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

using model chemistry: B2PLYP/STO-3G

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 B2PLYP/STO-3G
 hartrees
Energy at 0K-149.925296
Energy at 298.15K 
HF Energy-149.845221
Nuclear repulsion energy61.860726
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 B2PLYP/STO-3G
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 2089 2089 0.00 20.31 0.59 0.74
2 Σg 941 941 0.00 35.21 0.42 0.59
3 Σu 1512 1512 431.71 0.00 0.00 0.00
4 Πg 282 282 0.00 9.15 0.75 0.86
4 Πg 282 282 0.00 9.15 0.75 0.86
5 Πu 136 136 13.50 0.00 0.00 0.00
5 Πu 136 136 13.50 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2688.7 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 2688.7 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 B2PLYP/STO-3G
B
0.15798

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/STO-3G

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.655
C2 0.000 0.000 -0.655
C3 0.000 0.000 2.004
C4 0.000 0.000 -2.004

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.30991.34932.6592
C21.30992.65921.3493
C31.34932.65924.0085
C42.65921.34934.0085

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 B2PLYP/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.051      
2 C -0.051      
3 C 0.051      
4 C 0.051      


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 -19.078 0.000 0.000
y 0.000 -19.078 0.000
z 0.000 0.000 -28.720
Traceless
 xyz
x 4.821 0.000 0.000
y 0.000 4.821 0.000
z 0.000 0.000 -9.642
Polar
3z2-r2-19.285
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 1.495 0.000 0.000
y 0.000 1.495 0.000
z 0.000 0.000 8.424


<r2> (average value of r2) Å2
<r2> 67.276
(<r2>)1/2 8.202

State 2 (1Σ)

Jump to S1C1
Energy calculated at B2PLYP/STO-3G
 hartrees
Energy at 0K-149.902465
Energy at 298.15K 
HF Energy-149.809859
Nuclear repulsion energy61.702641
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 B2PLYP/STO-3G
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 2080 2080 0.00 8.97 0.36 0.53
2 Σg 928 928 0.00 36.85 0.31 0.47
3 Σu 1549 1549 504.85 0.00 0.75 0.86
4 Πg 504 504 0.00 2.37 0.75 0.86
4 Πg 260 260 0.00 7.45 0.75 0.86
5 Πu 202 202 3.82 0.00 0.00 0.00
5 Πu 124 124 16.58 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2823.3 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 2823.3 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 B2PLYP/STO-3G
B
0.15714

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/STO-3G

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.659
C2 0.000 0.000 -0.659
C3 0.000 0.000 2.009
C4 0.000 0.000 -2.009

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.31781.35002.6678
C21.31782.66781.3500
C31.35002.66784.0178
C42.66781.35004.0178

picture of Carbon tetramer state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.054      
2 C -0.054      
3 C 0.054      
4 C 0.054      


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 -20.482 0.000 0.000
y 0.000 -17.676 0.000
z 0.000 0.000 -28.562
Traceless
 xyz
x 2.637 0.000 0.000
y 0.000 6.846 0.000
z 0.000 0.000 -9.483
Polar
3z2-r2-18.966
x2-y2-2.806
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.130 0.000 0.000
y 0.000 1.547 0.000
z 0.000 0.000 7.980


<r2> (average value of r2) Å2
<r2> 67.528
(<r2>)1/2 8.218