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All results from a given calculation for C6H6 (Prismane)

using model chemistry: mPW1PW91/6-311G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D3H 1A1'
Energy calculated at mPW1PW91/6-311G**
 hartrees
Energy at 0K-232.069304
Energy at 298.15K-232.075993
HF Energy-232.069304
Nuclear repulsion energy221.021914
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 mPW1PW91/6-311G**
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' 3236 3096 0.00      
2 A1' 1335 1278 0.00      
3 A1' 1141 1091 0.00      
4 A1' 959 917 0.00      
5 A1" 1004 960 0.00      
6 A1" 648 620 0.00      
7 A2' 1005 961 0.00      
8 A2" 3228 3088 49.57      
9 A2" 1377 1317 0.01      
10 A2" 985 942 3.14      
11 E' 3221 3082 26.40      
11 E' 3221 3082 26.39      
12 E' 1275 1219 13.01      
12 E' 1275 1219 13.01      
13 E' 960 918 2.42      
13 E' 960 918 2.42      
14 E' 864 827 1.72      
14 E' 864 827 1.72      
15 E' 827 792 55.17      
15 E' 827 792 55.17      
16 E" 3208 3069 0.00      
16 E" 3208 3069 0.00      
17 E" 1177 1126 0.00      
17 E" 1177 1126 0.00      
18 E" 1028 984 0.00      
18 E" 1028 984 0.00      
19 E" 795 761 0.00      
19 E" 795 761 0.00      
20 E" 690 660 0.00      
20 E" 690 660 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 21502.9 cm-1
Scaled (by 0.9567) Zero Point Vibrational Energy (zpe) 20571.8 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 mPW1PW91/6-311G**
ABC
0.23443 0.18128 0.18128

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-311G**

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.875 0.775
C2 -0.757 -0.437 0.775
C3 0.757 -0.437 0.775
C4 0.000 0.875 -0.775
C5 0.757 -0.437 -0.775
C6 -0.757 -0.437 -0.775
H7 0.000 1.668 1.509
H8 -1.445 -0.834 1.509
H9 1.445 -0.834 1.509
H10 0.000 1.668 -1.509
H11 1.445 -0.834 -1.509
H12 -1.445 -0.834 -1.509

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.51491.51491.55032.16762.16761.08112.35512.35512.41843.19783.1978
C21.51491.51492.16762.16761.55032.35511.08112.35513.19783.19782.4184
C31.51491.51492.16761.55032.16762.35512.35511.08113.19782.41843.1978
C41.55032.16762.16761.51491.51492.41843.19783.19781.08112.35512.3551
C52.16762.16761.55031.51491.51493.19783.19782.41842.35511.08112.3551
C62.16761.55032.16761.51491.51493.19782.41843.19782.35512.35511.0811
H71.08112.35512.35512.41843.19783.19782.88962.88963.01864.17874.1787
H82.35511.08112.35513.19783.19782.41842.88962.88964.17874.17873.0186
H92.35512.35511.08113.19782.41843.19782.88962.88964.17873.01864.1787
H102.41843.19783.19781.08112.35512.35513.01864.17874.17872.88962.8896
H113.19783.19782.41842.35511.08112.35514.17874.17873.01862.88962.8896
H123.19782.41843.19782.35512.35511.08114.17873.01864.17872.88962.8896

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 129.475 C1 C3 C2 60.000
C1 C3 C5 90.000 C1 C3 H9 129.475
C1 C4 C5 90.000 C1 C4 C6 90.000
C1 C4 H10 132.770 C2 C1 C3 60.000
C2 C1 C4 90.000 C2 C1 H7 129.475
C2 C3 C5 90.000 C2 C3 H9 129.475
C2 C6 C4 90.000 C2 C6 C5 90.000
C2 C6 H12 132.770 C3 C1 C4 90.000
C3 C1 H7 129.475 C3 C2 C6 90.000
C3 C2 H8 129.475 C3 C5 C4 90.000
C3 C5 C6 90.000 C3 C5 H11 132.770
C4 C1 H7 132.770 C4 C5 C6 60.000
C4 C5 H11 129.475 C4 C6 H12 129.475
C5 C3 H9 132.770 C5 C4 C6 60.000
C5 C4 H10 129.475 C5 C6 H12 129.475
C6 C2 H8 132.770 C6 C4 C5 60.000
C6 C4 H10 129.475 C6 C5 H11 129.475
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.093      
2 C -0.093      
3 C -0.093      
4 C -0.093      
5 C -0.093      
6 C -0.093      
7 H 0.093      
8 H 0.093      
9 H 0.093      
10 H 0.093      
11 H 0.093      
12 H 0.093      


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 -35.339 0.000 0.000
y 0.000 -35.339 0.000
z 0.000 0.000 -32.514
Traceless
 xyz
x -1.412 0.000 0.000
y 0.000 -1.412 0.000
z 0.000 0.000 2.825
Polar
3z2-r25.649
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 7.611 0.000 0.000
y 0.000 7.611 0.000
z 0.000 0.000 8.209


<r2> (average value of r2) Å2
<r2> 101.023
(<r2>)1/2 10.051