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

using model chemistry: G4

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at G4
 hartrees
Energy at 0K-225.448770
Energy at 298.15K-225.444088
HF Energy-225.569450
Nuclear repulsion energy153.073019
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 B3LYP/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 3234 3120 0.94      
2 A1 3227 3114 15.59      
3 A1 1443 1392 20.78      
4 A1 1316 1270 48.01      
5 A1 1167 1126 28.55      
6 A1 987 953 2.33      
7 A1 917 884 3.04      
8 A2 892 860 0.00      
9 A2 568 548 0.00      
10 B1 881 850 0.53      
11 B1 764 737 15.67      
12 B1 518 500 26.42      
13 B2 3213 3100 1.40      
14 B2 1529 1476 16.99      
15 B2 1291 1245 0.00      
16 B2 1191 1150 4.74      
17 B2 1016 980 75.43      
18 B2 785 758 0.41      

Unscaled Zero Point Vibrational Energy (zpe) 12468.3 cm-1
Scaled (by 0.965) Zero Point Vibrational Energy (zpe) 12031.9 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 B3LYP/6-31G(2df,p)
ABC
0.35598 0.30617 0.16460

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G(2df,p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.095
N2 0.000 1.166 0.372
N3 0.000 -1.166 0.372
C4 0.000 0.737 -0.874
C5 0.000 -0.737 -0.874
H6 0.000 0.000 2.177
H7 0.000 1.403 -1.728
H8 0.000 -1.403 -1.728

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.37181.37182.10202.10201.08293.15203.1520
N21.37182.33171.31762.27412.14952.11283.3178
N31.37182.33172.27411.31762.14953.31782.1128
C42.10201.31762.27411.47343.13931.08312.3039
C52.10202.27411.31761.47343.13932.30391.0831
H61.08292.14952.14953.13933.13934.14984.1498
H73.15202.11283.31781.08312.30394.14982.8065
H83.15203.31782.11282.30391.08314.14982.8065

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 103.058 C1 N3 C5 103.058
N2 C1 N3 116.305 N2 C1 H6 121.848
N2 C4 C5 108.789 N2 C4 H7 123.264
N3 C1 H6 121.848 N3 C5 C4 108.789
N3 C5 H8 123.264 C4 C5 H8 127.947
C5 C4 H7 127.947
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.086      
2 N -0.223      
3 N -0.223      
4 C -0.030      
5 C -0.030      
6 H 0.144      
7 H 0.138      
8 H 0.138      


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 -1.585 1.585
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 0.000 0.000 0.000
y 0.000 0.000 0.000
z 0.000 0.000 0.000


<r2> (average value of r2) Å2
<r2> 76.071
(<r2>)1/2 8.722