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

using model chemistry: B2PLYP/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 B2PLYP/6-31G**
 hartrees
Energy at 0K-151.929477
Energy at 298.15K 
HF Energy-151.784196
Nuclear repulsion energy63.119393
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/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 2135 2135 0.00 44.51 0.55 0.71
2 Σg 942 942 0.00 65.06 0.39 0.56
3 Σu 1593 1593 284.80 0.00 0.33 0.50
4 Πg 381 381 0.00 1.73 0.75 0.86
4 Πg 381 381 0.00 1.73 0.75 0.86
5 Πu 181 181 23.03 0.00 0.75 0.86
5 Πu 181 181 23.03 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2896.2 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 2896.2 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/6-31G**
B
0.16438

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/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 1.963
C4 0.000 0.000 -1.963

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.29581.31512.6109
C21.29582.61091.3151
C31.31512.61093.9260
C42.61091.31513.9260

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/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.075      
2 C 0.075      
3 C -0.075      
4 C -0.075      


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 -21.319 0.000 0.000
y 0.000 -21.319 0.000
z 0.000 0.000 -32.444
Traceless
 xyz
x 5.563 0.000 0.000
y 0.000 5.563 0.000
z 0.000 0.000 -11.125
Polar
3z2-r2-22.251
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 2.893 0.000 0.000
y 0.000 2.893 0.000
z 0.000 0.000 12.204


<r2> (average value of r2) Å2
<r2> 66.908
(<r2>)1/2 8.180

State 2 (1Σ)

Jump to S1C1
Energy calculated at B2PLYP/6-31G**
 hartrees
Energy at 0K-151.905848
Energy at 298.15K 
HF Energy-151.749142
Nuclear repulsion energy62.932146
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/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 2115 2115 0.00 44.88 0.40 0.57
2 Σg 930 930 0.00 63.45 0.33 0.49
3 Σu 1599 1599 332.47 0.00 0.33 0.50
4 Πg 453 453 0.00 7.39 0.75 0.86
4 Πg 338 338 0.00 4.75 0.75 0.86
5 Πu 207 207 8.28 0.00 0.00 0.00
5 Πu 167 167 34.50 0.00 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 2904.3 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 2904.3 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/6-31G**
B
0.16339

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/6-31G**

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.651
C2 0.000 0.000 -0.651
C3 0.000 0.000 1.969
C4 0.000 0.000 -1.969

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.30181.31772.6195
C21.30182.61951.3177
C31.31772.61953.9372
C42.61951.31773.9372

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/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.076      
2 C 0.076      
3 C -0.076      
4 C -0.076      


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 -23.134 0.000 0.000
y 0.000 -19.580 0.000
z 0.000 0.000 -32.383
Traceless
 xyz
x 2.848 0.000 0.000
y 0.000 8.178 0.000
z 0.000 0.000 -11.026
Polar
3z2-r2-22.053
x2-y2-3.554
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.583 0.000 0.000
y 0.000 2.875 0.000
z 0.000 0.000 11.857


<r2> (average value of r2) Å2
<r2> 67.223
(<r2>)1/2 8.199