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: BLYP/6-31G**

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 BLYP/6-31G**
Rotational Constants (cm-1) from geometry optimized at BLYP/6-31G**
See section I.F.4 to change rotational constant units
Geometric Data calculated at BLYP/6-31G**
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (CS)

Jump to S1C1
Energy calculated at BLYP/6-31G**
 hartrees
Energy at 0K-235.697171
Energy at 298.15K-235.710332
HF Energy-235.697171
Nuclear repulsion energy246.686789
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 BLYP/6-31G**
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' 3025 3002 136.28      
2 A' 3019 2996 16.98      
3 A' 3014 2991 25.86      
4 A' 2978 2955 14.42      
5 A' 2966 2943 9.97      
6 A' 2961 2938 21.33      
7 A' 2954 2931 37.73      
8 A' 2952 2930 24.54      
9 A' 1479 1467 7.00      
10 A' 1475 1464 0.57      
11 A' 1469 1458 0.96      
12 A' 1388 1377 1.78      
13 A' 1384 1374 0.48      
14 A' 1345 1335 0.42      
15 A' 1326 1316 16.10      
16 A' 1245 1235 0.83      
17 A' 1220 1211 0.19      
18 A' 1168 1159 0.37      
19 A' 1088 1080 0.50      
20 A' 1015 1007 1.72      
21 A' 939 932 1.08      
22 A' 914 907 0.59      
23 A' 840 833 0.79      
24 A' 769 763 0.57      
25 A' 625 621 1.51      
26 A' 419 416 0.13      
27 A' 314 311 0.09      
28 A' 84 83 0.01      
29 A" 3021 2997 41.53      
30 A" 3017 2994 25.34      
31 A" 3015 2992 14.11      
32 A" 2966 2943 78.82      
33 A" 1477 1465 2.34      
34 A" 1475 1464 0.07      
35 A" 1450 1439 0.66      
36 A" 1260 1250 1.60      
37 A" 1239 1230 0.06      
38 A" 1197 1188 0.18      
39 A" 1115 1107 0.53      
40 A" 1098 1090 0.01      
41 A" 974 967 2.51      
42 A" 871 864 0.00      
43 A" 868 862 0.02      
44 A" 789 783 0.25      
45 A" 367 364 0.01      
46 A" 252 250 0.11      
47 A" 249 247 0.00      
48 A" 233 232 0.05      

Unscaled Zero Point Vibrational Energy (zpe) 35654.9 cm-1
Scaled (by 0.9923) Zero Point Vibrational Energy (zpe) 35380.3 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 BLYP/6-31G**
ABC
0.25715 0.07498 0.06812

See section I.F.4 to change rotational constant units
Geometric Data calculated at BLYP/6-31G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.243 0.077 1.095
C2 0.243 0.077 -1.095
C3 -0.661 0.744 0.000
C4 0.837 -0.881 0.000
C5 -0.815 2.269 0.000
C6 0.243 -2.300 0.000
H7 0.998 0.780 1.485
H8 -0.264 -0.396 1.952
H9 0.998 0.780 -1.485
H10 -0.264 -0.396 -1.952
H11 -1.660 0.275 0.000
H12 1.938 -0.950 0.000
H13 0.170 2.767 0.000
H14 -0.860 -2.277 0.000
H15 -1.365 2.619 -0.890
H16 -1.365 2.619 0.890
H17 0.563 -2.866 -0.891
H18 0.563 -2.866 0.891

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.18961.56871.57152.66922.61661.10291.10262.77843.12482.20472.26392.90502.82043.60413.01513.56462.9672
C22.18961.56871.57152.66922.61662.77843.12481.10291.10262.20472.26392.90502.82043.01513.60412.96723.5646
C31.56871.56872.21041.53283.17532.22662.29522.22662.29521.10393.10212.18653.02742.19172.19173.91473.9147
C41.57151.57152.21043.55741.53782.23402.29332.23402.29332.75231.10313.70852.19714.23024.23022.19282.1928
C52.66922.66921.53283.55744.68982.77663.34922.77663.34922.16544.23551.10364.54611.10351.10355.39105.3910
C62.61662.61663.17531.53784.68983.50132.77363.50132.77363.20242.16705.06691.10335.25105.25101.10321.1032
H71.10292.77842.22662.23402.77663.50131.78702.97003.84563.08632.46592.61493.87303.82213.05294.37363.7195
H81.10263.12482.29522.29333.34922.77361.78703.84563.90422.49222.99453.74182.77554.28733.38083.85612.8127
H92.77841.10292.22662.23402.77663.50132.97003.84561.78703.08632.46592.61493.87303.05293.82213.71954.3736
H103.12481.10262.29522.29333.34922.77363.84563.90421.78702.49222.99453.74182.77553.38084.28732.81273.8561
H112.20472.20471.10392.75232.16543.20243.08632.49223.08632.49223.80123.09122.67482.52402.52403.95053.9505
H122.26392.26393.10211.10314.23552.16702.46592.99452.46592.99453.80124.11533.09694.94364.94362.52152.5215
H132.90502.90502.18653.70851.10365.06692.61493.74182.61493.74183.09124.11535.14751.78101.78105.71625.7162
H142.82042.82043.02742.19714.54611.10333.87302.77553.87302.77552.67483.09695.14755.00155.00151.77931.7793
H153.60413.01512.19174.23021.10355.25103.82214.28733.05293.38082.52404.94361.78105.00151.78045.81406.0807
H163.01513.60412.19174.23021.10355.25103.05293.38083.82214.28732.52404.94361.78105.00151.78046.08075.8140
H173.56462.96723.91472.19285.39101.10324.37363.85613.71952.81273.95052.52155.71621.77935.81406.08071.7822
H182.96723.56463.91472.19285.39101.10323.71952.81274.37363.85613.95052.52155.71621.77936.08075.81401.7822

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 88.516 C1 C3 C5 118.764
C1 C3 H11 109.945 C1 C4 C2 88.321
C1 C4 C6 114.606 C1 C4 H12 114.519
C2 C3 C5 118.764 C2 C3 H11 109.945
C2 C4 C6 114.606 C2 C4 H12 114.519
C3 C1 C4 89.483 C3 C1 H7 111.719
C3 C1 H8 117.386 C3 C2 C4 89.483
C3 C2 H9 111.719 C3 C2 H10 117.386
C3 C5 H13 111.020 C3 C5 H15 111.438
C3 C5 H16 111.438 C4 C1 H7 112.118
C4 C1 H8 117.010 C4 C2 H9 112.118
C4 C2 H10 117.010 C4 C6 H14 111.528
C4 C6 H17 111.191 C4 C6 H18 111.191
C5 C3 H11 109.345 C6 C4 H12 109.177
H7 C1 H8 108.243 H9 C2 H10 108.243
H13 C5 H15 107.599 H13 C5 H16 107.599
H14 C6 H17 107.491 H14 C6 H18 107.491
H15 C5 H16 107.553 H17 C6 H18 107.754
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.151      
2 C -0.151      
3 C -0.020      
4 C -0.039      
5 C -0.288      
6 C -0.282      
7 H 0.071      
8 H 0.070      
9 H 0.071      
10 H 0.070      
11 H 0.066      
12 H 0.060      
13 H 0.084      
14 H 0.087      
15 H 0.088      
16 H 0.088      
17 H 0.087      
18 H 0.087      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.028 0.001 0.000 0.028
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.502 0.261 0.000
y 0.261 -40.333 0.000
z 0.000 0.000 -40.199
Traceless
 xyz
x 0.764 0.261 0.000
y 0.261 -0.482 0.000
z 0.000 0.000 -0.282
Polar
3z2-r2-0.564
x2-y20.831
xy0.261
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.778 -0.601 0.000
y -0.601 10.645 0.000
z 0.000 0.000 9.143


<r2> (average value of r2) Å2
<r2> 196.399
(<r2>)1/2 14.014