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

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

Conformer 2 (CS)

Jump to S1C1
Energy calculated at PBEPBE/6-311G*
 hartrees
Energy at 0K-235.547219
Energy at 298.15K-235.560420
HF Energy-235.547219
Nuclear repulsion energy248.316035
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 PBEPBE/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' 3029 2997 140.01      
2 A' 3022 2991 15.48      
3 A' 3018 2986 34.10      
4 A' 2983 2952 17.92      
5 A' 2969 2939 9.67      
6 A' 2966 2935 11.26      
7 A' 2953 2923 42.87      
8 A' 2953 2922 25.33      
9 A' 1470 1455 13.87      
10 A' 1465 1450 3.61      
11 A' 1455 1440 0.81      
12 A' 1374 1359 10.58      
13 A' 1370 1356 2.14      
14 A' 1343 1329 0.46      
15 A' 1322 1309 9.59      
16 A' 1235 1222 4.77      
17 A' 1221 1208 0.41      
18 A' 1167 1155 0.21      
19 A' 1113 1102 0.26      
20 A' 1026 1015 0.50      
21 A' 939 929 1.13      
22 A' 921 911 0.88      
23 A' 849 840 1.15      
24 A' 788 779 1.18      
25 A' 629 623 1.77      
26 A' 417 412 0.11      
27 A' 316 313 0.12      
28 A' 88 87 0.01      
29 A" 3026 2994 42.13      
30 A" 3023 2992 31.29      
31 A" 3019 2987 10.14      
32 A" 2966 2935 87.33      
33 A" 1467 1452 5.87      
34 A" 1465 1450 1.12      
35 A" 1434 1419 5.90      
36 A" 1250 1237 0.29      
37 A" 1231 1218 0.00      
38 A" 1186 1174 0.06      
39 A" 1112 1100 0.57      
40 A" 1099 1088 0.01      
41 A" 973 962 4.07      
42 A" 890 881 0.00      
43 A" 882 873 0.01      
44 A" 786 778 0.28      
45 A" 366 363 0.01      
46 A" 254 251 0.10      
47 A" 251 248 0.01      
48 A" 232 229 0.06      

Unscaled Zero Point Vibrational Energy (zpe) 35654.9 cm-1
Scaled (by 0.9896) Zero Point Vibrational Energy (zpe) 35284.0 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 PBEPBE/6-311G*
ABC
0.25821 0.07633 0.06955

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.252 0.082 1.086
C2 0.252 0.082 -1.086
C3 -0.661 0.725 0.000
C4 0.847 -0.867 0.000
C5 -0.847 2.238 0.000
C6 0.252 -2.275 0.000
H7 0.999 0.799 1.464
H8 -0.241 -0.392 1.950
H9 0.999 0.799 -1.464
H10 -0.241 -0.392 -1.950
H11 -1.649 0.235 0.000
H12 1.947 -0.936 0.000
H13 0.127 2.754 0.000
H14 -0.850 -2.247 0.000
H15 -1.403 2.574 -0.890
H16 -1.403 2.574 0.890
H17 0.570 -2.840 -0.890
H18 0.570 -2.840 0.890

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.17171.55731.55992.65192.59481.10211.10172.75203.11152.19432.25562.88672.79633.58502.99813.54212.9463
C22.17171.55731.55992.65192.59482.75203.11151.10211.10172.19432.25562.88672.79632.99813.58502.94633.5421
C31.55731.55732.19241.52403.13542.21402.28542.21402.28541.10293.09142.17652.97842.18222.18223.87553.8755
C41.55991.55992.19243.53621.52862.22282.28292.22282.28292.72821.10193.69132.18784.20654.20652.18292.1829
C52.65192.65191.52403.53624.64402.76003.32862.76003.32862.15714.22771.10224.48501.10201.10205.34665.3466
C62.59482.59483.13541.52864.64403.48542.75503.48542.75503.14822.16005.03001.10235.20015.20011.10181.1018
H71.10212.75202.21402.22282.76003.48541.78632.92823.82213.07722.46012.59313.85243.80263.04144.35563.7092
H81.10173.11152.28542.28293.32862.75501.78633.82213.89912.48472.98093.71892.75954.26683.35693.83662.7889
H92.75201.10212.21402.22282.76003.48542.92823.82211.78633.07722.46012.59313.85243.04143.80263.70924.3556
H103.11151.10172.28542.28293.32862.75503.82213.89911.78632.48472.98093.71892.75953.35694.26682.78893.8366
H112.19432.19431.10292.72822.15713.14823.07722.48473.07722.48473.78143.08192.60782.51442.51443.89553.8955
H122.25562.25563.09141.10194.22772.16002.46012.98092.46012.98093.78144.11383.08924.93294.93292.51312.5131
H132.88672.88672.17653.69131.10225.03002.59313.71892.59313.71893.08194.11385.09581.77951.77955.68205.6820
H142.79632.79632.97842.18784.48501.10233.85242.75953.85242.75952.60783.08925.09584.93394.93391.77801.7780
H153.58502.99812.18224.20651.10205.20013.80264.26683.04143.35692.51444.93291.77954.93391.77905.76306.0315
H162.99813.58502.18224.20651.10205.20013.04143.35693.80264.26682.51444.93291.77954.93391.77906.03155.7630
H173.54212.94633.87552.18295.34661.10184.35563.83663.70922.78893.89552.51315.68201.77805.76306.03151.7804
H182.94633.54213.87552.18295.34661.10183.70922.78894.35563.83663.89552.51315.68201.77806.03155.76301.7804

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 88.416 C1 C3 C5 118.769
C1 C3 H11 109.976 C1 C4 C2 88.230
C1 C4 C6 114.305 C1 C4 H12 114.767
C2 C3 C5 118.769 C2 C3 H11 109.976
C2 C4 C6 114.305 C2 C4 H12 114.767
C3 C1 C4 89.387 C3 C1 H7 111.574
C3 C1 H8 117.493 C3 C2 C4 89.387
C3 C2 H9 111.574 C3 C2 H10 117.493
C3 C5 H13 110.918 C3 C5 H15 111.388
C3 C5 H16 111.388 C4 C1 H7 112.091
C4 C1 H8 117.075 C4 C2 H9 112.091
C4 C2 H10 117.075 C4 C6 H14 111.497
C4 C6 H17 111.133 C4 C6 H18 111.133
C5 C3 H11 109.360 C6 C4 H12 109.321
H7 C1 H8 108.303 H9 C2 H10 108.303
H13 C5 H15 107.662 H13 C5 H16 107.662
H14 C6 H17 107.549 H14 C6 H18 107.549
H15 C5 H16 107.640 H17 C6 H18 107.796
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.387      
2 C -0.387      
3 C -0.224      
4 C -0.239      
5 C -0.626      
6 C -0.633      
7 H 0.207      
8 H 0.206      
9 H 0.207      
10 H 0.206      
11 H 0.202      
12 H 0.198      
13 H 0.203      
14 H 0.210      
15 H 0.214      
16 H 0.214      
17 H 0.215      
18 H 0.215      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.018 -0.003 0.000 0.019
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.971 0.369 0.000
y 0.369 -41.208 0.000
z 0.000 0.000 -40.877
Traceless
 xyz
x 1.072 0.369 0.000
y 0.369 -0.784 0.000
z 0.000 0.000 -0.288
Polar
3z2-r2-0.575
x2-y21.237
xy0.369
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.384 -0.702 0.000
y -0.702 11.440 0.000
z 0.000 0.000 9.841


<r2> (average value of r2) Å2
<r2> 193.992
(<r2>)1/2 13.928