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 C3 (carbon trimer)

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 1Σg
1 2 no C2V 1A1

Conformer 1 (D*H)

Jump to S1C2
Energy calculated at BLYP/3-21G
 hartrees
Energy at 0K-113.385913
Energy at 298.15K 
HF Energy-113.385913
Nuclear repulsion energy36.315108
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 1159 1153 0.00      
2 Σu 2060 2048 574.25      
3 Πu 87 87 7.99      
3 Πu 87 87 7.99      

Unscaled Zero Point Vibrational Energy (zpe) 1696.9 cm-1
Scaled (by 0.9945) Zero Point Vibrational Energy (zpe) 1687.6 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 BLYP/3-21G
B
0.40839

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 0.000
C2 0.000 0.000 1.311
C3 0.000 0.000 -1.311

Atom - Atom Distances (Å)
  C1 C2 C3
C11.31151.3115
C21.31152.6229
C31.31152.6229

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 BLYP/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.140      
2 C 0.070      
3 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 -16.171 0.000 0.000
y 0.000 -16.171 0.000
z 0.000 0.000 -22.024
Traceless
 xyz
x 2.926 0.000 0.000
y 0.000 2.926 0.000
z 0.000 0.000 -5.853
Polar
3z2-r2-11.706
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 2.201 0.000 0.000
y 0.000 2.201 0.000
z 0.000 0.000 6.240


<r2> (average value of r2) Å2
<r2> 31.958
(<r2>)1/2 5.653

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at BLYP/3-21G
 hartrees
Energy at 0K-113.385913
Energy at 298.15K 
HF Energy-113.385913
Nuclear repulsion energy36.313201
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 A1 1159 1153 0.00      
2 A1 89 88 7.99      
3 B2 2059 2048 574.21      

Unscaled Zero Point Vibrational Energy (zpe) 1653.4 cm-1
Scaled (by 0.9945) Zero Point Vibrational Energy (zpe) 1644.3 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 BLYP/3-21G
B
0.40834

See section I.F.4 to change rotational constant units
Geometric Data calculated at BLYP/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 1.312 -0.000
C3 0.000 -1.312 -0.000

Atom - Atom Distances (Å)
  C1 C2 C3
C11.31151.3115
C21.31152.6231
C31.31152.6231

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 179.989
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 -0.140      
2 C 0.070      
3 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 -16.172 0.000 0.000
y 0.000 -22.024 0.000
z 0.000 0.000 -16.172
Traceless
 xyz
x 2.926 0.000 0.000
y 0.000 -5.852 0.000
z 0.000 0.000 2.926
Polar
3z2-r25.852
x2-y25.852
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.201 0.000 0.000
y 0.000 6.241 0.000
z 0.000 0.000 2.201


<r2> (average value of r2) Å2
<r2> 31.960
(<r2>)1/2 5.653