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

using model chemistry: PBE1PBE/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBE1PBE/6-31G*
 hartrees
Energy at 0K-225.858385
Energy at 298.15K-225.864405
HF Energy-225.858385
Nuclear repulsion energy167.025512
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 PBE1PBE/6-31G*
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 3267 3105 15.04      
2 A1 3097 2943 0.02      
3 A1 1755 1668 18.74      
4 A1 1439 1368 2.02      
5 A1 1408 1338 23.16      
6 A1 1280 1216 6.08      
7 A1 1056 1004 1.77      
8 A1 944 897 12.80      
9 A2 1157 1099 0.00      
10 A2 927 881 0.00      
11 A2 552 525 0.00      
12 B1 3140 2984 0.08      
13 B1 1015 965 17.57      
14 B1 831 789 4.26      
15 B1 374 356 41.58      
16 B2 3251 3090 10.13      
17 B2 1827 1736 0.07      
18 B2 1418 1348 33.92      
19 B2 1253 1190 0.90      
20 B2 1100 1045 30.72      
21 B2 931 885 77.90      

Unscaled Zero Point Vibrational Energy (zpe) 16010.6 cm-1
Scaled (by 0.9503) Zero Point Vibrational Energy (zpe) 15214.9 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 PBE1PBE/6-31G*
ABC
0.36326 0.30560 0.17141

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.197
N2 0.000 0.996 0.281
N3 0.000 -0.996 0.281
C4 0.000 0.725 -0.943
C5 0.000 -0.725 -0.943
H6 -0.894 0.000 1.832
H7 0.894 0.000 1.832
H8 0.000 1.473 -1.730
H9 0.000 -1.473 -1.730

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35321.35322.25962.25961.09661.09663.27613.2761
N21.35321.99291.25422.11262.04862.04862.06653.1844
N31.35321.99292.11261.25422.04862.04863.18442.0665
C42.25961.25422.11261.45023.00453.00451.08502.3342
C52.25962.11261.25421.45023.00453.00452.33421.0850
H61.09662.04862.04863.00453.00451.78753.95643.9564
H71.09662.04862.04863.00453.00451.78753.95643.9564
H83.27612.06653.18441.08502.33423.95643.95642.9454
H93.27613.18442.06652.33421.08503.95643.95642.9454

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 120.083 C1 N3 C5 120.083
N2 C1 N3 94.845 N2 C1 H6 113.078
N2 C1 H7 113.078 N2 C4 C5 102.494
N2 C4 H8 123.949 N3 C1 H6 113.078
N3 C1 H7 113.078 N3 C5 C4 102.494
N3 C5 H9 123.949 C4 C5 H9 133.556
C5 C4 H8 133.556 H6 C1 H7 109.188
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.098      
2 N -0.362      
3 N -0.362      
4 C -0.018      
5 C -0.018      
6 H 0.240      
7 H 0.240      
8 H 0.190      
9 H 0.190      


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 -0.613 0.613
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.910 0.000 0.000
y 0.000 -34.453 0.000
z 0.000 0.000 -21.421
Traceless
 xyz
x 0.027 0.000 0.000
y 0.000 -9.787 0.000
z 0.000 0.000 9.760
Polar
3z2-r219.520
x2-y26.543
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.349 0.000 0.000
y 0.000 4.995 0.000
z 0.000 0.000 7.789


<r2> (average value of r2) Å2
<r2> 76.662
(<r2>)1/2 8.756