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

using model chemistry: PBE1PBE/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 PBE1PBE/6-311G*
Rotational Constants (cm-1) from geometry optimized at PBE1PBE/6-311G*
See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-311G*
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (CS)

Jump to S1C1
Energy calculated at PBE1PBE/6-311G*
 hartrees
Energy at 0K-235.593707
Energy at 298.15K-235.607115
HF Energy-235.593707
Nuclear repulsion energy250.165314
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 PBE1PBE/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' 3119 2990 135.95      
2 A' 3112 2983 17.91      
3 A' 3107 2978 32.56      
4 A' 3075 2947 18.37      
5 A' 3061 2934 10.72      
6 A' 3056 2929 6.92      
7 A' 3039 2913 39.07      
8 A' 3038 2912 26.29      
9 A' 1516 1453 13.04      
10 A' 1510 1447 3.92      
11 A' 1504 1441 1.96      
12 A' 1422 1363 13.62      
13 A' 1421 1362 2.19      
14 A' 1391 1333 0.38      
15 A' 1374 1317 7.92      
16 A' 1286 1233 4.34      
17 A' 1264 1212 0.46      
18 A' 1209 1158 0.20      
19 A' 1155 1107 0.19      
20 A' 1062 1018 0.16      
21 A' 968 928 1.04      
22 A' 955 916 0.92      
23 A' 878 841 1.25      
24 A' 818 784 1.41      
25 A' 651 624 1.81      
26 A' 428 410 0.11      
27 A' 326 313 0.11      
28 A' 97 93 0.01      
29 A" 3115 2986 42.15      
30 A" 3112 2983 31.29      
31 A" 3109 2980 9.80      
32 A" 3054 2927 81.71      
33 A" 1512 1449 6.67      
34 A" 1510 1447 0.39      
35 A" 1480 1419 6.99      
36 A" 1300 1246 0.22      
37 A" 1279 1226 0.00      
38 A" 1236 1184 0.06      
39 A" 1152 1105 0.60      
40 A" 1140 1093 0.05      
41 A" 1004 962 4.25      
42 A" 925 887 0.00      
43 A" 916 878 0.02      
44 A" 812 778 0.27      
45 A" 375 359 0.01      
46 A" 261 251 0.12      
47 A" 256 246 0.00      
48 A" 235 226 0.05      

Unscaled Zero Point Vibrational Energy (zpe) 36811.2 cm-1
Scaled (by 0.9585) Zero Point Vibrational Energy (zpe) 35283.5 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 PBE1PBE/6-311G*
ABC
0.26041 0.07759 0.07084

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/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 -0.659 0.711 0.000
C4 0.849 -0.855 0.000
C5 -0.859 2.212 0.000
C6 0.256 -2.252 0.000
H7 0.993 0.805 1.448
H8 -0.229 -0.387 1.938
H9 0.993 0.805 -1.448
H10 -0.229 -0.387 -1.938
H11 -1.635 0.212 0.000
H12 1.942 -0.922 0.000
H13 0.104 2.734 0.000
H14 -0.839 -2.221 0.000
H15 -1.415 2.539 -0.884
H16 -1.415 2.539 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
C12.15541.54601.54832.63182.57381.09491.09452.72763.09072.17962.24032.86352.77123.55862.97523.51502.9224
C22.15541.54601.54832.63182.57382.72763.09071.09491.09452.17962.24032.86352.77122.97523.55862.92243.5150
C31.54601.54602.17421.51413.10122.19882.26882.19882.26881.09563.07112.16202.93782.16702.16703.83693.8369
C41.54831.54832.17423.51031.51822.20702.26642.20702.26642.70351.09463.66512.17224.17484.17482.16752.1675
C52.63182.63181.51413.51034.60112.73963.30292.73963.30292.14494.20291.09524.43331.09491.09495.29965.2996
C62.57382.57383.10121.51824.60113.46192.73283.46192.73283.10602.14764.98821.09535.15085.15081.09461.0946
H71.09492.72762.19882.20702.73963.46191.77612.89563.79183.05822.44502.57043.82243.77453.02094.32603.6863
H81.09453.09072.26882.26643.30292.73281.77613.79183.87602.46822.95853.68892.73714.23533.32913.80752.7635
H92.72761.09492.19882.20702.73963.46192.89563.79181.77613.05822.44502.57043.82243.02093.77453.68634.3260
H103.09071.09452.26882.26643.30292.73283.79183.87601.77612.46822.95853.68892.73713.32914.23532.76353.8075
H112.17962.17961.09562.70352.14493.10603.05822.46823.05822.46823.75203.06292.56032.49892.49893.84803.8480
H122.24032.24033.07111.09464.20292.14762.44502.95852.44502.95853.75204.09163.06954.90224.90222.49802.4980
H132.86352.86352.16203.66511.09524.98822.57043.68892.57043.68893.06294.09165.04401.76871.76875.63715.6371
H142.77122.77122.93782.17224.43331.09533.82242.73713.82242.73712.56033.06955.04404.87604.87601.76751.7675
H153.55862.97522.16704.17481.09495.15083.77454.23533.02093.32912.49894.90221.76874.87601.76855.70975.9776
H162.97523.55862.16704.17481.09495.15083.02093.32913.77454.23532.49894.90221.76874.87601.76855.97765.7097
H173.51502.92243.83692.16755.29961.09464.32603.80753.68632.76353.84802.49805.63711.76755.70975.97761.7699
H182.92243.51503.83692.16755.29961.09463.68632.76354.32603.80753.84802.49805.63711.76755.97765.70971.7699

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 88.391 C1 C3 C5 118.639
C1 C3 H11 110.034 C1 C4 C2 88.222
C1 C4 C6 114.129 C1 C4 H12 114.833
C2 C3 C5 118.639 C2 C3 H11 110.034
C2 C4 C6 114.129 C2 C4 H12 114.833
C3 C1 C4 89.279 C3 C1 H7 111.596
C3 C1 H8 117.441 C3 C2 C4 89.279
C3 C2 H9 111.596 C3 C2 H10 117.441
C3 C5 H13 110.883 C3 C5 H15 111.302
C3 C5 H16 111.302 C4 C1 H7 112.087
C4 C1 H8 117.048 C4 C2 H9 112.087
C4 C2 H10 117.048 C4 C6 H14 111.401
C4 C6 H17 111.068 C4 C6 H18 111.068
C5 C3 H11 109.505 C6 C4 H12 109.496
H7 C1 H8 108.431 H9 C2 H10 108.431
H13 C5 H15 107.728 H13 C5 H16 107.728
H14 C6 H17 107.624 H14 C6 H18 107.624
H15 C5 H16 107.729 H17 C6 H18 107.886
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.406      
2 C -0.406      
3 C -0.253      
4 C -0.266      
5 C -0.645      
6 C -0.653      
7 H 0.220      
8 H 0.218      
9 H 0.220      
10 H 0.218      
11 H 0.216      
12 H 0.210      
13 H 0.212      
14 H 0.220      
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 -0.001 0.000 0.015
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.611 0.401 0.000
y 0.401 -40.841 0.000
z 0.000 0.000 -40.476
Traceless
 xyz
x 1.047 0.401 0.000
y 0.401 -0.797 0.000
z 0.000 0.000 -0.250
Polar
3z2-r2-0.501
x2-y21.230
xy0.401
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.052 -0.669 0.000
y -0.669 10.871 0.000
z 0.000 0.000 9.462


<r2> (average value of r2) Å2
<r2> 191.041
(<r2>)1/2 13.822