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All results from a given calculation for C3H4N2 (1H-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 CS 1A'
Energy calculated at wB97X-D/6-31G(2df,p)
 hartrees
Energy at 0K-226.156718
Energy at 298.15K-226.162737
HF Energy-226.156718
Nuclear repulsion energy163.824294
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 A' 3726 3726 64.57      
2 A' 3316 3316 1.45      
3 A' 3281 3281 1.24      
4 A' 3277 3277 6.68      
5 A' 1589 1589 15.45      
6 A' 1536 1536 17.68      
7 A' 1468 1468 14.72      
8 A' 1399 1399 8.39      
9 A' 1293 1293 0.49      
10 A' 1192 1192 4.65      
11 A' 1166 1166 1.80      
12 A' 1117 1117 21.26      
13 A' 1092 1092 32.16      
14 A' 950 950 1.61      
15 A' 909 909 8.81      
16 A" 887 887 4.87      
17 A" 832 832 22.54      
18 A" 738 738 28.79      
19 A" 691 691 3.64      
20 A" 655 655 11.44      
21 A" 544 544 92.46      

Unscaled Zero Point Vibrational Energy (zpe) 15828.4 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15828.4 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 wB97X-D/6-31G(2df,p)
ABC
0.32817 0.31575 0.16092

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.100 0.000
C2 -1.083 0.281 0.000
C3 1.114 0.298 0.000
N4 -0.741 -0.981 0.000
C5 0.633 -0.979 0.000
H6 -0.011 2.104 0.000
H7 -2.093 0.665 0.000
H8 2.111 0.705 0.000
H9 1.195 -1.901 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.35791.37312.20922.17361.00382.13742.14783.2297
C21.35792.19771.30832.12942.11461.07993.22253.1545
C31.37312.19772.25311.36492.12783.22801.07692.1997
N42.20921.30832.25311.37333.17022.13053.31302.1428
C52.17362.12941.36491.37333.14963.18322.24121.0791
H61.00382.11462.12783.17023.14962.53062.54154.1819
H72.13741.07993.22802.13053.18322.53064.20414.1703
H82.14783.22251.07693.31302.24122.54154.20412.7618
H93.22973.15452.19972.14281.07914.18194.17032.7618

picture of 1H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 N4 111.892 N1 C2 H7 122.103
N1 C3 C5 105.096 N1 C3 H8 122.024
C2 N1 C3 107.165 C2 N1 H6 126.463
C2 N4 C5 105.110 C3 N1 H6 126.372
C3 C5 N4 110.737 C3 C5 H9 127.939
N4 C2 H7 126.005 N4 C5 H9 121.324
C5 C3 H8 132.880
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 N -0.274      
2 C 0.020      
3 C -0.125      
4 N -0.279      
5 C -0.092      
6 H 0.298      
7 H 0.157      
8 H 0.158      
9 H 0.139      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.099 3.540 0.000 3.707
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -25.916 -3.135 0.000
y -3.135 -24.828 0.000
z 0.000 0.000 -30.883
Traceless
 xyz
x 1.940 -3.135 0.000
y -3.135 3.571 0.000
z 0.000 0.000 -5.511
Polar
3z2-r2-11.022
x2-y2-1.088
xy-3.135
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.208 -0.207 0.000
y -0.207 6.903 0.000
z 0.000 0.000 3.116


<r2> (average value of r2) Å2
<r2> 78.943
(<r2>)1/2 8.885