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All results from a given calculation for C3H4N2 (2H-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 C2V 1A1
Energy calculated at PBE1PBE/cc-pVTZ
 hartrees
Energy at 0K-225.937742
Energy at 298.15K-225.943792
HF Energy-225.937742
Nuclear repulsion energy167.403909
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 A1 3228 3102 15.12      
2 A1 3068 2949 0.15      
3 A1 1726 1658 19.46      
4 A1 1415 1360 0.06      
5 A1 1377 1323 33.54      
6 A1 1264 1214 5.23      
7 A1 1047 1006 1.52      
8 A1 942 905 13.01      
9 A2 1141 1097 0.00      
10 A2 940 903 0.00      
11 A2 555 533 0.00      
12 B1 3105 2984 1.29      
13 B1 1001 962 22.03      
14 B1 834 801 4.52      
15 B1 377 362 37.64      
16 B2 3213 3087 6.01      
17 B2 1799 1728 0.17      
18 B2 1397 1343 35.33      
19 B2 1238 1190 0.78      
20 B2 1085 1043 31.16      
21 B2 937 900 77.85      

Unscaled Zero Point Vibrational Energy (zpe) 15843.9 cm-1
Scaled (by 0.961) Zero Point Vibrational Energy (zpe) 15226.0 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 PBE1PBE/cc-pVTZ
ABC
0.36405 0.30758 0.17216

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.193
N2 0.000 0.996 0.280
N3 0.000 -0.996 0.280
C4 0.000 0.724 -0.940
C5 0.000 -0.724 -0.940
H6 -0.890 0.000 1.828
H7 0.890 0.000 1.828
H8 0.000 1.467 -1.726
H9 0.000 -1.467 -1.726

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35121.35122.25212.25211.09401.09403.26693.2669
N21.35121.99241.24982.10862.04532.04532.06053.1769
N31.35121.99242.10861.24982.04532.04533.17692.0605
C42.25211.24982.10861.44762.99672.99671.08212.3279
C52.25212.10861.24981.44762.99672.99672.32791.0821
H61.09402.04532.04532.99672.99671.78073.94723.9472
H71.09402.04532.04532.99672.99671.78073.94723.9472
H83.26692.06053.17691.08212.32793.94723.94722.9347
H93.26693.17692.06052.32791.08213.94723.94722.9347

picture of 2H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 N2 C4 119.914 C1 N3 C5 119.914
N2 C1 N3 94.995 N2 C1 H6 113.115
N2 C1 H7 113.115 N2 C4 C5 102.589
N2 C4 H8 124.007 N3 C1 H6 113.115
N3 C1 H7 113.115 N3 C5 C4 102.589
N3 C5 H9 124.007 C4 C5 H9 133.404
C5 C4 H8 133.404 H6 C1 H7 108.951
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 C -0.017      
2 N -0.144      
3 N -0.144      
4 C -0.116      
5 C -0.116      
6 H 0.130      
7 H 0.130      
8 H 0.138      
9 H 0.138      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 -0.704 0.704
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.223 0.000 0.000
y 0.000 -34.923 0.000
z 0.000 0.000 -21.703
Traceless
 xyz
x 0.090 0.000 0.000
y 0.000 -9.960 0.000
z 0.000 0.000 9.871
Polar
3z2-r219.741
x2-y26.700
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.232 0.000 0.000
y 0.000 5.955 0.000
z 0.000 0.000 8.293


<r2> (average value of r2) Å2
<r2> 76.616
(<r2>)1/2 8.753