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

using model chemistry: wB97X-D/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at wB97X-D/6-31G(2df,p)
 hartrees
Energy at 0K-226.057804
Energy at 298.15K-226.063848
HF Energy-226.057804
Nuclear repulsion energy 
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 wB97X-D/6-31G(2df,p)
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 3259 3259 15.61      
2 A1 3081 3081 0.18      
3 A1 1750 1750 18.95      
4 A1 1430 1430 0.00      
5 A1 1394 1394 26.67      
6 A1 1269 1269 4.83      
7 A1 1050 1050 1.70      
8 A1 947 947 12.55      
9 A2 1162 1162 0.00      
10 A2 952 952 0.00      
11 A2 557 557 0.00      
12 B1 3128 3128 0.10      
13 B1 1015 1015 19.30      
14 B1 844 844 2.50      
15 B1 363 363 37.80      
16 B2 3243 3243 7.75      
17 B2 1823 1823 0.01      
18 B2 1414 1414 30.39      
19 B2 1263 1263 0.86      
20 B2 1099 1099 31.26      
21 B2 941 941 76.45      

Unscaled Zero Point Vibrational Energy (zpe) 15991.2 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15991.2 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 wB97X-D/6-31G(2df,p)
ABC
0.36292 0.30614 0.17150

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-31G(2df,p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.198
N2 0.000 0.997 0.280
N3 0.000 -0.997 0.280
C4 0.000 0.727 -0.942
C5 0.000 -0.727 -0.942
H6 -0.894 0.000 1.830
H7 0.894 0.000 1.830
H8 0.000 1.470 -1.728
H9 0.000 -1.470 -1.728

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35511.35512.25942.25941.09441.09443.27443.2744
N21.35511.99331.25082.11212.04802.04802.06293.1803
N31.35511.99332.11211.25082.04802.04803.18032.0629
C42.25941.25082.11211.45303.00113.00111.08222.3328
C52.25942.11211.25081.45303.00113.00112.33281.0822
H61.09442.04802.04803.00113.00111.78713.95193.9519
H71.09442.04802.04803.00113.00111.78713.95193.9519
H83.27442.06293.18031.08222.33283.95193.95192.9393
H93.27443.18032.06292.33281.08223.95193.95192.9393

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 120.180 C1 N3 C5 120.180
N2 C1 N3 94.696 N2 C1 H6 113.029
N2 C1 H7 113.029 N2 C4 C5 102.472
N2 C4 H8 124.160 N3 C1 H6 113.029
N3 C1 H7 113.029 N3 C5 C4 102.472
N3 C5 H9 124.160 C4 C5 H9 133.368
C5 C4 H8 133.368 H6 C1 H7 109.467
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.171      
2 N -0.153      
3 N -0.153      
4 C -0.111      
5 C -0.111      
6 H 0.189      
7 H 0.189      
8 H 0.160      
9 H 0.160      


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 -0.724 0.724
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.744 0.000 0.000
y 0.000 -34.044 0.000
z 0.000 0.000 -21.448
Traceless
 xyz
x 0.002 0.000 0.000
y 0.000 -9.448 0.000
z 0.000 0.000 9.446
Polar
3z2-r218.892
x2-y26.300
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.702 0.000 0.000
y 0.000 5.257 0.000
z 0.000 0.000 7.877


<r2> (average value of r2) Å2
<r2> 76.499
(<r2>)1/2 8.746