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All results from a given calculation for C6H12 ((1r,3r)-1,3-dimethylcyclobutane)

using model chemistry: HSEh1PBE/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 2 yes CS 1A'

Conformer 1 (C2H)

Jump to S1C2
Vibrational Frequencies calculated at HSEh1PBE/6-311G*
Rotational Constants (cm-1) from geometry optimized at HSEh1PBE/6-311G*
See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-311G*
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (CS)

Jump to S1C1
Energy calculated at HSEh1PBE/6-311G*
 hartrees
Energy at 0K-235.612032
Energy at 298.15K-235.625444
HF Energy-235.612032
Nuclear repulsion energy250.160988
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 HSEh1PBE/6-311G*
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' 3116 2990 140.84      
2 A' 3108 2983 17.41      
3 A' 3104 2979 34.61      
4 A' 3072 2948 18.48      
5 A' 3058 2935 10.89      
6 A' 3053 2929 7.11      
7 A' 3036 2914 44.88      
8 A' 3036 2913 22.23      
9 A' 1516 1455 13.06      
10 A' 1510 1449 3.91      
11 A' 1504 1443 1.88      
12 A' 1422 1365 13.63      
13 A' 1421 1363 1.85      
14 A' 1391 1335 0.43      
15 A' 1373 1318 8.01      
16 A' 1286 1234 4.39      
17 A' 1264 1213 0.44      
18 A' 1209 1160 0.20      
19 A' 1153 1106 0.20      
20 A' 1061 1018 0.18      
21 A' 969 929 1.01      
22 A' 955 916 0.94      
23 A' 877 842 1.20      
24 A' 817 784 1.36      
25 A' 651 625 1.78      
26 A' 429 411 0.10      
27 A' 327 314 0.11      
28 A' 96 93 0.01      
29 A" 3112 2986 43.77      
30 A" 3109 2983 32.12      
31 A" 3106 2980 10.23      
32 A" 3051 2928 83.58      
33 A" 1512 1451 6.40      
34 A" 1510 1449 0.59      
35 A" 1480 1421 6.90      
36 A" 1300 1248 0.23      
37 A" 1279 1227 0.00      
38 A" 1235 1185 0.06      
39 A" 1152 1105 0.59      
40 A" 1140 1094 0.04      
41 A" 1004 964 4.16      
42 A" 924 887 0.00      
43 A" 916 879 0.02      
44 A" 812 779 0.27      
45 A" 376 361 0.01      
46 A" 262 251 0.11      
47 A" 257 247 0.00      
48 A" 236 226 0.05      

Unscaled Zero Point Vibrational Energy (zpe) 36792.8 cm-1
Scaled (by 0.9596) Zero Point Vibrational Energy (zpe) 35306.3 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 HSEh1PBE/6-311G*
ABC
0.26050 0.07758 0.07082

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-311G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.255 0.085 1.078
C2 0.255 0.085 -1.078
C3 -0.659 0.711 0.000
C4 0.849 -0.855 0.000
C5 -0.858 2.212 0.000
C6 0.255 -2.252 0.000
H7 0.993 0.804 1.448
H8 -0.229 -0.388 1.938
H9 0.993 0.804 -1.448
H10 -0.229 -0.388 -1.938
H11 -1.635 0.213 0.000
H12 1.941 -0.922 0.000
H13 0.105 2.733 0.000
H14 -0.839 -2.221 0.000
H15 -1.414 2.540 -0.884
H16 -1.414 2.540 0.884
H17 0.571 -2.814 -0.885
H18 0.571 -2.814 0.885

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.15561.54611.54842.63182.57381.09481.09442.72803.09072.17972.24032.86322.77103.55862.97523.51502.9225
C22.15561.54611.54842.63182.57382.72803.09071.09481.09442.17972.24032.86322.77102.97523.55862.92253.5150
C31.54611.54612.17441.51423.10152.19882.26892.19882.26891.09553.07112.16182.93802.16712.16713.83713.8371
C41.54841.54842.17443.51021.51832.20722.26632.20722.26632.70391.09443.66452.17214.17494.17492.16762.1676
C52.63182.63181.51423.51024.60132.73933.30302.73933.30302.14494.20251.09514.43361.09471.09475.29985.2998
C62.57382.57383.10151.51834.60133.46192.73263.46192.73263.10662.14774.98791.09525.15135.15131.09451.0945
H71.09482.72802.19882.20722.73933.46191.77582.89643.79203.05802.44512.57013.82213.77423.02044.32603.6863
H81.09443.09072.26892.26633.30302.73261.77583.79203.87572.46832.95843.68882.73684.23543.32953.80722.7634
H92.72801.09482.19882.20722.73933.46192.89643.79201.77583.05802.44512.57013.82213.02043.77423.68634.3260
H103.09071.09442.26892.26633.30302.73263.79203.87571.77582.46832.95843.68882.73683.32954.23542.76343.8072
H112.17972.17971.09552.70392.14493.10663.05802.46833.05802.46833.75223.06272.56102.49912.49913.84853.8485
H122.24032.24033.07111.09444.20252.14772.44512.95842.44512.95843.75224.09073.06934.90184.90182.49822.4982
H132.86322.86322.16183.66451.09514.98792.57013.68882.57013.68883.06274.09075.04381.76841.76845.63675.6367
H142.77102.77102.93802.17214.43361.09523.82212.73683.82212.73682.56103.06935.04384.87674.87671.76711.7671
H153.55862.97522.16714.17491.09475.15133.77424.23543.02043.32952.49914.90181.76844.87671.76825.71025.9779
H162.97523.55862.16714.17491.09475.15133.02043.32953.77424.23542.49914.90181.76844.87671.76825.97795.7102
H173.51502.92253.83712.16765.29981.09454.32603.80723.68632.76343.84852.49825.63671.76715.71025.97791.7696
H182.92253.51503.83712.16765.29981.09453.68632.76344.32603.80723.84852.49825.63671.76715.97795.71021.7696

picture of (1r,3r)-1,3-dimethylcyclobutane state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 C2 88.394 C1 C3 C5 118.630
C1 C3 H11 110.040 C1 C4 C2 88.225
C1 C4 C6 114.122 C1 C4 H12 114.836
C2 C3 C5 118.630 C2 C3 H11 110.040
C2 C4 C6 114.122 C2 C4 H12 114.836
C3 C1 C4 89.282 C3 C1 H7 111.595
C3 C1 H8 117.446 C3 C2 C4 89.282
C3 C2 H9 111.595 C3 C2 H10 117.446
C3 C5 H13 110.875 C3 C5 H15 111.313
C3 C5 H16 111.313 C4 C1 H7 112.096
C4 C1 H8 117.044 C4 C2 H9 112.096
C4 C2 H10 117.044 C4 C6 H14 111.395
C4 C6 H17 111.079 C4 C6 H18 111.079
C5 C3 H11 109.511 C6 C4 H12 109.501
H7 C1 H8 108.423 H9 C2 H10 108.423
H13 C5 H15 107.721 H13 C5 H16 107.721
H14 C6 H17 107.616 H14 C6 H18 107.616
H15 C5 H16 107.726 H17 C6 H18 107.884
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.407      
2 C -0.407      
3 C -0.247      
4 C -0.258      
5 C -0.645      
6 C -0.654      
7 H 0.219      
8 H 0.217      
9 H 0.219      
10 H 0.217      
11 H 0.215      
12 H 0.209      
13 H 0.211      
14 H 0.219      
15 H 0.223      
16 H 0.223      
17 H 0.224      
18 H 0.224      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.015 -0.002 0.000 0.015
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.637 0.395 0.000
y 0.395 -40.866 0.000
z 0.000 0.000 -40.502
Traceless
 xyz
x 1.047 0.395 0.000
y 0.395 -0.796 0.000
z 0.000 0.000 -0.250
Polar
3z2-r2-0.501
x2-y21.229
xy0.395
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.064 -0.668 0.000
y -0.668 10.893 0.000
z 0.000 0.000 9.478


<r2> (average value of r2) Å2
<r2> 191.069
(<r2>)1/2 13.823