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

using model chemistry: B1B95/3-21G

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 B1B95/3-21G
 hartrees
Energy at 0K-151.168464
Energy at 298.15K 
HF Energy-151.168464
Nuclear repulsion energy63.209030
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 B1B95/3-21G
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 2158 2065 0.00 57.16 0.61 0.76
2 Σg 930 890 0.00 81.16 0.43 0.61
3 Σu 1536 1470 244.39 0.00 0.00 0.00
4 Πg 355 339 0.00 4.91 0.75 0.86
4 Πg 355 339 0.00 4.91 0.75 0.86
5 Πu 148 141 14.76 0.00 0.00 0.00
5 Πu 148 141 14.76 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2814.0 cm-1
Scaled (by 0.9567) Zero Point Vibrational Energy (zpe) 2692.2 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 B1B95/3-21G
B
0.16494

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/3-21G

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.641
C2 0.000 0.000 -0.641
C3 0.000 0.000 1.961
C4 0.000 0.000 -1.961

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.28231.32032.6026
C21.28232.60261.3203
C31.32032.60263.9229
C42.60261.32033.9229

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 B1B95/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.139      
2 C -0.139      
3 C 0.139      
4 C 0.139      


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 -21.896 0.000 0.000
y 0.000 -21.896 0.000
z 0.000 0.000 -31.677
Traceless
 xyz
x 4.890 0.000 0.000
y 0.000 4.890 0.000
z 0.000 0.000 -9.781
Polar
3z2-r2-19.562
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 2.614 0.000 0.000
y 0.000 2.614 0.000
z 0.000 0.000 11.926


<r2> (average value of r2) Å2
<r2> 66.814
(<r2>)1/2 8.174

State 2 (1Σ)

Jump to S1C1
Energy calculated at B1B95/3-21G
 hartrees
Energy at 0K-151.139789
Energy at 298.15K 
HF Energy-151.139789
Nuclear repulsion energy63.135254
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 B1B95/3-21G
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 2163 2069 0.00 49.36 0.42 0.59
2 Σg 929 888 0.00 68.43 0.35 0.52
3 Σu 1556 1489 324.35 0.00 0.00 0.00
4 Πg 495 473 0.00 9.98 0.75 0.86
4 Πg 286 273 0.00 8.72 0.75 0.86
5 Πu 174 166 3.02 0.00 0.00 0.00
5 Πu 153 146 21.85 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2877.0 cm-1
Scaled (by 0.9567) Zero Point Vibrational Energy (zpe) 2752.4 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 B1B95/3-21G
B
0.16454

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/3-21G

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 1.963
C4 0.000 0.000 -1.963

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.28651.32022.6067
C21.28652.60671.3202
C31.32022.60673.9269
C42.60671.32023.9269

picture of Carbon tetramer state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B1B95/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.140      
2 C -0.140      
3 C 0.140      
4 C 0.140      


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 -20.060 0.000 0.000
y 0.000 -23.802 0.000
z 0.000 0.000 -31.404
Traceless
 xyz
x 7.543 0.000 0.000
y 0.000 1.929 0.000
z 0.000 0.000 -9.473
Polar
3z2-r2-18.945
x2-y23.743
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.626 0.000 0.000
y 0.000 2.175 0.000
z 0.000 0.000 11.417


<r2> (average value of r2) Å2
<r2> 66.897
(<r2>)1/2 8.179