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All results from a given calculation for C6H6 (Prismane)

using model chemistry: PBEPBEultrafine/TZVP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D3H 1A1'
Energy calculated at PBEPBEultrafine/TZVP
 hartrees
Energy at 0K-231.830907
Energy at 298.15K-231.837356
HF Energy-231.830907
Nuclear repulsion energy219.511269
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' 3142 3106 0.00      
2 A1' 1271 1256 0.00      
3 A1' 1094 1081 0.00      
4 A1' 923 913 0.00      
5 A1" 952 941 0.00      
6 A1" 623 616 0.00      
7 A2' 953 942 0.00      
8 A2" 3136 3100 51.37      
9 A2" 1306 1291 0.00      
10 A2" 948 937 3.06      
11 E' 3129 3094 28.41      
11 E' 3129 3094 28.41      
12 E' 1217 1203 14.01      
12 E' 1217 1203 14.01      
13 E' 906 896 1.74      
13 E' 906 896 1.74      
14 E' 826 816 0.19      
14 E' 826 816 0.19      
15 E' 791 782 55.70      
15 E' 791 782 55.70      
16 E" 3116 3081 0.00      
16 E" 3116 3081 0.00      
17 E" 1133 1120 0.00      
17 E" 1133 1120 0.00      
18 E" 975 964 0.00      
18 E" 975 964 0.00      
19 E" 752 743 0.00      
19 E" 752 743 0.00      
20 E" 650 642 0.00      
20 E" 650 642 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 20667.8 cm-1
Scaled (by 0.9886) Zero Point Vibrational Energy (zpe) 20432.2 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
0.23114 0.17886 0.17886

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

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.881 0.780
C2 -0.763 -0.440 0.780
C3 0.763 -0.440 0.780
C4 0.000 0.881 -0.780
C5 0.763 -0.440 -0.780
C6 -0.763 -0.440 -0.780
H7 0.000 1.680 1.520
H8 -1.455 -0.840 1.520
H9 1.455 -0.840 1.520
H10 0.000 1.680 -1.520
H11 1.455 -0.840 -1.520
H12 -1.455 -0.840 -1.520

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.52571.52571.56012.18212.18211.08902.37182.37182.43493.22003.2200
C21.52571.52572.18212.18211.56012.37181.08902.37183.22003.22002.4349
C31.52571.52572.18211.56012.18212.37182.37181.08903.22002.43493.2200
C41.56012.18212.18211.52571.52572.43493.22003.22001.08902.37182.3718
C52.18212.18211.56011.52571.52573.22003.22002.43492.37181.08902.3718
C62.18211.56012.18211.52571.52573.22002.43493.22002.37182.37181.0890
H71.08902.37182.37182.43493.22003.22002.90962.90963.04024.20814.2081
H82.37181.08902.37183.22003.22002.43492.90962.90964.20814.20813.0402
H92.37182.37181.08903.22002.43493.22002.90962.90964.20813.04024.2081
H102.43493.22003.22001.08902.37182.37183.04024.20814.20812.90962.9096
H113.22003.22002.43492.37181.08902.37184.20814.20813.04022.90962.9096
H123.22002.43493.22002.37182.37181.08904.20813.04024.20812.90962.9096

picture of Prismane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 60.000 C1 C2 C6 90.000
C1 C2 H8 129.447 C1 C3 C2 60.000
C1 C3 C5 90.000 C1 C3 H9 129.447
C1 C4 C5 90.000 C1 C4 C6 90.000
C1 C4 H10 132.806 C2 C1 C3 60.000
C2 C1 C4 90.000 C2 C1 H7 129.447
C2 C3 C5 90.000 C2 C3 H9 129.447
C2 C6 C4 90.000 C2 C6 C5 90.000
C2 C6 H12 132.806 C3 C1 C4 90.000
C3 C1 H7 129.447 C3 C2 C6 90.000
C3 C2 H8 129.447 C3 C5 C4 90.000
C3 C5 C6 90.000 C3 C5 H11 132.806
C4 C1 H7 132.806 C4 C5 C6 60.000
C4 C5 H11 129.447 C4 C6 H12 129.447
C5 C3 H9 132.806 C5 C4 C6 60.000
C5 C4 H10 129.447 C5 C6 H12 129.447
C6 C2 H8 132.806 C6 C4 C5 60.000
C6 C4 H10 129.447 C6 C5 H11 129.447
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 -0.134      
2 C -0.134      
3 C -0.134      
4 C -0.134      
5 C -0.134      
6 C -0.134      
7 H 0.134      
8 H 0.134      
9 H 0.134      
10 H 0.134      
11 H 0.134      
12 H 0.134      


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 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.859 0.000 0.000
y 0.000 -35.859 0.000
z 0.000 0.000 -33.064
Traceless
 xyz
x -1.397 0.000 0.000
y 0.000 -1.397 0.000
z 0.000 0.000 2.795
Polar
3z2-r25.590
x2-y20.000
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.384 0.000 0.000
y 0.000 8.384 0.000
z 0.000 0.000 8.981


<r2> (average value of r2) Å2
<r2> 102.450
(<r2>)1/2 10.122