return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for C6H12 (Cyclohexane)

using model chemistry: MP3/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes Chair 1A1g
1 2 no twist boat 1A

Conformer 1 (Chair)

Jump to S1C2
Energy calculated at MP3/6-31G*
 hartrees
Energy at 0K-235.048559
Energy at 298.15K-235.063226
HF Energy-234.207188
Nuclear repulsion energy255.676169
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at MP3/6-31G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1g 3131 2939 0.00      
2 A1g 3079 2890 0.00      
3 A1g 1575 1478 0.00      
4 A1g 1229 1154 0.00      
5 A1g 837 786 0.00      
6 A1g 392 368 0.00      
7 A1u 1432 1344 0.00      
8 A1u 1173 1101 0.00      
9 A1u 1148 1078 0.00      
10 A2g 1387 1302 0.00      
11 A2g 1102 1034 0.00      
12 A2u 3140 2947 119.14      
13 A2u 3082 2893 61.42      
14 A2u 1560 1464 15.65      
15 A2u 1075 1009 2.16      
16 A2u 537 504 0.47      
17 Eg 3133 2940 0.00      
17 Eg 3133 2940 0.00      
18 Eg 3080 2891 0.00      
18 Eg 3080 2891 0.00      
19 Eg 1547 1452 0.00      
19 Eg 1547 1452 0.00      
20 Eg 1439 1350 0.00      
20 Eg 1439 1350 0.00      
21 Eg 1334 1252 0.00      
21 Eg 1334 1252 0.00      
22 Eg 1076 1010 0.00      
22 Eg 1076 1010 0.00      
23 Eg 820 769 0.00      
23 Eg 820 769 0.00      
24 Eg 438 411 0.00      
24 Eg 438 411 0.00      
25 Eu 3128 2936 89.75      
25 Eu 3128 2936 89.75      
26 Eu 3077 2888 31.01      
26 Eu 3077 2888 31.01      
27 Eu 1555 1459 4.43      
27 Eu 1555 1459 4.43      
28 Eu 1431 1344 0.48      
28 Eu 1431 1344 0.48      
29 Eu 1326 1245 2.36      
29 Eu 1326 1245 2.36      
30 Eu 947 889 1.89      
30 Eu 947 889 1.89      
31 Eu 901 846 1.80      
31 Eu 901 846 1.80      
32 Eu 241 226 0.01      
32 Eu 241 226 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 38413.4 cm-1
Scaled (by 0.9386) Zero Point Vibrational Energy (zpe) 36054.8 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at MP3/6-31G*
ABC
0.14370 0.14370 0.08210

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP3/6-31G*

Point Group is D3d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 -1.461 0.231
C2 -1.266 0.731 0.231
C3 1.266 0.731 0.231
C4 0.000 1.461 -0.231
C5 -1.266 -0.731 -0.231
C6 1.266 -0.731 -0.231
H7 0.000 -1.520 1.329
H8 -1.317 0.760 1.329
H9 1.317 0.760 1.329
H10 0.000 1.520 -1.329
H11 -1.317 -0.760 -1.329
H12 1.317 -0.760 -1.329
H13 0.000 -2.493 -0.139
H14 -2.159 1.247 -0.139
H15 2.159 1.247 -0.139
H16 0.000 2.493 0.139
H17 -2.159 -1.247 0.139
H18 2.159 -1.247 0.139

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.53112.53112.95901.53281.53281.09922.80592.80593.36522.15872.15871.09663.48333.48333.95582.17202.1720
C22.53112.53111.53281.53282.95902.80591.09922.80592.15872.15873.36523.48331.09663.48332.17202.17203.9558
C32.53112.53111.53282.95901.53282.80592.80591.09922.15873.36522.15873.48333.48331.09662.17203.95582.1720
C42.95901.53281.53282.53112.53113.36522.15872.15871.09922.80592.80593.95582.17202.17201.09663.48333.4833
C51.53281.53282.95902.53112.53112.15872.15873.36522.80591.09922.80592.17202.17203.95583.48331.09663.4833
C61.53282.95901.53282.53112.53112.15873.36522.15872.80592.80591.09922.17203.95582.17203.48333.48331.0966
H71.09922.80592.80593.36522.15872.15872.63322.63324.03853.06203.06201.76143.80463.80464.18632.48062.4806
H82.80591.09922.80592.15872.15873.36522.63322.63323.06203.06204.03853.80461.76143.80462.48062.48064.1863
H92.80592.80591.09922.15873.36522.15872.63322.63323.06204.03853.06203.80463.80461.76142.48064.18632.4806
H103.36522.15872.15871.09922.80592.80594.03853.06203.06202.63322.63324.18632.48062.48061.76143.80463.8046
H112.15872.15873.36522.80591.09922.80593.06203.06204.03852.63322.63322.48062.48064.18633.80461.76143.8046
H122.15873.36522.15872.80592.80591.09923.06204.03853.06202.63322.63322.48064.18632.48063.80463.80461.7614
H131.09663.48333.48333.95582.17202.17201.76143.80463.80464.18632.48062.48064.31874.31874.99462.50892.5089
H143.48331.09663.48332.17202.17203.95583.80461.76143.80462.48062.48064.18634.31874.31872.50892.50894.9946
H153.48333.48331.09662.17203.95582.17203.80463.80461.76142.48064.18632.48064.31874.31872.50894.99462.5089
H163.95582.17202.17201.09663.48333.48334.18632.48062.48061.76143.80463.80464.99462.50892.50894.31874.3187
H172.17202.17203.95583.48331.09663.48332.48062.48064.18633.80461.76143.80462.50892.50894.99464.31874.3187
H182.17203.95582.17203.48333.48331.09662.48064.18632.48063.80463.80461.76142.50894.99462.50894.31874.3187

picture of Cyclohexane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C5 C2 111.303 C1 C5 H11 109.087
C1 C5 H17 110.281 C1 C6 C3 111.303
C1 C6 H12 109.087 C1 C6 H18 110.281
C2 C4 C3 111.303 C2 C4 H10 109.087
C2 C4 H16 110.281 C2 C5 H11 109.087
C2 C5 H17 110.281 C3 C4 H10 109.087
C3 C4 H16 110.281 C3 C6 H12 109.087
C3 C6 H18 110.281 C4 C2 C5 111.303
C4 C2 H8 109.087 C4 C2 H14 110.281
C4 C3 C6 111.303 C4 C3 H9 109.087
C4 C3 H15 110.281 C5 C1 C6 111.303
C5 C1 H7 109.087 C5 C1 H13 110.281
C5 C2 H8 109.087 C5 C2 H14 110.281
C6 C1 H7 109.087 C6 C1 H13 110.281
C6 C3 H9 109.087 C6 C3 H15 110.281
H7 C1 H13 106.676 H8 C2 H14 106.676
H9 C3 H15 106.676 H10 C4 H16 106.676
H11 C5 H17 106.676 H12 C6 H18 106.676
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (twist boat)

Jump to S1C1
Energy calculated at MP3/6-31G*
 hartrees
Energy at 0K-235.038147
Energy at 298.15K-235.052578
Nuclear repulsion energy256.036652
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at MP3/6-31G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A 3154 2960 99.53      
2 A 3142 2949 0.00      
3 A 3127 2935 7.61      
4 A 3100 2910 0.00      
5 A 3096 2905 50.51      
6 A 3090 2901 0.00      
7 A 1586 1489 0.00      
8 A 1572 1475 11.51      
9 A 1551 1456 0.00      
10 A 1439 1350 0.00      
11 A 1413 1326 0.07      
12 A 1377 1292 0.38      
13 A 1337 1255 0.00      
14 A 1309 1229 0.00      
15 A 1296 1216 0.38      
16 A 1097 1030 0.37      
17 A 1073 1007 0.00      
18 A 975 915 0.00      
19 A 932 875 0.02      
20 A 841 789 0.00      
21 A 807 757 1.87      
22 A 478 449 0.00      
23 A 440 413 0.27      
24 A 289 271 0.00      
25 A 132 124 0.02      
26 B 3147 2954 59.24      
27 B 3139 2946 48.82      
28 B 3128 2936 35.78      
29 B 3100 2909 61.09      
30 B 3089 2899 11.02      
31 B 3084 2895 25.42      
32 B 1566 1470 3.60      
33 B 1561 1465 2.78      
34 B 1552 1457 0.20      
35 B 1427 1339 0.95      
36 B 1426 1339 0.03      
37 B 1424 1337 1.05      
38 B 1345 1262 1.59      
39 B 1218 1143 2.37      
40 B 1186 1114 0.05      
41 B 1162 1090 0.01      
42 B 1143 1073 0.00      
43 B 1053 988 1.50      
44 B 908 852 1.52      
45 B 902 846 0.89      
46 B 786 737 1.53      
47 B 561 527 0.71      
48 B 239 225 0.03      

Unscaled Zero Point Vibrational Energy (zpe) 38396.8 cm-1
Scaled (by 0.9386) Zero Point Vibrational Energy (zpe) 36039.2 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at MP3/6-31G*
ABC
0.14689 0.13906 0.08511

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP3/6-31G*

Point Group is C2

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -1.218 -0.659 0.390
C2 0.000 1.522 -0.000
C3 1.218 -0.659 -0.390
C4 1.218 0.659 0.390
C5 -0.000 -1.522 -0.000
C6 -1.218 0.659 -0.390
H7 -1.189 -0.433 1.464
H8 -0.263 2.179 0.837
H9 2.146 -1.215 -0.218
H10 1.189 0.433 1.464
H11 0.263 -2.179 0.837
H12 -2.146 1.215 -0.218
H13 -2.147 -1.215 0.218
H14 0.264 2.179 -0.838
H15 1.189 -0.433 -1.464
H16 2.147 1.215 0.218
H17 -0.264 -2.179 -0.838
H18 -1.189 0.433 -1.464

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.52822.55842.76981.54341.53071.09773.02743.46432.85322.16992.17741.09573.42853.04713.85502.17492.1514
C22.52822.52821.54343.04421.54342.71651.09663.48512.17803.80412.17943.48511.09662.71642.17933.80382.1780
C32.55842.52821.53071.54342.76993.04693.42861.09572.15142.17503.85513.46433.02721.09772.17742.16992.8534
C42.76981.54341.53072.52822.55842.85322.16992.17741.09773.02743.46433.85502.17492.15141.09573.42853.0471
C51.54343.04421.54342.52822.52822.17803.80412.17942.71651.09663.48512.17933.80382.17803.48511.09662.7164
C61.53071.54342.76992.55842.52822.15142.17503.85513.04693.42861.09572.17742.16992.85343.46433.02721.0977
H71.09772.71653.04692.85322.17802.15142.84143.81672.53122.35652.54161.75483.77223.77213.92353.03363.0529
H83.02741.09663.42862.16993.80412.17502.84144.29442.35654.39042.36433.93061.75593.77212.66864.66913.0335
H93.46433.48511.09572.17742.17943.85513.81674.29442.54162.36434.93294.31523.93031.75482.46852.66883.9237
H102.85322.17802.15141.09772.71653.04692.53122.35652.54162.84143.81673.92353.03363.05291.75483.77223.7721
H112.16993.80412.17503.02741.09663.42862.35654.39042.36432.84144.29442.66864.66913.03353.93061.75593.7721
H122.17742.17943.85513.46433.48511.09572.54162.36434.93293.81674.29442.46852.66883.92374.31523.93031.7548
H131.09573.48513.46433.85502.17932.17741.75483.93064.31523.92352.66862.46854.29443.81704.93292.36432.5416
H143.42851.09663.02722.17493.80382.16993.77221.75593.93033.03364.66912.66884.29442.84092.36434.38972.3564
H153.04712.71641.09772.15142.17802.85343.77213.77211.75483.05293.03353.92373.81702.84092.54162.35642.5316
H163.85502.17932.17741.09573.48513.46433.92352.66862.46851.75483.93064.31524.93292.36432.54164.29443.8170
H172.17493.80382.16993.42851.09663.02723.03364.66912.66883.77221.75593.93032.36434.38972.35644.29442.8409
H182.15142.17802.85343.04712.71641.09773.05293.03353.92373.77213.77211.75482.54162.35642.53163.81702.8409

picture of Cyclohexane state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C5 C2 55.979 C1 C5 H11 109.389
C1 C5 H17 109.784 C1 C6 C3 65.846
C1 C6 H12 110.911 C1 C6 H18 108.754
C2 C4 C3 110.652 C2 C4 H10 109.963
C2 C4 H16 110.185 C2 C5 H11 126.820
C2 C5 H17 126.798 C3 C4 H10 108.755
C3 C4 H16 110.912 C3 C6 H12 170.625
C3 C6 H18 83.056 C4 C2 C5 55.979
C4 C2 H8 109.389 C4 C2 H14 109.784
C4 C3 C6 65.846 C4 C3 H9 110.911
C4 C3 H15 108.754 C5 C1 C6 110.652
C5 C1 H7 109.963 C5 C1 H13 110.185
C5 C2 H8 126.820 C5 C2 H14 126.798
C6 C1 H7 108.755 C6 C1 H13 110.912
C6 C3 H9 170.625 C6 C3 H15 83.056
H7 C1 H13 106.269 H8 C2 H14 106.381
H9 C3 H15 106.269 H10 C4 H16 106.269
H11 C5 H17 106.381 H12 C6 H18 106.269
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability