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All results from a given calculation for C6H6 (Prismane)

using model chemistry: B3LYPultrafine/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 B3LYPultrafine/cc-pVDZ
 hartrees
Energy at 0K-232.069087
Energy at 298.15K-232.075678
HF Energy-232.069087
Nuclear repulsion energy219.309027
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/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' 3203 3107 0.00      
2 A1' 1307 1268 0.00      
3 A1' 1116 1083 0.00      
4 A1' 930 903 0.00      
5 A1" 993 964 0.00      
6 A1" 641 621 0.00      
7 A2' 987 957 0.00      
8 A2" 3195 3099 53.11      
9 A2" 1349 1308 0.00      
10 A2" 961 933 2.30      
11 E' 3189 3093 28.71      
11 E' 3189 3093 28.71      
12 E' 1252 1214 9.16      
12 E' 1252 1214 9.16      
13 E' 934 906 0.96      
13 E' 934 906 0.96      
14 E' 834 809 1.39      
14 E' 834 809 1.39      
15 E' 808 784 44.60      
15 E' 808 784 44.60      
16 E" 3176 3081 0.00      
16 E" 3176 3081 0.00      
17 E" 1159 1124 0.00      
17 E" 1159 1124 0.00      
18 E" 1014 984 0.00      
18 E" 1014 984 0.00      
19 E" 774 750 0.00      
19 E" 774 750 0.00      
20 E" 688 667 0.00      
20 E" 688 667 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 21167.9 cm-1
Scaled (by 0.97) Zero Point Vibrational Energy (zpe) 20532.8 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 B3LYPultrafine/cc-pVDZ
ABC
0.23077 0.17852 0.17852

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/cc-pVDZ

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.881 0.781
C2 -0.763 -0.441 0.781
C3 0.763 -0.441 0.781
C4 0.000 0.881 -0.781
C5 0.763 -0.441 -0.781
C6 -0.763 -0.441 -0.781
H7 0.000 1.682 1.522
H8 -1.457 -0.841 1.522
H9 1.457 -0.841 1.522
H10 0.000 1.682 -1.522
H11 1.457 -0.841 -1.522
H12 -1.457 -0.841 -1.522

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.52661.52661.56182.18402.18401.09102.37462.37462.43793.22363.2236
C21.52661.52662.18402.18401.56182.37461.09102.37463.22363.22362.4379
C31.52661.52662.18401.56182.18402.37462.37461.09103.22362.43793.2236
C41.56182.18402.18401.52661.52662.43793.22363.22361.09102.37462.3746
C52.18402.18401.56181.52661.52663.22363.22362.43792.37461.09102.3746
C62.18401.56182.18401.52661.52663.22362.43793.22362.37462.37461.0910
H71.09102.37462.37462.43793.22363.22362.91382.91383.04344.21334.2133
H82.37461.09102.37463.22363.22362.43792.91382.91384.21334.21333.0434
H92.37462.37461.09103.22362.43793.22362.91382.91384.21333.04344.2133
H102.43793.22363.22361.09102.37462.37463.04344.21334.21332.91382.9138
H113.22363.22362.43792.37461.09102.37464.21334.21333.04342.91382.9138
H123.22362.43793.22362.37462.37461.09104.21333.04344.21332.91382.9138

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 129.476 C1 C3 C2 60.000
C1 C3 C5 90.000 C1 C3 H9 129.476
C1 C4 C5 90.000 C1 C4 C6 90.000
C1 C4 H10 132.769 C2 C1 C3 60.000
C2 C1 C4 90.000 C2 C1 H7 129.476
C2 C3 C5 90.000 C2 C3 H9 129.476
C2 C6 C4 90.000 C2 C6 C5 90.000
C2 C6 H12 132.769 C3 C1 C4 90.000
C3 C1 H7 129.476 C3 C2 C6 90.000
C3 C2 H8 129.476 C3 C5 C4 90.000
C3 C5 C6 90.000 C3 C5 H11 132.769
C4 C1 H7 132.769 C4 C5 C6 60.000
C4 C5 H11 129.476 C4 C6 H12 129.476
C5 C3 H9 132.769 C5 C4 C6 60.000
C5 C4 H10 129.476 C5 C6 H12 129.476
C6 C2 H8 132.769 C6 C4 C5 60.000
C6 C4 H10 129.476 C6 C5 H11 129.476
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.041      
2 C 0.041      
3 C 0.041      
4 C 0.041      
5 C 0.041      
6 C 0.041      
7 H -0.041      
8 H -0.041      
9 H -0.041      
10 H -0.041      
11 H -0.041      
12 H -0.041      


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 -35.640 0.000 0.000
y 0.000 -35.640 0.000
z 0.000 0.000 -33.120
Traceless
 xyz
x -1.260 0.000 0.000
y 0.000 -1.260 0.000
z 0.000 0.000 2.520
Polar
3z2-r25.040
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 7.605 0.000 0.000
y 0.000 7.605 0.000
z 0.000 0.000 8.325


<r2> (average value of r2) Å2
<r2> 102.528
(<r2>)1/2 10.126