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All results from a given calculation for C3 (carbon trimer)

using model chemistry: B3LYP/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D*H 1Σg
1 2 no C2V 1A1

Conformer 1 (D*H)

Jump to S1C2
Energy calculated at B3LYP/3-21G*
 hartrees
Energy at 0K-113.410941
Energy at 298.15K 
HF Energy-113.410941
Nuclear repulsion energy36.706209
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 B3LYP/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 1222 1176 0.00      
2 Σu 2155 2073 680.56      
3 Πu 164 158 4.93      
3 Πu 164 158 4.93      

Unscaled Zero Point Vibrational Energy (zpe) 1852.5 cm-1
Scaled (by 0.962) Zero Point Vibrational Energy (zpe) 1782.1 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 B3LYP/3-21G*
B
0.41723

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/3-21G*

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.000
C2 0.000 0.000 1.297
C3 0.000 0.000 -1.297

Atom - Atom Distances (Å)
  C1 C2 C3
C11.29751.2975
C21.29752.5950
C31.29752.5950

picture of carbon trimer state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C2 C1 C3 180.000
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.229      
2 C 0.114      
3 C 0.114      


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 -16.202 0.000 0.000
y 0.000 -16.202 0.000
z 0.000 0.000 -21.918
Traceless
 xyz
x 2.858 0.000 0.000
y 0.000 2.858 0.000
z 0.000 0.000 -5.715
Polar
3z2-r2-11.431
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 2.196 0.000 0.000
y 0.000 2.196 0.000
z 0.000 0.000 6.208


<r2> (average value of r2) Å2
<r2> 31.511
(<r2>)1/2 5.613

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at B3LYP/3-21G*
 hartrees
Energy at 0K-113.410941
Energy at 298.15K 
HF Energy-113.410941
Nuclear repulsion energy36.705931
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 B3LYP/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 A1 1222 1176 0.00      
2 A1 164 158 4.92      
3 B2 2155 2073 680.56      

Unscaled Zero Point Vibrational Energy (zpe) 1770.6 cm-1
Scaled (by 0.962) Zero Point Vibrational Energy (zpe) 1703.4 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 B3LYP/3-21G*
B
0.41722

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/3-21G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.000
C2 0.000 1.298 -0.000
C3 0.000 -1.298 -0.000

Atom - Atom Distances (Å)
  C1 C2 C3
C11.29751.2975
C21.29752.5950
C31.29752.5950

picture of carbon trimer state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C2 C1 C3 179.984
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.229      
2 C 0.114      
3 C 0.114      


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 -16.202 0.000 0.000
y 0.000 -21.918 0.000
z 0.000 0.000 -16.202
Traceless
 xyz
x 2.858 0.000 0.000
y 0.000 -5.715 0.000
z 0.000 0.000 2.858
Polar
3z2-r25.715
x2-y25.715
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.196 0.000 0.000
y 0.000 6.209 0.000
z 0.000 0.000 2.196


<r2> (average value of r2) Å2
<r2> 31.512
(<r2>)1/2 5.614