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

using model chemistry: TPSSh/6-311G**

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/6-311G**
 hartrees
Energy at 0K-114.076234
Energy at 298.15K 
HF Energy-114.076234
Nuclear repulsion energy36.730910
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/6-311G**
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 1220 1220 0.00      
2 Σu 2126 2126 792.59      
3 Πu 63 63 13.68      
3 Πu 63 63 13.68      

Unscaled Zero Point Vibrational Energy (zpe) 1735.5 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1735.5 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/6-311G**
B
0.41779

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/6-311G**

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
C11.29661.2966
C21.29662.5932
C31.29662.5932

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/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.017      
2 C -0.008      
3 C -0.008      


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 2.704 0.000 0.000
y 0.000 2.704 0.000
z 0.000 0.000 7.018


<r2> (average value of r2) Å2
<r2> 31.630
(<r2>)1/2 5.624

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at TPSSh/6-311G**
 hartrees
Energy at 0K-114.076234
Energy at 298.15K 
HF Energy-114.076234
Nuclear repulsion energy36.727419
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/6-311G**
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 1220 1220 0.00      
2 A1 66 66 13.66      
3 B2 2125 2125 792.49      

Unscaled Zero Point Vibrational Energy (zpe) 1705.3 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1705.3 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/6-311G**
B
0.41771

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/6-311G**

Point Group is C2v

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

Atom - Atom Distances (Å)
  C1 C2 C3
C11.29671.2967
C21.29672.5935
C31.29672.5935

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 179.942
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.016      
2 C -0.008      
3 C -0.008      


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 0.001 0.001
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 2.704 0.000 0.000
y 0.000 7.019 0.000
z 0.000 0.000 2.704


<r2> (average value of r2) Å2
<r2> 31.634
(<r2>)1/2 5.624