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All results from a given calculation for C6H6 (Trimethylenecycopropane)

using model chemistry: B3LYP/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D3H 1A'
Energy calculated at B3LYP/6-31G*
 hartrees
Energy at 0K-232.113638
Energy at 298.15K-232.118161
HF Energy-232.113638
Nuclear repulsion energy189.105602
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/6-31G*
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' 3165 3039 0.00      
2 A1' 1894 1819 0.00      
3 A1' 1501 1441 0.00      
4 A1' 804 772 0.00      
5 A1" 750 720 0.00      
6 A2' 3247 3118 0.00      
7 A2' 1109 1065 0.00      
8 A2' 507 486 0.00      
9 A2" 894 859 122.22      
10 A2" 221 212 3.52      
11 E' 3247 3118 11.13      
11 E' 3247 3118 11.14      
12 E' 3164 3039 13.18      
12 E' 3164 3039 13.18      
13 E' 1696 1628 3.91      
13 E' 1696 1628 3.91      
14 E' 1463 1405 7.15      
14 E' 1463 1405 7.15      
15 E' 1138 1093 4.34      
15 E' 1138 1093 4.34      
16 E' 804 772 6.10      
16 E' 804 772 6.10      
17 E' 223 214 0.01      
17 E' 223 214 0.01      
18 E" 889 854 0.00      
18 E" 889 854 0.00      
19 E" 772 741 0.00      
19 E" 772 741 0.00      
20 E" 358 344 0.00      
20 E" 358 344 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 20800.7 cm-1
Scaled (by 0.9603) Zero Point Vibrational Energy (zpe) 19974.9 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 B3LYP/6-31G*
ABC
0.13766 0.13766 0.06883

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G*

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.834 0.000
C2 0.722 -0.417 0.000
C3 -0.722 -0.417 0.000
C4 0.000 2.169 0.000
C5 1.879 -1.085 0.000
C6 -1.879 -1.085 0.000
H7 -0.928 2.735 0.000
H8 0.928 2.735 0.000
H9 2.832 -0.564 0.000
H10 1.904 -2.171 0.000
H11 -1.904 -2.171 0.000
H12 -2.832 -0.564 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.44471.44471.33542.68552.68552.11492.11493.15833.55753.55753.1583
C21.44471.44472.68551.33542.68553.55753.15832.11492.11493.15833.5575
C31.44471.44472.68552.68551.33543.15833.55753.55753.15832.11492.1149
C41.33542.68552.68553.75763.75761.08641.08643.93604.73974.73973.9360
C52.68551.33542.68553.75763.75764.73973.93601.08641.08643.93604.7397
C62.68552.68551.33543.75763.75763.93604.73974.73973.93601.08641.0864
H72.11493.55753.15831.08644.73973.93601.85575.00175.66435.00173.8086
H82.11493.15833.55751.08643.93604.73971.85573.80865.00175.66435.0017
H93.15832.11493.55753.93601.08644.73975.00173.80861.85575.00175.6643
H103.55752.11493.15834.73971.08643.93605.66435.00171.85573.80865.0017
H113.55753.15832.11494.73973.93601.08645.00175.66435.00173.80861.8557
H123.15833.55752.11493.93604.73971.08643.80865.00175.66435.00171.8557

picture of Trimethylenecycopropane 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 C5 150.000
C1 C3 C2 60.000 C1 C3 C6 150.000
C1 C4 H7 121.345 C1 C4 H8 121.345
C2 C1 C3 60.000 C2 C1 C4 150.000
C2 C3 C6 150.000 C2 C5 H9 121.345
C2 C5 H10 121.345 C3 C1 C4 150.000
C3 C2 C5 150.000 C3 C6 H11 121.345
C3 C6 H12 121.345 H7 C4 H8 117.311
H9 C5 H10 117.311 H11 C6 H12 117.311
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.138      
2 C 0.138      
3 C 0.138      
4 C -0.446      
5 C -0.446      
6 C -0.446      
7 H 0.154      
8 H 0.154      
9 H 0.154      
10 H 0.154      
11 H 0.154      
12 H 0.154      


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 -31.407 0.000 0.000
y 0.000 -31.407 0.000
z 0.000 0.000 -38.579
Traceless
 xyz
x 3.586 0.000 0.000
y 0.000 3.586 0.000
z 0.000 0.000 -7.172
Polar
3z2-r2-14.343
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 13.976 0.000 0.000
y 0.000 13.977 0.000
z 0.000 0.000 3.201


<r2> (average value of r2) Å2
<r2> 168.385
(<r2>)1/2 12.976