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

using model chemistry: B2PLYP/6-311+G(3df,2p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B2PLYP/6-311+G(3df,2p)
 hartrees
Energy at 0K-226.015248
Energy at 298.15K-226.021277
HF Energy-225.729426
Nuclear repulsion energy166.949556
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 B2PLYP/6-311+G(3df,2p)
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 3242 3242 12.49      
2 A1 3077 3077 0.27      
3 A1 1679 1679 23.25      
4 A1 1421 1421 5.86      
5 A1 1396 1396 22.70      
6 A1 1252 1252 3.84      
7 A1 1036 1036 1.21      
8 A1 934 934 10.46      
9 A2 1156 1156 0.00      
10 A2 926 926 0.00      
11 A2 548 548 0.00      
12 B1 3116 3116 1.33      
13 B1 1014 1014 21.46      
14 B1 832 832 5.61      
15 B1 369 369 36.77      
16 B2 3229 3229 3.20      
17 B2 1748 1748 0.36      
18 B2 1388 1388 34.67      
19 B2 1255 1255 1.94      
20 B2 1085 1085 39.64      
21 B2 938 938 63.74      

Unscaled Zero Point Vibrational Energy (zpe) 15819.6 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15819.6 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 B2PLYP/6-311+G(3df,2p)
ABC
0.36334 0.30485 0.17116

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/6-311+G(3df,2p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.200
N2 0.000 0.997 0.281
N3 0.000 -0.997 0.281
C4 0.000 0.725 -0.945
C5 0.000 -0.725 -0.945
H6 -0.891 0.000 1.829
H7 0.891 0.000 1.829
H8 0.000 1.468 -1.728
H9 0.000 -1.468 -1.728

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35601.35602.26472.26471.09081.09083.27543.2754
N21.35601.99351.25572.11402.04582.04582.06333.1794
N31.35601.99352.11401.25572.04582.04583.17942.0633
C42.26471.25572.11401.45093.00303.00301.07882.3286
C52.26472.11401.25571.45093.00303.00302.32861.0788
H61.09082.04582.04583.00303.00301.78223.95003.9500
H71.09082.04582.04583.00303.00301.78223.95003.9500
H83.27542.06333.17941.07882.32863.95003.95002.9354
H93.27543.17942.06332.32861.07883.95003.95002.9354

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 120.208 C1 N3 C5 120.208
N2 C1 N3 94.628 N2 C1 H6 113.019
N2 C1 H7 113.019 N2 C4 C5 102.478
N2 C4 H8 124.044 N3 C1 H6 113.019
N3 C1 H7 113.019 N3 C5 C4 102.478
N3 C5 H9 124.044 C4 C5 H9 133.478
C5 C4 H8 133.478 H6 C1 H7 109.554
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.583      
2 N -0.945      
3 N -0.945      
4 C 0.292      
5 C 0.292      
6 H 0.169      
7 H 0.169      
8 H 0.193      
9 H 0.193      


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 -0.909 0.909
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.850 0.000 0.000
y 0.000 -36.311 0.000
z 0.000 0.000 -22.035
Traceless
 xyz
x 0.323 0.000 0.000
y 0.000 -10.869 0.000
z 0.000 0.000 10.545
Polar
3z2-r221.091
x2-y27.461
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.912 0.000 0.000
y 0.000 7.148 0.000
z 0.000 0.000 8.582


<r2> (average value of r2) Å2
<r2> 77.405
(<r2>)1/2 8.798