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

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 yes D*H 3Σg
2 1 yes D*H 1Σ

State 1 (3Σg)

Jump to S2C1
Energy calculated at mPW1PW91/aug-cc-pVDZ
 hartrees
Energy at 0K-152.058605
Energy at 298.15K 
HF Energy-152.058605
Nuclear repulsion energy63.053794
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 2156 2066 0.00 64.00 0.51 0.67
2 Σg 947 908 0.00 108.00 0.30 0.47
3 Σu 1602 1535 324.98 0.00 0.00 0.00
4 Πg 229 220 0.00 16.61 0.75 0.86
4 Πg 229 220 0.00 16.61 0.75 0.86
5 Πu 154 148 24.48 0.00 0.00 0.00
5 Πu 154 148 24.48 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2735.8 cm-1
Scaled (by 0.9583) Zero Point Vibrational Energy (zpe) 2621.8 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
B
0.16406

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 0.647
C2 0.000 0.000 -0.647
C3 0.000 0.000 1.965
C4 0.000 0.000 -1.965

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.29491.31782.6127
C21.29492.61271.3178
C31.31782.61273.9305
C42.61271.31783.9305

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/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.773      
2 C 0.773      
3 C -0.773      
4 C -0.773      


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 -22.161 0.000 0.000
y 0.000 -22.161 0.000
z 0.000 0.000 -33.145
Traceless
 xyz
x 5.492 0.000 0.000
y 0.000 5.492 0.000
z 0.000 0.000 -10.985
Polar
3z2-r2-21.969
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 4.715 0.000 0.000
y 0.000 4.715 0.000
z 0.000 0.000 13.968


<r2> (average value of r2) Å2
<r2> 67.505
(<r2>)1/2 8.216

State 2 (1Σ)

Jump to S1C1
Energy calculated at mPW1PW91/aug-cc-pVDZ
 hartrees
Energy at 0K-152.025433
Energy at 298.15K 
HF Energy-152.025433
Nuclear repulsion energy62.964184
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 2158 2068 0.00 91.82 0.34 0.51
2 Σg 944 905 0.00 90.18 0.24 0.38
3 Σu 1613 1546 424.82 0.00 0.00 0.00
4 Πg 392 376 0.00 0.21 0.75 0.86
4 Πg 108i 103i 0.00 14.70 0.75 0.86
5 Πu 193 185 6.73 0.00 0.00 0.00
5 Πu 120 115 35.33 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2656.2 cm-1
Scaled (by 0.9583) Zero Point Vibrational Energy (zpe) 2545.4 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 mPW1PW91/aug-cc-pVDZ
B
0.16357

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 0.650
C2 0.000 0.000 -0.650
C3 0.000 0.000 1.968
C4 0.000 0.000 -1.968

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.29961.31792.6176
C21.29962.61761.3179
C31.31792.61763.9355
C42.61761.31793.9355

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/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.746      
2 C 0.746      
3 C -0.746      
4 C -0.746      


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 -24.123 0.000 0.000
y 0.000 -20.413 0.000
z 0.000 0.000 -32.886
Traceless
 xyz
x 2.526 0.000 0.000
y 0.000 8.092 0.000
z 0.000 0.000 -10.618
Polar
3z2-r2-21.235
x2-y2-3.711
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.544 0.000 0.000
y 0.000 4.525 0.000
z 0.000 0.000 13.464


<r2> (average value of r2) Å2
<r2> 67.650
(<r2>)1/2 8.225