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

using model chemistry: B3LYPultrafine/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 B3LYPultrafine/6-31G(2df,p)
 hartrees
Energy at 0K-114.053091
Energy at 298.15K 
HF Energy-114.053091
Nuclear repulsion energy36.858227
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 B3LYPultrafine/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 1242 1198 0.00      
2 Σu 2158 2083 752.29      
3 Πu 172 166 18.24      
3 Πu 172 166 18.24      

Unscaled Zero Point Vibrational Energy (zpe) 1872.3 cm-1
Scaled (by 0.965) Zero Point Vibrational Energy (zpe) 1806.8 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 B3LYPultrafine/6-31G(2df,p)
B
0.42069

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/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 1.292
C3 0.000 0.000 -1.292

Atom - Atom Distances (Å)
  C1 C2 C3
C11.29211.2921
C21.29212.5843
C31.29212.5843

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 B3LYPultrafine/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.203      
2 C -0.102      
3 C -0.102      


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 -15.868 0.000 0.000
y 0.000 -15.868 0.000
z 0.000 0.000 -22.268
Traceless
 xyz
x 3.200 0.000 0.000
y 0.000 3.200 0.000
z 0.000 0.000 -6.400
Polar
3z2-r2-12.801
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 2.665 0.000 0.000
y 0.000 2.665 0.000
z 0.000 0.000 6.644


<r2> (average value of r2) Å2
<r2> 31.279
(<r2>)1/2 5.593

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at B3LYPultrafine/6-31G(2df,p)
 hartrees
Energy at 0K-114.053091
Energy at 298.15K 
HF Energy-114.053091
Nuclear repulsion energy36.858246
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 B3LYPultrafine/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 1242 1198 0.00      
2 Σu 2158 2083 752.29      
3 Πu 172 166 18.24      
3 Πu 172 166 18.24      

Unscaled Zero Point Vibrational Energy (zpe) 1872.3 cm-1
Scaled (by 0.965) Zero Point Vibrational Energy (zpe) 1806.8 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 B3LYPultrafine/6-31G(2df,p)
B
0.42069

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/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 -1.292
C3 0.000 0.000 1.292

Atom - Atom Distances (Å)
  C1 C2 C3
C11.29211.2921
C21.29212.5843
C31.29212.5843

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 180.000
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.203      
2 C -0.102      
3 C -0.102      


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 -15.868 0.000 0.000
y 0.000 -15.868 0.000
z 0.000 0.000 -22.268
Traceless
 xyz
x 3.200 0.000 0.000
y 0.000 3.200 0.000
z 0.000 0.000 -6.400
Polar
3z2-r2-12.801
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 2.665 0.000 0.000
y 0.000 2.665 0.000
z 0.000 0.000 6.644


<r2> (average value of r2) Å2
<r2> 31.279
(<r2>)1/2 5.593