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 C4 (Carbon tetramer)

using model chemistry: BLYP/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 BLYP/3-21G*
 hartrees
Energy at 0K-151.205608
Energy at 298.15K 
HF Energy-151.205608
Nuclear repulsion energy62.458690
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 BLYP/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 2026 2012 0.00 56.16 0.74 0.85
2 Σg 878 873 0.00 70.91 0.52 0.69
3 Σu 1449 1440 221.37 0.00 0.00 0.00
4 Πg 101i 101i 0.00 43.40 0.75 0.86
4 Πg 101i 101i 0.00 43.40 0.75 0.86
5 Πu 104 104 19.06 0.00 0.00 0.00
5 Πu 104 104 19.06 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2179.6 cm-1
Scaled (by 0.9935) Zero Point Vibrational Energy (zpe) 2165.4 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 BLYP/3-21G*
B
0.16106

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

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.648
C2 0.000 0.000 -0.648
C3 0.000 0.000 1.985
C4 0.000 0.000 -1.985

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.29671.33682.6335
C21.29672.63351.3368
C31.33682.63353.9703
C42.63351.33683.9703

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 BLYP/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.070      
2 C -0.070      
3 C 0.070      
4 C 0.070      


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 -21.794 0.000 0.000
y 0.000 -21.794 0.000
z 0.000 0.000 -32.107
Traceless
 xyz
x 5.157 0.000 0.000
y 0.000 5.157 0.000
z 0.000 0.000 -10.313
Polar
3z2-r2-20.626
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 2.649 0.000 0.000
y 0.000 2.649 0.000
z 0.000 0.000 11.803


<r2> (average value of r2) Å2
<r2> 68.094
(<r2>)1/2 8.252

State 2 (1Σ)

Jump to S1C1
Energy calculated at BLYP/3-21G*
 hartrees
Energy at 0K-151.179710
Energy at 298.15K 
HF Energy-151.179710
Nuclear repulsion energy62.377309
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 BLYP/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 2032 2019 0.00 46.35 0.45 0.63
2 Σg 876 870 0.00 65.12 0.36 0.53
3 Σu 1471 1462 271.91 0.00 0.00 0.00
4 Πg 458 455 0.00 7.85 0.75 0.86
4 Πg 256i 254i 0.00 19.17 0.75 0.86
5 Πu 167 166 4.62 0.00 0.00 0.00
5 Πu 90 89 26.35 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2418.8 cm-1
Scaled (by 0.9935) Zero Point Vibrational Energy (zpe) 2403.0 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 BLYP/3-21G*
B
0.16062

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

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.651
C2 0.000 0.000 -0.651
C3 0.000 0.000 1.987
C4 0.000 0.000 -1.987

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.30101.33692.6380
C21.30102.63801.3369
C31.33692.63803.9749
C42.63801.33693.9749

picture of Carbon tetramer state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.068      
2 C -0.068      
3 C 0.068      
4 C 0.068      


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 -19.988 0.000 0.000
y 0.000 -23.667 0.000
z 0.000 0.000 -31.929
Traceless
 xyz
x 7.810 0.000 0.000
y 0.000 2.292 0.000
z 0.000 0.000 -10.102
Polar
3z2-r2-20.204
x2-y23.679
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.649 0.000 0.000
y 0.000 2.649 0.000
z 0.000 0.000 11.803


<r2> (average value of r2) Å2
<r2> 68.213
(<r2>)1/2 8.259