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All results from a given calculation for C6H6 (Dewar Benzene)

using model chemistry: PBEPBEultrafine/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBEPBEultrafine/3-21G
 hartrees
Energy at 0K-230.534726
Energy at 298.15K 
HF Energy-230.534726
Nuclear repulsion energy206.068458
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 PBEPBEultrafine/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 3187 3158 5.81 241.34 0.02 0.05
2 A1 3098 3070 18.21 118.63 0.18 0.31
3 A1 1561 1546 0.21 22.68 0.05 0.09
4 A1 1133 1123 6.97 18.98 0.24 0.39
5 A1 1004 995 5.77 14.09 0.73 0.84
6 A1 910 902 3.70 10.74 0.25 0.40
7 A1 824 816 1.16 7.17 0.74 0.85
8 A1 796 789 81.77 6.27 0.12 0.21
9 A1 380 376 4.55 13.82 0.64 0.78
10 A2 3146 3118 0.00 145.05 0.75 0.86
11 A2 1241 1230 0.00 1.68 0.75 0.86
12 A2 1159 1149 0.00 15.38 0.75 0.86
13 A2 918 909 0.00 0.00 0.75 0.86
14 A2 898 890 0.00 0.24 0.75 0.86
15 A2 786 779 0.00 5.11 0.75 0.86
16 A2 343 339 0.00 3.27 0.75 0.86
17 B1 3182 3153 36.09 54.07 0.75 0.86
18 B1 1534 1520 6.30 2.88 0.75 0.86
19 B1 1154 1144 0.01 5.85 0.75 0.86
20 B1 1071 1061 0.29 0.88 0.75 0.86
21 B1 953 944 1.26 7.49 0.75 0.86
22 B1 714 707 62.45 3.71 0.75 0.86
23 B2 3148 3120 17.86 38.36 0.75 0.86
24 B2 3089 3061 7.66 114.99 0.75 0.86
25 B2 1260 1248 35.53 0.02 0.75 0.86
26 B2 1101 1091 11.95 0.77 0.75 0.86
27 B2 947 939 6.89 0.29 0.75 0.86
28 B2 925 917 0.09 0.23 0.75 0.86
29 B2 811 804 10.57 2.71 0.75 0.86
30 B2 478 473 5.20 7.35 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 20874.7 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 20684.8 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 PBEPBEultrafine/3-21G
ABC
0.24852 0.14744 0.11526

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.809 0.558
C2 0.000 -0.809 0.558
H3 0.000 1.385 1.492
H4 0.000 -1.385 1.492
C5 -1.301 0.678 -0.279
C6 1.301 0.678 -0.279
C7 1.301 -0.678 -0.279
C8 -1.301 -0.678 -0.279
H9 -1.934 1.430 -0.748
H10 1.934 1.430 -0.748
H11 1.934 -1.430 -0.748
H12 -1.934 -1.430 -0.748

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.61901.09682.38481.55311.55312.14612.14612.41512.41513.23473.2347
C21.61902.38481.09682.14612.14611.55311.55313.23473.23472.41512.4151
H31.09682.38482.76992.30872.30873.01393.01392.95982.95984.08464.0846
H42.38481.09682.76993.01393.01392.30872.30874.08464.08462.95982.9598
C51.55312.14612.30873.01392.60292.93461.35521.08943.35493.88992.2501
C61.55312.14612.30873.01392.60291.35522.93463.35491.08942.25013.8899
C72.14611.55313.01392.30872.93461.35522.60293.88992.25011.08943.3549
C82.14611.55313.01392.30871.35522.93462.60292.25013.88993.35491.0894
H92.41513.23472.95984.08461.08943.35493.88992.25013.86814.81082.8603
H102.41513.23472.95984.08463.35491.08942.25013.88993.86812.86034.8108
H113.23472.41514.08462.95983.88992.25011.08943.35494.81082.86033.8681
H123.23472.41514.08462.95982.25013.88993.35491.08942.86034.81083.8681

picture of Dewar Benzene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 121.647 C1 C2 H7 85.128
C1 C2 H8 85.128 C1 C5 H8 94.872
C1 C5 H9 131.310 C1 C6 H7 94.872
C1 C6 H10 131.310 C2 C1 C3 121.647
C2 C1 C5 85.128 C2 C1 C6 85.128
C2 H7 C6 94.872 C2 H7 H11 131.310
C2 H8 C5 94.872 C2 H8 H12 131.310
C3 C1 C5 120.227 C3 C1 C6 120.227
C4 C2 H7 120.227 C4 C2 H8 120.227
C5 C1 C6 113.859 C5 H8 H12 133.696
C6 H7 H11 133.696 H7 C6 H10 133.696
H8 C5 H9 133.696
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.317      
2 C -0.317      
3 H 0.205      
4 H 0.205      
5 C -0.124      
6 C -0.124      
7 C -0.124      
8 C -0.124      
9 H 0.180      
10 H 0.180      
11 H 0.180      
12 H 0.180      


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 -0.035 0.035
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.278 0.000 0.000
y 0.000 -32.695 0.000
z 0.000 0.000 -35.868
Traceless
 xyz
x -0.997 0.000 0.000
y 0.000 2.879 0.000
z 0.000 0.000 -1.882
Polar
3z2-r2-3.764
x2-y2-2.584
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.927 0.000 0.000
y 0.000 8.951 0.000
z 0.000 0.000 5.338


<r2> (average value of r2) Å2
<r2> 120.429
(<r2>)1/2 10.974