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

using model chemistry: B3LYP/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 B3LYP/6-311G**
Rotational Constants (cm-1) from geometry optimized at B3LYP/6-311G**
See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-311G**
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (CS)

Jump to S1C1
Energy calculated at B3LYP/6-311G**
 hartrees
Energy at 0K-235.909894
Energy at 298.15K-235.923259
HF Energy-235.909894
Nuclear repulsion energy248.736914
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 B3LYP/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' 3086 2984 133.52      
2 A' 3075 2973 24.20      
3 A' 3071 2970 32.63      
4 A' 3044 2943 13.46      
5 A' 3031 2930 7.60      
6 A' 3027 2926 9.62      
7 A' 3012 2912 33.98      
8 A' 3011 2911 29.26      
9 A' 1503 1454 10.25      
10 A' 1499 1449 1.20      
11 A' 1494 1445 3.31      
12 A' 1413 1366 7.75      
13 A' 1410 1363 1.54      
14 A' 1381 1335 0.63      
15 A' 1362 1317 9.40      
16 A' 1276 1233 3.45      
17 A' 1249 1208 0.31      
18 A' 1196 1157 0.33      
19 A' 1124 1087 0.33      
20 A' 1043 1009 0.82      
21 A' 963 931 0.93      
22 A' 940 909 0.64      
23 A' 865 837 0.85      
24 A' 795 768 0.98      
25 A' 646 625 1.36      
26 A' 432 417 0.10      
27 A' 323 312 0.08      
28 A' 87 84 0.01      
29 A" 3078 2976 28.69      
30 A" 3075 2973 24.92      
31 A" 3073 2971 30.53      
32 A" 3028 2928 78.77      
33 A" 1499 1449 4.82      
34 A" 1498 1448 0.09      
35 A" 1476 1427 5.31      
36 A" 1291 1248 0.43      
37 A" 1273 1231 0.01      
38 A" 1227 1186 0.08      
39 A" 1142 1104 0.59      
40 A" 1127 1089 0.00      
41 A" 999 966 3.39      
42 A" 901 871 0.00      
43 A" 895 866 0.11      
44 A" 809 782 0.14      
45 A" 378 366 0.00      
46 A" 260 251 0.08      
47 A" 252 244 0.00      
48 A" 235 227 0.04      

Unscaled Zero Point Vibrational Energy (zpe) 36437.0 cm-1
Scaled (by 0.9668) Zero Point Vibrational Energy (zpe) 35227.3 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 B3LYP/6-311G**
ABC
0.26130 0.07627 0.06930

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-311G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.244 0.077 1.085
C2 0.244 0.077 -1.085
C3 -0.657 0.733 0.000
C4 0.837 -0.871 0.000
C5 -0.821 2.247 0.000
C6 0.244 -2.279 0.000
H7 0.990 0.781 1.467
H8 -0.253 -0.393 1.938
H9 0.990 0.781 -1.467
H10 -0.253 -0.393 -1.938
H11 -1.645 0.262 0.000
H12 1.928 -0.940 0.000
H13 0.153 2.746 0.000
H14 -0.850 -2.253 0.000
H15 -1.370 2.587 -0.884
H16 -1.370 2.587 0.884
H17 0.563 -2.839 -0.885
H18 0.563 -2.839 0.885

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.17101.55571.55832.65002.59431.09401.09362.75063.10042.18652.24692.88212.79363.57582.99123.53402.9407
C22.17101.55571.55832.65002.59432.75063.10041.09401.09362.18652.24692.88212.79362.99123.57582.94073.5340
C31.55571.55572.19171.52303.14402.20582.27772.20582.27771.09433.07922.16952.99192.17452.17453.87703.8770
C41.55831.55832.19173.53151.52792.21452.27472.21452.27472.72811.09333.68042.18074.19664.19662.17562.1756
C52.65002.65001.52303.53154.65002.75353.32412.75353.32412.14874.20951.09494.49991.09481.09485.34515.3451
C62.59432.59433.14401.52794.65003.47462.75013.47462.75013.16662.15105.02551.09475.20285.20281.09451.0945
H71.09402.75062.20582.21452.75353.47461.77372.93363.81043.05972.44862.59043.83943.78933.02854.33833.6918
H81.09363.10042.27772.27473.32412.75011.77373.81043.87682.47442.96903.71102.75194.25383.35253.82382.7859
H92.75061.09402.20582.21452.75353.47462.93363.81041.77373.05972.44862.59043.83943.02853.78933.69184.3383
H103.10041.09362.27772.27473.32412.75013.81043.87681.77372.47442.96903.71102.75193.35254.25382.78593.8238
H112.18652.18651.09432.72812.14873.16663.05972.47443.05972.47443.76973.06582.63752.50232.50233.90833.9083
H122.24692.24693.07921.09334.20952.15102.44862.96902.44862.96903.76974.09103.07244.90974.90972.50062.5006
H132.88212.88212.16953.68041.09495.02552.59043.71102.59043.71103.06584.09105.09791.76881.76885.66935.6693
H142.79362.79362.99192.18074.49991.09473.83942.75193.83942.75192.63753.07245.09794.94734.94731.76711.7671
H153.57582.99122.17454.19661.09485.20283.78934.25383.02853.35252.50234.90971.76884.94731.76825.76046.0259
H162.99123.57582.17454.19661.09485.20283.02853.35253.78934.25382.50234.90971.76884.94731.76826.02595.7604
H173.53402.94073.87702.17565.34511.09454.33833.82383.69182.78593.90832.50065.66931.76715.76046.02591.7695
H182.94073.53403.87702.17565.34511.09453.69182.78594.33833.82383.90832.50065.66931.76716.02595.76041.7695

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 88.489 C1 C3 C5 118.796
C1 C3 H11 109.973 C1 C4 C2 88.309
C1 C4 C6 114.410 C1 C4 H12 114.725
C2 C3 C5 118.796 C2 C3 H11 109.973
C2 C4 C6 114.410 C2 C4 H12 114.725
C3 C1 C4 89.467 C3 C1 H7 111.511
C3 C1 H8 117.506 C3 C2 C4 89.467
C3 C2 H9 111.511 C3 C2 H10 117.506
C3 C5 H13 110.873 C3 C5 H15 111.281
C3 C5 H16 111.281 C4 C1 H7 112.031
C4 C1 H8 117.055 C4 C2 H9 112.031
C4 C2 H10 117.055 C4 C6 H14 111.436
C4 C6 H17 111.040 C4 C6 H18 111.040
C5 C3 H11 109.268 C6 C4 H12 109.171
H7 C1 H8 108.346 H9 C2 H10 108.346
H13 C5 H15 107.762 H13 C5 H16 107.762
H14 C6 H17 107.642 H14 C6 H18 107.642
H15 C5 H16 107.717 H17 C6 H18 107.871
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.151      
2 C -0.151      
3 C -0.211      
4 C -0.213      
5 C -0.251      
6 C -0.259      
7 H 0.101      
8 H 0.104      
9 H 0.101      
10 H 0.104      
11 H 0.111      
12 H 0.106      
13 H 0.094      
14 H 0.095      
15 H 0.104      
16 H 0.104      
17 H 0.105      
18 H 0.105      


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 -39.949 0.308 0.000
y 0.308 -41.156 0.000
z 0.000 0.000 -40.865
Traceless
 xyz
x 1.061 0.308 0.000
y 0.308 -0.749 0.000
z 0.000 0.000 -0.312
Polar
3z2-r2-0.624
x2-y21.207
xy0.308
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.209 -0.655 0.000
y -0.655 11.214 0.000
z 0.000 0.000 9.675


<r2> (average value of r2) Å2
<r2> 193.893
(<r2>)1/2 13.925