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

using model chemistry: PBE1PBE/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at PBE1PBE/3-21G*
 hartrees
Energy at 0K-224.661890
Energy at 298.15K-224.667785
HF Energy-224.661890
Nuclear repulsion energy158.731547
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/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 A' 3296 3164 7.14      
2 A' 3262 3130 3.49      
3 A' 3098 2973 0.44      
4 A' 1594 1530 26.15      
5 A' 1517 1456 7.20      
6 A' 1439 1381 24.67      
7 A' 1306 1254 16.98      
8 A' 1292 1240 3.27      
9 A' 1248 1198 16.89      
10 A' 1000 960 51.76      
11 A' 956 918 0.94      
12 A' 920 883 4.13      
13 A' 865 830 15.53      
14 A' 838 804 11.21      
15 A" 3146 3019 0.08      
16 A" 1183 1136 0.04      
17 A" 1012 972 22.68      
18 A" 977 938 1.78      
19 A" 770 739 13.61      
20 A" 582 558 20.78      
21 A" 375 360 14.38      

Unscaled Zero Point Vibrational Energy (zpe) 15337.5 cm-1
Scaled (by 0.9598) Zero Point Vibrational Energy (zpe) 14720.9 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/3-21G*
ABC
0.31077 0.28692 0.15355

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/3-21G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.215 0.346 0.000
C2 0.000 1.162 0.000
N3 1.123 0.525 0.000
C4 0.742 -0.920 0.000
C5 -0.768 -0.874 0.000
H6 -0.094 2.236 0.000
H7 1.155 -1.405 0.892
H8 1.155 -1.405 -0.892
H9 -1.423 -1.735 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.46312.34482.33041.29922.19723.07863.07862.0914
C21.46311.29132.21002.17621.07852.95282.95283.2274
N32.34481.29131.49452.35322.10012.12672.12673.4047
C42.33042.21001.49451.51113.26501.09631.09632.3133
C51.29922.17622.35321.51113.18262.18582.18581.0813
H62.19721.07852.10013.26503.18263.95173.95174.1875
H73.07862.95282.12671.09632.18583.95171.78412.7478
H83.07862.95282.12671.09632.18583.95171.78412.7478
H92.09143.22743.40472.31331.08134.18752.74782.7478

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 116.570 N1 C2 H6 118.871
N1 C5 C4 111.813 N1 C5 H9 122.672
C2 N1 C5 103.805 C2 N3 C4 104.756
N3 C2 H6 124.559 N3 C4 C5 103.056
N3 C4 H7 109.382 N3 C4 H8 109.382
C4 C5 H9 125.515 C5 C4 H7 112.952
C5 C4 H8 112.952 H7 C4 H8 108.914
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.452      
2 C 0.160      
3 N -0.429      
4 C -0.398      
5 C 0.026      
6 H 0.265      
7 H 0.287      
8 H 0.287      
9 H 0.253      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.201 -2.159 0.000 2.169
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.308 -0.771 0.000
y -0.771 -23.376 0.000
z 0.000 0.000 -29.098
Traceless
 xyz
x -9.071 -0.771 0.000
y -0.771 8.827 0.000
z 0.000 0.000 0.244
Polar
3z2-r20.487
x2-y2-11.932
xy-0.771
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.495 -0.389 0.000
y -0.389 6.842 0.000
z 0.000 0.000 2.980


<r2> (average value of r2) Å2
<r2> 83.066
(<r2>)1/2 9.114