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

using model chemistry: PBE1PBE/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 PBE1PBE/3-21G*
 hartrees
Energy at 0K-224.700165
Energy at 298.15K-224.706280
HF Energy-224.700165
Nuclear repulsion energy162.054873
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 PBE1PBE/3-21G*
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' 3633 3487 64.56      
2 A' 3342 3208 0.58      
3 A' 3317 3184 0.02      
4 A' 3315 3181 2.65      
5 A' 1549 1486 21.93      
6 A' 1482 1422 6.62      
7 A' 1414 1357 11.81      
8 A' 1346 1292 10.74      
9 A' 1288 1237 0.65      
10 A' 1168 1121 0.65      
11 A' 1132 1087 16.72      
12 A' 1106 1062 16.13      
13 A' 1068 1025 27.02      
14 A' 970 931 3.54      
15 A' 927 889 10.44      
16 A" 933 895 2.84      
17 A" 867 832 24.11      
18 A" 789 758 37.97      
19 A" 693 665 2.58      
20 A" 675 647 156.85      
21 A" 656 629 34.45      

Unscaled Zero Point Vibrational Energy (zpe) 15834.4 cm-1
Scaled (by 0.9598) Zero Point Vibrational Energy (zpe) 15197.9 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 PBE1PBE/3-21G*
ABC
0.31885 0.31065 0.15735

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/3-21G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.111 0.000
C2 -1.104 0.288 0.000
C3 1.125 0.298 0.000
N4 -0.749 -0.990 0.000
C5 0.648 -0.990 0.000
H6 0.001 2.122 0.000
H7 -2.113 0.664 0.000
H8 2.126 0.693 0.000
H9 1.209 -1.907 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.37761.38852.23012.19851.01112.15942.16663.2519
C21.37762.22981.32582.16862.14191.07623.25553.1892
C31.38852.22982.27371.37312.14303.25861.07562.2071
N42.23011.32582.27371.39683.20082.14353.33062.1623
C52.19852.16861.37311.39683.17843.21812.23921.0758
H61.01112.14192.14303.20083.17842.56782.56084.2070
H72.15941.07623.25862.14353.21812.56784.23854.2008
H82.16663.25551.07563.33062.23922.56084.23852.7573
H93.25193.18922.20712.16231.07584.20704.20082.7573

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 111.149 N1 C2 H7 122.813
N1 C3 C5 105.514 N1 C3 H8 122.605
C2 N1 C3 107.435 C2 N1 H6 126.770
C2 N4 C5 105.566 C3 N1 H6 125.794
C3 C5 N4 110.336 C3 C5 H9 128.237
N4 C2 H7 126.039 N4 C5 H9 121.427
C5 C3 H8 131.881
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.745      
2 C 0.271      
3 C 0.014      
4 N -0.521      
5 C -0.098      
6 H 0.352      
7 H 0.254      
8 H 0.244      
9 H 0.230      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.223 3.721 0.000 3.917
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -25.874 -3.408 0.000
y -3.408 -25.108 0.000
z 0.000 0.000 -31.946
Traceless
 xyz
x 2.653 -3.408 0.000
y -3.408 3.802 0.000
z 0.000 0.000 -6.455
Polar
3z2-r2-12.911
x2-y2-0.766
xy-3.408
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.525 -0.263 0.000
y -0.263 6.235 0.000
z 0.000 0.000 1.916


<r2> (average value of r2) Å2
<r2> 80.535
(<r2>)1/2 8.974