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 ((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-235.609651
Energy at 298.15K-235.623055
HF Energy-235.609651
Nuclear repulsion energy250.180245
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' 3117 2991 114.06      
2 A' 3110 2984 16.53      
3 A' 3106 2980 27.79      
4 A' 3072 2947 18.79      
5 A' 3059 2935 10.52      
6 A' 3053 2929 5.34      
7 A' 3035 2912 30.48      
8 A' 3034 2911 28.38      
9 A' 1498 1437 10.96      
10 A' 1491 1430 3.32      
11 A' 1487 1426 2.70      
12 A' 1407 1350 9.85      
13 A' 1406 1349 5.14      
14 A' 1379 1323 0.29      
15 A' 1363 1308 8.01      
16 A' 1278 1226 4.44      
17 A' 1254 1203 0.54      
18 A' 1201 1152 0.25      
19 A' 1151 1104 0.22      
20 A' 1057 1014 0.25      
21 A' 961 922 1.12      
22 A' 951 913 0.87      
23 A' 873 838 1.27      
24 A' 816 783 1.37      
25 A' 649 623 1.82      
26 A' 425 408 0.13      
27 A' 326 313 0.11      
28 A' 97 93 0.01      
29 A" 3114 2987 36.43      
30 A" 3111 2985 26.45      
31 A" 3108 2982 9.83      
32 A" 3052 2928 71.62      
33 A" 1492 1432 5.83      
34 A" 1491 1430 0.28      
35 A" 1463 1404 6.77      
36 A" 1292 1239 0.24      
37 A" 1271 1220 0.00      
38 A" 1228 1178 0.08      
39 A" 1144 1098 0.61      
40 A" 1132 1086 0.07      
41 A" 996 956 4.20      
42 A" 922 884 0.00      
43 A" 912 875 0.00      
44 A" 806 773 0.25      
45 A" 374 359 0.01      
46 A" 261 250 0.12      
47 A" 253 243 0.00      
48 A" 234 225 0.05      

Unscaled Zero Point Vibrational Energy (zpe) 36657.3 cm-1
Scaled (by 0.9594) Zero Point Vibrational Energy (zpe) 35169.0 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 PBE1PBE/6-311G**
ABC
0.26002 0.07761 0.07090

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 -0.660 0.710 0.000
C4 0.850 -0.854 0.000
C5 -0.861 2.211 0.000
C6 0.256 -2.252 0.000
H7 0.993 0.807 1.445
H8 -0.227 -0.388 1.938
H9 0.993 0.807 -1.445
H10 -0.227 -0.388 -1.938
H11 -1.634 0.210 0.000
H12 1.942 -0.922 0.000
H13 0.103 2.732 0.000
H14 -0.839 -2.219 0.000
H15 -1.418 2.536 -0.885
H16 -1.418 2.536 0.885
H17 0.573 -2.813 -0.886
H18 0.573 -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
C12.15581.54611.54852.63212.57441.09471.09422.72573.09092.17942.24002.86142.76943.55822.97423.51502.9217
C22.15581.54611.54852.63212.57442.72573.09091.09471.09422.17942.24002.86142.76942.97423.55822.92173.5150
C31.54611.54612.17401.51463.10082.19762.26902.19762.26901.09513.07072.16052.93422.16632.16633.83573.8357
C41.54851.54852.17403.51071.51882.20662.26582.20662.26582.70241.09403.66302.17074.17414.17412.16702.1670
C52.63212.63211.51463.51074.60132.73833.30332.73833.30332.14514.20351.09534.43001.09501.09505.29895.2989
C62.57442.57443.10081.51884.60133.46272.73263.46272.73263.10442.14754.98641.09535.14955.14951.09471.0947
H71.09472.72572.19762.20662.73833.46271.77712.89053.78983.05712.44462.56643.82063.77273.01964.32553.6865
H81.09423.09092.26902.26583.30332.73261.77713.78983.87622.46842.95723.68712.73554.23523.32823.80712.7619
H92.72571.09472.19762.20662.73833.46272.89053.78981.77713.05712.44462.56643.82063.01963.77273.68654.3255
H103.09091.09422.26902.26583.30332.73263.78983.87621.77712.46842.95723.68712.73553.32824.23522.76193.8071
H112.17942.17941.09512.70242.14513.10443.05712.46843.05712.46843.75063.06172.55582.49802.49803.84603.8460
H122.24002.24003.07071.09404.20352.14752.44462.95722.44462.95723.75064.09003.06804.90184.90182.49692.4969
H132.86142.86142.16053.66301.09534.98642.56643.68712.56643.68713.06174.09005.03901.77031.77035.63425.6342
H142.76942.76942.93422.17074.43001.09533.82062.73553.82062.73552.55583.06805.03904.87124.87121.76891.7689
H153.55822.97422.16634.17411.09505.14953.77274.23523.01963.32822.49804.90181.77034.87121.76975.70735.9757
H162.97423.55822.16634.17411.09505.14953.01963.32823.77274.23522.49804.90181.77034.87121.76975.97575.7073
H173.51502.92173.83572.16705.29891.09474.32553.80713.68652.76193.84602.49695.63421.76895.70735.97571.7713
H182.92173.51503.83572.16705.29891.09473.68652.76194.32553.80713.84602.49695.63421.76895.97575.70731.7713

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 88.400 C1 C3 C5 118.628
C1 C3 H11 110.032 C1 C4 C2 88.227
C1 C4 C6 114.133 C1 C4 H12 114.835
C2 C3 C5 118.628 C2 C3 H11 110.032
C2 C4 C6 114.133 C2 C4 H12 114.835
C3 C1 C4 89.256 C3 C1 H7 111.500
C3 C1 H8 117.469 C3 C2 C4 89.256
C3 C2 H9 111.500 C3 C2 H10 117.469
C3 C5 H13 110.730 C3 C5 H15 111.215
C3 C5 H16 111.215 C4 C1 H7 112.050
C4 C1 H8 117.006 C4 C2 H9 112.050
C4 C2 H10 117.006 C4 C6 H14 111.242
C4 C6 H17 110.982 C4 C6 H18 110.982
C5 C3 H11 109.519 C6 C4 H12 109.484
H7 C1 H8 108.561 H9 C2 H10 108.561
H13 C5 H15 107.853 H13 C5 H16 107.853
H14 C6 H17 107.740 H14 C6 H18 107.740
H15 C5 H16 107.825 H17 C6 H18 108.004
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 -0.171      
2 C -0.171      
3 C -0.267      
4 C -0.268      
5 C -0.287      
6 C -0.296      
7 H 0.122      
8 H 0.122      
9 H 0.122      
10 H 0.122      
11 H 0.133      
12 H 0.124      
13 H 0.111      
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 -39.568 0.341 0.000
y 0.341 -40.610 0.000
z 0.000 0.000 -40.411
Traceless
 xyz
x 0.942 0.341 0.000
y 0.341 -0.621 0.000
z 0.000 0.000 -0.322
Polar
3z2-r2-0.643
x2-y21.042
xy0.341
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.182 -0.686 0.000
y -0.686 11.058 0.000
z 0.000 0.000 9.580


<r2> (average value of r2) Å2
<r2> 190.875
(<r2>)1/2 13.816