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

using model chemistry: PBEPBEultrafine/6-31G*

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 PBEPBEultrafine/6-31G*
Rotational Constants (cm-1) from geometry optimized at PBEPBEultrafine/6-31G*
See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/6-31G*
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (CS)

Jump to S1C1
Energy calculated at PBEPBEultrafine/6-31G*
 hartrees
Energy at 0K-235.500490
Energy at 298.15K-235.513683
HF Energy-235.500490
Nuclear repulsion energy248.156494
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 PBEPBEultrafine/6-31G*
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' 3046 2996 108.82      
2 A' 3042 2992 18.29      
3 A' 3036 2986 22.75      
4 A' 2995 2946 19.10      
5 A' 2984 2935 9.53      
6 A' 2979 2930 16.55      
7 A' 2970 2921 29.44      
8 A' 2967 2919 29.27      
9 A' 1483 1458 10.29      
10 A' 1478 1453 0.69      
11 A' 1473 1449 2.06      
12 A' 1388 1366 6.41      
13 A' 1385 1362 0.27      
14 A' 1350 1328 0.20      
15 A' 1331 1309 13.42      
16 A' 1247 1227 1.86      
17 A' 1227 1207 0.30      
18 A' 1174 1155 0.30      
19 A' 1118 1099 0.39      
20 A' 1032 1015 0.81      
21 A' 941 925 1.47      
22 A' 926 911 0.93      
23 A' 851 837 1.32      
24 A' 792 778 0.94      
25 A' 628 618 2.03      
26 A' 421 414 0.17      
27 A' 319 313 0.13      
28 A' 100 98 0.01      
29 A" 3046 2996 33.91      
30 A" 3043 2993 25.40      
31 A" 3037 2987 9.56      
32 A" 2982 2933 71.41      
33 A" 1480 1456 2.77      
34 A" 1478 1453 1.33      
35 A" 1451 1427 2.51      
36 A" 1262 1241 0.92      
37 A" 1239 1219 0.00      
38 A" 1200 1180 0.13      
39 A" 1117 1099 0.71      
40 A" 1107 1089 0.02      
41 A" 975 959 3.72      
42 A" 893 878 0.01      
43 A" 888 873 0.02      
44 A" 792 779 0.41      
45 A" 362 356 0.01      
46 A" 255 251 0.16      
47 A" 244 240 0.02      
48 A" 230 226 0.07      

Unscaled Zero Point Vibrational Energy (zpe) 35880.7 cm-1
Scaled (by 0.9835) Zero Point Vibrational Energy (zpe) 35288.7 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 PBEPBEultrafine/6-31G*
ABC
0.25628 0.07634 0.06972

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/6-31G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.255 0.084 1.086
C2 0.255 0.084 -1.086
C3 -0.662 0.722 0.000
C4 0.850 -0.865 0.000
C5 -0.856 2.236 0.000
C6 0.255 -2.276 0.000
H7 1.002 0.806 1.461
H8 -0.236 -0.390 1.954
H9 1.002 0.806 -1.461
H10 -0.236 -0.390 -1.954
H11 -1.649 0.226 0.000
H12 1.952 -0.935 0.000
H13 0.118 2.757 0.000
H14 -0.849 -2.247 0.000
H15 -1.416 2.569 -0.892
H16 -1.416 2.569 0.892
H17 0.575 -2.841 -0.893
H18 0.575 -2.841 0.893

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.17291.55831.56072.65442.59781.10411.10412.75113.11632.19712.25802.88802.79873.58933.00123.54662.9493
C22.17291.55831.56072.65442.59782.75113.11631.10411.10412.19712.25802.88802.79873.00123.58932.94933.5466
C31.55831.55832.19221.52643.13462.21592.28842.21592.28841.10483.09492.17912.97442.18572.18573.87603.8760
C41.56071.56072.19223.53961.53072.22512.28552.22512.28552.72731.10413.69502.19014.21044.21042.18602.1860
C52.65442.65441.52643.53964.64632.76253.33172.76253.33172.16074.23561.10474.48261.10451.10455.35015.3501
C62.59782.59783.13461.53074.64633.49132.75923.49132.75923.14402.16275.03391.10485.20215.20211.10431.1043
H71.10412.75112.21592.22512.76253.49131.79082.92223.82453.08212.46352.59223.85763.80683.04614.36213.7162
H81.10413.11632.28842.28553.33172.75921.79083.82453.90812.48902.98373.72112.76414.27233.35873.84312.7912
H92.75111.10412.21592.22512.76253.49132.92223.82451.79083.08212.46352.59223.85763.04613.80683.71624.3621
H103.11631.10412.28842.28553.33172.75923.82453.90811.79082.48902.98373.72112.76413.35874.27232.79123.8431
H112.19712.19711.10482.72732.16073.14403.08212.48903.08212.48903.78383.08662.59882.51832.51833.89253.8925
H122.25802.25803.09491.10414.23562.16272.46352.98372.46352.98373.78384.12183.09344.94164.94162.51592.5159
H132.88802.88802.17913.69501.10475.03392.59223.72112.59223.72113.08664.12185.09581.78431.78435.68705.6870
H142.79872.79872.97442.19014.48261.10483.85762.76413.85762.76412.59883.09345.09584.93074.93071.78281.7828
H153.58933.00122.18574.21041.10455.20213.80684.27233.04613.35872.51834.94161.78434.93071.78395.76546.0353
H163.00123.58932.18574.21041.10455.20213.04613.35873.80684.27232.51834.94161.78434.93071.78396.03535.7654
H173.54662.94933.87602.18605.35011.10434.36213.84313.71622.79123.89252.51595.68701.78285.76546.03531.7857
H182.94933.54663.87602.18605.35011.10433.71622.79124.36213.84313.89252.51595.68701.78286.03535.76541.7857

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 88.406 C1 C3 C5 118.738
C1 C3 H11 110.016 C1 C4 C2 88.238
C1 C4 C6 114.347 C1 C4 H12 114.761
C2 C3 C5 118.738 C2 C3 H11 110.016
C2 C4 C6 114.347 C2 C4 H12 114.761
C3 C1 C4 89.311 C3 C1 H7 111.530
C3 C1 H8 117.506 C3 C2 C4 89.311
C3 C2 H9 111.530 C3 C2 H10 117.506
C3 C5 H13 110.806 C3 C5 H15 111.346
C3 C5 H16 111.346 C4 C1 H7 112.095
C4 C1 H8 117.075 C4 C2 H9 112.095
C4 C2 H10 117.075 C4 C6 H14 111.377
C4 C6 H17 111.079 C4 C6 H18 111.079
C5 C3 H11 109.361 C6 C4 H12 109.261
H7 C1 H8 108.379 H9 C2 H10 108.379
H13 C5 H15 107.734 H13 C5 H16 107.734
H14 C6 H17 107.614 H14 C6 H18 107.614
H15 C5 H16 107.706 H17 C6 H18 107.908
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.297      
2 C -0.297      
3 C -0.090      
4 C -0.108      
5 C -0.492      
6 C -0.489      
7 H 0.143      
8 H 0.142      
9 H 0.143      
10 H 0.142      
11 H 0.139      
12 H 0.134      
13 H 0.150      
14 H 0.154      
15 H 0.156      
16 H 0.156      
17 H 0.156      
18 H 0.156      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.030 0.001 0.000 0.030
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.181 0.339 0.000
y 0.339 -40.044 0.000
z 0.000 0.000 -39.901
Traceless
 xyz
x 0.792 0.339 0.000
y 0.339 -0.503 0.000
z 0.000 0.000 -0.289
Polar
3z2-r2-0.578
x2-y20.863
xy0.339
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.706 -0.620 0.000
y -0.620 10.443 0.000
z 0.000 0.000 9.021


<r2> (average value of r2) Å2
<r2> 193.359
(<r2>)1/2 13.905