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

using model chemistry: B3LYP/CEP-121G

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/CEP-121G
 hartrees
Energy at 0K-22.234219
Energy at 298.15K 
HF Energy-22.234219
Nuclear repulsion energy27.584950
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/CEP-121G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 Σg 2053 2001 0.00 92.12 0.57 0.72
2 Σg 882 859 0.00 112.64 0.41 0.58
3 Σu 1466 1429 304.27 0.00 0.00 0.00
4 Πg 569 555 0.00 4.74 0.75 0.86
4 Πg 569 555 0.00 4.74 0.75 0.86
5 Πu 227 221 19.44 0.00 0.00 0.00
5 Πu 227 221 19.44 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2996.1 cm-1
Scaled (by 0.9745) Zero Point Vibrational Energy (zpe) 2919.7 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 B3LYP/CEP-121G
B
0.15903

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-121G

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 1.997
C4 0.000 0.000 -1.997

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.30681.34412.6509
C21.30682.65091.3441
C31.34412.65093.9950
C42.65091.34413.9950

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/CEP-121G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.374      
2 C 0.374      
3 C -0.374      
4 C -0.374      


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 -21.983 0.000 0.000
y 0.000 -21.983 0.000
z 0.000 0.000 -34.138
Traceless
 xyz
x 6.077 0.000 0.000
y 0.000 6.077 0.000
z 0.000 0.000 -12.154
Polar
3z2-r2-24.309
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 3.576 0.000 0.000
y 0.000 3.576 0.000
z 0.000 0.000 14.158


<r2> (average value of r2) Å2
<r2> 51.596
(<r2>)1/2 7.183

State 2 (1Σ)

Jump to S1C1
Energy calculated at B3LYP/CEP-121G
 hartrees
Energy at 0K-22.207222
Energy at 298.15K 
HF Energy-22.207222
Nuclear repulsion energy27.552408
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/CEP-121G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 Σg 2060 2008 0.00 90.58 0.39 0.56
2 Σg 881 859 0.00 93.42 0.32 0.48
3 Σu 1486 1448 394.54 0.00 0.00 0.00
4 Πg 627 611 0.00 11.36 0.75 0.86
4 Πg 566 552 0.00 3.60 0.75 0.86
5 Πu 238 232 29.42 0.00 0.00 0.00
5 Πu 236 230 3.86 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 3047.5 cm-1
Scaled (by 0.9745) Zero Point Vibrational Energy (zpe) 2969.8 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/CEP-121G
B
0.15863

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-121G

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.656
C2 0.000 0.000 -0.656
C3 0.000 0.000 2.000
C4 0.000 0.000 -2.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.31121.34392.6551
C21.31122.65511.3439
C31.34392.65513.9990
C42.65511.34393.9990

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/CEP-121G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.380      
2 C 0.380      
3 C -0.380      
4 C -0.380      


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 -20.116 0.000 0.000
y 0.000 -24.021 0.000
z 0.000 0.000 -33.825
Traceless
 xyz
x 8.807 0.000 0.000
y 0.000 2.950 0.000
z 0.000 0.000 -11.757
Polar
3z2-r2-23.514
x2-y23.905
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.303 0.000 0.000
y 0.000 3.203 0.000
z 0.000 0.000 13.485


<r2> (average value of r2) Å2
<r2> 51.655
(<r2>)1/2 7.187