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All results from a given calculation for C6H6 (Prismane)

using model chemistry: B3LYP/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 B3LYP/cc-pVTZ
 hartrees
Energy at 0K-232.133573
Energy at 298.15K-232.140207
HF Energy-232.133573
Nuclear repulsion energy220.517526
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 B3LYP/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' 3208 3100 0.00      
2 A1' 1298 1255 0.00      
3 A1' 1116 1079 0.00      
4 A1' 944 912 0.00      
5 A1" 1006 972 0.00      
6 A1" 647 625 0.00      
7 A2' 1006 972 0.00      
8 A2" 3200 3093 50.75      
9 A2" 1345 1300 0.12      
10 A2" 975 943 2.99      
11 E' 3194 3087 28.90      
11 E' 3194 3087 28.90      
12 E' 1259 1217 11.15      
12 E' 1259 1217 11.15      
13 E' 930 899 0.81      
13 E' 930 899 0.81      
14 E' 841 813 0.06      
14 E' 841 813 0.06      
15 E' 816 788 52.21      
15 E' 816 788 52.21      
16 E" 3182 3076 0.00      
16 E" 3182 3076 0.00      
17 E" 1176 1137 0.00      
17 E" 1176 1137 0.00      
18 E" 1015 981 0.00      
18 E" 1015 981 0.00      
19 E" 773 747 0.00      
19 E" 773 747 0.00      
20 E" 694 671 0.00      
20 E" 694 671 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 21252.2 cm-1
Scaled (by 0.9666) Zero Point Vibrational Energy (zpe) 20542.4 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 B3LYP/cc-pVTZ
ABC
0.23349 0.18030 0.18030

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/cc-pVTZ

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.877 0.778
C2 -0.759 -0.438 0.778
C3 0.759 -0.438 0.778
C4 0.000 0.877 -0.778
C5 0.759 -0.438 -0.778
C6 -0.759 -0.438 -0.778
H7 0.000 1.669 1.510
H8 -1.446 -0.835 1.510
H9 1.446 -0.835 1.510
H10 0.000 1.669 -1.510
H11 1.446 -0.835 -1.510
H12 -1.446 -0.835 -1.510

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.51861.51861.55642.17452.17451.07912.35702.35702.42203.20273.2027
C21.51861.51862.17452.17451.55642.35701.07912.35703.20273.20272.4220
C31.51861.51862.17451.55642.17452.35702.35701.07913.20272.42203.2027
C41.55642.17452.17451.51861.51862.42203.20273.20271.07912.35702.3570
C52.17452.17451.55641.51861.51863.20273.20272.42202.35701.07912.3570
C62.17451.55642.17451.51861.51863.20272.42203.20272.35702.35701.0791
H71.07912.35702.35702.42203.20273.20272.89142.89143.02104.18174.1817
H82.35701.07912.35703.20273.20272.42202.89142.89144.18174.18173.0210
H92.35702.35701.07913.20272.42203.20272.89142.89144.18173.02104.1817
H102.42203.20273.20271.07912.35702.35703.02104.18174.18172.89142.8914
H113.20273.20272.42202.35701.07912.35704.18174.18173.02102.89142.8914
H123.20272.42203.20272.35702.35701.07914.18173.02104.18172.89142.8914

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 129.500 C1 C3 C2 60.000
C1 C3 C5 90.000 C1 C3 H9 129.500
C1 C4 C5 90.000 C1 C4 C6 90.000
C1 C4 H10 132.737 C2 C1 C3 60.000
C2 C1 C4 90.000 C2 C1 H7 129.500
C2 C3 C5 90.000 C2 C3 H9 129.500
C2 C6 C4 90.000 C2 C6 C5 90.000
C2 C6 H12 132.737 C3 C1 C4 90.000
C3 C1 H7 129.500 C3 C2 C6 90.000
C3 C2 H8 129.500 C3 C5 C4 90.000
C3 C5 C6 90.000 C3 C5 H11 132.737
C4 C1 H7 132.737 C4 C5 C6 60.000
C4 C5 H11 129.500 C4 C6 H12 129.500
C5 C3 H9 132.737 C5 C4 C6 60.000
C5 C4 H10 129.500 C5 C6 H12 129.500
C6 C2 H8 132.737 C6 C4 C5 60.000
C6 C4 H10 129.500 C6 C5 H11 129.500
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.109      
2 C -0.109      
3 C -0.109      
4 C -0.109      
5 C -0.109      
6 C -0.109      
7 H 0.109      
8 H 0.109      
9 H 0.109      
10 H 0.109      
11 H 0.109      
12 H 0.109      


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 -35.738 0.000 0.000
y 0.000 -35.738 0.000
z 0.000 0.000 -33.218
Traceless
 xyz
x -1.260 0.000 0.000
y 0.000 -1.260 0.000
z 0.000 0.000 2.521
Polar
3z2-r25.041
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 8.112 0.000 0.000
y 0.000 8.112 0.000
z 0.000 0.000 8.697


<r2> (average value of r2) Å2
<r2> 101.681
(<r2>)1/2 10.084