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

using model chemistry: BLYP/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 BLYP/6-31G*
 hartrees
Energy at 0K-152.057905
Energy at 298.15K 
HF Energy-152.057905
Nuclear repulsion energy62.585125
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/6-31G*
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 2037 2021 0.00 50.26 0.66 0.79
2 Σg 903 895 0.00 72.48 0.44 0.61
3 Σu 1528 1516 251.31 0.00 0.00 0.00
4 Πg 310 307 0.00 19.01 0.75 0.86
4 Πg 310 307 0.00 19.01 0.75 0.86
5 Πu 164 163 26.20 0.00 0.00 0.00
5 Πu 164 163 26.20 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2708.0 cm-1
Scaled (by 0.9919) Zero Point Vibrational Energy (zpe) 2686.1 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 BLYP/6-31G*
B
0.16163

See section I.F.4 to change rotational constant units
Geometric Data calculated at BLYP/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 1.980
C4 0.000 0.000 -1.980

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.30481.32752.6324
C21.30482.63241.3275
C31.32752.63243.9599
C42.63241.32753.9599

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/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.164      
2 C 0.164      
3 C -0.164      
4 C -0.164      


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 -21.153 0.000 0.000
y 0.000 -21.153 0.000
z 0.000 0.000 -32.479
Traceless
 xyz
x 5.663 0.000 0.000
y 0.000 5.663 0.000
z 0.000 0.000 -11.326
Polar
3z2-r2-22.651
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 2.924 0.000 0.000
y 0.000 2.924 0.000
z 0.000 0.000 12.213


<r2> (average value of r2) Å2
<r2> 67.720
(<r2>)1/2 8.229

State 2 (1Σ)

Jump to S1C1
Energy calculated at BLYP/6-31G*
 hartrees
Energy at 0K-152.030777
Energy at 298.15K 
HF Energy-152.030777
Nuclear repulsion energy62.485819
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/6-31G*
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 2044 2027 0.00 56.35 0.44 0.61
2 Σg 899 892 0.00 66.26 0.35 0.52
3 Σu 1541 1529 301.94 0.00 0.00 0.00
4 Πg 496 492 0.00 7.04 0.75 0.86
4 Πg 149 148 0.00 17.10 0.75 0.86
5 Πu 211 209 9.29 0.00 0.00 0.00
5 Πu 136 135 37.42 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2737.7 cm-1
Scaled (by 0.9919) Zero Point Vibrational Energy (zpe) 2715.5 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/6-31G*
B
0.16110

See section I.F.4 to change rotational constant units
Geometric Data calculated at BLYP/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 1.983
C4 0.000 0.000 -1.983

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.30891.32852.6373
C21.30892.63731.3285
C31.32852.63733.9658
C42.63731.32853.9658

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/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.164      
2 C 0.164      
3 C -0.164      
4 C -0.164      


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 -19.447 0.000 0.000
y 0.000 -22.958 0.000
z 0.000 0.000 -32.327
Traceless
 xyz
x 8.196 0.000 0.000
y 0.000 2.928 0.000
z 0.000 0.000 -11.124
Polar
3z2-r2-22.249
x2-y23.512
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.924 0.000 0.000
y 0.000 2.924 0.000
z 0.000 0.000 12.213


<r2> (average value of r2) Å2
<r2> 67.880
(<r2>)1/2 8.239