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/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2A1
Energy calculated at B3LYP/6-31G**
 hartrees
Energy at 0K-231.569222
Energy at 298.15K-231.573967
Nuclear repulsion energy194.241723
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/6-31G**
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 3205 3079 10.37      
2 A1 3192 3067 8.48      
3 A1 3173 3049 1.33      
4 A1 1591 1529 0.42      
5 A1 1484 1426 6.73      
6 A1 1181 1135 0.09      
7 A1 1057 1016 6.78      
8 A1 1023 983 0.10      
9 A1 985 947 1.59      
10 A1 618 594 1.83      
11 A2 961 924 0.00      
12 A2 818 786 0.00      
13 A2 403 387 0.00      
14 B1 990 951 0.18      
15 B1 892 858 0.32      
16 B1 724 696 55.58      
17 B1 673 647 10.56      
18 B1 428 412 4.27      
19 B2 3195 3070 26.07      
20 B2 3179 3055 5.54      
21 B2 1645 1580 1.79      
22 B2 1472 1414 5.58      
23 B2 1341 1289 0.18      
24 B2 1313 1261 0.14      
25 B2 1181 1135 0.26      
26 B2 1080 1038 2.83      
27 B2 600 577 0.53      

Unscaled Zero Point Vibrational Energy (zpe) 19203.4 cm-1
Scaled (by 0.9608) Zero Point Vibrational Energy (zpe) 18450.6 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/6-31G**
ABC
0.20919 0.18684 0.09869

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.400
C2 0.000 1.226 0.772
C3 0.000 -1.226 0.772
C4 0.000 1.214 -0.633
C5 0.000 -1.214 -0.633
C6 0.000 0.000 -1.324
H7 0.000 2.162 1.323
H8 0.000 -2.162 1.323
H9 0.000 2.154 -1.179
H10 0.000 -2.154 -1.179
H11 0.000 0.000 -2.410

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11
C11.37781.37782.36742.36742.72432.16352.16353.35983.35983.8103
C21.37782.45241.40432.81532.42841.08623.43292.15983.90233.4101
C31.37782.45242.81531.40432.42843.43291.08623.90232.15983.4101
C42.36741.40432.81532.42781.39732.17323.90151.08703.41162.1528
C52.36742.81531.40432.42781.39733.90152.17323.41161.08702.1528
C62.72432.42842.42841.39731.39733.41803.41802.15862.15861.0860
H72.16351.08623.43292.17323.90153.41804.32432.50174.98854.3142
H82.16353.43291.08623.90152.17323.41804.32434.98852.50174.3142
H93.35982.15983.90231.08703.41162.15862.50174.98854.30742.4810
H103.35983.90232.15983.41161.08702.15864.98852.50174.30742.4810
H113.81033.41013.41012.15282.15281.08604.31424.31422.48102.4810

picture of phenyl state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 116.627 C1 C2 H7 122.380
C1 C3 C5 116.627 C1 C3 H8 122.380
C2 C1 C3 125.745 C2 C4 C6 120.182
C2 C4 H9 119.668 C3 C5 C6 120.182
C3 C5 H10 119.668 C4 C2 H7 120.992
C4 C6 C5 120.636 C4 C6 H11 119.682
C5 C3 H8 120.992 C5 C6 H11 119.682
C6 C4 H9 120.149 C6 C5 H10 120.149
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.010      
2 C -0.110      
3 C -0.110      
4 C -0.080      
5 C -0.080      
6 C -0.085      
7 H 0.102      
8 H 0.102      
9 H 0.090      
10 H 0.090      
11 H 0.089      


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 -0.778 0.778
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.712 0.000 0.000
y 0.000 -29.688 0.000
z 0.000 0.000 -33.192
Traceless
 xyz
x -6.272 0.000 0.000
y 0.000 5.764 0.000
z 0.000 0.000 0.508
Polar
3z2-r21.016
x2-y2-8.024
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> 121.614
(<r2>)1/2 11.028