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All results from a given calculation for C3H4N2 (1H-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-226.163827
Energy at 298.15K-226.169875
HF Energy-226.163827
Nuclear repulsion energy163.330871
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' 3690 3690 81.81      
2 A' 3290 3290 0.78      
3 A' 3268 3268 2.32      
4 A' 3262 3262 1.11      
5 A' 1587 1587 11.34      
6 A' 1528 1528 21.78      
7 A' 1466 1466 13.78      
8 A' 1394 1394 6.56      
9 A' 1280 1280 0.61      
10 A' 1192 1192 4.76      
11 A' 1149 1149 3.69      
12 A' 1106 1106 26.19      
13 A' 1084 1084 31.11      
14 A' 946 946 1.86      
15 A' 906 906 6.11      
16 A" 895 895 5.19      
17 A" 841 841 31.26      
18 A" 744 744 47.03      
19 A" 685 685 3.62      
20 A" 653 653 10.28      
21 A" 569 569 93.71      

Unscaled Zero Point Vibrational Energy (zpe) 15766.1 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15766.1 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/aug-cc-pVDZ
ABC
0.32593 0.31415 0.15997

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 0.000 1.102 0.000
C2 -1.089 0.282 0.000
C3 1.117 0.301 0.000
N4 -0.741 -0.983 0.000
C5 0.634 -0.984 0.000
H6 -0.013 2.110 0.000
H7 -2.103 0.664 0.000
H8 2.121 0.705 0.000
H9 1.202 -1.907 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.36251.37472.21272.17991.00802.14842.15793.2400
C21.36252.20581.31262.13802.12041.08393.23733.1684
C31.37472.20582.25831.37252.13313.24081.08202.2095
N42.21271.31262.25831.37473.17742.13753.32232.1508
C52.17992.13801.37251.37473.16063.19492.24991.0838
H61.00802.12042.13313.17743.16062.54172.55524.1966
H72.14841.08393.24082.13753.19492.54174.22454.1870
H82.15793.23731.08203.32232.24992.55524.22452.7688
H93.24003.16842.20952.15081.08384.19664.18702.7688

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 111.599 N1 C2 H7 122.439
N1 C3 C5 105.033 N1 C3 H8 122.447
C2 N1 C3 107.388 C2 N1 H6 126.225
C2 N4 C5 105.398 C3 N1 H6 126.387
C3 C5 N4 110.582 C3 C5 H9 127.813
N4 C2 H7 125.962 N4 C5 H9 121.605
C5 C3 H8 132.520
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 -0.077      
2 C 0.505      
3 C 0.739      
4 N -0.368      
5 C 0.433      
6 H -0.160      
7 H -0.284      
8 H -0.413      
9 H -0.375      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.135 3.582 0.000 3.758
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.754 -3.388 0.000
y -3.388 -25.891 0.000
z 0.000 0.000 -32.342
Traceless
 xyz
x 2.362 -3.388 0.000
y -3.388 3.657 0.000
z 0.000 0.000 -6.019
Polar
3z2-r2-12.039
x2-y2-0.863
xy-3.388
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.356 -0.094 0.000
y -0.094 8.001 0.000
z 0.000 0.000 4.924


<r2> (average value of r2) Å2
<r2> 80.030
(<r2>)1/2 8.946