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

using model chemistry: mPW1PW91/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at mPW1PW91/3-21G
 hartrees
Energy at 0K-224.787588
Energy at 298.15K-224.793666
HF Energy-224.787588
Nuclear repulsion energy165.973525
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 mPW1PW91/3-21G
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 3298 3148 7.88      
2 A1 3113 2972 1.41      
3 A1 1700 1623 20.78      
4 A1 1444 1379 20.12      
5 A1 1366 1304 2.04      
6 A1 1246 1189 9.29      
7 A1 1037 990 15.20      
8 A1 908 867 6.57      
9 A2 1183 1130 0.00      
10 A2 970 926 0.00      
11 A2 582 556 0.00      
12 B1 3160 3016 1.11      
13 B1 1015 969 21.89      
14 B1 864 825 8.93      
15 B1 385 368 50.32      
16 B2 3280 3131 10.45      
17 B2 1757 1678 0.23      
18 B2 1326 1266 8.79      
19 B2 1262 1205 1.48      
20 B2 1081 1032 32.28      
21 B2 973 929 94.08      

Unscaled Zero Point Vibrational Energy (zpe) 15974.4 cm-1
Scaled (by 0.9546) Zero Point Vibrational Energy (zpe) 15249.2 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 mPW1PW91/3-21G
ABC
0.35993 0.30009 0.16898

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/3-21G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.214
N2 0.000 0.998 0.282
N3 0.000 -0.998 0.282
C4 0.000 0.736 -0.951
C5 0.000 -0.736 -0.951
H6 -0.898 0.000 1.836
H7 0.898 0.000 1.836
H8 0.000 1.464 -1.745
H9 0.000 -1.464 -1.745

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.36601.36602.28712.28711.09211.09213.30153.3015
N21.36601.99551.25992.12742.05392.05392.07913.1884
N31.36601.99552.12741.25992.05392.05393.18842.0791
C42.28711.25992.12741.47253.01933.01931.07692.3392
C52.28712.12741.25991.47253.01933.01932.33921.0769
H61.09212.05392.05393.01933.01931.79573.97143.9714
H71.09212.05392.05393.01933.01931.79573.97143.9714
H83.30152.07913.18841.07692.33923.97143.97142.9283
H93.30153.18842.07912.33921.07693.97143.97142.9283

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 121.098 C1 N3 C5 121.098
N2 C1 N3 93.847 N2 C1 H6 112.880
N2 C1 H7 112.880 N2 C4 C5 101.979
N2 C4 H8 125.497 N3 C1 H6 112.880
N3 C1 H7 112.880 N3 C5 C4 101.979
N3 C5 H9 125.497 C4 C5 H9 132.524
C5 C4 H8 132.524 H6 C1 H7 110.600
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.108      
2 N -0.516      
3 N -0.516      
4 C 0.013      
5 C 0.013      
6 H 0.311      
7 H 0.311      
8 H 0.246      
9 H 0.246      


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 -0.315 0.315
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.281 0.000 0.000
y 0.000 -35.110 0.000
z 0.000 0.000 -21.217
Traceless
 xyz
x -0.118 0.000 0.000
y 0.000 -10.361 0.000
z 0.000 0.000 10.479
Polar
3z2-r220.958
x2-y26.829
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.862 0.000 0.000
y 0.000 4.260 0.000
z 0.000 0.000 7.350


<r2> (average value of r2) Å2
<r2> 77.597
(<r2>)1/2 8.809