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

using model chemistry: TPSSh/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 TPSSh/6-31G(2df,p)
 hartrees
Energy at 0K-226.223006
Energy at 298.15K-226.228965
HF Energy-226.223006
Nuclear repulsion energy160.487332
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 TPSSh/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 3195 3083 23.74      
2 A1 3044 2937 3.71      
3 A1 1546 1492 6.54      
4 A1 1408 1358 12.47      
5 A1 1347 1299 10.42      
6 A1 996 962 0.68      
7 A1 973 939 1.56      
8 A1 838 808 5.11      
9 A2 1177 1136 0.00      
10 A2 980 945 0.00      
11 A2 569 549 0.00      
12 B1 3079 2971 1.91      
13 B1 1025 989 21.73      
14 B1 827 798 0.48      
15 B1 391 377 28.63      
16 B2 3178 3067 13.74      
17 B2 1645 1587 0.34      
18 B2 1295 1250 1.39      
19 B2 1254 1211 0.01      
20 B2 970 936 72.75      
21 B2 896 864 12.65      

Unscaled Zero Point Vibrational Energy (zpe) 15315.8 cm-1
Scaled (by 0.965) Zero Point Vibrational Energy (zpe) 14779.7 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 TPSSh/6-31G(2df,p)
ABC
0.32526 0.28792 0.15719

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.148
N2 0.000 1.091 0.285
N3 0.000 -1.091 0.285
C4 0.000 0.746 -0.915
C5 0.000 -0.746 -0.915
H6 -0.888 0.000 1.775
H7 0.888 0.000 1.775
H8 0.000 1.455 -1.725
H9 0.000 -1.455 -1.725

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.39091.39092.19322.19321.08741.08743.22053.2205
N21.39092.18191.24822.19412.04942.04942.04283.2440
N31.39092.18192.19411.24822.04942.04943.24402.0428
C42.19321.24822.19411.49222.92942.92941.07692.3458
C52.19322.19411.24821.49222.92942.92942.34581.0769
H61.08742.04942.04942.92942.92941.77603.89363.8936
H71.08742.04942.04942.92942.92941.77603.89363.8936
H83.22052.04283.24401.07692.34583.89363.89362.9105
H93.22053.24402.04282.34581.07693.89363.89362.9105

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 112.301 C1 N3 C5 112.301
N2 C1 N3 103.321 N2 C1 H6 110.979
N2 C1 H7 110.979 N2 C4 C5 106.038
N2 C4 H8 122.777 N3 C1 H6 110.979
N3 C1 H7 110.979 N3 C5 C4 106.038
N3 C5 H9 122.777 C4 C5 H9 131.185
C5 C4 H8 131.185 H6 C1 H7 109.497
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.160      
2 N -0.161      
3 N -0.161      
4 C -0.096      
5 C -0.096      
6 H 0.186      
7 H 0.186      
8 H 0.151      
9 H 0.151      


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 -1.120 1.120
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.727 0.000 0.000
y 0.000 5.436 0.000
z 0.000 0.000 7.979


<r2> (average value of r2) Å2
<r2> 81.261
(<r2>)1/2 9.015