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All results from a given calculation for C8H6 (Pentalene)

using model chemistry: PBEPBE/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2H 1Ag
Energy calculated at PBEPBE/6-31G*
 hartrees
Energy at 0K-307.972242
Energy at 298.15K-307.977669
HF Energy-307.972242
Nuclear repulsion energy312.948676
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/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 Ag 3187 3141 0.00      
2 Ag 3165 3120 0.00      
3 Ag 3147 3102 0.00      
4 Ag 1608 1585 0.00      
5 Ag 1506 1484 0.00      
6 Ag 1365 1345 0.00      
7 Ag 1285 1267 0.00      
8 Ag 1169 1152 0.00      
9 Ag 1083 1068 0.00      
10 Ag 944 931 0.00      
11 Ag 836 824 0.00      
12 Ag 681 672 0.00      
13 Ag 637 628 0.00      
14 Au 876 864 8.05      
15 Au 832 820 7.37      
16 Au 690 680 77.14      
17 Au 493 486 7.92      
18 Au 290 286 0.86      
19 Au 149 147 4.19      
20 Bg 887 875 0.00      
21 Bg 861 849 0.00      
22 Bg 765 754 0.00      
23 Bg 643 634 0.00      
24 Bg 536 529 0.00      
25 Bu 3186 3141 30.36      
26 Bu 3166 3121 15.74      
27 Bu 3148 3103 19.61      
28 Bu 1612 1589 63.72      
29 Bu 1505 1484 13.14      
30 Bu 1312 1294 19.95      
31 Bu 1243 1225 17.13      
32 Bu 1110 1094 41.73      
33 Bu 1037 1022 2.64      
34 Bu 942 928 13.65      
35 Bu 820 808 7.67      
36 Bu 434 427 3.52      

Unscaled Zero Point Vibrational Energy (zpe) 23573.9 cm-1
Scaled (by 0.9857) Zero Point Vibrational Energy (zpe) 23236.8 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/6-31G*
ABC
0.17368 0.07138 0.05059

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

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.352 1.097 0.000
C2 2.179 -0.160 0.000
C3 1.352 -1.244 0.000
C4 -1.352 -1.097 0.000
C5 -2.179 0.160 0.000
C6 -1.352 1.244 0.000
C7 0.039 0.734 0.000
C8 -0.039 -0.734 0.000
H9 1.779 2.104 0.000
H10 3.271 -0.169 0.000
H11 1.650 -2.293 0.000
H12 -1.779 -2.104 0.000
H13 -3.271 0.169 0.000
H14 -1.650 2.293 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 H9 H10 H11 H12 H13 H14
C11.50462.34113.48283.65302.70821.36222.30011.09362.29923.40384.47804.71563.2315
C21.50461.36303.65304.36883.79942.31862.29092.29941.09272.19804.40915.45964.5471
C32.34111.36302.70823.79943.67432.37401.48173.37522.19951.09113.24684.83434.6393
C43.48283.65302.70821.50462.34112.30011.36224.47804.71563.23151.09362.29923.4038
C53.65304.36883.79941.50461.36302.29092.31864.40915.45964.54712.29941.09272.1980
C62.70823.79943.67432.34111.36301.48172.37403.24684.83434.63933.37522.19951.0911
C71.36222.31862.37402.30012.29091.48171.47052.21423.35573.42943.37083.35832.2988
C82.30012.29091.48171.36222.31862.37401.47053.37083.35832.29882.21423.35573.4294
H91.09362.29943.37524.47804.40913.24682.21423.37082.71954.39975.51075.40793.4337
H102.29921.09272.19954.71565.45964.83433.35573.35832.71952.67245.40796.55105.5027
H113.40382.19801.09113.23154.54714.63933.42942.29884.39972.67243.43375.50275.6505
H124.47804.40913.24681.09362.29943.37523.37082.21425.51075.40793.43372.71954.3997
H134.71565.45964.83432.29921.09272.19953.35833.35575.40796.55105.50272.71952.6724
H143.23154.54714.63933.40382.19801.09112.29883.42943.43375.50275.65054.39972.6724

picture of Pentalene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 109.357 C1 C2 H10 123.790
C1 C7 C6 144.424 C1 C7 C8 108.521
C2 C1 C7 107.854 C2 C1 H9 123.733
C2 C3 C8 107.213 C2 C3 H11 126.836
C3 C2 H10 126.853 C3 C8 C4 144.424
C3 C8 C7 107.055 C4 C5 C6 109.357
C4 C5 H13 123.790 C4 C8 C7 108.521
C5 C4 C8 107.854 C5 C4 H12 123.733
C5 C6 C7 107.213 C5 C6 H14 126.836
C6 C5 H13 126.853 C6 C7 C8 107.055
C7 C1 H9 128.413 C7 C6 H14 125.952
C8 C3 H11 125.952 C8 C4 H12 128.413
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.194      
2 C -0.191      
3 C -0.130      
4 C -0.194      
5 C -0.191      
6 C -0.130      
7 C 0.084      
8 C 0.084      
9 H 0.147      
10 H 0.141      
11 H 0.143      
12 H 0.147      
13 H 0.141      
14 H 0.143      


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 -40.243 1.166 0.000
y 1.166 -39.930 0.000
z 0.000 0.000 -49.562
Traceless
 xyz
x 4.503 1.166 0.000
y 1.166 4.973 0.000
z 0.000 0.000 -9.476
Polar
3z2-r2-18.951
x2-y2-0.313
xy1.166
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 17.836 0.828 0.000
y 0.828 12.261 0.000
z 0.000 0.000 4.084


<r2> (average value of r2) Å2
<r2> 219.655
(<r2>)1/2 14.821