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All results from a given calculation for C6H5 (phenyl)

using model chemistry: B3LYP/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2A1
Energy calculated at B3LYP/3-21G*
 hartrees
Energy at 0K-230.288690
Energy at 298.15K-230.293541
Nuclear repulsion energy194.100971
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 B3LYP/3-21G*
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 3219 3097 5.33      
2 A1 3203 3081 7.63      
3 A1 3186 3065 0.50      
4 A1 1566 1506 0.00      
5 A1 1495 1438 13.91      
6 A1 1214 1168 0.05      
7 A1 1060 1020 5.75      
8 A1 1028 989 2.84      
9 A1 1018 979 0.02      
10 A1 645 621 1.17      
11 A2 990 952 0.00      
12 A2 833 801 0.00      
13 A2 412 397 0.00      
14 B1 1023 984 0.25      
15 B1 916 881 1.32      
16 B1 743 715 62.12      
17 B1 697 671 43.86      
18 B1 439 422 5.12      
19 B2 3207 3086 17.87      
20 B2 3192 3071 2.26      
21 B2 1616 1555 2.81      
22 B2 1490 1433 8.22      
23 B2 1357 1306 0.17      
24 B2 1297 1248 0.59      
25 B2 1224 1177 0.22      
26 B2 1084 1043 2.64      
27 B2 630 606 0.34      

Unscaled Zero Point Vibrational Energy (zpe) 19391.3 cm-1
Scaled (by 0.962) Zero Point Vibrational Energy (zpe) 18654.4 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 B3LYP/3-21G*
ABC
0.20844 0.18682 0.09852

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/3-21G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.405
C2 0.000 1.225 0.772
C3 0.000 -1.225 0.772
C4 0.000 1.216 -0.634
C5 0.000 -1.216 -0.634
C6 0.000 0.000 -1.326
H7 0.000 2.160 1.321
H8 0.000 -2.160 1.321
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
C11.37911.37912.37432.37432.73152.16122.16123.36343.36343.8153
C21.37912.45031.40632.81692.42981.08373.42902.16003.90133.4098
C31.37912.45032.81691.40632.42983.42901.08373.90132.16003.4098
C42.37431.40632.81692.43111.39872.17133.90061.08443.41282.1520
C52.37432.81691.40632.43111.39873.90062.17133.41281.08442.1520
C62.73152.42982.42981.39871.39873.41643.41642.15882.15881.0839
H72.16121.08373.42902.17133.90063.41644.31912.49934.98504.3110
H82.16123.42901.08373.90062.17133.41644.31914.98502.49934.3110
H93.36342.16003.90131.08443.41282.15882.49934.98504.30742.4811
H103.36343.90132.16003.41281.08442.15884.98502.49934.30742.4811
H113.81533.40983.40982.15202.15201.08394.31104.31102.48112.4811

picture of phenyl state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 116.939 C1 C2 H7 122.233
C1 C3 C5 116.939 C1 C3 H8 122.233
C2 C1 C3 125.336 C2 C4 C6 120.043
C2 C4 H9 119.714 C3 C5 C6 120.043
C3 C5 H10 119.714 C4 C2 H7 120.828
C4 C6 C5 120.699 C4 C6 H11 119.651
C5 C3 H8 120.828 C5 C6 H11 119.651
C6 C4 H9 120.243 C6 C5 H10 120.243
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.050      
2 C -0.248      
3 C -0.248      
4 C -0.176      
5 C -0.176      
6 C -0.190      
7 H 0.205      
8 H 0.205      
9 H 0.193      
10 H 0.193      
11 H 0.191      


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 -0.868 0.868
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.087 0.000 0.000
y 0.000 -29.471 0.000
z 0.000 0.000 -33.208
Traceless
 xyz
x -7.748 0.000 0.000
y 0.000 6.677 0.000
z 0.000 0.000 1.071
Polar
3z2-r22.143
x2-y2-9.616
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> 121.990
(<r2>)1/2 11.045