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

using model chemistry: B3PW91/6-31G*

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 B3PW91/6-31G*
 hartrees
Energy at 0K-152.018343
Energy at 298.15K 
HF Energy-152.018343
Nuclear repulsion energy63.125828
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 B3PW91/6-31G*
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 2140 2047 0.00      
2 Σg 945 904 0.00      
3 Σu 1596 1527 266.48      
4 Πg 364 348 0.00      
4 Πg 364 348 0.00      
5 Πu 174 167 24.49      
5 Πu 174 167 24.49      

Unscaled Zero Point Vibrational Energy (zpe) 2878.1 cm-1
Scaled (by 0.9567) Zero Point Vibrational Energy (zpe) 2753.4 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 B3PW91/6-31G*
B
0.16443

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31G*

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.647
C2 0.000 0.000 -0.647
C3 0.000 0.000 1.963
C4 0.000 0.000 -1.963

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.29321.31642.6096
C21.29322.60961.3164
C31.31642.60963.9261
C42.60961.31643.9261

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 B3PW91/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.109      
2 C 0.109      
3 C -0.109      
4 C -0.109      


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 -21.227 0.000 0.000
y 0.000 -21.227 0.000
z 0.000 0.000 -32.154
Traceless
 xyz
x 5.463 0.000 0.000
y 0.000 5.463 0.000
z 0.000 0.000 -10.927
Polar
3z2-r2-21.854
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 2.972 0.000 0.000
y 0.000 2.972 0.000
z 0.000 0.000 12.411


<r2> (average value of r2) Å2
<r2> 66.792
(<r2>)1/2 8.173

State 2 (1Σ)

Jump to S1C1
Energy calculated at B3PW91/6-31G*
 hartrees
Energy at 0K-151.986395
Energy at 298.15K 
HF Energy-151.986395
Nuclear repulsion energy63.036800
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 B3PW91/6-31G*
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 2145 2052 0.00      
2 Σg 942 901 0.00      
3 Σu 1611 1542 355.73      
4 Πg 486 465 0.00      
4 Πg 293 280 0.00      
5 Πu 208 199 7.97      
5 Πu 156 150 34.01      

Unscaled Zero Point Vibrational Energy (zpe) 2920.3 cm-1
Scaled (by 0.9567) Zero Point Vibrational Energy (zpe) 2793.8 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 B3PW91/6-31G*
B
0.16394

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31G*

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.649
C2 0.000 0.000 -0.649
C3 0.000 0.000 1.965
C4 0.000 0.000 -1.965

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.29811.31642.6146
C21.29812.61461.3164
C31.31642.61463.9310
C42.61461.31643.9310

picture of Carbon tetramer state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.108      
2 C 0.108      
3 C -0.108      
4 C -0.108      


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 -23.059 0.000 0.000
y 0.000 -19.508 0.000
z 0.000 0.000 -31.881
Traceless
 xyz
x 2.635 0.000 0.000
y 0.000 7.961 0.000
z 0.000 0.000 -10.597
Polar
3z2-r2-21.194
x2-y2-3.551
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.596 0.000 0.000
y 0.000 2.914 0.000
z 0.000 0.000 11.943


<r2> (average value of r2) Å2
<r2> 66.913
(<r2>)1/2 8.180