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

using model chemistry: B3LYP/6-311+G(3df,2p)

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/6-311+G(3df,2p)
 hartrees
Energy at 0K-152.141881
Energy at 298.15K 
HF Energy-152.141881
Nuclear repulsion energy63.618083
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/6-311+G(3df,2p)
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 2124 2054 0.00 68.51 0.54 0.70
2 Σg 942 911 0.00 98.20 0.32 0.48
3 Σu 1597 1544 321.16 0.00 0.00 0.00
4 Πg 388 376 0.00 17.63 0.75 0.86
4 Πg 388 376 0.00 17.63 0.75 0.86
5 Πu 177 171 26.33 0.00 0.00 0.00
5 Πu 177 171 26.33 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2896.3 cm-1
Scaled (by 0.967) Zero Point Vibrational Energy (zpe) 2800.8 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/6-311+G(3df,2p)
B
0.16699

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-311+G(3df,2p)

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.643
C2 0.000 0.000 -0.643
C3 0.000 0.000 1.948
C4 0.000 0.000 -1.948

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.28581.30472.5905
C21.28582.59051.3047
C31.30472.59053.8951
C42.59051.30473.8951

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/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.514      
2 C 0.514      
3 C -0.514      
4 C -0.514      


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 -22.211 0.000 0.000
y 0.000 -22.211 0.000
z 0.000 0.000 -33.599
Traceless
 xyz
x 5.694 0.000 0.000
y 0.000 5.694 0.000
z 0.000 0.000 -11.388
Polar
3z2-r2-22.775
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 4.731 0.000 0.000
y 0.000 4.731 0.000
z 0.000 0.000 13.642


<r2> (average value of r2) Å2
<r2> 66.720
(<r2>)1/2 8.168

State 2 (1Σ)

Jump to S1C1
Energy calculated at B3LYP/6-311+G(3df,2p)
 hartrees
Energy at 0K-152.113442
Energy at 298.15K 
HF Energy-152.113442
Nuclear repulsion energy63.519768
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/6-311+G(3df,2p)
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 2126 2056 0.00 95.67 0.37 0.54
2 Σg 938 907 0.00 86.04 0.25 0.40
3 Σu 1602 1549 390.63 0.00 0.00 0.00
4 Πg 485 469 0.00 0.25 0.75 0.86
4 Πg 297 288 0.00 18.04 0.75 0.86
5 Πu 210 203 8.02 0.00 0.00 0.00
5 Πu 150 145 39.10 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2904.3 cm-1
Scaled (by 0.967) Zero Point Vibrational Energy (zpe) 2808.4 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/6-311+G(3df,2p)
B
0.16645

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-311+G(3df,2p)

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.645
C2 0.000 0.000 -0.645
C3 0.000 0.000 1.950
C4 0.000 0.000 -1.950

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.28951.30572.5951
C21.28952.59511.3057
C31.30572.59513.9008
C42.59511.30573.9008

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/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.509      
2 C 0.509      
3 C -0.509      
4 C -0.509      


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 -24.130 0.000 0.000
y 0.000 -20.510 0.000
z 0.000 0.000 -33.426
Traceless
 xyz
x 2.838 0.000 0.000
y 0.000 8.268 0.000
z 0.000 0.000 -11.106
Polar
3z2-r2-22.213
x2-y2-3.620
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.532 0.000 0.000
y 0.000 4.574 0.000
z 0.000 0.000 13.282


<r2> (average value of r2) Å2
<r2> 66.890
(<r2>)1/2 8.179