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All results from a given calculation for C3H4N2 (4H-Imidazole)

using model chemistry: B2PLYP/cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B2PLYP/cc-pVTZ
 hartrees
Energy at 0K-226.085701
Energy at 298.15K-226.091641
HF Energy-225.797892
Nuclear repulsion energy160.923337
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 B2PLYP/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 A' 3233 3101 10.62      
2 A' 3210 3079 8.10      
3 A' 3061 2937 2.03      
4 A' 1631 1565 39.65      
5 A' 1535 1472 8.69      
6 A' 1412 1355 20.04      
7 A' 1325 1271 25.42      
8 A' 1309 1256 5.43      
9 A' 1267 1215 7.06      
10 A' 1035 993 58.80      
11 A' 997 957 10.49      
12 A' 946 908 3.53      
13 A' 881 845 1.31      
14 A' 880 844 16.28      
15 A" 3095 2970 0.80      
16 A" 1167 1120 0.44      
17 A" 1009 969 14.57      
18 A" 970 930 1.07      
19 A" 757 727 5.61      
20 A" 568 545 21.08      
21 A" 372 357 5.90      

Unscaled Zero Point Vibrational Energy (zpe) 15329.5 cm-1
Scaled (by 0.9594) Zero Point Vibrational Energy (zpe) 14707.1 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 B2PLYP/cc-pVTZ
ABC
0.32134 0.29419 0.15805

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/cc-pVTZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.197 0.352 0.000
C2 0.000 1.138 0.000
N3 1.111 0.507 0.000
C4 0.736 -0.899 0.000
C5 -0.766 -0.856 0.000
H6 -0.080 2.215 0.000
H7 1.141 -1.406 0.878
H8 1.141 -1.406 -0.878
H9 -1.426 -1.713 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.43112.31292.30261.28292.17163.05423.05422.0779
C21.43111.27752.16592.13551.08042.92302.92303.1873
N32.31291.27751.45572.31962.08222.10562.10563.3715
C42.30262.16591.45571.50243.21951.09191.09192.3105
C51.28292.13552.31961.50243.14652.17022.17021.0820
H62.17161.08042.08223.21953.14653.92113.92114.1521
H73.05422.92302.10561.09192.17023.92111.75682.7308
H83.05422.92302.10561.09192.17023.92111.75682.7308
H92.07793.18733.37152.31051.08204.15212.73082.7308

picture of 4H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 N3 117.160 N1 C2 H6 119.029
N1 C5 C4 111.283 N1 C5 H9 122.736
C2 N1 C5 103.647 C2 N3 C4 104.638
N3 C2 H6 123.812 N3 C4 C5 103.272
N3 C4 H7 110.669 N3 C4 H8 110.669
C4 C5 H9 125.982 C5 C4 H7 112.582
C5 C4 H8 112.582 H7 C4 H8 107.113
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.208      
2 C 0.035      
3 N -0.236      
4 C -0.054      
5 C -0.065      
6 H 0.138      
7 H 0.117      
8 H 0.117      
9 H 0.156      


Electric dipole moments


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.774 -0.311 0.000
y -0.311 7.779 0.000
z 0.000 0.000 4.349


<r2> (average value of r2) Å2
<r2> 81.454
(<r2>)1/2 9.025