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

using model chemistry: PBE1PBE/aug-cc-pVDZ

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/aug-cc-pVDZ
Rotational Constants (cm-1) from geometry optimized at PBE1PBE/aug-cc-pVDZ
See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/aug-cc-pVDZ
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (CS)

Jump to S1C1
Energy calculated at PBE1PBE/aug-cc-pVDZ
 hartrees
Energy at 0K-235.575938
Energy at 298.15K-235.589344
HF Energy-235.575938
Nuclear repulsion energy249.772698
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/aug-cc-pVDZ
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' 3127 3007 108.91      
2 A' 3120 3000 22.53      
3 A' 3116 2996 23.70      
4 A' 3080 2962 19.14      
5 A' 3069 2951 11.13      
6 A' 3060 2943 5.21      
7 A' 3038 2921 31.37      
8 A' 3036 2919 30.95      
9 A' 1483 1426 5.49      
10 A' 1471 1415 2.79      
11 A' 1468 1412 6.77      
12 A' 1396 1343 2.37      
13 A' 1393 1340 12.37      
14 A' 1367 1315 0.23      
15 A' 1355 1303 7.51      
16 A' 1268 1220 3.17      
17 A' 1246 1198 0.58      
18 A' 1197 1151 0.13      
19 A' 1154 1110 0.26      
20 A' 1056 1015 0.37      
21 A' 955 918 0.96      
22 A' 948 911 0.62      
23 A' 872 839 1.00      
24 A' 816 784 1.07      
25 A' 650 625 1.70      
26 A' 430 413 0.07      
27 A' 328 315 0.11      
28 A' 97 94 0.01      
29 A" 3124 3004 35.33      
30 A" 3121 3001 16.44      
31 A" 3119 2999 17.26      
32 A" 3058 2941 79.70      
33 A" 1470 1414 3.87      
34 A" 1468 1411 0.20      
35 A" 1452 1396 7.39      
36 A" 1283 1234 0.22      
37 A" 1260 1211 0.00      
38 A" 1219 1172 0.06      
39 A" 1139 1095 0.37      
40 A" 1125 1082 0.06      
41 A" 987 949 3.12      
42 A" 923 887 0.00      
43 A" 911 876 0.01      
44 A" 802 771 0.14      
45 A" 374 360 0.00      
46 A" 261 251 0.07      
47 A" 253 244 0.00      
48 A" 232 223 0.02      

Unscaled Zero Point Vibrational Energy (zpe) 36588.1 cm-1
Scaled (by 0.9616) Zero Point Vibrational Energy (zpe) 35183.1 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/aug-cc-pVDZ
ABC
0.25981 0.07741 0.07066

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/aug-cc-pVDZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.253 0.084 1.079
C2 0.253 0.084 -1.079
C3 -0.659 0.714 0.000
C4 0.846 -0.857 0.000
C5 -0.851 2.217 0.000
C6 0.253 -2.256 0.000
H7 0.995 0.805 1.451
H8 -0.236 -0.391 1.941
H9 0.995 0.805 -1.451
H10 -0.236 -0.391 -1.941
H11 -1.640 0.219 0.000
H12 1.943 -0.925 0.000
H13 0.120 2.733 0.000
H14 -0.846 -2.222 0.000
H15 -1.409 2.546 -0.889
H16 -1.409 2.546 0.889
H17 0.572 -2.818 -0.890
H18 0.572 -2.818 0.890

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.15861.54731.54992.63382.57701.09921.09922.73323.09662.18392.24452.86392.77313.56372.97693.52142.9255
C22.15861.54731.54992.63382.57702.73323.09661.09921.09922.18392.24452.86392.77312.97693.56372.92553.5214
C31.54731.54732.17611.51523.10762.20152.27382.20152.27381.09963.07522.16392.94232.16982.16983.84523.8452
C41.54991.54992.17613.51221.51952.21142.27092.21142.27092.70981.09883.66322.17414.17854.17852.17072.1707
C52.63382.63381.51523.51224.60802.73983.30952.73983.30952.14834.20511.10014.43921.09991.09995.30795.3079
C62.57702.57703.10761.51954.60803.46802.73603.46802.73603.11682.15114.99131.10005.15905.15901.09961.0996
H71.09922.73322.20152.21142.73983.46801.78532.90123.80153.06472.44892.56643.82843.77943.02074.33423.6907
H81.09923.09662.27382.27093.30952.73601.78533.80153.88262.47272.96673.69582.73714.24443.33333.81542.7654
H92.73321.09922.20152.21142.73983.46802.90123.80151.78533.06472.44892.56643.82843.02073.77943.69074.3342
H103.09661.09922.27382.27093.30952.73603.80153.88261.78532.47272.96673.69582.73713.33334.24442.76543.8154
H112.18392.18391.09962.70982.14833.11683.06472.47273.06472.47273.76173.06932.56712.50152.50153.86173.8617
H122.24452.24453.07521.09884.20512.15112.44892.96672.44892.96673.76174.08733.07594.90674.90672.50092.5009
H132.86392.86392.16393.66321.10014.99132.56643.69582.56643.69583.06934.08735.04851.77901.77905.64035.6403
H142.77312.77312.94232.17414.43921.10003.82842.73713.82842.73712.56713.07595.04854.88254.88251.77741.7774
H153.56372.97692.16984.17851.09995.15903.77944.24443.02073.33332.50154.90671.77904.88251.77825.71825.9886
H162.97693.56372.16984.17851.09995.15903.02073.33333.77944.24442.50154.90671.77904.88251.77825.98865.7182
H173.52142.92553.84522.17075.30791.09964.33423.81543.69072.76543.86172.50095.64031.77745.71825.98861.7798
H182.92553.52143.84522.17075.30791.09963.69072.76544.33423.81543.86172.50095.64031.77745.98865.71821.7798

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 88.455 C1 C3 C5 118.631
C1 C3 H11 110.040 C1 C4 C2 88.270
C1 C4 C6 114.187 C1 C4 H12 114.795
C2 C3 C5 118.631 C2 C3 H11 110.040
C2 C4 C6 114.187 C2 C4 H12 114.795
C3 C1 C4 89.271 C3 C1 H7 111.455
C3 C1 H8 117.443 C3 C2 C4 89.271
C3 C2 H9 111.455 C3 C2 H10 117.443
C3 C5 H13 110.664 C3 C5 H15 111.149
C3 C5 H16 111.149 C4 C1 H7 112.061
C4 C1 H8 116.995 C4 C2 H9 112.061
C4 C2 H10 116.995 C4 C6 H14 111.180
C4 C6 H17 110.930 C4 C6 H18 110.930
C5 C3 H11 109.465 C6 C4 H12 109.434
H7 C1 H8 108.608 H9 C2 H10 108.608
H13 C5 H15 107.931 H13 C5 H16 107.931
H14 C6 H17 107.807 H14 C6 H18 107.807
H15 C5 H16 107.878 H17 C6 H18 108.045
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 1.260      
2 C 1.260      
3 C -0.129      
4 C -0.018      
5 C 0.420      
6 C 0.459      
7 H -0.377      
8 H -0.414      
9 H -0.377      
10 H -0.414      
11 H -0.529      
12 H -0.564      
13 H -0.127      
14 H -0.125      
15 H -0.055      
16 H -0.055      
17 H -0.108      
18 H -0.108      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.017 -0.016 0.000 0.023
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.722 0.335 0.000
y 0.335 -41.028 0.000
z 0.000 0.000 -40.710
Traceless
 xyz
x 1.147 0.335 0.000
y 0.335 -0.812 0.000
z 0.000 0.000 -0.335
Polar
3z2-r2-0.670
x2-y21.306
xy0.335
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.987 -0.755 0.000
y -0.755 12.181 0.000
z 0.000 0.000 10.531


<r2> (average value of r2) Å2
<r2> 191.568
(<r2>)1/2 13.841