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All results from a given calculation for C6H6 (Prismane)

using model chemistry: HF/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D3H 1A1'
Energy calculated at HF/6-31G(2df,p)
 hartrees
Energy at 0K-230.529961
Energy at 298.15K-230.537010
HF Energy-230.529961
Nuclear repulsion energy221.877190
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 HF/6-31G(2df,p)
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' 3370 3051 0.00 334.03 0.01 0.02
2 A1' 1414 1280 0.00 21.41 0.02 0.03
3 A1' 1198 1085 0.00 40.35 0.00 0.01
4 A1' 1018 922 0.00 24.57 0.67 0.80
5 A1" 1131 1024 0.00 0.00 0.00 0.00
6 A1" 707 640 0.00 0.00 0.00 0.00
7 A2' 1127 1020 0.00 0.00 0.00 0.00
8 A2" 3358 3041 50.37 0.00 0.00 0.00
9 A2" 1487 1346 0.61 0.00 0.00 0.00
10 A2" 1055 956 1.68 0.00 0.00 0.00
11 E' 3352 3036 30.12 47.06 0.75 0.86
11 E' 3352 3036 30.12 47.06 0.75 0.86
12 E' 1391 1260 6.14 3.91 0.75 0.86
12 E' 1391 1260 6.14 3.91 0.75 0.86
13 E' 1046 947 0.55 2.89 0.75 0.86
13 E' 1046 947 0.55 2.89 0.75 0.86
14 E' 920 833 0.37 6.13 0.75 0.86
14 E' 920 833 0.37 6.13 0.75 0.86
15 E' 893 809 51.00 10.29 0.75 0.86
15 E' 893 809 51.00 10.29 0.75 0.86
16 E" 3340 3024 0.00 152.23 0.75 0.86
16 E" 3340 3024 0.00 152.23 0.75 0.86
17 E" 1290 1168 0.00 0.08 0.75 0.86
17 E" 1290 1168 0.00 0.08 0.75 0.86
18 E" 1131 1024 0.00 6.83 0.75 0.86
18 E" 1131 1024 0.00 6.83 0.75 0.86
19 E" 865 784 0.00 2.71 0.75 0.86
19 E" 865 784 0.00 2.71 0.75 0.86
20 E" 776 703 0.00 0.08 0.75 0.86
20 E" 776 703 0.00 0.08 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 22937.9 cm-1
Scaled (by 0.9055) Zero Point Vibrational Energy (zpe) 20770.3 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 HF/6-31G(2df,p)
ABC
0.23666 0.18239 0.18239

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/6-31G(2df,p)

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.870 0.775
C2 -0.754 -0.435 0.775
C3 0.754 -0.435 0.775
C4 0.000 0.870 -0.775
C5 0.754 -0.435 -0.775
C6 -0.754 -0.435 -0.775
H7 0.000 1.661 1.499
H8 -1.439 -0.831 1.499
H9 1.439 -0.831 1.499
H10 0.000 1.661 -1.499
H11 1.439 -0.831 -1.499
H12 -1.439 -0.831 -1.499

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.50751.50751.54952.16182.16181.07272.34272.34272.40783.18363.1836
C21.50751.50752.16182.16181.54952.34271.07272.34273.18363.18362.4078
C31.50751.50752.16181.54952.16182.34272.34271.07273.18362.40783.1836
C41.54952.16182.16181.50751.50752.40783.18363.18361.07272.34272.3427
C52.16182.16181.54951.50751.50753.18363.18362.40782.34271.07272.3427
C62.16181.54952.16181.50751.50753.18362.40783.18362.34272.34271.0727
H71.07272.34272.34272.40783.18363.18362.87732.87732.99894.15604.1560
H82.34271.07272.34273.18363.18362.40782.87732.87734.15604.15602.9989
H92.34272.34271.07273.18362.40783.18362.87732.87734.15602.99894.1560
H102.40783.18363.18361.07272.34272.34272.99894.15604.15602.87732.8773
H113.18363.18362.40782.34271.07272.34274.15604.15602.99892.87732.8773
H123.18362.40783.18362.34272.34271.07274.15602.99894.15602.87732.8773

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 129.678 C1 C3 C2 60.000
C1 C3 C5 90.000 C1 C3 H9 129.678
C1 C4 C5 90.000 C1 C4 C6 90.000
C1 C4 H10 132.503 C2 C1 C3 60.000
C2 C1 C4 90.000 C2 C1 H7 129.678
C2 C3 C5 90.000 C2 C3 H9 129.678
C2 C6 C4 90.000 C2 C6 C5 90.000
C2 C6 H12 132.503 C3 C1 C4 90.000
C3 C1 H7 129.678 C3 C2 C6 90.000
C3 C2 H8 129.678 C3 C5 C4 90.000
C3 C5 C6 90.000 C3 C5 H11 132.503
C4 C1 H7 132.503 C4 C5 C6 60.000
C4 C5 H11 129.678 C4 C6 H12 129.678
C5 C3 H9 132.503 C5 C4 C6 60.000
C5 C4 H10 129.678 C5 C6 H12 129.678
C6 C2 H8 132.503 C6 C4 C5 60.000
C6 C4 H10 129.678 C6 C5 H11 129.678
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.133      
2 C -0.133      
3 C -0.133      
4 C -0.133      
5 C -0.133      
6 C -0.133      
7 H 0.133      
8 H 0.133      
9 H 0.133      
10 H 0.133      
11 H 0.133      
12 H 0.133      


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 -35.244 0.000 0.000
y 0.000 -35.244 0.000
z 0.000 0.000 -32.833
Traceless
 xyz
x -1.206 0.000 0.000
y 0.000 -1.206 0.000
z 0.000 0.000 2.411
Polar
3z2-r24.822
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 7.158 0.000 0.000
y 0.000 7.158 0.000
z 0.000 0.000 7.708


<r2> (average value of r2) Å2
<r2> 100.439
(<r2>)1/2 10.022