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All results from a given calculation for C6H6 (Prismane)

using model chemistry: B2PLYP/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 B2PLYP/6-311+G(3df,2p)
 hartrees
Energy at 0K-231.915974
Energy at 298.15K-231.922598
HF Energy-231.598868
Nuclear repulsion energy220.573128
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 B2PLYP/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' 3230 3230 0.00      
2 A1' 1300 1300 0.00      
3 A1' 1123 1123 0.00      
4 A1' 953 953 0.00      
5 A1" 1004 1004 0.00      
6 A1" 644 644 0.00      
7 A2' 1008 1008 0.00      
8 A2" 3222 3222 39.93      
9 A2" 1344 1344 0.67      
10 A2" 980 980 3.43      
11 E' 3216 3216 22.17      
11 E' 3216 3216 22.17      
12 E' 1266 1266 12.13      
12 E' 1265 1265 12.12      
13 E' 927 927 1.27      
13 E' 927 927 1.27      
14 E' 849 849 0.01      
14 E' 849 849 0.01      
15 E' 821 821 53.89      
15 E' 821 821 53.90      
16 E" 3204 3204 0.00      
16 E" 3204 3204 0.00      
17 E" 1183 1183 0.00      
17 E" 1182 1182 0.00      
18 E" 1013 1013 0.00      
18 E" 1013 1013 0.00      
19 E" 767 767 0.00      
19 E" 767 767 0.00      
20 E" 687 687 0.00      
20 E" 687 687 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 21335.1 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21335.1 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 B2PLYP/6-311+G(3df,2p)
ABC
0.23336 0.18050 0.18050

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/6-311+G(3df,2p)

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.877 0.777
C2 -0.760 -0.439 0.777
C3 0.760 -0.439 0.777
C4 0.000 0.877 -0.777
C5 0.760 -0.439 -0.777
C6 -0.760 -0.439 -0.777
H7 0.000 1.668 1.510
H8 -1.445 -0.834 1.510
H9 1.445 -0.834 1.510
H10 0.000 1.668 -1.510
H11 1.445 -0.834 -1.510
H12 -1.445 -0.834 -1.510

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.51941.51941.55422.17362.17361.07852.35662.35662.42033.20133.2013
C21.51941.51942.17362.17361.55422.35661.07852.35663.20133.20132.4203
C31.51941.51942.17361.55422.17362.35662.35661.07853.20132.42033.2013
C41.55422.17362.17361.51941.51942.42033.20133.20131.07852.35662.3566
C52.17362.17361.55421.51941.51943.20133.20132.42032.35661.07852.3566
C62.17361.55422.17361.51941.51943.20132.42033.20132.35662.35661.0785
H71.07852.35662.35662.42033.20133.20132.88952.88953.02054.18014.1801
H82.35661.07852.35663.20133.20132.42032.88952.88954.18014.18013.0205
H92.35662.35661.07853.20132.42033.20132.88952.88954.18013.02054.1801
H102.42033.20133.20131.07852.35662.35663.02054.18014.18012.88952.8895
H113.20133.20132.42032.35661.07852.35664.18014.18013.02052.88952.8895
H123.20132.42033.20132.35662.35661.07854.18013.02054.18012.88952.8895

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 129.432 C1 C3 C2 60.000
C1 C3 C5 90.000 C1 C3 H9 129.432
C1 C4 C5 90.000 C1 C4 C6 90.000
C1 C4 H10 132.826 C2 C1 C3 60.000
C2 C1 C4 90.000 C2 C1 H7 129.432
C2 C3 C5 90.000 C2 C3 H9 129.432
C2 C6 C4 90.000 C2 C6 C5 90.000
C2 C6 H12 132.826 C3 C1 C4 90.000
C3 C1 H7 129.432 C3 C2 C6 90.000
C3 C2 H8 129.432 C3 C5 C4 90.000
C3 C5 C6 90.000 C3 C5 H11 132.826
C4 C1 H7 132.826 C4 C5 C6 60.000
C4 C5 H11 129.432 C4 C6 H12 129.432
C5 C3 H9 132.826 C5 C4 C6 60.000
C5 C4 H10 129.432 C5 C6 H12 129.432
C6 C2 H8 132.826 C6 C4 C5 60.000
C6 C4 H10 129.432 C6 C5 H11 129.432
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.158      
2 C -0.158      
3 C -0.158      
4 C -0.158      
5 C -0.158      
6 C -0.158      
7 H 0.158      
8 H 0.158      
9 H 0.158      
10 H 0.158      
11 H 0.158      
12 H 0.158      


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 -35.971 0.000 0.000
y 0.000 -35.971 0.000
z 0.000 0.000 -33.437
Traceless
 xyz
x -1.267 0.000 0.000
y 0.000 -1.267 0.000
z 0.000 0.000 2.534
Polar
3z2-r25.068
x2-y2-0.000
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.547 0.000 0.000
y 0.000 8.547 0.000
z 0.000 0.000 8.948


<r2> (average value of r2) Å2
<r2> 101.769
(<r2>)1/2 10.088