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

using model chemistry: PBEPBEultrafine/aug-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 PBEPBEultrafine/aug-cc-pVDZ
 hartrees
Energy at 0K-151.917457
Energy at 298.15K 
HF Energy-151.917457
Nuclear repulsion energy62.422246
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 PBEPBEultrafine/aug-cc-pVDZ
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 2054 2042 0.00 63.89 0.65 0.78
2 Σg 904 898 0.00 91.28 0.36 0.53
3 Σu 1530 1520 325.07 0.00 0.00 0.00
4 Πg 185i 184i 0.00 47.66 0.75 0.86
4 Πg 185i 184i 0.00 47.66 0.75 0.86
5 Πu 114 113 26.47 0.00 0.00 0.00
5 Πu 114 113 26.47 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2172.6 cm-1
Scaled (by 0.9939) Zero Point Vibrational Energy (zpe) 2159.3 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 PBEPBEultrafine/aug-cc-pVDZ
B
0.16079

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/aug-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
C11.30761.33142.6390
C21.30762.63901.3314
C31.33142.63903.9704
C42.63901.33143.9704

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 PBEPBEultrafine/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.795      
2 C 0.795      
3 C -0.795      
4 C -0.795      


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 -22.267 0.000 0.000
y 0.000 -22.267 0.000
z 0.000 0.000 -33.554
Traceless
 xyz
x 5.643 0.000 0.000
y 0.000 5.643 0.000
z 0.000 0.000 -11.287
Polar
3z2-r2-22.574
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 4.805 0.000 0.000
y 0.000 4.805 0.000
z 0.000 0.000 14.010


<r2> (average value of r2) Å2
<r2> 68.678
(<r2>)1/2 8.287

State 2 (1Σ)

Jump to S1C1
Energy calculated at PBEPBEultrafine/aug-cc-pVDZ
 hartrees
Energy at 0K-151.887482
Energy at 298.15K 
HF Energy-151.887482
Nuclear repulsion energy62.311997
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 PBEPBEultrafine/aug-cc-pVDZ
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 2057 2045 0.00 95.91 0.40 0.57
2 Σg 899 894 0.00 86.99 0.27 0.42
3 Σu 1542 1533 375.90 0.00 0.00 0.00
4 Πg 362 360 0.00 0.02 0.75 0.86
4 Πg 367i 364i 0.00 35.31 0.75 0.86
5 Πu 182 181 7.27 0.00 0.00 0.00
5 Πu 6i 6i 39.39 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2335.1 cm-1
Scaled (by 0.9939) Zero Point Vibrational Energy (zpe) 2320.9 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 PBEPBEultrafine/aug-cc-pVDZ
B
0.16020

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/aug-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
C11.31211.33242.6445
C21.31212.64451.3324
C31.33242.64453.9769
C42.64451.33243.9769

picture of Carbon tetramer state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.769      
2 C 0.769      
3 C -0.769      
4 C -0.769      


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 -20.533 0.000 0.000
y 0.000 -24.205 0.000
z 0.000 0.000 -33.434
Traceless
 xyz
x 8.286 0.000 0.000
y 0.000 2.779 0.000
z 0.000 0.000 -11.065
Polar
3z2-r2-22.130
x2-y23.672
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.805 0.000 0.000
y 0.000 4.805 0.000
z 0.000 0.000 14.010


<r2> (average value of r2) Å2
<r2> 68.888
(<r2>)1/2 8.300