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

using model chemistry: PBE1PBE/cc-pVTZ

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/cc-pVTZ
 hartrees
Energy at 0K-226.036751
Energy at 298.15K-226.042783
HF Energy-226.036751
Nuclear repulsion energy164.105721
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/cc-pVTZ
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' 3696 3552 60.00      
2 A' 3291 3162 1.01      
3 A' 3259 3132 0.29      
4 A' 3257 3130 5.33      
5 A' 1577 1516 12.81      
6 A' 1525 1465 16.27      
7 A' 1459 1402 11.95      
8 A' 1391 1337 6.73      
9 A' 1288 1238 0.50      
10 A' 1193 1147 3.95      
11 A' 1156 1111 2.67      
12 A' 1109 1066 23.93      
13 A' 1087 1045 32.32      
14 A' 949 912 1.72      
15 A' 908 873 8.26      
16 A" 887 852 3.48      
17 A" 833 801 31.31      
18 A" 745 716 38.76      
19 A" 690 663 4.33      
20 A" 655 630 10.52      
21 A" 545 523 88.07      

Unscaled Zero Point Vibrational Energy (zpe) 15749.7 cm-1
Scaled (by 0.961) Zero Point Vibrational Energy (zpe) 15135.4 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/cc-pVTZ
ABC
0.32915 0.31703 0.16149

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/cc-pVTZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.097 0.000
C2 -1.083 0.282 0.000
C3 1.112 0.299 0.000
N4 -0.737 -0.979 0.000
C5 0.631 -0.979 0.000
H6 -0.010 2.101 0.000
H7 -2.093 0.661 0.000
H8 2.110 0.701 0.000
H9 1.195 -1.898 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.35561.36892.20322.16991.00382.13792.14723.2249
C21.35562.19461.30692.12722.11241.07913.22043.1525
C31.36892.19462.24751.36512.12283.22511.07652.1983
N42.20321.30692.24751.36823.16472.12773.30622.1397
C52.16992.12721.36511.36823.14593.17942.23851.0784
H61.00382.11242.12283.16473.14592.53252.54064.1766
H72.13791.07913.22512.12773.17942.53254.20344.1664
H82.14723.22041.07653.30622.23852.54064.20342.7555
H93.22493.15252.19832.13971.07844.17664.16642.7555

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 111.671 N1 C2 H7 122.414
N1 C3 C5 105.062 N1 C3 H8 122.366
C2 N1 C3 107.315 C2 N1 H6 126.446
C2 N4 C5 105.328 C3 N1 H6 126.239
C3 C5 N4 110.625 C3 C5 H9 127.836
N4 C2 H7 125.915 N4 C5 H9 121.539
C5 C3 H8 132.572
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.030      
2 C -0.038      
3 C -0.148      
4 N -0.208      
5 C -0.117      
6 H 0.158      
7 H 0.125      
8 H 0.132      
9 H 0.125      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.087 3.558 0.000 3.720
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.493 -3.199 0.000
y -3.199 -25.369 0.000
z 0.000 0.000 -31.611
Traceless
 xyz
x 1.997 -3.199 0.000
y -3.199 3.683 0.000
z 0.000 0.000 -5.679
Polar
3z2-r2-11.359
x2-y2-1.124
xy-3.199
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.763 -0.152 0.000
y -0.152 7.394 0.000
z 0.000 0.000 3.992


<r2> (average value of r2) Å2
<r2> 79.125
(<r2>)1/2 8.895