return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for C6H5 (phenyl)

using model chemistry: B3LYP/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 B3LYP/6-31+G**
 hartrees
Energy at 0K-231.579890
Energy at 298.15K-231.584620
Nuclear repulsion energy194.039743
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/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 3205 3090 9.91      
2 A1 3194 3079 5.86      
3 A1 3174 3061 0.91      
4 A1 1580 1523 1.34      
5 A1 1475 1423 7.02      
6 A1 1177 1135 0.11      
7 A1 1053 1015 9.83      
8 A1 1017 980 0.28      
9 A1 983 948 0.92      
10 A1 617 595 1.37      
11 A2 964 930 0.00      
12 A2 813 784 0.00      
13 A2 400 386 0.00      
14 B1 991 955 0.16      
15 B1 893 861 0.39      
16 B1 719 694 90.74      
17 B1 661 637 16.11      
18 B1 424 409 6.43      
19 B2 3196 3082 20.98      
20 B2 3180 3067 5.79      
21 B2 1635 1577 1.87      
22 B2 1465 1412 4.73      
23 B2 1338 1290 0.32      
24 B2 1308 1262 0.07      
25 B2 1178 1136 0.16      
26 B2 1075 1036 4.42      
27 B2 598 577 0.63      

Unscaled Zero Point Vibrational Energy (zpe) 19156.2 cm-1
Scaled (by 0.9642) Zero Point Vibrational Energy (zpe) 18470.4 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/6-31+G**
ABC
0.20882 0.18635 0.09847

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31+G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.400
C2 0.000 1.228 0.773
C3 0.000 -1.228 0.773
C4 0.000 1.216 -0.633
C5 0.000 -1.216 -0.633
C6 0.000 0.000 -1.326
H7 0.000 2.164 1.325
H8 0.000 -2.164 1.325
H9 0.000 2.156 -1.179
H10 0.000 -2.156 -1.179
H11 0.000 0.000 -2.412

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11
C11.37881.37882.36882.36882.72592.16502.16503.36123.36123.8119
C21.37882.45601.40642.81942.43191.08623.43632.16133.90653.4136
C31.37882.45602.81941.40642.43193.43631.08623.90652.16133.4136
C42.36881.40642.81942.43121.39912.17543.90551.08713.41532.1545
C52.36882.81941.40642.43121.39913.90552.17543.41531.08712.1545
C62.72592.43192.43191.39911.39913.42163.42162.16082.16081.0860
H72.16501.08623.43632.17543.90553.42164.32742.50374.99264.3179
H82.16503.43631.08623.90552.17543.42164.32744.99262.50374.3179
H93.36122.16133.90651.08713.41532.16082.50374.99264.31152.4835
H103.36123.90652.16133.41531.08712.16084.99262.50374.31152.4835
H113.81193.41363.41362.15452.15451.08604.31794.31792.48352.4835

picture of phenyl state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 116.537 C1 C2 H7 122.436
C1 C3 C5 116.537 C1 C3 H8 122.436
C2 C1 C3 125.916 C2 C4 C6 120.182
C2 C4 H9 119.629 C3 C5 C6 120.182
C3 C5 H10 119.629 C4 C2 H7 121.027
C4 C6 C5 120.646 C4 C6 H11 119.677
C5 C3 H8 121.027 C5 C6 H11 119.677
C6 C4 H9 120.189 C6 C5 H10 120.189
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.102     -0.116
2 C -0.149     -0.038
3 C -0.149     -0.038
4 C -0.061     -0.158
5 C -0.061     -0.158
6 C -0.146     -0.064
7 H 0.141     0.111
8 H 0.141     0.111
9 H 0.129     0.123
10 H 0.129     0.123
11 H 0.128     0.105


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 -0.916 0.916
CHELPG        
AIM        
ESP 0.000 0.000 -0.890 0.890


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.457 0.000 0.000
y 0.000 -30.318 0.000
z 0.000 0.000 -34.480
Traceless
 xyz
x -7.057 0.000 0.000
y 0.000 6.650 0.000
z 0.000 0.000 0.407
Polar
3z2-r20.814
x2-y2-9.139
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> 122.590
(<r2>)1/2 11.072