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

using model chemistry: PBEPBE/Def2TZVPP

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/Def2TZVPP
 hartrees
Energy at 0K-231.903562
Energy at 298.15K-231.907379
HF Energy-231.903562
Nuclear repulsion energy175.934579
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/Def2TZVPP
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 3027 0.00      
2 Ag 3042 3006 0.00      
3 Ag 1965 1942 0.00      
4 Ag 1452 1435 0.00      
5 Ag 1347 1331 0.00      
6 Ag 1142 1129 0.00      
7 Ag 1010 997 0.00      
8 Ag 837 827 0.00      
9 Ag 526 519 0.00      
10 Ag 226 223 0.00      
11 Au 3111 3073 3.05      
12 Au 970 958 0.88      
13 Au 892 882 35.23      
14 Au 473 467 2.59      
15 Au 344 340 12.19      
16 Au 85 83 0.69      
17 Bg 3111 3073 0.00      
18 Bg 972 960 0.00      
19 Bg 856 846 0.00      
20 Bg 656 648 0.00      
21 Bg 306 302 0.00      
22 Bu 3074 3037 4.14      
23 Bu 3043 3006 21.19      
24 Bu 1995 1971 126.96      
25 Bu 1406 1389 1.46      
26 Bu 1225 1210 13.02      
27 Bu 1082 1069 3.43      
28 Bu 837 827 98.49      
29 Bu 533 526 31.83      
30 Bu 119 118 0.95      

Unscaled Zero Point Vibrational Energy (zpe) 19850.7 cm-1
Scaled (by 0.9879) Zero Point Vibrational Energy (zpe) 19610.5 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/Def2TZVPP
ABC
1.08578 0.04507 0.04406

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/Def2TZVPP

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.327 0.659 0.000
C2 0.327 -0.659 0.000
C3 0.327 1.803 0.000
C4 -0.327 -1.803 0.000
C5 0.978 2.937 0.000
C6 -0.978 -2.937 0.000
H7 -1.420 0.664 0.000
H8 1.420 -0.664 0.000
H9 1.288 3.416 0.932
H10 1.288 3.416 -0.932
H11 -1.288 -3.416 0.932
H12 -1.288 -3.416 -0.932

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.47081.31802.46122.62603.65431.09282.19163.32913.32914.28904.2890
C21.47082.46121.31803.65432.62602.19161.09284.28904.28903.32913.3291
C31.31802.46123.66411.30804.91632.08532.69822.09662.09665.54215.5421
C42.46121.31803.66414.91631.30802.69822.08535.54215.54212.09662.0966
C52.62603.65431.30804.91636.19163.30393.62881.09271.09276.80966.8096
C63.65432.62604.91631.30806.19163.62883.30396.80966.80961.09271.0927
H71.09282.19162.08532.69823.30393.62883.13553.97193.97194.18774.1877
H82.19161.09282.69822.08533.62883.30393.13554.18774.18773.97193.9719
H93.32914.28902.09665.54211.09276.80963.97194.18771.86367.30217.5362
H103.32914.28902.09665.54211.09276.80963.97194.18771.86367.53627.3021
H114.28903.32915.54212.09666.80961.09274.18773.97197.30217.53621.8636
H124.28903.32915.54212.09666.80961.09274.18773.97197.53627.30211.8636

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 123.801 C1 C2 H8 116.731
C1 C3 C5 179.949 C2 C1 C3 123.801
C2 C1 H7 116.731 C2 C4 C6 179.949
C3 C1 H7 119.469 C3 C5 H9 121.436
C3 C5 H10 121.436 C4 C2 H8 119.469
C4 C6 H11 121.436 C4 C6 H12 121.436
H9 C5 H10 117.024 H11 C6 H12 117.024
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/Def2TZVPP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.149      
2 C -0.149      
3 C 0.020      
4 C 0.020      
5 C -0.196      
6 C -0.196      
7 H 0.101      
8 H 0.101      
9 H 0.112      
10 H 0.112      
11 H 0.112      
12 H 0.112      


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 -35.236 3.273 0.000
y 3.273 -31.498 0.000
z 0.000 0.000 -36.564
Traceless
 xyz
x -1.205 3.273 0.000
y 3.273 4.402 0.000
z 0.000 0.000 -3.197
Polar
3z2-r2-6.393
x2-y2-3.738
xy3.273
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.824 5.788 0.000
y 5.788 22.311 0.000
z 0.000 0.000 6.923


<r2> (average value of r2) Å2
<r2> 245.299
(<r2>)1/2 15.662