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Electronic Supplementry Mteril (ESI) for Physicl Chemistry Chemicl Physics Do primry nitrosmines form nd exist in the gs phse? A computtionl study of CH 3 NHNO nd (CH 3 ) 2 NNO. Electronic Supplementry Informtion Yizhen Tng, *1,2 Michel Hnrth, 3 Clus Jørgen Nielsen 2* 1 School of Environmentl nd municipl engineering, Qingdo Technologicl University, Fushun Rod 11. Qingdo, Shndong, 266033 P.R. Chin. 2 Centre for Theoreticl nd Computtionl Chemistry, Deprtment of Chemistry, University of Oslo, P.O. Box 1033 Blindern, 0315 Oslo, Norwy. 3 Institute for Theoreticl Chemistry, Cologne University, Greinstrsse 4, 50939 Cologne, Germny. 1

Electronic Supplementry Mteril (ESI) for Physicl Chemistry Chemicl Physics Figure S1. The optimized geometries t the B3LYP/6-311++G(d,p), B3LYP/ug-cc-pVDZ, MP2/6-311++G(d,p), nd MP2/ug-cc-pVDZ levels for the (CH 3 ) 2 N +NO rection. Bond distnces re in ngstrom nd bond ngles re in degrees. For SP3, the vlues re from the B3LYP/6-311++G(d,p) nd B3LYP/ug-cc-pVDZ levels. 2

Electronic Supplementry Mteril (ESI) for Physicl Chemistry Chemicl Physics Figure S2. The optimized geometries t the B3LYP/6-311++G(d,p), B3LYP/ug-cc-pVDZ, MP2/6-311++G(d,p), nd MP2/ug-cc-pVDZ levels for the CH 3 NH+NO rection. Bond distnces re in ngstrom nd bond ngles re in degrees. For SP8 the vlues re from the B3LYP/6-311++G(d,p) nd B3LYP/ug-cc-pVDZ levels. 3

Tble S1. The reltive energies ( Eelec, including ZPE) nd enthlpies ( H298) t 298 K (kj mol -1 ) for the (CH3)2N + NO rection system t the vrious levels. Species B3LYP/6-311++G(d,p) B3LYP/ug-cc-pVDZ MP2/6-311++G(d,p) MP2/ug-cc-pVDZ G4 Eelec H298 Eelec H298 Eelec H298 Eelec H298 Eelec H298 (CH3)2N+NO 0 0 0 0 0 0 0 0 0 0 HNO+CH3NCH2-41.6-42.9-41.4-42.8-81.7-83.1-86.2-87.5-61.4-61.4 1 HON+CH 3NCH2 126.5 125.2 125.4 124.0 121.7 120.4 116.9 115.6 116.1 116.1 3 HON+CH 3NCH2 42.7 41.4 40.7 39.3 31.6 30.4 26.0 24.7 47.7 47.7 (CH3)2NNO -169.2-174.2-172.3-177.3-185.3-185.8 (CH3)2NNO -169.0-174.1-172.4-177.8-210.0-215.1-220.0-225.5-187.1-187.1 SP1 123.0 117.8 120.7 115.8 120.9 115.3 108.2 102.7 109.2 106.7 SP2 68.3 62.4 62.6 56.6 19.2 13.4-1.2-7.9 52.7 50.2 SP3 140.0 135.8 135.4 131.1 165.0 162.0 128.5 123.5 141.3 138.9 SP4 111.1 108.2 106.8 103.8 214.4 211.4 204.1 201.1 155.0 152.5 4 Electronic Supplementry Mteril (ESI) for Physicl Chemistry Chemicl Physics

Tble S2. The reltive energies ( Eelec, including ZPE) nd enthlpies ( H298) t 298 K (kj mol -1 ) for the CH3NH + NO rection system t the vrious levels. Species B3LYP/6-311++G(d,p) B3LYP/ug-cc-pVDZ MP2/6-311++G(d,p) MP2/ug-cc-pVDZ G4 Eelec H298 Eelec H298 Eelec H298 Eelec H298 Eelec H298 CH3NH+NO 0 0 0 0 0 0 0 0 0 0 CH2NH +HNO -52.7-52.9-52.9-53.1-89.8-89.8-95.0-95.1-73.3-73.3 CH2NH+ 1 HON 115.3 115.2 113.8 113.7 113.7 223.7 108.1 108.0 104.3 104.3 CH2NH+ 3 HON 31.5 31.4 29.1 29.0 23.6 23.6 17.2 17.2 35.9 35.9 syn-ch3nhno -181.9-187.0-185.6-190.8-213.0-217.5-221.5-226.8-195.6-198.1 nti-ch3nhno -179.1-184.2-182.6-187.7-207.4-212.0-214.1-219.0-190.1-192.6 CH3NNOH -176.3-181.9-182.5-188.2-214.5-220.0-223.2-228.8-200.1-202.6 CH2NHNOH -60.5-66.5-66.6-72.7-96.5-103.8-107.5-113.1-79.0-81.5 SP0-84.8-91.6-89.2-96.0-125.6-132.5-133.9-140.7-114.0-116.5 SP5-5.4-25.6-16.4-24.6-52.3-60.5-69.8-77.9-25.0-27.4 SP6-49.8-55.5-58.9-64.7-88.7-94.2-103.3-108.9-69.0-71.5 SP7 58.6 53.0 52.6 47.0 19.6 14.4 0.6-4.8 47. 8 45.3 SP8 113.8 129.5 128.6 124.3 141.6 136.9 126.2 121.5 134.1 131.6 SP9 111.6 108.9 107.0 104.2 216.2 213.4 206.0 203.1 155.8 153.3 5 Electronic Supplementry Mteril (ESI) for Physicl Chemistry Chemicl Physics

Tble S3. The reltive energies ( Eelec, including ZPE) nd enthlpies ( H298) t 298 K (kj mol -1 ) for the CH3NH + NO+O2 rection system t the vrious levels. Species B3LYP/6-311++G(d,p) B3LYP/ug-cc-pVDZ MP2/6-311++G(d,p) MP2/ug-cc-pVDZ G4 Eelec H298 Eelec H298 Eelec H298 Eelec H298 Eelec H298 CH3NH+NO+O2 0 0 0 0 0 0 0 0 0 0 CH2NHNO+HO2-19.3-24.5-25.5-30.8 45.9 41.4 33.9 28.7-18.4-23.4 CH2NH+NO+HO2-60.0-60.1-58.9-59.0-44.8-44.9-46.7-46.8-77.7-80.2 syn-ch3nhno+o2-181.9-187.0-185.6-190.8-213.0-217.5-221.5-226.8-195.6-198.1 CH2NHNOH+O2-65.0-66.5-66.6-72.7-96.5-103.8-107.5-113.1-79.0-81.5 SP5+O2-5.4-25.6-16.4-24.6-52.3-60.5-69.8-77.9-25.0-27.4 SP10 88.4 80.6 82.4 74.6 90.8 82.9 77.3 68.1 31.0 26.0 SP11+HO2-8.5-13.3-11.2-16.0 83.0 77.5 66.4 60.6-0.2-5.2 Tble S4. The verticl excittion energy TV (ev) nd oscilltor strength f (tomic units) of the (CH3)2NNO t the vrious DFT methods with the ug-cc-pvtz geometry. B3LYP BP86 X3LYP PW1PW91 PBE1PBE Stte Exp. TV f TV f TV f TV f TV f 1A 3.41 3.46 0.0010 3.43 0.0011 3.46 0.0010 3.52 0.0011 3.52 0.0011 2A 5.46 5.91 0.1413 5.52 0.1273 5.94 0.1173 6.08 0.1900 6.08 0.1913 G. Geiger, H. Stfst, U. Bruehlmnn nd J. R. Huber, Chemicl Physics Letters, 1981, 79, 521-524. 6 Electronic Supplementry Mteril (ESI) for Physicl Chemistry Chemicl Physics

Tble S5. The verticl excittion energy (in ev) of (CH3)2NNO t the B3LYP/bsis set//b3lyp/6-311++g(d,p) geometry. Stte Exp. 6-311++G(d,p) cc-pvdz cc-pvtz cc-pvqz ug-cc-pvdz ug-cc-pvtz ug-cc-pvqz 1A 3.41 3.44 3.46 3.46 3.45 3.45 3.45 3.44 2A 5.46 5.91 6.14 5.99 5.98 5.88 5.87 5.87 G. Geiger, H. Stfst, U. Bruehlmnn nd J. R. Huber, Chemicl Physics Letters, 1981, 79, 521-524. Tble S6. The verticl excittion energy (ev) of the (CH3)2NNO t the vrious bsis sets with the B3LYP/bsis set//b3lyp/bsis set. Stte Exp. 6-311++G(d,p) cc-pvdz cc-pvtz cc-pvqz ug-cc-pvdz ug-cc-pvtz 1A 3.41 3.44 3.45 3.47 3.47 3.43 3.46 2A 5.46 5.91 6.05 6.01 6.02 5.85 5.91 G. Geiger, H. Stfst, U. Bruehlmnn nd J. R. Huber, Chemicl Physics Letters, 1981, 79, 521-524. Tble S7. The verticl excittion energy (in ev) of the (CH3)2NNO t the CASPT2 nd MR-CI methods with different bsis set. cc-pvdz cc-pvtz ug-cc-pvdz ug-cc-pvtz Stte Exp. CASPT2 MRCI CASPT2 MRCI CASPT2 MRCI CASPT2 1A 3.41 4.03 4.09 3.45 3.47 3.54 3.36 3.43 2A 5.46 6.25 6.27 5.55 6.02 5.45 5.84 5.46 G. Geiger, H. Stfst, U. Bruehlmnn nd J. R. Huber, Chemicl Physics Letters, 1981, 79, 521-524. 7 Electronic Supplementry Mteril (ESI) for Physicl Chemistry Chemicl Physics

Tble S8. The verticl excittion energy TV (ev) nd oscilltor strength f (tomic units) of the first excited stte (1A") of the CH3NHNO, CH3NNOH CH2NHNOH nd CH3NHNO2 t vrious DFT methods with the ug-cc-pvtz geometry. B3LYP BP86 X3LYP PW1PW91 PBE1PBE Species Stte TV f TV f TV f TV f TV f CH3NHNO 1A" 3.43 0.0012 3.38 0.0011 3.44 0.0012 3.49 0.0013 3.49 0.0012 2A 5.23 0.0056 4.61 0.0068 5.25 0.0058 5.46 0.0056 5.49 0.0058 CH3NNOH 1A" 4.70 0.0000 4.63 0.0000 4.71 0.0000 4.77 0.0000 4.78 0.0000 2A 6.47 0.0673 5.97 0.0604 6.51 0.0650 6.69 0.0805 6.69 0.0902 CH2NHNOH 1A" 3.81 0.0047 3.77 0.0048 3.77 0.0048 3.92 0.0053 3.97 0.0053 2A" 4.35 0.0018 4.25 0.0009 4.32 0.0019 4.47 0.0018 4.53 0.0022 Tble S9. The PCM-TDDFT verticl excittion energy (ev) nd oscilltor strength (tomic units) of (CH3)2NNO, CH3NHNO, CH3NNOH, nd CH2NHNOH in vrious solvents t the B3LYP/ug-cc-pVTZ level. Species n-hexne ethnol methnol nitromethne wter gs phse TV f TV f TV f TV f TV f TV f (CH3)2NNO 3.50 0.0015 3.59 0.0015 3.5 3.53 3.58 0.0015 3.59 0.0015 3.60 0.0015 3.49 0.0010 3.70 b 3.41 c CH3NHNO 3.45 0.0014 3.56 0.0018 3.56 0.0014 3.56 0.0015 3.43 0.0012 CH3NNOH 4.68 0.0000 4.67 0.0000 4.67 0.0000 4.67 0.0000 4.70 0.0000 CH2NHNOH 3.95 0.0067 4.10 0.0117 4.11 0.0118 4.11 0.0120 3.81 0.0047 From R. N. Hszeldine nd J. Jnder, Journl of the Chemicl Society, 1954, 691-695. b From M. H. Plumlee nd M. Reinhrd, Environmentl Science & Technology 2007, 41 (17), 6170-6176. c G. Geiger, H. Stfst, U. Bruehlmnn nd J. R. Huber, Chemicl Physics Letters, 1981, 79, 521-524. 8 Electronic Supplementry Mteril (ESI) for Physicl Chemistry Chemicl Physics