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All results from a given calculation for C3H4N2 (1H-Imidazole)

using model chemistry: M06-2X/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 M06-2X/3-21G*
 hartrees
Energy at 0K-224.859837
Energy at 298.15K-224.865986
HF Energy-224.859837
Nuclear repulsion energy161.871069
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/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' 3644 3451 86.31      
2 A' 3359 3182 0.88      
3 A' 3327 3152 0.98      
4 A' 3324 3148 0.15      
5 A' 1563 1480 22.44      
6 A' 1495 1416 7.32      
7 A' 1421 1346 14.45      
8 A' 1354 1282 10.56      
9 A' 1303 1234 1.92      
10 A' 1177 1115 1.31      
11 A' 1128 1068 19.26      
12 A' 1113 1054 15.84      
13 A' 1072 1016 27.07      
14 A' 974 923 3.34      
15 A' 929 880 9.53      
16 A" 966 915 2.80      
17 A" 901 853 17.57      
18 A" 816 773 36.53      
19 A" 694 658 10.73      
20 A" 675 640 178.37      
21 A" 661 626 16.03      

Unscaled Zero Point Vibrational Energy (zpe) 15947.1 cm-1
Scaled (by 0.9472) Zero Point Vibrational Energy (zpe) 15105.1 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 M06-2X/3-21G*
ABC
0.31756 0.31037 0.15696

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/3-21G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -0.751 -0.989 0.000
H2 -0.000 2.126 0.000
C3 1.127 0.296 0.000
H4 2.126 0.690 0.000
C5 0.651 -0.991 0.000
H6 1.210 -1.908 0.000
H7 -2.113 0.663 0.000
C8 -1.107 0.287 0.000
N9 0.000 1.113 0.000

Atom - Atom Distances (Å)
  N1 H2 C3 H4 C5 H6 H7 C8 N9
N13.20312.27523.33071.40182.16532.14101.32452.2319
H23.20312.14902.56603.18364.21122.57012.14541.0122
C32.27522.14901.07391.37212.20583.26132.23371.3923
H43.33072.56601.07392.23622.75494.23993.25782.1681
C51.40183.18361.37212.23621.07413.22132.17322.2025
H62.16534.21122.20582.75491.07414.20153.19143.2546
H72.14102.57013.26134.23993.22134.20151.07472.1610
C81.32452.14542.23373.25782.17323.19141.07471.3809
N92.23191.01221.39232.16812.20253.25462.16101.3809

picture of 1H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 N4 69.523 N1 C2 H7 41.760
N1 C3 C5 35.323 N1 C3 H8 34.150
C2 N1 C3 42.078 C2 N1 H6 101.585
C2 N4 C5 82.745 C3 N1 H6 59.507
C3 C5 N4 20.977 C3 C5 H9 37.496
N4 C2 H7 111.283 N4 C5 H9 58.473
C5 C3 H8 69.472
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.513      
2 H 0.347      
3 C 0.020      
4 H 0.234      
5 C -0.088      
6 H 0.220      
7 H 0.243      
8 C 0.279      
9 N -0.742      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.244 3.736 0.000 3.938
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.022 -3.493 0.000
y -3.493 -25.420 0.000
z 0.000 0.000 -32.056
Traceless
 xyz
x 2.716 -3.493 0.000
y -3.493 3.619 0.000
z 0.000 0.000 -6.336
Polar
3z2-r2-12.671
x2-y2-0.602
xy-3.493
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.400 -0.266 0.000
y -0.266 6.191 0.000
z 0.000 0.000 1.882


<r2> (average value of r2) Å2
<r2> 80.794
(<r2>)1/2 8.989