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

using model chemistry: PBEPBEultrafine/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2D 1A1
Energy calculated at PBEPBEultrafine/6-31G*
 hartrees
Energy at 0K-51.924034
Energy at 298.15K-51.926344
HF Energy-51.924034
Nuclear repulsion energy22.237401
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 PBEPBEultrafine/6-31G*
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 2537 2495 0.00      
2 A1 1162 1143 0.00      
3 A1 874 859 0.00      
4 B1 574 565 0.00      
5 B2 2517 2475 50.49      
6 B2 1090 1072 0.03      
7 E 2582 2540 64.21      
7 E 2582 2540 64.21      
8 E 955 939 23.07      
8 E 955 939 23.07      
9 E 352 346 0.42      
9 E 352 346 0.42      

Unscaled Zero Point Vibrational Energy (zpe) 8266.2 cm-1
Scaled (by 0.9835) Zero Point Vibrational Energy (zpe) 8129.9 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 PBEPBEultrafine/6-31G*
ABC
4.01251 0.66233 0.66233

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

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
B1 0.000 0.000 0.816
B2 0.000 0.000 -0.816
H3 0.000 1.021 1.468
H4 0.000 -1.021 1.468
H5 1.021 0.000 -1.468
H6 -1.021 0.000 -1.468

Atom - Atom Distances (Å)
  B1 B2 H3 H4 H5 H6
B11.63191.21161.21162.50212.5021
B21.63192.50212.50211.21161.2116
H31.21162.50212.04173.27253.2725
H41.21162.50212.04173.27253.2725
H52.50211.21163.27253.27252.0417
H62.50211.21163.27253.27252.0417

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 122.585 B1 B2 H6 122.585
B2 B1 H3 122.585 B2 B1 H4 122.585
H3 B1 H4 114.831 H5 B2 H6 114.831
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-31G* 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 -14.210 0.000 0.000
y 0.000 -14.210 0.000
z 0.000 0.000 -15.834
Traceless
 xyz
x 0.812 0.000 0.000
y 0.000 0.812 0.000
z 0.000 0.000 -1.623
Polar
3z2-r2-3.247
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 3.274 0.000 0.000
y 0.000 3.274 0.000
z 0.000 0.000 5.695


<r2> (average value of r2) Å2
<r2> 28.665
(<r2>)1/2 5.354