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All results from a given calculation for C6H6 (Prismane)

using model chemistry: mPW1PW91/daug-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/daug-cc-pVDZ
 hartrees
Energy at 0K-232.044277
Energy at 298.15K-232.050928
HF Energy-232.044277
Nuclear repulsion energy220.402172
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-pVDZ
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' 3242 3242 0.00      
2 A1' 1334 1334 0.00      
3 A1' 1138 1138 0.00      
4 A1' 954 954 0.00      
5 A1" 980 980 0.00      
6 A1" 637 637 0.00      
7 A2' 986 986 0.00      
8 A2" 3233 3233 46.12      
9 A2" 1370 1370 0.39      
10 A2" 980 980 3.64      
11 E' 3227 3227 25.59      
11 E' 3227 3227 25.70      
12 E' 1271 1271 12.25      
12 E' 1270 1270 12.29      
13 E' 951 951 3.59      
13 E' 951 951 3.50      
14 E' 860 860 1.79      
14 E' 859 859 1.64      
15 E' 814 814 51.07      
15 E' 813 813 51.14      
16 E" 3214 3214 0.00      
16 E" 3213 3213 0.00      
17 E" 1169 1169 0.00      
17 E" 1165 1165 0.00      
18 E" 1021 1021 0.00      
18 E" 1020 1020 0.00      
19 E" 786 786 0.00      
19 E" 786 786 0.00      
20 E" 675 675 0.00      
20 E" 675 675 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 21410.0 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21410.0 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-pVDZ
ABC
0.23299 0.18036 0.18036

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/daug-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 1.674 1.515
H8 -1.450 -0.837 1.515
H9 1.450 -0.837 1.515
H10 0.000 1.674 -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
C11.51941.51941.55312.17272.17271.08622.36342.36342.42573.20783.2078
C21.51941.51942.17272.17271.55312.36341.08622.36343.20783.20782.4257
C31.51941.51942.17271.55312.17272.36342.36341.08623.20782.42573.2078
C41.55312.17272.17271.51941.51942.42573.20783.20781.08622.36342.3634
C52.17272.17271.55311.51941.51943.20783.20782.42572.36341.08622.3634
C62.17271.55312.17271.51941.51943.20782.42573.20782.36342.36341.0862
H71.08622.36342.36342.42573.20783.20782.89982.89983.02904.19334.1933
H82.36341.08622.36343.20783.20782.42572.89982.89984.19334.19333.0290
H92.36342.36341.08623.20782.42573.20782.89982.89984.19333.02904.1933
H102.42573.20783.20781.08622.36342.36343.02904.19334.19332.89982.8998
H113.20783.20782.42572.36341.08622.36344.19334.19333.02902.89982.8998
H123.20782.42573.20782.36342.36341.08624.19333.02904.19332.89982.8998

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 132.796 C2 C1 C3 60.000
C2 C1 C4 90.000 C2 C1 H7 129.454
C2 C3 C5 90.000 C2 C3 H9 129.455
C2 C6 C4 90.000 C2 C6 C5 90.000
C2 C6 H12 132.796 C3 C1 C4 90.000
C3 C1 H7 129.454 C3 C2 C6 90.000
C3 C2 H8 129.455 C3 C5 C4 90.000
C3 C5 C6 90.000 C3 C5 H11 132.796
C4 C1 H7 132.796 C4 C5 C6 60.000
C4 C5 H11 129.454 C4 C6 H12 129.454
C5 C3 H9 132.796 C5 C4 C6 60.000
C5 C4 H10 129.454 C5 C6 H12 129.455
C6 C2 H8 132.796 C6 C4 C5 60.000
C6 C4 H10 129.454 C6 C5 H11 129.455
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/daug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.723      
2 C 0.654      
3 C 0.654      
4 C 0.723      
5 C 0.654      
6 C 0.654      
7 H -0.692      
8 H -0.670      
9 H -0.670      
10 H -0.692      
11 H -0.670      
12 H -0.670      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 -0.001 0.000 0.001
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.554 0.000 0.000
y 0.000 -35.552 0.000
z 0.000 0.000 -32.988
Traceless
 xyz
x -1.284 0.000 0.000
y 0.000 -1.280 0.000
z 0.000 0.000 2.565
Polar
3z2-r25.129
x2-y2-0.002
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.590 0.000 0.000
y 0.000 8.589 0.000
z 0.000 0.000 9.082


<r2> (average value of r2) Å2
<r2> 101.664
(<r2>)1/2 10.083