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

using model chemistry: B3PW91/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B3PW91/3-21G
 hartrees
Energy at 0K-224.758351
Energy at 298.15K-224.764407
HF Energy-224.758351
Nuclear repulsion energy165.772275
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 B3PW91/3-21G
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 3274 3147 9.31      
2 A1 3093 2973 0.96      
3 A1 1687 1622 21.15      
4 A1 1436 1380 19.94      
5 A1 1356 1303 1.51      
6 A1 1239 1191 9.57      
7 A1 1030 990 15.33      
8 A1 895 860 6.46      
9 A2 1176 1130 0.00      
10 A2 960 923 0.00      
11 A2 578 555 0.00      
12 B1 3138 3016 0.82      
13 B1 1008 969 20.49      
14 B1 857 824 9.27      
15 B1 382 368 49.71      
16 B2 3257 3131 11.73      
17 B2 1741 1674 0.18      
18 B2 1314 1263 8.62      
19 B2 1253 1205 1.61      
20 B2 1073 1031 30.83      
21 B2 966 929 94.79      

Unscaled Zero Point Vibrational Energy (zpe) 15855.4 cm-1
Scaled (by 0.9612) Zero Point Vibrational Energy (zpe) 15240.2 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 B3PW91/3-21G
ABC
0.35937 0.29914 0.16857

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/3-21G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.216
N2 0.000 0.998 0.282
N3 0.000 -0.998 0.282
C4 0.000 0.738 -0.953
C5 0.000 -0.738 -0.953
H6 -0.899 0.000 1.840
H7 0.899 0.000 1.840
H8 0.000 1.467 -1.747
H9 0.000 -1.467 -1.747

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.36681.36682.29072.29071.09391.09393.30663.3066
N21.36681.99571.26172.12972.05662.05662.08273.1929
N31.36681.99572.12971.26172.05662.05663.19292.0827
C42.29071.26172.12971.47513.02463.02461.07882.3437
C52.29072.12971.26171.47513.02463.02462.34371.0788
H61.09392.05662.05663.02463.02461.79753.97813.9781
H71.09392.05662.05663.02463.02461.79753.97813.9781
H83.30662.08273.19291.07882.34373.97813.97812.9348
H93.30663.19292.08272.34371.07883.97813.97812.9348

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 121.207 C1 N3 C5 121.207
N2 C1 N3 93.778 N2 C1 H6 112.926
N2 C1 H7 112.926 N2 C4 C5 101.904
N2 C4 H8 125.521 N3 C1 H6 112.926
N3 C1 H7 112.926 N3 C5 C4 101.904
N3 C5 H9 125.521 C4 C5 H9 132.575
C5 C4 H8 132.575 H6 C1 H7 110.499
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.108      
2 N -0.506      
3 N -0.506      
4 C 0.013      
5 C 0.013      
6 H 0.307      
7 H 0.307      
8 H 0.240      
9 H 0.240      


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 -0.284 0.284
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.257 0.000 0.000
y 0.000 -35.058 0.000
z 0.000 0.000 -21.256
Traceless
 xyz
x -0.100 0.000 0.000
y 0.000 -10.302 0.000
z 0.000 0.000 10.402
Polar
3z2-r220.803
x2-y26.802
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.878 0.000 0.000
y 0.000 4.304 0.000
z 0.000 0.000 7.406


<r2> (average value of r2) Å2
<r2> 77.745
(<r2>)1/2 8.817