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

using model chemistry: M06-2X/daug-cc-pVTZ

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 M06-2X/daug-cc-pVTZ
 hartrees
Energy at 0K-152.079840
Energy at 298.15K 
HF Energy-152.079840
Nuclear repulsion energy63.641654
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 M06-2X/daug-cc-pVTZ
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 2179 2179 0.00 41.91 0.46 0.63
2 Σg 956 956 0.00 109.88 0.29 0.45
3 Σu 1621 1621 362.79 0.00 0.00 0.00
4 Πg 405 405 0.00 11.81 0.75 0.86
4 Πg 405 405 0.00 11.81 0.75 0.86
5 Πu 180 180 21.79 0.00 0.00 0.00
5 Πu 180 180 21.79 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2963.3 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 2963.3 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 M06-2X/daug-cc-pVTZ
B
0.16712

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/daug-cc-pVTZ

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.642
C2 0.000 0.000 -0.642
C3 0.000 0.000 1.947
C4 0.000 0.000 -1.947

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.28431.30482.5891
C21.28432.58911.3048
C31.30482.58913.8939
C42.58911.30483.8939

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 M06-2X/daug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 1.027      
2 C 1.027      
3 C -1.027      
4 C -1.027      


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 -22.268 0.000 0.000
y 0.000 -22.268 0.000
z 0.000 0.000 -32.661
Traceless
 xyz
x 5.196 0.000 0.000
y 0.000 5.196 0.000
z 0.000 0.000 -10.393
Polar
3z2-r2-20.786
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 4.796 0.000 0.000
y 0.000 4.796 0.000
z 0.000 0.000 13.638


<r2> (average value of r2) Å2
<r2> 66.508
(<r2>)1/2 8.155

State 2 (1Σ)

Jump to S1C1
Energy calculated at M06-2X/daug-cc-pVTZ
 hartrees
Energy at 0K-152.047382
Energy at 298.15K 
HF Energy-152.047382
Nuclear repulsion energy63.561546
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 M06-2X/daug-cc-pVTZ
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 2173 2173 0.00 80.81 0.30 0.46
2 Σg 951 951 0.00 92.65 0.22 0.36
3 Σu 1614 1614 468.22 0.00 0.00 0.00
4 Πg 482 482 0.00 0.41 0.75 0.86
4 Πg 317 317 0.00 13.50 0.75 0.86
5 Πu 207 207 6.12 0.00 0.00 0.00
5 Πu 165 165 32.06 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2954.1 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 2954.1 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 M06-2X/daug-cc-pVTZ
B
0.16668

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/daug-cc-pVTZ

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.644
C2 0.000 0.000 -0.644
C3 0.000 0.000 1.949
C4 0.000 0.000 -1.949

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.28841.30502.5933
C21.28842.59331.3050
C31.30502.59333.8983
C42.59331.30503.8983

picture of Carbon tetramer state 2 conformation 1
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