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

using model chemistry: LSDA/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at LSDA/3-21G*
 hartrees
Energy at 0K-223.613373
Energy at 298.15K-223.619363
HF Energy-223.613373
Nuclear repulsion energy165.926170
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 LSDA/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 3179 3122 8.26      
2 A1 3003 2949 4.25      
3 A1 1668 1638 20.44      
4 A1 1359 1335 34.57      
5 A1 1328 1304 0.32      
6 A1 1217 1195 13.14      
7 A1 1027 1009 15.37      
8 A1 874 858 7.15      
9 A2 1126 1106 0.00      
10 A2 930 913 0.00      
11 A2 572 562 0.00      
12 B1 3044 2990 4.82      
13 B1 959 942 15.03      
14 B1 829 814 9.53      
15 B1 386 379 51.38      
16 B2 3163 3106 8.14      
17 B2 1720 1689 0.22      
18 B2 1266 1243 8.43      
19 B2 1195 1174 0.31      
20 B2 1062 1043 27.82      
21 B2 944 927 101.38      

Unscaled Zero Point Vibrational Energy (zpe) 15425.8 cm-1
Scaled (by 0.982) Zero Point Vibrational Energy (zpe) 15148.1 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 LSDA/3-21G*
ABC
0.36026 0.30004 0.16908

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.208
N2 0.000 0.997 0.284
N3 0.000 -0.997 0.284
C4 0.000 0.735 -0.951
C5 0.000 -0.735 -0.951
H6 -0.902 0.000 1.846
H7 0.902 0.000 1.846
H8 0.000 1.470 -1.755
H9 0.000 -1.470 -1.755

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35921.35922.28052.28051.10461.10463.30713.3071
N21.35921.99421.26272.12722.06052.06052.09303.2003
N31.35921.99422.12721.26272.06052.06053.20032.0930
C42.28051.26272.12721.46953.02893.02891.08912.3463
C52.28052.12721.26271.46953.02893.02892.34631.0891
H61.10462.06052.06053.02893.02891.80373.99203.9920
H71.10462.06052.06053.02893.02891.80373.99203.9920
H83.30712.09303.20031.08912.34633.99203.99202.9391
H93.30713.20032.09302.34631.08913.99203.99202.9391

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 120.822 C1 N3 C5 120.822
N2 C1 N3 94.377 N2 C1 H6 113.103
N2 C1 H7 113.103 N2 C4 C5 101.990
N2 C4 H8 125.580 N3 C1 H6 113.103
N3 C1 H7 113.103 N3 C5 C4 101.990
N3 C5 H9 125.580 C4 C5 H9 132.430
C5 C4 H8 132.430 H6 C1 H7 109.466
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.180      
2 N -0.439      
3 N -0.439      
4 C -0.014      
5 C -0.014      
6 H 0.314      
7 H 0.314      
8 H 0.229      
9 H 0.229      


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 -0.064 0.064
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.195 0.000 0.000
y 0.000 -34.921 0.000
z 0.000 0.000 -21.391
Traceless
 xyz
x -0.039 0.000 0.000
y 0.000 -10.129 0.000
z 0.000 0.000 10.168
Polar
3z2-r220.335
x2-y26.726
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.947 0.000 0.000
y 0.000 4.475 0.000
z 0.000 0.000 7.590


<r2> (average value of r2) Å2
<r2> 77.645
(<r2>)1/2 8.812