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

using model chemistry: HSEh1PBE/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 HSEh1PBE/STO-3G
 hartrees
Energy at 0K-229.008151
Energy at 298.15K-229.011869
HF Energy-229.008151
Nuclear repulsion energy175.313671
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 HSEh1PBE/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 3459 3054 0.00      
2 Ag 3402 3004 0.00      
3 Ag 2205 1948 0.00      
4 Ag 1636 1444 0.00      
5 Ag 1515 1338 0.00      
6 Ag 1249 1103 0.00      
7 Ag 1106 977 0.00      
8 Ag 956 845 0.00      
9 Ag 562 497 0.00      
10 Ag 238 210 0.00      
11 Au 3535 3122 5.17      
12 Au 1097 969 0.79      
13 Au 1004 887 22.12      
14 Au 506 447 3.54      
15 Au 360 318 2.87      
16 Au 83 73 0.18      
17 Bg 3535 3122 0.00      
18 Bg 1100 971 0.00      
19 Bg 964 851 0.00      
20 Bg 721 637 0.00      
21 Bg 329 291 0.00      
22 Bu 3464 3059 35.78      
23 Bu 3402 3004 63.87      
24 Bu 2243 1981 5.16      
25 Bu 1601 1414 4.22      
26 Bu 1369 1209 7.46      
27 Bu 1192 1053 1.28      
28 Bu 957 845 64.70      
29 Bu 565 499 8.80      
30 Bu 126 111 0.43      

Unscaled Zero Point Vibrational Energy (zpe) 22239.4 cm-1
Scaled (by 0.8831) Zero Point Vibrational Energy (zpe) 19639.6 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 HSEh1PBE/STO-3G
ABC
1.05592 0.04487 0.04382

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/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 1.810 0.000
C4 -0.330 -1.810 0.000
C5 0.986 2.940 0.000
C6 -0.986 -2.940 0.000
H7 -1.429 0.670 0.000
H8 1.429 -0.670 0.000
H9 1.277 3.444 0.930
H10 1.277 3.444 -0.930
H11 -1.277 -3.444 0.930
H12 -1.277 -3.444 -0.930

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.48861.31932.47672.62613.66611.09942.20973.34073.34074.32044.3204
C21.48862.47671.31933.66612.62612.20971.09944.32044.32043.34073.3407
C31.31932.47673.67881.30684.92832.09622.71222.10592.10595.57235.5723
C42.47671.31933.67884.92831.30682.71222.09625.57235.57232.10592.1059
C52.62613.66611.30684.92836.20153.31453.63681.09761.09766.83696.8369
C63.66612.62614.92831.30686.20153.63683.31456.83696.83691.09761.0976
H71.09942.20972.09622.71223.31453.63683.15703.98593.98594.22074.2207
H82.20971.09942.71222.09623.63683.31453.15704.22074.22073.98593.9859
H93.34074.32042.10595.57231.09766.83693.98594.22071.86067.34687.5787
H103.34074.32042.10595.57231.09766.83693.98594.22071.86067.57877.3468
H114.32043.34075.57232.10596.83691.09764.22073.98597.34687.57871.8606
H124.32043.34075.57232.10596.83691.09764.22073.98597.57877.34681.8606

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 123.668 C1 C2 H8 116.459
C1 C3 C5 179.887 C2 C1 C3 123.668
C2 C1 H7 116.459 C2 C4 C6 179.887
C3 C1 H7 119.873 C3 C5 H9 122.049
C3 C5 H10 122.049 C4 C2 H8 119.873
C4 C6 H11 122.049 C4 C6 H12 122.049
H9 C5 H10 115.903 H11 C6 H12 115.903
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.107      
2 C -0.107      
3 C 0.006      
4 C 0.006      
5 C -0.195      
6 C -0.195      
7 H 0.101      
8 H 0.101      
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 -31.782 2.319 0.000
y 2.319 -29.349 0.000
z 0.000 0.000 -32.990
Traceless
 xyz
x -0.612 2.319 0.000
y 2.319 3.037 0.000
z 0.000 0.000 -2.425
Polar
3z2-r2-4.849
x2-y2-2.433
xy2.319
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.587 4.958 0.000
y 4.958 13.723 0.000
z 0.000 0.000 2.246


<r2> (average value of r2) Å2
<r2> 244.637
(<r2>)1/2 15.641