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

using model chemistry: mPW1PW91/aug-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 mPW1PW91/aug-cc-pVDZ
 hartrees
Energy at 0K-225.534075
Energy at 298.15K-225.538549
HF Energy-225.534075
Nuclear repulsion energy153.186100
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 mPW1PW91/aug-cc-pVDZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1 3263 3127 1.07      
2 A1 3254 3118 11.56      
3 A1 1475 1414 22.47      
4 A1 1321 1266 53.04      
5 A1 1189 1140 23.93      
6 A1 1005 963 1.31      
7 A1 920 882 3.06      
8 A2 890 853 0.00      
9 A2 563 539 0.00      
10 B1 889 852 0.09      
11 B1 770 738 24.08      
12 B1 522 500 29.87      
13 B2 3239 3104 0.32      
14 B2 1543 1479 23.84      
15 B2 1290 1237 0.00      
16 B2 1190 1141 5.47      
17 B2 1042 998 69.84      
18 B2 809 776 0.05      

Unscaled Zero Point Vibrational Energy (zpe) 12587.6 cm-1
Scaled (by 0.9583) Zero Point Vibrational Energy (zpe) 12062.7 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 mPW1PW91/aug-cc-pVDZ
ABC
0.35594 0.30723 0.16490

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/aug-cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.094
N2 0.000 1.163 0.372
N3 0.000 -1.163 0.372
C4 0.000 0.736 -0.874
C5 0.000 -0.736 -0.874
H6 0.000 0.000 2.180
H7 0.000 1.406 -1.731
H8 0.000 -1.406 -1.731

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.36911.36912.10062.10061.08683.15523.1552
N21.36912.32661.31712.27102.15052.11663.3201
N31.36912.32662.27101.31712.15053.32012.1166
C42.10061.31712.27101.47113.14171.08812.3067
C52.10062.27101.31711.47113.14172.30671.0881
H61.08682.15052.15053.14173.14174.15644.1564
H73.15522.11663.32011.08812.30674.15642.8121
H83.15523.32012.11662.30671.08814.15642.8121

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 102.871 C1 N3 C5 102.871
N2 C1 N3 116.358 N2 C1 H6 121.821
N2 C4 C5 108.950 N2 C4 H7 123.008
N3 C1 H6 121.821 N3 C5 C4 108.950
N3 C5 H8 123.008 C4 C5 H8 128.041
C5 C4 H7 128.041
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.559      
2 N -0.431      
3 N -0.431      
4 C 0.459      
5 C 0.459      
6 H -0.128      
7 H -0.243      
8 H -0.243      


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 -1.740 1.740
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.544 0.000 0.000
y 0.000 -34.746 0.000
z 0.000 0.000 -22.201
Traceless
 xyz
x -1.071 0.000 0.000
y 0.000 -8.874 0.000
z 0.000 0.000 9.944
Polar
3z2-r219.889
x2-y25.202
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.481 0.000 0.000
y 0.000 7.304 0.000
z 0.000 0.000 8.155


<r2> (average value of r2) Å2
<r2> 76.422
(<r2>)1/2 8.742