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

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

Conformer 2 (CS)

Jump to S1C1
Energy calculated at PBEPBE/cc-pVTZ
 hartrees
Energy at 0K-235.582732
Energy at 298.15K-235.595917
HF Energy-235.582732
Nuclear repulsion energy248.756006
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/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' 3027 3006 110.30      
2 A' 3020 2999 14.82      
3 A' 3016 2996 28.63      
4 A' 2982 2962 16.75      
5 A' 2971 2950 8.11      
6 A' 2966 2945 8.63      
7 A' 2952 2932 25.93      
8 A' 2952 2931 34.91      
9 A' 1449 1439 10.14      
10 A' 1444 1434 3.05      
11 A' 1437 1427 1.01      
12 A' 1358 1349 7.40      
13 A' 1355 1345 2.18      
14 A' 1333 1324 0.35      
15 A' 1312 1303 10.30      
16 A' 1228 1220 4.19      
17 A' 1212 1203 0.36      
18 A' 1161 1153 0.25      
19 A' 1108 1100 0.36      
20 A' 1021 1014 0.95      
21 A' 931 925 1.13      
22 A' 916 910 0.70      
23 A' 843 838 0.91      
24 A' 784 778 0.97      
25 A' 626 622 1.71      
26 A' 411 409 0.10      
27 A' 314 312 0.11      
28 A' 86 86 0.01      
29 A" 3023 3002 34.68      
30 A" 3020 2999 17.19      
31 A" 3018 2998 16.93      
32 A" 2968 2947 77.63      
33 A" 1445 1435 4.28      
34 A" 1443 1433 0.93      
35 A" 1416 1406 4.33      
36 A" 1241 1233 0.33      
37 A" 1227 1218 0.00      
38 A" 1179 1171 0.07      
39 A" 1105 1097 0.43      
40 A" 1092 1085 0.00      
41 A" 963 956 3.39      
42 A" 885 879 0.00      
43 A" 876 870 0.01      
44 A" 780 775 0.20      
45 A" 364 361 0.00      
46 A" 252 250 0.08      
47 A" 245 243 0.02      
48 A" 229 228 0.02      

Unscaled Zero Point Vibrational Energy (zpe) 35492.7 cm-1
Scaled (by 0.9931) Zero Point Vibrational Energy (zpe) 35247.8 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/cc-pVTZ
ABC
0.25893 0.07659 0.06981

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.252 0.082 1.084
C2 0.252 0.082 -1.084
C3 -0.660 0.723 0.000
C4 0.846 -0.865 0.000
C5 -0.847 2.233 0.000
C6 0.252 -2.271 0.000
H7 0.996 0.800 1.459
H8 -0.239 -0.391 1.946
H9 0.996 0.800 -1.459
H10 -0.239 -0.391 -1.946
H11 -1.645 0.234 0.000
H12 1.943 -0.935 0.000
H13 0.126 2.747 0.000
H14 -0.847 -2.241 0.000
H15 -1.403 2.567 -0.888
H16 -1.403 2.567 0.888
H17 0.570 -2.835 -0.889
H18 0.570 -2.835 0.889

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.16801.55481.55752.64752.59131.09941.09902.74493.10552.19012.25112.87902.78943.57822.99203.53602.9408
C22.16801.55481.55752.64752.59132.74493.10551.09941.09902.19012.25112.87902.78942.99203.57822.94083.5360
C31.55481.55482.18881.52163.13032.20842.28122.20842.28121.09983.08572.17052.96992.17752.17753.86813.8681
C41.55751.55752.18883.53081.52622.21872.27782.21872.27782.72261.09883.68282.18164.19874.19872.17822.1782
C52.64752.64751.52163.53084.63662.75343.32282.75343.32282.15254.22101.10014.47391.09991.09995.33695.3369
C62.59132.59133.13031.52624.63663.48022.75013.48022.75013.14252.15505.01931.10005.19035.19031.09961.0996
H71.09942.74492.20842.21872.75343.48021.78342.91783.81243.06982.45592.58393.84333.79353.03434.34763.7031
H81.09903.10552.28122.27783.32282.75011.78343.81243.89142.48032.97353.70982.75274.25873.35013.82932.7827
H92.74491.09942.20842.21872.75343.48022.91783.81241.78343.06982.45592.58393.84333.03433.79353.70314.3476
H103.10551.09902.28122.27783.32282.75013.81243.89141.78342.48032.97353.70982.75273.35014.25872.78273.8293
H112.19012.19011.09982.72262.15253.14253.06982.48033.06982.48033.77303.07382.60012.50812.50813.88783.8878
H122.25112.25113.08571.09884.22102.15502.45592.97352.45592.97353.77304.10503.08064.92404.92402.50662.5066
H132.87902.87902.17053.68281.10015.01932.58393.70982.58393.70983.07384.10505.08131.77751.77755.66895.6689
H142.78942.78942.96992.18164.47391.10003.84332.75273.84332.75272.60013.08065.08134.92074.92071.77591.7759
H153.57822.99202.17754.19871.09995.19033.79354.25873.03433.35012.50814.92401.77754.92071.77655.75106.0194
H162.99203.57822.17754.19871.09995.19033.03433.35013.79354.25872.50814.92401.77754.92071.77656.01945.7510
H173.53602.94083.86812.17825.33691.09964.34763.82933.70312.78273.88782.50665.66891.77595.75106.01941.7782
H182.94083.53603.86812.17825.33691.09963.70312.78274.34763.82933.88782.50665.66891.77596.01945.75101.7782

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 88.408 C1 C3 C5 118.762
C1 C3 H11 109.998 C1 C4 C2 88.211
C1 C4 C6 114.339 C1 C4 H12 114.771
C2 C3 C5 118.762 C2 C3 H11 109.998
C2 C4 C6 114.339 C2 C4 H12 114.771
C3 C1 C4 89.380 C3 C1 H7 111.463
C3 C1 H8 117.515 C3 C2 C4 89.380
C3 C2 H9 111.463 C3 C2 H10 117.515
C3 C5 H13 110.749 C3 C5 H15 111.314
C3 C5 H16 111.314 C4 C1 H7 112.091
C4 C1 H8 117.008 C4 C2 H9 112.091
C4 C2 H10 117.008 C4 C6 H14 111.308
C4 C6 H17 111.056 C4 C6 H18 111.056
C5 C3 H11 109.345 C6 C4 H12 109.277
H7 C1 H8 108.430 H9 C2 H10 108.430
H13 C5 H15 107.792 H13 C5 H16 107.792
H14 C6 H17 107.674 H14 C6 H18 107.674
H15 C5 H16 107.719 H17 C6 H18 107.909
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.131      
2 C -0.131      
3 C -0.031      
4 C -0.039      
5 C -0.291      
6 C -0.289      
7 H 0.061      
8 H 0.064      
9 H 0.061      
10 H 0.064      
11 H 0.065      
12 H 0.066      
13 H 0.084      
14 H 0.086      
15 H 0.091      
16 H 0.091      
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
  -0.020 -0.011 0.000 0.023
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.976 0.297 0.000
y 0.297 -41.145 0.000
z 0.000 0.000 -40.906
Traceless
 xyz
x 1.050 0.297 0.000
y 0.297 -0.704 0.000
z 0.000 0.000 -0.345
Polar
3z2-r2-0.691
x2-y21.169
xy0.297
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.931 -0.761 0.000
y -0.761 12.225 0.000
z 0.000 0.000 10.419


<r2> (average value of r2) Å2
<r2> 193.372
(<r2>)1/2 13.906