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

using model chemistry: PBEPBE/daug-cc-pVDZ

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 PBEPBE/daug-cc-pVDZ
 hartrees
Energy at 0K-151.917747
Energy at 298.15K 
HF Energy-151.917747
Nuclear repulsion energy62.428712
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 PBEPBE/daug-cc-pVDZ
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 2052 2052 0.00 63.22 0.62 0.77
2 Σg 904 904 0.00 92.16 0.34 0.51
3 Σu 1530 1530 325.33 0.00 0.00 0.00
4 Πg 191i 191i 0.00 47.12 0.75 0.86
4 Πg 191i 191i 0.00 47.12 0.75 0.86
5 Πu 113 113 26.34 0.00 0.00 0.00
5 Πu 113 113 26.34 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2164.6 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 2164.6 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 PBEPBE/daug-cc-pVDZ
B
0.16083

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/daug-cc-pVDZ

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.654
C2 0.000 0.000 -0.654
C3 0.000 0.000 1.985
C4 0.000 0.000 -1.985

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.30731.33132.6387
C21.30732.63871.3313
C31.33132.63873.9700
C42.63871.33133.9700

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 PBEPBE/daug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.917      
2 C 0.917      
3 C -0.917      
4 C -0.917      


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 -22.262 0.000 0.000
y 0.000 -22.262 0.000
z 0.000 0.000 -33.558
Traceless
 xyz
x 5.648 0.000 0.000
y 0.000 5.648 0.000
z 0.000 0.000 -11.296
Polar
3z2-r2-22.592
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 4.886 0.000 0.000
y 0.000 4.886 0.000
z 0.000 0.000 14.019


<r2> (average value of r2) Å2
<r2> 68.666
(<r2>)1/2 8.286

State 2 (1Σ)

Jump to S1C1
Energy calculated at PBEPBE/daug-cc-pVDZ
 hartrees
Energy at 0K-151.887739
Energy at 298.15K 
HF Energy-151.887739
Nuclear repulsion energy62.318602
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 PBEPBE/daug-cc-pVDZ
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 2055 2055 0.00 97.30 0.37 0.54
2 Σg 899 899 0.00 88.31 0.26 0.41
3 Σu 1542 1542 375.76 0.00 0.00 0.00
4 Πg 358 358 0.00 0.07 0.75 0.86
4 Πg 373i 373i 0.00 34.98 0.75 0.86
5 Πu 182 182 7.29 0.00 0.00 0.00
5 Πu 19i 19i 39.27 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2322.1 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 2322.1 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 PBEPBE/daug-cc-pVDZ
B
0.16024

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/daug-cc-pVDZ

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 1.988
C4 0.000 0.000 -1.988

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.31191.33232.6442
C21.31192.64421.3323
C31.33232.64423.9765
C42.64421.33233.9765

picture of Carbon tetramer state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/daug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.902      
2 C 0.902      
3 C -0.902      
4 C -0.902      


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 -24.201 0.000 0.000
y 0.000 -20.531 0.000
z 0.000 0.000 -33.437
Traceless
 xyz
x 2.783 0.000 0.000
y 0.000 8.288 0.000
z 0.000 0.000 -11.071
Polar
3z2-r2-22.142
x2-y2-3.670
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.886 0.000 0.000
y 0.000 4.886 0.000
z 0.000 0.000 14.019


<r2> (average value of r2) Å2
<r2> 68.876
(<r2>)1/2 8.299