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All results from a given calculation for C6H6 (Trimethylenecycopropane)

using model chemistry: mPW1PW91/aug-cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D3H 1A'
Energy calculated at mPW1PW91/aug-cc-pVDZ
 hartrees
Energy at 0K-232.077431
Energy at 298.15K-232.081920
HF Energy-232.077431
Nuclear repulsion energy189.130151
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/aug-cc-pVDZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1' 3172 3040 0.00      
2 A1' 1918 1838 0.00      
3 A1' 1463 1402 0.00      
4 A1' 810 776 0.00      
5 A1" 740 709 0.00      
6 A2' 3272 3136 0.00      
7 A2' 1094 1048 0.00      
8 A2' 500 479 0.00      
9 A2" 916 878 127.44      
10 A2" 211 202 9.17      
11 E' 3273 3136 5.40      
11 E' 3273 3136 5.40      
12 E' 3172 3040 9.31      
12 E' 3172 3040 9.31      
13 E' 1707 1636 1.22      
13 E' 1707 1636 1.22      
14 E' 1431 1371 11.97      
14 E' 1431 1371 11.96      
15 E' 1125 1078 3.91      
15 E' 1125 1078 3.91      
16 E' 807 774 7.75      
16 E' 807 774 7.74      
17 E' 223 214 0.00      
17 E' 223 214 0.00      
18 E" 912 874 0.00      
18 E" 912 874 0.00      
19 E" 760 728 0.00      
19 E" 760 728 0.00      
20 E" 322 308 0.00      
20 E" 322 308 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 20779.1 cm-1
Scaled (by 0.9583) Zero Point Vibrational Energy (zpe) 19912.6 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/aug-cc-pVDZ
ABC
0.13777 0.13777 0.06889

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

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.833 0.000
C2 0.722 -0.417 0.000
C3 -0.722 -0.417 0.000
C4 0.000 2.169 0.000
C5 1.878 -1.084 0.000
C6 -1.878 -1.084 0.000
H7 -0.933 2.731 0.000
H8 0.933 2.731 0.000
H9 2.831 -0.558 0.000
H10 1.899 -2.173 0.000
H11 -1.899 -2.173 0.000
H12 -2.831 -0.558 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.44361.44361.33542.68452.68452.11432.11433.15473.55603.55603.1547
C21.44361.44362.68451.33542.68453.55603.15472.11432.11433.15473.5560
C31.44361.44362.68452.68451.33543.15473.55603.55603.15472.11432.1143
C41.33542.68452.68453.75673.75671.08881.08883.93094.73904.73903.9309
C52.68451.33542.68453.75673.75674.73903.93091.08881.08883.93094.7390
C62.68452.68451.33543.75673.75673.93094.73904.73903.93091.08881.0888
H72.11433.55603.15471.08884.73903.93091.86514.99835.66274.99833.7976
H82.11433.15473.55601.08883.93094.73901.86513.79764.99835.66274.9983
H93.15472.11433.55603.93091.08884.73904.99833.79761.86514.99835.6627
H103.55602.11433.15474.73901.08883.93095.66274.99831.86513.79764.9983
H113.55603.15472.11434.73903.93091.08884.99835.66274.99833.79761.8651
H123.15473.55602.11433.93094.73901.08883.79764.99835.66274.99831.8651

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 121.078 C1 C4 H8 121.078
C2 C1 C3 60.000 C2 C1 C4 150.000
C2 C3 C6 150.000 C2 C5 H9 121.078
C2 C5 H10 121.078 C3 C1 C4 150.000
C3 C2 C5 150.000 C3 C6 H11 121.078
C3 C6 H12 121.078 H7 C4 H8 117.844
H9 C5 H10 117.844 H11 C6 H12 117.844
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.398      
2 C 0.398      
3 C 0.398      
4 C 0.409      
5 C 0.409      
6 C 0.409      
7 H -0.403      
8 H -0.403      
9 H -0.403      
10 H -0.403      
11 H -0.403      
12 H -0.403      


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 -31.643 0.000 0.000
y 0.000 -31.643 0.000
z 0.000 0.000 -40.031
Traceless
 xyz
x 4.194 0.000 0.000
y 0.000 4.194 0.000
z 0.000 0.000 -8.388
Polar
3z2-r2-16.775
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 15.890 0.000 0.000
y 0.000 15.889 0.000
z 0.000 0.000 7.004


<r2> (average value of r2) Å2
<r2> 168.656
(<r2>)1/2 12.987