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All results from a given calculation for C6H6 (Prismane)

using model chemistry: B3LYP/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D3H 1A1'
Energy calculated at B3LYP/6-31+G**
 hartrees
Energy at 0K-232.073091
Energy at 298.15K-232.079707
HF Energy-232.073091
Nuclear repulsion energy219.859428
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 B3LYP/6-31+G**
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' 3218 3102 0.00      
2 A1' 1306 1259 0.00      
3 A1' 1119 1079 0.00      
4 A1' 949 915 0.00      
5 A1" 1004 968 0.00      
6 A1" 644 621 0.00      
7 A2' 1001 965 0.00      
8 A2" 3209 3095 56.17      
9 A2" 1353 1304 0.24      
10 A2" 980 945 3.04      
11 E' 3203 3089 32.54      
11 E' 3203 3089 32.54      
12 E' 1268 1222 13.03      
12 E' 1268 1222 13.02      
13 E' 935 901 1.02      
13 E' 935 901 1.02      
14 E' 849 818 0.04      
14 E' 849 818 0.04      
15 E' 820 790 61.63      
15 E' 820 790 61.62      
16 E" 3191 3077 0.00      
16 E" 3191 3077 0.00      
17 E" 1183 1141 0.00      
17 E" 1183 1141 0.00      
18 E" 1016 979 0.00      
18 E" 1016 979 0.00      
19 E" 773 745 0.00      
19 E" 773 745 0.00      
20 E" 695 670 0.00      
20 E" 695 670 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 21322.9 cm-1
Scaled (by 0.9642) Zero Point Vibrational Energy (zpe) 20559.5 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 B3LYP/6-31+G**
ABC
0.23184 0.17937 0.17937

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31+G**

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.880 0.780
C2 -0.762 -0.440 0.780
C3 0.762 -0.440 0.780
C4 0.000 0.880 -0.780
C5 0.762 -0.440 -0.780
C6 -0.762 -0.440 -0.780
H7 0.000 1.677 1.514
H8 -1.452 -0.838 1.514
H9 1.452 -0.838 1.514
H10 0.000 1.677 -1.514
H11 1.452 -0.838 -1.514
H12 -1.452 -0.838 -1.514

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.52361.52361.55922.18002.18001.08422.36652.36652.42853.21293.2129
C21.52361.52362.18002.18001.55922.36651.08422.36653.21293.21292.4285
C31.52361.52362.18001.55922.18002.36652.36651.08423.21292.42853.2129
C41.55922.18002.18001.52361.52362.42853.21293.21291.08422.36652.3665
C52.18002.18001.55921.52361.52363.21293.21292.42852.36651.08422.3665
C62.18001.55922.18001.52361.52363.21292.42853.21292.36652.36651.0842
H71.08422.36652.36652.42853.21293.21292.90442.90443.02864.19624.1962
H82.36651.08422.36653.21293.21292.42852.90442.90444.19624.19623.0286
H92.36652.36651.08423.21292.42853.21292.90442.90444.19623.02864.1962
H102.42853.21293.21291.08422.36652.36653.02864.19624.19622.90442.9044
H113.21293.21292.42852.36651.08422.36654.19624.19623.02862.90442.9044
H123.21292.42853.21292.36652.36651.08424.19623.02864.19622.90442.9044

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 129.557 C1 C3 C2 60.000
C1 C3 C5 90.000 C1 C3 H9 129.557
C1 C4 C5 90.000 C1 C4 C6 90.000
C1 C4 H10 132.662 C2 C1 C3 60.000
C2 C1 C4 90.000 C2 C1 H7 129.557
C2 C3 C5 90.000 C2 C3 H9 129.557
C2 C6 C4 90.000 C2 C6 C5 90.000
C2 C6 H12 132.662 C3 C1 C4 90.000
C3 C1 H7 129.557 C3 C2 C6 90.000
C3 C2 H8 129.557 C3 C5 C4 90.000
C3 C5 C6 90.000 C3 C5 H11 132.662
C4 C1 H7 132.662 C4 C5 C6 60.000
C4 C5 H11 129.557 C4 C6 H12 129.557
C5 C3 H9 132.662 C5 C4 C6 60.000
C5 C4 H10 129.557 C5 C6 H12 129.557
C6 C2 H8 132.662 C6 C4 C5 60.000
C6 C4 H10 129.557 C6 C5 H11 129.557
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.120      
2 C -0.120      
3 C -0.120      
4 C -0.120      
5 C -0.120      
6 C -0.120      
7 H 0.120      
8 H 0.120      
9 H 0.120      
10 H 0.120      
11 H 0.120      
12 H 0.120      


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 -35.966 0.000 0.000
y 0.000 -35.966 0.000
z 0.000 0.000 -33.326
Traceless
 xyz
x -1.320 0.000 0.000
y 0.000 -1.320 0.000
z 0.000 0.000 2.640
Polar
3z2-r25.280
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 8.296 0.000 0.000
y 0.000 8.296 0.000
z 0.000 0.000 8.616


<r2> (average value of r2) Å2
<r2> 102.278
(<r2>)1/2 10.113