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All results from a given calculation for C6H6 (Prismane)

using model chemistry: BLYP/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 BLYP/6-311+G(3df,2p)
 hartrees
Energy at 0K-232.013745
Energy at 298.15K-232.020152
HF Energy-232.013745
Nuclear repulsion energy218.669613
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 BLYP/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' 3119 3102 0.00      
2 A1' 1240 1233 0.00      
3 A1' 1075 1069 0.00      
4 A1' 912 907 0.00      
5 A1" 961 956 0.00      
6 A1" 623 620 0.00      
7 A2' 962 957 0.00      
8 A2" 3112 3095 61.95      
9 A2" 1282 1275 0.44      
10 A2" 943 937 3.11      
11 E' 3106 3089 36.31      
11 E' 3106 3089 36.31      
12 E' 1211 1204 12.06      
12 E' 1211 1204 12.05      
13 E' 879 874 0.45      
13 E' 879 874 0.45      
14 E' 805 800 1.02      
14 E' 805 800 1.02      
15 E' 784 780 49.14      
15 E' 784 780 49.14      
16 E" 3094 3077 0.00      
16 E" 3094 3077 0.00      
17 E" 1137 1131 0.00      
17 E" 1137 1131 0.00      
18 E" 970 965 0.00      
18 E" 970 965 0.00      
19 E" 729 725 0.00      
19 E" 729 725 0.00      
20 E" 667 663 0.00      
20 E" 667 663 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 20496.1 cm-1
Scaled (by 0.9945) Zero Point Vibrational Energy (zpe) 20383.4 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 BLYP/6-311+G(3df,2p)
ABC
0.22937 0.17735 0.17735

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

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.885 0.785
C2 -0.766 -0.442 0.785
C3 0.766 -0.442 0.785
C4 0.000 0.885 -0.785
C5 0.766 -0.442 -0.785
C6 -0.766 -0.442 -0.785
H7 0.000 1.683 1.521
H8 -1.458 -0.842 1.521
H9 1.458 -0.842 1.521
H10 0.000 1.683 -1.521
H11 1.458 -0.842 -1.521
H12 -1.458 -0.842 -1.521

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.53251.53251.56912.19332.19331.08602.37632.37632.43983.22803.2280
C21.53251.53252.19332.19341.56912.37631.08602.37633.22803.22802.4398
C31.53251.53252.19331.56912.19342.37632.37631.08603.22802.43983.2280
C41.56912.19332.19331.53251.53252.43983.22803.22801.08602.37632.3763
C52.19332.19341.56911.53251.53253.22803.22802.43982.37631.08602.3763
C62.19331.56912.19341.53251.53253.22802.43983.22802.37632.37631.0860
H71.08602.37632.37632.43983.22803.22802.91512.91513.04204.21324.2132
H82.37631.08602.37633.22803.22802.43982.91512.91514.21324.21323.0420
H92.37632.37631.08603.22802.43983.22802.91512.91514.21323.04204.2132
H102.43983.22803.22801.08602.37632.37633.04204.21324.21322.91512.9151
H113.22803.22802.43982.37631.08602.37634.21324.21323.04202.91512.9151
H123.22802.43983.22802.37632.37631.08604.21323.04204.21322.91512.9151

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 129.531 C1 C3 C2 60.000
C1 C3 C5 90.000 C1 C3 H9 129.531
C1 C4 C5 90.000 C1 C4 C6 90.000
C1 C4 H10 132.696 C2 C1 C3 60.000
C2 C1 C4 90.000 C2 C1 H7 129.531
C2 C3 C5 90.000 C2 C3 H9 129.531
C2 C6 C4 90.000 C2 C6 C5 90.000
C2 C6 H12 132.696 C3 C1 C4 90.000
C3 C1 H7 129.531 C3 C2 C6 90.000
C3 C2 H8 129.531 C3 C5 C4 90.000
C3 C5 C6 90.000 C3 C5 H11 132.696
C4 C1 H7 132.696 C4 C5 C6 60.000
C4 C5 H11 129.531 C4 C6 H12 129.531
C5 C3 H9 132.696 C5 C4 C6 60.000
C5 C4 H10 129.531 C5 C6 H12 129.531
C6 C2 H8 132.696 C6 C4 C5 60.000
C6 C4 H10 129.531 C6 C5 H11 129.531
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.153      
2 C -0.153      
3 C -0.153      
4 C -0.153      
5 C -0.153      
6 C -0.153      
7 H 0.153      
8 H 0.153      
9 H 0.153      
10 H 0.153      
11 H 0.153      
12 H 0.153      


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 -36.242 0.000 0.000
y 0.000 -36.242 0.000
z 0.000 0.000 -33.793
Traceless
 xyz
x -1.224 0.000 0.000
y 0.000 -1.224 0.000
z 0.000 0.000 2.449
Polar
3z2-r24.898
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 8.969 0.000 0.000
y 0.000 8.969 0.000
z 0.000 0.000 9.444


<r2> (average value of r2) Å2
<r2> 103.346
(<r2>)1/2 10.166