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All results from a given calculation for C6H5 (phenyl)

using model chemistry: PBEPBEultrafine/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2A1
Energy calculated at PBEPBEultrafine/6-31G*
 hartrees
Energy at 0K-231.254164
Energy at 298.15K-231.258732
HF Energy-231.254164
Nuclear repulsion energy193.282721
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 PBEPBEultrafine/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 3138 3086 11.08      
2 A1 3124 3073 6.08      
3 A1 3104 3053 1.95      
4 A1 1549 1524 0.73      
5 A1 1442 1419 5.98      
6 A1 1153 1134 0.19      
7 A1 1036 1019 7.76      
8 A1 1004 987 0.19      
9 A1 952 936 1.70      
10 A1 598 588 2.14      
11 A2 913 898 0.00      
12 A2 781 768 0.00      
13 A2 384 378 0.00      
14 B1 943 927 0.21      
15 B1 853 839 0.26      
16 B1 694 682 61.71      
17 B1 650 639 10.82      
18 B1 413 406 4.22      
19 B2 3126 3074 26.73      
20 B2 3110 3059 5.91      
21 B2 1609 1583 1.55      
22 B2 1438 1415 4.91      
23 B2 1348 1326 1.06      
24 B2 1277 1256 0.05      
25 B2 1153 1134 0.27      
26 B2 1057 1040 3.44      
27 B2 577 568 0.56      

Unscaled Zero Point Vibrational Energy (zpe) 18712.4 cm-1
Scaled (by 0.9835) Zero Point Vibrational Energy (zpe) 18403.7 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 PBEPBEultrafine/6-31G*
ABC
0.20723 0.18505 0.09776

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.405
C2 0.000 1.231 0.776
C3 0.000 -1.231 0.776
C4 0.000 1.219 -0.636
C5 0.000 -1.219 -0.636
C6 0.000 0.000 -1.330
H7 0.000 2.176 1.330
H8 0.000 -2.176 1.330
H9 0.000 2.168 -1.185
H10 0.000 -2.168 -1.185
H11 0.000 0.000 -2.425

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11
C11.38291.38292.37752.37752.73562.17732.17733.37803.37803.8304
C21.38292.46261.41152.82822.43971.09543.45212.17333.92433.4296
C31.38292.46262.82821.41152.43973.45211.09543.92432.17333.4296
C42.37751.41152.82822.43901.40352.18623.92351.09613.43172.1655
C52.37752.82821.41152.43901.40353.92352.18623.43171.09612.1655
C62.73562.43972.43971.40351.40353.43713.43712.17272.17271.0948
H72.17731.09543.45212.18623.92353.43714.35212.51555.01974.3402
H82.17733.45211.09543.92352.18623.43714.35215.01972.51554.3402
H93.37802.17333.92431.09613.43172.17272.51555.01974.33572.4973
H103.37803.92432.17333.43171.09612.17275.01972.51554.33572.4973
H113.83043.42963.42962.16552.16551.09484.34024.34022.49732.4973

picture of phenyl state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 116.599 C1 C2 H7 122.518
C1 C3 C5 116.599 C1 C3 H8 122.518
C2 C1 C3 125.844 C2 C4 C6 120.147
C2 C4 H9 119.619 C3 C5 C6 120.147
C3 C5 H10 119.619 C4 C2 H7 120.883
C4 C6 C5 120.665 C4 C6 H11 119.667
C5 C3 H8 120.883 C5 C6 H11 119.667
C6 C4 H9 120.234 C6 C5 H10 120.234
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.026      
2 C -0.183      
3 C -0.183      
4 C -0.132      
5 C -0.132      
6 C -0.136      
7 H 0.155      
8 H 0.155      
9 H 0.143      
10 H 0.143      
11 H 0.143      


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 -0.829 0.829
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.826 0.000 0.000
y 0.000 -29.358 0.012
z 0.000 0.012 -33.039
Traceless
 xyz
x -6.628 0.000 0.000
y 0.000 6.074 0.012
z 0.000 0.012 0.554
Polar
3z2-r21.107
x2-y2-8.468
xy0.000
xz0.000
yz0.012


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.180 0.000 0.000
y 0.000 10.952 0.004
z 0.000 0.004 9.941


<r2> (average value of r2) Å2
<r2> 122.544
(<r2>)1/2 11.070