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

using model chemistry: B2PLYP/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 B2PLYP/6-31G
 hartrees
Energy at 0K-151.838666
Energy at 298.15K 
HF Energy-151.734876
Nuclear repulsion energy62.609480
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 B2PLYP/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 2119 2119 0.00 51.55 0.66 0.79
2 Σg 914 914 0.00 67.38 0.45 0.63
3 Σu 1517 1517 269.81 0.00 0.33 0.00
4 Πg 91i 91i 0.00 4.50 0.75 0.86
4 Πg 91i 91i 0.00 4.50 0.75 0.86
5 Πu 125 125 20.20 0.00 0.00 0.00
5 Πu 125 125 20.20 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2308.6 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 2308.6 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 B2PLYP/6-31G
B
0.16180

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/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 1.980
C4 0.000 0.000 -1.980

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.29801.33092.6289
C21.29802.62891.3309
C31.33092.62893.9597
C42.62891.33093.9597

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 B2PLYP/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.145      
2 C -0.145      
3 C 0.145      
4 C 0.145      


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 -21.524 0.000 0.000
y 0.000 -21.524 0.000
z 0.000 0.000 -33.341
Traceless
 xyz
x 5.908 0.000 0.000
y 0.000 5.908 0.000
z 0.000 0.000 -11.817
Polar
3z2-r2-23.634
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 2.926 0.000 0.000
y 0.000 2.926 0.000
z 0.000 0.000 12.554


<r2> (average value of r2) Å2
<r2> 67.997
(<r2>)1/2 8.246

State 2 (1Σ)

Jump to S1C1
Energy calculated at B2PLYP/6-31G
 hartrees
Energy at 0K-151.816620
Energy at 298.15K 
HF Energy-151.702587
Nuclear repulsion energy62.443416
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 B2PLYP/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 2103 2103 0.00 37.06 0.41 0.59
2 Σg 904 904 0.00 67.32 0.34 0.51
3 Σu 1532 1532 325.69 0.00 0.60 0.75
4 Πg 220 220 0.00 8.97 0.75 0.86
4 Πg 15 15 0.00 63.45 0.75 0.86
5 Πu 150 150 29.38 0.00 0.75 0.86
5 Πu 137 137 5.55 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2530.6 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 2530.6 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 B2PLYP/6-31G
B
0.16093

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/6-31G

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.652
C2 0.000 0.000 -0.652
C3 0.000 0.000 1.985
C4 0.000 0.000 -1.985

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.30381.33302.6368
C21.30382.63681.3330
C31.33302.63683.9697
C42.63681.33303.9697

picture of Carbon tetramer state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/6-31G 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 -23.406 0.000 0.000
y 0.000 -19.707 0.000
z 0.000 0.000 -33.201
Traceless
 xyz
x 3.048 0.000 0.000
y 0.000 8.597 0.000
z 0.000 0.000 -11.644
Polar
3z2-r2-23.289
x2-y2-3.699
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.513 0.000 0.000
y 0.000 2.803 0.000
z 0.000 0.000 12.043


<r2> (average value of r2) Å2
<r2> 68.265
(<r2>)1/2 8.262