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All results from a given calculation for C6H4 (Benzyne)

using model chemistry: PBEPBE/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBEPBE/3-21G
 hartrees
Energy at 0K-229.344948
Energy at 298.15K-229.348078
Nuclear repulsion energy185.992668
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/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 A1 3161 3132 1.87      
2 A1 3133 3105 0.75      
3 A1 1957 1939 0.55      
4 A1 1450 1436 0.00      
5 A1 1276 1264 4.17      
6 A1 1172 1161 0.18      
7 A1 1063 1053 19.09      
8 A1 974 965 6.32      
9 A1 631 625 0.12      
10 A2 949 940 0.00      
11 A2 848 840 0.00      
12 A2 622 617 0.00      
13 A2 466 462 0.00      
14 B1 899 891 0.10      
15 B1 729 722 94.51      
16 B1 387 384 6.19      
17 B2 3156 3127 24.26      
18 B2 3117 3089 0.26      
19 B2 1417 1404 20.20      
20 B2 1396 1383 0.43      
21 B2 1260 1248 0.05      
22 B2 1088 1078 1.00      
23 B2 861 853 30.23      
24 B2 515 511 69.03      

Unscaled Zero Point Vibrational Energy (zpe) 16262.4 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 16114.4 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/3-21G
ABC
0.22986 0.18777 0.10335

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.632 -1.248
C2 0.000 -0.632 -1.248
C3 0.000 1.470 -0.136
C4 0.000 -1.470 -0.136
C5 0.000 0.707 1.069
C6 0.000 -0.707 1.069
H7 0.000 2.561 -0.136
H8 0.000 -2.561 -0.136
H9 0.000 1.239 2.025
H10 0.000 -1.239 2.025

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10
C11.26421.39242.37832.31782.67552.22603.38083.32823.7696
C21.26422.37831.39242.67552.31783.38082.22603.76963.3282
C31.39242.37832.94091.42662.48821.09044.03132.17293.4656
C42.37831.39242.94092.48821.42664.03131.09043.46562.1729
C52.31782.67551.42662.48821.41322.21153.48261.09422.1679
C62.67552.31782.48821.42661.41323.48262.21152.16791.0942
H72.22603.38081.09044.03132.21153.48265.12172.53304.3715
H83.38082.22604.03131.09043.48262.21155.12174.37152.5330
H93.32823.76962.17293.46561.09422.16792.53304.37152.4786
H103.76963.32823.46562.17292.16791.09424.37152.53302.4786

picture of Benzyne state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 127.021 C1 C3 C5 110.606
C1 C3 H7 127.004 C2 C1 C3 127.021
C2 C4 C6 110.606 C2 C4 H8 127.004
C3 C5 C6 122.374 C3 C5 H9 118.493
C4 C6 C5 122.374 C4 C6 H10 118.493
C5 C3 H7 122.390 C5 C6 H10 119.133
C6 C4 H8 122.390 C6 C5 H9 119.133
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.018      
2 C 0.018      
3 C -0.259      
4 C -0.259      
5 C -0.186      
6 C -0.186      
7 H 0.212      
8 H 0.212      
9 H 0.214      
10 H 0.214      


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 1.752 1.752
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -38.189 0.000 0.000
y 0.000 -28.877 0.000
z 0.000 0.000 -33.784
Traceless
 xyz
x -6.858 0.000 0.000
y 0.000 7.109 0.000
z 0.000 0.000 -0.251
Polar
3z2-r2-0.501
x2-y2-9.312
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.246 0.000 0.000
y 0.000 10.722 0.000
z 0.000 0.000 8.576


<r2> (average value of r2) Å2
<r2> 114.763
(<r2>)1/2 10.713