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All results from a given calculation for C6H4 (Benzyne)

using model chemistry: PBEPBE/6-31G(2df,p)

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/6-31G(2df,p)
 hartrees
Energy at 0K-230.628679
Energy at 298.15K-230.631558
Nuclear repulsion energy186.826689
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/6-31G(2df,p)
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 3139 3107 4.89      
2 A1 3115 3083 3.21      
3 A1 1967 1947 0.10      
4 A1 1446 1431 1.00      
5 A1 1288 1275 1.00      
6 A1 1126 1115 0.68      
7 A1 1067 1056 18.80      
8 A1 977 967 5.96      
9 A1 600 593 0.56      
10 A2 916 907 0.00      
11 A2 840 831 0.00      
12 A2 583 577 0.00      
13 A2 435 431 0.00      
14 B1 865 856 0.08      
15 B1 729 722 55.28      
16 B1 378 374 3.68      
17 B2 3134 3102 31.29      
18 B2 3099 3067 0.50      
19 B2 1409 1395 7.72      
20 B2 1384 1370 9.00      
21 B2 1230 1217 0.15      
22 B2 1076 1065 1.22      
23 B2 806 798 24.32      
24 B2 368 364 105.35      

Unscaled Zero Point Vibrational Energy (zpe) 15988.4 cm-1
Scaled (by 0.9897) Zero Point Vibrational Energy (zpe) 15823.7 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 PBEPBE/6-31G(2df,p)
ABC
0.23406 0.18814 0.10430

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31G(2df,p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.630 -1.236
C2 0.000 -0.630 -1.236
C3 0.000 1.471 -0.136
C4 0.000 -1.471 -0.136
C5 0.000 0.703 1.058
C6 0.000 -0.703 1.058
H7 0.000 2.562 -0.133
H8 0.000 -2.562 -0.133
H9 0.000 1.232 2.017
H10 0.000 -1.232 2.017

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10
C11.25931.38422.37082.29512.65302.22523.37723.30813.7478
C21.25932.37081.38422.65302.29513.37722.22523.74783.3081
C31.38422.37082.94171.42002.48071.09164.03332.16683.4557
C42.37081.38422.94172.48071.42004.03331.09163.45572.1668
C52.29512.65301.42002.48071.40652.20823.47631.09492.1596
C62.65302.29512.48071.42001.40653.47632.20822.15961.0949
H72.22523.37721.09164.03332.20823.47635.12502.52884.3612
H83.37722.22524.03331.09163.47632.20825.12504.36122.5288
H93.30813.74782.16683.45571.09492.15962.52884.36122.4634
H103.74783.30813.45572.16682.15961.09494.36122.52882.4634

picture of Benzyne state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 127.424 C1 C3 C5 109.853
C1 C3 H7 127.593 C2 C1 C3 127.424
C2 C4 C6 109.853 C2 C4 H8 127.593
C3 C5 C6 122.723 C3 C5 H9 118.419
C4 C6 C5 122.723 C4 C6 H10 118.419
C5 C3 H7 122.554 C5 C6 H10 118.858
C6 C4 H8 122.554 C6 C5 H9 118.858
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.013      
2 C 0.013      
3 C -0.172      
4 C -0.172      
5 C -0.076      
6 C -0.076      
7 H 0.121      
8 H 0.121      
9 H 0.114      
10 H 0.114      


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 1.464 1.464
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.475 0.000 0.000
y 0.000 -28.912 0.000
z 0.000 0.000 -33.470
Traceless
 xyz
x -5.284 0.000 0.000
y 0.000 6.061 0.000
z 0.000 0.000 -0.776
Polar
3z2-r2-1.553
x2-y2-7.563
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.809 0.000 0.000
y 0.000 11.492 0.000
z 0.000 0.000 9.491


<r2> (average value of r2) Å2
<r2> 113.559
(<r2>)1/2 10.656