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All results from a given calculation for C6H6 (Benzvalene)

using model chemistry: PBEPBEultrafine/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBEPBEultrafine/3-21G
 hartrees
Energy at 0K-230.534436
Energy at 298.15K-230.540700
HF Energy-230.534436
Nuclear repulsion energy211.234841
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 PBEPBEultrafine/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 A1 3210 3180 0.47      
2 A1 3199 3170 16.69      
3 A1 3165 3136 0.64      
4 A1 1568 1554 1.95      
5 A1 1320 1308 0.54      
6 A1 1143 1133 1.65      
7 A1 1100 1090 4.84      
8 A1 979 970 0.40      
9 A1 879 871 1.00      
10 A1 778 771 12.10      
11 A1 700 694 0.86      
12 A2 1099 1089 0.00      
13 A2 910 901 0.00      
14 A2 889 881 0.00      
15 A2 732 725 0.00      
16 A2 522 517 0.00      
17 B1 3176 3147 9.75      
18 B1 1086 1076 32.77      
19 B1 987 978 0.61      
20 B1 737 730 92.78      
21 B1 610 604 0.00      
22 B1 502 497 16.16      
23 B2 3180 3151 7.88      
24 B2 3166 3137 8.04      
25 B2 1305 1293 9.32      
26 B2 1236 1225 0.05      
27 B2 1157 1147 4.30      
28 B2 960 951 0.00      
29 B2 851 843 0.55      
30 B2 802 795 14.97      

Unscaled Zero Point Vibrational Energy (zpe) 20972.2 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 20781.4 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 PBEPBEultrafine/3-21G
ABC
0.23883 0.17158 0.12696

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.744 0.000 -1.027
C2 -0.744 0.000 -1.027
C3 0.000 1.094 -0.201
C4 0.000 -1.094 -0.201
C5 0.000 0.675 1.260
C6 0.000 -0.675 1.260
H7 1.534 0.000 -1.770
H8 -1.534 0.000 -1.770
H9 0.000 2.132 -0.532
H10 0.000 -2.132 -0.532
H11 0.000 1.359 2.106
H12 0.000 -1.359 2.106

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.48761.55971.55972.49812.49811.08492.39632.31192.31193.49543.4954
C21.48761.55971.55972.49812.49812.39631.08492.31192.31193.49543.4954
C31.55971.55972.18821.52002.29472.45222.45221.08973.24332.32253.3678
C41.55971.55972.18822.29471.52002.45222.45223.24331.08973.36782.3225
C52.49812.49811.52002.29471.35053.46313.46312.30983.33081.08792.2033
C62.49812.49812.29471.52001.35053.46313.46313.33082.30982.20331.0879
H71.08492.39632.45222.45223.46313.46313.06872.90402.90404.38504.3850
H82.39631.08492.45222.45223.46313.46313.06872.90402.90404.38504.3850
H92.31192.31191.08973.24332.30983.33082.90402.90404.26452.74934.3762
H102.31192.31193.24331.08973.33082.30982.90402.90404.26454.37622.7493
H113.49543.49542.32253.36781.08792.20334.38504.38502.74934.37622.7183
H123.49543.49543.36782.32252.20331.08794.38504.38504.37622.74932.7183

picture of Benzvalene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 61.517 C1 C2 C4 61.517
C1 C2 H8 136.771 C1 C3 C2 56.966
C1 C3 C5 108.410 C1 C3 H9 120.490
C1 C4 C2 56.966 C1 C4 C6 108.410
C1 C4 H10 120.490 C2 C1 C3 61.517
C2 C1 C4 61.517 C2 C1 H7 136.771
C2 C3 C5 108.410 C2 C3 H9 120.490
C2 C4 C6 108.410 C2 C4 H10 120.490
C3 C1 C4 89.093 C3 C1 H7 135.252
C3 C2 C4 89.093 C3 C2 H8 135.252
C3 C5 C6 105.994 C3 C5 H11 125.059
C4 C1 H7 135.252 C4 C2 H8 135.252
C4 C6 C5 105.994 C4 C6 H12 125.059
C5 C3 H9 123.684 C5 C6 H12 128.947
C6 C4 H10 123.684 C6 C5 H11 128.947
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.163      
2 C -0.163      
3 C -0.291      
4 C -0.291      
5 C -0.104      
6 C -0.104      
7 H 0.175      
8 H 0.175      
9 H 0.196      
10 H 0.196      
11 H 0.186      
12 H 0.186      


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 -0.956 0.956
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.619 0.000 0.000
y 0.000 -32.247 0.000
z 0.000 0.000 -32.517
Traceless
 xyz
x -5.238 0.000 0.000
y 0.000 2.821 0.000
z 0.000 0.000 2.417
Polar
3z2-r24.833
x2-y2-5.372
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.254 0.000 0.000
y 0.000 8.270 0.000
z 0.000 0.000 8.061


<r2> (average value of r2) Å2
<r2> 113.191
(<r2>)1/2 10.639