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

using model chemistry: PBE1PBE/6-31G

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/6-31G
 hartrees
Energy at 0K-225.767098
Energy at 298.15K-225.773190
HF Energy-225.767098
Nuclear repulsion energy165.892313
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/6-31G
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 3321 3174 8.34      
2 A1 3122 2985 2.42      
3 A1 1711 1636 21.54      
4 A1 1448 1384 27.49      
5 A1 1396 1334 5.92      
6 A1 1272 1216 10.33      
7 A1 1058 1012 6.13      
8 A1 952 910 9.32      
9 A2 1167 1115 0.00      
10 A2 941 899 0.00      
11 A2 571 545 0.00      
12 B1 3172 3033 1.15      
13 B1 1040 994 17.70      
14 B1 851 813 10.65      
15 B1 401 383 55.30      
16 B2 3303 3157 6.82      
17 B2 1779 1700 0.09      
18 B2 1366 1306 11.55      
19 B2 1273 1217 1.98      
20 B2 1098 1050 38.06      
21 B2 959 917 83.67      

Unscaled Zero Point Vibrational Energy (zpe) 16100.0 cm-1
Scaled (by 0.9559) Zero Point Vibrational Energy (zpe) 15390.0 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/6-31G
ABC
0.36139 0.29896 0.16886

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G

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 0.283
N3 0.000 -0.998 0.283
C4 0.000 0.731 -0.955
C5 0.000 -0.731 -0.955
H6 -0.891 0.000 1.846
H7 0.891 0.000 1.846
H8 0.000 1.471 -1.739
H9 0.000 -1.471 -1.739

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.36421.36422.28862.28861.09301.09303.29923.2992
N21.36421.99521.26672.12602.05752.05752.07723.1915
N31.36421.99522.12601.26672.05752.05753.19152.0772
C42.28861.26672.12601.46123.02933.02931.07872.3374
C52.28862.12601.26671.46123.02933.02932.33741.0787
H61.09302.05752.05753.02933.02931.78263.97703.9770
H71.09302.05752.05753.02933.02931.78263.97703.9770
H83.29922.07723.19151.07872.33743.97703.97702.9427
H93.29923.19152.07722.33741.07873.97703.97702.9427

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 120.842 C1 N3 C5 120.842
N2 C1 N3 93.983 N2 C1 H6 113.256
N2 C1 H7 113.256 N2 C4 C5 102.167
N2 C4 H8 124.464 N3 C1 H6 113.256
N3 C1 H7 113.256 N3 C5 C4 102.167
N3 C5 H9 124.464 C4 C5 H9 133.369
C5 C4 H8 133.369 H6 C1 H7 109.260
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.120      
2 N -0.392      
3 N -0.392      
4 C -0.018      
5 C -0.018      
6 H 0.265      
7 H 0.265      
8 H 0.205      
9 H 0.205      


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 -0.561 0.561
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.142 0.000 0.000
y 0.000 -36.074 0.000
z 0.000 0.000 -21.184
Traceless
 xyz
x 0.486 0.000 0.000
y 0.000 -11.410 0.000
z 0.000 0.000 10.924
Polar
3z2-r221.847
x2-y27.931
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.190 0.000 0.000
y 0.000 4.749 0.000
z 0.000 0.000 7.776


<r2> (average value of r2) Å2
<r2> 77.813
(<r2>)1/2 8.821