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

using model chemistry: B3PW91/6-31G(2df,p)

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(2df,p)
 hartrees
Energy at 0K-232.051553
Energy at 298.15K-232.055555
HF Energy-232.051553
Nuclear repulsion energy176.755996
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(2df,p)
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 3154 3032 0.00      
2 Ag 3129 3008 0.00      
3 Ag 2049 1970 0.00      
4 Ag 1504 1446 0.00      
5 Ag 1392 1338 0.00      
6 Ag 1176 1131 0.00      
7 Ag 1037 997 0.00      
8 Ag 877 843 0.00      
9 Ag 542 521 0.00      
10 Ag 234 225 0.00      
11 Au 3203 3080 3.99      
12 Au 1004 965 0.32      
13 Au 931 895 30.20      
14 Au 489 471 2.55      
15 Au 361 347 8.39      
16 Au 86 83 0.40      
17 Bg 3203 3079 0.00      
18 Bg 1006 968 0.00      
19 Bg 897 862 0.00      
20 Bg 681 655 0.00      
21 Bg 326 314 0.00      
22 Bu 3163 3041 6.28      
23 Bu 3129 3008 17.59      
24 Bu 2074 1994 104.98      
25 Bu 1454 1398 0.37      
26 Bu 1263 1215 13.14      
27 Bu 1115 1072 1.72      
28 Bu 878 844 93.93      
29 Bu 549 528 24.04      
30 Bu 122 117 0.73      

Unscaled Zero Point Vibrational Energy (zpe) 20514.9 cm-1
Scaled (by 0.9614) Zero Point Vibrational Energy (zpe) 19723.0 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 B3PW91/6-31G(2df,p)
ABC
1.08822 0.04553 0.04450

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31G(2df,p)

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.324 0.655 0.000
C2 0.324 -0.655 0.000
C3 0.324 1.795 0.000
C4 -0.324 -1.795 0.000
C5 0.968 2.925 0.000
C6 -0.968 -2.925 0.000
H7 -1.412 0.668 0.000
H8 1.412 -0.668 0.000
H9 1.249 3.421 0.927
H10 1.249 3.421 -0.927
H11 -1.249 -3.421 0.927
H12 -1.249 -3.421 -0.927

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.46151.31142.45012.61173.63731.08852.18303.31403.31404.28114.2811
C21.46152.45011.31143.63732.61172.18301.08854.28114.28113.31403.3140
C31.31142.45013.64821.30034.89362.07012.69302.08742.08745.52635.5263
C42.45011.31143.64824.89361.30032.69302.07015.52635.52632.08742.0874
C52.61173.63731.30034.89366.16173.28003.62041.08801.08806.78556.7855
C63.63732.61174.89361.30036.16173.62043.28006.78556.78551.08801.0880
H71.08852.18302.07012.69303.28003.62043.12493.93943.93944.19604.1960
H82.18301.08852.69302.07013.62043.28003.12494.19604.19603.93943.9394
H93.31404.28112.08745.52631.08806.78553.93944.19601.85327.28377.5157
H103.31404.28112.08745.52631.08806.78553.93944.19601.85327.51577.2837
H114.28113.31405.52632.08746.78551.08804.19603.93947.28377.51571.8532
H124.28113.31405.52632.08746.78551.08804.19603.93947.51577.28371.8532

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 124.076 C1 C2 H8 117.004
C1 C3 C5 179.930 C2 C1 C3 124.076
C2 C1 H7 117.004 C2 C4 C6 179.930
C3 C1 H7 118.920 C3 C5 H9 121.605
C3 C5 H10 121.605 C4 C2 H8 118.920
C4 C6 H11 121.605 C4 C6 H12 121.605
H9 C5 H10 116.789 H11 C6 H12 116.789
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.340      
2 C -0.340      
3 C 0.392      
4 C 0.392      
5 C -0.529      
6 C -0.529      
7 H 0.152      
8 H 0.152      
9 H 0.163      
10 H 0.163      
11 H 0.163      
12 H 0.163      


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 -33.936 3.104 0.000
y 3.104 -30.527 0.000
z 0.000 0.000 -35.300
Traceless
 xyz
x -1.022 3.104 0.000
y 3.104 4.091 0.000
z 0.000 0.000 -3.069
Polar
3z2-r2-6.137
x2-y2-3.409
xy3.104
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.185 5.889 0.000
y 5.889 20.004 0.000
z 0.000 0.000 5.524


<r2> (average value of r2) Å2
<r2> 242.375
(<r2>)1/2 15.568