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 (cis-1,2-dimethylcyclobutane)

using model chemistry: PBEPBE/Def2TZVPP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 no CS 1A'
1 2 yes C1 1A

Conformer 1 (CS)

Jump to S1C2
Energy calculated at PBEPBE/Def2TZVPP
 hartrees
Energy at 0K-235.586151
Energy at 298.15K 
HF Energy-235.586151
Nuclear repulsion energy250.867645
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 PBEPBE/Def2TZVPP
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' 3044 3007 76.31      
2 A' 3032 2995 46.43      
3 A' 3026 2989 17.05      
4 A' 2988 2951 20.87      
5 A' 2980 2944 45.52      
6 A' 2961 2925 41.94      
7 A' 1453 1435 10.77      
8 A' 1451 1433 3.06      
9 A' 1442 1425 4.59      
10 A' 1359 1343 6.46      
11 A' 1314 1298 2.97      
12 A' 1237 1222 0.21      
13 A' 1210 1195 2.07      
14 A' 1147 1133 0.73      
15 A' 1100 1086 1.45      
16 A' 995 983 0.70      
17 A' 948 937 1.61      
18 A' 942 931 0.34      
19 A' 880 869 0.71      
20 A' 745 736 0.59      
21 A' 716 707 1.51      
22 A' 345 341 0.19      
23 A' 260 257 0.01      
24 A' 223 220 0.02      
25 A" 3027 2990 8.93      
26 A" 3023 2986 42.79      
27 A" 3021 2985 0.94      
28 A" 2978 2942 42.97      
29 A" 2964 2928 7.63      
30 A" 2956 2920 16.15      
31 A" 1437 1419 1.76      
32 A" 1435 1417 6.75      
33 A" 1423 1405 2.34      
34 A" 1352 1335 3.96      
35 A" 1317 1301 1.95      
36 A" 1244 1229 0.00      
37 A" 1223 1208 0.07      
38 A" 1202 1187 0.49      
39 A" 1146 1132 0.12      
40 A" 1079 1066 1.36      
41 A" 998 986 2.79      
42 A" 865 855 0.14      
43 A" 842 832 0.00      
44 A" 651 643 0.85      
45 A" 455 450 0.79      
46 A" 323 320 0.00      
47 A" 227 224 0.02      
48 A" 96i 95i 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 35443.8 cm-1
Scaled (by 0.9879) Zero Point Vibrational Energy (zpe) 35014.9 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 PBEPBE/Def2TZVPP
ABC
0.13738 0.12605 0.07765

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/Def2TZVPP

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.510 -0.041 0.790
C2 0.510 -0.041 -0.790
C3 -0.211 1.342 0.777
C4 -0.211 1.342 -0.777
C5 -0.211 -1.161 1.526
C6 -0.211 -1.161 -1.526
H7 1.534 0.039 1.187
H8 1.534 0.039 -1.187
H9 -1.209 1.322 1.238
H10 -1.209 1.322 -1.238
H11 0.360 2.163 1.232
H12 0.360 2.163 -1.232
H13 -1.270 -1.228 1.233
H14 -1.270 -1.228 -1.233
H15 0.247 -2.145 1.337
H16 -0.186 -0.991 2.613
H17 0.247 -2.145 -1.337
H18 -0.186 -0.991 -2.613

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C11.58041.55932.21081.52172.67171.10172.22842.23902.98782.25232.99422.18422.94432.18962.17033.00363.6014
C21.58042.21081.55932.67171.52172.22841.10172.98782.23902.99422.25232.94432.18423.00363.60142.18962.1703
C31.55932.21081.55422.61243.40112.21652.93311.09942.24901.09852.24392.81623.43003.56092.96874.10334.1153
C42.21081.55931.55423.40112.61242.93312.21652.24901.09942.24391.09853.43002.81624.10334.11533.56092.9687
C51.52172.67172.61243.40113.05142.14503.44172.69183.84753.38534.35621.09992.95591.10151.10103.06194.1425
C62.67171.52173.40112.61243.05143.44172.14503.84752.69184.35623.38532.95591.09993.06194.14251.10151.1010
H71.10172.22842.21652.93312.14503.44172.37413.02923.88032.42733.42633.07693.91462.53892.46063.57724.2968
H82.22841.10172.93312.21653.44172.14502.37413.88033.02923.42632.42733.91463.07693.57724.29682.53892.4606
H92.23902.98781.09942.24902.69183.84753.02923.88032.47681.78003.04452.55093.55203.76182.87874.55814.6077
H102.98782.23902.24901.09943.84752.69183.88033.02922.47683.04451.78003.55202.55094.55814.60773.76182.8787
H112.25232.99421.09852.24393.38534.35622.42733.42631.78003.04452.46313.76184.49744.31013.48605.01655.0025
H122.99422.25232.24391.09854.35623.38533.42632.42733.04451.78002.46314.49743.76185.01655.00254.31013.4860
H132.18422.94432.81623.43001.09992.95593.07693.91462.55093.55203.76184.49742.46681.77551.77003.12264.0032
H142.94432.18423.43002.81622.95591.09993.91463.07693.55202.55094.49743.76182.46683.12264.00321.77551.7700
H152.18963.00363.56094.10331.10153.06192.53893.57723.76184.55814.31015.01651.77553.12261.77402.67494.1385
H162.17033.60142.96874.11531.10104.14252.46064.29682.87874.60773.48605.00251.77004.00321.77404.13855.2264
H173.00362.18964.10333.56093.06191.10153.57722.53894.55813.76185.01654.31013.12261.77552.67494.13851.7740
H183.60142.17034.11532.96874.14251.10104.29682.46064.60772.87875.00253.48604.00321.77004.13855.22641.7740

picture of cis-1,2-dimethylcyclobutane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 89.519 C1 C2 C6 118.906
C1 C2 H8 111.114 C1 C3 C4 90.481
C1 C3 H9 113.599 C1 C3 H11 114.749
C1 C5 H13 111.838 C1 C5 H15 112.183
C1 C5 H16 110.666 C2 C1 C3 89.519
C2 C1 C5 118.906 C2 C1 H7 111.114
C2 C4 C3 90.481 C2 C4 H10 113.599
C2 C4 H12 114.749 C2 C6 H14 111.838
C2 C6 H17 112.183 C2 C6 H18 110.666
C3 C1 C5 115.965 C3 C1 H7 111.649
C3 C4 H10 114.808 C3 C4 H12 114.437
C4 C2 C6 115.965 C4 C2 H8 111.649
C4 C3 H9 114.808 C4 C3 H11 114.437
C5 C1 H7 108.641 C6 C2 H8 108.641
H9 C3 H11 108.159 H10 C4 H12 108.159
H13 C5 H15 107.516 H13 C5 H16 107.070
H14 C6 H17 107.516 H14 C6 H18 107.070
H15 C5 H16 107.310 H17 C6 H18 107.310
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/Def2TZVPP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.047      
2 C 0.047      
3 C -0.127      
4 C -0.127      
5 C -0.277      
6 C -0.277      
7 H 0.041      
8 H 0.041      
9 H 0.042      
10 H 0.042      
11 H 0.055      
12 H 0.055      
13 H 0.068      
14 H 0.068      
15 H 0.072      
16 H 0.079      
17 H 0.072      
18 H 0.079      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.174 -0.043 0.000 0.179
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.892 0.217 0.000
y 0.217 -41.145 0.000
z 0.000 0.000 -40.942
Traceless
 xyz
x 1.151 0.217 0.000
y 0.217 -0.727 0.000
z 0.000 0.000 -0.424
Polar
3z2-r2-0.848
x2-y21.252
xy0.217
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.673 -0.055 0.000
y -0.055 11.403 0.000
z 0.000 0.000 11.532


<r2> (average value of r2) Å2
<r2> 177.218
(<r2>)1/2 13.312

Conformer 2 (C1)

Jump to S1C1
Energy calculated at PBEPBE/Def2TZVPP
 hartrees
Energy at 0K-235.587863
Energy at 298.15K-235.601043
HF Energy-235.587863
Nuclear repulsion energy252.041257
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 PBEPBE/Def2TZVPP
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 3042 3005 72.33      
2 A 3031 2994 20.56      
3 A 3029 2992 39.23      
4 A 3026 2990 38.35      
5 A 3024 2987 4.94      
6 A 3023 2986 25.14      
7 A 2986 2950 27.31      
8 A 2980 2944 54.63      
9 A 2975 2939 31.41      
10 A 2961 2925 16.74      
11 A 2959 2923 30.27      
12 A 2957 2922 22.60      
13 A 1451 1434 3.82      
14 A 1450 1432 6.74      
15 A 1446 1429 5.52      
16 A 1439 1421 2.24      
17 A 1437 1420 7.91      
18 A 1427 1410 2.10      
19 A 1359 1343 7.25      
20 A 1356 1340 5.00      
21 A 1325 1309 2.19      
22 A 1318 1302 2.90      
23 A 1242 1227 0.61      
24 A 1233 1218 1.15      
25 A 1216 1201 0.29      
26 A 1213 1198 0.61      
27 A 1184 1170 0.93      
28 A 1151 1137 0.20      
29 A 1131 1118 1.26      
30 A 1108 1095 1.63      
31 A 1072 1059 1.32      
32 A 1010 998 2.19      
33 A 975 963 0.73      
34 A 940 928 2.25      
35 A 935 924 0.14      
36 A 877 866 0.39      
37 A 869 858 0.18      
38 A 860 849 0.86      
39 A 767 758 0.54      
40 A 733 724 0.21      
41 A 616 608 3.07      
42 A 475 469 0.76      
43 A 342 337 0.18      
44 A 327 323 0.10      
45 A 248 245 0.01      
46 A 225 222 0.02      
47 A 200 198 0.05      
48 A 127 126 0.02      

Unscaled Zero Point Vibrational Energy (zpe) 35537.1 cm-1
Scaled (by 0.9879) Zero Point Vibrational Energy (zpe) 35107.1 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 PBEPBE/Def2TZVPP
ABC
0.14558 0.12013 0.08004

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/Def2TZVPP

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.732 0.270 0.533
C2 -0.772 -0.199 0.482
C3 1.155 -1.089 -0.101
C4 -0.338 -1.454 -0.328
C5 1.131 1.505 -0.263
C6 -1.827 0.701 -0.148
H7 1.090 0.388 1.568
H8 -1.115 -0.482 1.489
H9 1.761 -0.996 -1.014
H10 -0.649 -1.414 -1.382
H11 1.684 -1.764 0.584
H12 -0.661 -2.422 0.079
H13 0.844 1.422 -1.322
H14 -1.554 0.996 -1.172
H15 0.672 2.421 0.135
H16 2.223 1.643 -0.236
H17 -1.986 1.623 0.432
H18 -2.795 0.182 -0.208

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C11.57611.55772.20431.52312.68251.10122.21102.24852.90002.24603.06472.18722.94242.18922.16853.03753.6047
C21.57612.20101.55582.66111.52272.23461.10113.04792.22842.91422.26242.91442.18433.01203.58872.18962.1704
C31.55772.20101.55352.59863.47762.22952.83681.09982.23591.09812.25992.80923.58153.55102.93624.18324.1502
C42.20431.55581.55353.30472.62593.00492.20232.25531.09972.23971.09833.26522.86264.03204.02013.57262.9542
C51.52312.66112.59863.30473.06742.14503.47342.68603.59753.42174.33031.10022.88001.10001.10053.19604.1438
C62.68251.52273.47762.62593.06743.39852.14184.06222.71754.35173.34183.00501.09923.04664.15851.10071.1006
H71.10122.23462.22953.00492.14503.39852.37203.00553.86972.43973.63083.07913.85532.52212.47233.50374.2764
H82.21101.10112.83682.20233.47342.14182.37203.84713.05433.20862.44113.92003.07493.66844.31682.51142.4779
H92.24853.04791.09982.25532.68604.06223.00553.84712.47331.77493.01552.60473.87063.76652.78994.79474.7743
H102.90002.22842.23591.09973.59752.71753.86973.05432.47333.07091.77493.20602.58324.33124.34823.78202.9210
H112.24602.91421.09812.23973.42174.35172.43973.20861.77493.07092.48743.80674.60254.32933.54564.99614.9469
H123.06472.26242.25991.09834.33033.34183.63082.44113.01551.77492.48744.35983.74775.02414.99424.27143.3788
H132.18722.91442.80923.26521.10023.00503.07913.92002.60473.20603.80674.35982.44021.77521.76883.33544.0031
H142.94242.18433.58152.86262.88001.09923.85533.07493.87062.58324.60253.74772.44022.94843.94421.77501.7701
H152.18923.01203.55104.03201.10003.04662.52213.66843.76654.33124.32935.02411.77522.94841.77462.79094.1417
H162.16853.58872.93624.02011.10054.15852.47234.31682.78994.34823.54564.99421.76883.94421.77464.26145.2264
H173.03752.18964.18323.57263.19601.10073.50372.51144.79473.78204.99614.27143.33541.77502.79094.26141.7724
H183.60472.17044.15022.95424.14381.10064.27642.47794.77432.92104.94693.37884.00311.77014.14175.22641.7724

picture of cis-1,2-dimethylcyclobutane state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 89.464 C1 C2 C6 119.907
C1 C2 H8 110.086 C1 C3 C4 90.225
C1 C3 H9 114.486 C1 C3 H11 114.383
C1 C5 H13 111.960 C1 C5 H15 112.131
C1 C5 H16 110.450 C2 C1 C3 89.228
C2 C1 C5 118.313 C2 C1 H7 111.930
C2 C4 C3 90.123 C2 C4 H10 112.978
C2 C4 H12 115.879 C2 C6 H14 111.822
C2 C6 H17 112.156 C2 C6 H18 110.626
C3 C1 C5 115.013 C3 C1 H7 112.846
C3 C4 H10 113.759 C3 C4 H12 115.842
C4 C2 C6 117.075 C4 C2 H8 110.807
C4 C3 H9 115.358 C4 C3 H11 114.167
C5 C1 H7 108.571 C6 C2 H8 108.361
H9 C3 H11 107.707 H10 C4 H12 107.702
H13 C5 H15 107.570 H13 C5 H16 106.977
H14 C6 H17 107.580 H14 C6 H18 107.155
H15 C5 H16 107.501 H17 C6 H18 107.249
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/Def2TZVPP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.051      
2 C 0.029      
3 C -0.120      
4 C -0.134      
5 C -0.290      
6 C -0.263      
7 H 0.046      
8 H 0.040      
9 H 0.050      
10 H 0.041      
11 H 0.052      
12 H 0.057      
13 H 0.071      
14 H 0.066      
15 H 0.076      
16 H 0.077      
17 H 0.075      
18 H 0.077      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.049 0.023 0.147 0.156
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -41.106 0.259 -0.122
y 0.259 -40.820 -0.290
z -0.122 -0.290 -40.086
Traceless
 xyz
x -0.652 0.259 -0.122
y 0.259 -0.224 -0.290
z -0.122 -0.290 0.877
Polar
3z2-r21.753
x2-y2-0.285
xy0.259
xz-0.122
yz-0.290


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.668 -0.039 0.012
y -0.039 11.280 0.061
z 0.012 0.061 9.813


<r2> (average value of r2) Å2
<r2> 175.090
(<r2>)1/2 13.232