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All results from a given calculation for C4 (Carbon tetramer)

using model chemistry: mPW1PW91/daug-cc-pVTZ

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 mPW1PW91/daug-cc-pVTZ
 hartrees
Energy at 0K-152.089486
Energy at 298.15K 
HF Energy-152.089486
Nuclear repulsion energy63.623745
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/daug-cc-pVTZ
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 2147 2147 0.00 63.25 0.54 0.70
2 Σg 948 948 0.00 105.01 0.31 0.47
3 Σu 1600 1600 325.58 0.00 0.00 0.00
4 Πg 366 366 0.00 21.92 0.75 0.86
4 Πg 366 366 0.00 21.92 0.75 0.86
5 Πu 172 172 26.52 0.00 0.00 0.00
5 Πu 172 172 26.52 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2885.1 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 2885.1 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 mPW1PW91/daug-cc-pVTZ
B
0.16703

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

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.642
C2 0.000 0.000 -0.642
C3 0.000 0.000 1.948
C4 0.000 0.000 -1.948

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.28401.30562.5896
C21.28402.58961.3056
C31.30562.58963.8952
C42.58961.30563.8952

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 mPW1PW91/daug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.854      
2 C 0.854      
3 C -0.854      
4 C -0.854      


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 -22.009 0.000 0.000
y 0.000 -22.009 0.000
z 0.000 0.000 -33.181
Traceless
 xyz
x 5.586 0.000 0.000
y 0.000 5.586 0.000
z 0.000 0.000 -11.172
Polar
3z2-r2-22.345
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 4.753 0.000 0.000
y 0.000 4.753 0.000
z 0.000 0.000 13.671


<r2> (average value of r2) Å2
<r2> 66.535
(<r2>)1/2 8.157

State 2 (1Σ)

Jump to S1C1
Energy calculated at mPW1PW91/daug-cc-pVTZ
 hartrees
Energy at 0K-152.056391
Energy at 298.15K 
HF Energy-152.056391
Nuclear repulsion energy63.538377
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/daug-cc-pVTZ
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 2148 2148 0.00 92.69 0.33 0.50
2 Σg 945 945 0.00 88.62 0.23 0.38
3 Σu 1611 1611 419.08 0.00 0.00 0.00
4 Πg 479 479 0.00 0.27 0.75 0.86
4 Πg 280 280 0.00 17.39 0.75 0.86
5 Πu 209 209 7.59 0.00 0.00 0.00
5 Πu 143 143 37.64 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2907.3 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 2907.3 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 mPW1PW91/daug-cc-pVTZ
B
0.16656

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

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.644
C2 0.000 0.000 -0.644
C3 0.000 0.000 1.950
C4 0.000 0.000 -1.950

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.28851.30562.5942
C21.28852.59421.3056
C31.30562.59423.8998
C42.59421.30563.8998

picture of Carbon tetramer state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/daug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.831      
2 C 0.831      
3 C -0.831      
4 C -0.831      


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 -23.882 0.000 0.000
y 0.000 -20.360 0.000
z 0.000 0.000 -32.940
Traceless
 xyz
x 2.768 0.000 0.000
y 0.000 8.051 0.000
z 0.000 0.000 -10.819
Polar
3z2-r2-21.638
x2-y2-3.522
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.537 0.000 0.000
y 0.000 4.593 0.000
z 0.000 0.000 13.198


<r2> (average value of r2) Å2
<r2> 66.675
(<r2>)1/2 8.165