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All results from a given calculation for C3H4N2 (2H-Imidazole)

using model chemistry: B97D3/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B97D3/6-31G*
 hartrees
Energy at 0K-226.045982
Energy at 298.15K-226.051867
HF Energy-226.045982
Nuclear repulsion energy166.101621
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 B97D3/6-31G*
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 3152 3090 29.53      
2 A1 3004 2945 4.72      
3 A1 1509 1480 7.01      
4 A1 1394 1367 12.72      
5 A1 1325 1299 9.01      
6 A1 983 963 0.47      
7 A1 955 937 2.47      
8 A1 827 811 5.02      
9 A2 1165 1143 0.00      
10 A2 940 921 0.00      
11 A2 562 551 0.00      
12 B1 3040 2981 3.60      
13 B1 999 979 19.99      
14 B1 805 789 1.34      
15 B1 390 382 30.91      
16 B2 3136 3075 19.34      
17 B2 1610 1578 0.36      
18 B2 1268 1243 0.65      
19 B2 1242 1218 0.00      
20 B2 939 920 79.10      
21 B2 887 869 2.00      

Unscaled Zero Point Vibrational Energy (zpe) 15066.3 cm-1
Scaled (by 0.9804) Zero Point Vibrational Energy (zpe) 14771.0 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 B97D3/6-31G*
ABC
0.32242 0.28475 0.15562

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/6-31G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.130
N2 0.000 1.204 0.298
N3 0.000 -1.204 0.298
C4 0.000 0.740 -0.913
C5 0.000 -0.740 -0.913
H6 -0.886 0.000 1.786
H7 0.886 0.000 1.786
H8 0.000 1.391 -1.789
H9 0.000 -1.391 -1.789

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.46331.46332.17282.17281.10251.10253.23383.2338
N21.46332.40781.29712.29002.10912.10912.09593.3304
N31.46332.40782.29001.29712.10912.10913.33042.0959
C42.17281.29712.29001.47922.93552.93551.09192.3038
C52.17282.29001.29711.47922.93552.93552.30381.0919
H61.10252.10912.10912.93552.93551.77213.93753.9375
H71.10252.10912.10912.93552.93551.77213.93753.9375
H83.23382.09593.33041.09192.30383.93753.93752.7821
H93.23383.33042.09592.30381.09193.93753.93752.7821

picture of 2H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 N2 C4 112.423 C1 N3 C5 112.423
N2 C1 N3 103.225 N2 C1 H6 111.000
N2 C1 H7 111.000 N2 C4 C5 105.964
N2 C4 H8 122.841 N3 C1 H6 111.000
N3 C1 H7 111.000 N3 C5 C4 105.964
N3 C5 H9 122.841 C4 C5 H9 131.194
C5 C4 H8 131.194 H6 C1 H7 109.507
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.085      
2 N -0.345      
3 N -0.345      
4 C 0.027      
5 C 0.027      
6 H 0.202      
7 H 0.202      
8 H 0.159      
9 H 0.159      


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 -1.064 1.064
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.475 0.000 0.000
y 0.000 -34.991 0.000
z 0.000 0.000 -23.063
Traceless
 xyz
x 0.552 0.000 0.000
y 0.000 -9.222 0.000
z 0.000 0.000 8.670
Polar
3z2-r217.339
x2-y26.516
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.397 0.000 0.000
y 0.000 5.233 0.000
z 0.000 0.000 8.014


<r2> (average value of r2) Å2
<r2> 82.003
(<r2>)1/2 9.056