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

using model chemistry: PBE1PBE/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 PBE1PBE/aug-cc-pVDZ
 hartrees
Energy at 0K-151.914074
Energy at 298.15K 
HF Energy-151.914074
Nuclear repulsion energy63.009490
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 PBE1PBE/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 2157 2074 0.00 62.94 0.51 0.68
2 Σg 947 910 0.00 107.04 0.30 0.47
3 Σu 1603 1541 329.47 0.00 0.00 0.00
4 Πg 233 224 0.00 17.06 0.75 0.86
4 Πg 233 224 0.00 17.06 0.75 0.86
5 Πu 153 147 24.50 0.00 0.00 0.00
5 Πu 153 147 24.50 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2739.1 cm-1
Scaled (by 0.9616) Zero Point Vibrational Energy (zpe) 2633.9 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 PBE1PBE/aug-cc-pVDZ
B
0.16383

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/aug-cc-pVDZ

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 1.967
C4 0.000 0.000 -1.967

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.29601.31862.6146
C21.29602.61461.3186
C31.31862.61463.9332
C42.61461.31863.9332

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 PBE1PBE/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.755      
2 C 0.755      
3 C -0.755      
4 C -0.755      


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 -22.221 0.000 0.000
y 0.000 -22.221 0.000
z 0.000 0.000 -33.188
Traceless
 xyz
x 5.484 0.000 0.000
y 0.000 5.484 0.000
z 0.000 0.000 -10.967
Polar
3z2-r2-21.934
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 4.707 0.000 0.000
y 0.000 4.707 0.000
z 0.000 0.000 13.951


<r2> (average value of r2) Å2
<r2> 67.612
(<r2>)1/2 8.223

State 2 (1Σ)

Jump to S1C1
Energy calculated at PBE1PBE/aug-cc-pVDZ
 hartrees
Energy at 0K-151.880799
Energy at 298.15K 
HF Energy-151.880799
Nuclear repulsion energy62.913479
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 PBE1PBE/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 2157 2074 0.00 91.30 0.34 0.51
2 Σg 943 907 0.00 90.12 0.24 0.38
3 Σu 1612 1550 427.48 0.00 0.00 0.00
4 Πg 397 382 0.00 0.20 0.75 0.86
4 Πg 104i 100i 0.00 15.08 0.75 0.86
5 Πu 193 186 6.73 0.00 0.00 0.00
5 Πu 118 113 35.36 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2658.7 cm-1
Scaled (by 0.9616) Zero Point Vibrational Energy (zpe) 2556.6 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 PBE1PBE/aug-cc-pVDZ
B
0.16330

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/aug-cc-pVDZ

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.650
C2 0.000 0.000 -0.650
C3 0.000 0.000 1.969
C4 0.000 0.000 -1.969

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.30071.31902.6197
C21.30072.61971.3190
C31.31902.61973.9387
C42.61971.31903.9387

picture of Carbon tetramer state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.727      
2 C 0.727      
3 C -0.727      
4 C -0.727      


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 -24.188 0.000 0.000
y 0.000 -20.474 0.000
z 0.000 0.000 -32.937
Traceless
 xyz
x 2.517 0.000 0.000
y 0.000 8.089 0.000
z 0.000 0.000 -10.607
Polar
3z2-r2-21.213
x2-y2-3.714
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.539 0.000 0.000
y 0.000 4.521 0.000
z 0.000 0.000 13.468


<r2> (average value of r2) Å2
<r2> 67.770
(<r2>)1/2 8.232