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

using model chemistry: PBEPBE/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 PBEPBE/TZVP
 hartrees
Energy at 0K-231.893028
Energy at 298.15K-231.896851
HF Energy-231.893028
Nuclear repulsion energy175.850240
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 PBEPBE/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 3064 3030 0.00      
2 Ag 3043 3008 0.00      
3 Ag 1972 1950 0.00      
4 Ag 1454 1438 0.00      
5 Ag 1351 1335 0.00      
6 Ag 1145 1132 0.00      
7 Ag 1010 999 0.00      
8 Ag 838 829 0.00      
9 Ag 526 520 0.00      
10 Ag 225 222 0.00      
11 Au 3111 3076 3.21      
12 Au 972 962 0.15      
13 Au 893 883 37.75      
14 Au 473 468 2.72      
15 Au 341 337 13.84      
16 Au 84 83 0.71      
17 Bg 3111 3076 0.00      
18 Bg 975 964 0.00      
19 Bg 856 846 0.00      
20 Bg 656 649 0.00      
21 Bg 303 299 0.00      
22 Bu 3075 3040 4.72      
23 Bu 3043 3009 21.12      
24 Bu 2002 1979 121.59      
25 Bu 1408 1392 1.65      
26 Bu 1230 1216 11.55      
27 Bu 1084 1072 3.80      
28 Bu 839 829 112.29      
29 Bu 532 526 31.70      
30 Bu 119 118 1.05      

Unscaled Zero Point Vibrational Energy (zpe) 19865.1 cm-1
Scaled (by 0.9888) Zero Point Vibrational Energy (zpe) 19642.6 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 PBEPBE/TZVP
ABC
1.08309 0.04504 0.04403

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/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 2.943 0.000
C6 -0.968 -2.943 0.000
H7 -1.420 0.670 0.000
H8 1.420 -0.670 0.000
H9 1.248 3.443 0.932
H10 1.248 3.443 -0.932
H11 -1.248 -3.443 0.932
H12 -1.248 -3.443 -0.932

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.46331.31942.46052.62663.65561.09562.19063.33343.33344.30394.3039
C21.46332.46051.31943.65562.62662.19061.09564.30394.30393.33343.3334
C31.31942.46053.66731.30724.92012.08102.70602.09932.09935.55715.5571
C42.46051.31943.66734.92011.30722.70602.08105.55715.55712.09932.0993
C52.62663.65561.30724.92016.19543.29653.64051.09471.09476.82336.8233
C63.65562.62664.92011.30726.19543.64053.29656.82336.82331.09471.0947
H71.09562.19062.08102.70603.29653.64053.13963.95993.95994.22054.2205
H82.19061.09562.70602.08103.64053.29653.13964.22054.22053.95993.9599
H93.33344.30392.09935.55711.09476.82333.95994.22051.86457.32487.5584
H103.33344.30392.09935.55711.09476.82333.95994.22051.86457.55847.3248
H114.30393.33345.55712.09936.82331.09474.22053.95997.32487.55841.8645
H124.30393.33345.55712.09936.82331.09474.22053.95997.55847.32481.8645

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 124.237 C1 C2 H8 117.035
C1 C3 C5 179.971 C2 C1 C3 124.237
C2 C1 H7 117.035 C2 C4 C6 179.971
C3 C1 H7 118.728 C3 C5 H9 121.611
C3 C5 H10 121.611 C4 C2 H8 118.728
C4 C6 H11 121.611 C4 C6 H12 121.611
H9 C5 H10 116.777 H11 C6 H12 116.777
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.202      
2 C -0.202      
3 C 0.091      
4 C 0.091      
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 -35.225 3.338 0.000
y 3.338 -31.420 0.000
z 0.000 0.000 -36.591
Traceless
 xyz
x -1.220 3.338 0.000
y 3.338 4.488 0.000
z 0.000 0.000 -3.268
Polar
3z2-r2-6.536
x2-y2-3.805
xy3.338
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.467 6.013 0.000
y 6.013 22.011 0.000
z 0.000 0.000 6.452


<r2> (average value of r2) Å2
<r2> 245.470
(<r2>)1/2 15.667