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

using model chemistry: HSEh1PBE/aug-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 HSEh1PBE/aug-cc-pVTZ
 hartrees
Energy at 0K-151.959280
Energy at 298.15K 
HF Energy-151.959280
Nuclear repulsion energy63.586172
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 HSEh1PBE/aug-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 2145 2063 0.00 62.97 0.56 0.72
2 Σg 946 910 0.00 104.05 0.32 0.48
3 Σu 1600 1539 326.00 0.00 0.00 0.00
4 Πg 361 347 0.00 24.93 0.75 0.86
4 Πg 361 347 0.00 24.93 0.75 0.86
5 Πu 170 164 26.76 0.00 0.00 0.00
5 Πu 170 164 26.76 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2876.2 cm-1
Scaled (by 0.9618) Zero Point Vibrational Energy (zpe) 2766.3 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 HSEh1PBE/aug-cc-pVTZ
B
0.16683

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/aug-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 1.949
C4 0.000 0.000 -1.949

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.28471.30642.5911
C21.28472.59111.3064
C31.30642.59113.8975
C42.59111.30643.8975

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 HSEh1PBE/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.613      
2 C 0.613      
3 C -0.613      
4 C -0.613      


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 -22.088 0.000 0.000
y 0.000 -22.088 0.000
z 0.000 0.000 -33.269
Traceless
 xyz
x 5.590 0.000 0.000
y 0.000 5.590 0.000
z 0.000 0.000 -11.181
Polar
3z2-r2-22.362
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 4.779 0.000 0.000
y 0.000 4.779 0.000
z 0.000 0.000 13.688


<r2> (average value of r2) Å2
<r2> 66.646
(<r2>)1/2 8.164

State 2 (1Σ)

Jump to S1C1
Energy calculated at HSEh1PBE/aug-cc-pVTZ
 hartrees
Energy at 0K-151.926141
Energy at 298.15K 
HF Energy-151.926141
Nuclear repulsion energy63.494303
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 HSEh1PBE/aug-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 2145 2063 0.00 92.91 0.34 0.51
2 Σg 943 907 0.00 88.67 0.24 0.38
3 Σu 1610 1548 415.76 0.00 0.00 0.00
4 Πg 478 460 0.00 0.21 0.75 0.86
4 Πg 269 258 0.00 18.94 0.75 0.86
5 Πu 209 201 7.56 0.00 0.00 0.00
5 Πu 140 135 37.92 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2896.8 cm-1
Scaled (by 0.9618) Zero Point Vibrational Energy (zpe) 2786.1 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 HSEh1PBE/aug-cc-pVTZ
B
0.16633

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/aug-cc-pVTZ

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.645
C2 0.000 0.000 -0.645
C3 0.000 0.000 1.951
C4 0.000 0.000 -1.951

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.28921.30672.5959
C21.28922.59591.3067
C31.30672.59593.9026
C42.59591.30673.9026

picture of Carbon tetramer state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.588      
2 C 0.588      
3 C -0.588      
4 C -0.588      


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 -20.436 0.000 0.000
y 0.000 -23.973 0.000
z 0.000 0.000 -33.040
Traceless
 xyz
x 8.070 0.000 0.000
y 0.000 2.765 0.000
z 0.000 0.000 -10.835
Polar
3z2-r2-21.670
x2-y23.537
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.613 0.000 0.000
y 0.000 4.557 0.000
z 0.000 0.000 13.234


<r2> (average value of r2) Å2
<r2> 66.800
(<r2>)1/2 8.173