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All results from a given calculation for C6H5 (phenyl)

using model chemistry: B3PW91/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2A1
Energy calculated at B3PW91/6-31+G**
 hartrees
Energy at 0K-231.487367
Energy at 298.15K-231.492095
Nuclear repulsion energy194.327070
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 B3PW91/6-31+G**
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 3218 3089 8.72      
2 A1 3207 3079 5.26      
3 A1 3187 3060 0.78      
4 A1 1593 1530 1.41      
5 A1 1478 1419 7.63      
6 A1 1177 1131 0.11      
7 A1 1057 1015 10.75      
8 A1 1025 984 0.43      
9 A1 979 940 0.72      
10 A1 612 588 1.27      
11 A2 965 926 0.00      
12 A2 817 784 0.00      
13 A2 397 381 0.00      
14 B1 991 952 0.14      
15 B1 892 857 0.44      
16 B1 719 690 92.01      
17 B1 666 639 19.27      
18 B1 423 406 6.17      
19 B2 3209 3081 17.93      
20 B2 3193 3066 5.51      
21 B2 1652 1586 1.92      
22 B2 1467 1409 5.11      
23 B2 1360 1306 0.46      
24 B2 1307 1255 0.01      
25 B2 1177 1130 0.15      
26 B2 1080 1037 5.12      
27 B2 594 570 0.65      

Unscaled Zero Point Vibrational Energy (zpe) 19219.7 cm-1
Scaled (by 0.9601) Zero Point Vibrational Energy (zpe) 18452.9 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 B3PW91/6-31+G**
ABC
0.20959 0.18685 0.09879

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31+G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.397
C2 0.000 1.226 0.771
C3 0.000 -1.226 0.771
C4 0.000 1.214 -0.632
C5 0.000 -1.214 -0.632
C6 0.000 0.000 -1.323
H7 0.000 2.162 1.324
H8 0.000 -2.162 1.324
H9 0.000 2.154 -1.178
H10 0.000 -2.154 -1.178
H11 0.000 0.000 -2.410

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11
C11.37681.37682.36432.36432.72042.16302.16303.35743.35743.8068
C21.37682.45281.40342.81482.42731.08653.43292.15913.90223.4093
C31.37682.45282.81481.40342.42733.43291.08653.90222.15913.4093
C42.36431.40342.81482.42731.39682.17383.90131.08743.41152.1525
C52.36432.81481.40342.42731.39683.90132.17383.41151.08742.1525
C62.72042.42732.42731.39681.39683.41803.41802.15862.15861.0864
H72.16301.08653.43292.17383.90133.41804.32352.50274.98874.3145
H82.16303.43291.08653.90132.17383.41804.32354.98872.50274.3145
H93.35742.15913.90221.08743.41152.15862.50274.98874.30752.4808
H103.35743.90222.15913.41151.08742.15864.98872.50274.30752.4808
H113.80683.40933.40932.15252.15251.08644.31454.31452.48082.4808

picture of phenyl state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 116.509 C1 C2 H7 122.386
C1 C3 C5 116.509 C1 C3 H8 122.386
C2 C1 C3 125.941 C2 C4 C6 120.189
C2 C4 H9 119.650 C3 C5 C6 120.189
C3 C5 H10 119.650 C4 C2 H7 121.105
C4 C6 C5 120.662 C4 C6 H11 119.669
C5 C3 H8 121.105 C5 C6 H11 119.669
C6 C4 H9 120.160 C6 C5 H10 120.160
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.129      
2 C -0.149      
3 C -0.149      
4 C -0.108      
5 C -0.108      
6 C -0.154      
7 H 0.167      
8 H 0.167      
9 H 0.155      
10 H 0.155      
11 H 0.154      


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 -0.919 0.919
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.154 0.000 0.000
y 0.000 -29.690 0.000
z 0.000 0.000 -33.883
Traceless
 xyz
x -7.368 0.000 0.000
y 0.000 6.829 0.000
z 0.000 0.000 0.539
Polar
3z2-r21.078
x2-y2-9.464
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.810 0.000 0.000
y 0.000 11.610 0.000
z 0.000 0.000 10.935


<r2> (average value of r2) Å2
<r2> 121.977
(<r2>)1/2 11.044