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All results from a given calculation for B2H4 (Diborane(4) D2d)

using model chemistry: PBEPBE/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2D 1A1
Energy calculated at PBEPBE/6-31+G**
 hartrees
Energy at 0K-51.930277
Energy at 298.15K-51.932581
HF Energy-51.930277
Nuclear repulsion energy22.253774
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/6-31+G**
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 2521 2493 0.00      
2 A1 1150 1137 0.00      
3 A1 869 859 0.00      
4 B1 578 571 0.00      
5 B2 2500 2472 59.07      
6 B2 1077 1064 0.03      
7 E 2566 2537 75.06      
7 E 2566 2537 75.06      
8 E 950 939 20.68      
8 E 950 939 20.68      
9 E 345 341 0.68      
9 E 345 341 0.68      

Unscaled Zero Point Vibrational Energy (zpe) 8207.8 cm-1
Scaled (by 0.9886) Zero Point Vibrational Energy (zpe) 8114.2 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/6-31+G**
ABC
4.00789 0.66376 0.66376

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31+G**

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
B1 0.000 0.000 0.815
B2 0.000 0.000 -0.815
H3 0.000 1.021 1.466
H4 0.000 -1.021 1.466
H5 1.021 0.000 -1.466
H6 -1.021 0.000 -1.466

Atom - Atom Distances (Å)
  B1 B2 H3 H4 H5 H6
B11.63041.21101.21102.49932.4993
B21.63042.49932.49931.21101.2110
H31.21102.49932.04293.26823.2682
H41.21102.49932.04293.26823.2682
H52.49931.21103.26823.26822.0429
H62.49931.21103.26823.26822.0429

picture of Diborane(4) D2d state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
B1 B2 H5 122.494 B1 B2 H6 122.494
B2 B1 H3 122.494 B2 B1 H4 122.494
H3 B1 H4 115.013 H5 B2 H6 115.013
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 B -0.046      
2 B -0.046      
3 H 0.023      
4 H 0.023      
5 H 0.023      
6 H 0.023      


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 -14.766 0.000 0.000
y 0.000 -14.766 0.000
z 0.000 0.000 -16.519
Traceless
 xyz
x 0.877 0.000 0.000
y 0.000 0.877 0.000
z 0.000 0.000 -1.754
Polar
3z2-r2-3.507
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 3.719 0.000 0.000
y 0.000 3.719 0.000
z 0.000 0.000 6.537


<r2> (average value of r2) Å2
<r2> 29.001
(<r2>)1/2 5.385