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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-230.293554
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 3106 5.33      
2 A1 3203 3091 7.63      
3 A1 3186 3074 0.50      
4 A1 1566 1511 0.00      
5 A1 1495 1443 13.91      
6 A1 1214 1172 0.05      
7 A1 1060 1023 5.75      
8 A1 1028 992 2.84      
9 A1 1018 982 0.02      
10 A1 645 623 1.17      
11 A2 990 955 0.00      
12 A2 833 804 0.00      
13 A2 412 398 0.00      
14 B1 1023 987 0.25      
15 B1 916 883 1.32      
16 B1 743 717 62.12      
17 B1 697 673 43.86      
18 B1 439 423 5.12      
19 B2 3207 3095 17.87      
20 B2 3192 3080 2.26      
21 B2 1616 1560 2.81      
22 B2 1490 1438 8.22      
23 B2 1357 1309 0.17      
24 B2 1297 1251 0.59      
25 B2 1224 1181 0.22      
26 B2 1084 1046 2.64      
27 B2 630 608 0.34      

Unscaled Zero Point Vibrational Energy (zpe) 19391.3 cm-1
Scaled (by 0.9649) Zero Point Vibrational Energy (zpe) 18710.6 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/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     -0.037
2 C -0.248     -0.132
3 C -0.248     -0.132
4 C -0.176     -0.141
5 C -0.176     -0.141
6 C -0.190     -0.128
7 H 0.205     0.146
8 H 0.205     0.146
9 H 0.193     0.141
10 H 0.193     0.141
11 H 0.191     0.135


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 0.000 0.000 -0.866 0.866


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