return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for C2 (Carbon diatomic)

using model chemistry: PBEPBE/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D*H 1Σg+
2 1 yes D*H 3Πu

State 1 (1Σg+)

Jump to S2C1
Energy calculated at PBEPBE/3-21G
 hartrees
Energy at 0K-75.375113
Energy at 298.15K-75.372086
HF Energy-75.375113
Nuclear repulsion energy15.049772
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 PBEPBE/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 1845 1829 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 922.7 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 914.3 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 PBEPBE/3-21G
B
1.75347

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

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.633
C2 0.000 0.000 -0.633

Atom - Atom Distances (Å)
  C1 C2
C11.2658
C21.2658

picture of Carbon diatomic state 1 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.000      
2 C 0.000      


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 -12.023 0.000 0.000
y 0.000 -12.023 0.000
z 0.000 0.000 -8.986
Traceless
 xyz
x -1.518 0.000 0.000
y 0.000 -1.518 0.000
z 0.000 0.000 3.037
Polar
3z2-r26.073
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 2.758 0.000 0.000
y 0.000 2.758 0.000
z 0.000 0.000 4.009


<r2> (average value of r2) Å2
<r2> 11.684
(<r2>)1/2 3.418

State 2 (3Πu)

Jump to S1C1
Energy calculated at PBEPBE/3-21G
 hartrees
Energy at 0K-75.392842
Energy at 298.15K-75.389811
HF Energy-75.392842
Nuclear repulsion energy14.274093
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 PBEPBE/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 1577 1563 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 788.5 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 781.3 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 PBEPBE/3-21G
B
1.57738

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

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.667
C2 0.000 0.000 -0.667

Atom - Atom Distances (Å)
  C1 C2
C11.3346
C21.3346

picture of Carbon diatomic state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.000      
2 C 0.000      


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 -10.462 0.000 0.000
y 0.000 -12.361 0.000
z 0.000 0.000 -12.335
Traceless
 xyz
x 1.886 0.000 0.000
y 0.000 -0.962 0.000
z 0.000 0.000 -0.924
Polar
3z2-r2-1.847
x2-y21.899
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.378 0.000 0.000
y 0.000 2.055 0.000
z 0.000 0.000 4.538


<r2> (average value of r2) Å2
<r2> 12.663
(<r2>)1/2 3.559