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All results from a given calculation for C6H6 (Prismane)

using model chemistry: PBE1PBE/aug-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/aug-cc-pVDZ
 hartrees
Energy at 0K-231.819850
Energy at 298.15K-231.826483
HF Energy-231.819850
Nuclear repulsion energy220.408002
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/aug-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' 3240 3115 0.00      
2 A1' 1338 1287 0.00      
3 A1' 1140 1097 0.00      
4 A1' 954 918 0.00      
5 A1" 965 928 0.00      
6 A1" 632 607 0.00      
7 A2' 981 943 0.00      
8 A2" 3232 3108 43.40      
9 A2" 1375 1322 0.28      
10 A2" 978 940 3.94      
11 E' 3225 3101 24.09      
11 E' 3225 3101 24.08      
12 E' 1270 1221 12.89      
12 E' 1270 1221 12.89      
13 E' 957 920 3.91      
13 E' 957 920 3.91      
14 E' 861 828 2.23      
14 E' 861 828 2.23      
15 E' 812 781 50.67      
15 E' 812 781 50.67      
16 E" 3212 3088 0.00      
16 E" 3212 3088 0.00      
17 E" 1166 1121 0.00      
17 E" 1166 1121 0.00      
18 E" 1020 981 0.00      
18 E" 1020 981 0.00      
19 E" 787 757 0.00      
19 E" 787 757 0.00      
20 E" 668 642 0.00      
20 E" 668 642 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 21393.9 cm-1
Scaled (by 0.9616) Zero Point Vibrational Energy (zpe) 20572.4 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/aug-cc-pVDZ
ABC
0.23303 0.18040 0.18040

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

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.877 0.776
C2 -0.759 -0.438 0.776
C3 0.759 -0.438 0.776
C4 0.000 0.877 -0.776
C5 0.759 -0.438 -0.776
C6 -0.759 -0.438 -0.776
H7 0.000 1.675 1.516
H8 -1.451 -0.838 1.516
H9 1.451 -0.838 1.516
H10 0.000 1.675 -1.516
H11 1.451 -0.838 -1.516
H12 -1.451 -0.838 -1.516

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.51891.51891.55252.17202.17201.08812.36452.36452.42713.20903.2090
C21.51891.51892.17202.17201.55252.36451.08812.36453.20903.20902.4271
C31.51891.51892.17201.55252.17202.36452.36451.08813.20902.42713.2090
C41.55252.17202.17201.51891.51892.42713.20903.20901.08812.36452.3645
C52.17202.17201.55251.51891.51893.20903.20902.42712.36451.08812.3645
C62.17201.55252.17201.51891.51893.20902.42713.20902.36452.36451.0881
H71.08812.36452.36452.42713.20903.20902.90142.90143.03174.19634.1963
H82.36451.08812.36453.20903.20902.42712.90142.90144.19634.19633.0317
H92.36452.36451.08813.20902.42713.20902.90142.90144.19633.03174.1963
H102.42713.20903.20901.08812.36452.36453.03174.19634.19632.90142.9014
H113.20903.20902.42712.36451.08812.36454.19634.19633.03172.90142.9014
H123.20902.42713.20902.36452.36451.08814.19633.03174.19632.90142.9014

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 129.437 C1 C3 C2 60.000
C1 C3 C5 90.000 C1 C3 H9 129.437
C1 C4 C5 90.000 C1 C4 C6 90.000
C1 C4 H10 132.820 C2 C1 C3 60.000
C2 C1 C4 90.000 C2 C1 H7 129.437
C2 C3 C5 90.000 C2 C3 H9 129.437
C2 C6 C4 90.000 C2 C6 C5 90.000
C2 C6 H12 132.820 C3 C1 C4 90.000
C3 C1 H7 129.437 C3 C2 C6 90.000
C3 C2 H8 129.437 C3 C5 C4 90.000
C3 C5 C6 90.000 C3 C5 H11 132.820
C4 C1 H7 132.820 C4 C5 C6 60.000
C4 C5 H11 129.437 C4 C6 H12 129.437
C5 C3 H9 132.820 C5 C4 C6 60.000
C5 C4 H10 129.437 C5 C6 H12 129.437
C6 C2 H8 132.820 C6 C4 C5 60.000
C6 C4 H10 129.437 C6 C5 H11 129.437
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.575      
2 C 0.575      
3 C 0.575      
4 C 0.575      
5 C 0.575      
6 C 0.575      
7 H -0.575      
8 H -0.575      
9 H -0.575      
10 H -0.575      
11 H -0.575      
12 H -0.575      


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 -35.626 0.000 0.000
y 0.000 -35.626 0.000
z 0.000 0.000 -33.027
Traceless
 xyz
x -1.299 0.000 0.000
y 0.000 -1.299 0.000
z 0.000 0.000 2.599
Polar
3z2-r25.197
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 8.576 0.000 0.000
y 0.000 8.576 0.000
z 0.000 0.000 9.060


<r2> (average value of r2) Å2
<r2> 101.711
(<r2>)1/2 10.085