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All results from a given calculation for C6H6 (Prismane)

using model chemistry: B3LYPultrafine/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D3H 1A1'
Energy calculated at B3LYPultrafine/6-31G(2df,p)
 hartrees
Energy at 0K-232.073041
Energy at 298.15K-232.079700
HF Energy-232.073041
Nuclear repulsion energy220.047776
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 B3LYPultrafine/6-31G(2df,p)
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' 3216 3104 0.00      
2 A1' 1302 1256 0.00      
3 A1' 1119 1080 0.00      
4 A1' 950 917 0.00      
5 A1" 1014 978 0.00      
6 A1" 649 627 0.00      
7 A2' 1004 969 0.00      
8 A2" 3209 3096 52.70      
9 A2" 1354 1306 0.00      
10 A2" 979 945 1.66      
11 E' 3202 3090 30.22      
11 E' 3202 3090 30.22      
12 E' 1267 1223 7.17      
12 E' 1267 1223 7.17      
13 E' 943 910 0.09      
13 E' 943 910 0.09      
14 E' 849 820 0.00      
14 E' 849 820 0.00      
15 E' 826 797 40.78      
15 E' 826 797 40.78      
16 E" 3189 3078 0.00      
16 E" 3189 3078 0.00      
17 E" 1179 1137 0.00      
17 E" 1179 1137 0.00      
18 E" 1026 991 0.00      
18 E" 1026 991 0.00      
19 E" 785 758 0.00      
19 E" 785 758 0.00      
20 E" 708 683 0.00      
20 E" 708 683 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 21372.7 cm-1
Scaled (by 0.965) Zero Point Vibrational Energy (zpe) 20624.6 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 B3LYPultrafine/6-31G(2df,p)
ABC
0.23227 0.17963 0.17963

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/6-31G(2df,p)

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.879 0.779
C2 -0.761 -0.439 0.779
C3 0.761 -0.439 0.779
C4 0.000 0.879 -0.779
C5 0.761 -0.439 -0.779
C6 -0.761 -0.439 -0.779
H7 0.000 1.675 1.512
H8 -1.450 -0.837 1.512
H9 1.450 -0.837 1.512
H10 0.000 1.675 -1.512
H11 1.450 -0.837 -1.512
H12 -1.450 -0.837 -1.512

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.52231.52231.55882.17882.17881.08172.36342.36342.42563.20923.2092
C21.52231.52232.17882.17881.55882.36341.08172.36343.20923.20922.4256
C31.52231.52232.17881.55882.17882.36342.36341.08173.20922.42563.2092
C41.55882.17882.17881.52231.52232.42563.20923.20921.08172.36342.3634
C52.17882.17881.55881.52231.52233.20923.20922.42562.36341.08172.3634
C62.17881.55882.17881.52231.52233.20922.42563.20922.36342.36341.0817
H71.08172.36342.36342.42563.20923.20922.90092.90093.02374.19024.1902
H82.36341.08172.36343.20923.20922.42562.90092.90094.19024.19023.0237
H92.36342.36341.08173.20922.42563.20922.90092.90094.19023.02374.1902
H102.42563.20923.20921.08172.36342.36343.02374.19024.19022.90092.9009
H113.20923.20922.42562.36341.08172.36344.19024.19023.02372.90092.9009
H123.20922.42563.20922.36342.36341.08174.19023.02374.19022.90092.9009

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 129.589 C1 C3 C2 60.000
C1 C3 C5 90.000 C1 C3 H9 129.589
C1 C4 C5 90.000 C1 C4 C6 90.000
C1 C4 H10 132.619 C2 C1 C3 60.000
C2 C1 C4 90.000 C2 C1 H7 129.589
C2 C3 C5 90.000 C2 C3 H9 129.589
C2 C6 C4 90.000 C2 C6 C5 90.000
C2 C6 H12 132.619 C3 C1 C4 90.000
C3 C1 H7 129.589 C3 C2 C6 90.000
C3 C2 H8 129.589 C3 C5 C4 90.000
C3 C5 C6 90.000 C3 C5 H11 132.619
C4 C1 H7 132.619 C4 C5 C6 60.000
C4 C5 H11 129.589 C4 C6 H12 129.589
C5 C3 H9 132.619 C5 C4 C6 60.000
C5 C4 H10 129.589 C5 C6 H12 129.589
C6 C2 H8 132.619 C6 C4 C5 60.000
C6 C4 H10 129.589 C6 C5 H11 129.589
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.083      
2 C -0.083      
3 C -0.083      
4 C -0.083      
5 C -0.083      
6 C -0.083      
7 H 0.083      
8 H 0.083      
9 H 0.083      
10 H 0.083      
11 H 0.083      
12 H 0.083      


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 -35.033 0.000 0.000
y 0.000 -35.033 0.000
z 0.000 0.000 -32.754
Traceless
 xyz
x -1.140 0.000 0.000
y 0.000 -1.140 0.000
z 0.000 0.000 2.279
Polar
3z2-r24.558
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 7.398 0.000 0.000
y 0.000 7.398 0.000
z 0.000 0.000 8.091


<r2> (average value of r2) Å2
<r2> 101.627
(<r2>)1/2 10.081