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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-235.627970
Energy at 298.15K-235.641377
HF Energy-235.627970
Nuclear repulsion energy250.179425
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' 3114 2991 118.64      
2 A' 3107 2984 16.19      
3 A' 3103 2980 29.78      
4 A' 3069 2948 18.94      
5 A' 3057 2936 10.66      
6 A' 3050 2930 5.48      
7 A' 3033 2913 32.11      
8 A' 3032 2912 28.54      
9 A' 1498 1439 11.01      
10 A' 1491 1432 3.31      
11 A' 1487 1428 2.60      
12 A' 1408 1352 11.25      
13 A' 1407 1351 3.41      
14 A' 1380 1325 0.34      
15 A' 1363 1309 8.12      
16 A' 1278 1228 4.50      
17 A' 1254 1205 0.51      
18 A' 1201 1154 0.25      
19 A' 1149 1103 0.23      
20 A' 1057 1015 0.28      
21 A' 962 924 1.08      
22 A' 951 913 0.90      
23 A' 873 838 1.22      
24 A' 815 783 1.32      
25 A' 649 624 1.80      
26 A' 426 409 0.12      
27 A' 327 314 0.11      
28 A' 97 93 0.01      
29 A" 3110 2987 38.15      
30 A" 3108 2985 26.86      
31 A" 3105 2982 10.54      
32 A" 3049 2928 73.35      
33 A" 1493 1434 5.62      
34 A" 1491 1432 0.43      
35 A" 1464 1406 6.67      
36 A" 1292 1241 0.25      
37 A" 1272 1221 0.00      
38 A" 1228 1179 0.07      
39 A" 1144 1099 0.60      
40 A" 1132 1087 0.06      
41 A" 997 957 4.12      
42 A" 921 884 0.00      
43 A" 911 875 0.01      
44 A" 806 774 0.25      
45 A" 375 360 0.01      
46 A" 261 251 0.11      
47 A" 254 244 0.00      
48 A" 234 225 0.05      

Unscaled Zero Point Vibrational Energy (zpe) 36642.1 cm-1
Scaled (by 0.9604) Zero Point Vibrational Energy (zpe) 35191.0 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 HSEh1PBE/6-311G**
ABC
0.26009 0.07762 0.07089

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 0.256 0.085 1.078
C2 0.256 0.085 -1.078
C3 -0.660 0.710 0.000
C4 0.850 -0.855 0.000
C5 -0.860 2.211 0.000
C6 0.256 -2.252 0.000
H7 0.993 0.807 1.446
H8 -0.227 -0.388 1.938
H9 0.993 0.807 -1.446
H10 -0.227 -0.388 -1.938
H11 -1.634 0.211 0.000
H12 1.942 -0.922 0.000
H13 0.104 2.731 0.000
H14 -0.839 -2.218 0.000
H15 -1.417 2.537 -0.885
H16 -1.417 2.537 0.885
H17 0.572 -2.813 -0.886
H18 0.572 -2.813 0.886

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.15591.54621.54862.63212.57441.09451.09402.72603.09082.17942.24002.86102.76913.55822.97433.51492.9217
C22.15591.54621.54862.63212.57442.72603.09081.09451.09402.17942.24002.86102.76912.97433.55822.92173.5149
C31.54621.54622.17411.51463.10092.19762.26902.19762.26901.09503.07082.16032.93412.16642.16643.83573.8357
C41.54861.54862.17413.51071.51882.20672.26572.20672.26572.70271.09383.66252.17054.17414.17412.16702.1670
C52.63212.63211.51463.51074.60142.73813.30342.73813.30342.14524.20331.09514.42991.09481.09485.29905.2990
C62.57442.57443.10091.51884.60143.46272.73243.46272.73243.10482.14754.98601.09525.14985.14981.09451.0945
H71.09452.72602.19762.20672.73813.46271.77682.89113.78983.05692.44482.56603.82023.77243.01924.32563.6865
H81.09403.09082.26902.26573.30342.73241.77683.78983.87602.46852.95703.68692.73514.23523.32853.80682.7617
H92.72601.09452.19762.20672.73813.46272.89113.78981.77683.05692.44482.56603.82023.01923.77243.68654.3256
H103.09081.09402.26902.26573.30342.73243.78983.87601.77682.46852.95703.68692.73513.32854.23522.76173.8068
H112.17942.17941.09502.70272.14523.10483.05692.46853.05692.46853.75073.06142.55602.49822.49823.84623.8462
H122.24002.24003.07081.09384.20332.14752.44482.95702.44482.95703.75074.08933.06774.90164.90162.49712.4971
H132.86102.86102.16033.66251.09514.98602.56603.68692.56603.68693.06144.08935.03851.76991.76995.63385.6338
H142.76912.76912.93412.17054.42991.09523.82022.73513.82022.73512.55603.06775.03854.87144.87141.76851.7685
H153.55822.97432.16644.17411.09485.14983.77244.23523.01923.32852.49824.90161.76994.87141.76945.70755.9758
H162.97433.55822.16644.17411.09485.14983.01923.32853.77244.23522.49824.90161.76994.87141.76945.97585.7075
H173.51492.92173.83572.16705.29901.09454.32563.80683.68652.76173.84622.49715.63381.76855.70755.97581.7710
H182.92173.51493.83572.16705.29901.09453.68652.76174.32563.80683.84622.49715.63381.76855.97585.70751.7710

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 88.401 C1 C3 C5 118.618
C1 C3 H11 110.039 C1 C4 C2 88.229
C1 C4 C6 114.124 C1 C4 H12 114.839
C2 C3 C5 118.618 C2 C3 H11 110.039
C2 C4 C6 114.124 C2 C4 H12 114.839
C3 C1 C4 89.258 C3 C1 H7 111.500
C3 C1 H8 117.473 C3 C2 C4 89.258
C3 C2 H9 111.500 C3 C2 H10 117.473
C3 C5 H13 110.720 C3 C5 H15 111.226
C3 C5 H16 111.226 C4 C1 H7 112.060
C4 C1 H8 117.002 C4 C2 H9 112.060
C4 C2 H10 117.002 C4 C6 H14 111.233
C4 C6 H17 110.992 C4 C6 H18 110.992
C5 C3 H11 109.526 C6 C4 H12 109.490
H7 C1 H8 108.554 H9 C2 H10 108.554
H13 C5 H15 107.847 H13 C5 H16 107.847
H14 C6 H17 107.734 H14 C6 H18 107.734
H15 C5 H16 107.824 H17 C6 H18 108.004
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 -0.173      
2 C -0.173      
3 C -0.262      
4 C -0.261      
5 C -0.288      
6 C -0.298      
7 H 0.122      
8 H 0.122      
9 H 0.122      
10 H 0.122      
11 H 0.132      
12 H 0.123      
13 H 0.110      
14 H 0.113      
15 H 0.121      
16 H 0.121      
17 H 0.123      
18 H 0.123      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.020 -0.005 0.000 0.020
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.595 0.335 0.000
y 0.335 -40.635 0.000
z 0.000 0.000 -40.437
Traceless
 xyz
x 0.941 0.335 0.000
y 0.335 -0.619 0.000
z 0.000 0.000 -0.321
Polar
3z2-r2-0.643
x2-y21.040
xy0.335
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.195 -0.686 0.000
y -0.686 11.078 0.000
z 0.000 0.000 9.596


<r2> (average value of r2) Å2
<r2> 190.895
(<r2>)1/2 13.816