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

using model chemistry: HF/CEP-121G*

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 HF/CEP-121G*
 hartrees
Energy at 0K-21.671635
Energy at 298.15K 
HF Energy-21.671635
Nuclear repulsion energy28.316254
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 HF/CEP-121G*
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 2285 2064 0.00 119.36 0.43 0.60
2 Σg 998 902 0.00 347.31 0.34 0.51
3 Σu 1699 1535 164.73 0.00 0.00 0.00
4 Πg 475 429 0.00 11.53 0.75 0.86
4 Πg 475 429 0.00 11.53 0.75 0.86
5 Πu 249 225 24.07 0.00 0.00 0.00
5 Πu 249 225 24.07 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 3214.2 cm-1
Scaled (by 0.9034) Zero Point Vibrational Energy (zpe) 2903.7 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 HF/CEP-121G*
B
0.16750

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/CEP-121G*

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.641
C2 0.000 0.000 -0.641
C3 0.000 0.000 1.945
C4 0.000 0.000 -1.945

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.28131.30432.5856
C21.28132.58561.3043
C31.30432.58563.8900
C42.58561.30433.8900

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 HF/CEP-121G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.522      
2 C 0.522      
3 C -0.522      
4 C -0.522      


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 -22.158 0.000 0.000
y 0.000 -22.158 0.000
z 0.000 0.000 -33.668
Traceless
 xyz
x 5.755 0.000 0.000
y 0.000 5.755 0.000
z 0.000 0.000 -11.510
Polar
3z2-r2-23.021
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 3.853 0.000 0.000
y 0.000 3.853 0.000
z 0.000 0.000 16.113


<r2> (average value of r2) Å2
<r2> 49.783
(<r2>)1/2 7.056

State 2 (1Σ)

Jump to S1C1
Energy calculated at HF/CEP-121G*
 hartrees
Energy at 0K-21.623898
Energy at 298.15K 
HF Energy-21.623898
Nuclear repulsion energy28.296584
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 HF/CEP-121G*
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 2281 2060 0.00 80.82 0.34 0.51
2 Σg 1001 904 0.00 118.55 0.29 0.45
3 Σu 1695 1531 476.64 0.00 0.00 0.00
4 Πg 566 511 0.00 7.79 0.75 0.86
4 Πg 546 493 0.00 11.74 0.75 0.86
5 Πu 258 233 26.60 0.00 0.00 0.00
5 Πu 255 231 3.35 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 3300.8 cm-1
Scaled (by 0.9034) Zero Point Vibrational Energy (zpe) 2981.9 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 HF/CEP-121G*
B
0.16723

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/CEP-121G*

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.643
C2 0.000 0.000 -0.643
C3 0.000 0.000 1.946
C4 0.000 0.000 -1.946

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.28631.30282.5891
C21.28632.58911.3028
C31.30282.58913.8918
C42.58911.30283.8918

picture of Carbon tetramer state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/CEP-121G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.515      
2 C 0.515      
3 C -0.515      
4 C -0.515      


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 -24.281 0.000 0.000
y 0.000 -20.350 0.000
z 0.000 0.000 -32.471
Traceless
 xyz
x 2.129 0.000 0.000
y 0.000 8.026 0.000
z 0.000 0.000 -10.156
Polar
3z2-r2-20.311
x2-y2-3.931
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.189 0.000 0.000
y 0.000 3.424 0.000
z 0.000 0.000 13.556


<r2> (average value of r2) Å2
<r2> 49.654
(<r2>)1/2 7.047