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All results from a given calculation for C6H6 (Prismane)

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 D3H 1A1'
Energy calculated at PBEPBEultrafine/3-21G
 hartrees
Energy at 0K-230.478443
Energy at 298.15K-230.484940
HF Energy-230.478443
Nuclear repulsion energy216.123125
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' 3206 3177 0.00      
2 A1' 1223 1212 0.00      
3 A1' 1089 1079 0.00      
4 A1' 933 925 0.00      
5 A1" 1003 994 0.00      
6 A1" 617 612 0.00      
7 A2' 1000 991 0.00      
8 A2" 3190 3161 43.11      
9 A2" 1255 1244 1.21      
10 A2" 940 931 4.70      
11 E' 3180 3151 17.94      
11 E' 3180 3151 17.94      
12 E' 1210 1199 19.69      
12 E' 1210 1199 19.69      
13 E' 909 900 3.59      
13 E' 909 900 3.59      
14 E' 822 815 0.17      
14 E' 822 815 0.17      
15 E' 802 795 56.70      
15 E' 802 795 56.70      
16 E" 3168 3139 0.00      
16 E" 3168 3139 0.00      
17 E" 1137 1127 0.00      
17 E" 1137 1127 0.00      
18 E" 990 981 0.00      
18 E" 990 981 0.00      
19 E" 744 737 0.00      
19 E" 744 737 0.00      
20 E" 702 696 0.00      
20 E" 702 696 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 20892.0 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 20701.9 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
0.22214 0.17378 0.17378

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

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.900 0.792
C2 -0.779 -0.450 0.792
C3 0.779 -0.450 0.792
C4 0.000 0.900 -0.792
C5 0.779 -0.450 -0.792
C6 -0.779 -0.450 -0.792
H7 0.000 1.707 1.518
H8 -1.479 -0.854 1.518
H9 1.479 -0.854 1.518
H10 0.000 1.707 -1.518
H11 1.479 -0.854 -1.518
H12 -1.479 -0.854 -1.518

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.55801.55801.58342.22142.22141.08632.40572.40572.44683.25493.2549
C21.55801.55802.22142.22141.58342.40571.08632.40573.25493.25492.4468
C31.55801.55802.22141.58342.22142.40572.40571.08633.25492.44683.2549
C41.58342.22142.22141.55801.55802.44683.25493.25491.08632.40572.4057
C52.22142.22141.58341.55801.55803.25493.25492.44682.40571.08632.4057
C62.22141.58342.22141.55801.55803.25492.44683.25492.40572.40571.0863
H71.08632.40572.40572.44683.25493.25492.95732.95733.03574.23814.2381
H82.40571.08632.40573.25493.25492.44682.95732.95734.23814.23813.0357
H92.40572.40571.08633.25492.44683.25492.95732.95734.23813.03574.2381
H102.44683.25493.25491.08632.40572.40573.03574.23814.23812.95732.9573
H113.25493.25492.44682.40571.08632.40574.23814.23813.03572.95732.9573
H123.25492.44683.25492.40572.40571.08634.23813.03574.23812.95732.9573

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 130.097 C1 C3 C2 60.000
C1 C3 C5 90.000 C1 C3 H9 130.097
C1 C4 C5 90.000 C1 C4 C6 90.000
C1 C4 H10 131.950 C2 C1 C3 60.000
C2 C1 C4 90.000 C2 C1 H7 130.097
C2 C3 C5 90.000 C2 C3 H9 130.097
C2 C6 C4 90.000 C2 C6 C5 90.000
C2 C6 H12 131.950 C3 C1 C4 90.000
C3 C1 H7 130.097 C3 C2 C6 90.000
C3 C2 H8 130.097 C3 C5 C4 90.000
C3 C5 C6 90.000 C3 C5 H11 131.950
C4 C1 H7 131.950 C4 C5 C6 60.000
C4 C5 H11 130.097 C4 C6 H12 130.097
C5 C3 H9 131.950 C5 C4 C6 60.000
C5 C4 H10 130.097 C5 C6 H12 130.097
C6 C2 H8 131.950 C6 C4 C5 60.000
C6 C4 H10 130.097 C6 C5 H11 130.097
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 -0.167      
2 C -0.167      
3 C -0.167      
4 C -0.167      
5 C -0.167      
6 C -0.167      
7 H 0.167      
8 H 0.167      
9 H 0.167      
10 H 0.167      
11 H 0.167      
12 H 0.167      


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 -35.517 0.000 0.000
y 0.000 -35.517 0.000
z 0.000 0.000 -32.208
Traceless
 xyz
x -1.654 0.000 0.000
y 0.000 -1.654 0.000
z 0.000 0.000 3.309
Polar
3z2-r26.618
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 6.860 0.000 0.000
y 0.000 6.860 0.000
z 0.000 0.000 7.379


<r2> (average value of r2) Å2
<r2> 104.505
(<r2>)1/2 10.223