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All results from a given calculation for C6H6 (Prismane)

using model chemistry: HSEh1PBE/daug-cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D3H 1A1'
Energy calculated at HSEh1PBE/daug-cc-pVDZ
 hartrees
Energy at 0K-231.837163
Energy at 298.15K-231.843807
HF Energy-231.837163
Nuclear repulsion energy220.476053
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 HSEh1PBE/daug-cc-pVDZ
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 3236 0.10      
2 A1' 1336 1336 0.00      
3 A1' 1139 1139 0.00      
4 A1' 953 953 0.00      
5 A1" 977 977 0.00      
6 A1" 636 636 0.00      
7 A2' 983 983 0.00      
8 A2" 3227 3227 45.93      
9 A2" 1371 1371 0.31      
10 A2" 979 979 3.69      
11 E' 3222 3222 25.38      
11 E' 3221 3221 25.44      
12 E' 1269 1269 12.60      
12 E' 1268 1268 12.69      
13 E' 954 954 3.99      
13 E' 954 954 3.90      
14 E' 860 860 2.27      
14 E' 860 860 2.06      
15 E' 812 812 50.05      
15 E' 811 811 50.15      
16 E" 3208 3208 0.09      
16 E" 3207 3207 0.00      
17 E" 1166 1166 0.00      
17 E" 1162 1162 0.00      
18 E" 1020 1020 0.00      
18 E" 1019 1019 0.00      
19 E" 788 788 0.00      
19 E" 787 787 0.00      
20 E" 670 670 0.00      
20 E" 670 670 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 21381.9 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21381.9 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 HSEh1PBE/daug-cc-pVDZ
ABC
0.23318 0.18049 0.18049

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/daug-cc-pVDZ

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.877 0.776
C2 -0.759 -0.438 0.776
C3 0.759 -0.438 0.776
C4 0.000 0.877 -0.776
C5 0.759 -0.438 -0.776
C6 -0.759 -0.438 -0.776
H7 0.000 1.674 1.515
H8 -1.450 -0.837 1.515
H9 1.450 -0.837 1.515
H10 0.000 1.674 -1.515
H11 1.450 -0.837 -1.515
H12 -1.450 -0.837 -1.515

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.51851.51851.55222.17152.17151.08722.36342.36342.42603.20773.2077
C21.51851.51852.17152.17151.55222.36341.08722.36343.20773.20772.4260
C31.51851.51852.17151.55222.17152.36342.36341.08723.20772.42603.2077
C41.55222.17152.17151.51851.51852.42603.20773.20771.08722.36342.3634
C52.17152.17151.55221.51851.51853.20773.20772.42602.36341.08722.3634
C62.17151.55222.17151.51851.51853.20772.42603.20772.36342.36341.0872
H71.08722.36342.36342.42603.20773.20772.90002.90003.03004.19424.1942
H82.36341.08722.36343.20773.20772.42602.90002.90004.19424.19423.0300
H92.36342.36341.08723.20772.42603.20772.90002.90004.19423.03004.1942
H102.42603.20773.20771.08722.36342.36343.03004.19424.19422.90002.9000
H113.20773.20772.42602.36341.08722.36344.19424.19423.03002.90002.9000
H123.20772.42603.20772.36342.36341.08724.19423.03004.19422.90002.9000

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 129.442 C1 C3 C2 60.000
C1 C3 C5 90.000 C1 C3 H9 129.442
C1 C4 C5 90.000 C1 C4 C6 90.000
C1 C4 H10 132.813 C2 C1 C3 60.000
C2 C1 C4 90.000 C2 C1 H7 129.442
C2 C3 C5 90.000 C2 C3 H9 129.442
C2 C6 C4 90.000 C2 C6 C5 90.000
C2 C6 H12 132.813 C3 C1 C4 90.000
C3 C1 H7 129.442 C3 C2 C6 90.000
C3 C2 H8 129.442 C3 C5 C4 90.000
C3 C5 C6 90.000 C3 C5 H11 132.813
C4 C1 H7 132.813 C4 C5 C6 60.000
C4 C5 H11 129.442 C4 C6 H12 129.442
C5 C3 H9 132.813 C5 C4 C6 60.000
C5 C4 H10 129.442 C5 C6 H12 129.442
C6 C2 H8 132.813 C6 C4 C5 60.000
C6 C4 H10 129.442 C6 C5 H11 129.442
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/daug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.777      
2 C 0.694      
3 C 0.694      
4 C 0.777      
5 C 0.694      
6 C 0.694      
7 H -0.737      
8 H -0.714      
9 H -0.714      
10 H -0.737      
11 H -0.714      
12 H -0.714      


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 -35.649 0.000 0.000
y 0.000 -35.647 0.000
z 0.000 0.000 -33.084
Traceless
 xyz
x -1.284 0.000 0.000
y 0.000 -1.280 0.000
z 0.000 0.000 2.564
Polar
3z2-r25.128
x2-y2-0.002
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.623 0.000 0.000
y 0.000 8.622 0.000
z 0.000 0.000 9.134


<r2> (average value of r2) Å2
<r2> 101.680
(<r2>)1/2 10.084