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

using model chemistry: B3LYP/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 B3LYP/3-21G
 hartrees
Energy at 0K-224.924400
Energy at 298.15K-224.930270
HF Energy-224.924400
Nuclear repulsion energy158.161087
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/3-21G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A' 3271 3157 9.04      
2 A' 3237 3123 5.22      
3 A' 3080 2972 0.03      
4 A' 1573 1518 25.83      
5 A' 1502 1449 9.52      
6 A' 1445 1394 15.88      
7 A' 1301 1256 14.85      
8 A' 1290 1245 3.04      
9 A' 1244 1200 14.63      
10 A' 982 948 46.03      
11 A' 936 903 2.46      
12 A' 895 863 5.04      
13 A' 841 812 11.04      
14 A' 807 779 14.44      
15 A" 3121 3011 0.25      
16 A" 1179 1137 0.06      
17 A" 1006 970 20.12      
18 A" 967 933 0.68      
19 A" 769 742 12.49      
20 A" 575 555 18.72      
21 A" 380 366 12.45      

Unscaled Zero Point Vibrational Energy (zpe) 15199.2 cm-1
Scaled (by 0.9649) Zero Point Vibrational Energy (zpe) 14665.7 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/3-21G
ABC
0.30867 0.28431 0.15228

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/3-21G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.221 0.342 0.000
C2 0.000 1.167 0.000
N3 1.126 0.534 0.000
C4 0.747 -0.924 0.000
C5 -0.771 -0.878 0.000
H6 -0.101 2.240 0.000
H7 1.162 -1.407 0.892
H8 1.162 -1.407 -0.892
H9 -1.422 -1.741 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.47322.35472.33981.30032.20383.08673.08672.0929
C21.47321.29212.22022.18551.07822.96102.96103.2370
N32.35471.29211.50612.36502.10222.13572.13573.4158
C42.33982.22021.50611.51883.27591.09531.09532.3178
C51.30032.18552.36501.51883.18962.19302.19301.0809
H62.20381.07822.10223.27593.18963.96113.96114.1948
H73.08672.96102.13571.09532.19303.96111.78302.7533
H83.08672.96102.13571.09532.19303.96111.78302.7533
H92.09293.23703.41582.31781.08094.19482.75332.7533

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 116.608 N1 C2 H6 118.664
N1 C5 C4 111.955 N1 C5 H9 122.755
C2 N1 C5 103.821 C2 N3 C4 104.760
N3 C2 H6 124.728 N3 C4 C5 102.856
N3 C4 H7 109.352 N3 C4 H8 109.352
C4 C5 H9 125.290 C5 C4 H7 113.048
C5 C4 H8 113.048 H7 C4 H8 108.964
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.434      
2 C 0.174      
3 N -0.415      
4 C -0.341      
5 C 0.050      
6 H 0.234      
7 H 0.256      
8 H 0.256      
9 H 0.220      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.197 -2.077 0.000 2.087
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.207 -0.767 0.000
y -0.767 -23.648 0.000
z 0.000 0.000 -28.990
Traceless
 xyz
x -8.888 -0.767 0.000
y -0.767 8.451 0.000
z 0.000 0.000 0.438
Polar
3z2-r20.875
x2-y2-11.559
xy-0.767
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.505 -0.382 0.000
y -0.382 6.900 0.000
z 0.000 0.000 2.979


<r2> (average value of r2) Å2
<r2> 83.573
(<r2>)1/2 9.142