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

using model chemistry: PBEPBEultrafine/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 PBEPBEultrafine/TZVP
 hartrees
Energy at 0K-231.893019
Energy at 298.15K-231.896837
HF Energy-231.893019
Nuclear repulsion energy175.852767
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 PBEPBEultrafine/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 3063 3028 0.00      
2 Ag 3042 3007 0.00      
3 Ag 1972 1949 0.00      
4 Ag 1454 1437 0.00      
5 Ag 1351 1335 0.00      
6 Ag 1145 1132 0.00      
7 Ag 1010 998 0.00      
8 Ag 838 829 0.00      
9 Ag 526 520 0.00      
10 Ag 225 222 0.00      
11 Au 3110 3074 3.21      
12 Au 972 961 0.15      
13 Au 892 881 37.56      
14 Au 473 468 2.74      
15 Au 340 337 13.84      
16 Au 83 82 0.71      
17 Bg 3110 3074 0.00      
18 Bg 974 963 0.00      
19 Bg 855 845 0.00      
20 Bg 656 649 0.00      
21 Bg 302 299 0.00      
22 Bu 3074 3039 4.73      
23 Bu 3042 3007 21.13      
24 Bu 2002 1979 121.54      
25 Bu 1408 1392 1.65      
26 Bu 1230 1216 11.48      
27 Bu 1085 1072 3.82      
28 Bu 839 829 112.31      
29 Bu 532 526 31.67      
30 Bu 119 117 1.05      

Unscaled Zero Point Vibrational Energy (zpe) 19859.8 cm-1
Scaled (by 0.9886) Zero Point Vibrational Energy (zpe) 19633.4 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 PBEPBEultrafine/TZVP
ABC
1.08267 0.04504 0.04403

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

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.324 0.656 0.000
C2 0.324 -0.656 0.000
C3 0.324 1.805 0.000
C4 -0.324 -1.805 0.000
C5 0.968 2.942 0.000
C6 -0.968 -2.942 0.000
H7 -1.420 0.670 0.000
H8 1.420 -0.670 0.000
H9 1.249 3.443 0.932
H10 1.249 3.443 -0.932
H11 -1.249 -3.443 0.932
H12 -1.249 -3.443 -0.932

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.46331.31942.46052.62663.65531.09562.19073.33333.33334.30374.3037
C21.46332.46051.31943.65532.62662.19071.09564.30374.30373.33333.3333
C31.31942.46053.66721.30724.91982.08112.70592.09932.09935.55695.5569
C42.46051.31943.66724.91981.30722.70592.08115.55695.55692.09932.0993
C52.62663.65531.30724.91986.19513.29663.64011.09471.09476.82306.8230
C63.65532.62664.91981.30726.19513.64013.29666.82306.82301.09471.0947
H71.09562.19072.08112.70593.29663.64013.13963.96013.96014.22004.2200
H82.19071.09562.70592.08113.64013.29663.13964.22004.22003.96013.9601
H93.33334.30372.09935.55691.09476.82303.96014.22001.86457.32447.5580
H103.33334.30372.09935.55691.09476.82303.96014.22001.86457.55807.3244
H114.30373.33335.55692.09936.82301.09474.22003.96017.32447.55801.8645
H124.30373.33335.55692.09936.82301.09474.22003.96017.55807.32441.8645

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 124.228 C1 C2 H8 117.036
C1 C3 C5 179.955 C2 C1 C3 124.228
C2 C1 H7 117.036 C2 C4 C6 179.955
C3 C1 H7 118.735 C3 C5 H9 121.611
C3 C5 H10 121.611 C4 C2 H8 118.735
C4 C6 H11 121.611 C4 C6 H12 121.611
H9 C5 H10 116.778 H11 C6 H12 116.778
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.202      
2 C -0.202      
3 C 0.090      
4 C 0.090      
5 C -0.324      
6 C -0.324      
7 H 0.150      
8 H 0.150      
9 H 0.143      
10 H 0.143      
11 H 0.143      
12 H 0.143      


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 -35.222 3.340 0.000
y 3.340 -31.423 0.000
z 0.000 0.000 -36.590
Traceless
 xyz
x -1.216 3.340 0.000
y 3.340 4.483 0.000
z 0.000 0.000 -3.267
Polar
3z2-r2-6.535
x2-y2-3.799
xy3.340
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.469 6.015 0.000
y 6.015 22.005 0.000
z 0.000 0.000 6.452


<r2> (average value of r2) Å2
<r2> 245.451
(<r2>)1/2 15.667