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

using model chemistry: B3LYP/3-21G

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 B3LYP/3-21G
 hartrees
Energy at 0K-151.240366
Energy at 298.15K 
HF Energy-151.240366
Nuclear repulsion energy63.087042
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 B3LYP/3-21G
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 2130 2056 0.00 57.93 0.67 0.80
2 Σg 922 889 0.00 77.94 0.46 0.63
3 Σu 1523 1470 228.16 0.00 0.00 0.00
4 Πg 320 309 0.00 10.53 0.75 0.86
4 Πg 320 309 0.00 10.53 0.75 0.86
5 Πu 145 140 17.22 0.00 0.00 0.00
5 Πu 145 140 17.22 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2751.9 cm-1
Scaled (by 0.9649) Zero Point Vibrational Energy (zpe) 2655.3 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 B3LYP/3-21G
B
0.16430

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/3-21G

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.643
C2 0.000 0.000 -0.643
C3 0.000 0.000 1.965
C4 0.000 0.000 -1.965

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.28511.32272.6078
C21.28512.60781.3227
C31.32272.60783.9305
C42.60781.32273.9305

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 B3LYP/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.115      
2 C -0.115      
3 C 0.115      
4 C 0.115      


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 -21.837 0.000 0.000
y 0.000 -21.837 0.000
z 0.000 0.000 -32.118
Traceless
 xyz
x 5.141 0.000 0.000
y 0.000 5.141 0.000
z 0.000 0.000 -10.281
Polar
3z2-r2-20.563
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 2.656 0.000 0.000
y 0.000 2.656 0.000
z 0.000 0.000 11.873


<r2> (average value of r2) Å2
<r2> 67.079
(<r2>)1/2 8.190

State 2 (1Σ)

Jump to S1C1
Energy calculated at B3LYP/3-21G
 hartrees
Energy at 0K-151.213246
Energy at 298.15K 
HF Energy-151.213246
Nuclear repulsion energy63.016779
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 B3LYP/3-21G
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 2136 2061 0.00 47.99 0.42 0.59
2 Σg 921 888 0.00 66.37 0.35 0.52
3 Σu 1543 1489 299.18 0.00 0.00 0.00
4 Πg 480 463 0.00 9.66 0.75 0.86
4 Πg 257 248 0.00 9.61 0.75 0.86
5 Πu 173 167 4.06 0.00 0.00 0.00
5 Πu 151 145 24.29 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2830.6 cm-1
Scaled (by 0.9649) Zero Point Vibrational Energy (zpe) 2731.2 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 B3LYP/3-21G
B
0.16392

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/3-21G

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.645
C2 0.000 0.000 -0.645
C3 0.000 0.000 1.967
C4 0.000 0.000 -1.967

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.28921.32252.6117
C21.28922.61171.3225
C31.32252.61173.9342
C42.61171.32253.9342

picture of Carbon tetramer state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.115      
2 C -0.115      
3 C 0.115      
4 C 0.115      


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 -23.721 0.000 0.000
y 0.000 -20.016 0.000
z 0.000 0.000 -31.865
Traceless
 xyz
x 2.219 0.000 0.000
y 0.000 7.777 0.000
z 0.000 0.000 -9.996
Polar
3z2-r2-19.992
x2-y2-3.705
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.174 0.000 0.000
y 0.000 2.634 0.000
z 0.000 0.000 11.374


<r2> (average value of r2) Å2
<r2> 67.161
(<r2>)1/2 8.195