return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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

using model chemistry: mPW1PW91/TZVP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2H 1Ag
Energy calculated at mPW1PW91/TZVP
 hartrees
Energy at 0K-232.138892
Energy at 298.15K-232.142930
HF Energy-232.138892
Nuclear repulsion energy177.179823
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 mPW1PW91/TZVP
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 3166 3020 0.00      
2 Ag 3138 2994 0.00      
3 Ag 2053 1959 0.00      
4 Ag 1513 1443 0.00      
5 Ag 1401 1336 0.00      
6 Ag 1181 1126 0.00      
7 Ag 1048 999 0.00      
8 Ag 892 851 0.00      
9 Ag 546 521 0.00      
10 Ag 236 225 0.00      
11 Au 3214 3066 1.84      
12 Au 1013 967 0.28      
13 Au 931 888 38.63      
14 Au 493 471 2.59      
15 Au 359 342 16.24      
16 Au 84 80 0.59      
17 Bg 3214 3066 0.00      
18 Bg 1015 968 0.00      
19 Bg 901 860 0.00      
20 Bg 685 653 0.00      
21 Bg 322 307 0.00      
22 Bu 3175 3029 4.50      
23 Bu 3139 2994 13.25      
24 Bu 2077 1981 143.22      
25 Bu 1462 1395 1.47      
26 Bu 1274 1215 13.59      
27 Bu 1122 1070 2.58      
28 Bu 893 852 114.88      
29 Bu 554 529 35.25      
30 Bu 124 118 1.15      

Unscaled Zero Point Vibrational Energy (zpe) 20610.5 cm-1
Scaled (by 0.954) Zero Point Vibrational Energy (zpe) 19662.4 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 mPW1PW91/TZVP
ABC
1.08895 0.04577 0.04473

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/TZVP

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.324 0.654 0.000
C2 0.324 -0.654 0.000
C3 0.324 1.790 0.000
C4 -0.324 -1.790 0.000
C5 0.968 2.917 0.000
C6 -0.968 -2.917 0.000
H7 -1.410 0.671 0.000
H8 1.410 -0.671 0.000
H9 1.247 3.408 0.926
H10 1.247 3.408 -0.926
H11 -1.247 -3.408 0.926
H12 -1.247 -3.408 -0.926

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.45961.30772.44382.60543.62811.08612.18223.30353.30354.26774.2677
C21.45962.44381.30773.62812.60542.18221.08614.26774.26773.30353.3035
C31.30772.44383.63791.29774.88052.06352.68992.08092.08095.50895.5089
C42.44381.30773.63794.88051.29772.68992.06355.50895.50892.08092.0809
C52.60543.62811.29774.88056.14603.27053.61481.08541.08546.76536.7653
C63.62812.60544.88051.29776.14603.61483.27056.76536.76531.08541.0854
H71.08612.18222.06352.68993.27053.61483.12293.92563.92564.18654.1865
H82.18221.08612.68992.06353.61483.27053.12294.18654.18653.92563.9256
H93.30354.26772.08095.50891.08546.76533.92564.18651.85277.25887.4915
H103.30354.26772.08095.50891.08546.76533.92564.18651.85277.49157.2588
H114.26773.30355.50892.08096.76531.08544.18653.92567.25887.49151.8527
H124.26773.30355.50892.08096.76531.08544.18653.92567.49157.25881.8527

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 123.949 C1 C2 H8 117.256
C1 C3 C5 179.952 C2 C1 C3 123.949
C2 C1 H7 117.256 C2 C4 C6 179.952
C3 C1 H7 118.795 C3 C5 H9 121.405
C3 C5 H10 121.405 C4 C2 H8 118.795
C4 C6 H11 121.405 C4 C6 H12 121.405
H9 C5 H10 117.190 H11 C6 H12 117.190
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.193      
2 C -0.193      
3 C 0.063      
4 C 0.063      
5 C -0.314      
6 C -0.314      
7 H 0.155      
8 H 0.155      
9 H 0.145      
10 H 0.145      
11 H 0.145      
12 H 0.145      


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 -34.830 3.454 0.000
y 3.454 -31.052 0.000
z 0.000 0.000 -36.306
Traceless
 xyz
x -1.151 3.454 0.000
y 3.454 4.516 0.000
z 0.000 0.000 -3.365
Polar
3z2-r2-6.731
x2-y2-3.778
xy3.454
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.203 5.874 0.000
y 5.874 20.778 0.000
z 0.000 0.000 6.234


<r2> (average value of r2) Å2
<r2> 241.686
(<r2>)1/2 15.546