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

using model chemistry: B3PW91/6-311G*

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 B3PW91/6-311G*
Rotational Constants (cm-1) from geometry optimized at B3PW91/6-311G*
See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-311G*
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (CS)

Jump to S1C1
Energy calculated at B3PW91/6-311G*
 hartrees
Energy at 0K-235.807766
Energy at 298.15K-235.821143
HF Energy-235.807766
Nuclear repulsion energy249.577870
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 B3PW91/6-311G*
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' 3103 2987 143.60      
2 A' 3094 2979 17.46      
3 A' 3090 2975 33.70      
4 A' 3058 2944 16.86      
5 A' 3044 2930 9.79      
6 A' 3040 2927 9.27      
7 A' 3024 2911 42.63      
8 A' 3024 2911 26.69      
9 A' 1514 1457 13.28      
10 A' 1509 1452 3.13      
11 A' 1502 1446 1.80      
12 A' 1419 1366 11.24      
13 A' 1417 1364 2.28      
14 A' 1388 1336 0.59      
15 A' 1369 1318 8.32      
16 A' 1281 1233 4.13      
17 A' 1259 1212 0.36      
18 A' 1203 1158 0.28      
19 A' 1143 1101 0.23      
20 A' 1055 1016 0.32      
21 A' 966 930 1.04      
22 A' 949 913 0.88      
23 A' 873 840 1.19      
24 A' 809 779 1.36      
25 A' 647 623 1.66      
26 A' 428 412 0.12      
27 A' 323 311 0.11      
28 A' 92 89 0.01      
29 A" 3097 2981 43.34      
30 A" 3094 2978 33.64      
31 A" 3092 2976 9.25      
32 A" 3040 2926 85.69      
33 A" 1511 1454 6.01      
34 A" 1509 1452 0.75      
35 A" 1481 1425 6.47      
36 A" 1296 1247 0.26      
37 A" 1275 1228 0.00      
38 A" 1231 1185 0.07      
39 A" 1149 1106 0.73      
40 A" 1135 1093 0.01      
41 A" 1003 965 4.26      
42 A" 916 882 0.00      
43 A" 909 875 0.03      
44 A" 810 780 0.25      
45 A" 376 362 0.01      
46 A" 260 250 0.11      
47 A" 256 246 0.00      
48 A" 236 227 0.06      

Unscaled Zero Point Vibrational Energy (zpe) 36647.4 cm-1
Scaled (by 0.9627) Zero Point Vibrational Energy (zpe) 35280.5 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 B3PW91/6-311G*
ABC
0.26090 0.07703 0.07019

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-311G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.255 0.084 1.080
C2 0.255 0.084 -1.080
C3 -0.658 0.717 0.000
C4 0.848 -0.860 0.000
C5 -0.856 2.220 0.000
C6 0.255 -2.260 0.000
H7 0.995 0.800 1.452
H8 -0.231 -0.386 1.941
H9 0.995 0.800 -1.452
H10 -0.231 -0.386 -1.941
H11 -1.635 0.220 0.000
H12 1.941 -0.927 0.000
H13 0.107 2.744 0.000
H14 -0.841 -2.233 0.000
H15 -1.412 2.551 -0.884
H16 -1.412 2.551 0.884
H17 0.569 -2.824 -0.884
H18 0.569 -2.824 0.884

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.15931.54941.55182.63832.58021.09521.09472.73303.09532.18082.24262.87442.78113.56642.98393.52302.9314
C22.15931.54941.55182.63832.58022.73303.09531.09521.09472.18082.24262.87442.78112.98393.56642.93143.5230
C31.54941.54942.18081.51533.11382.20212.27312.20212.27311.09613.07532.16582.95642.17062.17063.85113.8511
C41.55181.55182.18083.51941.52002.21002.27062.21002.27062.70771.09503.67902.17644.18604.18602.17182.1718
C52.63832.63831.51533.51944.61492.74793.30862.74793.30862.14614.20951.09574.45321.09541.09545.31535.3153
C62.58022.58023.11381.52004.61493.46632.74113.46632.74113.11792.14915.00541.09565.16745.16741.09511.0951
H71.09522.73302.20212.21002.74793.46631.77452.90373.79743.06002.44582.58393.83113.78373.03084.33243.6926
H81.09473.09532.27312.27063.30862.74111.77453.79743.88192.47112.96243.69802.74814.24253.33753.81662.7753
H92.73301.09522.20212.21002.74793.46632.90373.79741.77453.06002.44582.58393.83113.03083.78373.69264.3324
H103.09531.09472.27312.27063.30862.74113.79743.88191.77452.47112.96243.69802.74813.33754.24252.77533.8166
H112.18082.18081.09612.70772.14613.11793.06002.47113.06002.47113.75533.06622.57912.50272.50273.86133.8613
H122.24262.24263.07531.09504.20952.14912.44582.96242.44582.96243.75534.10313.07294.91084.91082.50242.5024
H132.87442.87442.16583.67901.09575.00542.58393.69802.58393.69803.06624.10315.06631.76741.76745.65645.6564
H142.78112.78112.95642.17644.45321.09563.83112.74813.83112.74812.57913.07295.06634.89894.89891.76591.7659
H153.56642.98392.17064.18601.09545.16743.78374.24253.03083.33752.50274.91081.76744.89891.76715.72885.9953
H162.98393.56642.17064.18601.09545.16743.03083.33753.78374.24252.50274.91081.76744.89891.76715.99535.7288
H173.52302.93143.85112.17185.31531.09514.33243.81663.69262.77533.86132.50245.65641.76595.72885.99531.7682
H182.93143.52303.85112.17185.31531.09513.69262.77534.33243.81663.86132.50245.65641.76595.99535.72881.7682

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 88.346 C1 C3 C5 118.827
C1 C3 H11 109.862 C1 C4 C2 88.172
C1 C4 C6 114.263 C1 C4 H12 114.741
C2 C3 C5 118.827 C2 C3 H11 109.862
C2 C4 C6 114.263 C2 C4 H12 114.741
C3 C1 C4 89.373 C3 C1 H7 111.596
C3 C1 H8 117.530 C3 C2 C4 89.373
C3 C2 H9 111.596 C3 C2 H10 117.530
C3 C5 H13 111.076 C3 C5 H15 111.478
C3 C5 H16 111.478 C4 C1 H7 112.056
C4 C1 H8 117.127 C4 C2 H9 112.056
C4 C2 H10 117.127 C4 C6 H14 111.593
C4 C6 H17 111.258 C4 C6 H18 111.258
C5 C3 H11 109.483 C6 C4 H12 109.466
H7 C1 H8 108.250 H9 C2 H10 108.250
H13 C5 H15 107.536 H13 C5 H16 107.536
H14 C6 H17 107.429 H14 C6 H18 107.429
H15 C5 H16 107.533 H17 C6 H18 107.667
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.402      
2 C -0.402      
3 C -0.243      
4 C -0.254      
5 C -0.636      
6 C -0.645      
7 H 0.216      
8 H 0.214      
9 H 0.216      
10 H 0.214      
11 H 0.211      
12 H 0.206      
13 H 0.208      
14 H 0.217      
15 H 0.220      
16 H 0.220      
17 H 0.221      
18 H 0.221      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.013 -0.001 0.000 0.014
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.495 0.404 0.000
y 0.404 -40.769 0.000
z 0.000 0.000 -40.382
Traceless
 xyz
x 1.081 0.404 0.000
y 0.404 -0.831 0.000
z 0.000 0.000 -0.250
Polar
3z2-r2-0.500
x2-y21.275
xy0.404
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.051 -0.663 0.000
y -0.663 10.931 0.000
z 0.000 0.000 9.487


<r2> (average value of r2) Å2
<r2> 192.109
(<r2>)1/2 13.860