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

using model chemistry: mPW1PW91/aug-cc-pVDZ

19 10 17 12 22

States and conformations

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

Conformer 1 (D*H)

Jump to S1C2
Energy calculated at mPW1PW91/aug-cc-pVDZ
 hartrees
Energy at 0K-114.015773
Energy at 298.15K 
HF Energy-114.015773
Nuclear repulsion energy36.644151
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 mPW1PW91/aug-cc-pVDZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 Σg 1249 1196 0.00      
2 Σu 2164 2074 923.12      
3 Πu 121i 116i 16.23      
3 Πu 121i 116i 16.23      

Unscaled Zero Point Vibrational Energy (zpe) 1585.6 cm-1
Scaled (by 0.9583) Zero Point Vibrational Energy (zpe) 1519.5 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 mPW1PW91/aug-cc-pVDZ
B
0.41582

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/aug-cc-pVDZ

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 1.300
C3 0.000 0.000 -1.300

Atom - Atom Distances (Å)
  C1 C2 C3
C11.29971.2997
C21.29972.5994
C31.29972.5994

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 mPW1PW91/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.847      
2 C -0.423      
3 C -0.423      


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 -16.612 0.000 0.000
y 0.000 -16.612 0.000
z 0.000 0.000 -22.559
Traceless
 xyz
x 2.974 0.000 0.000
y 0.000 2.974 0.000
z 0.000 0.000 -5.948
Polar
3z2-r2-11.895
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 3.721 0.000 0.000
y 0.000 3.721 0.000
z 0.000 0.000 7.547


<r2> (average value of r2) Å2
<r2> 31.884
(<r2>)1/2 5.647

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at mPW1PW91/aug-cc-pVDZ
 hartrees
Energy at 0K-114.016005
Energy at 298.15K 
HF Energy-114.016005
Nuclear repulsion energy36.860145
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 mPW1PW91/aug-cc-pVDZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1 1310 1256 2.99      
2 A1 82 79 9.01      
3 B2 2126 2037 799.11      

Unscaled Zero Point Vibrational Energy (zpe) 1759.1 cm-1
Scaled (by 0.9583) Zero Point Vibrational Energy (zpe) 1685.8 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 mPW1PW91/aug-cc-pVDZ
ABC
21.86609 0.44092 0.43220

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/aug-cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.207
C2 0.000 1.262 -0.103
C3 0.000 -1.262 -0.103

Atom - Atom Distances (Å)
  C1 C2 C3
C11.29981.2998
C21.29982.5243
C31.29982.5243

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 152.364
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.977      
2 C -0.489      
3 C -0.489      


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 0.507 0.507
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -16.623 0.000 0.000
y 0.000 -22.015 0.000
z 0.000 0.000 -16.830
Traceless
 xyz
x 2.800 0.000 0.000
y 0.000 -5.289 0.000
z 0.000 0.000 2.490
Polar
3z2-r24.979
x2-y25.392
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.702 0.000 0.000
y 0.000 7.436 0.000
z 0.000 0.000 3.742


<r2> (average value of r2) Å2
<r2> 31.050
(<r2>)1/2 5.572