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

using model chemistry: BLYP/6-311G*

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 BLYP/6-311G*
 hartrees
Energy at 0K-152.096712
Energy at 298.15K 
HF Energy-152.096712
Nuclear repulsion energy62.860673
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 BLYP/6-311G*
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 2030 2025 0.00 62.89 0.71 0.83
2 Σg 899 897 0.00 80.84 0.47 0.63
3 Σu 1524 1520 273.45 0.00 0.00 0.00
4 Πg 228 228 0.00 33.18 0.75 0.86
4 Πg 228 228 0.00 33.18 0.75 0.86
5 Πu 142 141 26.08 0.00 0.00 0.00
5 Πu 142 141 26.08 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2596.0 cm-1
Scaled (by 0.9975) Zero Point Vibrational Energy (zpe) 2589.5 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 BLYP/6-311G*
B
0.16305

See section I.F.4 to change rotational constant units
Geometric Data calculated at BLYP/6-311G*

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 1.971
C4 0.000 0.000 -1.971

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.29931.32162.6209
C21.29932.62091.3216
C31.32162.62093.9425
C42.62091.32163.9425

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 BLYP/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.072      
2 C 0.072      
3 C -0.072      
4 C -0.072      


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 -21.878 0.000 0.000
y 0.000 -21.878 0.000
z 0.000 0.000 -33.239
Traceless
 xyz
x 5.681 0.000 0.000
y 0.000 5.681 0.000
z 0.000 0.000 -11.361
Polar
3z2-r2-22.723
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 3.359 0.000 0.000
y 0.000 3.359 0.000
z 0.000 0.000 12.784


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

State 2 (1Σ)

Jump to S1C1
Energy calculated at BLYP/6-311G*
 hartrees
Energy at 0K-152.070185
Energy at 298.15K 
HF Energy-152.070185
Nuclear repulsion energy62.756682
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 BLYP/6-311G*
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 2036 2031 0.00 71.66 0.47 0.64
2 Σg 895 893 0.00 73.94 0.36 0.53
3 Σu 1534 1530 319.61 0.00 0.00 0.00
4 Πg 449 447 0.00 5.25 0.75 0.86
4 Πg 146i 146i 0.00 26.51 0.75 0.86
5 Πu 199 199 7.66 0.00 0.00 0.00
5 Πu 98 98 39.16 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2531.7 cm-1
Scaled (by 0.9975) Zero Point Vibrational Energy (zpe) 2525.4 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 BLYP/6-311G*
B
0.16250

See section I.F.4 to change rotational constant units
Geometric Data calculated at BLYP/6-311G*

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 1.974
C4 0.000 0.000 -1.974

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.30311.32282.6259
C21.30312.62591.3228
C31.32282.62593.9487
C42.62591.32283.9487

picture of Carbon tetramer state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.073      
2 C 0.073      
3 C -0.073      
4 C -0.073      


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 -20.115 0.000 0.000
y 0.000 -23.789 0.000
z 0.000 0.000 -33.119
Traceless
 xyz
x 8.339 0.000 0.000
y 0.000 2.828 0.000
z 0.000 0.000 -11.167
Polar
3z2-r2-22.334
x2-y23.674
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.359 0.000 0.000
y 0.000 3.359 0.000
z 0.000 0.000 12.784


<r2> (average value of r2) Å2
<r2> 67.906
(<r2>)1/2 8.241