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All results from a given calculation for C6H5 (phenyl)

using model chemistry: mPW1PW91/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2A1
Energy calculated at mPW1PW91/6-31G*
 hartrees
Energy at 0K-231.503937
Energy at 298.15K-231.508694
Nuclear repulsion energy194.731727
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 mPW1PW91/6-31G*
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 3242 3074 8.61      
2 A1 3230 3063 8.96      
3 A1 3210 3044 1.01      
4 A1 1622 1538 0.44      
5 A1 1503 1425 8.24      
6 A1 1194 1132 0.08      
7 A1 1071 1016 8.28      
8 A1 1039 985 0.15      
9 A1 988 937 1.22      
10 A1 617 585 1.52      
11 A2 970 919 0.00      
12 A2 829 786 0.00      
13 A2 404 383 0.00      
14 B1 999 947 0.15      
15 B1 899 853 0.46      
16 B1 728 691 67.92      
17 B1 681 645 15.33      
18 B1 431 409 4.35      
19 B2 3233 3066 22.61      
20 B2 3216 3050 6.05      
21 B2 1677 1590 1.90      
22 B2 1490 1413 6.34      
23 B2 1372 1301 0.25      
24 B2 1327 1258 0.05      
25 B2 1193 1131 0.22      
26 B2 1095 1039 3.68      
27 B2 600 569 0.55      

Unscaled Zero Point Vibrational Energy (zpe) 19428.2 cm-1
Scaled (by 0.9483) Zero Point Vibrational Energy (zpe) 18423.8 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 mPW1PW91/6-31G*
ABC
0.21039 0.18774 0.09921

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.396
C2 0.000 1.223 0.769
C3 0.000 -1.223 0.769
C4 0.000 1.211 -0.630
C5 0.000 -1.211 -0.630
C6 0.000 0.000 -1.320
H7 0.000 2.158 1.321
H8 0.000 -2.158 1.321
H9 0.000 2.149 -1.177
H10 0.000 -2.149 -1.177
H11 0.000 0.000 -2.406

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11
C11.37451.37452.36052.36052.71632.15902.15903.35263.35263.8015
C21.37452.44661.39962.80772.42131.08543.42582.15533.89393.4022
C31.37452.44662.80771.39962.42133.42581.08543.89392.15533.4022
C42.36051.39962.80772.42141.39352.16933.89301.08623.40422.1487
C52.36052.80771.39962.42141.39353.89302.16933.40421.08622.1487
C62.71632.42132.42131.39351.39353.41093.41092.15412.15411.0852
H72.15901.08543.42582.16933.89303.41094.31542.49844.97924.3064
H82.15903.42581.08543.89302.16933.41094.31544.97922.49844.3064
H93.35262.15533.89391.08623.40422.15412.49844.97924.29862.4756
H103.35263.89392.15533.40421.08622.15414.97922.49844.29862.4756
H113.80153.40223.40222.14872.14871.08524.30644.30642.47562.4756

picture of phenyl state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 116.614 C1 C2 H7 122.290
C1 C3 C5 116.614 C1 C3 H8 122.290
C2 C1 C3 125.741 C2 C4 C6 120.195
C2 C4 H9 119.704 C3 C5 C6 120.195
C3 C5 H10 119.704 C4 C2 H7 121.096
C4 C6 C5 120.642 C4 C6 H11 119.679
C5 C3 H8 121.096 C5 C6 H11 119.679
C6 C4 H9 120.102 C6 C5 H10 120.102
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.025      
2 C -0.211      
3 C -0.211      
4 C -0.162      
5 C -0.162      
6 C -0.168      
7 H 0.184      
8 H 0.184      
9 H 0.174      
10 H 0.174      
11 H 0.173      


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 -0.801 0.801
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.933 0.000 0.000
y 0.000 -29.088 0.000
z 0.000 0.000 -32.693
Traceless
 xyz
x -7.043 0.000 0.000
y 0.000 6.225 0.000
z 0.000 0.000 0.818
Polar
3z2-r21.635
x2-y2-8.845
xy0.000
xz0.000
yz0.000


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


<r2> (average value of r2) Å2
<r2> 120.927
(<r2>)1/2 10.997