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

using model chemistry: TPSSh/cc-pVDZ

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 TPSSh/cc-pVDZ
 hartrees
Energy at 0K-152.119447
Energy at 298.15K 
HF Energy-152.119447
Nuclear repulsion energy62.788485
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 TPSSh/cc-pVDZ
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 2112 2054 0.00 49.71 0.58 0.74
2 Σg 931 906 0.00 87.68 0.43 0.60
3 Σu 1569 1525 282.66 0.00 0.00 0.00
4 Πg 367 357 0.00 8.81 0.75 0.86
4 Πg 367 357 0.00 8.81 0.75 0.86
5 Πu 169 165 25.32 0.00 0.00 0.00
5 Πu 169 165 25.32 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2842.2 cm-1
Scaled (by 0.9724) Zero Point Vibrational Energy (zpe) 2763.8 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 TPSSh/cc-pVDZ
B
0.16270

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/cc-pVDZ

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 1.974
C4 0.000 0.000 -1.974

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.29851.32452.6230
C21.29852.62301.3245
C31.32452.62303.9475
C42.62301.32453.9475

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 TPSSh/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.201      
2 C 0.201      
3 C -0.201      
4 C -0.201      


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


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.256 0.000 0.000
y 0.000 3.256 0.000
z 0.000 0.000 13.082


<r2> (average value of r2) Å2
<r2> 67.679
(<r2>)1/2 8.227

State 2 (1Σ)

Jump to S1C1
Energy calculated at TPSSh/cc-pVDZ
 hartrees
Energy at 0K-152.086095
Energy at 298.15K 
HF Energy-152.086095
Nuclear repulsion energy62.691055
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 TPSSh/cc-pVDZ
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 2115 2056 0.00 65.94 0.40 0.57
2 Σg 927 902 0.00 72.83 0.35 0.52
3 Σu 1585 1541 360.46 0.00 0.00 0.00
4 Πg 496 483 0.00 9.45 0.75 0.86
4 Πg 277 269 0.00 8.46 0.75 0.86
5 Πu 211 205 7.50 0.00 0.00 0.00
5 Πu 139 135 36.46 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2875.1 cm-1
Scaled (by 0.9724) Zero Point Vibrational Energy (zpe) 2795.7 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 TPSSh/cc-pVDZ
B
0.16216

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/cc-pVDZ

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
C11.30391.32452.6284
C21.30392.62841.3245
C31.32452.62843.9529
C42.62841.32453.9529

picture of Carbon tetramer state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.198      
2 C 0.198      
3 C -0.198      
4 C -0.198      


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


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.920 0.000 0.000
y 0.000 3.156 0.000
z 0.000 0.000 12.622


<r2> (average value of r2) Å2
<r2> 67.830
(<r2>)1/2 8.236