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All results from a given calculation for C6H6 (Prismane)

using model chemistry: M06-2X/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 M06-2X/6-31G**
 hartrees
Energy at 0K-231.971409
Energy at 298.15K-231.978158
HF Energy-231.971409
Nuclear repulsion energy221.253329
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 M06-2X/6-31G**
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' 3267 3105 0.00      
2 A1' 1364 1296 0.00      
3 A1' 1148 1091 0.00      
4 A1' 971 922 0.00      
5 A1" 1026 975 0.00      
6 A1" 651 619 0.00      
7 A2' 1024 973 0.00      
8 A2" 3260 3098 33.97      
9 A2" 1410 1340 0.22      
10 A2" 997 948 1.79      
11 E' 3254 3093 16.51      
11 E' 3254 3093 16.40      
12 E' 1298 1233 10.61      
12 E' 1298 1233 10.63      
13 E' 993 944 1.10      
13 E' 993 944 1.13      
14 E' 882 838 0.58      
14 E' 882 838 0.58      
15 E' 851 809 46.95      
15 E' 851 809 46.88      
16 E" 3243 3082 0.00      
16 E" 3243 3082 0.00      
17 E" 1196 1136 0.00      
17 E" 1196 1136 0.00      
18 E" 1047 995 0.00      
18 E" 1047 995 0.00      
19 E" 816 776 0.00      
19 E" 816 776 0.00      
20 E" 700 665 0.00      
20 E" 700 665 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 21838.3 cm-1
Scaled (by 0.9504) Zero Point Vibrational Energy (zpe) 20755.1 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 M06-2X/6-31G**
ABC
0.23512 0.18161 0.18161

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-31G**

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.873 0.775
C2 -0.756 -0.437 0.775
C3 0.756 -0.437 0.775
C4 0.000 0.873 -0.775
C5 0.756 -0.437 -0.775
C6 -0.756 -0.437 -0.775
H7 0.000 1.667 1.510
H8 -1.443 -0.833 1.510
H9 1.443 -0.833 1.510
H10 0.000 1.667 -1.510
H11 1.443 -0.833 -1.510
H12 -1.443 -0.833 -1.510

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.51241.51241.54902.16492.16491.08192.35302.35302.41823.19603.1960
C21.51241.51242.16492.16491.54902.35301.08192.35303.19603.19602.4182
C31.51241.51242.16491.54902.16492.35302.35301.08193.19602.41823.1960
C41.54902.16492.16491.51241.51242.41823.19603.19601.08192.35302.3530
C52.16492.16491.54901.51241.51243.19603.19602.41822.35301.08192.3530
C62.16491.54902.16491.51241.51243.19602.41823.19602.35302.35301.0819
H71.08192.35302.35302.41823.19603.19602.88692.88693.01964.17764.1776
H82.35301.08192.35303.19603.19602.41822.88692.88694.17764.17763.0196
H92.35302.35301.08193.19602.41823.19602.88692.88694.17763.01964.1776
H102.41823.19603.19601.08192.35302.35303.01964.17764.17762.88692.8869
H113.19603.19602.41822.35301.08192.35304.17764.17763.01962.88692.8869
H123.19602.41823.19602.35302.35301.08194.17763.01964.17762.88692.8869

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 129.438 C1 C3 C2 60.000
C1 C3 C5 90.000 C1 C3 H9 129.438
C1 C4 C5 90.000 C1 C4 C6 90.000
C1 C4 H10 132.818 C2 C1 C3 60.000
C2 C1 C4 90.000 C2 C1 H7 129.438
C2 C3 C5 90.000 C2 C3 H9 129.438
C2 C6 C4 90.000 C2 C6 C5 90.000
C2 C6 H12 132.818 C3 C1 C4 90.000
C3 C1 H7 129.438 C3 C2 C6 90.000
C3 C2 H8 129.438 C3 C5 C4 90.000
C3 C5 C6 90.000 C3 C5 H11 132.818
C4 C1 H7 132.818 C4 C5 C6 60.000
C4 C5 H11 129.438 C4 C6 H12 129.438
C5 C3 H9 132.818 C5 C4 C6 60.000
C5 C4 H10 129.438 C5 C6 H12 129.438
C6 C2 H8 132.818 C6 C4 C5 60.000
C6 C4 H10 129.438 C6 C5 H11 129.438
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.119      
2 C -0.119      
3 C -0.119      
4 C -0.119      
5 C -0.119      
6 C -0.119      
7 H 0.119      
8 H 0.119      
9 H 0.119      
10 H 0.119      
11 H 0.119      
12 H 0.119      


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 -35.109 0.000 0.000
y 0.000 -35.109 0.000
z 0.000 0.000 -32.275
Traceless
 xyz
x -1.417 0.000 0.000
y 0.000 -1.417 0.000
z 0.000 0.000 2.834
Polar
3z2-r25.668
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 7.110 0.000 0.000
y 0.000 7.161 0.000
z 0.000 0.000 7.797


<r2> (average value of r2) Å2
<r2> 100.729
(<r2>)1/2 10.036