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

using model chemistry: HSEh1PBE/6-31G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2H 1Ag
Energy calculated at HSEh1PBE/6-31G
 hartrees
Energy at 0K-231.802324
Energy at 298.15K-231.806449
HF Energy-231.802324
Nuclear repulsion energy176.089532
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 HSEh1PBE/6-31G
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 3188 3049 0.00      
2 Ag 3164 3027 0.00      
3 Ag 2079 1989 0.00      
4 Ag 1540 1473 0.00      
5 Ag 1442 1379 0.00      
6 Ag 1217 1164 0.00      
7 Ag 1061 1015 0.00      
8 Ag 941 900 0.00      
9 Ag 550 526 0.00      
10 Ag 241 230 0.00      
11 Au 3242 3101 11.68      
12 Au 1054 1008 0.82      
13 Au 958 917 46.81      
14 Au 506 484 3.15      
15 Au 364 348 13.05      
16 Au 88 84 0.49      
17 Bg 3242 3101 0.00      
18 Bg 1056 1010 0.00      
19 Bg 936 896 0.00      
20 Bg 699 669 0.00      
21 Bg 328 314 0.00      
22 Bu 3198 3059 11.18      
23 Bu 3165 3027 19.88      
24 Bu 2102 2011 104.42      
25 Bu 1502 1437 0.99      
26 Bu 1319 1261 6.66      
27 Bu 1138 1088 3.91      
28 Bu 942 901 145.39      
29 Bu 557 533 26.82      
30 Bu 126 121 0.87      

Unscaled Zero Point Vibrational Energy (zpe) 20971.3 cm-1
Scaled (by 0.9566) Zero Point Vibrational Energy (zpe) 20061.2 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 HSEh1PBE/6-31G
ABC
1.08795 0.04512 0.04410

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31G

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.325 0.656 0.000
C2 0.325 -0.656 0.000
C3 0.325 1.803 0.000
C4 -0.325 -1.803 0.000
C5 0.971 2.939 0.000
C6 -0.971 -2.939 0.000
H7 -1.413 0.662 0.000
H8 1.413 -0.662 0.000
H9 1.255 3.439 0.923
H10 1.255 3.439 -0.923
H11 -1.255 -3.439 0.923
H12 -1.255 -3.439 -0.923

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.46361.31802.45852.62533.65241.08862.18123.33063.33064.29934.2993
C21.46362.45851.31803.65242.62532.18121.08864.29934.29933.33063.3306
C31.31802.45853.66341.30734.91552.07882.69452.09642.09645.55175.5517
C42.45851.31803.66344.91551.30732.69452.07885.55175.55172.09642.0964
C52.62533.65241.30734.91556.19053.29693.62811.08771.08776.81796.8179
C63.65242.62534.91551.30736.19053.62813.29696.81796.81791.08771.0877
H71.08862.18122.07882.69453.29693.62813.12143.95993.95994.20684.2068
H82.18121.08862.69452.07883.62813.29693.12144.20684.20683.95993.9599
H93.33064.29932.09645.55171.08776.81793.95994.20681.84697.32137.5507
H103.33064.29932.09645.55171.08776.81793.95994.20681.84697.55077.3213
H114.29933.33065.55172.09646.81791.08774.20683.95997.32137.55071.8469
H124.29933.33065.55172.09646.81791.08774.20683.95997.55077.32131.8469

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 124.133 C1 C2 H8 116.677
C1 C3 C5 179.884 C2 C1 C3 124.133
C2 C1 H7 116.677 C2 C4 C6 179.884
C3 C1 H7 119.190 C3 C5 H9 121.896
C3 C5 H10 121.896 C4 C2 H8 119.190
C4 C6 H11 121.896 C4 C6 H12 121.896
H9 C5 H10 116.207 H11 C6 H12 116.207
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.234      
2 C -0.234      
3 C 0.139      
4 C 0.139      
5 C -0.472      
6 C -0.472      
7 H 0.196      
8 H 0.196      
9 H 0.185      
10 H 0.185      
11 H 0.185      
12 H 0.185      


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 -34.270 3.239 0.000
y 3.239 -30.594 0.000
z 0.000 0.000 -35.821
Traceless
 xyz
x -1.063 3.239 0.000
y 3.239 4.452 0.000
z 0.000 0.000 -3.389
Polar
3z2-r2-6.778
x2-y2-3.677
xy3.239
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.473 6.358 0.000
y 6.358 19.523 0.000
z 0.000 0.000 4.619


<r2> (average value of r2) Å2
<r2> 244.500
(<r2>)1/2 15.637