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All results from a given calculation for C4H6N2 (1H-Imidazole, 2-methyl-)

using model chemistry: mPW1PW91/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at mPW1PW91/6-31+G**
 hartrees
Energy at 0K-265.494762
Energy at 298.15K-265.502533
Nuclear repulsion energy225.367819
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 mPW1PW91/6-31+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 A 3713 3534 55.01      
2 A 3320 3160 1.80      
3 A 3290 3132 4.69      
4 A 3193 3039 2.44      
5 A 3129 2978 14.71      
6 A 3066 2918 31.15      
7 A 1627 1549 41.58      
8 A 1545 1470 7.10      
9 A 1514 1441 6.40      
10 A 1491 1419 10.15      
11 A 1461 1391 44.38      
12 A 1433 1364 0.43      
13 A 1408 1340 0.78      
14 A 1294 1231 15.33      
15 A 1213 1154 4.23      
16 A 1149 1094 6.04      
17 A 1119 1065 30.27      
18 A 1063 1012 1.18      
19 A 1015 966 7.67      
20 A 975 928 2.12      
21 A 932 887 2.61      
22 A 874 832 10.51      
23 A 735 699 63.43      
24 A 693 660 4.66      
25 A 688 655 0.67      
26 A 644 613 14.86      
27 A 534 508 74.92      
28 A 351 334 5.64      
29 A 253 241 6.94      
30 A 69 66 0.29      

Unscaled Zero Point Vibrational Energy (zpe) 21895.1 cm-1
Scaled (by 0.9518) Zero Point Vibrational Energy (zpe) 20839.8 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 mPW1PW91/6-31+G**
ABC
0.29864 0.12064 0.08733

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31+G**

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.106 -0.024 0.000
H2 2.498 0.486 0.886
H3 2.479 -1.047 0.000
H4 2.499 0.486 -0.885
N5 -0.167 1.048 0.000
H6 0.157 2.001 -0.002
C7 0.619 -0.068 -0.000
N8 -0.120 -1.157 -0.000
C9 -1.424 -0.728 -0.000
H10 -2.246 -1.427 0.000
C11 -1.481 0.640 0.000
H12 -2.303 1.337 -0.001

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.09451.08941.09462.51292.81051.48802.49743.59924.57293.64764.6141
H21.09451.77061.77092.86412.92712.15073.21524.20005.19194.07944.9561
H31.08941.77061.77053.37513.83212.10232.60103.91574.74064.30415.3433
H41.09461.77091.77052.86492.92612.15083.21544.20045.19244.08014.9565
N52.51292.86413.37512.86491.00621.36502.20522.17563.23261.37602.1556
H62.81052.92713.83212.92611.00622.12013.16963.15334.18612.12952.5477
C71.48802.15072.10232.15081.36502.12011.31522.14623.17082.21553.2419
N82.49743.21522.60103.21542.20523.16961.31521.37272.14382.25363.3142
C93.59924.20003.91574.20042.17563.15332.14621.37271.07961.36842.2440
H104.57295.19194.74065.19243.23264.18613.17082.14381.07962.20362.7642
C113.64764.07944.30414.08011.37602.12952.21552.25361.36842.20361.0781
H124.61414.95615.34334.95652.15562.54773.24193.31422.24402.76421.0781

picture of 1H-Imidazole, 2-methyl- state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C7 N5 123.419 C1 C7 N8 125.865
H2 C1 H3 108.338 H2 C1 H4 107.996
H2 C1 C7 111.869 H3 C1 H4 108.328
H3 C1 C7 108.312 H4 C1 C7 111.883
N5 C7 N8 110.716 N5 C11 C9 104.882
N5 C11 H12 122.425 H6 N5 C7 126.116
H6 N5 C11 126.027 C7 N5 C11 107.857
C7 N8 C9 105.946 N8 C9 H10 121.441
N8 C9 C11 110.599 C9 C11 H12 132.693
H10 C9 C11 127.960
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.835      
2 H 0.182      
3 H 0.210      
4 H 0.181      
5 N -0.366      
6 H 0.323      
7 C 0.380      
8 N -0.265      
9 C -0.051      
10 H 0.155      
11 C -0.084      
12 H 0.171      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.599 3.712 -0.005 3.760
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.599 0.668 0.001
y 0.668 -34.411 -0.013
z 0.001 -0.013 -38.423
Traceless
 xyz
x 5.818 0.668 0.001
y 0.668 0.099 -0.013
z 0.001 -0.013 -5.918
Polar
3z2-r2-11.835
x2-y23.813
xy0.668
xz0.001
yz-0.013


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> 138.741
(<r2>)1/2 11.779