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

using model chemistry: B2PLYP/6-311+G(3df,2p)

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 B2PLYP/6-311+G(3df,2p)
 hartrees
Energy at 0K-113.988550
Energy at 298.15K 
HF Energy-113.847492
Nuclear repulsion energy36.842804
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 B2PLYP/6-311+G(3df,2p)
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 1212 1212 0.00      
2 Σu 2118 2118 696.51      
3 Πu 133 133 22.08      
3 Πu 133 133 22.08      

Unscaled Zero Point Vibrational Energy (zpe) 1798.6 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1798.6 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 B2PLYP/6-311+G(3df,2p)
B
0.42034

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/6-311+G(3df,2p)

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 1.293
C3 0.000 0.000 -1.293

Atom - Atom Distances (Å)
  C1 C2 C3
C11.29271.2927
C21.29272.5854
C31.29272.5854

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 B2PLYP/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.995      
2 C -0.498      
3 C -0.498      


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 -16.701 0.000 0.000
y 0.000 -16.701 0.000
z 0.000 0.000 -23.154
Traceless
 xyz
x 3.226 0.000 0.000
y 0.000 3.226 0.000
z 0.000 0.000 -6.452
Polar
3z2-r2-12.905
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 3.726 0.000 0.000
y 0.000 3.726 0.000
z 0.000 0.000 7.589


<r2> (average value of r2) Å2
<r2> 31.827
(<r2>)1/2 5.642

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at B2PLYP/6-311+G(3df,2p)
 hartrees
Energy at 0K-113.988550
Energy at 298.15K 
HF Energy-113.847494
Nuclear repulsion energy36.843493
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 B2PLYP/6-311+G(3df,2p)
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 1212 1212 0.00      
2 A1 133 133 22.08      
3 B2 2118 2118 696.54      

Unscaled Zero Point Vibrational Energy (zpe) 1731.9 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1731.9 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 B2PLYP/6-311+G(3df,2p)
B
0.42036

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/6-311+G(3df,2p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.001
C2 0.000 1.293 0.000
C3 0.000 -1.293 0.000

Atom - Atom Distances (Å)
  C1 C2 C3
C11.29271.2927
C21.29272.5853
C31.29272.5853

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 179.919
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.996      
2 C -0.498      
3 C -0.498      


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 -0.002 0.002
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -16.701 0.000 0.000
y 0.000 -23.154 0.000
z 0.000 0.000 -16.701
Traceless
 xyz
x 3.226 0.000 0.000
y 0.000 -6.453 0.000
z 0.000 0.000 3.226
Polar
3z2-r26.453
x2-y26.453
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.726 0.000 0.000
y 0.000 7.589 0.000
z 0.000 0.000 3.726


<r2> (average value of r2) Å2
<r2> 31.826
(<r2>)1/2 5.641