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All results from a given calculation for C8H6 (Pentalene)

using model chemistry: HSEh1PBE/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 HSEh1PBE/3-21G
 hartrees
Energy at 0K-306.321600
Energy at 298.15K-306.327370
HF Energy-306.321600
Nuclear repulsion energy313.621485
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 HSEh1PBE/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 3296 3175 0.00      
2 Ag 3273 3153 0.00      
3 Ag 3263 3143 0.00      
4 Ag 1664 1603 0.00      
5 Ag 1566 1509 0.00      
6 Ag 1381 1330 0.00      
7 Ag 1326 1277 0.00      
8 Ag 1200 1156 0.00      
9 Ag 1143 1102 0.00      
10 Ag 936 902 0.00      
11 Ag 855 824 0.00      
12 Ag 742 715 0.00      
13 Ag 665 641 0.00      
14 Au 962 927 2.17      
15 Au 905 872 27.58      
16 Au 745 718 124.41      
17 Au 525 506 14.05      
18 Au 299 288 1.97      
19 Au 155 149 10.89      
20 Bg 961 925 0.00      
21 Bg 926 892 0.00      
22 Bg 788 759 0.00      
23 Bg 671 647 0.00      
24 Bg 562 542 0.00      
25 Bu 3296 3175 16.99      
26 Bu 3274 3154 6.02      
27 Bu 3264 3144 5.38      
28 Bu 1666 1605 40.02      
29 Bu 1554 1497 12.62      
30 Bu 1363 1313 19.37      
31 Bu 1291 1243 17.05      
32 Bu 1155 1112 46.11      
33 Bu 1061 1023 21.85      
34 Bu 931 897 3.65      
35 Bu 890 857 8.35      
36 Bu 447 431 4.29      

Unscaled Zero Point Vibrational Energy (zpe) 24500.4 cm-1
Scaled (by 0.9633) Zero Point Vibrational Energy (zpe) 23601.2 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 HSEh1PBE/3-21G
ABC
0.17308 0.07192 0.05081

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/3-21G

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.348 1.097 0.000
C2 2.173 -0.169 0.000
C3 1.348 -1.245 0.000
C4 -1.348 -1.097 0.000
C5 -2.173 0.169 0.000
C6 -1.348 1.245 0.000
C7 0.045 0.736 0.000
C8 -0.045 -0.736 0.000
H9 1.772 2.091 0.000
H10 3.253 -0.180 0.000
H11 1.640 -2.285 0.000
H12 -1.772 -2.091 0.000
H13 -3.253 0.180 0.000
H14 -1.640 2.285 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 H9 H10 H11 H12 H13 H14
C11.51042.34163.47573.64092.70061.35242.30221.08152.29323.39364.46104.69213.2155
C21.51041.35543.64094.35823.79422.31262.28872.29571.08092.18154.38835.43724.5336
C32.34161.35542.70063.79423.67052.37191.48293.36342.18281.07953.23324.81724.6245
C43.47573.64092.70061.51042.34162.30221.35244.46104.69213.21551.08152.29323.3936
C53.64094.35823.79421.51041.35542.28872.31264.38835.43724.53362.29571.08092.1815
C62.70063.79423.67052.34161.35541.48292.37193.23324.81724.62453.36342.18281.0795
C71.35242.31262.37192.30222.28871.48291.47562.19563.33703.41623.36133.34482.2877
C82.30222.28871.48291.35242.31262.37191.47563.36133.34482.28772.19563.33703.4162
H91.08152.29573.36344.46104.38833.23322.19563.36132.71154.37805.48275.37703.4174
H102.29321.08092.18284.69215.43724.81723.33703.34482.71152.65225.37706.51685.4786
H113.39362.18151.07953.21554.53364.62453.41622.28774.37802.65223.41745.47865.6242
H124.46104.38833.23321.08152.29573.36343.36132.19565.48275.37703.41742.71154.3780
H134.69215.43724.81722.29321.08092.18283.34483.33705.37706.51685.47862.71152.6522
H143.21554.53364.62453.39362.18151.07952.28773.41623.41745.47865.62424.37802.6522

picture of Pentalene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 109.469 C1 C2 H10 123.641
C1 C7 C6 144.500 C1 C7 C8 108.911
C2 C1 C7 107.636 C2 C1 H9 123.841
C2 C3 C8 107.395 C2 C3 H11 126.884
C3 C2 H10 126.890 C3 C8 C4 144.500
C3 C8 C7 106.589 C4 C5 C6 109.469
C4 C5 H13 123.641 C4 C8 C7 108.911
C5 C4 C8 107.636 C5 C4 H12 123.841
C5 C6 C7 107.395 C5 C6 H14 126.884
C6 C5 H13 126.890 C6 C7 C8 106.589
C7 C1 H9 128.523 C7 C6 H14 125.721
C8 C3 H11 125.721 C8 C4 H12 128.523
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.229      
2 C -0.239      
3 C -0.184      
4 C -0.229      
5 C -0.239      
6 C -0.184      
7 C -0.005      
8 C -0.005      
9 H 0.221      
10 H 0.219      
11 H 0.217      
12 H 0.221      
13 H 0.219      
14 H 0.217      


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 -39.137 1.210 0.000
y 1.210 -39.412 0.000
z 0.000 0.000 -51.921
Traceless
 xyz
x 6.530 1.210 0.000
y 1.210 6.117 0.000
z 0.000 0.000 -12.647
Polar
3z2-r2-25.294
x2-y20.275
xy1.210
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 16.319 1.206 0.000
y 1.206 11.142 0.000
z 0.000 0.000 3.001


<r2> (average value of r2) Å2
<r2> 218.828
(<r2>)1/2 14.793