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

using model chemistry: B3PW91/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2H 1Ag
Energy calculated at B3PW91/6-31G*
 hartrees
Energy at 0K-232.031660
Energy at 298.15K-232.035661
HF Energy-232.031660
Nuclear repulsion energy176.276548
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 B3PW91/6-31G*
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 3168 3031 0.00      
2 Ag 3144 3008 0.00      
3 Ag 2054 1965 0.00      
4 Ag 1524 1458 0.00      
5 Ag 1415 1354 0.00      
6 Ag 1187 1136 0.00      
7 Ag 1052 1007 0.00      
8 Ag 876 838 0.00      
9 Ag 542 519 0.00      
10 Ag 238 227 0.00      
11 Au 3215 3076 8.00      
12 Au 1022 978 0.00      
13 Au 931 890 35.25      
14 Au 490 469 2.98      
15 Au 366 351 9.31      
16 Au 87 83 0.41      
17 Bg 3215 3076 0.00      
18 Bg 1024 980 0.00      
19 Bg 895 856 0.00      
20 Bg 678 649 0.00      
21 Bg 331 317 0.00      
22 Bu 3177 3039 8.12      
23 Bu 3144 3008 25.68      
24 Bu 2078 1988 96.32      
25 Bu 1478 1414 0.41      
26 Bu 1283 1228 12.56      
27 Bu 1125 1076 2.49      
28 Bu 877 839 113.53      
29 Bu 554 530 22.69      
30 Bu 124 119 0.75      

Unscaled Zero Point Vibrational Energy (zpe) 20648.3 cm-1
Scaled (by 0.9567) Zero Point Vibrational Energy (zpe) 19754.2 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 B3PW91/6-31G*
ABC
1.08188 0.04529 0.04426

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31G*

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.326 0.656 0.000
C2 0.326 -0.656 0.000
C3 0.326 1.799 0.000
C4 -0.326 -1.799 0.000
C5 0.973 2.932 0.000
C6 -0.973 -2.932 0.000
H7 -1.416 0.668 0.000
H8 1.416 -0.668 0.000
H9 1.255 3.430 0.927
H10 1.255 3.430 -0.927
H11 -1.255 -3.430 0.927
H12 -1.255 -3.430 -0.927

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.46441.31592.45472.62093.64601.08982.18713.32463.32464.29104.2910
C21.46442.45471.31593.64602.62092.18711.08984.29104.29103.32463.3246
C31.31592.45473.65651.30504.90632.07652.69662.09342.09345.54045.5404
C42.45471.31593.65654.90631.30502.69662.07655.54045.54042.09342.0934
C52.62093.64601.30504.90636.17903.29123.62721.08961.08966.80426.8042
C63.64602.62094.90631.30506.17903.62723.29126.80426.80421.08961.0896
H71.08982.18712.07652.69663.29123.62723.13013.95233.95234.20394.2039
H82.18711.08982.69662.07653.62723.29123.13014.20394.20393.95233.9523
H93.32464.29102.09345.54041.08966.80423.95234.20391.85507.30397.5358
H103.32464.29102.09345.54041.08966.80423.95234.20391.85507.53587.3039
H114.29103.32465.54042.09346.80421.08964.20393.95237.30397.53581.8550
H124.29103.32465.54042.09346.80421.08964.20393.95237.53587.30391.8550

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 123.903 C1 C2 H8 117.044
C1 C3 C5 179.968 C2 C1 C3 123.903
C2 C1 H7 117.044 C2 C4 C6 179.968
C3 C1 H7 119.053 C3 C5 H9 121.652
C3 C5 H10 121.652 C4 C2 H8 119.053
C4 C6 H11 121.652 C4 C6 H12 121.652
H9 C5 H10 116.695 H11 C6 H12 116.695
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.319      
2 C -0.319      
3 C 0.320      
4 C 0.320      
5 C -0.578      
6 C -0.578      
7 H 0.192      
8 H 0.192      
9 H 0.193      
10 H 0.193      
11 H 0.193      
12 H 0.193      


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 -33.972 3.164 0.000
y 3.164 -30.434 0.000
z 0.000 0.000 -35.429
Traceless
 xyz
x -1.040 3.164 0.000
y 3.164 4.266 0.000
z 0.000 0.000 -3.226
Polar
3z2-r2-6.451
x2-y2-3.538
xy3.164
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.670 6.200 0.000
y 6.200 19.695 0.000
z 0.000 0.000 4.892


<r2> (average value of r2) Å2
<r2> 243.554
(<r2>)1/2 15.606