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All results from a given calculation for C3H3N2 (imidazolyl radical)

using model chemistry: M06-2X/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at M06-2X/6-31G(2df,p)
 hartrees
Energy at 0K-225.475855
Energy at 298.15K-225.480351
HF Energy-225.475855
Nuclear repulsion energy153.638058
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/6-31G(2df,p)
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1 3260 3104 2.19      
2 A1 3252 3098 11.47      
3 A1 1495 1424 31.86      
4 A1 1334 1270 57.78      
5 A1 1194 1138 34.68      
6 A1 1012 964 2.30      
7 A1 924 880 3.82      
8 A2 929 885 0.00      
9 A2 577 549 0.00      
10 B1 904 861 0.97      
11 B1 807 769 16.73      
12 B1 531 505 30.55      
13 B2 3244 3089 0.28      
14 B2 1571 1496 18.06      
15 B2 1293 1231 0.03      
16 B2 1203 1146 4.19      
17 B2 1034 985 79.44      
18 B2 785 747 0.73      

Unscaled Zero Point Vibrational Energy (zpe) 12673.8 cm-1
Scaled (by 0.9524) Zero Point Vibrational Energy (zpe) 12070.5 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/6-31G(2df,p)
ABC
0.35892 0.30819 0.16581

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-31G(2df,p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.090
N2 0.000 1.162 0.370
N3 0.000 -1.162 0.370
C4 0.000 0.734 -0.870
C5 0.000 -0.734 -0.870
H6 0.000 0.000 2.171
H7 0.000 1.399 -1.724
H8 0.000 -1.399 -1.724

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.36671.36672.09272.09271.08193.14233.1423
N21.36672.32391.31162.26582.14372.10753.3080
N31.36672.32392.26581.31162.14373.30802.1075
C42.09271.31162.26581.46883.12891.08222.2979
C52.09272.26581.31161.46883.12892.29791.0822
H61.08192.14372.14373.12893.12894.13924.1392
H73.14232.10753.30801.08222.29794.13922.7977
H83.14233.30802.10752.29791.08224.13922.7977

picture of imidazolyl radical state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 N2 C4 102.749 C1 N3 C5 102.749
N2 C1 N3 116.456 N2 C1 H6 121.772
N2 C4 C5 109.023 N2 C4 H7 123.098
N3 C1 H6 121.772 N3 C5 C4 109.023
N3 C5 H8 123.098 C4 C5 H8 127.879
C5 C4 H7 127.879
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.084      
2 N -0.243      
3 N -0.243      
4 C -0.048      
5 C -0.048      
6 H 0.170      
7 H 0.164      
8 H 0.164      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 -1.562 1.562
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.856 0.000 0.000
y 0.000 -33.640 0.000
z 0.000 0.000 -21.924
Traceless
 xyz
x -1.074 0.000 0.000
y 0.000 -8.250 0.000
z 0.000 0.000 9.324
Polar
3z2-r218.648
x2-y24.785
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.040 0.000 0.000
y 0.000 6.006 0.000
z 0.000 0.000 7.463


<r2> (average value of r2) Å2
<r2> 75.647
(<r2>)1/2 8.698