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

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

19 10 17 12 22

States and conformations

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

Conformer 1 (D*H)

Jump to S1C2
Energy calculated at PBEPBEultrafine/6-311+G(3df,2p)
 hartrees
Energy at 0K-113.930685
Energy at 298.15K 
HF Energy-113.930685
Nuclear repulsion energy36.614636
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 PBEPBEultrafine/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 1189 1189 0.00      
2 Σu 2069 2069 763.34      
3 Πu 64i 64i 23.64      
3 Πu 64i 64i 23.64      

Unscaled Zero Point Vibrational Energy (zpe) 1564.4 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1564.4 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 PBEPBEultrafine/6-311+G(3df,2p)
B
0.41515

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/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 1.301
C3 0.000 0.000 -1.301

Atom - Atom Distances (Å)
  C1 C2 C3
C11.30071.3007
C21.30072.6015
C31.30072.6015

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 PBEPBEultrafine/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 1.064      
2 C -0.532      
3 C -0.532      


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 -16.648 0.000 0.000
y 0.000 -16.648 0.000
z 0.000 0.000 -23.002
Traceless
 xyz
x 3.177 0.000 0.000
y 0.000 3.177 0.000
z 0.000 0.000 -6.354
Polar
3z2-r2-12.708
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 3.810 0.000 0.000
y 0.000 3.810 0.000
z 0.000 0.000 7.599


<r2> (average value of r2) Å2
<r2> 32.024
(<r2>)1/2 5.659

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at PBEPBEultrafine/6-311+G(3df,2p)
 hartrees
Energy at 0K-113.930789
Energy at 298.15K 
HF Energy-113.930789
Nuclear repulsion energy36.795906
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 PBEPBEultrafine/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 1243 1243 1.96      
2 A1 82 82 11.82      
3 B2 2032 2032 646.89      

Unscaled Zero Point Vibrational Energy (zpe) 1678.0 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1678.0 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 PBEPBEultrafine/6-311+G(3df,2p)
ABC
23.93560 0.43752 0.42966

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.198
C2 0.000 1.267 -0.099
C3 0.000 -1.267 -0.099

Atom - Atom Distances (Å)
  C1 C2 C3
C11.30131.3013
C21.30132.5341
C31.30132.5341

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 153.641
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.745      
2 C -0.373      
3 C -0.373      


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 0.575 0.575
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -16.662 0.000 0.000
y 0.000 -22.368 0.000
z 0.000 0.000 -16.865
Traceless
 xyz
x 2.954 0.000 0.000
y 0.000 -5.604 0.000
z 0.000 0.000 2.650
Polar
3z2-r25.300
x2-y25.705
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.786 0.000 0.000
y 0.000 7.571 0.000
z 0.000 0.000 3.801


<r2> (average value of r2) Å2
<r2> 31.254
(<r2>)1/2 5.591