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

using model chemistry: mPW1PW91/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2D 1A1
Energy calculated at mPW1PW91/3-21G
 hartrees
Energy at 0K-51.722183
Energy at 298.15K-51.724665
HF Energy-51.722183
Nuclear repulsion energy22.343840
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 mPW1PW91/3-21G
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 2607 2488 0.00      
2 A1 1208 1153 0.00      
3 A1 899 858 0.00      
4 B1 577 551 0.00      
5 B2 2584 2467 52.02      
6 B2 1154 1102 0.65      
7 E 2660 2539 56.76      
7 E 2660 2539 56.76      
8 E 982 938 29.33      
8 E 982 938 29.33      
9 E 413 394 0.26      
9 E 413 394 0.26      

Unscaled Zero Point Vibrational Energy (zpe) 8569.4 cm-1
Scaled (by 0.9546) Zero Point Vibrational Energy (zpe) 8180.3 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 mPW1PW91/3-21G
ABC
4.03705 0.66778 0.66778

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/3-21G

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 1.018 1.456
H4 0.000 -1.018 1.456
H5 1.018 0.000 -1.456
H6 -1.018 0.000 -1.456

Atom - Atom Distances (Å)
  B1 B2 H3 H4 H5 H6
B11.62931.20281.20282.48812.4881
B21.62932.48812.48811.20281.2028
H31.20282.48812.03553.24783.2478
H41.20282.48812.03553.24783.2478
H52.48811.20283.24783.24782.0355
H62.48811.20283.24783.24782.0355

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 122.205 B1 B2 H6 122.205
B2 B1 H3 122.205 B2 B1 H4 122.205
H3 B1 H4 115.590 H5 B2 H6 115.590
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 B -0.087      
2 B -0.087      
3 H 0.044      
4 H 0.044      
5 H 0.044      
6 H 0.044      


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 -14.806 0.000 0.000
y 0.000 -14.806 0.000
z 0.000 0.000 -16.203
Traceless
 xyz
x 0.698 0.000 0.000
y 0.000 0.698 0.000
z 0.000 0.000 -1.397
Polar
3z2-r2-2.793
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 3.117 0.000 0.000
y 0.000 3.117 0.000
z 0.000 0.000 5.255


<r2> (average value of r2) Å2
<r2> 28.795
(<r2>)1/2 5.366