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 C6H4 (Benzyne)

using model chemistry: B3LYP/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 B3LYP/3-21G
 hartrees
Energy at 0K-229.640425
Energy at 298.15K-229.643702
Nuclear repulsion energy187.143748
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 B3LYP/3-21G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1 3237 3123 2.34      
2 A1 3207 3095 2.04      
3 A1 2022 1951 1.07      
4 A1 1494 1441 0.16      
5 A1 1301 1255 3.50      
6 A1 1201 1159 0.01      
7 A1 1075 1037 18.72      
8 A1 998 963 6.16      
9 A1 654 631 0.19      
10 A2 1001 966 0.00      
11 A2 887 856 0.00      
12 A2 650 627 0.00      
13 A2 484 467 0.00      
14 B1 948 915 0.11      
15 B1 760 733 87.97      
16 B1 406 391 5.80      
17 B2 3232 3119 24.10      
18 B2 3191 3079 0.81      
19 B2 1472 1421 20.57      
20 B2 1435 1385 0.26      
21 B2 1293 1247 0.17      
22 B2 1119 1080 0.70      
23 B2 894 863 33.20      
24 B2 530 511 77.53      

Unscaled Zero Point Vibrational Energy (zpe) 16744.5 cm-1
Scaled (by 0.9649) Zero Point Vibrational Energy (zpe) 16156.8 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 B3LYP/3-21G
ABC
0.23218 0.19035 0.10460

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/3-21G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.625 -1.242
C2 0.000 -0.625 -1.242
C3 0.000 1.461 -0.134
C4 0.000 -1.461 -0.134
C5 0.000 0.704 1.064
C6 0.000 -0.704 1.064
H7 0.000 2.542 -0.137
H8 0.000 -2.542 -0.137
H9 0.000 1.231 2.012
H10 0.000 -1.231 2.012

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10
C11.25081.38732.36182.30682.66142.21173.35403.30953.7460
C21.25082.36181.38732.66142.30683.35402.21173.74603.3095
C31.38732.36182.92101.41642.47411.08104.00202.15803.4424
C42.36181.38732.92102.47411.41644.00201.08103.44242.1580
C52.30682.66141.41642.47411.40872.19483.46091.08472.1553
C62.66142.30682.47411.41641.40873.46092.19482.15531.0847
H72.21173.35401.08104.00202.19483.46095.08302.51704.3419
H83.35402.21174.00201.08103.46092.19485.08304.34192.5170
H93.30953.74602.15803.44241.08472.15532.51704.34192.4625
H103.74603.30953.44242.15802.15531.08474.34192.51702.4625

picture of Benzyne state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 127.013 C1 C3 C5 110.719
C1 C3 H7 126.844 C2 C1 C3 127.013
C2 C4 C6 110.719 C2 C4 H8 126.844
C3 C5 C6 122.267 C3 C5 H9 118.670
C4 C6 C5 122.267 C4 C6 H10 118.670
C5 C3 H7 122.437 C5 C6 H10 119.062
C6 C4 H8 122.437 C6 C5 H9 119.062
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.010      
2 C 0.010      
3 C -0.239      
4 C -0.239      
5 C -0.175      
6 C -0.175      
7 H 0.203      
8 H 0.203      
9 H 0.201      
10 H 0.201      


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 1.687 1.687
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -38.019 0.000 0.000
y 0.000 -29.073 0.000
z 0.000 0.000 -33.984
Traceless
 xyz
x -6.491 0.000 0.000
y 0.000 6.928 0.000
z 0.000 0.000 -0.438
Polar
3z2-r2-0.876
x2-y2-8.946
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.168 0.000 0.000
y 0.000 10.534 0.000
z 0.000 0.000 8.294


<r2> (average value of r2) Å2
<r2> 113.665
(<r2>)1/2 10.661