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

using model chemistry: B3PW91/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B3PW91/6-31+G**
 hartrees
Energy at 0K-226.148520
Energy at 298.15K-226.154491
HF Energy-226.148520
Nuclear repulsion energy163.281617
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 B3PW91/6-31+G**
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' 3692 3545 61.26      
2 A' 3303 3171 1.01      
3 A' 3278 3147 1.00      
4 A' 3273 3142 4.51      
5 A' 1572 1509 13.17      
6 A' 1518 1458 22.51      
7 A' 1455 1397 14.38      
8 A' 1390 1334 7.21      
9 A' 1286 1235 0.65      
10 A' 1186 1139 3.85      
11 A' 1156 1110 3.66      
12 A' 1108 1064 28.88      
13 A' 1085 1041 33.49      
14 A' 941 903 2.35      
15 A' 902 866 6.04      
16 A" 870 835 5.67      
17 A" 812 780 44.15      
18 A" 729 700 44.92      
19 A" 679 652 3.56      
20 A" 643 617 14.87      
21 A" 535 513 97.40      

Unscaled Zero Point Vibrational Energy (zpe) 15705.4 cm-1
Scaled (by 0.9601) Zero Point Vibrational Energy (zpe) 15078.8 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 B3PW91/6-31+G**
ABC
0.32616 0.31346 0.15984

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31+G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.103 0.000
C2 -1.089 0.282 0.000
C3 1.118 0.301 0.000
N4 -0.740 -0.985 0.000
C5 0.634 -0.984 0.000
H6 -0.011 2.111 0.000
H7 -2.102 0.661 0.000
H8 2.119 0.705 0.000
H9 1.198 -1.906 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.36371.37602.21592.18121.00792.14772.15603.2389
C21.36372.20671.31432.13742.12321.08143.23543.1646
C31.37602.20672.26001.37312.13313.23951.07952.2087
N42.21591.31432.26001.37393.18122.13603.32152.1455
C52.18122.13741.37311.37393.16133.19152.24911.0810
H61.00792.12322.13313.18123.16132.54472.55194.1950
H72.14771.08143.23952.13603.19152.54474.22074.1800
H82.15603.23541.07953.32152.24912.55194.22072.7690
H93.23893.16462.20872.14551.08104.19504.18002.7690

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 111.659 N1 C2 H7 122.467
N1 C3 C5 105.011 N1 C3 H8 122.359
C2 N1 C3 107.306 C2 N1 H6 126.425
C2 N4 C5 105.311 C3 N1 H6 126.270
C3 C5 N4 110.713 C3 C5 H9 127.910
N4 C2 H7 125.874 N4 C5 H9 121.377
C5 C3 H8 132.629
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.337      
2 C 0.036      
3 C -0.110      
4 N -0.283      
5 C -0.111      
6 H 0.319      
7 H 0.162      
8 H 0.170      
9 H 0.154      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.196 3.696 0.000 3.885
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.671 -3.488 0.000
y -3.488 -25.698 0.000
z 0.000 0.000 -32.211
Traceless
 xyz
x 2.283 -3.488 0.000
y -3.488 3.743 0.000
z 0.000 0.000 -6.026
Polar
3z2-r2-12.052
x2-y2-0.973
xy-3.488
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.990 0.010 0.000
y 0.010 7.712 0.000
z 0.000 0.000 4.489


<r2> (average value of r2) Å2
<r2> 79.973
(<r2>)1/2 8.943