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

using model chemistry: PBEPBE/6-31G**

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 PBEPBE/6-31G**
 hartrees
Energy at 0K-151.897042
Energy at 298.15K 
HF Energy-151.897042
Nuclear repulsion energy62.565657
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 PBEPBE/6-31G**
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 2056 2028 0.00 51.31 0.71 0.83
2 Σg 908 895 0.00 74.80 0.47 0.64
3 Σu 1535 1513 262.78 0.00 0.00 0.00
4 Πg 214 211 0.00 36.90 0.75 0.86
4 Πg 214 211 0.00 36.90 0.75 0.86
5 Πu 144 142 26.48 0.00 0.00 0.00
5 Πu 144 142 26.48 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2607.4 cm-1
Scaled (by 0.9863) Zero Point Vibrational Energy (zpe) 2571.7 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 PBEPBE/6-31G**
B
0.16154

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31G**

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 1.981
C4 0.000 0.000 -1.981

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.30391.32882.6327
C21.30392.63271.3288
C31.32882.63273.9614
C42.63271.32883.9614

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 PBEPBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.129      
2 C 0.129      
3 C -0.129      
4 C -0.129      


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 -21.218 0.000 0.000
y 0.000 -21.218 0.000
z 0.000 0.000 -32.228
Traceless
 xyz
x 5.505 0.000 0.000
y 0.000 5.505 0.000
z 0.000 0.000 -11.010
Polar
3z2-r2-22.019
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 2.976 0.000 0.000
y 0.000 2.976 0.000
z 0.000 0.000 12.306


<r2> (average value of r2) Å2
<r2> 67.724
(<r2>)1/2 8.229

State 2 (1Σ)

Jump to S1C1
Energy calculated at PBEPBE/6-31G**
 hartrees
Energy at 0K-151.866749
Energy at 298.15K 
HF Energy-151.866749
Nuclear repulsion energy62.459228
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 PBEPBE/6-31G**
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 2061 2033 0.00 57.79 0.45 0.62
2 Σg 903 891 0.00 67.95 0.35 0.52
3 Σu 1550 1529 319.12 0.00 0.00 0.00
4 Πg 480 474 0.00 6.72 0.75 0.86
4 Πg 203i 200i 0.00 23.50 0.75 0.86
5 Πu 202 200 8.58 0.00 0.00 0.00
5 Πu 105 104 36.90 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2549.5 cm-1
Scaled (by 0.9863) Zero Point Vibrational Energy (zpe) 2514.5 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 PBEPBE/6-31G**
B
0.16097

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31G**

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 1.984
C4 0.000 0.000 -1.984

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.30871.32952.6382
C21.30872.63821.3295
C31.32952.63823.9676
C42.63821.32953.9676

picture of Carbon tetramer state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.130      
2 C 0.130      
3 C -0.130      
4 C -0.130      


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 -23.037 0.000 0.000
y 0.000 -19.505 0.000
z 0.000 0.000 -32.056
Traceless
 xyz
x 2.743 0.000 0.000
y 0.000 8.042 0.000
z 0.000 0.000 -10.785
Polar
3z2-r2-21.569
x2-y2-3.533
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.976 0.000 0.000
y 0.000 2.976 0.000
z 0.000 0.000 12.306


<r2> (average value of r2) Å2
<r2> 67.895
(<r2>)1/2 8.240