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

using model chemistry: M06-2X/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at M06-2X/3-21G
 hartrees
Energy at 0K-224.821507
Energy at 298.15K-224.827421
HF Energy-224.821507
Nuclear repulsion energy158.445301
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 M06-2X/3-21G
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' 3259 3124 0.99      
2 A' 3230 3097 4.42      
3 A' 3091 2963 1.11      
4 A' 1625 1557 27.02      
5 A' 1547 1483 6.67      
6 A' 1456 1396 20.89      
7 A' 1314 1260 17.75      
8 A' 1293 1240 2.48      
9 A' 1256 1204 15.04      
10 A' 999 958 50.65      
11 A' 958 918 1.11      
12 A' 915 877 4.77      
13 A' 863 828 15.03      
14 A' 840 805 10.47      
15 A" 3137 3007 0.33      
16 A" 1185 1136 0.02      
17 A" 1020 978 22.90      
18 A" 981 941 0.09      
19 A" 785 752 10.91      
20 A" 578 554 23.86      
21 A" 375 360 13.43      

Unscaled Zero Point Vibrational Energy (zpe) 15352.5 cm-1
Scaled (by 0.9587) Zero Point Vibrational Energy (zpe) 14718.4 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 M06-2X/3-21G
ABC
0.30932 0.28564 0.15283

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/3-21G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.139 -0.548 0.000
C2 -0.770 0.878 0.000
N3 0.491 1.138 0.000
C4 1.172 -0.199 0.000
C5 0.000 -1.167 0.000
H6 -1.553 1.617 0.000
H7 1.799 -0.286 0.893
H8 1.799 -0.286 -0.893
H9 0.080 -2.244 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.47332.34582.33721.29622.20443.08173.08172.0883
C21.47331.28742.22012.18491.07682.95792.95793.2353
N32.34581.28741.50052.35712.09922.13002.13003.4072
C42.33722.22011.50051.52013.27421.09451.09452.3183
C51.29622.18492.35711.52013.18762.19292.19291.0799
H62.20441.07682.09923.27423.18763.95633.95634.1919
H73.08172.95792.13001.09452.19293.95631.78582.7539
H83.08172.95792.13001.09452.19293.95631.78582.7539
H92.08833.23533.40722.31831.07994.19192.75392.7539

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 116.197 N1 C2 H6 118.818
N1 C5 C4 111.932 N1 C5 H9 122.755
C2 N1 C5 103.984 C2 N3 C4 105.305
N3 C2 H6 124.984 N3 C4 C5 102.582
N3 C4 H7 109.331 N3 C4 H8 109.331
C4 C5 H9 125.313 C5 C4 H7 112.998
C5 C4 H8 112.998 H7 C4 H8 109.336
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.447      
2 C 0.170      
3 N -0.430      
4 C -0.354      
5 C 0.028      
6 H 0.254      
7 H 0.269      
8 H 0.269      
9 H 0.241      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.564 -1.475 0.000 2.150
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.606 -6.118 0.000
y -6.118 -29.617 0.000
z 0.000 0.000 -29.211
Traceless
 xyz
x -0.192 -6.118 0.000
y -6.118 -0.208 0.000
z 0.000 0.000 0.401
Polar
3z2-r20.802
x2-y20.011
xy-6.118
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.437 -0.746 0.000
y -0.746 5.763 0.000
z 0.000 0.000 2.937


<r2> (average value of r2) Å2
<r2> 83.481
(<r2>)1/2 9.137