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All results from a given calculation for C6H6 (Prismane)

using model chemistry: PBE1PBE/cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D3H 1A1'
Energy calculated at PBE1PBE/cc-pVDZ
 hartrees
Energy at 0K-231.812351
Energy at 298.15K-231.819014
HF Energy-231.812351
Nuclear repulsion energy220.435187
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 PBE1PBE/cc-pVDZ
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' 3239 3114 0.00      
2 A1' 1345 1294 0.00      
3 A1' 1144 1100 0.00      
4 A1' 947 911 0.00      
5 A1" 995 957 0.00      
6 A1" 644 619 0.00      
7 A2' 992 954 0.00      
8 A2" 3231 3106 39.43      
9 A2" 1383 1329 0.13      
10 A2" 975 937 3.47      
11 E' 3224 3100 20.41      
11 E' 3224 3100 20.41      
12 E' 1271 1222 11.55      
12 E' 1271 1222 11.55      
13 E' 968 931 2.42      
13 E' 968 931 2.41      
14 E' 858 825 4.91      
14 E' 858 825 4.91      
15 E' 819 788 45.94      
15 E' 819 788 45.94      
16 E" 3210 3087 0.00      
16 E" 3210 3087 0.00      
17 E" 1166 1121 0.00      
17 E" 1166 1121 0.00      
18 E" 1030 990 0.00      
18 E" 1030 990 0.00      
19 E" 796 766 0.00      
19 E" 796 766 0.00      
20 E" 681 655 0.00      
20 E" 681 655 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 21470.4 cm-1
Scaled (by 0.9615) Zero Point Vibrational Energy (zpe) 20643.8 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 PBE1PBE/cc-pVDZ
ABC
0.23315 0.18046 0.18046

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/cc-pVDZ

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.876 0.776
C2 -0.759 -0.438 0.776
C3 0.759 -0.438 0.776
C4 0.000 0.876 -0.776
C5 0.759 -0.438 -0.776
C6 -0.759 -0.438 -0.776
H7 0.000 1.676 1.517
H8 -1.452 -0.838 1.517
H9 1.452 -0.838 1.517
H10 0.000 1.676 -1.517
H11 1.452 -0.838 -1.517
H12 -1.452 -0.838 -1.517

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.51811.51811.55182.17092.17091.09052.36572.36572.42853.21023.2102
C21.51811.51812.17092.17091.55182.36571.09052.36573.21023.21022.4285
C31.51811.51812.17091.55182.17092.36572.36571.09053.21022.42853.2102
C41.55182.17092.17091.51811.51812.42853.21023.21021.09052.36572.3657
C52.17092.17091.55181.51811.51813.21023.21022.42852.36571.09052.3657
C62.17091.55182.17091.51811.51813.21022.42853.21022.36572.36571.0905
H71.09052.36572.36572.42853.21023.21022.90342.90343.03434.19964.1996
H82.36571.09052.36573.21023.21022.42852.90342.90344.19964.19963.0343
H92.36572.36571.09053.21022.42853.21022.90342.90344.19963.03434.1996
H102.42853.21023.21021.09052.36572.36573.03434.19964.19962.90342.9034
H113.21023.21022.42852.36571.09052.36574.19964.19963.03432.90342.9034
H123.21022.42853.21022.36572.36571.09054.19963.03434.19962.90342.9034

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 129.432 C1 C3 C2 60.000
C1 C3 C5 90.000 C1 C3 H9 129.432
C1 C4 C5 90.000 C1 C4 C6 90.000
C1 C4 H10 132.826 C2 C1 C3 60.000
C2 C1 C4 90.000 C2 C1 H7 129.432
C2 C3 C5 90.000 C2 C3 H9 129.432
C2 C6 C4 90.000 C2 C6 C5 90.000
C2 C6 H12 132.826 C3 C1 C4 90.000
C3 C1 H7 129.432 C3 C2 C6 90.000
C3 C2 H8 129.432 C3 C5 C4 90.000
C3 C5 C6 90.000 C3 C5 H11 132.826
C4 C1 H7 132.826 C4 C5 C6 60.000
C4 C5 H11 129.432 C4 C6 H12 129.432
C5 C3 H9 132.826 C5 C4 C6 60.000
C5 C4 H10 129.432 C5 C6 H12 129.432
C6 C2 H8 132.826 C6 C4 C5 60.000
C6 C4 H10 129.432 C6 C5 H11 129.432
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.010      
2 C 0.010      
3 C 0.010      
4 C 0.010      
5 C 0.010      
6 C 0.010      
7 H -0.010      
8 H -0.010      
9 H -0.010      
10 H -0.010      
11 H -0.010      
12 H -0.010      


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 -35.414 0.000 0.000
y 0.000 -35.414 0.000
z 0.000 0.000 -32.695
Traceless
 xyz
x -1.360 0.000 0.000
y 0.000 -1.360 0.000
z 0.000 0.000 2.720
Polar
3z2-r25.439
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 7.515 0.000 0.000
y 0.000 7.515 0.000
z 0.000 0.000 8.180


<r2> (average value of r2) Å2
<r2> 101.551
(<r2>)1/2 10.077