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

using model chemistry: B3PW91/cc-pVTZ

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 B3PW91/cc-pVTZ
Rotational Constants (cm-1) from geometry optimized at B3PW91/cc-pVTZ
See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/cc-pVTZ
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (CS)

Jump to S1C1
Energy calculated at B3PW91/cc-pVTZ
 hartrees
Energy at 0K-235.844344
Energy at 298.15K-235.857712
HF Energy-235.844344
Nuclear repulsion energy250.036290
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 B3PW91/cc-pVTZ
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' 3100 2981 110.59      
2 A' 3091 2973 17.69      
3 A' 3088 2970 29.01      
4 A' 3056 2939 15.61      
5 A' 3044 2927 7.98      
6 A' 3040 2923 7.12      
7 A' 3022 2906 29.33      
8 A' 3021 2905 31.97      
9 A' 1495 1438 9.55      
10 A' 1489 1432 2.36      
11 A' 1485 1428 2.41      
12 A' 1406 1352 7.70      
13 A' 1403 1349 2.74      
14 A' 1379 1326 0.46      
15 A' 1360 1308 9.02      
16 A' 1275 1226 3.47      
17 A' 1251 1203 0.40      
18 A' 1198 1152 0.28      
19 A' 1139 1095 0.33      
20 A' 1051 1011 0.69      
21 A' 960 923 1.05      
22 A' 945 908 0.69      
23 A' 868 835 0.95      
24 A' 805 775 1.10      
25 A' 645 620 1.60      
26 A' 423 406 0.11      
27 A' 322 309 0.10      
28 A' 90 86 0.01      
29 A" 3094 2975 30.29      
30 A" 3091 2973 15.53      
31 A" 3090 2971 24.51      
32 A" 3040 2924 76.03      
33 A" 1491 1433 4.44      
34 A" 1488 1431 0.64      
35 A" 1464 1408 5.01      
36 A" 1288 1238 0.29      
37 A" 1272 1223 0.00      
38 A" 1226 1179 0.09      
39 A" 1142 1099 0.58      
40 A" 1129 1086 0.00      
41 A" 995 957 3.56      
42 A" 912 877 0.00      
43 A" 904 869 0.02      
44 A" 805 774 0.18      
45 A" 373 359 0.00      
46 A" 258 248 0.09      
47 A" 251 241 0.00      
48 A" 234 225 0.02      

Unscaled Zero Point Vibrational Energy (zpe) 36497.7 cm-1
Scaled (by 0.9616) Zero Point Vibrational Energy (zpe) 35096.2 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 B3PW91/cc-pVTZ
ABC
0.26186 0.07727 0.07043

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/cc-pVTZ

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 -0.658 0.716 0.000
C4 0.847 -0.858 0.000
C5 -0.859 2.215 0.000
C6 0.255 -2.256 0.000
H7 0.994 0.801 1.444
H8 -0.227 -0.384 1.938
H9 0.994 0.801 -1.444
H10 -0.227 -0.384 -1.938
H11 -1.630 0.217 0.000
H12 1.937 -0.925 0.000
H13 0.102 2.738 0.000
H14 -0.837 -2.228 0.000
H15 -1.415 2.543 -0.882
H16 -1.415 2.543 0.882
H17 0.570 -2.818 -0.883
H18 0.570 -2.818 0.883

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.15521.54681.54942.63442.57721.09251.09192.72343.08972.17612.23782.86732.77543.56002.97843.51712.9265
C22.15521.54681.54942.63442.57722.72343.08971.09251.09192.17612.23782.86732.77542.97843.56002.92653.5171
C31.54681.54682.17721.51293.10882.19572.26922.19572.26921.09313.06952.15992.94862.16612.16613.84373.8437
C41.54941.54942.17723.51481.51772.20482.26582.20482.26582.70071.09193.67232.17054.17894.17892.16712.1671
C52.63442.63441.51293.51484.60792.74183.30262.74183.30262.14174.20421.09354.44261.09321.09325.30605.3060
C62.57722.57723.10881.51774.60793.46112.73783.46112.73783.11052.14414.99611.09335.15775.15771.09291.0929
H71.09252.72342.19572.20482.74183.46111.77182.88783.78583.05232.44002.57503.82293.77473.02554.32363.6871
H81.09193.08972.26922.26583.30262.73781.77183.78583.87612.46722.95473.68852.74404.23443.33043.81062.7706
H92.72341.09252.19572.20482.74183.46112.88783.78581.77183.05232.44002.57503.82293.02553.77473.68714.3236
H103.08971.09192.26922.26583.30262.73783.78583.87611.77182.46722.95473.68852.74403.33044.23442.77063.8106
H112.17612.17611.09312.70072.14173.11053.05232.46723.05232.46723.74563.05832.57022.49702.49703.85193.8519
H122.23782.23783.06951.09194.20422.14412.44002.95472.44002.95473.74564.09673.06454.90314.90312.49572.4957
H132.86732.86732.15993.67231.09354.99612.57503.68852.57503.68853.05834.09675.05321.76521.76525.64495.6449
H142.77542.77542.94862.17054.44261.09333.82292.74403.82292.74402.57023.06455.05324.88584.88581.76361.7636
H153.56002.97842.16614.17891.09325.15773.77474.23443.02553.33042.49704.90311.76524.88581.76425.71705.9833
H162.97843.56002.16614.17891.09325.15773.02553.33043.77474.23442.49704.90311.76524.88581.76425.98335.7170
H173.51712.92653.84372.16715.30601.09294.32363.81063.68712.77063.85192.49575.64491.76365.71705.98331.7659
H182.92653.51713.84372.16715.30601.09293.68712.77064.32363.81063.85192.49575.64491.76365.98335.71701.7659

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 88.320 C1 C3 C5 118.854
C1 C3 H11 109.847 C1 C4 C2 88.135
C1 C4 C6 114.335 C1 C4 H12 114.721
C2 C3 C5 118.854 C2 C3 H11 109.847
C2 C4 C6 114.335 C2 C4 H12 114.721
C3 C1 C4 89.367 C3 C1 H7 111.437
C3 C1 H8 117.590 C3 C2 C4 89.367
C3 C2 H9 111.437 C3 C2 H10 117.590
C3 C5 H13 110.910 C3 C5 H15 111.420
C3 C5 H16 111.420 C4 C1 H7 111.983
C4 C1 H8 117.096 C4 C2 H9 111.983
C4 C2 H10 117.096 C4 C6 H14 111.424
C4 C6 H17 111.178 C4 C6 H18 111.178
C5 C3 H11 109.480 C6 C4 H12 109.413
H7 C1 H8 108.410 H9 C2 H10 108.410
H13 C5 H15 107.657 H13 C5 H16 107.657
H14 C6 H17 107.548 H14 C6 H18 107.548
H15 C5 H16 107.593 H17 C6 H18 107.778
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.153      
2 C -0.153      
3 C -0.061      
4 C -0.055      
5 C -0.279      
6 C -0.287      
7 H 0.075      
8 H 0.075      
9 H 0.075      
10 H 0.075      
11 H 0.083      
12 H 0.079      
13 H 0.082      
14 H 0.087      
15 H 0.089      
16 H 0.089      
17 H 0.090      
18 H 0.090      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.014 -0.011 0.000 0.018
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.424 0.333 0.000
y 0.333 -40.626 0.000
z 0.000 0.000 -40.332
Traceless
 xyz
x 1.055 0.333 0.000
y 0.333 -0.748 0.000
z 0.000 0.000 -0.308
Polar
3z2-r2-0.615
x2-y21.202
xy0.333
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.546 -0.716 0.000
y -0.716 11.658 0.000
z 0.000 0.000 10.006


<r2> (average value of r2) Å2
<r2> 191.460
(<r2>)1/2 13.837