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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-223.619372
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 3127 8.26      
2 A1 3003 2953 4.25      
3 A1 1668 1641 20.44      
4 A1 1359 1337 34.57      
5 A1 1328 1306 0.32      
6 A1 1217 1197 13.14      
7 A1 1027 1010 15.37      
8 A1 874 860 7.15      
9 A2 1126 1107 0.00      
10 A2 930 915 0.00      
11 A2 572 563 0.00      
12 B1 3044 2994 4.82      
13 B1 959 943 15.03      
14 B1 829 815 9.53      
15 B1 386 380 51.38      
16 B2 3163 3111 8.14      
17 B2 1720 1692 0.22      
18 B2 1266 1246 8.43      
19 B2 1195 1176 0.31      
20 B2 1062 1045 27.82      
21 B2 944 929 101.38      

Unscaled Zero Point Vibrational Energy (zpe) 15425.8 cm-1
Scaled (by 0.9836) Zero Point Vibrational Energy (zpe) 15172.8 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