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All results from a given calculation for C6H6 (Prismane)

using model chemistry: PBEPBEultrafine/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D3H 1A1'
Energy calculated at PBEPBEultrafine/6-31G*
 hartrees
Energy at 0K-231.761501
Energy at 298.15K-231.767972
HF Energy-231.761501
Nuclear repulsion energy219.294211
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 PBEPBEultrafine/6-31G*
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' 3152 3100 0.00      
2 A1' 1294 1272 0.00      
3 A1' 1106 1088 0.00      
4 A1' 934 919 0.00      
5 A1" 965 949 0.00      
6 A1" 627 616 0.00      
7 A2' 956 940 0.00      
8 A2" 3147 3095 65.30      
9 A2" 1332 1310 0.50      
10 A2" 959 943 2.09      
11 E' 3140 3088 36.46      
11 E' 3140 3088 36.46      
12 E' 1240 1219 10.15      
12 E' 1240 1219 10.15      
13 E' 927 912 0.55      
13 E' 927 912 0.55      
14 E' 838 824 1.32      
14 E' 838 824 1.32      
15 E' 803 790 43.64      
15 E' 803 790 43.64      
16 E" 3126 3075 0.00      
16 E" 3126 3075 0.00      
17 E" 1146 1127 0.00      
17 E" 1146 1127 0.00      
18 E" 992 976 0.00      
18 E" 992 976 0.00      
19 E" 768 755 0.00      
19 E" 768 755 0.00      
20 E" 662 651 0.00      
20 E" 662 651 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 20877.1 cm-1
Scaled (by 0.9835) Zero Point Vibrational Energy (zpe) 20532.6 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 PBEPBEultrafine/6-31G*
ABC
0.23054 0.17862 0.17862

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/6-31G*

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.882 0.780
C2 -0.764 -0.441 0.780
C3 0.764 -0.441 0.780
C4 0.000 0.882 -0.780
C5 0.764 -0.441 -0.780
C6 -0.764 -0.441 -0.780
H7 0.000 1.684 1.522
H8 -1.459 -0.842 1.522
H9 1.459 -0.842 1.522
H10 0.000 1.684 -1.522
H11 1.459 -0.842 -1.522
H12 -1.459 -0.842 -1.522

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.52701.52701.56002.18302.18301.09322.37702.37702.43803.22473.2247
C21.52701.52702.18302.18301.56002.37701.09322.37703.22473.22472.4380
C31.52701.52702.18301.56002.18302.37702.37701.09323.22472.43803.2247
C41.56002.18302.18301.52701.52702.43803.22473.22471.09322.37702.3770
C52.18302.18301.56001.52701.52703.22473.22472.43802.37701.09322.3770
C62.18301.56002.18301.52701.52703.22472.43803.22472.37702.37701.0932
H71.09322.37702.37702.43803.22473.22472.91762.91763.04394.21634.2163
H82.37701.09322.37703.22473.22472.43802.91762.91764.21634.21633.0439
H92.37702.37701.09323.22472.43803.22472.91762.91764.21633.04394.2163
H102.43803.22473.22471.09322.37702.37703.04394.21634.21632.91762.9176
H113.22473.22472.43802.37701.09322.37704.21634.21633.04392.91762.9176
H123.22472.43803.22472.37702.37701.09324.21633.04394.21632.91762.9176

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 129.495 C1 C3 C2 60.000
C1 C3 C5 90.000 C1 C3 H9 129.495
C1 C4 C5 90.000 C1 C4 C6 90.000
C1 C4 H10 132.743 C2 C1 C3 60.000
C2 C1 C4 90.000 C2 C1 H7 129.495
C2 C3 C5 90.000 C2 C3 H9 129.495
C2 C6 C4 90.000 C2 C6 C5 90.000
C2 C6 H12 132.743 C3 C1 C4 90.000
C3 C1 H7 129.495 C3 C2 C6 90.000
C3 C2 H8 129.495 C3 C5 C4 90.000
C3 C5 C6 90.000 C3 C5 H11 132.743
C4 C1 H7 132.743 C4 C5 C6 60.000
C4 C5 H11 129.495 C4 C6 H12 129.495
C5 C3 H9 132.743 C5 C4 C6 60.000
C5 C4 H10 129.495 C5 C6 H12 129.495
C6 C2 H8 132.743 C6 C4 C5 60.000
C6 C4 H10 129.495 C6 C5 H11 129.495
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.134      
2 C -0.134      
3 C -0.134      
4 C -0.134      
5 C -0.134      
6 C -0.134      
7 H 0.134      
8 H 0.134      
9 H 0.134      
10 H 0.134      
11 H 0.134      
12 H 0.134      


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 -35.072 0.000 0.000
y 0.000 -35.072 0.000
z 0.000 0.000 -32.304
Traceless
 xyz
x -1.384 0.000 0.000
y 0.000 -1.384 0.000
z 0.000 0.000 2.769
Polar
3z2-r25.537
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 7.264 0.000 0.000
y 0.000 7.264 0.000
z 0.000 0.000 8.018


<r2> (average value of r2) Å2
<r2> 102.137
(<r2>)1/2 10.106