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

using model chemistry: TPSSh/cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at TPSSh/cc-pVDZ
 hartrees
Energy at 0K-225.592714
Energy at 298.15K-225.597115
HF Energy-225.592714
Nuclear repulsion energy152.395210
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 TPSSh/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 A1 3229 3139 2.89      
2 A1 3220 3131 16.31      
3 A1 1450 1410 18.19      
4 A1 1303 1267 46.58      
5 A1 1156 1124 27.64      
6 A1 986 959 2.53      
7 A1 901 876 3.69      
8 A2 879 855 0.00      
9 A2 558 542 0.00      
10 B1 864 841 0.22      
11 B1 752 731 20.33      
12 B1 502 488 25.14      
13 B2 3204 3116 2.51      
14 B2 1526 1484 21.62      
15 B2 1278 1243 0.00      
16 B2 1179 1147 5.84      
17 B2 1010 982 70.86      
18 B2 782 760 0.03      

Unscaled Zero Point Vibrational Energy (zpe) 12388.4 cm-1
Scaled (by 0.9724) Zero Point Vibrational Energy (zpe) 12046.5 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 TPSSh/cc-pVDZ
ABC
0.35434 0.30239 0.16316

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.095
N2 0.000 1.175 0.374
N3 0.000 -1.175 0.374
C4 0.000 0.738 -0.876
C5 0.000 -0.738 -0.876
H6 0.000 0.000 2.185
H7 0.000 1.412 -1.735
H8 0.000 -1.412 -1.735

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.37831.37832.10452.10451.09083.16233.1623
N21.37832.34981.32422.28512.15922.12203.3375
N31.37832.34982.28511.32422.15923.33752.1220
C42.10451.32422.28511.47593.14931.09172.3152
C52.10452.28511.32421.47593.14932.31521.0917
H61.09082.15922.15923.14933.14934.16694.1669
H73.16232.12203.33751.09172.31524.16692.8243
H83.16233.33752.12202.31521.09174.16692.8243

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 102.263 C1 N3 C5 102.263
N2 C1 N3 116.944 N2 C1 H6 121.528
N2 C4 C5 109.265 N2 C4 H7 122.596
N3 C1 H6 121.528 N3 C5 C4 109.265
N3 C5 H8 122.596 C4 C5 H8 128.139
C5 C4 H7 128.139
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.210      
2 N -0.236      
3 N -0.236      
4 C 0.079      
5 C 0.079      
6 H 0.043      
7 H 0.031      
8 H 0.031      


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 -2.017 2.017
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.880 0.000 0.000
y 0.000 6.044 0.000
z 0.000 0.000 7.538


<r2> (average value of r2) Å2
<r2> 76.668
(<r2>)1/2 8.756