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

using model chemistry: mPW1PW91/cc-pVTZ

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/cc-pVTZ
 hartrees
Energy at 0K-232.143242
Energy at 298.15K-232.147285
HF Energy-232.143242
Nuclear repulsion energy177.286470
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/cc-pVTZ
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 3161 3032 0.00      
2 Ag 3134 3006 0.00      
3 Ag 2048 1964 0.00      
4 Ag 1510 1449 0.00      
5 Ag 1397 1340 0.00      
6 Ag 1178 1130 0.00      
7 Ag 1047 1004 0.00      
8 Ag 888 852 0.00      
9 Ag 545 523 0.00      
10 Ag 235 226 0.00      
11 Au 3209 3078 2.39      
12 Au 1010 968 0.81      
13 Au 931 893 36.97      
14 Au 492 472 2.70      
15 Au 360 345 12.73      
16 Au 85 82 0.55      
17 Bg 3209 3078 0.00      
18 Bg 1012 970 0.00      
19 Bg 901 865 0.00      
20 Bg 685 657 0.00      
21 Bg 323 310 0.00      
22 Bu 3171 3042 4.32      
23 Bu 3135 3007 13.86      
24 Bu 2071 1987 143.47      
25 Bu 1458 1399 1.10      
26 Bu 1269 1217 14.47      
27 Bu 1118 1073 2.23      
28 Bu 889 853 102.06      
29 Bu 553 531 32.59      
30 Bu 123 118 0.96      

Unscaled Zero Point Vibrational Energy (zpe) 20573.9 cm-1
Scaled (by 0.9592) Zero Point Vibrational Energy (zpe) 19734.5 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/cc-pVTZ
ABC
1.09158 0.04582 0.04478

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

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.324 0.653 0.000
C2 0.324 -0.653 0.000
C3 0.324 1.789 0.000
C4 -0.324 -1.789 0.000
C5 0.966 2.916 0.000
C6 -0.966 -2.916 0.000
H7 -1.408 0.671 0.000
H8 1.408 -0.671 0.000
H9 1.245 3.407 0.926
H10 1.245 3.407 -0.926
H11 -1.245 -3.407 0.926
H12 -1.245 -3.407 -0.926

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.45811.30722.44232.60443.62641.08492.18023.30123.30124.26484.2648
C21.45812.44231.30723.62642.60442.18021.08494.26484.26483.30123.3012
C31.30722.44233.63611.29714.87842.06182.68832.07902.07905.50565.5056
C42.44231.30723.63614.87841.29712.68832.06185.50565.50562.07902.0790
C52.60443.62641.29714.87846.14343.26793.61361.08421.08426.76156.7615
C63.62642.60444.87841.29716.14343.61363.26796.76156.76151.08421.0842
H71.08492.18022.06182.68833.26793.61363.12003.92193.92194.18444.1844
H82.18021.08492.68832.06183.61363.26793.12004.18444.18443.92193.9219
H93.30124.26482.07905.50561.08426.76153.92194.18441.85157.25397.4864
H103.30124.26482.07905.50561.08426.76153.92194.18441.85157.48647.2539
H114.26483.30125.50562.07906.76151.08424.18443.92197.25397.48641.8515
H124.26483.30125.50562.07906.76151.08424.18443.92197.48647.25391.8515

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 123.961 C1 C2 H8 117.276
C1 C3 C5 179.989 C2 C1 C3 123.961
C2 C1 H7 117.276 C2 C4 C6 179.989
C3 C1 H7 118.763 C3 C5 H9 121.367
C3 C5 H10 121.367 C4 C2 H8 118.763
C4 C6 H11 121.367 C4 C6 H12 121.367
H9 C5 H10 117.266 H11 C6 H12 117.266
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.089      
2 C -0.089      
3 C 0.039      
4 C 0.039      
5 C -0.314      
6 C -0.314      
7 H 0.124      
8 H 0.124      
9 H 0.120      
10 H 0.120      
11 H 0.120      
12 H 0.120      


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 -34.688 3.390 0.000
y 3.390 -30.947 0.000
z 0.000 0.000 -36.161
Traceless
 xyz
x -1.135 3.390 0.000
y 3.390 4.478 0.000
z 0.000 0.000 -3.343
Polar
3z2-r2-6.686
x2-y2-3.742
xy3.390
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.194 5.751 0.000
y 5.751 20.795 0.000
z 0.000 0.000 6.260


<r2> (average value of r2) Å2
<r2> 241.372
(<r2>)1/2 15.536