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All results from a given calculation for C6H12 (Cyclohexane)

using model chemistry: TPSSh/cc-pVTZ

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 TPSSh/cc-pVTZ
 hartrees
Energy at 0K-235.978760
Energy at 298.15K-235.993171
HF Energy-235.978760
Nuclear repulsion energy255.834760
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 TPSSh/cc-pVTZ
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 3047 2950 0.00      
2 A1g 2995 2900 0.00      
3 A1g 1514 1466 0.00      
4 A1g 1182 1144 0.00      
5 A1g 802 777 0.00      
6 A1g 359 348 0.00      
7 A1u 1368 1325 0.00      
8 A1u 1117 1082 0.00      
9 A1u 1095 1060 0.00      
10 A2g 1348 1305 0.00      
11 A2g 1060 1026 0.00      
12 A2u 3054 2957 160.35      
13 A2u 3002 2907 72.56      
14 A2u 1499 1452 12.67      
15 A2u 1042 1009 1.97      
16 A2u 494 479 0.45      
17 Eg 3046 2949 0.00      
17 Eg 3046 2949 0.00      
18 Eg 3000 2905 0.00      
18 Eg 3000 2905 0.00      
19 Eg 1489 1441 0.00      
19 Eg 1489 1441 0.00      
20 Eg 1374 1330 0.00      
20 Eg 1374 1330 0.00      
21 Eg 1290 1249 0.00      
21 Eg 1290 1249 0.00      
22 Eg 1033 1000 0.00      
22 Eg 1033 1000 0.00      
23 Eg 782 757 0.00      
23 Eg 782 757 0.00      
24 Eg 412 399 0.00      
24 Eg 412 399 0.00      
25 Eu 3043 2946 127.50      
25 Eu 3043 2946 127.50      
26 Eu 2994 2899 30.52      
26 Eu 2994 2899 30.52      
27 Eu 1494 1446 3.34      
27 Eu 1494 1446 3.34      
28 Eu 1384 1340 0.76      
28 Eu 1384 1340 0.76      
29 Eu 1283 1243 2.07      
29 Eu 1283 1243 2.07      
30 Eu 906 877 1.52      
30 Eu 906 877 1.52      
31 Eu 863 836 1.88      
31 Eu 863 836 1.88      
32 Eu 218 211 0.00      
32 Eu 218 211 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 37098.4 cm-1
Scaled (by 0.9683) Zero Point Vibrational Energy (zpe) 35922.3 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 TPSSh/cc-pVTZ
ABC
0.14382 0.14382 0.08213

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/cc-pVTZ

Point Group is D3d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 -1.462 0.228
C2 -1.266 0.731 0.228
C3 1.266 0.731 0.228
C4 0.000 1.462 -0.228
C5 -1.266 -0.731 -0.228
C6 1.266 -0.731 -0.228
H7 0.000 -1.531 1.323
H8 -1.326 0.765 1.323
H9 1.326 0.765 1.323
H10 0.000 1.531 -1.323
H11 -1.326 -0.765 -1.323
H12 1.326 -0.765 -1.323
H13 0.000 -2.493 -0.143
H14 -2.159 1.246 -0.143
H15 2.159 1.246 -0.143
H16 0.000 2.493 0.143
H17 -2.159 -1.246 0.143
H18 2.159 -1.246 0.143

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.53212.53212.95911.53111.53111.09722.81382.81383.37032.15532.15531.09563.48343.48343.95582.17132.1713
C22.53212.53211.53111.53112.95912.81381.09722.81382.15532.15533.37033.48341.09563.48342.17132.17133.9558
C32.53212.53211.53112.95911.53112.81382.81381.09722.15533.37032.15533.48343.48341.09562.17133.95582.1713
C42.95911.53111.53112.53212.53213.37032.15532.15531.09722.81382.81383.95582.17132.17131.09563.48343.4834
C51.53111.53112.95912.53212.53212.15532.15533.37032.81381.09722.81382.17132.17133.95583.48341.09563.4834
C61.53112.95911.53112.53212.53212.15533.37032.15532.81382.81381.09722.17133.95582.17133.48343.48341.0956
H71.09722.81382.81383.37032.15532.15532.65132.65134.04593.05623.05621.75333.81083.81084.19302.47652.4765
H82.81381.09722.81382.15532.15533.37032.65132.65133.05623.05624.04593.81081.75333.81082.47652.47654.1930
H92.81382.81381.09722.15533.37032.15532.65132.65133.05624.04593.05623.81083.81081.75332.47654.19302.4765
H103.37032.15532.15531.09722.81382.81384.04593.05623.05622.65132.65134.19302.47652.47651.75333.81083.8108
H112.15532.15533.37032.81381.09722.81383.05623.05624.04592.65132.65132.47652.47654.19303.81081.75333.8108
H122.15533.37032.15532.81382.81381.09723.05624.04593.05622.65132.65132.47654.19302.47653.81083.81081.7533
H131.09563.48343.48343.95582.17132.17131.75333.81083.81084.19302.47652.47654.31794.31794.99412.50932.5093
H143.48341.09563.48342.17132.17133.95583.81081.75333.81082.47652.47654.19304.31794.31792.50932.50934.9941
H153.48343.48341.09562.17133.95582.17133.81083.81081.75332.47654.19302.47654.31794.31792.50934.99412.5093
H163.95582.17132.17131.09563.48343.48344.19302.47652.47651.75333.81083.81084.99412.50932.50934.31794.3179
H172.17132.17133.95583.48341.09563.48342.47652.47654.19303.81081.75333.81082.50932.50934.99414.31794.3179
H182.17133.95582.17133.48343.48341.09562.47654.19302.47653.81083.81081.75332.50934.99412.50934.31794.3179

picture of Cyclohexane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C5 C2 111.561 C1 C5 H11 109.061
C1 C5 H17 110.409 C1 C6 C3 111.561
C1 C6 H12 109.061 C1 C6 H18 110.409
C2 C4 C3 111.561 C2 C4 H10 109.061
C2 C4 H16 110.409 C2 C5 H11 109.061
C2 C5 H17 110.409 C3 C4 H10 109.061
C3 C4 H16 110.409 C3 C6 H12 109.061
C3 C6 H18 110.409 C4 C2 C5 111.561
C4 C2 H8 109.061 C4 C2 H14 110.409
C4 C3 C6 111.561 C4 C3 H9 109.061
C4 C3 H15 110.409 C5 C1 C6 111.561
C5 C1 H7 109.061 C5 C1 H13 110.409
C5 C2 H8 109.061 C5 C2 H14 110.409
C6 C1 H7 109.061 C6 C1 H13 110.409
C6 C3 H9 109.061 C6 C3 H15 110.409
H7 C1 H13 106.176 H8 C2 H14 106.176
H9 C3 H15 106.176 H10 C4 H16 106.176
H11 C5 H17 106.176 H12 C6 H18 106.176
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.100      
2 C -0.100      
3 C -0.100      
4 C -0.100      
5 C -0.100      
6 C -0.100      
7 H 0.045      
8 H 0.045      
9 H 0.045      
10 H 0.045      
11 H 0.045      
12 H 0.045      
13 H 0.056      
14 H 0.056      
15 H 0.056      
16 H 0.056      
17 H 0.056      
18 H 0.056      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.807 0.000 0.000
y 0.000 10.808 0.000
z 0.000 0.000 9.332


<r2> (average value of r2) Å2
<r2> 165.665
(<r2>)1/2 12.871

Conformer 2 (twist boat)

Jump to S1C1
Energy calculated at TPSSh/cc-pVTZ
 hartrees
Energy at 0K-235.968084
Energy at 298.15K 
HF Energy-235.968084
Nuclear repulsion energy255.437014
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 TPSSh/cc-pVTZ
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 3073 2976 142.45      
2 A 3056 2959 0.70      
3 A 3040 2944 0.02      
4 A 3025 2929 13.28      
5 A 3020 2925 42.70      
6 A 3011 2916 0.03      
7 A 1526 1477 0.07      
8 A 1513 1465 8.04      
9 A 1489 1442 0.00      
10 A 1373 1330 0.00      
11 A 1351 1308 0.18      
12 A 1342 1300 0.00      
13 A 1298 1257 0.19      
14 A 1267 1227 0.00      
15 A 1254 1214 0.00      
16 A 1056 1023 0.21      
17 A 1028 996 0.00      
18 A 950 920 0.05      
19 A 877 849 0.00      
20 A 798 772 0.05      
21 A 768 743 1.98      
22 A 452 438 0.00      
23 A 428 414 0.31      
24 A 285 276 0.00      
25 A 101i 98i 0.00      
26 B 3065 2967 62.07      
27 B 3054 2957 69.05      
28 B 3042 2946 59.82      
29 B 3026 2930 81.52      
30 B 3012 2916 3.64      
31 B 3005 2910 34.81      
32 B 1508 1460 2.62      
33 B 1500 1452 2.24      
34 B 1493 1445 0.45      
35 B 1384 1341 1.92      
36 B 1373 1330 2.39      
37 B 1368 1324 1.04      
38 B 1311 1270 1.38      
39 B 1163 1126 1.48      
40 B 1160 1123 0.15      
41 B 1108 1073 0.01      
42 B 1095 1061 0.03      
43 B 1009 977 1.05      
44 B 865 837 1.86      
45 B 860 833 1.52      
46 B 764 740 0.73      
47 B 543 526 0.58      
48 B 201 195 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 37044.8 cm-1
Scaled (by 0.9683) Zero Point Vibrational Energy (zpe) 35870.5 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 TPSSh/cc-pVTZ
ABC
0.14457 0.13983 0.08378

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/cc-pVTZ

Point Group is C2

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -1.357 -0.004 0.429
C2 0.777 1.269 -0.210
C3 0.777 -1.264 -0.214
C4 1.357 0.004 0.429
C5 -0.777 -1.269 -0.210
C6 -0.777 1.264 -0.214
H7 -1.147 -0.000 1.503
H8 1.152 2.151 0.314
H9 1.158 -2.144 0.309
H10 1.147 0.000 1.503
H11 -1.152 -2.151 0.314
H12 -1.158 2.144 0.309
H13 -2.446 -0.003 0.329
H14 1.149 1.339 -1.236
H15 1.142 -1.338 -1.244
H16 2.446 0.003 0.329
H17 -1.149 -1.339 -1.236
H18 -1.142 1.338 -1.244

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.56572.56042.71421.53091.53631.09483.31003.30462.72492.15962.16121.09353.29523.28983.80442.14422.1556
C22.56572.53291.53092.97511.55382.87181.09303.47332.16393.96122.18653.50641.09372.82802.16323.40022.1805
C32.56042.53291.53631.55382.96792.87243.47641.09272.16492.18803.95453.50352.82131.09452.16512.18153.3935
C42.71421.53091.53632.56572.56042.72492.15962.16121.09483.31003.30463.80442.14422.15561.09353.29523.2898
C51.53092.97511.55382.56572.53292.16393.96122.18652.87181.09303.47332.16323.40022.18053.50641.09372.8280
C61.53631.55382.96792.56042.53292.16492.18803.95452.87243.47641.09272.16512.18153.39353.50352.82131.0945
H71.09482.87182.87242.72492.16392.16493.36583.36702.29392.45792.45461.75103.81713.81793.77993.04933.0558
H83.31001.09303.47642.15963.96122.18803.36584.29552.45794.88062.31044.19381.75013.82152.50784.45872.8897
H93.30463.47331.09272.16122.18653.95453.36704.29552.45462.31044.87424.19243.81081.74962.50402.89144.4533
H102.72492.16392.16491.09482.87182.87242.29392.45792.45463.36583.36703.77993.04933.05581.75103.81713.8179
H112.15963.96122.18803.31001.09303.47642.45794.88062.31043.36584.29552.50784.45872.88974.19381.75013.8215
H122.16122.18653.95453.30463.47331.09272.45462.31044.87423.36704.29552.50402.89144.45334.19243.81081.7496
H131.09353.50643.50353.80442.16322.16511.75104.19384.19243.77992.50782.50404.14444.13904.89202.43272.4441
H143.29521.09372.82132.14423.40022.18153.81711.75013.81083.04934.45872.89144.14442.67752.43273.52892.2911
H153.28982.82801.09452.15562.18053.39353.81793.82151.74963.05582.88974.45334.13902.67752.44412.29113.5189
H163.80442.16322.16511.09353.50643.50353.77992.50782.50401.75104.19384.19244.89202.43272.44414.14444.1390
H172.14423.40022.18153.29521.09372.82133.04934.45872.89143.81711.75013.81082.43273.52892.29114.14442.6775
H182.15562.18053.39353.28982.82801.09453.05582.88974.45333.81793.82151.74962.44412.29113.51894.13902.6775

picture of Cyclohexane state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C5 C2 59.580 C1 C5 H11 109.654
C1 C5 H17 108.412 C1 C6 C3 59.610
C1 C6 H12 109.430 C1 C6 H18 108.888
C2 C4 C3 111.346 C2 C4 H10 109.889
C2 C4 H16 109.907 C2 C5 H11 150.221
C2 C5 H17 103.452 C3 C4 H10 109.592
C3 C4 H16 109.686 C3 C6 H12 150.320
C3 C6 H18 103.433 C4 C2 C5 59.580
C4 C2 H8 109.654 C4 C2 H14 108.412
C4 C3 C6 59.610 C4 C3 H9 109.430
C4 C3 H15 108.888 C5 C1 C6 111.346
C5 C1 H7 109.889 C5 C1 H13 109.907
C5 C2 H8 150.221 C5 C2 H14 103.452
C6 C1 H7 109.592 C6 C1 H13 109.686
C6 C3 H9 150.320 C6 C3 H15 103.433
H7 C1 H13 106.293 H8 C2 H14 106.327
H9 C3 H15 106.246 H10 C4 H16 106.293
H11 C5 H17 106.327 H12 C6 H18 106.246
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.085      
2 C -0.108      
3 C -0.108      
4 C -0.085      
5 C -0.108      
6 C -0.108      
7 H 0.041      
8 H 0.056      
9 H 0.056      
10 H 0.041      
11 H 0.056      
12 H 0.056      
13 H 0.055      
14 H 0.047      
15 H 0.047      
16 H 0.055      
17 H 0.047      
18 H 0.047      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 0.043 0.043
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.719 -0.000 0.000
y -0.000 10.698 0.000
z 0.000 0.000 9.227


<r2> (average value of r2) Å2
<r2> 165.445
(<r2>)1/2 12.863