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

using model chemistry: PBEPBE/6-31G(2df,p)

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(2df,p)
 hartrees
Energy at 0K-151.906528
Energy at 298.15K 
HF Energy-151.906528
Nuclear repulsion energy62.758712
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(2df,p)
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 2057 2036 0.00 48.83 0.67 0.80
2 Σg 905 896 0.00 74.18 0.43 0.60
3 Σu 1532 1516 273.43 0.00 0.00 0.00
4 Πg 201 199 0.00 36.00 0.75 0.86
4 Πg 201 199 0.00 36.00 0.75 0.86
5 Πu 144 143 27.79 0.00 0.00 0.00
5 Πu 144 143 27.79 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2592.3 cm-1
Scaled (by 0.9897) Zero Point Vibrational Energy (zpe) 2565.6 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(2df,p)
B
0.16254

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31G(2df,p)

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.650
C2 0.000 0.000 -0.650
C3 0.000 0.000 1.975
C4 0.000 0.000 -1.975

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.29921.32512.6243
C21.29922.62431.3251
C31.32512.62433.9494
C42.62431.32513.9494

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(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.175      
2 C 0.175      
3 C -0.175      
4 C -0.175      


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 -21.286 0.000 0.000
y 0.000 -21.286 0.000
z 0.000 0.000 -32.424
Traceless
 xyz
x 5.569 0.000 0.000
y 0.000 5.569 0.000
z 0.000 0.000 -11.137
Polar
3z2-r2-22.275
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 3.371 0.000 0.000
y 0.000 3.371 0.000
z 0.000 0.000 12.379


<r2> (average value of r2) Å2
<r2> 67.470
(<r2>)1/2 8.214

State 2 (1Σ)

Jump to S1C1
Energy calculated at PBEPBE/6-31G(2df,p)
 hartrees
Energy at 0K-151.876060
Energy at 298.15K 
HF Energy-151.876060
Nuclear repulsion energy62.664171
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(2df,p)
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 2063 2042 0.00 58.30 0.44 0.61
2 Σg 901 891 0.00 68.00 0.34 0.50
3 Σu 1549 1533 330.61 0.00 0.00 0.00
4 Πg 459 455 0.00 3.32 0.75 0.86
4 Πg 227i 225i 0.00 29.85 0.75 0.86
5 Πu 206 203 9.68 0.00 0.00 0.00
5 Πu 89 88 39.32 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2519.5 cm-1
Scaled (by 0.9897) Zero Point Vibrational Energy (zpe) 2493.5 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(2df,p)
B
0.16203

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31G(2df,p)

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 1.977
C4 0.000 0.000 -1.977

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.30381.32552.6293
C21.30382.62931.3255
C31.32552.62933.9548
C42.62931.32553.9548

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(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.176      
2 C 0.176      
3 C -0.176      
4 C -0.176      


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 -19.653 0.000 0.000
y 0.000 -23.033 0.000
z 0.000 0.000 -32.277
Traceless
 xyz
x 8.002 0.000 0.000
y 0.000 2.932 0.000
z 0.000 0.000 -10.934
Polar
3z2-r2-21.867
x2-y23.380
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.371 0.000 0.000
y 0.000 3.371 0.000
z 0.000 0.000 12.379


<r2> (average value of r2) Å2
<r2> 67.627
(<r2>)1/2 8.224