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

using model chemistry: PBEPBEultrafine/TZVP

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/TZVP
 hartrees
Energy at 0K-231.884126
Energy at 298.15K 
HF Energy-231.884126
Nuclear repulsion energy208.099821
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/TZVP
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 3141 3105 8.13 327.76 0.03 0.07
2 A1 3037 3003 25.48 175.21 0.11 0.20
3 A1 1580 1562 0.13 44.20 0.02 0.05
4 A1 1141 1128 5.22 24.04 0.14 0.25
5 A1 997 986 2.62 9.25 0.71 0.83
6 A1 922 912 3.53 9.33 0.24 0.38
7 A1 851 841 0.45 4.86 0.67 0.80
8 A1 789 780 80.73 5.92 0.06 0.10
9 A1 379 374 5.14 8.87 0.57 0.73
10 A2 3107 3072 0.00 189.29 0.75 0.86
11 A2 1240 1226 0.00 5.67 0.75 0.86
12 A2 1155 1142 0.00 12.61 0.75 0.86
13 A2 932 921 0.00 0.87 0.75 0.86
14 A2 893 883 0.00 0.97 0.75 0.86
15 A2 763 755 0.00 2.11 0.75 0.86
16 A2 329 325 0.00 1.76 0.75 0.86
17 B1 3137 3102 40.96 70.91 0.75 0.86
18 B1 1553 1536 13.00 1.07 0.75 0.86
19 B1 1154 1140 0.53 2.90 0.75 0.86
20 B1 1066 1054 0.44 0.03 0.75 0.86
21 B1 975 964 0.00 6.47 0.75 0.86
22 B1 695 687 50.08 3.55 0.75 0.86
23 B2 3109 3073 25.79 50.53 0.75 0.86
24 B2 3031 2996 13.93 131.22 0.75 0.86
25 B2 1255 1240 38.69 0.02 0.75 0.86
26 B2 1117 1104 6.61 0.28 0.75 0.86
27 B2 926 916 3.07 0.42 0.75 0.86
28 B2 900 890 7.37 0.71 0.75 0.86
29 B2 805 796 12.70 0.96 0.75 0.86
30 B2 467 462 4.51 3.92 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 20721.2 cm-1
Scaled (by 0.9886) Zero Point Vibrational Energy (zpe) 20485.0 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/TZVP
ABC
0.26010 0.14843 0.11553

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/TZVP

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.789 0.522
C2 0.000 -0.789 0.522
H3 0.000 1.353 1.464
H4 0.000 -1.353 1.464
C5 -1.306 0.673 -0.265
C6 1.306 0.673 -0.265
C7 1.306 -0.673 -0.265
C8 -1.306 -0.673 -0.265
H9 -1.955 1.429 -0.709
H10 1.955 1.429 -0.709
H11 1.955 -1.429 -0.709
H12 -1.955 -1.429 -0.709

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.57821.09812.34001.52921.52922.11222.11222.39732.39733.20273.2027
C21.57822.34001.09812.11222.11221.52921.52923.20273.20272.39732.3973
H31.09812.34002.70542.27112.27112.96592.96592.92442.92444.03534.0353
H42.34001.09812.70542.96592.96592.27112.27114.03534.03532.92442.9244
C51.52922.11222.27112.96592.61302.93881.34501.09123.37753.90532.2439
C61.52922.11222.27112.96592.61301.34502.93883.37751.09122.24393.9053
C72.11221.52922.96592.27112.93881.34502.61303.90532.24391.09123.3775
C82.11221.52922.96592.27111.34502.93882.61302.24393.90533.37751.0912
H92.39733.20272.92444.03531.09123.37753.90532.24393.91004.84322.8581
H102.39733.20272.92444.03533.37751.09122.24393.90533.91002.85814.8432
H113.20272.39734.03532.92443.90532.24391.09123.37754.84322.85813.9100
H123.20272.39734.03532.92442.24393.90533.37751.09122.85814.84323.9100

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 120.879 C1 C2 H7 85.628
C1 C2 H8 85.628 C1 C5 H8 94.372
C1 C5 H9 131.640 C1 C6 H7 94.372
C1 C6 H10 131.640 C2 C1 C3 120.879
C2 C1 C5 85.628 C2 C1 C6 85.628
C2 H7 C6 94.372 C2 H7 H11 131.640
C2 H8 C5 94.372 C2 H8 H12 131.640
C3 C1 C5 118.709 C3 C1 C6 118.709
C4 C2 H7 118.709 C4 C2 H8 118.709
C5 C1 C6 117.372 C5 H8 H12 133.890
C6 H7 H11 133.890 H7 C6 H10 133.890
H8 C5 H9 133.890
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.120      
2 C -0.120      
3 H 0.154      
4 H 0.154      
5 C -0.137      
6 C -0.137      
7 C -0.137      
8 C -0.137      
9 H 0.120      
10 H 0.120      
11 H 0.120      
12 H 0.120      


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 -0.014 0.014
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.929 0.000 0.000
y 0.000 -33.220 0.000
z 0.000 0.000 -36.378
Traceless
 xyz
x -1.130 0.000 0.000
y 0.000 2.933 0.000
z 0.000 0.000 -1.804
Polar
3z2-r2-3.607
x2-y2-2.709
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.233 0.000 0.000
y 0.000 10.340 0.000
z 0.000 0.000 7.399


<r2> (average value of r2) Å2
<r2> 119.623
(<r2>)1/2 10.937