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

using model chemistry: B2PLYP/3-21G*

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/3-21G*
 hartrees
Energy at 0K-151.033118
Energy at 298.15K 
HF Energy-150.930637
Nuclear repulsion energy62.970247
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/3-21G*
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 2120 2120 0.00 48.02 0.68 0.81
2 Σg 912 912 0.00 64.41 0.47 0.64
3 Σu 1498 1498 237.88 0.00 0.00 0.00
4 Πg 229 229 0.00 6.09 0.75 0.86
4 Πg 229 229 0.00 6.09 0.75 0.86
5 Πu 132 132 16.80 0.00 0.00 0.00
5 Πu 132 132 16.80 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2625.4 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 2625.4 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 B2PLYP/3-21G*
B
0.16370

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/3-21G*

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.644
C2 0.000 0.000 -0.644
C3 0.000 0.000 1.969
C4 0.000 0.000 -1.969

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.28721.32532.6125
C21.28722.61251.3253
C31.32532.61253.9378
C42.61251.32533.9378

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/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.162      
2 C -0.162      
3 C 0.162      
4 C 0.162      


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 -21.989 0.000 0.000
y 0.000 -21.989 0.000
z 0.000 0.000 -32.460
Traceless
 xyz
x 5.236 0.000 0.000
y 0.000 5.236 0.000
z 0.000 0.000 -10.471
Polar
3z2-r2-20.942
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 2.674 0.000 0.000
y 0.000 2.674 0.000
z 0.000 0.000 11.967


<r2> (average value of r2) Å2
<r2> 67.404
(<r2>)1/2 8.210

State 2 (1Σ)

Jump to S1C1
Energy calculated at B2PLYP/3-21G*
 hartrees
Energy at 0K-151.010983
Energy at 298.15K 
HF Energy-150.898695
Nuclear repulsion energy62.810439
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/3-21G*
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 2103 2103 0.00 32.11 0.42 0.60
2 Σg 902 902 0.00 62.20 0.34 0.51
3 Σu 1514 1514 291.34 0.00 0.33 0.50
4 Πg 377 377 0.00 8.81 0.75 0.86
4 Πg 198 198 0.00 6.61 0.75 0.86
5 Πu 159 159 3.95 0.00 0.00 0.00
5 Πu 142 142 24.25 0.00 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 2697.4 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 2697.4 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 B2PLYP/3-21G*
B
0.16285

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/3-21G*

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.646
C2 0.000 0.000 -0.646
C3 0.000 0.000 1.974
C4 0.000 0.000 -1.974

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.29291.32722.6201
C21.29292.62011.3272
C31.32722.62013.9473
C42.62011.32723.9473

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/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.158      
2 C -0.158      
3 C 0.158      
4 C 0.158      


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 -23.872 0.000 0.000
y 0.000 -20.156 0.000
z 0.000 0.000 -32.317
Traceless
 xyz
x 2.364 0.000 0.000
y 0.000 7.938 0.000
z 0.000 0.000 -10.303
Polar
3z2-r2-20.606
x2-y2-3.716
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.198 0.000 0.000
y 0.000 2.628 0.000
z 0.000 0.000 11.451


<r2> (average value of r2) Å2
<r2> 67.652
(<r2>)1/2 8.225