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All results from a given calculation for C3H4N2 (4H-Imidazole)

using model chemistry: HSEh1PBE/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 HSEh1PBE/3-21G
 hartrees
Energy at 0K-224.680318
Energy at 298.15K-224.686227
HF Energy-224.680318
Nuclear repulsion energy158.796392
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 HSEh1PBE/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' 3296 3175 7.41      
2 A' 3261 3142 3.67      
3 A' 3099 2986 0.37      
4 A' 1595 1537 26.45      
5 A' 1518 1462 7.32      
6 A' 1441 1388 24.49      
7 A' 1307 1259 16.85      
8 A' 1293 1246 3.21      
9 A' 1249 1203 16.92      
10 A' 1000 963 51.79      
11 A' 956 921 1.01      
12 A' 919 885 4.13      
13 A' 865 833 14.93      
14 A' 837 806 12.03      
15 A" 3146 3031 0.06      
16 A" 1184 1141 0.05      
17 A" 1013 976 22.15      
18 A" 978 942 1.61      
19 A" 771 743 13.57      
20 A" 583 561 20.65      
21 A" 377 363 14.31      

Unscaled Zero Point Vibrational Energy (zpe) 15343.5 cm-1
Scaled (by 0.9633) Zero Point Vibrational Energy (zpe) 14780.4 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 HSEh1PBE/3-21G
ABC
0.31094 0.28724 0.15367

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/3-21G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.214 0.346 0.000
C2 0.000 1.162 0.000
N3 1.123 0.525 0.000
C4 0.742 -0.919 0.000
C5 -0.768 -0.874 0.000
H6 -0.095 2.236 0.000
H7 1.155 -1.405 0.891
H8 1.155 -1.405 -0.891
H9 -1.422 -1.735 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.46242.34322.32911.29862.19643.07743.07742.0908
C21.46241.29062.20942.17571.07822.95242.95243.2266
N32.34321.29061.49402.35222.09952.12642.12643.4033
C42.32912.20941.49401.51063.26421.09601.09602.3123
C51.29862.17572.35221.51063.18182.18522.18521.0810
H62.19641.07822.09953.26423.18183.95113.95114.1864
H73.07742.95242.12641.09602.18523.95111.78292.7468
H83.07742.95242.12641.09602.18523.95111.78292.7468
H92.09083.22663.40332.31231.08104.18642.74682.7468

picture of 4H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 N3 116.536 N1 C2 H6 118.877
N1 C5 C4 111.794 N1 C5 H9 122.705
C2 N1 C5 103.846 C2 N3 C4 104.780
N3 C2 H6 124.586 N3 C4 C5 103.044
N3 C4 H7 109.405 N3 C4 H8 109.405
C4 C5 H9 125.501 C5 C4 H7 112.969
C5 C4 H8 112.969 H7 C4 H8 108.852
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.450      
2 C 0.161      
3 N -0.428      
4 C -0.394      
5 C 0.029      
6 H 0.263      
7 H 0.285      
8 H 0.285      
9 H 0.250      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.202 -2.153 0.000 2.163
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.280 -0.771 0.000
y -0.771 -23.392 0.000
z 0.000 0.000 -29.063
Traceless
 xyz
x -9.053 -0.771 0.000
y -0.771 8.780 0.000
z 0.000 0.000 0.273
Polar
3z2-r20.546
x2-y2-11.888
xy-0.771
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.484 -0.389 0.000
y -0.389 6.836 0.000
z 0.000 0.000 2.975


<r2> (average value of r2) Å2
<r2> 83.006
(<r2>)1/2 9.111