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: B3LYP/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 B3LYP/TZVP
 hartrees
Energy at 0K-232.212273
Energy at 298.15K-232.216290
HF Energy-232.212273
Nuclear repulsion energy176.804427
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 B3LYP/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 3134 3026 0.00      
2 Ag 3110 3003 0.00      
3 Ag 2023 1953 0.00      
4 Ag 1505 1453 0.00      
5 Ag 1402 1353 0.00      
6 Ag 1172 1131 0.00      
7 Ag 1037 1002 0.00      
8 Ag 890 859 0.00      
9 Ag 540 521 0.00      
10 Ag 235 227 0.00      
11 Au 3179 3069 4.29      
12 Au 1017 982 0.42      
13 Au 929 896 37.69      
14 Au 493 476 2.55      
15 Au 355 343 15.21      
16 Au 84 81 0.57      
17 Bg 3179 3069 0.00      
18 Bg 1019 984 0.00      
19 Bg 899 868 0.00      
20 Bg 680 657 0.00      
21 Bg 318 307 0.00      
22 Bu 3144 3036 5.17      
23 Bu 3111 3003 19.54      
24 Bu 2049 1978 132.05      
25 Bu 1464 1413 0.70      
26 Bu 1278 1234 14.93      
27 Bu 1114 1076 3.25      
28 Bu 891 860 112.05      
29 Bu 551 532 34.07      
30 Bu 125 120 1.07      

Unscaled Zero Point Vibrational Energy (zpe) 20463.0 cm-1
Scaled (by 0.9654) Zero Point Vibrational Energy (zpe) 19755.0 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 B3LYP/TZVP
ABC
1.08834 0.04553 0.04449

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/TZVP

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.324 0.657 0.000
C2 0.324 -0.657 0.000
C3 0.324 1.796 0.000
C4 -0.324 -1.796 0.000
C5 0.968 2.925 0.000
C6 -0.968 -2.925 0.000
H7 -1.410 0.672 0.000
H8 1.410 -0.672 0.000
H9 1.248 3.419 0.925
H10 1.248 3.419 -0.925
H11 -1.248 -3.419 0.925
H12 -1.248 -3.419 -0.925

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.46491.30992.45252.60983.63911.08672.18483.31003.31004.28074.2807
C21.46492.45251.30993.63912.60982.18481.08674.28074.28073.31003.3100
C31.30992.45253.64901.29994.89382.06652.69602.08482.08485.52445.5244
C42.45251.30993.64904.89381.29992.69602.06655.52445.52442.08482.0848
C52.60983.63911.29994.89386.16143.27593.62371.08601.08606.78316.7831
C63.63912.60984.89381.29996.16143.62373.27596.78316.78311.08601.0860
H71.08672.18482.06652.69603.27593.62373.12453.93333.93334.19744.1974
H82.18481.08672.69602.06653.62373.27593.12454.19744.19743.93333.9333
H93.31004.28072.08485.52441.08606.78313.93334.19741.85097.27957.5111
H103.31004.28072.08485.52441.08606.78313.93334.19741.85097.51117.2795
H114.28073.31005.52442.08486.78311.08604.19743.93337.27957.51111.8509
H124.28073.31005.52442.08486.78311.08604.19743.93337.51117.27951.8509

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 124.127 C1 C2 H8 117.024
C1 C3 C5 179.935 C2 C1 C3 124.127
C2 C1 H7 117.024 C2 C4 C6 179.935
C3 C1 H7 118.849 C3 C5 H9 121.550
C3 C5 H10 121.550 C4 C2 H8 118.849
C4 C6 H11 121.550 C4 C6 H12 121.550
H9 C5 H10 116.899 H11 C6 H12 116.899
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.188      
2 C -0.188      
3 C 0.041      
4 C 0.041      
5 C -0.282      
6 C -0.282      
7 H 0.151      
8 H 0.151      
9 H 0.139      
10 H 0.139      
11 H 0.139      
12 H 0.139      


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 -35.359 3.298 0.000
y 3.298 -31.771 0.000
z 0.000 0.000 -36.724
Traceless
 xyz
x -1.111 3.298 0.000
y 3.298 4.270 0.000
z 0.000 0.000 -3.159
Polar
3z2-r2-6.317
x2-y2-3.587
xy3.298
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.363 5.947 0.000
y 5.947 21.174 0.000
z 0.000 0.000 6.329


<r2> (average value of r2) Å2
<r2> 243.192
(<r2>)1/2 15.595