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All results from a given calculation for C6H6 (Prismane)

using model chemistry: mPW1PW91/daug-cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D3H 1A1'
Energy calculated at mPW1PW91/daug-cc-pVTZ
 hartrees
Energy at 0K-232.093462
Energy at 298.15K-232.100121
HF Energy-232.093462
Nuclear repulsion energy221.386818
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 mPW1PW91/daug-cc-pVTZ
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' 3235 3235 0.01      
2 A1' 1328 1328 0.00      
3 A1' 1138 1138 0.00      
4 A1' 959 959 0.00      
5 A1" 1006 1006 0.00      
6 A1" 649 649 0.00      
7 A2' 1009 1009 0.00      
8 A2" 3226 3226 40.52      
9 A2" 1369 1369 0.22      
10 A2" 987 987 3.69      
11 E' 3220 3220 22.44      
11 E' 3220 3220 22.46      
12 E' 1273 1273 13.24      
12 E' 1273 1273 13.29      
13 E' 953 953 2.96      
13 E' 953 953 2.88      
14 E' 863 863 0.67      
14 E' 862 862 0.55      
15 E' 825 825 52.46      
15 E' 825 825 52.49      
16 E" 3208 3208 0.01      
16 E" 3207 3207 0.00      
17 E" 1181 1181 0.00      
17 E" 1181 1181 0.00      
18 E" 1027 1027 0.00      
18 E" 1026 1026 0.00      
19 E" 791 791 0.00      
19 E" 790 790 0.00      
20 E" 687 687 0.00      
20 E" 687 687 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 21478.6 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21478.6 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 mPW1PW91/daug-cc-pVTZ
ABC
0.23530 0.18183 0.18183

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/daug-cc-pVTZ

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.873 0.774
C2 -0.756 -0.437 0.774
C3 0.756 -0.437 0.774
C4 0.000 0.873 -0.774
C5 0.756 -0.437 -0.774
C6 -0.756 -0.437 -0.774
H7 0.000 1.665 1.507
H8 -1.442 -0.832 1.507
H9 1.442 -0.832 1.507
H10 0.000 1.665 -1.507
H11 1.442 -0.832 -1.507
H12 -1.442 -0.832 -1.507

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.51221.51221.54832.16432.16431.07912.35052.35052.41493.19263.1926
C21.51221.51222.16432.16431.54832.35051.07912.35053.19263.19262.4149
C31.51221.51222.16431.54832.16432.35052.35051.07913.19262.41493.1926
C41.54832.16432.16431.51221.51222.41493.19263.19261.07912.35052.3505
C52.16432.16431.54831.51221.51223.19263.19262.41492.35051.07912.3505
C62.16431.54832.16431.51221.51223.19262.41493.19262.35052.35051.0791
H71.07912.35052.35052.41493.19263.19262.88372.88373.01454.17164.1716
H82.35051.07912.35053.19263.19262.41492.88372.88374.17164.17163.0145
H92.35052.35051.07913.19262.41493.19262.88372.88374.17163.01454.1716
H102.41493.19263.19261.07912.35052.35053.01454.17164.17162.88372.8837
H113.19263.19262.41492.35051.07912.35054.17164.17163.01452.88372.8837
H123.19262.41493.19262.35052.35051.07914.17163.01454.17162.88372.8837

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 129.456 C1 C3 C2 60.000
C1 C3 C5 90.000 C1 C3 H9 129.456
C1 C4 C5 90.000 C1 C4 C6 90.000
C1 C4 H10 132.795 C2 C1 C3 60.000
C2 C1 C4 90.000 C2 C1 H7 129.456
C2 C3 C5 90.000 C2 C3 H9 129.456
C2 C6 C4 90.000 C2 C6 C5 90.000
C2 C6 H12 132.795 C3 C1 C4 90.000
C3 C1 H7 129.456 C3 C2 C6 90.000
C3 C2 H8 129.456 C3 C5 C4 90.000
C3 C5 C6 90.000 C3 C5 H11 132.795
C4 C1 H7 132.795 C4 C5 C6 60.000
C4 C5 H11 129.456 C4 C6 H12 129.456
C5 C3 H9 132.795 C5 C4 C6 60.000
C5 C4 H10 129.456 C5 C6 H12 129.456
C6 C2 H8 132.795 C6 C4 C5 60.000
C6 C4 H10 129.456 C6 C5 H11 129.456
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/daug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.760      
2 C -0.574      
3 C -0.574      
4 C -0.760      
5 C -0.574      
6 C -0.574      
7 H 0.843      
8 H 0.532      
9 H 0.532      
10 H 0.843      
11 H 0.532      
12 H 0.532      


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 -35.411 0.000 0.000
y 0.000 -35.410 0.000
z 0.000 0.000 -32.883
Traceless
 xyz
x -1.264 0.000 0.000
y 0.000 -1.263 0.000
z 0.000 0.000 2.527
Polar
3z2-r25.054
x2-y2-0.001
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.454 0.000 0.000
y 0.000 8.454 0.000
z 0.000 0.000 8.951


<r2> (average value of r2) Å2
<r2> 100.869
(<r2>)1/2 10.043