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All results from a given calculation for C4 (Carbon tetramer)

using model chemistry: PBEPBEultrafine/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D*H 3Σg
2 1 yes D*H 1Σ

State 1 (3Σg)

Jump to S2C1
Energy calculated at PBEPBEultrafine/6-311G*
 hartrees
Energy at 0K-151.930318
Energy at 298.15K 
HF Energy-151.930318
Nuclear repulsion energy62.815170
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 2051 2029 0.00 63.95 0.74 0.85
2 Σg 904 895 0.00 83.12 0.49 0.66
3 Σu 1530 1515 287.58 0.00 0.00 0.00
4 Πg 152 150 0.00 56.30 0.75 0.86
4 Πg 152 150 0.00 56.30 0.75 0.86
5 Πu 128 127 26.64 0.00 0.00 0.00
5 Πu 128 127 26.64 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2522.4 cm-1
Scaled (by 0.9896) Zero Point Vibrational Energy (zpe) 2496.2 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*
B
0.16283

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 0.649
C2 0.000 0.000 -0.649
C3 0.000 0.000 1.973
C4 0.000 0.000 -1.973

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.29891.32342.6223
C21.29892.62231.3234
C31.32342.62233.9456
C42.62231.32343.9456

picture of Carbon tetramer state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 180.000 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 0.082      
2 C 0.082      
3 C -0.082      
4 C -0.082      


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 -21.859 0.000 0.000
y 0.000 -21.859 0.000
z 0.000 0.000 -32.918
Traceless
 xyz
x 5.530 0.000 0.000
y 0.000 5.530 0.000
z 0.000 0.000 -11.059
Polar
3z2-r2-22.119
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 3.404 0.000 0.000
y 0.000 3.404 0.000
z 0.000 0.000 12.855


<r2> (average value of r2) Å2
<r2> 67.721
(<r2>)1/2 8.229

State 2 (1Σ)

Jump to S1C1
Energy calculated at PBEPBEultrafine/6-311G*
 hartrees
Energy at 0K-151.900443
Energy at 298.15K 
HF Energy-151.900443
Nuclear repulsion energy62.704429
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 2054 2033 0.00 72.98 0.48 0.65
2 Σg 900 890 0.00 75.34 0.37 0.54
3 Σu 1544 1528 339.38 0.00 0.00 0.00
4 Πg 449 445 0.00 4.88 0.75 0.86
4 Πg 249i 247i 0.00 34.14 0.75 0.86
5 Πu 196 194 7.23 0.00 0.00 0.00
5 Πu 70 69 38.87 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2481.8 cm-1
Scaled (by 0.9896) Zero Point Vibrational Energy (zpe) 2455.9 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 PBEPBEultrafine/6-311G*
B
0.16223

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 0.652
C2 0.000 0.000 -0.652
C3 0.000 0.000 1.976
C4 0.000 0.000 -1.976

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.30351.32432.6278
C21.30352.62781.3243
C31.32432.62783.9521
C42.62781.32433.9521

picture of Carbon tetramer state 2 conformation 1
More geometry information
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 0.081      
2 C 0.081      
3 C -0.081      
4 C -0.081      


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 -20.101 0.000 0.000
y 0.000 -23.773 0.000
z 0.000 0.000 -32.781
Traceless
 xyz
x 8.176 0.000 0.000
y 0.000 2.668 0.000
z 0.000 0.000 -10.844
Polar
3z2-r2-21.688
x2-y23.672
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.404 0.000 0.000
y 0.000 3.404 0.000
z 0.000 0.000 12.855


<r2> (average value of r2) Å2
<r2> 67.914
(<r2>)1/2 8.241