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All results from a given calculation for C6H6 (Prismane)

using model chemistry: mPW1PW91/aug-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 mPW1PW91/aug-cc-pVDZ
 hartrees
Energy at 0K-232.043204
Energy at 298.15K-232.049841
HF Energy-232.043204
Nuclear repulsion energy220.380945
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/aug-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' 3243 3108 0.00      
2 A1' 1335 1279 0.00      
3 A1' 1139 1091 0.00      
4 A1' 955 915 0.00      
5 A1" 969 929 0.00      
6 A1" 633 606 0.00      
7 A2' 984 943 0.00      
8 A2" 3235 3100 46.21      
9 A2" 1373 1316 0.39      
10 A2" 979 938 3.80      
11 E' 3228 3094 25.96      
11 E' 3228 3094 25.98      
12 E' 1271 1218 12.46      
12 E' 1271 1218 12.46      
13 E' 953 913 3.53      
13 E' 953 913 3.54      
14 E' 860 824 1.66      
14 E' 860 824 1.65      
15 E' 813 779 51.53      
15 E' 813 779 51.53      
16 E" 3215 3081 0.00      
16 E" 3215 3081 0.00      
17 E" 1169 1121 0.00      
17 E" 1169 1121 0.00      
18 E" 1020 978 0.00      
18 E" 1020 978 0.00      
19 E" 785 753 0.00      
19 E" 785 753 0.00      
20 E" 672 644 0.00      
20 E" 672 644 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 21409.5 cm-1
Scaled (by 0.9583) Zero Point Vibrational Energy (zpe) 20516.8 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/aug-cc-pVDZ
ABC
0.23296 0.18033 0.18033

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

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 1.675 1.515
H8 -1.450 -0.837 1.515
H9 1.450 -0.837 1.515
H10 0.000 1.675 -1.515
H11 1.450 -0.837 -1.515
H12 -1.450 -0.837 -1.515

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.51931.51931.55322.17272.17271.08692.36402.36402.42643.20853.2085
C21.51931.51932.17272.17271.55322.36401.08692.36403.20853.20852.4264
C31.51931.51932.17271.55322.17272.36402.36401.08693.20852.42643.2085
C41.55322.17272.17271.51931.51932.42643.20853.20851.08692.36402.3640
C52.17272.17271.55321.51931.51933.20853.20852.42642.36401.08692.3640
C62.17271.55322.17271.51931.51933.20852.42643.20852.36402.36401.0869
H71.08692.36402.36402.42643.20853.20852.90072.90073.03014.19474.1947
H82.36401.08692.36403.20853.20852.42642.90072.90074.19474.19473.0301
H92.36402.36401.08693.20852.42643.20852.90072.90074.19473.03014.1947
H102.42643.20853.20851.08692.36402.36403.03014.19474.19472.90072.9007
H113.20853.20852.42642.36401.08692.36404.19474.19473.03012.90072.9007
H123.20852.42643.20852.36402.36401.08694.19473.03014.19472.90072.9007

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 129.454 C1 C3 C2 60.000
C1 C3 C5 90.000 C1 C3 H9 129.454
C1 C4 C5 90.000 C1 C4 C6 90.000
C1 C4 H10 132.797 C2 C1 C3 60.000
C2 C1 C4 90.000 C2 C1 H7 129.454
C2 C3 C5 90.000 C2 C3 H9 129.454
C2 C6 C4 90.000 C2 C6 C5 90.000
C2 C6 H12 132.797 C3 C1 C4 90.000
C3 C1 H7 129.454 C3 C2 C6 90.000
C3 C2 H8 129.454 C3 C5 C4 90.000
C3 C5 C6 90.000 C3 C5 H11 132.797
C4 C1 H7 132.797 C4 C5 C6 60.000
C4 C5 H11 129.454 C4 C6 H12 129.454
C5 C3 H9 132.797 C5 C4 C6 60.000
C5 C4 H10 129.454 C5 C6 H12 129.454
C6 C2 H8 132.797 C6 C4 C5 60.000
C6 C4 H10 129.454 C6 C5 H11 129.454
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.562      
2 C 0.562      
3 C 0.562      
4 C 0.562      
5 C 0.562      
6 C 0.562      
7 H -0.562      
8 H -0.562      
9 H -0.562      
10 H -0.562      
11 H -0.562      
12 H -0.562      


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 -35.539 0.000 0.000
y 0.000 -35.539 0.000
z 0.000 0.000 -32.956
Traceless
 xyz
x -1.291 0.000 0.000
y 0.000 -1.291 0.000
z 0.000 0.000 2.583
Polar
3z2-r25.166
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 8.554 0.000 0.000
y 0.000 8.555 0.000
z 0.000 0.000 9.023


<r2> (average value of r2) Å2
<r2> 101.671
(<r2>)1/2 10.083