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

using model chemistry: PBEPBEultrafine/6-311G*

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/6-311G*
 hartrees
Energy at 0K-113.921588
Energy at 298.15K 
HF Energy-113.921588
Nuclear repulsion energy36.487217
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/6-311G*
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 1185 1172 0.00      
2 Σu 2071 2050 689.50      
3 Πu 70i 70i 17.39      
3 Πu 70i 70i 17.39      

Unscaled Zero Point Vibrational Energy (zpe) 1557.8 cm-1
Scaled (by 0.9896) Zero Point Vibrational Energy (zpe) 1541.6 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 PBEPBEultrafine/6-311G*
B
0.41227

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/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 1.305
C3 0.000 0.000 -1.305

Atom - Atom Distances (Å)
  C1 C2 C3
C11.30531.3053
C21.30532.6106
C31.30532.6106

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/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.021      
2 C -0.010      
3 C -0.010      


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 -16.331 0.000 0.000
y 0.000 -16.331 0.000
z 0.000 0.000 -22.549
Traceless
 xyz
x 3.109 0.000 0.000
y 0.000 3.109 0.000
z 0.000 0.000 -6.218
Polar
3z2-r2-12.436
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 2.721 0.000 0.000
y 0.000 2.721 0.000
z 0.000 0.000 7.003


<r2> (average value of r2) Å2
<r2> 31.940
(<r2>)1/2 5.652

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at PBEPBEultrafine/6-311G*
 hartrees
Energy at 0K-113.921770
Energy at 298.15K 
HF Energy-113.921770
Nuclear repulsion energy36.736444
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/6-311G*
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 1258 1245 3.69      
2 A1 98 97 7.02      
3 B2 2019 1998 545.50      

Unscaled Zero Point Vibrational Energy (zpe) 1687.7 cm-1
Scaled (by 0.9896) Zero Point Vibrational Energy (zpe) 1670.2 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/6-311G*
ABC
17.19612 0.44349 0.43234

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.233
C2 0.000 1.258 -0.117
C3 0.000 -1.258 -0.117

Atom - Atom Distances (Å)
  C1 C2 C3
C11.30631.3063
C21.30632.5170
C31.30632.5170

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 148.912
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.034      
2 C 0.017      
3 C 0.017      


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 0.565 0.565
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -16.349 0.000 0.000
y 0.000 -21.743 0.000
z 0.000 0.000 -16.707
Traceless
 xyz
x 2.876 0.000 0.000
y 0.000 -5.215 0.000
z 0.000 0.000 2.339
Polar
3z2-r24.677
x2-y25.394
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.685 0.000 0.000
y 0.000 6.945 0.000
z 0.000 0.000 2.920


<r2> (average value of r2) Å2
<r2> 30.904
(<r2>)1/2 5.559