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

using model chemistry: SVWN/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 SVWN/6-31G(2df,p)
 hartrees
Energy at 0K-224.310016
Energy at 298.15K-224.314333
HF Energy-224.310016
Nuclear repulsion energy153.540155
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 SVWN/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 3159 3113 2.69      
2 A1 3152 3105 5.29      
3 A1 1449 1428 32.21      
4 A1 1288 1268 41.06      
5 A1 1187 1170 21.53      
6 A1 983 968 1.75      
7 A1 895 882 4.74      
8 A2 862 849 0.00      
9 A2 546 538 0.00      
10 B1 863 851 0.17      
11 B1 692 682 23.64      
12 B1 441 435 19.23      
13 B2 3144 3097 0.07      
14 B2 1506 1484 14.10      
15 B2 1242 1224 0.42      
16 B2 1173 1156 0.04      
17 B2 1032 1017 94.48      
18 B2 816 804 0.12      

Unscaled Zero Point Vibrational Energy (zpe) 12215.7 cm-1
Scaled (by 0.9852) Zero Point Vibrational Energy (zpe) 12034.9 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 SVWN/6-31G(2df,p)
ABC
0.35787 0.30877 0.16575

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.088
N2 0.000 1.161 0.372
N3 0.000 -1.161 0.372
C4 0.000 0.732 -0.871
C5 0.000 -0.732 -0.871
H6 0.000 0.000 2.182
H7 0.000 1.408 -1.731
H8 0.000 -1.408 -1.731

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.36381.36382.09142.09141.09423.15063.1506
N21.36382.32171.31502.26472.15042.11723.3194
N31.36382.32172.26471.31502.15043.31942.1172
C42.09141.31502.26471.46423.13991.09322.3059
C52.09142.26471.31501.46423.13992.30591.0932
H61.09422.15042.15043.13993.13994.15844.1584
H73.15062.11723.31941.09322.30594.15842.8153
H83.15063.31942.11722.30591.09324.15842.8153

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 102.635 C1 N3 C5 102.635
N2 C1 N3 116.676 N2 C1 H6 121.662
N2 C4 C5 109.027 N2 C4 H7 122.808
N3 C1 H6 121.662 N3 C5 C4 109.027
N3 C5 H8 122.808 C4 C5 H8 128.165
C5 C4 H7 128.165
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at SVWN/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.003      
2 N -0.158      
3 N -0.158      
4 C -0.092      
5 C -0.092      
6 H 0.171      
7 H 0.166      
8 H 0.166      


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 -1.513 1.513
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.701 0.000 0.000
y 0.000 -33.373 0.000
z 0.000 0.000 -22.175
Traceless
 xyz
x -0.926 0.000 0.000
y 0.000 -7.936 0.000
z 0.000 0.000 8.862
Polar
3z2-r217.724
x2-y24.673
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.074 0.000 0.000
y 0.000 6.184 0.000
z 0.000 0.000 7.514


<r2> (average value of r2) Å2
<r2> 75.699
(<r2>)1/2 8.701