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All results from a given calculation for C6H6 (Prismane)

using model chemistry: B3PW91/6-311+G(3df,2p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D3H 1A1'
Energy calculated at B3PW91/6-311+G(3df,2p)
 hartrees
Energy at 0K-232.052410
Energy at 298.15K-232.059059
HF Energy-232.052410
Nuclear repulsion energy221.061979
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 B3PW91/6-311+G(3df,2p)
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' 3214 3077 0.00      
2 A1' 1316 1260 0.00      
3 A1' 1129 1081 0.00      
4 A1' 954 914 0.00      
5 A1" 999 957 0.00      
6 A1" 644 616 0.00      
7 A2' 1002 959 0.00      
8 A2" 3207 3070 43.15      
9 A2" 1358 1300 0.21      
10 A2" 981 939 3.81      
11 E' 3200 3064 24.32      
11 E' 3200 3064 24.32      
12 E' 1265 1211 13.03      
12 E' 1265 1211 13.04      
13 E' 944 904 2.62      
13 E' 944 904 2.62      
14 E' 857 820 0.38      
14 E' 857 820 0.38      
15 E' 821 786 52.45      
15 E' 821 786 52.45      
16 E" 3188 3051 0.00      
16 E" 3188 3051 0.00      
17 E" 1174 1124 0.00      
17 E" 1174 1124 0.00      
18 E" 1019 975 0.00      
18 E" 1019 975 0.00      
19 E" 785 751 0.00      
19 E" 785 751 0.00      
20 E" 685 655 0.00      
20 E" 685 655 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 21337.8 cm-1
Scaled (by 0.9573) Zero Point Vibrational Energy (zpe) 20426.7 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 B3PW91/6-311+G(3df,2p)
ABC
0.23458 0.18130 0.18130

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-311+G(3df,2p)

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.874 0.775
C2 -0.757 -0.437 0.775
C3 0.757 -0.437 0.775
C4 0.000 0.874 -0.775
C5 0.757 -0.437 -0.775
C6 -0.757 -0.437 -0.775
H7 0.000 1.668 1.509
H8 -1.444 -0.834 1.509
H9 1.444 -0.834 1.509
H10 0.000 1.668 -1.509
H11 1.444 -0.834 -1.509
H12 -1.444 -0.834 -1.509

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.51441.51441.55072.16752.16751.08072.35432.35432.41813.19723.1972
C21.51441.51442.16752.16751.55072.35431.08072.35433.19723.19722.4181
C31.51441.51442.16751.55072.16752.35432.35431.08073.19722.41813.1972
C41.55072.16752.16751.51441.51442.41813.19723.19721.08072.35432.3543
C52.16752.16751.55071.51441.51443.19723.19722.41812.35431.08072.3543
C62.16751.55072.16751.51441.51443.19722.41813.19722.35432.35431.0807
H71.08072.35432.35432.41813.19723.19722.88892.88893.01774.17764.1776
H82.35431.08072.35433.19723.19722.41812.88892.88894.17764.17763.0177
H92.35432.35431.08073.19722.41813.19722.88892.88894.17763.01774.1776
H102.41813.19723.19721.08072.35432.35433.01774.17764.17762.88892.8889
H113.19723.19722.41812.35431.08072.35434.17764.17763.01772.88892.8889
H123.19722.41813.19722.35432.35431.08074.17763.01774.17762.88892.8889

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 129.491 C1 C3 C2 60.000
C1 C3 C5 90.000 C1 C3 H9 129.491
C1 C4 C5 90.000 C1 C4 C6 90.000
C1 C4 H10 132.749 C2 C1 C3 60.000
C2 C1 C4 90.000 C2 C1 H7 129.491
C2 C3 C5 90.000 C2 C3 H9 129.491
C2 C6 C4 90.000 C2 C6 C5 90.000
C2 C6 H12 132.749 C3 C1 C4 90.000
C3 C1 H7 129.491 C3 C2 C6 90.000
C3 C2 H8 129.491 C3 C5 C4 90.000
C3 C5 C6 90.000 C3 C5 H11 132.749
C4 C1 H7 132.749 C4 C5 C6 60.000
C4 C5 H11 129.491 C4 C6 H12 129.491
C5 C3 H9 132.749 C5 C4 C6 60.000
C5 C4 H10 129.491 C5 C6 H12 129.491
C6 C2 H8 132.749 C6 C4 C5 60.000
C6 C4 H10 129.491 C6 C5 H11 129.491
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-311+G(3df,2p) 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 -35.432 0.000 0.000
y 0.000 -35.432 0.000
z 0.000 0.000 -32.877
Traceless
 xyz
x -1.277 0.000 0.000
y 0.000 -1.277 0.000
z 0.000 0.000 2.554
Polar
3z2-r25.109
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 8.455 0.000 0.000
y 0.000 8.455 0.000
z 0.000 0.000 8.901


<r2> (average value of r2) Å2
<r2> 101.110
(<r2>)1/2 10.055