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

using model chemistry: mPW1PW91/6-31+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 mPW1PW91/6-31+G**
 hartrees
Energy at 0K-226.179753
Energy at 298.15K-226.185752
HF Energy-226.179753
Nuclear repulsion energy163.574576
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 mPW1PW91/6-31+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' 3719 3540 66.44      
2 A' 3323 3163 0.77      
3 A' 3297 3138 0.92      
4 A' 3293 3134 4.25      
5 A' 1586 1510 13.97      
6 A' 1531 1458 22.90      
7 A' 1469 1398 14.25      
8 A' 1402 1335 7.39      
9 A' 1294 1232 0.70      
10 A' 1197 1139 3.89      
11 A' 1165 1108 3.53      
12 A' 1116 1062 29.63      
13 A' 1092 1039 33.98      
14 A' 947 901 2.43      
15 A' 908 864 5.91      
16 A" 879 837 5.24      
17 A" 823 783 42.84      
18 A" 737 702 47.84      
19 A" 684 651 3.79      
20 A" 648 616 14.82      
21 A" 541 515 100.44      

Unscaled Zero Point Vibrational Energy (zpe) 15824.8 cm-1
Scaled (by 0.9518) Zero Point Vibrational Energy (zpe) 15062.0 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 mPW1PW91/6-31+G**
ABC
0.32724 0.31468 0.16042

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31+G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.101 0.000
C2 -1.087 0.282 0.000
C3 1.116 0.301 0.000
N4 -0.739 -0.983 0.000
C5 0.632 -0.982 0.000
H6 -0.011 2.107 0.000
H7 -2.098 0.660 0.000
H8 2.116 0.703 0.000
H9 1.196 -1.903 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.36081.37362.21142.17741.00612.14402.15313.2336
C21.36082.20271.31172.13382.11861.07993.23013.1596
C31.37362.20272.25591.37092.12963.23421.07792.2051
N42.21141.31172.25591.37163.17482.13213.31582.1424
C52.17742.13381.37091.37163.15583.18632.24531.0795
H61.00612.11862.12963.17483.15582.53962.54884.1881
H72.14401.07993.23422.13213.18632.53964.21424.1735
H82.15313.23011.07793.31582.24532.54884.21422.7640
H93.23363.15962.20512.14241.07954.18814.17352.7640

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 111.660 N1 C2 H7 122.486
N1 C3 C5 105.000 N1 C3 H8 122.409
C2 N1 C3 107.322 C2 N1 H6 126.384
C2 N4 C5 105.330 C3 N1 H6 126.294
C3 C5 N4 110.687 C3 C5 H9 127.894
N4 C2 H7 125.854 N4 C5 H9 121.420
C5 C3 H8 132.591
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.348      
2 C 0.030      
3 C -0.117      
4 N -0.278      
5 C -0.123      
6 H 0.327      
7 H 0.169      
8 H 0.178      
9 H 0.161      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.195 3.707 0.000 3.895
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.653 -3.504 0.000
y -3.504 -25.701 0.000
z 0.000 0.000 -32.270
Traceless
 xyz
x 2.332 -3.504 0.000
y -3.504 3.760 0.000
z 0.000 0.000 -6.093
Polar
3z2-r2-12.186
x2-y2-0.952
xy-3.504
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.930 0.008 0.000
y 0.008 7.656 0.000
z 0.000 0.000 4.475


<r2> (average value of r2) Å2
<r2> 79.760
(<r2>)1/2 8.931