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

using model chemistry: B3LYP/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 B3LYP/3-21G
 hartrees
Energy at 0K-230.854691
Energy at 298.15K-230.858731
HF Energy-230.854691
Nuclear repulsion energy176.358485
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 B3LYP/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 3149 3038 0.00      
2 Ag 3122 3013 0.00      
3 Ag 2046 1974 0.00      
4 Ag 1535 1481 0.00      
5 Ag 1439 1388 0.00      
6 Ag 1187 1145 0.00      
7 Ag 1037 1000 0.00      
8 Ag 919 887 0.00      
9 Ag 546 527 0.00      
10 Ag 232 224 0.00      
11 Au 3187 3075 8.62      
12 Au 1061 1024 1.16      
13 Au 948 915 46.90      
14 Au 495 478 4.58      
15 Au 346 333 12.45      
16 Au 86 83 0.53      
17 Bg 3187 3075 0.00      
18 Bg 1063 1026 0.00      
19 Bg 920 888 0.00      
20 Bg 693 668 0.00      
21 Bg 311 300 0.00      
22 Bu 3160 3049 8.35      
23 Bu 3123 3013 15.75      
24 Bu 2075 2002 82.49      
25 Bu 1514 1461 0.52      
26 Bu 1325 1279 6.45      
27 Bu 1130 1091 3.79      
28 Bu 919 887 133.75      
29 Bu 550 530 24.60      
30 Bu 124 120 0.88      

Unscaled Zero Point Vibrational Energy (zpe) 20713.1 cm-1
Scaled (by 0.9649) Zero Point Vibrational Energy (zpe) 19986.1 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 B3LYP/3-21G
ABC
1.07355 0.04537 0.04432

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/3-21G

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.327 0.660 0.000
C2 0.327 -0.660 0.000
C3 0.327 1.798 0.000
C4 -0.327 -1.798 0.000
C5 0.981 2.926 0.000
C6 -0.981 -2.926 0.000
H7 -1.415 0.664 0.000
H8 1.415 -0.664 0.000
H9 1.268 3.422 0.925
H10 1.268 3.422 -0.925
H11 -1.268 -3.422 0.925
H12 -1.268 -3.422 -0.925

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.47301.31332.45832.61633.64461.08812.18853.32123.32124.28994.2899
C21.47302.45831.31333.64462.61632.18851.08814.28994.28993.32123.3212
C31.31332.45833.65591.30304.90192.07922.69232.09212.09215.53675.5367
C42.45831.31333.65594.90191.30302.69232.07925.53675.53672.09212.0921
C52.61633.64461.30304.90196.17143.29493.61601.08821.08826.79766.7976
C63.64462.61634.90191.30306.17143.61603.29496.79766.79761.08821.0882
H71.08812.18852.07922.69233.29493.61603.12693.95753.95754.19244.1924
H82.18851.08812.69232.07923.61603.29493.12694.19244.19243.95753.9575
H93.32124.28992.09215.53671.08826.79763.95754.19241.84977.29917.5298
H103.32124.28992.09215.53671.08826.79763.95754.19241.84977.52987.2991
H114.28993.32125.53672.09216.79761.08824.19243.95757.29917.52981.8497
H124.28993.32125.53672.09216.79761.08824.19243.95757.52987.29911.8497

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 123.731 C1 C2 H8 116.607
C1 C3 C5 179.780 C2 C1 C3 123.731
C2 C1 H7 116.607 C2 C4 C6 179.780
C3 C1 H7 119.662 C3 C5 H9 121.805
C3 C5 H10 121.805 C4 C2 H8 119.662
C4 C6 H11 121.805 C4 C6 H12 121.805
H9 C5 H10 116.391 H11 C6 H12 116.391
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.321      
2 C -0.321      
3 C 0.161      
4 C 0.161      
5 C -0.485      
6 C -0.485      
7 H 0.218      
8 H 0.218      
9 H 0.213      
10 H 0.213      
11 H 0.213      
12 H 0.213      


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 -34.392 3.571 0.000
y 3.571 -30.502 0.000
z 0.000 0.000 -36.405
Traceless
 xyz
x -0.938 3.571 0.000
y 3.571 4.896 0.000
z 0.000 0.000 -3.958
Polar
3z2-r2-7.916
x2-y2-3.890
xy3.571
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.069 6.334 0.000
y 6.334 18.784 0.000
z 0.000 0.000 4.201


<r2> (average value of r2) Å2
<r2> 243.543
(<r2>)1/2 15.606