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

using model chemistry: mPW1PW91/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/cc-pVDZ
 hartrees
Energy at 0K-225.519911
Energy at 298.15K-225.524375
HF Energy-225.519911
Nuclear repulsion energy153.183436
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/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 3261 3125 1.66      
2 A1 3253 3117 11.33      
3 A1 1488 1426 24.88      
4 A1 1319 1264 49.91      
5 A1 1190 1140 26.80      
6 A1 1003 961 1.94      
7 A1 922 883 4.48      
8 A2 893 856 0.00      
9 A2 568 544 0.00      
10 B1 881 844 0.21      
11 B1 766 734 20.23      
12 B1 518 497 27.57      
13 B2 3238 3103 0.73      
14 B2 1555 1490 22.48      
15 B2 1286 1232 0.02      
16 B2 1189 1140 5.03      
17 B2 1040 996 73.17      
18 B2 809 775 0.09      

Unscaled Zero Point Vibrational Energy (zpe) 12589.2 cm-1
Scaled (by 0.9583) Zero Point Vibrational Energy (zpe) 12064.2 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/cc-pVDZ
ABC
0.35728 0.30618 0.16488

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.090
N2 0.000 1.166 0.372
N3 0.000 -1.166 0.372
C4 0.000 0.736 -0.872
C5 0.000 -0.736 -0.872
H6 0.000 0.000 2.180
H7 0.000 1.408 -1.730
H8 0.000 -1.408 -1.730

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.36941.36942.09562.09561.08963.15223.1522
N21.36942.33191.31632.27232.15122.11583.3234
N31.36942.33192.27231.31632.15123.32342.1158
C42.09561.31632.27231.47123.13921.09022.3093
C52.09562.27231.31631.47123.13922.30931.0902
H61.08962.15122.15123.13923.13924.15564.1556
H73.15222.11583.32341.09022.30934.15562.8168
H83.15223.32342.11582.30931.09024.15562.8168

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 102.552 C1 N3 C5 102.552
N2 C1 N3 116.733 N2 C1 H6 121.633
N2 C4 C5 109.081 N2 C4 H7 122.813
N3 C1 H6 121.633 N3 C5 C4 109.081
N3 C5 H8 122.813 C4 C5 H8 128.105
C5 C4 H7 128.105
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.202      
2 N -0.233      
3 N -0.233      
4 C 0.068      
5 C 0.068      
6 H 0.050      
7 H 0.039      
8 H 0.039      


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 -1.583 1.583
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.873 0.000 0.000
y 0.000 -33.648 0.000
z 0.000 0.000 -22.185
Traceless
 xyz
x -0.957 0.000 0.000
y 0.000 -8.118 0.000
z 0.000 0.000 9.075
Polar
3z2-r218.150
x2-y24.774
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.871 0.000 0.000
y 0.000 5.903 0.000
z 0.000 0.000 7.385


<r2> (average value of r2) Å2
<r2> 76.058
(<r2>)1/2 8.721