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All results from a given calculation for C6H6 (Prismane)

using model chemistry: mPW1PW91/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 mPW1PW91/cc-pVTZ
 hartrees
Energy at 0K-232.091463
Energy at 298.15K-232.098163
HF Energy-232.091463
Nuclear repulsion energy221.405038
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/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' 3237 3105 0.00      
2 A1' 1330 1276 0.00      
3 A1' 1139 1092 0.00      
4 A1' 960 920 0.00      
5 A1" 1009 968 0.00      
6 A1" 650 623 0.00      
7 A2' 1010 969 0.00      
8 A2" 3229 3097 43.31      
9 A2" 1372 1316 0.03      
10 A2" 987 946 3.54      
11 E' 3223 3091 23.86      
11 E' 3223 3091 23.87      
12 E' 1275 1223 12.33      
12 E' 1275 1223 12.33      
13 E' 957 918 2.32      
13 E' 957 918 2.32      
14 E' 863 828 0.78      
14 E' 863 828 0.77      
15 E' 827 794 52.14      
15 E' 827 794 52.13      
16 E" 3210 3079 0.00      
16 E" 3210 3079 0.00      
17 E" 1182 1133 0.00      
17 E" 1182 1133 0.00      
18 E" 1030 988 0.00      
18 E" 1030 988 0.00      
19 E" 794 762 0.00      
19 E" 794 762 0.00      
20 E" 691 663 0.00      
20 E" 691 663 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 21511.4 cm-1
Scaled (by 0.9592) Zero Point Vibrational Energy (zpe) 20633.8 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/cc-pVTZ
ABC
0.23535 0.18185 0.18185

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/cc-pVTZ

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.873 0.774
C2 -0.756 -0.436 0.774
C3 0.756 -0.436 0.774
C4 0.000 0.873 -0.774
C5 0.756 -0.436 -0.774
C6 -0.756 -0.436 -0.774
H7 0.000 1.665 1.507
H8 -1.442 -0.832 1.507
H9 1.442 -0.832 1.507
H10 0.000 1.665 -1.507
H11 1.442 -0.832 -1.507
H12 -1.442 -0.832 -1.507

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.51201.51201.54832.16412.16411.07902.35032.35032.41483.19233.1923
C21.51201.51202.16412.16411.54832.35031.07902.35033.19233.19232.4148
C31.51201.51202.16411.54832.16412.35032.35031.07903.19232.41483.1923
C41.54832.16412.16411.51201.51202.41483.19233.19231.07902.35032.3503
C52.16412.16411.54831.51201.51203.19233.19232.41482.35031.07902.3503
C62.16411.54832.16411.51201.51203.19232.41483.19232.35032.35031.0790
H71.07902.35032.35032.41483.19233.19232.88352.88353.01434.17144.1714
H82.35031.07902.35033.19233.19232.41482.88352.88354.17144.17143.0143
H92.35032.35031.07903.19232.41483.19232.88352.88354.17143.01434.1714
H102.41483.19233.19231.07902.35032.35033.01434.17144.17142.88352.8835
H113.19233.19232.41482.35031.07902.35034.17144.17143.01432.88352.8835
H123.19232.41483.19232.35032.35031.07904.17143.01434.17142.88352.8835

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 129.459 C1 C3 C2 60.000
C1 C3 C5 90.000 C1 C3 H9 129.459
C1 C4 C5 90.000 C1 C4 C6 90.000
C1 C4 H10 132.791 C2 C1 C3 60.000
C2 C1 C4 90.000 C2 C1 H7 129.459
C2 C3 C5 90.000 C2 C3 H9 129.459
C2 C6 C4 90.000 C2 C6 C5 90.000
C2 C6 H12 132.791 C3 C1 C4 90.000
C3 C1 H7 129.459 C3 C2 C6 90.000
C3 C2 H8 129.459 C3 C5 C4 90.000
C3 C5 C6 90.000 C3 C5 H11 132.791
C4 C1 H7 132.791 C4 C5 C6 60.000
C4 C5 H11 129.459 C4 C6 H12 129.459
C5 C3 H9 132.791 C5 C4 C6 60.000
C5 C4 H10 129.459 C5 C6 H12 129.459
C6 C2 H8 132.791 C6 C4 C5 60.000
C6 C4 H10 129.459 C6 C5 H11 129.459
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.097      
2 C -0.097      
3 C -0.097      
4 C -0.097      
5 C -0.097      
6 C -0.097      
7 H 0.097      
8 H 0.097      
9 H 0.097      
10 H 0.097      
11 H 0.097      
12 H 0.097      


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 -35.325 0.000 0.000
y 0.000 -35.325 0.000
z 0.000 0.000 -32.725
Traceless
 xyz
x -1.300 0.000 0.000
y 0.000 -1.300 0.000
z 0.000 0.000 2.600
Polar
3z2-r25.199
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 7.985 0.000 0.000
y 0.000 7.985 0.000
z 0.000 0.000 8.557


<r2> (average value of r2) Å2
<r2> 100.788
(<r2>)1/2 10.039