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All results from a given calculation for C4H4 (Tetrahedrane)

using model chemistry: PBEPBE/6-311+G(3df,2p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes TD 1A1
Energy calculated at PBEPBE/6-311+G(3df,2p)
 hartrees
Energy at 0K-154.496602
Energy at 298.15K 
HF Energy-154.496602
Nuclear repulsion energy105.538359
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 PBEPBE/6-311+G(3df,2p)
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1 3302 3275 0.00      
2 A1 1433 1421 0.00      
3 E 831 824 0.00      
3 E 831 824 0.00      
4 E 533 529 0.00      
4 E 533 529 0.00      
5 T1 844 837 0.00      
5 T1 844 837 0.00      
5 T1 844 837 0.00      
6 T2 3265 3238 12.51      
6 T2 3265 3238 12.51      
6 T2 3265 3238 12.51      
7 T2 1130 1121 2.94      
7 T2 1130 1121 2.94      
7 T2 1130 1121 2.94      
8 T2 741 735 64.03      
8 T2 741 735 64.03      
8 T2 741 735 64.03      

Unscaled Zero Point Vibrational Energy (zpe) 12700.4 cm-1
Scaled (by 0.9918) Zero Point Vibrational Energy (zpe) 12596.3 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 PBEPBE/6-311+G(3df,2p)
ABC
0.45666 0.45666 0.45666

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-311+G(3df,2p)

Point Group is Td

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.524 0.524 0.524
C2 -0.524 -0.524 0.524
C3 -0.524 0.524 -0.524
C4 0.524 -0.524 -0.524
H5 1.145 1.145 1.145
H6 -1.145 -1.145 1.145
H7 -1.145 1.145 -1.145
H8 1.145 -1.145 -1.145

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8
C11.48151.48151.48151.07652.44092.44092.4409
C21.48151.48151.48152.44091.07652.44092.4409
C31.48151.48151.48152.44092.44091.07652.4409
C41.48151.48151.48152.44092.44092.44091.0765
H51.07652.44092.44092.44093.23953.23953.2395
H62.44091.07652.44092.44093.23953.23953.2395
H72.44092.44091.07652.44093.23953.23953.2395
H82.44092.44092.44091.07653.23953.23953.2395

picture of Tetrahedrane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 60.000 C1 C2 C4 60.000
C1 C2 H6 144.736 C1 C3 C2 60.000
C1 C3 C4 60.000 C1 C3 H7 144.736
C1 C4 C2 60.000 C1 C4 C3 60.000
C1 C4 H8 144.736 C2 C1 C3 60.000
C2 C1 C4 60.000 C2 C1 H5 144.736
C2 C3 C4 60.000 C2 C3 H7 144.736
C2 C4 C3 60.000 C2 C4 H8 144.736
C3 C1 C4 60.000 C3 C1 H5 144.736
C3 C2 C4 60.000 C3 C2 H6 144.736
C3 C4 H8 144.736 C4 C1 H5 144.736
C4 C2 H6 144.736 C4 C3 H7 144.736
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.160      
2 C -0.160      
3 C -0.160      
4 C -0.160      
5 H 0.160      
6 H 0.160      
7 H 0.160      
8 H 0.160      


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 -23.185 0.000 0.000
y 0.000 -23.185 0.000
z 0.000 0.000 -23.185
Traceless
 xyz
x 0.000 0.000 0.000
y 0.000 0.000 0.000
z 0.000 0.000 0.000
Polar
3z2-r20.000
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 6.264 0.000 0.000
y 0.000 6.264 0.000
z 0.000 0.000 6.264


<r2> (average value of r2) Å2
<r2> 49.977
(<r2>)1/2 7.069