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All results from a given calculation for C6H6 (Prismane)

using model chemistry: PBEPBEultrafine/aug-cc-pVTZ

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/aug-cc-pVTZ
 hartrees
Energy at 0K-231.839987
Energy at 298.15K-231.846443
HF Energy-231.839987
Nuclear repulsion energy219.677621
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/aug-cc-pVTZ
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' 3134 3099 0.00      
2 A1' 1271 1257 0.00      
3 A1' 1095 1083 0.00      
4 A1' 923 912 0.00      
5 A1" 952 941 0.00      
6 A1" 622 615 0.00      
7 A2' 955 944 0.00      
8 A2" 3127 3092 52.67      
9 A2" 1304 1290 0.09      
10 A2" 947 937 3.63      
11 E' 3121 3086 29.41      
11 E' 3120 3085 29.43      
12 E' 1214 1201 13.95      
12 E' 1214 1201 13.99      
13 E' 904 893 2.95      
13 E' 903 893 2.94      
14 E' 825 816 0.48      
14 E' 825 816 0.52      
15 E' 789 781 48.43      
15 E' 789 780 48.50      
16 E" 3108 3073 0.00      
16 E" 3107 3072 0.01      
17 E" 1129 1116 0.00      
17 E" 1128 1115 0.00      
18 E" 978 967 0.00      
18 E" 977 966 0.00      
19 E" 751 743 0.00      
19 E" 751 743 0.00      
20 E" 652 644 0.00      
20 E" 651 643 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 20632.2 cm-1
Scaled (by 0.9888) Zero Point Vibrational Energy (zpe) 20401.1 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 PBEPBEultrafine/aug-cc-pVTZ
ABC
0.23147 0.17914 0.17914

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/aug-cc-pVTZ

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.880 0.779
C2 -0.762 -0.440 0.779
C3 0.762 -0.440 0.779
C4 0.000 0.880 -0.779
C5 0.762 -0.440 -0.779
C6 -0.762 -0.440 -0.779
H7 0.000 1.678 1.519
H8 -1.453 -0.839 1.519
H9 1.453 -0.839 1.519
H10 0.000 1.678 -1.519
H11 1.453 -0.839 -1.519
H12 -1.453 -0.839 -1.519

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.52471.52471.55872.18052.18051.08822.36992.36992.43313.21753.2175
C21.52471.52472.18052.18051.55872.36991.08822.36993.21753.21752.4331
C31.52471.52472.18051.55872.18052.36992.36991.08823.21752.43313.2175
C41.55872.18052.18051.52471.52472.43313.21753.21751.08822.36992.3699
C52.18052.18051.55871.52471.52473.21753.21752.43312.36991.08822.3699
C62.18051.55872.18051.52471.52473.21752.43313.21752.36992.36991.0882
H71.08822.36992.36992.43313.21753.21752.90692.90693.03834.20494.2049
H82.36991.08822.36993.21753.21752.43312.90692.90694.20494.20493.0383
H92.36992.36991.08823.21752.43313.21752.90692.90694.20493.03834.2049
H102.43313.21753.21751.08822.36992.36993.03834.20494.20492.90692.9069
H113.21753.21752.43312.36991.08822.36994.20494.20493.03832.90692.9069
H123.21752.43313.21752.36992.36991.08824.20493.03834.20492.90692.9069

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 129.427 C1 C3 C2 60.000
C1 C3 C5 90.000 C1 C3 H9 129.427
C1 C4 C5 90.000 C1 C4 C6 90.000
C1 C4 H10 132.832 C2 C1 C3 60.000
C2 C1 C4 90.000 C2 C1 H7 129.427
C2 C3 C5 90.000 C2 C3 H9 129.427
C2 C6 C4 90.000 C2 C6 C5 90.000
C2 C6 H12 132.832 C3 C1 C4 90.000
C3 C1 H7 129.427 C3 C2 C6 90.000
C3 C2 H8 129.427 C3 C5 C4 90.000
C3 C5 C6 90.000 C3 C5 H11 132.832
C4 C1 H7 132.832 C4 C5 C6 60.000
C4 C5 H11 129.427 C4 C6 H12 129.427
C5 C3 H9 132.832 C5 C4 C6 60.000
C5 C4 H10 129.427 C5 C6 H12 129.427
C6 C2 H8 132.832 C6 C4 C5 60.000
C6 C4 H10 129.427 C6 C5 H11 129.427
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.496      
2 C -0.540      
3 C -0.540      
4 C -0.496      
5 C -0.540      
6 C -0.540      
7 H 0.489      
8 H 0.544      
9 H 0.544      
10 H 0.489      
11 H 0.544      
12 H 0.544      


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 -35.885 0.000 0.000
y 0.000 -35.885 0.000
z 0.000 0.000 -33.361
Traceless
 xyz
x -1.262 0.000 0.000
y 0.000 -1.262 0.000
z 0.000 0.000 2.524
Polar
3z2-r25.048
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 8.917 0.000 0.000
y 0.000 8.917 0.000
z 0.000 0.000 9.479


<r2> (average value of r2) Å2
<r2> 102.399
(<r2>)1/2 10.119