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All results from a given calculation for C8H6 (Pentalene)

using model chemistry: wB97X-D/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2H 1Ag
Energy calculated at wB97X-D/3-21G*
 hartrees
Energy at 0K-306.557214
Energy at 298.15K-306.562985
HF Energy-306.557214
Nuclear repulsion energy313.544927
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 wB97X-D/3-21G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 Ag 3307 3134 0.00      
2 Ag 3286 3115 0.00      
3 Ag 3275 3104 0.00      
4 Ag 1693 1605 0.00      
5 Ag 1595 1512 0.00      
6 Ag 1383 1311 0.00      
7 Ag 1333 1263 0.00      
8 Ag 1201 1138 0.00      
9 Ag 1148 1088 0.00      
10 Ag 932 883 0.00      
11 Ag 852 808 0.00      
12 Ag 751 712 0.00      
13 Ag 664 629 0.00      
14 Au 982 931 1.87      
15 Au 916 869 31.96      
16 Au 755 715 126.97      
17 Au 529 501 13.29      
18 Au 301 285 2.70      
19 Au 151 143 11.44      
20 Bg 980 929 0.00      
21 Bg 932 884 0.00      
22 Bg 794 752 0.00      
23 Bg 675 640 0.00      
24 Bg 563 534 0.00      
25 Bu 3307 3134 14.24      
26 Bu 3287 3115 6.66      
27 Bu 3276 3105 4.64      
28 Bu 1693 1605 26.71      
29 Bu 1574 1492 13.56      
30 Bu 1368 1296 19.09      
31 Bu 1297 1229 18.22      
32 Bu 1157 1096 39.85      
33 Bu 1053 998 27.81      
34 Bu 925 877 1.62      
35 Bu 892 845 8.06      
36 Bu 447 423 4.58      

Unscaled Zero Point Vibrational Energy (zpe) 24635.2 cm-1
Scaled (by 0.9478) Zero Point Vibrational Energy (zpe) 23349.2 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 wB97X-D/3-21G*
ABC
0.17262 0.07195 0.05078

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/3-21G*

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.345 1.088 0.000
C2 2.167 -0.174 0.000
C3 1.345 -1.250 0.000
C4 -1.345 -1.088 0.000
C5 -2.167 0.174 0.000
C6 -1.345 1.250 0.000
C7 0.042 0.733 0.000
C8 -0.042 -0.733 0.000
H9 1.765 2.083 0.000
H10 3.246 -0.189 0.000
H11 1.639 -2.287 0.000
H12 -1.765 -2.083 0.000
H13 -3.246 0.189 0.000
H14 -1.639 2.287 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 H9 H10 H11 H12 H13 H14
C11.50562.33763.46033.62982.69591.35092.28931.08012.28973.38754.44164.67893.2164
C21.50561.35413.62984.34863.79042.31102.27902.29241.07902.17844.37135.42574.5325
C32.33761.35412.69593.79043.67302.37341.48043.35922.17691.07793.22014.81194.6279
C43.46033.62982.69591.50562.33762.28931.35094.44164.67893.21641.08012.28973.3875
C53.62984.34863.79041.50561.35412.27902.31104.37135.42574.53252.29241.07902.1784
C62.69593.79043.67302.33761.35411.48042.37343.22014.81194.62793.35922.17691.0779
C71.35092.31102.37342.28932.27901.48041.46922.18873.33453.41673.34613.33292.2889
C82.28932.27901.48041.35092.31102.37341.46923.34613.33292.28892.18873.33453.4167
H91.08012.29243.35924.44164.37133.22012.18873.34612.71214.37195.46045.35723.4100
H102.28971.07902.17694.67895.42574.81193.33453.33292.71212.64315.35726.50355.4768
H113.38752.17841.07793.21644.53254.62793.41672.28894.37192.64313.41005.47685.6274
H124.44164.37133.22011.08012.29243.35923.34612.18875.46045.35723.41002.71214.3719
H134.67895.42574.81192.28971.07902.17693.33293.33455.35726.50355.47682.71212.6431
H143.21644.53254.62793.38752.17841.07792.28893.41673.41005.47685.62744.37192.6431

picture of Pentalene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 109.545 C1 C2 H10 123.887
C1 C7 C6 144.373 C1 C7 C8 108.472
C2 C1 C7 107.880 C2 C1 H9 124.061
C2 C3 C8 106.948 C2 C3 H11 126.832
C3 C2 H10 126.568 C3 C8 C4 144.373
C3 C8 C7 107.155 C4 C5 C6 109.545
C4 C5 H13 123.887 C4 C8 C7 108.472
C5 C4 C8 107.880 C5 C4 H12 124.061
C5 C6 C7 106.948 C5 C6 H14 126.832
C6 C5 H13 126.568 C6 C7 C8 107.155
C7 C1 H9 128.059 C7 C6 H14 126.220
C8 C3 H11 126.220 C8 C4 H12 128.059
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.242      
2 C -0.236      
3 C -0.192      
4 C -0.242      
5 C -0.236      
6 C -0.192      
7 C 0.005      
8 C 0.005      
9 H 0.223      
10 H 0.222      
11 H 0.221      
12 H 0.223      
13 H 0.222      
14 H 0.221      


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


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -38.892 1.125 0.000
y 1.125 -39.362 0.000
z 0.000 0.000 -51.746
Traceless
 xyz
x 6.662 1.125 0.000
y 1.125 5.957 0.000
z 0.000 0.000 -12.619
Polar
3z2-r2-25.238
x2-y20.470
xy1.125
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 16.063 1.350 0.000
y 1.350 10.991 0.000
z 0.000 0.000 2.981


<r2> (average value of r2) Å2
<r2> 218.809
(<r2>)1/2 14.792