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

using model chemistry: B3LYP/6-31+G**

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 B3LYP/6-31+G**
Rotational Constants (cm-1) from geometry optimized at B3LYP/6-31+G**
See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31+G**
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (CS)

Jump to S1C1
Energy calculated at B3LYP/6-31+G**
 hartrees
Energy at 0K-235.868655
Energy at 298.15K-235.881996
HF Energy-235.868655
Nuclear repulsion energy248.467165
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 B3LYP/6-31+G**
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' 3097 2986 139.51      
2 A' 3090 2979 20.30      
3 A' 3086 2975 27.22      
4 A' 3053 2944 16.63      
5 A' 3040 2931 8.48      
6 A' 3037 2928 14.57      
7 A' 3022 2914 41.23      
8 A' 3021 2912 31.54      
9 A' 1506 1452 10.14      
10 A' 1501 1447 0.90      
11 A' 1497 1443 4.14      
12 A' 1416 1366 7.73      
13 A' 1413 1363 1.21      
14 A' 1380 1330 0.82      
15 A' 1362 1314 11.62      
16 A' 1279 1233 2.87      
17 A' 1250 1205 0.33      
18 A' 1198 1155 0.26      
19 A' 1125 1085 0.44      
20 A' 1045 1008 1.01      
21 A' 962 928 0.84      
22 A' 941 907 0.58      
23 A' 865 834 0.76      
24 A' 796 767 0.96      
25 A' 644 621 1.49      
26 A' 431 416 0.07      
27 A' 324 312 0.09      
28 A' 88 85 0.01      
29 A" 3092 2981 41.95      
30 A" 3089 2978 19.74      
31 A" 3087 2977 22.15      
32 A" 3037 2928 90.45      
33 A" 1502 1448 5.07      
34 A" 1500 1446 0.08      
35 A" 1478 1425 4.55      
36 A" 1293 1247 0.62      
37 A" 1274 1228 0.00      
38 A" 1231 1187 0.06      
39 A" 1143 1102 0.40      
40 A" 1128 1087 0.00      
41 A" 997 961 2.80      
42 A" 904 871 0.00      
43 A" 897 865 0.20      
44 A" 811 782 0.10      
45 A" 377 364 0.00      
46 A" 259 250 0.06      
47 A" 253 244 0.00      
48 A" 235 227 0.03      

Unscaled Zero Point Vibrational Energy (zpe) 36526.9 cm-1
Scaled (by 0.9642) Zero Point Vibrational Energy (zpe) 35219.2 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 B3LYP/6-31+G**
ABC
0.26052 0.07612 0.06922

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31+G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.248 0.079 1.086
C2 0.248 0.079 -1.086
C3 -0.658 0.731 0.000
C4 0.840 -0.870 0.000
C5 -0.831 2.246 0.000
C6 0.248 -2.281 0.000
H7 0.993 0.788 1.465
H8 -0.248 -0.391 1.943
H9 0.993 0.788 -1.465
H10 -0.248 -0.391 -1.943
H11 -1.646 0.255 0.000
H12 1.934 -0.941 0.000
H13 0.143 2.751 0.000
H14 -0.849 -2.255 0.000
H15 -1.383 2.584 -0.886
H16 -1.383 2.584 0.886
H17 0.566 -2.842 -0.886
H18 0.566 -2.842 0.886

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.17121.55671.55932.65312.59761.09641.09632.75053.10452.18982.25052.88572.79783.58062.99563.53902.9454
C22.17121.55671.55932.65312.59762.75053.10451.09641.09632.18982.25052.88572.79782.99563.58062.94543.5390
C31.55671.55672.19291.52523.14492.20852.28082.20852.28081.09683.08482.17282.99172.17832.17833.87963.8796
C41.55931.55932.19293.53661.52992.21782.27772.21782.27772.72911.09623.68772.18404.20264.20262.17932.1793
C52.65312.65311.52523.53664.65382.75773.32752.75773.32752.15174.22001.09694.50101.09691.09695.35085.3508
C62.59762.59763.14491.52994.65383.48102.75473.48102.75473.16462.15395.03261.09685.20695.20691.09661.0966
H71.09642.75052.20852.21782.75773.48101.77762.93063.81393.06562.45372.59333.84653.79513.03504.34603.7002
H81.09633.10452.28082.27773.32752.75471.77763.81393.88532.47902.97313.71502.75784.25963.35573.83042.7900
H92.75051.09642.20852.21782.75773.48102.93063.81391.77763.06562.45372.59333.84653.03503.79513.70024.3460
H103.10451.09632.28082.27773.32752.75473.81393.88531.77762.47902.97313.71502.75783.35574.25962.79003.8304
H112.18982.18981.09682.72912.15173.16463.06562.47903.06562.47903.77483.07082.63302.50612.50613.90783.9078
H122.25052.25053.08481.09624.22002.15392.45372.97312.45372.97313.77484.10373.07754.92114.92112.50422.5042
H132.88572.88572.17283.68771.09695.03262.59333.71502.59333.71503.07084.10375.10271.77201.77205.67865.6786
H142.79782.79782.99172.18404.50101.09683.84652.75783.84652.75782.63303.07755.10274.94834.94831.77021.7702
H153.58062.99562.17834.20261.09695.20693.79514.25963.03503.35572.50614.92111.77204.94831.77175.76596.0321
H162.99563.58062.17834.20261.09695.20693.03503.35573.79514.25962.50614.92111.77204.94831.77176.03215.7659
H173.53902.94543.87962.17935.35081.09664.34603.83043.70022.79003.90782.50425.67861.77025.76596.03211.7729
H182.94543.53903.87962.17935.35081.09663.70022.79004.34603.83043.90782.50425.67861.77026.03215.76591.7729

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 88.432 C1 C3 C5 118.818
C1 C3 H11 110.016 C1 C4 C2 88.248
C1 C4 C6 114.460 C1 C4 H12 114.756
C2 C3 C5 118.818 C2 C3 H11 110.016
C2 C4 C6 114.460 C2 C4 H12 114.756
C3 C1 C4 89.459 C3 C1 H7 111.516
C3 C1 H8 117.508 C3 C2 C4 89.459
C3 C2 H9 111.516 C3 C2 H10 117.508
C3 C5 H13 110.860 C3 C5 H15 111.302
C3 C5 H16 111.302 C4 C1 H7 112.077
C4 C1 H8 117.044 C4 C2 H9 112.077
C4 C2 H10 117.044 C4 C6 H14 111.433
C4 C6 H17 111.063 C4 C6 H18 111.063
C5 C3 H11 109.208 C6 C4 H12 109.087
H7 C1 H8 108.320 H9 C2 H10 108.320
H13 C5 H15 107.745 H13 C5 H16 107.745
H14 C6 H17 107.620 H14 C6 H18 107.620
H15 C5 H16 107.719 H17 C6 H18 107.870
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.511      
2 C -0.511      
3 C 0.332      
4 C 0.245      
5 C -0.643      
6 C -0.555      
7 H 0.134      
8 H 0.135      
9 H 0.134      
10 H 0.135      
11 H 0.126      
12 H 0.124      
13 H 0.139      
14 H 0.142      
15 H 0.143      
16 H 0.143      
17 H 0.144      
18 H 0.144      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.013 -0.012 0.000 0.018
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -40.139 0.270 0.000
y 0.270 -41.405 0.000
z 0.000 0.000 -41.127
Traceless
 xyz
x 1.127 0.270 0.000
y 0.270 -0.772 0.000
z 0.000 0.000 -0.355
Polar
3z2-r2-0.711
x2-y21.266
xy0.270
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.468 -0.692 0.000
y -0.692 11.575 0.000
z 0.000 0.000 10.089


<r2> (average value of r2) Å2
<r2> 194.370
(<r2>)1/2 13.942