH3CHOO decomposition reaction computed at B3LYP/aug-cc-pVTZ level. 161.0362 553.6261 968.4525 a-CH3C(H)OO 1344.1830 1462.9127 3061.1894 186.5284 674.9694 982.8428 s-CH3C(H)OO 1349.3641 1460.6878 3050.5502 56.5153 584.1033 998.6663 s-CH3C(O)OH (IS4) 1334.5500 1477.7017 3108.8020 97.0600 597.3922 987.8894 a-CH3C(O)OH (IS5) 1289.8234 1488.1381 3091.7424 204.3565 780.9796 cyc-CH3C(H)OO 1031.6615 (IS6) 1301.0413 1478.6479 3079.8326 157.8587 621.3418 CH2C(H)O-OH 892.0676 (IS7) 1150.9483 1430.6458 3186.6911 129.0636 344.8356 953.6861 CH3CO-OH (IS10) 1329.3303 1457.8950 3092.8965 CH2CH2OO (IS11) 208.7071 257.7804 868.1563 1067.4000 1414.8083 1577.1508 3132.0163 296.2187 757.5949 1047.1600 1399.8186 1559.5322 3140.6185 424.2196 662.6714 1070.2506 1408.5709 1812.1165 3159.8896 431.3577 599.4973 1065.1113 1398.6384 1846.4247 3153.3440 385.0632 839.1231 1133.4651 1402.3023 1491.9822 3096.0492 242.3520 710.3060 968.7588 1324.1354 1696.5667 3271.3581 262.0278 387.3184 969.3839 1361.9171 1478.0766 3099.5884 358.8306 323.9858 892.9820 1157.2806 1458.7545 3019.9414 3145.7196 461.4009 900.9912 1110.6991 1437.9065 3016.1981 3178.4069 545.6066 857.5525 1200.5885 1471.8024 3052.6181 3738.1031 471.8968 854.2080 1198.3270 1472.5281 3036.7854 3794.1273 455.9851 938.7126 1208.6420 1445.4865 3037.2078 3133.6495 321.4184 865.9337 970.9011 1380.0249 3172.3506 3752.0217 276.8649 723.7454 1104.0781 1415.2074 3016.6635 3613.4174 399.5097 17 HCO-OCH3 (IS12) CH2C(H)O(H)O (IS13) cyc-CH2CH2OO (IS14) c-CH3CO(H)O (IS15) t-CH3CO(H)O (IS16) HOCH2C(H)O (IS17) TS7 607.7644 878.5248 1091.6603 1317.8762 2965.8553 61.9766 251.1723 904.8966 1167.3415 1501.7443 2953.7178 102.8530 677.2634 901.4290 1113.2007 1414.8640 3227.7080 356.8698 709.7777 1020.7780 1168.9270 1465.0325 3144.8957 115.8140 571.9177 878.0543 1194.1845 1441.6901 3030.5844 153.8800 487.4937 942.6683 1178.2317 1426.5080 3060.2261 80.0486 543.5854 1077.0226 1246.6080 1479.9358 2992.9706 126.2652i 155.5990 883.5295 1345.1371 1465.4539 607.8742 965.5492 1195.9354 1434.9344 3175.1999 86.2365 484.2796 1032.2203 1404.0586 1844.5739 2959.5925 303.4455 717.3656 950.3264 1208.5236 1709.2182 3259.3056 371.1428 751.5175 1118.8350 1195.9302 1496.7926 3252.0392 271.8427 581.5176 983.3717 1282.8380 1446.0653 3149.3638 249.7090 660.5905 947.2859 1282.5338 1476.6270 3076.4550 201.6679 736.9257 1110.3450 1377.3784 1811.8426 3025.7383 68.3601 508.5441 1122.7938 1380.9068 1799.3646 845.6131 1085.7587 1283.9697 2959.2864 3308.1423 155.2827 675.4562 1144.2732 1422.3774 2917.1030 2968.3218 448.8686 875.1663 956.5207 1313.2157 3166.1531 3713.9579 685.2609 819.2231 1162.9676 1260.6566 3141.2505 3263.9495 369.0987 742.8834 1036.2511 1344.8126 2993.0039 3715.3467 328.7599 838.4435 1089.4662 1372.9051 2929.3356 3343.9418 325.9619 989.5616 1219.4728 1426.9650 2907.3461 3837.9229 152.0552 784.0200 1125.4041 1458.6654 2712.1527 18 TS8 TS9 TS10 TS12 TS13 TS14 TS15 3028.3700 3083.3870 3139.1084 458.9170i 460.0982 971.4374 1354.9920 1463.4369 3080.3112 563.5563i 554.1160 974.3469 1213.7717 1478.4913 3098.2509 2011.7377i 495.4121 724.0447 1216.5883 1441.0621 2948.3591 1609.6416i 720.7239 898.3306 1211.4995 1488.4695 3077.3543 655.3703i 491.0648 907.9529 1355.0340 1459.0920 3027.4688 1302.8695i 418.4410 963.4555 1178.6948 1448.8343 3041.6836 578.3338i 377.7698 916.4298 1388.9397 1466.8355 3020.9667 141.7083 776.9380 1039.5021 1384.2877 1544.4881 3129.5805 141.0239 603.8795 1010.4559 1397.3996 1833.5510 3150.1431 224.2231 582.8917 785.0183 1304.1286 1780.0474 3119.9570 490.1430 743.5973 973.2266 1277.8421 1541.6797 3172.6259 256.1693 742.8548 1084.2910 1397.6300 1568.7058 3059.5363 215.2420 671.9950 987.5502 1202.3917 1476.3152 3138.6550 106.5663 670.8468 1060.6519 1417.9898 1683.9886 3067.4304 365.2039 782.7428 1128.0120 1436.0450 3007.7727 3148.0740 423.4824 838.8998 1153.9258 1465.6462 3043.5448 3814.5047 329.3252 619.9343 1126.0753 1423.8572 2059.5124 3190.5714 531.3901 863.1072 1036.2323 1331.4872 1831.3297 3187.6913 364.7851 876.0533 1141.6920 1434.8311 2995.2095 3163.7387 337.2416 904.6844 1144.1704 1352.2400 2654.6114 3164.2586 208.3929 741.3727 1100.5916 1464.1846 2978.9972 3140.3197 19 TS20 TS21 TS22 TS23 TS24 TS25 TS26 TS27 1733.0728i 361.1690 934.5868 1204.2937 1451.4425 3022.5524 698.7549i 526.6118 878.1629 1184.9327 1388.4080 3079.0445 1116.3862i 273.7007 850.8362 1177.4946 1418.9161 2946.6896 685.2161i 569.1970 926.2781 1147.2443 1369.2254 3121.8106 719.1374i 395.2114 840.4063 1223.2526 1497.0503 3083.9282 1798.6987i 632.9829 860.3225 1124.3265 1430.7613 3070.3656 1145.6972i 476.0714 832.1262 1004.6672 1341.8073 3020.5639 257.1369i 263.4473 550.6235 853.6969 141.8605 670.2983 998.3498 1379.6692 1540.1722 3078.5131 164.4049 597.5179 959.3944 1232.6470 1473.3327 3157.7771 223.8567 668.8740 933.9816 1239.0575 1615.3063 3052.8512 349.5514 608.9691 947.9977 1199.1232 1464.0004 3168.9659 121.4061 698.3705 931.2696 1246.6686 1542.0539 3188.9575 185.6627 750.6458 894.1384 1208.3393 1532.4000 3185.1992 321.2939 553.5249 880.4732 1167.7048 1371.0842 3173.7982 134.9519 412.3688 575.6432 927.1997 248.5456 795.6222 1164.4066 1433.6449 2092.7739 3111.3985 316.3341 782.4668 1042.8405 1248.0011 2500.1200 3272.9579 226.0411 774.2102 1123.1189 1287.3914 1749.6341 3107.3972 374.1084 816.1367 1028.5452 1269.6517 2569.0312 3302.9548 354.3391 742.3551 1004.2377 1436.1479 2962.3719 3219.1361 353.2409 810.0516 1037.9663 1225.1354 1685.9170 3230.4949 453.9712 737.9842 895.1559 1246.1251 1595.7419 3344.3397 154.9831 523.0297 720.5480 1046.9626 20 TS28 TS29 TS30 TS31 CH4 CH3OH CH3CO CH2C(H)O CH3CHO 1078.1336 3180.0082 1678.2346i 446.6475 799.0501 1066.3107 1425.2420 2981.5693 1483.4300i 288.2586 729.6955 904.4847 1398.5545 3040.9145 1429.2448i 332.8137 756.5680 1111.5584 1426.9386 2977.2598 1463.7272i 255.3252 698.4392 920.4445 1432.1890 3051.0600 1339.8235 1558.4874 3129.9251 296.9274 1170.5314 1498.3142 3039.9783 111.7907 958.3397 1452.8623 3017.5172 446.3797 979.8080 1397.5703 2943.8620 158.2103 885.9764 1378.8184 1469.2044 3022.3474 1275.0052 3202.9880 192.6299 601.3184 852.2594 1227.4660 1435.4357 3023.0636 120.1096 457.9308 822.9077 1199.9353 1490.9934 3162.8072 183.1198 496.2984 880.9009 1135.0692 1458.2243 3035.3127 112.6826 339.3053 766.3685 1189.3592 1497.0594 3167.1555 1339.8235 1558.4874 3129.9251 1039.1243 1365.9881 1508.9482 3108.9733 469.6155 1051.1922 1456.9891 3106.8766 507.2606 982.5374 1474.9097 3142.3260 509.5522 1129.1710 1422.2429 1805.8173 3073.2967 1528.7577 3855.9348 262.8695 625.8995 974.1702 1343.8000 2326.6600 3153.1619 189.4764 460.5812 898.7897 1398.4634 2820.7296 3209.1763 271.0967 686.8324 1012.6925 1363.3301 2153.6728 3109.8130 245.9409 398.5985 857.8361 1431.9989 2921.8426 3222.2133 1339.8235 3028.3198 3129.9251 1076.2400 1477.2095 2994.6125 3829.1454 853.6026 1357.9717 1920.1776 3112.8922 767.8116 1160.7027 1544.5793 3253.2028 774.6934 1135.8083 1459.9439 2869.0227 3134.7069 21 cyc-HCC(H)OO 597.1231 875.5137 1070.9704 1646.6744 696.7092 893.3562 1217.8936 3284.4434 720.6320 1002.9894 1251.1569 3320.3237 Table S7. Calculated Relative Energies (kcal/mol, ZPE corrections are included) for the decomposition reaction of anti/syn-CH3CHOO at various levels of theory. Species CCSD(T)//B3LYP/ Refa Refb Refc Refd aug-cc-PVTZ 0.0 0.0 0.0 0.0 0.0 a-CH3C(H)OO s-CH3C(H)OO -3.5 -3.45 --- --- -3.7 IS6 -26.3 - 23.39 -23.99 -26.43 -33.1 IS7 -22.2 -21.22 -21.57 -22.64 -20.9 TS8 15.4 14.89 16.33 17.35 22.1 TS12 13.1 14.40 13.84 12.82 21.7 TS13 19.8 20.68 --- --- 27.1 TS15 38.1 34.54 --- --- 32.2 Taken from Ref.[27] and calculated by using the aMCG3//QCISD/MG3, bMCG3//QCISD/631G(d), cMPW1K/6-31+G(d,p) methods. dMRDCI/split-valence d-polarized 6-31G* basis set calculation results taken from Ref [18c]. Table S8. Arrhenius parametersa,b for the unimolecular decomposition of CH2OO and anti/synCH3C(H)OO giving different products calculated at the CCSD(T)//B3LYP/Aug-cc-PVTZ level at 200-1000 K temperature range including high-pressure ( ) and and low-pressure ( ) limits. Reaction Low Pressure (k0)b High Pressure (k)a A Ea/R k (298 K) A n (K) Ea/R k (298 K) (K) k1 7.28 x 1014 8666 1.51 x 102 3.18 -3.18 8767 6.77 x 10-21 k2 3.13 x 1013 9662 2.52 x 10-1 9.64 -3.24 10082 1.71 x 10-22 k3 7.09 x 1014 8407 3.66 x 102 2.29 x 1010 -6.15 9060 8.26 x 10-19 k4 2.42 x 1013 7966 5.76 x 101 1.40 x 1010 -6.09 8899 1.18 x 10-18 k5 1.65 x 1011 5628 2.09 x 102 5.69 x 1010 -6.22 9595 2.19 x 10-19 k6 1.48 x 1013 11694 1.17 x 10-4 4.99 x 1013 -6.84 13102 4.28 x 10-23 k(T) = Aexp(-Ea/RT) and bThree-parameter k(T) = ATnexp(-Ea/RT) Arrhenius expressions predicted in units of s-1 for and cm3molecule-1s-1for k0. aTwo-parameter 22 REFERENCES [S1] V. Mokrushin, V. Bedanov, W. Tsang, M. Zachariah, V. Knyazev, ChemRate, version 1.5.8; NIST: Gaithersburg, MD, 2009. [S2] Y. Carl, Handbook of Thermodynamic Diagrams, William Andrew Publishing, US, Vol. 4., 1st ed, 1996. [S3] G. Herzberg, Electronic spectra and electronic structure of polyatomic molecules (Van Nostrand, New York, 1966). 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