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

using model chemistry: B3LYPultrafine/6-31+G**

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/6-31+G**
 hartrees
Energy at 0K-232.149104
Energy at 298.15K-232.153100
HF Energy-232.149104
Nuclear repulsion energy175.952400
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/6-31+G**
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 3149 3031 0.00      
2 Ag 3124 3007 0.00      
3 Ag 2025 1949 0.00      
4 Ag 1508 1451 0.00      
5 Ag 1402 1350 0.00      
6 Ag 1174 1130 0.00      
7 Ag 1040 1002 0.00      
8 Ag 883 850 0.00      
9 Ag 536 516 0.00      
10 Ag 238 229 0.00      
11 Au 3196 3077 4.78      
12 Au 1016 978 0.63      
13 Au 923 888 38.05      
14 Au 490 472 2.54      
15 Au 361 347 16.56      
16 Au 85 82 0.67      
17 Bg 3196 3077 0.00      
18 Bg 1018 980 0.00      
19 Bg 891 858 0.00      
20 Bg 674 649 0.00      
21 Bg 324 312 0.00      
22 Bu 3158 3040 5.51      
23 Bu 3124 3007 21.17      
24 Bu 2048 1972 126.58      
25 Bu 1465 1411 0.34      
26 Bu 1275 1227 17.23      
27 Bu 1112 1071 3.58      
28 Bu 883 850 118.77      
29 Bu 549 528 35.14      
30 Bu 125 120 1.05      

Unscaled Zero Point Vibrational Energy (zpe) 20494.4 cm-1
Scaled (by 0.9627) Zero Point Vibrational Energy (zpe) 19730.0 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 B3LYPultrafine/6-31+G**
ABC
1.08354 0.04505 0.04404

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/6-31+G**

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.326 0.658 0.000
C2 0.326 -0.658 0.000
C3 0.326 1.804 0.000
C4 -0.326 -1.804 0.000
C5 0.969 2.942 0.000
C6 -0.969 -2.942 0.000
H7 -1.415 0.673 0.000
H8 1.415 -0.673 0.000
H9 1.248 3.438 0.928
H10 1.248 3.438 -0.928
H11 -1.248 -3.438 0.928
H12 -1.248 -3.438 -0.928

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.46921.31772.46192.62553.65781.08932.19183.32683.32684.30074.3007
C21.46922.46191.31773.65782.62552.19181.08934.30074.30073.32683.3268
C31.31772.46193.66561.30794.91952.07572.70572.09402.09405.55145.5514
C42.46191.31773.66564.91951.30792.70572.07575.55145.55142.09402.0940
C52.62553.65781.30794.91956.19583.29133.64311.08871.08876.81856.8185
C63.65782.62554.91951.30796.19583.64313.29136.81856.81851.08871.0887
H71.08932.19182.07572.70573.29133.64313.13413.94983.94984.21834.2183
H82.19181.08932.70572.07573.64313.29133.13414.21834.21833.94983.9498
H93.32684.30072.09405.55141.08876.81853.94984.21831.85617.31597.5477
H103.32684.30072.09405.55141.08876.81853.94984.21831.85617.54777.3159
H114.30073.32685.55142.09406.81851.08874.21833.94987.31597.54771.8561
H124.30073.32685.55142.09406.81851.08874.21833.94987.54777.31591.8561

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 124.023 C1 C2 H8 117.114
C1 C3 C5 179.805 C2 C1 C3 124.023
C2 C1 H7 117.114 C2 C4 C6 179.805
C3 C1 H7 118.863 C3 C5 H9 121.522
C3 C5 H10 121.522 C4 C2 H8 118.863
C4 C6 H11 121.522 C4 C6 H12 121.522
H9 C5 H10 116.955 H11 C6 H12 116.955
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.217      
2 C -0.217      
3 C 0.183      
4 C 0.183      
5 C -0.435      
6 C -0.435      
7 H 0.155      
8 H 0.155      
9 H 0.157      
10 H 0.157      
11 H 0.157      
12 H 0.157      


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 -35.637 3.357 0.000
y 3.357 -31.933 0.000
z 0.000 0.000 -36.886
Traceless
 xyz
x -1.228 3.357 0.000
y 3.357 4.329 0.000
z 0.000 0.000 -3.101
Polar
3z2-r2-6.202
x2-y2-3.704
xy3.357
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.688 5.949 0.000
y 5.949 21.782 0.000
z 0.000 0.000 6.583


<r2> (average value of r2) Å2
<r2> 245.574
(<r2>)1/2 15.671