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All results from a given calculation for C3H4N2 (4H-Imidazole)

using model chemistry: B3LYP/6-31G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B3LYP/6-31G
 hartrees
Energy at 0K-226.105435
Energy at 298.15K-226.111360
HF Energy-226.105435
Nuclear repulsion energy158.741950
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 B3LYP/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 A' 3298 3173 8.19      
2 A' 3260 3137 5.00      
3 A' 3075 2958 0.18      
4 A' 1606 1545 31.46      
5 A' 1521 1463 8.37      
6 A' 1448 1393 25.09      
7 A' 1319 1268 20.35      
8 A' 1306 1256 2.24      
9 A' 1270 1222 13.20      
10 A' 998 960 54.48      
11 A' 961 924 0.71      
12 A' 937 902 3.92      
13 A' 869 836 9.55      
14 A' 858 825 12.29      
15 A" 3115 2997 0.87      
16 A" 1166 1122 0.14      
17 A" 1018 980 15.44      
18 A" 963 927 0.04      
19 A" 777 748 11.32      
20 A" 578 556 22.48      
21 A" 391 376 11.36      

Unscaled Zero Point Vibrational Energy (zpe) 15366.9 cm-1
Scaled (by 0.962) Zero Point Vibrational Energy (zpe) 14783.0 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 B3LYP/6-31G
ABC
0.30990 0.28820 0.15361

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.210 0.357 0.000
C2 0.000 1.163 0.000
N3 1.125 0.516 0.000
C4 0.738 -0.922 0.000
C5 -0.771 -0.872 0.000
H6 -0.080 2.239 0.000
H7 1.154 -1.420 0.884
H8 1.154 -1.420 -0.884
H9 -1.438 -1.724 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.45382.33982.32951.30462.19553.08663.08662.0934
C21.45381.29782.21162.17651.07912.96462.96463.2255
N32.33981.29781.48882.34972.10282.12862.12863.4036
C42.32952.21161.48881.50983.26501.09681.09682.3188
C51.30462.17652.34971.50983.18722.18832.18831.0819
H62.19551.07912.10283.26503.18723.96213.96214.1896
H73.08662.96462.12861.09682.18833.96211.76702.7553
H83.08662.96462.12861.09682.18833.96211.76702.7553
H92.09343.22553.40362.31881.08194.18962.75532.7553

picture of 4H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 N3 116.385 N1 C2 H6 119.448
N1 C5 C4 111.519 N1 C5 H9 122.332
C2 N1 C5 104.059 C2 N3 C4 104.850
N3 C2 H6 124.167 N3 C4 C5 103.185
N3 C4 H7 109.902 N3 C4 H8 109.902
C4 C5 H9 126.148 C5 C4 H7 113.237
C5 C4 H8 113.237 H7 C4 H8 107.329
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.329      
2 C 0.105      
3 N -0.313      
4 C -0.252      
5 C 0.035      
6 H 0.176      
7 H 0.204      
8 H 0.204      
9 H 0.170      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.160 -2.270 0.000 2.275
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.038 -0.763 0.000
y -0.763 -23.753 0.000
z 0.000 0.000 -28.823
Traceless
 xyz
x -9.750 -0.763 0.000
y -0.763 8.678 0.000
z 0.000 0.000 1.072
Polar
3z2-r22.144
x2-y2-12.286
xy-0.763
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.052 -0.396 0.000
y -0.396 7.282 0.000
z 0.000 0.000 3.282


<r2> (average value of r2) Å2
<r2> 83.236
(<r2>)1/2 9.123