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All results from a given calculation for C3H4N2 (2H-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 C2V 1A1
Energy calculated at HSEh1PBE/3-21G*
 hartrees
Energy at 0K-224.600996
Energy at 298.15K-224.607063
HF Energy-224.600996
Nuclear repulsion energy165.969575
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 A1 3291 3159 8.04      
2 A1 3105 2981 1.45      
3 A1 1701 1632 20.86      
4 A1 1439 1381 20.79      
5 A1 1364 1309 1.85      
6 A1 1245 1195 9.53      
7 A1 1038 996 15.27      
8 A1 908 872 6.57      
9 A2 1180 1132 0.00      
10 A2 969 930 0.00      
11 A2 583 559 0.00      
12 B1 3151 3025 1.21      
13 B1 1012 971 21.43      
14 B1 862 828 8.63      
15 B1 385 370 50.15      
16 B2 3274 3143 10.52      
17 B2 1757 1687 0.25      
18 B2 1323 1270 8.99      
19 B2 1258 1208 1.26      
20 B2 1081 1038 31.53      
21 B2 973 934 94.49      

Unscaled Zero Point Vibrational Energy (zpe) 15948.9 cm-1
Scaled (by 0.9599) Zero Point Vibrational Energy (zpe) 15309.4 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
0.35998 0.30008 0.16899

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.214
N2 0.000 0.998 0.282
N3 0.000 -0.998 0.282
C4 0.000 0.736 -0.951
C5 0.000 -0.736 -0.951
H6 -0.898 0.000 1.837
H7 0.898 0.000 1.837
H8 0.000 1.464 -1.746
H9 0.000 -1.464 -1.746

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.36541.36542.28652.28651.09331.09333.30203.3020
N21.36541.99541.26012.12732.05472.05472.08043.1894
N31.36541.99542.12731.26012.05472.05473.18942.0804
C42.28651.26012.12731.47223.02033.02031.07802.3397
C52.28652.12731.26011.47223.02033.02032.33971.0780
H61.09332.05472.05473.02033.02031.79633.97343.9734
H71.09332.05472.05473.02033.02031.79633.97343.9734
H83.30202.08043.18941.07802.33973.97343.97342.9289
H93.30203.18942.08042.33971.07803.97343.97342.9289

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 121.073 C1 N3 C5 121.073
N2 C1 N3 93.887 N2 C1 H6 112.909
N2 C1 H7 112.909 N2 C4 C5 101.983
N2 C4 H8 125.510 N3 C1 H6 112.909
N3 C1 H7 112.909 N3 C5 C4 101.983
N3 C5 H9 125.510 C4 C5 H9 132.507
C5 C4 H8 132.507 H6 C1 H7 110.475
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 C -0.109      
2 N -0.512      
3 N -0.512      
4 C 0.014      
5 C 0.014      
6 H 0.310      
7 H 0.310      
8 H 0.243      
9 H 0.243      


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 -0.298 0.298
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.309 0.000 0.000
y 0.000 -35.140 0.000
z 0.000 0.000 -21.298
Traceless
 xyz
x -0.090 0.000 0.000
y 0.000 -10.337 0.000
z 0.000 0.000 10.426
Polar
3z2-r220.852
x2-y26.831
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.867 0.000 0.000
y 0.000 4.271 0.000
z 0.000 0.000 7.369


<r2> (average value of r2) Å2
<r2> 77.632
(<r2>)1/2 8.811