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

using model chemistry: wB97X-D/6-31G*

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 wB97X-D/6-31G*
 hartrees
Energy at 0K-152.019190
Energy at 298.15K 
HF Energy-152.019190
Nuclear repulsion energy63.321541
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 wB97X-D/6-31G*
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 2189 2076 0.00 55.69 0.50 0.67
2 Σg 959 910 0.00 91.63 0.38 0.55
3 Σu 1632 1548 275.61 0.00 0.00 0.00
4 Πg 416 395 0.00 1.62 0.75 0.86
4 Πg 416 395 0.00 1.62 0.75 0.86
5 Πu 192 182 21.63 0.00 0.00 0.00
5 Πu 192 182 21.63 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2998.3 cm-1
Scaled (by 0.9485) Zero Point Vibrational Energy (zpe) 2843.8 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 wB97X-D/6-31G*
B
0.16543

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-31G*

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 1.957
C4 0.000 0.000 -1.957

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.29181.31082.6026
C21.29182.60261.3108
C31.31082.60263.9134
C42.60261.31083.9134

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 wB97X-D/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.102      
2 C 0.102      
3 C -0.102      
4 C -0.102      


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 -21.256 0.000 0.000
y 0.000 -21.256 0.000
z 0.000 0.000 -32.021
Traceless
 xyz
x 5.383 0.000 0.000
y 0.000 5.383 0.000
z 0.000 0.000 -10.765
Polar
3z2-r2-21.530
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 2.966 0.000 0.000
y 0.000 2.966 0.000
z 0.000 0.000 12.464


<r2> (average value of r2) Å2
<r2> 66.468
(<r2>)1/2 8.153

State 2 (1Σ)

Jump to S1C1
Energy calculated at wB97X-D/6-31G*
 hartrees
Energy at 0K-151.988575
Energy at 298.15K 
HF Energy-151.988575
Nuclear repulsion energy63.236233
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 wB97X-D/6-31G*
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 2192 2080 0.00 53.34 0.39 0.56
2 Σg 958 908 0.00 71.85 0.33 0.49
3 Σu 1635 1551 394.19 0.00 0.00 0.00
4 Πg 483 458 0.00 9.72 0.75 0.86
4 Πg 367 348 0.00 5.85 0.75 0.86
5 Πu 204 193 7.07 0.00 0.00 0.00
5 Πu 189 179 30.48 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 3013.6 cm-1
Scaled (by 0.9485) Zero Point Vibrational Energy (zpe) 2858.4 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 wB97X-D/6-31G*
B
0.16497

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-31G*

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.648
C2 0.000 0.000 -0.648
C3 0.000 0.000 1.959
C4 0.000 0.000 -1.959

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.29551.31142.6069
C21.29552.60691.3114
C31.31142.60693.9183
C42.60691.31143.9183

picture of Carbon tetramer state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.091      
2 C 0.091      
3 C -0.091      
4 C -0.091      


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 -23.094 0.000 0.000
y 0.000 -19.530 0.000
z 0.000 0.000 -31.680
Traceless
 xyz
x 2.511 0.000 0.000
y 0.000 7.857 0.000
z 0.000 0.000 -10.368
Polar
3z2-r2-20.736
x2-y2-3.564
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.574 0.000 0.000
y 0.000 2.932 0.000
z 0.000 0.000 11.971


<r2> (average value of r2) Å2
<r2> 66.563
(<r2>)1/2 8.159