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All results from a given calculation for C6H6 (Benzvalene)

using model chemistry: B3LYPultrafine/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 B3LYPultrafine/3-21G
 hartrees
Energy at 0K-230.831826
Energy at 298.15K-230.838245
HF Energy-230.831826
Nuclear repulsion energy212.273171
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 B3LYPultrafine/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 3281 3166 0.01      
2 A1 3272 3157 15.90      
3 A1 3236 3123 1.20      
4 A1 1620 1563 2.31      
5 A1 1357 1309 0.34      
6 A1 1172 1131 1.24      
7 A1 1137 1097 4.56      
8 A1 1003 968 0.37      
9 A1 896 864 0.99      
10 A1 806 777 11.08      
11 A1 721 696 0.28      
12 A2 1143 1103 0.00      
13 A2 953 919 0.00      
14 A2 938 905 0.00      
15 A2 746 720 0.00      
16 A2 538 519 0.00      
17 B1 3252 3138 7.90      
18 B1 1126 1087 30.06      
19 B1 1032 996 0.25      
20 B1 762 735 93.48      
21 B1 631 609 1.85      
22 B1 517 499 13.67      
23 B2 3250 3136 7.79      
24 B2 3236 3122 9.30      
25 B2 1351 1304 8.54      
26 B2 1280 1235 0.00      
27 B2 1190 1148 3.17      
28 B2 980 946 0.00      
29 B2 875 845 0.12      
30 B2 820 791 14.37      

Unscaled Zero Point Vibrational Energy (zpe) 21560.6 cm-1
Scaled (by 0.9649) Zero Point Vibrational Energy (zpe) 20803.9 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 B3LYPultrafine/3-21G
ABC
0.24163 0.17298 0.12792

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/3-21G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.738 0.000 -1.025
C2 -0.738 0.000 -1.025
C3 0.000 1.091 -0.200
C4 0.000 -1.091 -0.200
C5 0.000 0.670 1.257
C6 0.000 -0.670 1.257
H7 1.521 0.000 -1.762
H8 -1.521 0.000 -1.762
H9 0.000 2.122 -0.524
H10 0.000 -2.122 -0.524
H11 0.000 1.348 2.096
H12 0.000 -1.348 2.096

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.47511.55351.55352.48962.48961.07592.37602.30122.30123.47853.4785
C21.47511.55351.55352.48962.48962.37601.07592.30122.30123.47853.4785
C31.55351.55352.18121.51652.28502.43782.43781.08073.22842.31053.3495
C41.55351.55352.18122.28501.51652.43782.43783.22841.08073.34952.3105
C52.48962.48961.51652.28501.33953.44613.44612.29773.31101.07912.1854
C62.48962.48962.28501.51651.33953.44613.44613.31102.29772.18541.0791
H71.07592.37602.43782.43783.44613.44613.04232.88922.88924.36064.3606
H82.37601.07592.43782.43783.44613.44613.04232.88922.88924.36064.3606
H92.30122.30121.08073.22842.29773.31102.88922.88924.24312.73194.3478
H102.30122.30123.22841.08073.31102.29772.88922.88924.24314.34782.7319
H113.47853.47852.31053.34951.07912.18544.36064.36062.73194.34782.6962
H123.47853.47853.34952.31052.18541.07914.36064.36064.34782.73192.6962

picture of Benzvalene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 61.656 C1 C2 C4 61.656
C1 C2 H8 136.747 C1 C3 C2 56.688
C1 C3 C5 108.370 C1 C3 H9 120.703
C1 C4 C2 56.688 C1 C4 C6 108.370
C1 C4 H10 120.703 C2 C1 C3 61.656
C2 C1 C4 61.656 C2 C1 H7 136.747
C2 C3 C5 108.370 C2 C3 H9 120.703
C2 C4 C6 108.370 C2 C4 H10 120.703
C3 C1 C4 89.178 C3 C1 H7 135.196
C3 C2 C4 89.178 C3 C2 H8 135.196
C3 C5 C6 106.112 C3 C5 H11 124.937
C4 C1 H7 135.196 C4 C2 H8 135.196
C4 C6 C5 106.112 C4 C6 H12 124.937
C5 C3 H9 123.558 C5 C6 H12 128.951
C6 C4 H10 123.558 C6 C5 H11 128.951
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.158      
2 C -0.158      
3 C -0.269      
4 C -0.269      
5 C -0.097      
6 C -0.097      
7 H 0.165      
8 H 0.165      
9 H 0.182      
10 H 0.182      
11 H 0.177      
12 H 0.177      


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 -0.933 0.933
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.587 0.000 0.000
y 0.000 -32.396 0.000
z 0.000 0.000 -32.652
Traceless
 xyz
x -5.063 0.000 0.000
y 0.000 2.724 0.000
z 0.000 0.000 2.340
Polar
3z2-r24.679
x2-y2-5.191
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.117 0.000 0.000
y 0.000 8.149 0.000
z 0.000 0.000 7.795


<r2> (average value of r2) Å2
<r2> 112.396
(<r2>)1/2 10.602