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All results from a given calculation for C8H6 (Pentalene)

using model chemistry: M06-2X/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 M06-2X/6-31G*
 hartrees
Energy at 0K-308.230788
Energy at 298.15K-308.236488
HF Energy-308.230788
Nuclear repulsion energy314.699225
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 M06-2X/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 3289 3114 0.00      
2 Ag 3253 3081 0.00      
3 Ag 3237 3066 0.00      
4 Ag 1725 1633 0.00      
5 Ag 1629 1543 0.00      
6 Ag 1403 1329 0.00      
7 Ag 1346 1274 0.00      
8 Ag 1207 1143 0.00      
9 Ag 1118 1059 0.00      
10 Ag 972 921 0.00      
11 Ag 857 812 0.00      
12 Ag 719 680 0.00      
13 Ag 661 626 0.00      
14 Au 952 901 2.69      
15 Au 895 848 20.33      
16 Au 752 712 83.98      
17 Au 514 486 6.46      
18 Au 301 285 1.62      
19 Au 154 146 5.21      
20 Bg 952 901 0.00      
21 Bg 920 871 0.00      
22 Bg 802 760 0.00      
23 Bg 678 642 0.00      
24 Bg 548 519 0.00      
25 Bu 3289 3115 13.98      
26 Bu 3254 3081 12.03      
27 Bu 3238 3067 12.39      
28 Bu 1719 1628 30.00      
29 Bu 1605 1520 16.88      
30 Bu 1357 1286 17.15      
31 Bu 1279 1211 18.63      
32 Bu 1134 1074 37.76      
33 Bu 1064 1007 12.93      
34 Bu 960 909 1.89      
35 Bu 845 800 8.57      
36 Bu 448 424 3.59      

Unscaled Zero Point Vibrational Energy (zpe) 24537.0 cm-1
Scaled (by 0.947) Zero Point Vibrational Energy (zpe) 23236.6 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 M06-2X/6-31G*
ABC
0.17442 0.07242 0.05117

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-31G*

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.343 1.085 0.000
C2 2.160 -0.176 0.000
C3 1.343 -1.248 0.000
C4 -1.343 -1.085 0.000
C5 -2.160 0.176 0.000
C6 -1.343 1.248 0.000
C7 0.044 0.733 0.000
C8 -0.044 -0.733 0.000
H9 1.770 2.082 0.000
H10 3.244 -0.191 0.000
H11 1.637 -2.290 0.000
H12 -1.770 -2.082 0.000
H13 -3.244 0.191 0.000
H14 -1.637 2.290 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 H9 H10 H11 H12 H13 H14
C11.50312.33303.45283.61912.69061.34602.28611.08472.28983.38774.44074.67333.2139
C21.50311.34793.61914.33513.78172.30352.27332.29201.08392.17754.36795.41704.5277
C32.33301.34792.69063.78173.66662.36871.47943.35752.17541.08253.22254.80754.6255
C43.45283.61912.69061.50312.33302.28611.34604.44074.67333.21391.08472.28983.3877
C53.61914.33513.78171.50311.34792.27332.30354.36795.41704.52772.29201.08392.1775
C62.69063.78173.66662.33301.34791.47942.36873.22254.80754.62553.35752.17541.0825
C71.34602.30352.36872.28612.27331.47941.46792.19103.33103.41663.34853.33232.2911
C82.28612.27331.47941.34602.30352.36871.46793.34853.33232.29112.19103.33103.4166
H91.08472.29203.35754.44074.36793.22252.19103.34852.70944.37415.46545.35893.4128
H102.28981.08392.17544.67335.41704.80753.33103.33232.70942.64395.35896.49965.4752
H113.38772.17751.08253.21394.52774.62553.41662.29114.37412.64393.41285.47525.6294
H124.44074.36793.22251.08472.29203.35753.34852.19105.46545.35893.41282.70944.3741
H134.67335.41704.80752.28981.08392.17543.33233.33105.35896.49965.47522.70942.6439
H143.21394.52774.62553.38772.17751.08252.29113.41663.41285.47525.62944.37412.6439

picture of Pentalene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 109.714 C1 C2 H10 123.722
C1 C7 C6 144.433 C1 C7 C8 108.597
C2 C1 C7 107.772 C2 C1 H9 123.869
C2 C3 C8 106.946 C2 C3 H11 126.917
C3 C2 H10 126.564 C3 C8 C4 144.433
C3 C8 C7 106.970 C4 C5 C6 109.714
C4 C5 H13 123.722 C4 C8 C7 108.597
C5 C4 C8 107.772 C5 C4 H12 123.869
C5 C6 C7 106.946 C5 C6 H14 126.917
C6 C5 H13 126.564 C6 C7 C8 106.970
C7 C1 H9 128.359 C7 C6 H14 126.137
C8 C3 H11 126.137 C8 C4 H12 128.359
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.213      
2 C -0.214      
3 C -0.125      
4 C -0.213      
5 C -0.214      
6 C -0.125      
7 C 0.037      
8 C 0.037      
9 H 0.174      
10 H 0.168      
11 H 0.173      
12 H 0.174      
13 H 0.168      
14 H 0.173      


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 -39.860 1.146 0.000
y 1.146 -40.143 0.000
z 0.000 0.000 -50.006
Traceless
 xyz
x 5.215 1.146 0.000
y 1.146 4.789 0.000
z 0.000 0.000 -10.004
Polar
3z2-r2-20.009
x2-y20.284
xy1.146
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 16.794 1.219 0.000
y 1.219 11.621 0.000
z 0.000 0.000 4.015


<r2> (average value of r2) Å2
<r2> 217.472
(<r2>)1/2 14.747