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: mPW1PW91/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2A1
Energy calculated at mPW1PW91/6-311G*
 hartrees
Energy at 0K-231.547509
Energy at 298.15K-231.552275
Nuclear repulsion energy195.083781
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 mPW1PW91/6-311G*
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 3221 3074 12.38      
2 A1 3207 3061 8.83      
3 A1 3188 3043 1.33      
4 A1 1610 1536 0.56      
5 A1 1492 1424 9.59      
6 A1 1186 1132 0.05      
7 A1 1062 1014 10.38      
8 A1 1033 986 0.27      
9 A1 991 946 1.10      
10 A1 618 590 1.35      
11 A2 963 919 0.00      
12 A2 821 784 0.00      
13 A2 402 384 0.00      
14 B1 991 946 0.15      
15 B1 893 853 0.53      
16 B1 724 691 81.54      
17 B1 679 648 27.87      
18 B1 429 410 5.90      
19 B2 3210 3064 30.21      
20 B2 3195 3049 4.13      
21 B2 1665 1589 2.18      
22 B2 1480 1413 6.74      
23 B2 1356 1294 0.34      
24 B2 1318 1258 0.08      
25 B2 1185 1131 0.14      
26 B2 1087 1038 4.74      
27 B2 601 574 0.60      

Unscaled Zero Point Vibrational Energy (zpe) 19303.7 cm-1
Scaled (by 0.9544) Zero Point Vibrational Energy (zpe) 18423.5 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 mPW1PW91/6-311G*
ABC
0.21117 0.18844 0.09958

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-311G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.393
C2 0.000 1.221 0.768
C3 0.000 -1.221 0.768
C4 0.000 1.209 -0.629
C5 0.000 -1.209 -0.629
C6 0.000 0.000 -1.318
H7 0.000 2.154 1.320
H8 0.000 -2.154 1.320
H9 0.000 2.147 -1.175
H10 0.000 -2.147 -1.175
H11 0.000 0.000 -2.402

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11
C11.37141.37142.35572.35572.71082.15542.15543.34683.34683.7950
C21.37142.44141.39722.80242.41681.08433.41972.15213.88753.3969
C31.37142.44142.80241.39722.41683.41971.08433.88752.15213.3969
C42.35571.39722.80242.41711.39102.16623.88671.08513.39912.1456
C52.35572.80241.39722.41711.39103.88672.16623.39911.08512.1456
C62.71082.41682.41681.39101.39103.40553.40552.15132.15131.0842
H72.15541.08433.41972.16623.88673.40554.30842.49454.97184.3002
H82.15543.41971.08433.88672.16623.40554.30844.97182.49454.3002
H93.34682.15213.88751.08513.39912.15132.49454.97184.29312.4726
H103.34683.88752.15213.39911.08512.15134.97182.49454.29312.4726
H113.79503.39693.39692.14562.14561.08424.30024.30022.47262.4726

picture of phenyl state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 116.611 C1 C2 H7 122.305
C1 C3 C5 116.611 C1 C3 H8 122.305
C2 C1 C3 125.779 C2 C4 C6 120.176
C2 C4 H9 119.685 C3 C5 C6 120.176
C3 C5 H10 119.685 C4 C2 H7 121.084
C4 C6 C5 120.648 C4 C6 H11 119.676
C5 C3 H8 121.084 C5 C6 H11 119.676
C6 C4 H9 120.140 C6 C5 H10 120.140
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.019      
2 C -0.233      
3 C -0.233      
4 C -0.210      
5 C -0.210      
6 C -0.195      
7 H 0.221      
8 H 0.221      
9 H 0.207      
10 H 0.207      
11 H 0.207      


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 -0.861 0.861
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -38.930 0.000 0.000
y 0.000 -29.338 0.000
z 0.000 0.000 -33.273
Traceless
 xyz
x -7.624 0.000 0.000
y 0.000 6.763 0.000
z 0.000 0.000 0.861
Polar
3z2-r21.722
x2-y2-9.592
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> 120.948
(<r2>)1/2 10.998