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

using model chemistry: B3LYPultrafine/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 B3LYPultrafine/TZVP
 hartrees
Energy at 0K-232.212264
Energy at 298.15K-232.216276
HF Energy-232.212264
Nuclear repulsion energy176.805604
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 B3LYPultrafine/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 3133 3018 0.00      
2 Ag 3109 2996 0.00      
3 Ag 2023 1949 0.00      
4 Ag 1505 1450 0.00      
5 Ag 1402 1350 0.00      
6 Ag 1172 1129 0.00      
7 Ag 1037 1000 0.00      
8 Ag 890 857 0.00      
9 Ag 540 520 0.00      
10 Ag 235 226 0.00      
11 Au 3178 3062 4.28      
12 Au 1017 980 0.42      
13 Au 927 893 37.51      
14 Au 492 474 2.55      
15 Au 354 341 15.27      
16 Au 83 80 0.57      
17 Bg 3178 3062 0.00      
18 Bg 1019 982 0.00      
19 Bg 897 864 0.00      
20 Bg 680 655 0.00      
21 Bg 317 305 0.00      
22 Bu 3143 3028 5.17      
23 Bu 3110 2996 19.53      
24 Bu 2049 1974 131.96      
25 Bu 1464 1410 0.70      
26 Bu 1278 1231 14.89      
27 Bu 1114 1074 3.26      
28 Bu 891 858 112.04      
29 Bu 551 531 34.06      
30 Bu 124 120 1.07      

Unscaled Zero Point Vibrational Energy (zpe) 20455.9 cm-1
Scaled (by 0.9634) Zero Point Vibrational Energy (zpe) 19707.2 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 B3LYPultrafine/TZVP
ABC
1.08808 0.04553 0.04450

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/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
C11.46491.30992.45252.60983.63901.08662.18483.31003.31004.28064.2806
C21.46492.45251.30993.63902.60982.18481.08664.28064.28063.31003.3100
C31.30992.45253.64901.29994.89372.06652.69602.08482.08485.52435.5243
C42.45251.30993.64904.89371.29992.69602.06655.52435.52432.08482.0848
C52.60983.63901.29994.89376.16123.27603.62351.08601.08606.78296.7829
C63.63902.60984.89371.29996.16123.62353.27606.78296.78291.08601.0860
H71.08662.18482.06652.69603.27603.62353.12453.93343.93344.19714.1971
H82.18481.08662.69602.06653.62353.27603.12454.19714.19713.93343.9334
H93.31004.28062.08485.52431.08606.78293.93344.19711.85097.27927.5109
H103.31004.28062.08485.52431.08606.78293.93344.19711.85097.51097.2792
H114.28063.31005.52432.08486.78291.08604.19713.93347.27927.51091.8509
H124.28063.31005.52432.08486.78291.08604.19713.93347.51097.27921.8509

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 124.122 C1 C2 H8 117.025
C1 C3 C5 179.925 C2 C1 C3 124.122
C2 C1 H7 117.025 C2 C4 C6 179.925
C3 C1 H7 118.853 C3 C5 H9 121.550
C3 C5 H10 121.550 C4 C2 H8 118.853
C4 C6 H11 121.550 C4 C6 H12 121.550
H9 C5 H10 116.900 H11 C6 H12 116.900
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/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 -35.356 3.300 0.000
y 3.300 -31.773 0.000
z 0.000 0.000 -36.723
Traceless
 xyz
x -1.108 3.300 0.000
y 3.300 4.267 0.000
z 0.000 0.000 -3.159
Polar
3z2-r2-6.317
x2-y2-3.583
xy3.300
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.364 5.948 0.000
y 5.948 21.170 0.000
z 0.000 0.000 6.330


<r2> (average value of r2) Å2
<r2> 243.182
(<r2>)1/2 15.594