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All results from a given calculation for C6H12 (Cyclohexane)

using model chemistry: HF/aug-cc-pVDZ

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 HF/aug-cc-pVDZ
 hartrees
Energy at 0K-234.232303
Energy at 298.15K-234.247237
Nuclear repulsion energy255.936226
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 HF/aug-cc-pVDZ
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 3199 2913 0.00      
2 A1g 3148 2867 0.00      
3 A1g 1621 1476 0.00      
4 A1g 1279 1165 0.00      
5 A1g 853 777 0.00      
6 A1g 405 369 0.00      
7 A1u 1494 1361 0.00      
8 A1u 1218 1109 0.00      
9 A1u 1173 1068 0.00      
10 A2g 1447 1317 0.00      
11 A2g 1140 1038 0.00      
12 A2u 3207 2920 222.87      
13 A2u 3148 2867 81.11      
14 A2u 1598 1455 11.10      
15 A2u 1122 1022 2.22      
16 A2u 558 509 0.49      
17 Eg 3195 2909 0.00      
17 Eg 3195 2909 0.00      
18 Eg 3146 2865 0.00      
18 Eg 3146 2865 0.00      
19 Eg 1588 1446 0.00      
19 Eg 1588 1446 0.00      
20 Eg 1503 1368 0.00      
20 Eg 1503 1368 0.00      
21 Eg 1387 1263 0.00      
21 Eg 1387 1263 0.00      
22 Eg 1101 1002 0.00      
22 Eg 1101 1002 0.00      
23 Eg 850 774 0.00      
23 Eg 850 774 0.00      
24 Eg 459 418 0.00      
24 Eg 459 418 0.00      
25 Eu 3192 2907 171.01      
25 Eu 3192 2907 171.01      
26 Eu 3143 2862 31.71      
26 Eu 3143 2862 31.71      
27 Eu 1599 1456 3.54      
27 Eu 1599 1456 3.54      
28 Eu 1493 1359 0.45      
28 Eu 1493 1359 0.45      
29 Eu 1377 1254 2.30      
29 Eu 1377 1254 2.30      
30 Eu 981 893 1.13      
30 Eu 981 893 1.13      
31 Eu 922 839 1.15      
31 Eu 922 839 1.15      
32 Eu 249 227 0.00      
32 Eu 249 227 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 39488.2 cm-1
Scaled (by 0.9106) Zero Point Vibrational Energy (zpe) 35958.0 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 HF/aug-cc-pVDZ
ABC
0.14387 0.14387 0.08204

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/aug-cc-pVDZ

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 -1.534 1.320
H8 -1.328 0.767 1.320
H9 1.328 0.767 1.320
H10 0.000 1.534 -1.320
H11 -1.328 -0.767 -1.320
H12 1.328 -0.767 -1.320
H13 0.000 -2.485 -0.152
H14 -2.152 1.243 -0.152
H15 2.152 1.243 -0.152
H16 0.000 2.485 0.152
H17 -2.152 -1.243 0.152
H18 2.152 -1.243 0.152

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.53242.53242.95961.53161.53161.09442.81512.81513.37222.15522.15521.09183.47763.47763.94822.16492.1649
C22.53242.53241.53161.53162.95962.81511.09442.81512.15522.15523.37223.47761.09183.47762.16492.16493.9482
C32.53242.53241.53162.95961.53162.81512.81511.09442.15523.37222.15523.47763.47761.09182.16493.94822.1649
C42.95961.53161.53162.53242.53243.37222.15522.15521.09442.81512.81513.94822.16492.16491.09183.47763.4776
C51.53161.53162.95962.53242.53242.15522.15523.37222.81511.09442.81512.16492.16493.94823.47761.09183.4776
C61.53162.95961.53162.53242.53242.15523.37222.15522.81512.81511.09442.16493.94822.16493.47763.47761.0918
H71.09442.81512.81513.37222.15522.15522.65642.65644.04733.05353.05351.75333.80923.80924.18532.46612.4661
H82.81511.09442.81512.15522.15523.37222.65642.65643.05353.05354.04733.80921.75333.80922.46612.46614.1853
H92.81512.81511.09442.15523.37222.15522.65642.65643.05354.04733.05353.80923.80921.75332.46614.18532.4661
H103.37222.15522.15521.09442.81512.81514.04733.05353.05352.65642.65644.18532.46612.46611.75333.80923.8092
H112.15522.15523.37222.81511.09442.81513.05353.05354.04732.65642.65642.46612.46614.18533.80921.75333.8092
H122.15523.37222.15522.81512.81511.09443.05354.04733.05352.65642.65642.46614.18532.46613.80923.80921.7533
H131.09183.47763.47763.94822.16492.16491.75333.80923.80924.18532.46612.46614.30494.30494.98022.50402.5040
H143.47761.09183.47762.16492.16493.94823.80921.75333.80922.46612.46614.18534.30494.30492.50402.50404.9802
H153.47763.47761.09182.16493.94822.16493.80923.80921.75332.46614.18532.46614.30494.30492.50404.98022.5040
H163.94822.16492.16491.09183.47763.47764.18532.46612.46611.75333.80923.80924.98022.50402.50404.30494.3049
H172.16492.16493.94823.47761.09183.47762.46612.46614.18533.80921.75333.80922.50402.50404.98024.30494.3049
H182.16493.94822.16493.47763.47761.09182.46614.18532.46613.80923.80921.75332.50404.98022.50404.30494.3049

picture of Cyclohexane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C5 C2 111.523 C1 C5 H11 109.177
C1 C5 H17 110.093 C1 C6 C3 111.523
C1 C6 H12 109.177 C1 C6 H18 110.093
C2 C4 C3 111.524 C2 C4 H10 109.177
C2 C4 H16 110.093 C2 C5 H11 109.177
C2 C5 H17 110.093 C3 C4 H10 109.177
C3 C4 H16 110.093 C3 C6 H12 109.177
C3 C6 H18 110.093 C4 C2 C5 111.523
C4 C2 H8 109.177 C4 C2 H14 110.093
C4 C3 C6 111.523 C4 C3 H9 109.177
C4 C3 H15 110.093 C5 C1 C6 111.524
C5 C1 H7 109.177 C5 C1 H13 110.093
C5 C2 H8 109.177 C5 C2 H14 110.093
C6 C1 H7 109.177 C6 C1 H13 110.093
C6 C3 H9 109.177 C6 C3 H15 110.093
H7 C1 H13 106.645 H8 C2 H14 106.645
H9 C3 H15 106.645 H10 C4 H16 106.645
H11 C5 H17 106.645 H12 C6 H18 106.645
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.280      
2 C 0.280      
3 C 0.280      
4 C 0.280      
5 C 0.280      
6 C 0.280      
7 H -0.137      
8 H -0.137      
9 H -0.137      
10 H -0.137      
11 H -0.137      
12 H -0.137      
13 H -0.142      
14 H -0.142      
15 H -0.142      
16 H -0.142      
17 H -0.142      
18 H -0.142      


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
Primitive
 xyz
x -40.921 0.000 0.000
y 0.000 -40.921 0.000
z 0.000 0.000 -40.046
Traceless
 xyz
x -0.437 0.000 0.000
y 0.000 -0.437 0.000
z 0.000 0.000 0.875
Polar
3z2-r21.750
x2-y20.000
xy0.000
xz0.000
yz0.000


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


<r2> (average value of r2) Å2
<r2> 165.981
(<r2>)1/2 12.883

Conformer 2 (twist boat)

Jump to S1C1
Energy calculated at HF/aug-cc-pVDZ
 hartrees
Energy at 0K-234.221414
Energy at 298.15K-234.236084
Nuclear repulsion energy256.065218
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 HF/aug-cc-pVDZ
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 3222 2934 187.16      
2 A 3209 2922 0.00      
3 A 3185 2900 20.55      
4 A 3173 2889 0.00      
5 A 3163 2880 63.71      
6 A 3156 2874 0.00      
7 A 1631 1485 0.00      
8 A 1609 1465 8.05      
9 A 1591 1449 0.00      
10 A 1505 1370 0.00      
11 A 1478 1346 0.09      
12 A 1439 1310 0.38      
13 A 1388 1264 0.00      
14 A 1363 1241 0.00      
15 A 1351 1231 0.31      
16 A 1125 1024 0.25      
17 A 1098 1000 0.00      
18 A 1008 918 0.00      
19 A 967 881 0.00      
20 A 855 779 0.00      
21 A 833 758 1.74      
22 A 497 453 0.00      
23 A 455 414 0.18      
24 A 292 266 0.00      
25 A 125 114 0.04      
26 B 3212 2925 114.29      
27 B 3202 2916 100.15      
28 B 3190 2905 64.82      
29 B 3171 2888 86.34      
30 B 3152 2871 16.20      
31 B 3149 2868 24.15      
32 B 1611 1467 3.31      
33 B 1605 1462 2.64      
34 B 1590 1448 0.19      
35 B 1489 1356 0.34      
36 B 1488 1355 1.29      
37 B 1487 1354 0.88      
38 B 1399 1274 1.77      
39 B 1268 1155 2.07      
40 B 1238 1128 0.05      
41 B 1188 1082 0.01      
42 B 1184 1078 0.04      
43 B 1094 996 0.93      
44 B 927 844 1.23      
45 B 920 838 0.71      
46 B 818 745 0.72      
47 B 595 542 0.24      
48 B 253 230 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 39473.3 cm-1
Scaled (by 0.9106) Zero Point Vibrational Energy (zpe) 35944.4 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 HF/aug-cc-pVDZ
ABC
0.14663 0.13918 0.08459

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/aug-cc-pVDZ

Point Group is C2

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -1.392 0.018 0.380
C2 0.744 1.329 -0.000
C3 0.744 -1.177 -0.380
C4 1.392 -0.018 0.380
C5 -0.744 -1.329 -0.000
C6 -0.744 1.177 -0.380
H7 -1.280 0.194 1.453
H8 0.842 2.024 0.836
H9 1.276 -2.109 -0.186
H10 1.280 -0.194 1.453
H11 -0.842 -2.024 0.836
H12 -1.276 2.109 -0.186
H13 -2.465 -0.015 0.187
H14 1.285 1.775 -0.837
H15 0.835 -0.989 -1.453
H16 2.465 0.015 0.187
H17 -1.285 -1.775 -0.837
H18 -0.835 0.989 -1.453

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.53422.56262.78381.54271.52961.09273.03653.45882.88652.16372.16881.09093.42513.05543.86142.17042.1477
C22.53422.53421.54273.04571.54272.73741.09173.48362.17223.80212.17313.48371.09172.73732.17313.80152.1722
C32.56262.53421.52961.54272.78413.05503.42541.09092.14772.17053.86163.45893.03591.09272.16882.16372.8872
C42.78381.54271.52962.53422.56262.88652.16372.16881.09273.03653.45883.86142.17042.14771.09093.42513.0554
C51.54273.04571.54272.53422.53422.17223.80212.17312.73741.09173.48362.17313.80152.17223.48371.09172.7373
C61.52961.54272.78412.56262.53422.14772.17053.86163.05503.42541.09092.16882.16372.88723.45893.03591.0927
H71.09272.73743.05502.88652.17222.14772.86913.81062.58842.34382.52031.74713.78403.78373.95673.02023.0452
H83.03651.09173.42542.16373.80212.17052.86914.27942.34384.38472.35313.93901.74763.78402.66274.66443.0201
H93.45883.48361.09092.16882.17313.86163.81064.27942.52032.35314.92974.30293.93851.74712.46242.66313.9576
H102.88652.17222.14771.09272.73743.05502.58842.34382.52032.86913.81063.95673.02023.04521.74713.78403.7837
H112.16373.80212.17053.03651.09173.42542.34384.38472.35312.86914.27942.66274.66443.02013.93901.74763.7840
H122.16882.17313.86163.45883.48361.09092.52032.35314.92973.81064.27942.46242.66313.95764.30293.93851.7471
H131.09093.48373.45893.86142.17312.16881.74713.93904.30293.95672.66272.46244.27923.81134.92962.35322.5202
H143.42511.09173.03592.17043.80152.16373.78401.74763.93853.02024.66442.66314.27922.86822.35324.38312.3435
H153.05542.73731.09272.14772.17222.88723.78373.78401.74713.04523.02013.95763.81132.86822.52022.34352.5898
H163.86142.17312.16881.09093.48373.45893.95672.66272.46241.74713.93904.30294.92962.35322.52024.27923.8113
H172.17043.80152.16373.42511.09173.03593.02024.66442.66313.78401.74763.93852.35324.38312.34354.27922.8682
H182.14772.17222.88723.05542.73731.09273.04523.02013.95763.78373.78401.74712.52022.34352.58983.81132.8682

picture of Cyclohexane state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C5 C2 56.155 C1 C5 H11 109.241
C1 C5 H17 109.764 C1 C6 C3 65.559
C1 C6 H12 110.598 C1 C6 H18 108.827
C2 C4 C3 111.146 C2 C4 H10 109.841
C2 C4 H16 110.021 C2 C5 H11 126.855
C2 C5 H17 126.801 C3 C4 H10 108.829
C3 C4 H16 110.596 C3 C6 H12 169.429
C3 C6 H18 84.255 C4 C2 C5 56.155
C4 C2 H8 109.241 C4 C2 H14 109.764
C4 C3 C6 65.559 C4 C3 H9 110.598
C4 C3 H15 108.827 C5 C1 C6 111.146
C5 C1 H7 109.841 C5 C1 H13 110.021
C5 C2 H8 126.855 C5 C2 H14 126.801
C6 C1 H7 108.829 C6 C1 H13 110.596
C6 C3 H9 169.429 C6 C3 H15 84.255
H7 C1 H13 106.281 H8 C2 H14 106.344
H9 C3 H15 106.282 H10 C4 H16 106.281
H11 C5 H17 106.344 H12 C6 H18 106.282
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.337      
2 C 0.197      
3 C 0.337      
4 C 0.337      
5 C 0.197      
6 C 0.337      
7 H -0.153      
8 H -0.132      
9 H -0.151      
10 H -0.153      
11 H -0.132      
12 H -0.151      
13 H -0.152      
14 H -0.132      
15 H -0.153      
16 H -0.152      
17 H -0.132      
18 H -0.153      


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
Primitive
 xyz
x -40.811 -0.128 0.000
y -0.128 -40.967 0.000
z 0.000 0.000 -39.995
Traceless
 xyz
x -0.330 -0.128 0.000
y -0.128 -0.564 0.000
z 0.000 0.000 0.894
Polar
3z2-r21.788
x2-y20.156
xy-0.128
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.344 0.029 0.000
y 0.029 10.380 0.000
z 0.000 0.000 9.021


<r2> (average value of r2) Å2
<r2> 164.753
(<r2>)1/2 12.836