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

using model chemistry: B3LYP/LANL2DZ

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 B3LYP/LANL2DZ
 hartrees
Energy at 0K-152.058696
Energy at 298.15K 
HF Energy-152.058696
Nuclear repulsion energy62.167178
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 B3LYP/LANL2DZ
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 2088 2007 0.00 87.56 0.62 0.76
2 Σg 903 868 0.00 107.91 0.46 0.63
3 Σu 1505 1447 298.92 0.00 0.00 0.00
4 Πg 390 374 0.00 15.26 0.75 0.86
4 Πg 390 374 0.00 15.26 0.75 0.86
5 Πu 187 179 19.09 0.00 0.00 0.00
5 Πu 187 179 19.09 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2824.0 cm-1
Scaled (by 0.9612) Zero Point Vibrational Energy (zpe) 2714.4 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 B3LYP/LANL2DZ
B
0.15954

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/LANL2DZ

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.653
C2 0.000 0.000 -0.653
C3 0.000 0.000 1.994
C4 0.000 0.000 -1.994

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.30571.34132.6470
C21.30572.64701.3413
C31.34132.64703.9883
C42.64701.34133.9883

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 B3LYP/LANL2DZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.049      
2 C -0.049      
3 C 0.049      
4 C 0.049      


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 -21.993 0.000 0.000
y 0.000 -21.993 0.000
z 0.000 0.000 -34.128
Traceless
 xyz
x 6.067 0.000 0.000
y 0.000 6.067 0.000
z 0.000 0.000 -12.135
Polar
3z2-r2-24.269
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 3.432 0.000 0.000
y 0.000 3.432 0.000
z 0.000 0.000 13.512


<r2> (average value of r2) Å2
<r2> 69.096
(<r2>)1/2 8.312

State 2 (1Σ)

Jump to S1C1
Energy calculated at B3LYP/LANL2DZ
 hartrees
Energy at 0K-152.031835
Energy at 298.15K 
HF Energy-152.031835
Nuclear repulsion energy62.090573
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 B3LYP/LANL2DZ
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 2095 2014 0.00 87.88 0.39 0.56
2 Σg 902 867 0.00 91.77 0.35 0.51
3 Σu 1521 1462 379.17 0.00 0.00 0.00
4 Πg 506 486 0.00 6.63 0.75 0.86
4 Πg 343 330 0.00 10.59 0.75 0.86
5 Πu 224 215 2.94 0.00 0.00 0.00
5 Πu 168 162 29.43 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2879.5 cm-1
Scaled (by 0.9612) Zero Point Vibrational Energy (zpe) 2767.8 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 B3LYP/LANL2DZ
B
0.15913

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/LANL2DZ

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 1.996
C4 0.000 0.000 -1.996

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.30981.34142.6512
C21.30982.65121.3414
C31.34142.65123.9926
C42.65121.34143.9926

picture of Carbon tetramer state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/LANL2DZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.050      
2 C -0.050      
3 C 0.050      
4 C 0.050      


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 -23.986 0.000 0.000
y 0.000 -20.150 0.000
z 0.000 0.000 -33.855
Traceless
 xyz
x 3.016 0.000 0.000
y 0.000 8.771 0.000
z 0.000 0.000 -11.787
Polar
3z2-r2-23.574
x2-y2-3.836
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.076 0.000 0.000
y 0.000 3.142 0.000
z 0.000 0.000 12.941


<r2> (average value of r2) Å2
<r2> 69.207
(<r2>)1/2 8.319