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

using model chemistry: HSEh1PBE/cc-pVDZ

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-pVDZ
 hartrees
Energy at 0K-225.891822
Energy at 298.15K-225.897843
HF Energy-225.891822
Nuclear repulsion energy166.814876
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-pVDZ
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 3244 3120 12.82      
2 A1 3079 2962 0.15      
3 A1 1745 1678 15.92      
4 A1 1420 1366 0.07      
5 A1 1355 1303 32.94      
6 A1 1274 1225 5.32      
7 A1 1048 1008 1.34      
8 A1 936 900 14.41      
9 A2 1131 1088 0.00      
10 A2 926 891 0.00      
11 A2 550 529 0.00      
12 B1 3125 3006 0.64      
13 B1 991 953 19.36      
14 B1 823 792 4.09      
15 B1 371 356 36.68      
16 B2 3227 3104 6.94      
17 B2 1815 1745 0.23      
18 B2 1406 1353 41.50      
19 B2 1223 1176 0.41      
20 B2 1085 1043 25.01      
21 B2 931 896 80.33      

Unscaled Zero Point Vibrational Energy (zpe) 15852.0 cm-1
Scaled (by 0.9619) Zero Point Vibrational Energy (zpe) 15248.0 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 HSEh1PBE/cc-pVDZ
ABC
0.36262 0.30476 0.17102

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.197
N2 0.000 0.996 0.282
N3 0.000 -0.996 0.282
C4 0.000 0.726 -0.945
C5 0.000 -0.726 -0.945
H6 -0.896 0.000 1.838
H7 0.896 0.000 1.838
H8 0.000 1.481 -1.733
H9 0.000 -1.481 -1.733

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35281.35282.26132.26131.10171.10173.28253.2825
N21.35281.99281.25602.11452.05382.05382.07193.1929
N31.35281.99282.11451.25602.05382.05383.19292.0719
C42.26131.25602.11451.45193.01253.01251.09112.3432
C52.26132.11451.25601.45193.01253.01252.34321.0911
H61.10172.05382.05383.01253.01251.79123.96843.9684
H71.10172.05382.05383.01253.01251.79123.96843.9684
H83.28252.07193.19291.09112.34323.96843.96842.9616
H93.28253.19292.07192.34321.09113.96843.96842.9616

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 120.129 C1 N3 C5 120.129
N2 C1 N3 94.875 N2 C1 H6 113.198
N2 C1 H7 113.198 N2 C4 C5 102.434
N2 C4 H8 123.795 N3 C1 H6 113.198
N3 C1 H7 113.198 N3 C5 C4 102.434
N3 C5 H9 123.795 C4 C5 H9 133.771
C5 C4 H8 133.771 H6 C1 H7 108.765
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.163      
2 N -0.218      
3 N -0.218      
4 C 0.014      
5 C 0.014      
6 H 0.093      
7 H 0.093      
8 H 0.030      
9 H 0.030      


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 -0.494 0.494
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.943 0.000 0.000
y 0.000 -34.195 0.000
z 0.000 0.000 -21.752
Traceless
 xyz
x 0.030 0.000 0.000
y 0.000 -9.347 0.000
z 0.000 0.000 9.317
Polar
3z2-r218.634
x2-y26.251
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.571 0.000 0.000
y 0.000 5.160 0.000
z 0.000 0.000 8.009


<r2> (average value of r2) Å2
<r2> 76.859
(<r2>)1/2 8.767