return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for C6H6 (2,4-Hexadiyne)

using model chemistry: wB97X-D/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D3H 1A1'
1 2 no D3D 1A1G

Conformer 1 (D3H)

Jump to S1C2
Energy calculated at wB97X-D/6-31G*
 hartrees
Energy at 0K-232.043288
Energy at 298.15K-232.046658
HF Energy-232.043288
Nuclear repulsion energy 
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 wB97X-D/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 A1' 3072 2914 0.00      
2 A1' 2451 2325 0.00      
3 A1' 1451 1376 0.00      
4 A1' 1301 1234 0.00      
5 A1' 565 536 0.00      
6 A1" 54 51 0.00      
7 A2" 3072 2914 58.62      
8 A2" 2328 2208 4.33      
9 A2" 1443 1369 14.02      
10 A2" 969 920 0.54      
11 E' 3150 2987 16.94      
11 E' 3150 2987 16.98      
12 E' 1513 1435 15.93      
12 E' 1513 1435 15.93      
13 E' 1072 1017 5.22      
13 E' 1072 1017 5.19      
14 E' 386 366 4.62      
14 E' 386 366 4.62      
15 E' 106 101 6.25      
15 E' 106 100 6.26      
16 E" 3150 2987 0.00      
16 E" 3150 2987 0.00      
17 E" 1513 1435 0.00      
17 E" 1513 1435 0.00      
18 E" 1068 1013 0.00      
18 E" 1068 1013 0.00      
19 E" 699 663 0.00      
19 E" 699 663 0.00      
20 E" 247 234 0.00      
20 E" 246 234 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 21255.7 cm-1
Scaled (by 0.9485) Zero Point Vibrational Energy (zpe) 20161.0 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 wB97X-D/6-31G*
ABC
2.66140 0.03695 0.03695

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-31G*

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.690
C2 0.000 0.000 -0.690
C3 0.000 0.000 1.900
C4 0.000 0.000 -1.900
C5 0.000 0.000 3.361
C6 0.000 0.000 -3.361
H7 0.000 1.024 3.747
H8 -0.887 -0.512 3.747
H9 0.887 -0.512 3.747
H10 0.000 1.024 -3.747
H11 0.887 -0.512 -3.747
H12 -0.887 -0.512 -3.747

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.37921.21022.58952.67104.05023.22463.22463.22464.55354.55354.5535
C21.37922.58951.21024.05022.67104.55354.55354.55353.22463.22463.2246
C31.21022.58953.79971.46085.26052.11232.11232.11235.73925.73925.7392
C42.58951.21023.79975.26051.46085.73925.73925.73922.11232.11232.1123
C52.67104.05021.46085.26056.72121.09471.09471.09477.18137.18137.1813
C64.05022.67105.26051.46086.72127.18137.18137.18131.09471.09471.0947
H73.22464.55352.11235.73921.09477.18131.77381.77387.49457.70167.7016
H83.22464.55352.11235.73921.09477.18131.77381.77397.70167.70167.4945
H93.22464.55352.11235.73921.09477.18131.77381.77397.70167.49457.7016
H104.55353.22465.73922.11237.18131.09477.49457.70167.70161.77381.7738
H114.55353.22465.73922.11237.18131.09477.70167.70167.49451.77381.7739
H124.55353.22465.73922.11237.18131.09477.70167.49457.70161.77381.7739

picture of 2,4-Hexadiyne state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 180.000 C1 C3 C5 180.000
C2 C1 C3 180.000 C2 C4 C6 180.000
C3 C5 H7 110.683 C3 C5 H8 110.683
C3 C5 H9 110.683 C4 C6 H10 110.683
C4 C6 H11 110.683 C4 C6 H12 110.683
H7 C5 H8 108.233 H7 C5 H9 108.233
H8 C5 H9 108.233 H10 C6 H11 108.233
H10 C6 H12 108.233 H11 C6 H12 108.233
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.727      
2 C 0.727      
3 C -0.776      
4 C -0.776      
5 C -0.574      
6 C -0.574      
7 H 0.207      
8 H 0.207      
9 H 0.207      
10 H 0.207      
11 H 0.207      
12 H 0.207      


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 -35.688 0.000 0.000
y 0.000 -35.688 0.000
z 0.000 0.000 -18.719
Traceless
 xyz
x -8.484 0.000 0.000
y 0.000 -8.484 0.000
z 0.000 0.000 16.968
Polar
3z2-r233.937
x2-y20.000
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.904 0.000 0.000
y 0.000 4.903 0.000
z 0.000 0.000 19.440


<r2> (average value of r2) Å2
<r2> 293.359
(<r2>)1/2 17.128

Conformer 2 (D3D)

Jump to S1C1
Energy calculated at wB97X-D/6-31G*
 hartrees
Energy at 0K-232.043270
Energy at 298.15K 
HF Energy-232.043270
Nuclear repulsion energy 
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 wB97X-D/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 A 3149 2987 0.00      
2 A 3149 2987 17.05      
3 A 3149 2987 0.00      
4 A 3149 2987 17.07      
5 A 3072 2914 0.00      
6 A 3072 2914 58.97      
7 A 2451 2325 0.00      
8 A 2328 2209 4.38      
9 A 1514 1436 0.02      
10 A 1514 1436 15.94      
11 A 1509 1431 0.00      
12 A 1509 1431 15.99      
13 A 1450 1375 0.02      
14 A 1442 1368 13.79      
15 A 1301 1234 0.00      
16 A 1071 1016 5.33      
17 A 1068 1013 5.23      
18 A 1068 1013 0.00      
19 A 1065 1010 0.00      
20 A 971 921 0.56      
21 A 699 663 0.00      
22 A 699 663 0.00      
23 A 565 536 0.00      
24 A 385 366 4.62      
25 A 384 364 4.60      
26 A 247 234 0.00      
27 A 244 231 0.00      
28 A 106 100 6.24      
29 A 102 97 6.34      
30 A 57i 54i 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 21186.9 cm-1
Scaled (by 0.9485) Zero Point Vibrational Energy (zpe) 20095.7 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 wB97X-D/6-31G*
ABC
2.66331 0.03695 0.03695

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-31G*

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.688 0.000 0.000
C2 0.688 0.000 0.000
C3 -1.898 0.000 0.000
C4 1.898 0.000 0.000
C5 -3.356 0.000 -0.000
C6 3.356 0.000 -0.000
H7 -3.749 0.000 1.022
H8 -3.748 0.886 -0.511
H9 -3.748 -0.886 -0.511
H10 3.749 0.000 1.022
H11 3.748 -0.886 -0.511
H12 3.748 0.886 -0.511

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.37571.21052.58622.66814.04383.22703.22683.22684.55284.55254.5525
C21.37572.58621.21054.04382.66814.55284.55254.55253.22703.22683.2268
C31.21052.58623.79671.45765.25432.11402.11392.11395.73885.73855.7385
C42.58621.21053.79675.25431.45765.73885.73855.73852.11402.11392.1139
C52.66814.04381.45765.25436.71191.09541.09541.09547.17787.17757.1775
C64.04382.66815.25431.45766.71197.17787.17757.17751.09541.09541.0954
H73.22704.55282.11405.73881.09547.17781.77121.77127.49737.70337.7033
H83.22684.55252.11395.73851.09547.17751.77121.77177.70337.70307.4965
H93.22684.55252.11395.73851.09547.17751.77121.77177.70337.49657.7030
H104.55283.22705.73882.11407.17781.09547.49737.70337.70331.77121.7712
H114.55253.22685.73852.11397.17751.09547.70337.70307.49651.77121.7717
H124.55253.22685.73852.11397.17751.09547.70337.49657.70301.77121.7717

picture of 2,4-Hexadiyne state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 179.995 C1 C3 C5 179.996
C2 C1 C3 179.995 C2 C4 C6 179.996
C3 C5 H7 110.997 C3 C5 H8 110.989
C3 C5 H9 110.989 C4 C6 H10 110.997
C4 C6 H11 110.989 C4 C6 H12 110.989
H7 C5 H8 107.892 H7 C5 H9 107.892
H8 C5 H9 107.942 H10 C6 H11 107.892
H10 C6 H12 107.892 H11 C6 H12 107.942
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.729      
2 C 0.729      
3 C -0.776      
4 C -0.776      
5 C -0.575      
6 C -0.575      
7 H 0.207      
8 H 0.207      
9 H 0.207      
10 H 0.207      
11 H 0.207      
12 H 0.207      


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 0.002 0.002
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -18.708 0.000 0.000
y 0.000 -35.688 0.000
z 0.000 0.000 -35.693
Traceless
 xyz
x 16.982 0.000 0.000
y 0.000 -8.488 0.000
z 0.000 0.000 -8.495
Polar
3z2-r2-16.989
x2-y216.980
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 19.446 0.000 0.000
y 0.000 4.903 0.000
z 0.000 0.000 4.902


<r2> (average value of r2) Å2
<r2> 293.338
(<r2>)1/2 17.127