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

using model chemistry: LSDA/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2H 1Ag
Energy calculated at LSDA/3-21G*
 hartrees
Energy at 0K-229.506477
Energy at 298.15K-229.510383
HF Energy-229.506477
Nuclear repulsion energy176.640912
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 LSDA/3-21G*
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 3072 3017 0.00      
2 Ag 3051 2996 0.00      
3 Ag 2038 2001 0.00      
4 Ag 1485 1458 0.00      
5 Ag 1384 1360 0.00      
6 Ag 1175 1154 0.00      
7 Ag 1031 1013 0.00      
8 Ag 876 861 0.00      
9 Ag 545 535 0.00      
10 Ag 225 221 0.00      
11 Au 3120 3063 1.20      
12 Au 1008 990 5.65      
13 Au 915 899 54.59      
14 Au 483 474 5.00      
15 Au 344 338 13.71      
16 Au 88 87 0.91      
17 Bg 3120 3063 0.00      
18 Bg 1010 992 0.00      
19 Bg 882 866 0.00      
20 Bg 678 666 0.00      
21 Bg 304 298 0.00      
22 Bu 3084 3029 5.81      
23 Bu 3052 2997 3.01      
24 Bu 2070 2033 96.64      
25 Bu 1445 1419 4.34      
26 Bu 1271 1248 1.96      
27 Bu 1116 1096 5.32      
28 Bu 877 861 155.82      
29 Bu 539 529 26.86      
30 Bu 118 116 1.10      

Unscaled Zero Point Vibrational Energy (zpe) 20202.8 cm-1
Scaled (by 0.982) Zero Point Vibrational Energy (zpe) 19839.1 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 LSDA/3-21G*
ABC
1.07738 0.04564 0.04460

See section I.F.4 to change rotational constant units
Geometric Data calculated at LSDA/3-21G*

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.325 0.650 0.000
C2 0.325 -0.650 0.000
C3 0.325 1.792 0.000
C4 -0.325 -1.792 0.000
C5 0.975 2.918 0.000
C6 -0.975 -2.918 0.000
H7 -1.424 0.651 0.000
H8 1.424 -0.651 0.000
H9 1.264 3.421 0.933
H10 1.264 3.421 -0.933
H11 -1.264 -3.421 0.933
H12 -1.264 -3.421 -0.933

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.45371.31342.44202.61383.62701.09912.17983.32733.32734.28084.2808
C21.45372.44201.31343.62702.61382.17981.09914.28084.28083.32733.3273
C31.31342.44203.64191.30044.88582.08792.67872.09912.09915.52865.5286
C42.44201.31343.64194.88581.30042.67872.08795.52865.52862.09912.0991
C52.61383.62701.30044.88586.15313.30053.59721.09831.09836.78706.7870
C63.62702.61384.88581.30046.15313.59723.30056.78706.78701.09831.0983
H71.09912.17982.08792.67873.30053.59723.13143.97093.97094.18034.1803
H82.17981.09912.67872.08793.59723.30053.13144.18034.18033.97093.9709
H93.32734.28082.09915.52861.09836.78703.97094.18031.86527.29387.5285
H103.32734.28082.09915.52861.09836.78703.97094.18031.86527.52857.2938
H114.28083.32735.52862.09916.78701.09834.18033.97097.29387.52851.8652
H124.28083.32735.52862.09916.78701.09834.18033.97097.52857.29381.8652

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 123.812 C1 C2 H8 116.587
C1 C3 C5 179.645 C2 C1 C3 123.812
C2 C1 H7 116.587 C2 C4 C6 179.645
C3 C1 H7 119.601 C3 C5 H9 121.882
C3 C5 H10 121.882 C4 C2 H8 119.601
C4 C6 H11 121.882 C4 C6 H12 121.882
H9 C5 H10 116.237 H11 C6 H12 116.237
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.358      
2 C -0.358      
3 C 0.202      
4 C 0.202      
5 C -0.557      
6 C -0.557      
7 H 0.241      
8 H 0.241      
9 H 0.236      
10 H 0.236      
11 H 0.236      
12 H 0.236      


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 -34.091 3.888 0.000
y 3.888 -29.695 0.000
z 0.000 0.000 -36.206
Traceless
 xyz
x -1.141 3.888 0.000
y 3.888 5.454 0.000
z 0.000 0.000 -4.313
Polar
3z2-r2-8.626
x2-y2-4.396
xy3.888
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.115 6.261 0.000
y 6.261 19.219 0.000
z 0.000 0.000 4.315


<r2> (average value of r2) Å2
<r2> 242.112
(<r2>)1/2 15.560