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All results from a given calculation for C3H4N2 (1H-Imidazole)

using model chemistry: wB97X-D/cc-pVTZ

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/cc-pVTZ
 hartrees
Energy at 0K-226.219683
Energy at 298.15K-226.225719
HF Energy-226.219683
Nuclear repulsion energy164.100170
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/cc-pVTZ
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' 3707 3544 63.68      
2 A' 3301 3156 1.03      
3 A' 3269 3125 0.30      
4 A' 3266 3122 6.18      
5 A' 1584 1515 13.11      
6 A' 1528 1460 18.43      
7 A' 1464 1399 13.52      
8 A' 1394 1332 7.06      
9 A' 1290 1234 0.31      
10 A' 1188 1135 4.36      
11 A' 1159 1108 2.09      
12 A' 1111 1062 22.31      
13 A' 1086 1039 35.27      
14 A' 951 909 1.89      
15 A' 911 871 7.93      
16 A" 898 859 4.31      
17 A" 837 800 26.22      
18 A" 741 709 41.18      
19 A" 689 659 5.40      
20 A" 655 626 8.16      
21 A" 545 521 94.45      

Unscaled Zero Point Vibrational Energy (zpe) 15786.0 cm-1
Scaled (by 0.956) Zero Point Vibrational Energy (zpe) 15091.4 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/cc-pVTZ
ABC
0.32876 0.31730 0.16146

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/cc-pVTZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -0.738 -0.978 0.000
H2 -0.010 2.098 0.000
C3 1.112 0.296 0.000
H4 2.108 0.700 0.000
C5 0.632 -0.977 0.000
H6 1.193 -1.896 0.000
H7 -2.091 0.663 0.000
C8 -1.083 0.283 0.000
N9 0.000 1.096 0.000

Atom - Atom Distances (Å)
  N1 H2 C3 H4 C5 H6 H7 C8 N9
N13.16082.24663.30351.36992.13812.12661.30702.2012
H23.16082.12272.53823.14174.17122.52792.10901.0021
C32.24662.12271.07421.36122.19383.22422.19581.3699
H43.30352.53821.07422.23392.75204.19923.21862.1450
C51.36993.14171.36122.23391.07643.17882.12842.1674
H62.13814.17122.19382.75201.07644.16323.15103.2210
H72.12662.52793.22424.19923.17884.16321.07692.1354
C81.30702.10902.19583.21862.12843.15101.07691.3548
N92.20121.00211.36992.14502.16743.22102.13541.3548

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 69.878 N1 C2 H7 42.092
N1 C3 C5 34.784 N1 C3 H8 34.195
C2 N1 C3 42.133 C2 N1 H6 102.115
C2 N4 C5 82.079 C3 N1 H6 59.982
C3 C5 N4 20.694 C3 C5 H9 37.615
N4 C2 H7 111.970 N4 C5 H9 58.309
C5 C3 H8 68.979
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.217      
2 H 0.152      
3 C -0.139      
4 H 0.125      
5 C -0.108      
6 H 0.120      
7 H 0.119      
8 C -0.028      
9 N -0.024      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.109 3.602 0.000 3.769
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.410 -3.265 0.000
y -3.265 -25.344 0.000
z 0.000 0.000 -31.533
Traceless
 xyz
x 2.028 -3.265 0.000
y -3.265 3.628 0.000
z 0.000 0.000 -5.656
Polar
3z2-r2-11.312
x2-y2-1.066
xy-3.265
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.699 -0.146 0.000
y -0.146 7.370 0.000
z 0.000 0.000 4.017


<r2> (average value of r2) Å2
<r2> 79.083
(<r2>)1/2 8.893