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All results from a given calculation for C6H6 (1,2,4,5-Hexatetraene)

using model chemistry: B3LYPultrafine/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 B3LYPultrafine/6-31G**
 hartrees
Energy at 0K-232.136680
Energy at 298.15K-232.140701
HF Energy-232.136680
Nuclear repulsion energy176.182057
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/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 3150 3026 0.00      
2 Ag 3125 3003 0.00      
3 Ag 2043 1963 0.00      
4 Ag 1517 1458 0.00      
5 Ag 1409 1354 0.00      
6 Ag 1177 1130 0.00      
7 Ag 1046 1005 0.00      
8 Ag 878 843 0.00      
9 Ag 540 519 0.00      
10 Ag 239 230 0.00      
11 Au 3197 3072 9.24      
12 Au 1019 979 0.11      
13 Au 930 894 29.84      
14 Au 491 471 2.42      
15 Au 367 353 7.78      
16 Au 87 83 0.33      
17 Bg 3197 3072 0.00      
18 Bg 1021 981 0.00      
19 Bg 895 860 0.00      
20 Bg 677 651 0.00      
21 Bg 332 319 0.00      
22 Bu 3159 3035 9.30      
23 Bu 3126 3003 24.90      
24 Bu 2068 1987 91.22      
25 Bu 1474 1416 0.52      
26 Bu 1279 1229 14.47      
27 Bu 1119 1075 2.06      
28 Bu 878 844 97.44      
29 Bu 554 532 21.50      
30 Bu 125 120 0.67      

Unscaled Zero Point Vibrational Energy (zpe) 20558.1 cm-1
Scaled (by 0.9608) Zero Point Vibrational Energy (zpe) 19752.2 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 B3LYPultrafine/6-31G**
ABC
1.08179 0.04521 0.04418

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/6-31G**

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.326 0.658 0.000
C2 0.326 -0.658 0.000
C3 0.326 1.801 0.000
C4 -0.326 -1.801 0.000
C5 0.972 2.935 0.000
C6 -0.972 -2.935 0.000
H7 -1.415 0.670 0.000
H8 1.415 -0.670 0.000
H9 1.254 3.432 0.927
H10 1.254 3.432 -0.927
H11 -1.254 -3.432 0.927
H12 -1.254 -3.432 -0.927

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.46821.31602.45922.62113.65071.08912.18923.32393.32394.29484.2948
C21.46822.45921.31603.65072.62112.18921.08914.29484.29483.32393.3239
C31.31602.45923.66101.30524.91112.07572.70072.09262.09265.54425.5442
C42.45921.31603.66104.91111.30522.70072.07575.54425.54422.09262.0926
C52.62113.65071.30524.91116.18393.29053.63231.08861.08866.80826.8082
C63.65072.62114.91111.30526.18393.63233.29056.80826.80821.08861.0886
H71.08912.18922.07572.70073.29053.63233.13083.95063.95064.20824.2082
H82.18921.08912.70072.07573.63233.29053.13084.20824.20823.95063.9506
H93.32394.29482.09265.54421.08866.80823.95064.20821.85367.30727.5387
H103.32394.29482.09265.54421.08866.80823.95064.20821.85367.53877.3072
H114.29483.32395.54422.09266.80821.08864.20823.95067.30727.53871.8536
H124.29483.32395.54422.09266.80821.08864.20823.95067.53877.30721.8536

picture of 1,2,4,5-Hexatetraene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 123.989 C1 C2 H8 116.982
C1 C3 C5 179.984 C2 C1 C3 123.989
C2 C1 H7 116.982 C2 C4 C6 179.984
C3 C1 H7 119.028 C3 C5 H9 121.635
C3 C5 H10 121.635 C4 C2 H8 119.028
C4 C6 H11 121.635 C4 C6 H12 121.635
H9 C5 H10 116.731 H11 C6 H12 116.731
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.228      
2 C -0.228      
3 C 0.273      
4 C 0.273      
5 C -0.414      
6 C -0.414      
7 H 0.116      
8 H 0.116      
9 H 0.126      
10 H 0.126      
11 H 0.126      
12 H 0.126      


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 -34.233 2.868 0.000
y 2.868 -31.045 0.000
z 0.000 0.000 -35.514
Traceless
 xyz
x -0.953 2.868 0.000
y 2.868 3.828 0.000
z 0.000 0.000 -2.875
Polar
3z2-r2-5.750
x2-y2-3.188
xy2.868
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.749 6.224 0.000
y 6.224 19.793 0.000
z 0.000 0.000 4.946


<r2> (average value of r2) Å2
<r2> 244.116
(<r2>)1/2 15.624