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

using model chemistry: B1B95/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at B1B95/6-31+G**
 hartrees
Energy at 0K-225.478654
Energy at 298.15K-225.483096
HF Energy-225.478654
Nuclear repulsion energy153.651298
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 B1B95/6-31+G**
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 3277 3135 1.17      
2 A1 3268 3127 11.25      
3 A1 1488 1423 26.79      
4 A1 1334 1276 57.33      
5 A1 1196 1144 24.05      
6 A1 1009 965 1.77      
7 A1 918 878 3.04      
8 A2 884 846 0.00      
9 A2 557 533 0.00      
10 B1 889 850 0.02      
11 B1 764 730 27.30      
12 B1 508 486 29.96      
13 B2 3255 3113 0.37      
14 B2 1561 1493 27.11      
15 B2 1304 1248 0.01      
16 B2 1205 1153 5.04      
17 B2 1047 1001 77.06      
18 B2 809 774 0.11      

Unscaled Zero Point Vibrational Energy (zpe) 12636.1 cm-1
Scaled (by 0.9566) Zero Point Vibrational Energy (zpe) 12087.7 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 B1B95/6-31+G**
ABC
0.35866 0.30860 0.16588

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/6-31+G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.089
N2 0.000 1.161 0.371
N3 0.000 -1.161 0.371
C4 0.000 0.733 -0.871
C5 0.000 -0.733 -0.871
H6 0.000 0.000 2.170
H7 0.000 1.400 -1.723
H8 0.000 -1.400 -1.723

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.36521.36522.09242.09241.08153.14133.1413
N21.36522.32291.31412.26552.14142.10803.3088
N31.36522.32292.26551.31412.14143.30882.1080
C42.09241.31412.26551.46613.12841.08222.2970
C52.09242.26551.31411.46613.12842.29701.0822
H61.08152.14142.14143.12843.12844.13764.1376
H73.14132.10803.30881.08222.29704.13762.8000
H83.14133.30882.10802.29701.08224.13762.8000

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 102.683 C1 N3 C5 102.683
N2 C1 N3 116.584 N2 C1 H6 121.708
N2 C4 C5 109.025 N2 C4 H7 122.929
N3 C1 H6 121.708 N3 C5 C4 109.025
N3 C5 H8 122.929 C4 C5 H8 128.046
C5 C4 H7 128.046
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B1B95/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.021      
2 N -0.244      
3 N -0.244      
4 C -0.021      
5 C -0.021      
6 H 0.168      
7 H 0.170      
8 H 0.170      


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 -1.753 1.753
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.512 0.000 0.000
y 0.000 -35.018 0.000
z 0.000 0.000 -22.272
Traceless
 xyz
x -0.868 0.000 0.000
y 0.000 -9.125 0.000
z 0.000 0.000 9.993
Polar
3z2-r219.986
x2-y25.505
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.940 0.000 0.000
y 0.000 6.973 0.000
z 0.000 0.000 7.812


<r2> (average value of r2) Å2
<r2> 76.121
(<r2>)1/2 8.725