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

using model chemistry: B2PLYP/daug-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 B2PLYP/daug-cc-pVDZ
 hartrees
Energy at 0K-151.952395
Energy at 298.15K 
HF Energy-151.804203
Nuclear repulsion energy62.792328
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 B2PLYP/daug-cc-pVDZ
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 2114 2114 0.00 58.08 0.43 0.60
2 Σg 929 929 0.00 84.10 0.26 0.42
3 Σu 1573 1573 352.97 0.00 0.34 0.51
4 Πg 146 146 0.00 8.21 0.75 0.86
4 Πg 146 146 0.00 8.21 0.75 0.86
5 Πu 145 145 22.73 0.00 0.75 0.86
5 Πu 145 145 22.73 0.00 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 2598.7 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 2598.7 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 B2PLYP/daug-cc-pVDZ
B
0.16268

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/daug-cc-pVDZ

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.651
C2 0.000 0.000 -0.651
C3 0.000 0.000 1.973
C4 0.000 0.000 -1.973

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.30281.32182.6246
C21.30282.62461.3218
C31.32182.62463.9464
C42.62461.32183.9464

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 B2PLYP/daug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.693      
2 C 0.693      
3 C -0.693      
4 C -0.693      


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 -22.512 0.000 0.000
y 0.000 -22.512 0.000
z 0.000 0.000 -33.640
Traceless
 xyz
x 5.564 0.000 0.000
y 0.000 5.564 0.000
z 0.000 0.000 -11.128
Polar
3z2-r2-22.255
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 4.811 0.000 0.000
y 0.000 4.811 0.000
z 0.000 0.000 13.959


<r2> (average value of r2) Å2
<r2> 68.190
(<r2>)1/2 8.258

State 2 (1Σ)

Jump to S1C1
Energy calculated at B2PLYP/daug-cc-pVDZ
 hartrees
Energy at 0K-151.929212
Energy at 298.15K 
HF Energy-151.768973
Nuclear repulsion energy62.602169
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 B2PLYP/daug-cc-pVDZ
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 2093 2093 0.00 81.50 0.30 0.46
2 Σg 918 918 0.00 85.90 0.22 0.36
3 Σu 1576 1576 387.61 0.00 0.75 0.86
4 Πg 326 326 0.00 0.28 0.75 0.86
4 Πg 193i 193i 0.00 10.39 0.75 0.86
5 Πu 186 186 6.95 0.00 0.75 0.86
5 Πu 110 110 36.01 0.00 0.53 0.69

Unscaled Zero Point Vibrational Energy (zpe) 2507.4 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 2507.4 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 B2PLYP/daug-cc-pVDZ
B
0.16168

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/daug-cc-pVDZ

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.654
C2 0.000 0.000 -0.654
C3 0.000 0.000 1.979
C4 0.000 0.000 -1.979

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.30801.32502.6331
C21.30802.63311.3250
C31.32502.63313.9581
C42.63311.32503.9581

picture of Carbon tetramer state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/daug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.676      
2 C 0.676      
3 C -0.676      
4 C -0.676      


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 -24.472 0.000 0.000
y 0.000 -20.720 0.000
z 0.000 0.000 -33.645
Traceless
 xyz
x 2.710 0.000 0.000
y 0.000 8.338 0.000
z 0.000 0.000 -11.048
Polar
3z2-r2-22.096
x2-y2-3.752
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.706 0.000 0.000
y 0.000 4.658 0.000
z 0.000 0.000 13.664


<r2> (average value of r2) Å2
<r2> 68.545
(<r2>)1/2 8.279