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

using model chemistry: mPW1PW91/6-311G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at mPW1PW91/6-311G**
 hartrees
Energy at 0K-226.219360
Energy at 298.15K-226.225391
HF Energy-226.219360
Nuclear repulsion energy163.883699
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 mPW1PW91/6-311G**
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' 3703 3543 61.16      
2 A' 3301 3158 1.35      
3 A' 3270 3128 0.42      
4 A' 3267 3125 6.28      
5 A' 1581 1513 13.94      
6 A' 1527 1461 18.46      
7 A' 1464 1401 12.81      
8 A' 1392 1331 6.76      
9 A' 1288 1233 0.56      
10 A' 1193 1142 4.18      
11 A' 1160 1109 2.72      
12 A' 1110 1062 27.52      
13 A' 1089 1042 34.23      
14 A' 952 911 2.30      
15 A' 913 873 8.04      
16 A" 883 845 4.19      
17 A" 830 794 33.69      
18 A" 741 709 39.44      
19 A" 690 660 4.03      
20 A" 655 626 13.90      
21 A" 551 527 96.25      

Unscaled Zero Point Vibrational Energy (zpe) 15779.2 cm-1
Scaled (by 0.9567) Zero Point Vibrational Energy (zpe) 15095.9 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 mPW1PW91/6-311G**
ABC
0.32847 0.31591 0.16103

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-311G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.100 0.000
C2 -1.084 0.281 0.000
C3 1.114 0.299 0.000
N4 -0.739 -0.980 0.000
C5 0.631 -0.980 0.000
H6 -0.008 2.104 0.000
H7 -2.095 0.659 0.000
H8 2.113 0.702 0.000
H9 1.194 -1.900 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.35881.37192.20722.17291.00462.14052.14973.2281
C21.35882.19861.30762.12872.11731.07903.22453.1533
C31.37192.19862.25171.36692.12563.22901.07652.2003
N42.20721.30762.25171.36983.16982.12783.31042.1397
C52.17292.12871.36691.36983.14943.18072.24081.0784
H61.00462.11732.12563.16983.14942.53782.54274.1804
H72.14051.07903.22902.12783.18072.53784.20754.1667
H82.14973.22451.07653.31042.24082.54274.20752.7590
H93.22813.15332.20032.13971.07844.18044.16672.7590

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 111.730 N1 C2 H7 122.394
N1 C3 C5 105.003 N1 C3 H8 122.346
C2 N1 C3 107.243 C2 N1 H6 126.586
C2 N4 C5 105.298 C3 N1 H6 126.170
C3 C5 N4 110.726 C3 C5 H9 127.877
N4 C2 H7 125.876 N4 C5 H9 121.397
C5 C3 H8 132.651
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.359      
2 C 0.177      
3 C 0.004      
4 N -0.328      
5 C -0.079      
6 H 0.235      
7 H 0.121      
8 H 0.117      
9 H 0.111      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.103 3.607 0.000 3.771
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.253 -3.241 0.000
y -3.241 -25.216 0.000
z 0.000 0.000 -31.546
Traceless
 xyz
x 2.128 -3.241 0.000
y -3.241 3.684 0.000
z 0.000 0.000 -5.812
Polar
3z2-r2-11.623
x2-y2-1.037
xy-3.241
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.319 -0.164 0.000
y -0.164 7.004 0.000
z 0.000 0.000 3.375


<r2> (average value of r2) Å2
<r2> 79.194
(<r2>)1/2 8.899