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All results from a given calculation for C6H6 (Prismane)

using model chemistry: PBEPBE/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D3H 1A1'
Energy calculated at PBEPBE/6-31G(2df,p)
 hartrees
Energy at 0K-231.780652
Energy at 298.15K-231.787158
HF Energy-231.780652
Nuclear repulsion energy219.303274
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 PBEPBE/6-31G(2df,p)
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' 3151 3119 0.00      
2 A1' 1281 1268 0.00      
3 A1' 1101 1090 0.00      
4 A1' 930 921 0.00      
5 A1" 964 954 0.00      
6 A1" 627 620 0.00      
7 A2' 955 945 0.00      
8 A2" 3145 3113 55.13      
9 A2" 1320 1306 0.14      
10 A2" 954 944 2.28      
11 E' 3138 3105 31.06      
11 E' 3138 3105 31.07      
12 E' 1228 1215 8.53      
12 E' 1228 1215 8.53      
13 E' 922 913 0.68      
13 E' 922 913 0.68      
14 E' 836 828 1.60      
14 E' 836 828 1.61      
15 E' 804 796 38.16      
15 E' 804 796 38.16      
16 E" 3124 3092 0.00      
16 E" 3124 3092 0.00      
17 E" 1135 1123 0.00      
17 E" 1135 1123 0.00      
18 E" 992 982 0.00      
18 E" 992 982 0.00      
19 E" 769 761 0.00      
19 E" 769 761 0.00      
20 E" 669 662 0.00      
20 E" 669 662 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 20828.7 cm-1
Scaled (by 0.9897) Zero Point Vibrational Energy (zpe) 20614.2 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 PBEPBE/6-31G(2df,p)
ABC
0.23050 0.17860 0.17860

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31G(2df,p)

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.882 0.780
C2 -0.764 -0.441 0.780
C3 0.764 -0.441 0.780
C4 0.000 0.882 -0.780
C5 0.764 -0.441 -0.780
C6 -0.764 -0.441 -0.780
H7 0.000 1.683 1.520
H8 -1.457 -0.841 1.520
H9 1.457 -0.841 1.520
H10 0.000 1.683 -1.520
H11 1.457 -0.841 -1.520
H12 -1.457 -0.841 -1.520

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.52771.52771.56072.18402.18401.09002.37502.37502.43583.22263.2226
C21.52771.52772.18402.18401.56072.37501.09002.37503.22263.22262.4358
C31.52771.52772.18401.56072.18402.37502.37501.09003.22262.43583.2226
C41.56072.18402.18401.52771.52772.43583.22263.22261.09002.37502.3750
C52.18402.18401.56071.52771.52773.22263.22262.43582.37501.09002.3750
C62.18401.56072.18401.52771.52773.22262.43583.22262.37502.37501.0900
H71.09002.37502.37502.43583.22263.22262.91452.91453.04014.21154.2115
H82.37501.09002.37503.22263.22262.43582.91452.91454.21154.21153.0401
H92.37502.37501.09003.22262.43583.22262.91452.91454.21153.04014.2115
H102.43583.22263.22261.09002.37502.37503.04014.21154.21152.91452.9145
H113.22263.22262.43582.37501.09002.37504.21154.21153.04012.91452.9145
H123.22262.43583.22262.37502.37501.09004.21153.04014.21152.91452.9145

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 129.502 C1 C3 C2 60.000
C1 C3 C5 90.000 C1 C3 H9 129.502
C1 C4 C5 90.000 C1 C4 C6 90.000
C1 C4 H10 132.734 C2 C1 C3 60.000
C2 C1 C4 90.000 C2 C1 H7 129.502
C2 C3 C5 90.000 C2 C3 H9 129.502
C2 C6 C4 90.000 C2 C6 C5 90.000
C2 C6 H12 132.734 C3 C1 C4 90.000
C3 C1 H7 129.502 C3 C2 C6 90.000
C3 C2 H8 129.502 C3 C5 C4 90.000
C3 C5 C6 90.000 C3 C5 H11 132.734
C4 C1 H7 132.734 C4 C5 C6 60.000
C4 C5 H11 129.502 C4 C6 H12 129.502
C5 C3 H9 132.734 C5 C4 C6 60.000
C5 C4 H10 129.502 C5 C6 H12 129.502
C6 C2 H8 132.734 C6 C4 C5 60.000
C6 C4 H10 129.502 C6 C5 H11 129.502
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.088      
2 C -0.088      
3 C -0.088      
4 C -0.088      
5 C -0.088      
6 C -0.088      
7 H 0.088      
8 H 0.088      
9 H 0.088      
10 H 0.088      
11 H 0.088      
12 H 0.088      


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 -35.004 0.000 0.000
y 0.000 -35.004 0.000
z 0.000 0.000 -32.601
Traceless
 xyz
x -1.201 0.000 0.000
y 0.000 -1.201 0.000
z 0.000 0.000 2.403
Polar
3z2-r24.805
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 7.552 0.000 0.000
y 0.000 7.552 0.000
z 0.000 0.000 8.308


<r2> (average value of r2) Å2
<r2> 102.144
(<r2>)1/2 10.107