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

using model chemistry: HF/CEP-31G

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-31G
 hartrees
Energy at 0K-21.577255
Energy at 298.15K 
HF Energy-21.577255
Nuclear repulsion energy27.571941
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-31G
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 2313 2085 0.00 208.47 0.46 0.63
2 Σg 982 885 0.00 458.15 0.38 0.55
3 Σu 1644 1482 109.16 0.00 0.00 0.00
4 Πg 397 358 0.00 4.83 0.75 0.86
4 Πg 397 358 0.00 4.83 0.75 0.86
5 Πu 216 194 16.99 0.00 0.00 0.00
5 Πu 216 194 16.99 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 3081.6 cm-1
Scaled (by 0.9014) Zero Point Vibrational Energy (zpe) 2777.7 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-31G
B
0.15887

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/CEP-31G

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.654
C2 0.000 0.000 -0.654
C3 0.000 0.000 1.998
C4 0.000 0.000 -1.998

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.30861.34402.6526
C21.30862.65261.3440
C31.34402.65263.9966
C42.65261.34403.9966

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-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.020      
2 C -0.020      
3 C 0.020      
4 C 0.020      


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 -22.561 0.000 0.000
y 0.000 -22.561 0.000
z 0.000 0.000 -35.139
Traceless
 xyz
x 6.289 0.000 0.000
y 0.000 6.289 0.000
z 0.000 0.000 -12.578
Polar
3z2-r2-25.156
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 3.543 0.000 0.000
y 0.000 3.543 0.000
z 0.000 0.000 18.067


<r2> (average value of r2) Å2
<r2> 52.080
(<r2>)1/2 7.217

State 2 (1Σ)

Jump to S1C1
Energy calculated at HF/CEP-31G
 hartrees
Energy at 0K-21.535846
Energy at 298.15K 
HF Energy-21.535846
Nuclear repulsion energy27.575450
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-31G
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 2319 2090 0.00 112.05 0.35 0.52
2 Σg 991 894 0.00 125.15 0.33 0.50
3 Σu 1666 1502 386.48 0.00 0.00 0.00
4 Πg 533 481 0.00 8.39 0.75 0.86
4 Πg 375 338 0.00 26.19 0.75 0.86
5 Πu 245 221 18.20 0.00 0.00 0.00
5 Πu 209 188 0.65 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 3169.2 cm-1
Scaled (by 0.9014) Zero Point Vibrational Energy (zpe) 2856.7 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-31G
B
0.15887

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/CEP-31G

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.657
C2 0.000 0.000 -0.657
C3 0.000 0.000 1.998
C4 0.000 0.000 -1.998

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.31331.34082.6542
C21.31332.65421.3408
C31.34082.65423.9950
C42.65421.34083.9950

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-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.019      
2 C -0.019      
3 C 0.019      
4 C 0.019      


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 -24.743 0.000 0.000
y 0.000 -20.610 0.000
z 0.000 0.000 -33.796
Traceless
 xyz
x 2.460 0.000 0.000
y 0.000 8.659 0.000
z 0.000 0.000 -11.119
Polar
3z2-r2-22.239
x2-y2-4.132
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.649 0.000 0.000
y 0.000 3.097 0.000
z 0.000 0.000 14.303


<r2> (average value of r2) Å2
<r2> 51.848
(<r2>)1/2 7.201