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All results from a given calculation for C6H6 (Prismane)

using model chemistry: B3LYPultrafine/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D3H 1A1'
Energy calculated at B3LYPultrafine/3-21G
 hartrees
Energy at 0K-230.768983
Energy at 298.15K-230.775634
HF Energy-230.768983
Nuclear repulsion energy217.155226
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 B3LYPultrafine/3-21G
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' 3276 3161 0.00      
2 A1' 1248 1204 0.00      
3 A1' 1107 1068 0.00      
4 A1' 948 915 0.00      
5 A1" 1054 1017 0.00      
6 A1" 641 619 0.00      
7 A2' 1047 1011 0.00      
8 A2" 3260 3146 39.50      
9 A2" 1292 1247 0.30      
10 A2" 962 929 3.64      
11 E' 3251 3137 16.64      
11 E' 3251 3137 16.64      
12 E' 1249 1205 16.76      
12 E' 1249 1205 16.76      
13 E' 945 911 3.92      
13 E' 945 911 3.92      
14 E' 833 804 0.85      
14 E' 833 804 0.85      
15 E' 816 787 55.15      
15 E' 816 787 55.15      
16 E" 3240 3126 0.00      
16 E" 3240 3126 0.00      
17 E" 1181 1139 0.00      
17 E" 1181 1139 0.00      
18 E" 1031 994 0.00      
18 E" 1031 994 0.00      
19 E" 780 752 0.00      
19 E" 780 752 0.00      
20 E" 726 701 0.00      
20 E" 726 701 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 21469.1 cm-1
Scaled (by 0.9649) Zero Point Vibrational Energy (zpe) 20715.5 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 B3LYPultrafine/3-21G
ABC
0.22459 0.17522 0.17522

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/3-21G

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.895 0.790
C2 -0.775 -0.447 0.790
C3 0.775 -0.447 0.790
C4 0.000 0.895 -0.790
C5 0.775 -0.447 -0.790
C6 -0.775 -0.447 -0.790
H7 0.000 1.697 1.509
H8 -1.469 -0.848 1.509
H9 1.469 -0.848 1.509
H10 0.000 1.697 -1.509
H11 1.469 -0.848 -1.509
H12 -1.469 -0.848 -1.509

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.54991.54991.57942.21292.21291.07752.39082.39082.43493.23793.2379
C21.54991.54992.21292.21291.57942.39081.07752.39083.23793.23792.4349
C31.54991.54992.21291.57942.21292.39082.39081.07753.23792.43493.2379
C41.57942.21292.21291.54991.54992.43493.23793.23791.07752.39082.3908
C52.21292.21291.57941.54991.54993.23793.23792.43492.39081.07752.3908
C62.21291.57942.21291.54991.54993.23792.43493.23792.39082.39081.0775
H71.07752.39082.39082.43493.23793.23792.93892.93893.01874.21304.2130
H82.39081.07752.39083.23793.23792.43492.93892.93894.21304.21303.0187
H92.39082.39081.07753.23792.43493.23792.93892.93894.21303.01874.2130
H102.43493.23793.23791.07752.39082.39083.01874.21304.21302.93892.9389
H113.23793.23792.43492.39081.07752.39084.21304.21303.01872.93892.9389
H123.23792.43493.23792.39082.39081.07754.21303.01874.21302.93892.9389

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 130.131 C1 C3 C2 60.000
C1 C3 C5 90.000 C1 C3 H9 130.131
C1 C4 C5 90.000 C1 C4 C6 90.000
C1 C4 H10 131.905 C2 C1 C3 60.000
C2 C1 C4 90.000 C2 C1 H7 130.131
C2 C3 C5 90.000 C2 C3 H9 130.131
C2 C6 C4 90.000 C2 C6 C5 90.000
C2 C6 H12 131.905 C3 C1 C4 90.000
C3 C1 H7 130.131 C3 C2 C6 90.000
C3 C2 H8 130.131 C3 C5 C4 90.000
C3 C5 C6 90.000 C3 C5 H11 131.905
C4 C1 H7 131.905 C4 C5 C6 60.000
C4 C5 H11 130.131 C4 C6 H12 130.131
C5 C3 H9 131.905 C5 C4 C6 60.000
C5 C4 H10 130.131 C5 C6 H12 130.131
C6 C2 H8 131.905 C6 C4 C5 60.000
C6 C4 H10 130.131 C6 C5 H11 130.131
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.156      
2 C -0.156      
3 C -0.156      
4 C -0.156      
5 C -0.156      
6 C -0.156      
7 H 0.156      
8 H 0.156      
9 H 0.156      
10 H 0.156      
11 H 0.156      
12 H 0.156      


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 -35.558 0.000 0.000
y 0.000 -35.558 0.000
z 0.000 0.000 -32.355
Traceless
 xyz
x -1.601 0.000 0.000
y 0.000 -1.601 0.000
z 0.000 0.000 3.202
Polar
3z2-r26.405
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 6.738 0.000 0.000
y 0.000 6.738 0.000
z 0.000 0.000 7.225


<r2> (average value of r2) Å2
<r2> 103.762
(<r2>)1/2 10.186