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All results from a given calculation for C3 (carbon trimer)

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

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D*H 1Σg
1 2 no C2V 1A1

Conformer 1 (D*H)

Jump to S1C2
Energy calculated at TPSSh/6-31G(2df,p)
 hartrees
Energy at 0K-114.059045
Energy at 298.15K-114.055472
HF Energy-114.059045
Nuclear repulsion energy36.714881
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 TPSSh/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 Σg 1224 1181 0.00      
2 Σu 2133 2058 742.45      
3 Πu 118 114 19.59      
4 Πu 118 114 19.59      

Unscaled Zero Point Vibrational Energy (zpe) 1796.1 cm-1
Scaled (by 0.965) Zero Point Vibrational Energy (zpe) 1733.3 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 TPSSh/6-31G(2df,p)
B
0.41743

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

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.000
C2 0.000 0.000 1.297
C3 0.000 0.000 -1.297

Atom - Atom Distances (Å)
  C1 C2 C3
C11.29721.2972
C21.29722.5944
C31.29722.5944

picture of carbon trimer state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C2 C1 C3 180.000
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.171      
2 C -0.086      
3 C -0.086      


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


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.706 0.000 0.000
y 0.000 2.706 0.000
z 0.000 0.000 6.759


<r2> (average value of r2) Å2
<r2> 31.415
(<r2>)1/2 5.605

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at TPSSh/6-31G(2df,p)
 hartrees
Energy at 0K-114.059045
Energy at 298.15K 
HF Energy-114.059045
Nuclear repulsion energy36.711559
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 TPSSh/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 1223 1180 0.00      
2 A1 120 115 19.58      
3 B2 2132 2058 742.36      
3 Πu 119 115 19.58      

Unscaled Zero Point Vibrational Energy (zpe) 1797.2 cm-1
Scaled (by 0.965) Zero Point Vibrational Energy (zpe) 1734.3 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 TPSSh/6-31G(2df,p)
B
0.41743

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.118
C2 0.000 1.286 -0.059
C3 0.000 -1.286 -0.059

Atom - Atom Distances (Å)
  C1 C2 C3
C11.29781.2978
C21.29782.5715
C31.29782.5715

picture of carbon trimer state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C2 C1 C3 164.345
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.171      
2 C -0.086      
3 C -0.086      


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


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.706 0.000 0.000
y 0.000 2.706 0.000
z 0.000 0.000 6.759


<r2> (average value of r2) Å2
<r2> 31.418
(<r2>)1/2 5.605