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

using model chemistry: HF/6-311+G(3df,2p)

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/6-311+G(3df,2p)
 hartrees
Energy at 0K-151.230782
Energy at 298.15K 
HF Energy-151.230782
Nuclear repulsion energy64.243956
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/6-311+G(3df,2p)
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 2323 2111 0.00 107.16 0.39 0.57
2 Σg 1008 916 0.00 311.83 0.30 0.46
3 Σu 1723 1566 176.31 0.00 0.00 0.00
4 Πg 503 457 0.00 18.34 0.75 0.86
4 Πg 503 457 0.00 18.34 0.75 0.86
5 Πu 225 204 26.75 0.00 0.00 0.00
5 Πu 225 204 26.75 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 3255.1 cm-1
Scaled (by 0.9086) Zero Point Vibrational Energy (zpe) 2957.5 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/6-311+G(3df,2p)
B
0.17031

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/6-311+G(3df,2p)

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.635
C2 0.000 0.000 -0.635
C3 0.000 0.000 1.929
C4 0.000 0.000 -1.929

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.27091.29342.5643
C21.27092.56431.2934
C31.29342.56433.8577
C42.56431.29343.8577

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/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.450      
2 C 0.450      
3 C -0.450      
4 C -0.450      


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 -22.450 0.000 0.000
y 0.000 -22.450 0.000
z 0.000 0.000 -33.636
Traceless
 xyz
x 5.593 0.000 0.000
y 0.000 5.593 0.000
z 0.000 0.000 -11.186
Polar
3z2-r2-22.373
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 4.801 0.000 0.000
y 0.000 4.801 0.000
z 0.000 0.000 15.802


<r2> (average value of r2) Å2
<r2> 65.842
(<r2>)1/2 8.114

State 2 (1Σ)

Jump to S1C1
Energy calculated at HF/6-311+G(3df,2p)
 hartrees
Energy at 0K-151.181328
Energy at 298.15K 
HF Energy-151.181328
Nuclear repulsion energy64.228426
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/6-311+G(3df,2p)
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 2317 2105 0.00 90.62 0.28 0.44
2 Σg 1012 920 0.00 121.71 0.22 0.35
3 Σu 1716 1559 482.34 0.00 0.00 0.00
4 Πg 545 496 0.00 1.62 0.75 0.86
4 Πg 422 384 0.00 12.84 0.75 0.86
5 Πu 231 210 5.28 0.00 0.00 0.00
5 Πu 209 190 29.30 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 3226.0 cm-1
Scaled (by 0.9086) Zero Point Vibrational Energy (zpe) 2931.1 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 HF/6-311+G(3df,2p)
B
0.17019

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/6-311+G(3df,2p)

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.638
C2 0.000 0.000 -0.638
C3 0.000 0.000 1.929
C4 0.000 0.000 -1.929

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.27501.29142.5664
C21.27502.56641.2914
C31.29142.56643.8578
C42.56641.29143.8578

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/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.433      
2 C 0.433      
3 C -0.433      
4 C -0.433      


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 -20.704 0.000 0.000
y 0.000 -24.555 0.000
z 0.000 0.000 -32.574
Traceless
 xyz
x 7.860 0.000 0.000
y 0.000 2.084 0.000
z 0.000 0.000 -9.944
Polar
3z2-r2-19.889
x2-y23.851
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.495 0.000 0.000
y 0.000 4.380 0.000
z 0.000 0.000 13.585


<r2> (average value of r2) Å2
<r2> 65.730
(<r2>)1/2 8.107