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All results from a given calculation for C8H6 (Pentalene)

using model chemistry: mPW1PW91/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2H 1Ag
Energy calculated at mPW1PW91/3-21G
 hartrees
Energy at 0K-306.591726
Energy at 298.15K-306.597502
HF Energy-306.591726
Nuclear repulsion energy313.628407
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 mPW1PW91/3-21G
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 3301 3152 0.00      
2 Ag 3278 3130 0.00      
3 Ag 3268 3120 0.00      
4 Ag 1666 1590 0.00      
5 Ag 1568 1497 0.00      
6 Ag 1382 1320 0.00      
7 Ag 1327 1267 0.00      
8 Ag 1201 1146 0.00      
9 Ag 1146 1094 0.00      
10 Ag 936 893 0.00      
11 Ag 855 816 0.00      
12 Ag 742 709 0.00      
13 Ag 665 634 0.00      
14 Au 965 921 2.13      
15 Au 908 867 28.45      
16 Au 747 714 126.10      
17 Au 525 502 14.02      
18 Au 300 286 2.07      
19 Au 156 149 11.04      
20 Bg 964 920 0.00      
21 Bg 928 886 0.00      
22 Bg 789 753 0.00      
23 Bg 672 641 0.00      
24 Bg 562 537 0.00      
25 Bu 3301 3151 17.41      
26 Bu 3279 3130 6.45      
27 Bu 3269 3121 5.46      
28 Bu 1668 1592 38.49      
29 Bu 1555 1485 12.70      
30 Bu 1365 1303 19.03      
31 Bu 1293 1234 17.06      
32 Bu 1156 1103 44.33      
33 Bu 1060 1012 23.31      
34 Bu 930 888 3.18      
35 Bu 890 849 8.50      
36 Bu 448 427 4.35      

Unscaled Zero Point Vibrational Energy (zpe) 24532.3 cm-1
Scaled (by 0.9546) Zero Point Vibrational Energy (zpe) 23418.6 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 mPW1PW91/3-21G
ABC
0.17303 0.07193 0.05081

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/3-21G

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.348 1.096 0.000
C2 2.172 -0.170 0.000
C3 1.348 -1.246 0.000
C4 -1.348 -1.096 0.000
C5 -2.172 0.170 0.000
C6 -1.348 1.246 0.000
C7 0.045 0.737 0.000
C8 -0.045 -0.737 0.000
H9 1.772 2.090 0.000
H10 3.252 -0.181 0.000
H11 1.639 -2.285 0.000
H12 -1.772 -2.090 0.000
H13 -3.252 0.181 0.000
H14 -1.639 2.285 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 H9 H10 H11 H12 H13 H14
C11.51092.34203.47503.64022.70061.35192.30211.08052.29273.39314.45944.69053.2151
C21.51091.35503.64024.35803.79482.31262.28852.29531.07992.18044.38675.43594.5336
C32.34201.35502.70063.79483.67162.37261.48343.36262.18141.07853.23254.81674.6248
C43.47503.64022.70061.51092.34202.30211.35194.45944.69053.21511.08052.29273.3931
C53.64024.35803.79481.51091.35502.28852.31264.38675.43594.53362.29531.07992.1804
C62.70063.79483.67162.34201.35501.48342.37263.23254.81674.62483.36262.18141.0785
C71.35192.31262.37262.30212.28851.48341.47592.19423.33603.41593.36013.34362.2874
C82.30212.28851.48341.35192.31262.37261.47593.36013.34362.28742.19423.33603.4159
H91.08052.29533.36264.45944.38673.23252.19423.36012.71084.37645.48015.37463.4168
H102.29271.07992.18144.69055.43594.81673.33603.34362.71082.65065.37466.51455.4777
H113.39312.18041.07853.21514.53364.62483.41592.28744.37642.65063.41685.47775.6235
H124.45944.38673.23251.08052.29533.36263.36012.19425.48015.37463.41682.71084.3764
H134.69055.43594.81672.29271.07992.18143.34363.33605.37466.51455.47772.71082.6506
H143.21514.53364.62483.39312.18041.07852.28743.41593.41685.47775.62354.37642.6506

picture of Pentalene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 109.489 C1 C2 H10 123.635
C1 C7 C6 144.498 C1 C7 C8 108.912
C2 C1 C7 107.636 C2 C1 H9 123.845
C2 C3 C8 107.374 C2 C3 H11 126.896
C3 C2 H10 126.876 C3 C8 C4 144.498
C3 C8 C7 106.589 C4 C5 C6 109.489
C4 C5 H13 123.635 C4 C8 C7 108.912
C5 C4 C8 107.636 C5 C4 H12 123.845
C5 C6 C7 107.374 C5 C6 H14 126.896
C6 C5 H13 126.876 C6 C7 C8 106.589
C7 C1 H9 128.519 C7 C6 H14 125.730
C8 C3 H11 125.730 C8 C4 H12 128.519
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.232      
2 C -0.242      
3 C -0.186      
4 C -0.232      
5 C -0.242      
6 C -0.186      
7 C -0.006      
8 C -0.006      
9 H 0.223      
10 H 0.222      
11 H 0.220      
12 H 0.223      
13 H 0.222      
14 H 0.220      


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 -39.009 1.204 0.000
y 1.204 -39.318 0.000
z 0.000 0.000 -51.899
Traceless
 xyz
x 6.600 1.204 0.000
y 1.204 6.136 0.000
z 0.000 0.000 -12.736
Polar
3z2-r2-25.472
x2-y20.309
xy1.204
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 16.294 1.221 0.000
y 1.221 11.121 0.000
z 0.000 0.000 3.001


<r2> (average value of r2) Å2
<r2> 218.769
(<r2>)1/2 14.791