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

using model chemistry: PBE1PBE/STO-3G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2H 1Ag
Energy calculated at PBE1PBE/STO-3G
 hartrees
Energy at 0K-228.987322
Energy at 298.15K-228.991045
HF Energy-228.987322
Nuclear repulsion energy175.364374
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 PBE1PBE/STO-3G
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 3463 3054 0.00      
2 Ag 3406 3004 0.00      
3 Ag 2211 1951 0.00      
4 Ag 1637 1444 0.00      
5 Ag 1516 1337 0.00      
6 Ag 1250 1103 0.00      
7 Ag 1107 977 0.00      
8 Ag 959 846 0.00      
9 Ag 563 497 0.00      
10 Ag 238 210 0.00      
11 Au 3539 3122 5.64      
12 Au 1098 969 0.85      
13 Au 1005 887 22.26      
14 Au 507 447 3.59      
15 Au 360 318 2.92      
16 Au 82 72 0.18      
17 Bg 3539 3122 0.00      
18 Bg 1100 971 0.00      
19 Bg 966 852 0.00      
20 Bg 722 637 0.00      
21 Bg 330 291 0.00      
22 Bu 3468 3059 36.86      
23 Bu 3406 3004 66.26      
24 Bu 2247 1982 5.26      
25 Bu 1602 1413 4.04      
26 Bu 1370 1208 7.31      
27 Bu 1194 1053 1.31      
28 Bu 959 846 65.10      
29 Bu 566 499 8.80      
30 Bu 126 111 0.43      

Unscaled Zero Point Vibrational Energy (zpe) 22267.4 cm-1
Scaled (by 0.8821) Zero Point Vibrational Energy (zpe) 19642.0 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 PBE1PBE/STO-3G
ABC
1.05581 0.04490 0.04385

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/STO-3G

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.330 0.667 0.000
C2 0.330 -0.667 0.000
C3 0.330 1.809 0.000
C4 -0.330 -1.809 0.000
C5 0.986 2.939 0.000
C6 -0.986 -2.939 0.000
H7 -1.429 0.670 0.000
H8 1.429 -0.670 0.000
H9 1.277 3.443 0.930
H10 1.277 3.443 -0.930
H11 -1.277 -3.443 0.930
H12 -1.277 -3.443 -0.930

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.48841.31882.47582.62543.66491.09912.20963.33953.33954.31884.3188
C21.48842.47581.31883.66492.62542.20961.09914.31884.31883.33953.3395
C31.31882.47583.67731.30654.92652.09552.71162.10522.10525.57015.5701
C42.47581.31883.67734.92651.30652.71162.09555.57015.57012.10522.1052
C52.62543.66491.30654.92656.19943.31363.63591.09731.09736.83446.8344
C63.66492.62544.92651.30656.19943.63593.31366.83446.83441.09731.0973
H71.09912.20962.09552.71163.31363.63593.15683.98453.98454.21934.2193
H82.20961.09912.71162.09553.63593.31363.15684.21934.21933.98453.9845
H93.33954.31882.10525.57011.09736.83443.98454.21931.86057.34377.5758
H103.33954.31882.10525.57011.09736.83443.98454.21931.86057.57587.3437
H114.31883.33955.57012.10526.83441.09734.21933.98457.34377.57581.8605
H124.31883.33955.57012.10526.83441.09734.21933.98457.57587.34371.8605

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 123.644 C1 C2 H8 116.483
C1 C3 C5 179.890 C2 C1 C3 123.644
C2 C1 H7 116.483 C2 C4 C6 179.890
C3 C1 H7 119.873 C3 C5 H9 122.028
C3 C5 H10 122.028 C4 C2 H8 119.873
C4 C6 H11 122.028 C4 C6 H12 122.028
H9 C5 H10 115.943 H11 C6 H12 115.943
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.108      
2 C -0.108      
3 C 0.006      
4 C 0.006      
5 C -0.197      
6 C -0.197      
7 H 0.102      
8 H 0.102      
9 H 0.098      
10 H 0.098      
11 H 0.098      
12 H 0.098      


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 -31.767 2.325 0.000
y 2.325 -29.332 0.000
z 0.000 0.000 -32.978
Traceless
 xyz
x -0.611 2.325 0.000
y 2.325 3.041 0.000
z 0.000 0.000 -2.429
Polar
3z2-r2-4.859
x2-y2-2.435
xy2.325
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.575 4.938 0.000
y 4.938 13.637 0.000
z 0.000 0.000 2.241


<r2> (average value of r2) Å2
<r2> 244.474
(<r2>)1/2 15.636