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

using model chemistry: B2PLYP/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 B2PLYP/6-31G(2df,p)
 hartrees
Energy at 0K-225.937296
Energy at 298.15K-225.943324
HF Energy-225.666315
Nuclear repulsion energy166.800939
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/6-31G(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 3258 3111 13.14      
2 A1 3089 2950 0.04      
3 A1 1707 1630 21.72      
4 A1 1424 1360 6.50      
5 A1 1396 1333 13.86      
6 A1 1260 1203 4.71      
7 A1 1041 995 2.26      
8 A1 934 892 13.04      
9 A2 1155 1103 0.00      
10 A2 932 890 0.00      
11 A2 551 526 0.00      
12 B1 3131 2990 0.15      
13 B1 1020 974 17.44      
14 B1 835 797 3.13      
15 B1 369 352 36.20      
16 B2 3243 3097 7.07      
17 B2 1770 1691 0.05      
18 B2 1389 1327 30.26      
19 B2 1252 1196 1.25      
20 B2 1089 1040 29.35      
21 B2 938 896 73.84      

Unscaled Zero Point Vibrational Energy (zpe) 15891.5 cm-1
Scaled (by 0.955) Zero Point Vibrational Energy (zpe) 15176.4 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/6-31G(2df,p)
ABC
0.36254 0.30438 0.17085

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/6-31G(2df,p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.201
N2 0.000 0.997 0.281
N3 0.000 -0.997 0.281
C4 0.000 0.728 -0.946
C5 0.000 -0.728 -0.946
H6 -0.892 0.000 1.833
H7 0.892 0.000 1.833
H8 0.000 1.472 -1.729
H9 0.000 -1.472 -1.729

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35631.35632.26652.26651.09341.09343.27913.2791
N21.35631.99361.25602.11622.04872.04872.06583.1836
N31.35631.99362.11621.25602.04872.04873.18362.0658
C42.26651.25602.11621.45503.00743.00741.08072.3346
C52.26652.11621.25601.45503.00743.00742.33461.0807
H61.09342.04872.04873.00743.00741.78493.95603.9560
H71.09342.04872.04873.00743.00741.78493.95603.9560
H83.27912.06583.18361.08072.33463.95603.95602.9432
H93.27913.18362.06582.33461.08073.95603.95602.9432

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 120.319 C1 N3 C5 120.319
N2 C1 N3 94.601 N2 C1 H6 113.067
N2 C1 H7 113.067 N2 C4 C5 102.380
N2 C4 H8 124.107 N3 C1 H6 113.067
N3 C1 H7 113.067 N3 C5 C4 102.380
N3 C5 H9 124.107 C4 C5 H9 133.513
C5 C4 H8 133.513 H6 C1 H7 109.415
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.161      
2 N -0.127      
3 N -0.127      
4 C -0.113      
5 C -0.113      
6 H 0.175      
7 H 0.175      
8 H 0.145      
9 H 0.145      


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 -0.713 0.713
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.929 0.000 0.000
y 0.000 -34.328 0.000
z 0.000 0.000 -21.854
Traceless
 xyz
x 0.162 0.000 0.000
y 0.000 -9.437 0.000
z 0.000 0.000 9.275
Polar
3z2-r218.550
x2-y26.400
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.673 0.000 0.000
y 0.000 5.269 0.000
z 0.000 0.000 7.805


<r2> (average value of r2) Å2
<r2> 76.886
(<r2>)1/2 8.768