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All results from a given calculation for C3H4N2 (2H-Imidazole)

using model chemistry: HSEh1PBE/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 HSEh1PBE/cc-pVTZ
 hartrees
Energy at 0K-225.957061
Energy at 298.15K-225.963114
HF Energy-225.957061
Nuclear repulsion energy167.410892
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/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 3229 3104 15.59      
2 A1 3066 2947 0.11      
3 A1 1723 1656 19.78      
4 A1 1414 1359 0.04      
5 A1 1378 1325 33.10      
6 A1 1262 1213 5.25      
7 A1 1046 1005 1.65      
8 A1 942 905 12.92      
9 A2 1143 1098 0.00      
10 A2 941 904 0.00      
11 A2 556 534 0.00      
12 B1 3101 2980 1.16      
13 B1 1003 964 21.84      
14 B1 835 802 4.59      
15 B1 379 364 37.68      
16 B2 3214 3089 6.30      
17 B2 1796 1726 0.20      
18 B2 1396 1341 35.17      
19 B2 1239 1191 0.81      
20 B2 1085 1043 31.80      
21 B2 938 901 77.44      

Unscaled Zero Point Vibrational Energy (zpe) 15841.9 cm-1
Scaled (by 0.9611) Zero Point Vibrational Energy (zpe) 15225.7 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/cc-pVTZ
ABC
0.36409 0.30758 0.17217

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/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 1.829
H7 0.890 0.000 1.829
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
C11.35141.35142.25212.25211.09381.09383.26673.2667
N21.35141.99241.24962.10852.04552.04552.06033.1763
N31.35141.99242.10851.24962.04552.04553.17632.0603
C42.25211.24962.10851.44762.99692.99691.08172.3273
C52.25212.10851.24961.44762.99692.99692.32731.0817
H61.09382.04552.04552.99692.99691.77983.94733.9473
H71.09382.04552.04552.99692.99691.77983.94733.9473
H83.26672.06033.17631.08172.32733.94733.94732.9331
H93.26673.17632.06032.32731.08173.94733.94732.9331

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 119.916 C1 N3 C5 119.916
N2 C1 N3 94.986 N2 C1 H6 113.135
N2 C1 H7 113.135 N2 C4 C5 102.591
N2 C4 H8 124.044 N3 C1 H6 113.135
N3 C1 H7 113.135 N3 C5 C4 102.591
N3 C5 H9 124.044 C4 C5 H9 133.365
C5 C4 H8 133.365 H6 C1 H7 108.889
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.011      
2 N -0.145      
3 N -0.145      
4 C -0.111      
5 C -0.111      
6 H 0.127      
7 H 0.127      
8 H 0.135      
9 H 0.135      


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 -0.703 0.703
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.232 0.000 0.000
y 0.000 -34.952 0.000
z 0.000 0.000 -21.726
Traceless
 xyz
x 0.107 0.000 0.000
y 0.000 -9.973 0.000
z 0.000 0.000 9.866
Polar
3z2-r219.733
x2-y26.720
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.233 0.000 0.000
y 0.000 5.963 0.000
z 0.000 0.000 8.301


<r2> (average value of r2) Å2
<r2> 76.625
(<r2>)1/2 8.754