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All results from a given calculation for C6H6 (Prismane)

using model chemistry: PBE1PBE/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 PBE1PBE/3-21G
 hartrees
Energy at 0K-230.506661
Energy at 298.15K-230.513397
HF Energy-230.506661
Nuclear repulsion energy217.898660
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 PBE1PBE/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' 3307 3176 0.00      
2 A1' 1275 1225 0.00      
3 A1' 1128 1083 0.00      
4 A1' 968 929 0.00      
5 A1" 1065 1023 0.00      
6 A1" 644 618 0.00      
7 A2' 1062 1020 0.00      
8 A2" 3290 3160 30.11      
9 A2" 1314 1262 1.00      
10 A2" 975 937 5.27      
11 E' 3280 3150 11.28      
11 E' 3280 3150 11.28      
12 E' 1261 1212 21.32      
12 E' 1261 1212 21.32      
13 E' 966 928 2.82      
13 E' 966 928 2.82      
14 E' 860 826 2.24      
14 E' 860 826 2.24      
15 E' 840 807 62.45      
15 E' 840 807 62.45      
16 E" 3268 3139 0.00      
16 E" 3268 3139 0.00      
17 E" 1183 1136 0.00      
17 E" 1183 1136 0.00      
18 E" 1046 1004 0.00      
18 E" 1046 1004 0.00      
19 E" 791 760 0.00      
19 E" 791 760 0.00      
20 E" 741 711 0.00      
20 E" 741 711 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 21750.7 cm-1
Scaled (by 0.9604) Zero Point Vibrational Energy (zpe) 20889.4 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 PBE1PBE/3-21G
ABC
0.22600 0.17656 0.17656

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/3-21G

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.892 0.786
C2 -0.772 -0.446 0.786
C3 0.772 -0.446 0.786
C4 0.000 0.892 -0.786
C5 0.772 -0.446 -0.786
C6 -0.772 -0.446 -0.786
H7 0.000 1.695 1.505
H8 -1.468 -0.847 1.505
H9 1.468 -0.847 1.505
H10 0.000 1.695 -1.505
H11 1.468 -0.847 -1.505
H12 -1.468 -0.847 -1.505

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.54421.54421.57222.20372.20371.07772.38612.38612.42763.22883.2288
C21.54421.54422.20372.20371.57222.38611.07772.38613.22883.22882.4276
C31.54421.54422.20371.57222.20372.38612.38611.07773.22882.42763.2288
C41.57222.20372.20371.54421.54422.42763.22883.22881.07772.38612.3861
C52.20372.20371.57221.54421.54423.22883.22882.42762.38611.07772.3861
C62.20371.57222.20371.54421.54423.22882.42763.22882.38612.38611.0777
H71.07772.38612.38612.42763.22883.22882.93512.93513.00964.20384.2038
H82.38611.07772.38613.22883.22882.42762.93512.93514.20384.20383.0096
H92.38612.38611.07773.22882.42763.22882.93512.93514.20383.00964.2038
H102.42763.22883.22881.07772.38612.38613.00964.20384.20382.93512.9351
H113.22883.22882.42762.38611.07772.38614.20384.20383.00962.93512.9351
H123.22882.42763.22882.38612.38611.07774.20383.00964.20382.93512.9351

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 130.189 C1 C3 C2 60.000
C1 C3 C5 90.000 C1 C3 H9 130.189
C1 C4 C5 90.000 C1 C4 C6 90.000
C1 C4 H10 131.829 C2 C1 C3 60.000
C2 C1 C4 90.000 C2 C1 H7 130.189
C2 C3 C5 90.000 C2 C3 H9 130.189
C2 C6 C4 90.000 C2 C6 C5 90.000
C2 C6 H12 131.829 C3 C1 C4 90.000
C3 C1 H7 130.189 C3 C2 C6 90.000
C3 C2 H8 130.189 C3 C5 C4 90.000
C3 C5 C6 90.000 C3 C5 H11 131.829
C4 C1 H7 131.829 C4 C5 C6 60.000
C4 C5 H11 130.189 C4 C6 H12 130.189
C5 C3 H9 131.829 C5 C4 C6 60.000
C5 C4 H10 130.189 C5 C6 H12 130.189
C6 C2 H8 131.829 C6 C4 C5 60.000
C6 C4 H10 130.189 C6 C5 H11 130.189
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.192      
2 C -0.192      
3 C -0.192      
4 C -0.192      
5 C -0.192      
6 C -0.192      
7 H 0.192      
8 H 0.192      
9 H 0.192      
10 H 0.192      
11 H 0.192      
12 H 0.192      


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 -35.481 0.000 0.000
y 0.000 -35.481 0.000
z 0.000 0.000 -32.114
Traceless
 xyz
x -1.684 0.000 0.000
y 0.000 -1.684 0.000
z 0.000 0.000 3.367
Polar
3z2-r26.734
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 6.701 0.000 0.000
y 0.000 6.701 0.000
z 0.000 0.000 7.133


<r2> (average value of r2) Å2
<r2> 103.135
(<r2>)1/2 10.156