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

using model chemistry: B1B95/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B1B95/6-31G(2df,p)
 hartrees
Energy at 0K-226.043935
Energy at 298.15K-226.049968
HF Energy-226.043935
Nuclear repulsion energy167.372744
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 B1B95/6-31G(2df,p)
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 3248 3111 15.98      
2 A1 3082 2952 0.01      
3 A1 1748 1674 19.36      
4 A1 1419 1359 0.04      
5 A1 1384 1325 26.09      
6 A1 1267 1213 5.06      
7 A1 1047 1003 1.52      
8 A1 937 897 12.85      
9 A2 1146 1097 0.00      
10 A2 942 902 0.00      
11 A2 553 529 0.00      
12 B1 3124 2992 0.33      
13 B1 1006 963 17.63      
14 B1 835 799 2.25      
15 B1 374 358 37.05      
16 B2 3232 3095 8.75      
17 B2 1817 1740 0.00      
18 B2 1399 1340 32.14      
19 B2 1242 1190 0.76      
20 B2 1090 1044 26.44      
21 B2 927 887 76.82      

Unscaled Zero Point Vibrational Energy (zpe) 15907.9 cm-1
Scaled (by 0.9577) Zero Point Vibrational Energy (zpe) 15235.0 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 B1B95/6-31G(2df,p)
ABC
0.36381 0.30747 0.17207

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/6-31G(2df,p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.193
N2 0.000 0.996 0.280
N3 0.000 -0.996 0.280
C4 0.000 0.725 -0.940
C5 0.000 -0.725 -0.940
H6 -0.890 0.000 1.828
H7 0.890 0.000 1.828
H8 0.000 1.467 -1.726
H9 0.000 -1.467 -1.726

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35201.35202.25322.25321.09341.09343.26723.2672
N21.35201.99261.24952.10922.04552.04552.05993.1765
N31.35201.99262.10921.24952.04552.04553.17652.0599
C42.25321.24952.10921.44932.99692.99691.08112.3284
C52.25322.10921.24951.44932.99692.99692.32841.0811
H61.09342.04552.04552.99692.99691.78043.94683.9468
H71.09342.04552.04552.99692.99691.78043.94683.9468
H83.26722.05993.17651.08112.32843.94683.94682.9344
H93.26723.17652.05992.32841.08113.94683.94682.9344

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 119.973 C1 N3 C5 119.973
N2 C1 N3 94.938 N2 C1 H6 113.112
N2 C1 H7 113.112 N2 C4 C5 102.557
N2 C4 H8 124.063 N3 C1 H6 113.112
N3 C1 H7 113.112 N3 C5 C4 102.557
N3 C5 H9 124.063 C4 C5 H9 133.380
C5 C4 H8 133.380 H6 C1 H7 109.003
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B1B95/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.135      
2 N -0.164      
3 N -0.164      
4 C -0.089      
5 C -0.089      
6 H 0.177      
7 H 0.177      
8 H 0.142      
9 H 0.142      


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 -0.643 0.643
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.709 0.000 0.000
y 0.000 -33.906 0.000
z 0.000 0.000 -21.552
Traceless
 xyz
x 0.020 0.000 0.000
y 0.000 -9.275 0.000
z 0.000 0.000 9.256
Polar
3z2-r218.512
x2-y26.197
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.695 0.000 0.000
y 0.000 5.302 0.000
z 0.000 0.000 7.880


<r2> (average value of r2) Å2
<r2> 76.289
(<r2>)1/2 8.734