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

using model chemistry: BLYP/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 BLYP/6-31+G**
 hartrees
Energy at 0K-226.156316
Energy at 298.15K-226.162122
HF Energy-226.156316
Nuclear repulsion energy161.434142
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 BLYP/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' 3547 3528 34.36      
2 A' 3208 3191 2.61      
3 A' 3187 3170 1.58      
4 A' 3181 3164 4.90      
5 A' 1498 1491 8.95      
6 A' 1444 1436 20.71      
7 A' 1377 1369 14.91      
8 A' 1315 1308 5.96      
9 A' 1243 1236 0.49      
10 A' 1117 1111 4.27      
11 A' 1111 1105 4.32      
12 A' 1059 1053 20.47      
13 A' 1039 1034 35.66      
14 A' 909 905 2.14      
15 A' 872 867 7.44      
16 A" 821 817 8.85      
17 A" 758 754 53.80      
18 A" 687 683 31.46      
19 A" 654 651 3.18      
20 A" 617 614 13.51      
21 A" 493 491 85.87      

Unscaled Zero Point Vibrational Energy (zpe) 15068.7 cm-1
Scaled (by 0.9947) Zero Point Vibrational Energy (zpe) 14988.8 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 BLYP/6-31+G**
ABC
0.31858 0.30643 0.15619

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.117 0.000
C2 -1.104 0.285 0.000
C3 1.131 0.304 0.000
N4 -0.748 -0.997 0.000
C5 0.643 -0.994 0.000
H6 -0.008 2.134 0.000
H7 -2.122 0.666 0.000
H8 2.137 0.714 0.000
H9 1.208 -1.922 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.38211.39352.24272.20611.01752.16932.17443.2706
C21.38212.23511.33032.16422.14971.08763.26873.1963
C31.39352.23512.28611.38612.15643.27371.08602.2272
N42.24271.33032.28611.39133.21792.15733.35472.1645
C52.20612.16421.38611.39133.19483.22482.26911.0875
H61.01752.14972.15643.21793.19482.57372.57224.2351
H72.16931.08763.27372.15733.22482.57374.25914.2182
H82.17443.26871.08603.35472.26912.57224.25912.7953
H93.27063.19632.22722.16451.08754.23514.21822.7953

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 111.535 N1 C2 H7 122.443
N1 C3 C5 105.063 N1 C3 H8 122.070
C2 N1 C3 107.277 C2 N1 H6 126.567
C2 N4 C5 105.330 C3 N1 H6 126.156
C3 C5 N4 110.795 C3 C5 H9 128.017
N4 C2 H7 126.022 N4 C5 H9 121.187
C5 C3 H8 132.867
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.322      
2 C 0.082      
3 C -0.064      
4 N -0.295      
5 C -0.060      
6 H 0.285      
7 H 0.128      
8 H 0.129      
9 H 0.116      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.193 3.610 0.000 3.802
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.467 -3.473 0.000
y -3.473 -26.476 0.000
z 0.000 0.000 -32.675
Traceless
 xyz
x 2.109 -3.473 0.000
y -3.473 3.595 0.000
z 0.000 0.000 -5.704
Polar
3z2-r2-11.408
x2-y2-0.991
xy-3.473
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.612 0.061 0.000
y 0.061 8.318 0.000
z 0.000 0.000 4.858


<r2> (average value of r2) Å2
<r2> 81.812
(<r2>)1/2 9.045