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All results from a given calculation for C6H6 (Prismane)

using model chemistry: PBEPBE/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 PBEPBE/cc-pVDZ
 hartrees
Energy at 0K-231.779648
Energy at 298.15K-231.786093
HF Energy-231.779648
Nuclear repulsion energy218.713311
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 PBEPBE/cc-pVDZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1' 3140 3121 0.00      
2 A1' 1287 1280 0.00      
3 A1' 1101 1094 0.00      
4 A1' 913 908 0.00      
5 A1" 948 943 0.00      
6 A1" 618 615 0.00      
7 A2' 943 937 0.00      
8 A2" 3134 3115 55.99      
9 A2" 1319 1311 0.20      
10 A2" 939 933 2.97      
11 E' 3126 3108 30.00      
11 E' 3126 3108 30.00      
12 E' 1216 1209 10.54      
12 E' 1216 1209 10.54      
13 E' 918 912 1.90      
13 E' 918 912 1.89      
14 E' 823 818 4.30      
14 E' 823 818 4.30      
15 E' 786 782 39.70      
15 E' 786 782 39.70      
16 E" 3112 3094 0.00      
16 E" 3112 3094 0.00      
17 E" 1120 1113 0.00      
17 E" 1120 1113 0.00      
18 E" 982 977 0.00      
18 E" 982 977 0.00      
19 E" 758 753 0.00      
19 E" 758 753 0.00      
20 E" 652 648 0.00      
20 E" 652 648 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 20662.0 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 20542.1 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 PBEPBE/cc-pVDZ
ABC
0.22929 0.17775 0.17775

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

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.884 0.781
C2 -0.766 -0.442 0.781
C3 0.766 -0.442 0.781
C4 0.000 0.884 -0.781
C5 0.766 -0.442 -0.781
C6 -0.766 -0.442 -0.781
H7 0.000 1.690 1.528
H8 -1.463 -0.845 1.528
H9 1.463 -0.845 1.528
H10 0.000 1.690 -1.528
H11 1.463 -0.845 -1.528
H12 -1.463 -0.845 -1.528

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.53101.53101.56272.18772.18771.09872.38492.38492.44613.23483.2348
C21.53101.53102.18772.18771.56272.38491.09872.38493.23483.23482.4461
C31.53101.53102.18771.56272.18772.38492.38491.09873.23482.44613.2348
C41.56272.18772.18771.53101.53102.44613.23483.23481.09872.38492.3849
C52.18772.18771.56271.53101.53103.23483.23482.44612.38491.09872.3849
C62.18771.56272.18771.53101.53103.23482.44613.23482.38492.38491.0987
H71.09872.38492.38492.44613.23483.23482.92672.92673.05634.23164.2316
H82.38491.09872.38493.23483.23482.44612.92672.92674.23164.23163.0563
H92.38492.38491.09873.23482.44613.23482.92672.92674.23163.05634.2316
H102.44613.23483.23481.09872.38492.38493.05634.23164.23162.92672.9267
H113.23483.23482.44612.38491.09872.38494.23164.23163.05632.92672.9267
H123.23482.44613.23482.38492.38491.09874.23163.05634.23162.92672.9267

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 129.434 C1 C3 C2 60.000
C1 C3 C5 90.000 C1 C3 H9 129.434
C1 C4 C5 90.000 C1 C4 C6 90.000
C1 C4 H10 132.823 C2 C1 C3 60.000
C2 C1 C4 90.000 C2 C1 H7 129.434
C2 C3 C5 90.000 C2 C3 H9 129.434
C2 C6 C4 90.000 C2 C6 C5 90.000
C2 C6 H12 132.823 C3 C1 C4 90.000
C3 C1 H7 129.434 C3 C2 C6 90.000
C3 C2 H8 129.434 C3 C5 C4 90.000
C3 C5 C6 90.000 C3 C5 H11 132.823
C4 C1 H7 132.823 C4 C5 C6 60.000
C4 C5 H11 129.434 C4 C6 H12 129.434
C5 C3 H9 132.823 C5 C4 C6 60.000
C5 C4 H10 129.434 C5 C6 H12 129.434
C6 C2 H8 132.823 C6 C4 C5 60.000
C6 C4 H10 129.434 C6 C5 H11 129.434
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.034      
2 C 0.034      
3 C 0.034      
4 C 0.034      
5 C 0.034      
6 C 0.034      
7 H -0.034      
8 H -0.034      
9 H -0.034      
10 H -0.034      
11 H -0.034      
12 H -0.034      


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 -35.613 0.000 0.000
y 0.000 -35.613 0.000
z 0.000 0.000 -33.009
Traceless
 xyz
x -1.302 0.000 0.000
y 0.000 -1.302 0.000
z 0.000 0.000 2.604
Polar
3z2-r25.209
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 7.760 0.000 0.000
y 0.000 7.760 0.000
z 0.000 0.000 8.544


<r2> (average value of r2) Å2
<r2> 102.951
(<r2>)1/2 10.146