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

using model chemistry: M06-2X/aug-cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at M06-2X/aug-cc-pVDZ
 hartrees
Energy at 0K-226.133996
Energy at 298.15K-226.139934
HF Energy-226.133996
Nuclear repulsion energy160.831383
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 M06-2X/aug-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 A' 3233 3233 7.37      
2 A' 3220 3220 5.93      
3 A' 3068 3068 1.87      
4 A' 1698 1698 51.15      
5 A' 1603 1603 14.71      
6 A' 1379 1379 22.76      
7 A' 1328 1328 34.26      
8 A' 1310 1310 4.33      
9 A' 1250 1250 4.33      
10 A' 1057 1057 47.97      
11 A' 1026 1026 24.58      
12 A' 953 953 3.10      
13 A' 891 891 3.37      
14 A' 884 884 12.64      
15 A" 3111 3111 0.10      
16 A" 1149 1149 0.32      
17 A" 1010 1010 16.83      
18 A" 978 978 1.11      
19 A" 753 753 5.20      
20 A" 569 569 22.65      
21 A" 357 357 6.16      

Unscaled Zero Point Vibrational Energy (zpe) 15412.0 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15412.0 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 M06-2X/aug-cc-pVDZ
ABC
0.32103 0.29398 0.15800

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/aug-cc-pVDZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.197 0.355 0.000
C2 0.000 1.136 0.000
N3 1.113 0.504 0.000
C4 0.733 -0.899 0.000
C5 -0.764 -0.855 0.000
H6 -0.073 2.222 0.000
H7 1.142 -1.408 0.885
H8 1.142 -1.408 -0.885
H9 -1.436 -1.714 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.42902.31492.30131.28532.17863.05953.05952.0828
C21.42901.28042.16262.13281.08832.92542.92543.1910
N32.31491.28041.45292.31772.08832.10662.10663.3786
C42.30132.16261.45291.49793.22291.10001.10002.3168
C51.28532.13282.31771.49793.15352.17302.17301.0900
H62.17861.08832.08833.22293.15353.92873.92874.1647
H73.05952.92542.10661.10002.17303.92871.77032.7422
H83.05952.92542.10661.10002.17303.92871.77032.7422
H92.08283.19103.37862.31681.09004.16472.74222.7422

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 117.283 N1 C2 H6 119.252
N1 C5 C4 111.328 N1 C5 H9 122.316
C2 N1 C5 103.456 C2 N3 C4 104.417
N3 C2 H6 123.465 N3 C4 C5 103.515
N3 C4 H7 110.458 N3 C4 H8 110.458
C4 C5 H9 126.356 C5 C4 H7 112.635
C5 C4 H8 112.635 H7 C4 H8 107.168
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.356      
2 C 0.517      
3 N -0.283      
4 C 0.962      
5 C 0.340      
6 H -0.254      
7 H -0.295      
8 H -0.295      
9 H -0.335      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.032 -2.090 0.000 2.090
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.566 -0.623 0.000
y -0.623 -23.950 0.000
z 0.000 0.000 -29.316
Traceless
 xyz
x -8.933 -0.623 0.000
y -0.623 8.491 0.000
z 0.000 0.000 0.442
Polar
3z2-r20.884
x2-y2-11.616
xy-0.623
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.462 -0.301 0.000
y -0.301 8.142 0.000
z 0.000 0.000 4.924


<r2> (average value of r2) Å2
<r2> 81.638
(<r2>)1/2 9.035