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: PBEPBE/cc-pVTZ

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/cc-pVTZ
 hartrees
Energy at 0K-230.693453
Energy at 298.15K-230.696430
Nuclear repulsion energy187.274368
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/cc-pVTZ
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 3128 3107 6.40      
2 A1 3105 3084 2.63      
3 A1 1959 1946 0.00      
4 A1 1447 1437 1.45      
5 A1 1287 1278 1.28      
6 A1 1127 1119 0.27      
7 A1 1065 1058 20.69      
8 A1 977 970 7.72      
9 A1 603 599 0.41      
10 A2 931 925 0.00      
11 A2 838 832 0.00      
12 A2 590 586 0.00      
13 A2 444 441 0.00      
14 B1 882 876 0.00      
15 B1 724 719 73.82      
16 B1 379 377 5.67      
17 B2 3125 3103 28.78      
18 B2 3090 3069 0.42      
19 B2 1416 1406 9.79      
20 B2 1391 1381 6.14      
21 B2 1235 1227 0.22      
22 B2 1076 1069 1.63      
23 B2 820 814 29.56      
24 B2 420 417 101.88      

Unscaled Zero Point Vibrational Energy (zpe) 16028.8 cm-1
Scaled (by 0.9931) Zero Point Vibrational Energy (zpe) 15918.2 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/cc-pVTZ
ABC
0.23458 0.18945 0.10481

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.627 -1.235
C2 0.000 -0.627 -1.235
C3 0.000 1.465 -0.135
C4 0.000 -1.465 -0.135
C5 0.000 0.702 1.057
C6 0.000 -0.702 1.057
H7 0.000 2.554 -0.134
H8 0.000 -2.554 -0.134
H9 0.000 1.231 2.013
H10 0.000 -1.231 2.013

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10
C11.25421.38242.36352.29302.64912.21963.36663.30313.7413
C21.25422.36351.38242.64912.29303.36662.21963.74133.3031
C31.38242.36352.93031.41582.47331.08924.01952.16083.4470
C42.36351.38242.93032.47331.41584.01951.08923.44702.1608
C52.29302.64911.41582.47331.40352.20223.46701.09232.1559
C62.64912.29302.47331.41581.40353.46702.20222.15591.0923
H72.21963.36661.08924.01952.20223.46705.10862.52164.3513
H83.36662.21964.01951.08923.46702.20225.10864.35132.5216
H93.30313.74132.16083.44701.09232.15592.52164.35132.4616
H103.74133.30313.44702.16082.15591.09234.35132.52162.4616

picture of Benzyne state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 127.317 C1 C3 C5 110.054
C1 C3 H7 127.405 C2 C1 C3 127.317
C2 C4 C6 110.054 C2 C4 H8 127.405
C3 C5 C6 122.629 C3 C5 H9 118.405
C4 C6 C5 122.629 C4 C6 H10 118.405
C5 C3 H7 122.541 C5 C6 H10 118.967
C6 C4 H8 122.541 C6 C5 H9 118.967
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.009      
2 C -0.009      
3 C -0.122      
4 C -0.122      
5 C -0.094      
6 C -0.094      
7 H 0.116      
8 H 0.116      
9 H 0.109      
10 H 0.109      


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 1.650 1.650
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.564 0.000 0.000
y 0.000 -29.479 0.000
z 0.000 0.000 -34.711
Traceless
 xyz
x -5.469 0.000 0.000
y 0.000 6.658 0.000
z 0.000 0.000 -1.189
Polar
3z2-r2-2.378
x2-y2-8.085
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.770 0.000 0.000
y 0.000 12.255 0.000
z 0.000 0.000 10.467


<r2> (average value of r2) Å2
<r2> 113.711
(<r2>)1/2 10.664