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

using model chemistry: mPW1PW91/6-311G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at mPW1PW91/6-311G**
 hartrees
Energy at 0K-265.542547
Energy at 298.15K-265.550379
Nuclear repulsion energy225.766277
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 mPW1PW91/6-311G**
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 3698 3538 51.39      
2 A 3297 3155 2.73      
3 A 3265 3124 5.89      
4 A 3175 3037 3.63      
5 A 3109 2974 18.62      
6 A 3052 2920 30.84      
7 A 1624 1554 43.60      
8 A 1539 1473 4.50      
9 A 1510 1445 5.31      
10 A 1486 1421 9.26      
11 A 1456 1393 40.78      
12 A 1427 1365 0.54      
13 A 1400 1339 0.52      
14 A 1290 1234 14.91      
15 A 1205 1153 3.96      
16 A 1146 1096 4.20      
17 A 1115 1067 30.06      
18 A 1063 1017 1.51      
19 A 1015 971 9.22      
20 A 974 932 1.93      
21 A 936 896 2.87      
22 A 877 839 9.58      
23 A 740 708 49.16      
24 A 700 670 4.89      
25 A 689 659 1.01      
26 A 652 623 14.25      
27 A 549 525 72.10      
28 A 349 334 5.36      
29 A 255 244 6.21      
30 A 80 77 0.19      

Unscaled Zero Point Vibrational Energy (zpe) 21836.4 cm-1
Scaled (by 0.9567) Zero Point Vibrational Energy (zpe) 20890.9 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 mPW1PW91/6-311G**
ABC
0.29975 0.12105 0.08764

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-311G**

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -2.103 -0.023 0.000
H2 -2.494 0.489 -0.884
H3 -2.474 -1.045 -0.002
H4 -2.495 0.486 0.885
N5 0.168 1.047 -0.000
H6 -0.152 1.999 0.001
C7 -0.617 -0.068 0.000
N8 0.118 -1.154 -0.000
C9 1.420 -0.727 0.000
H10 2.241 -1.426 0.000
C11 1.479 0.637 -0.000
H12 2.301 1.332 0.000

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.09361.08801.09362.50982.80981.48662.49193.59254.56493.64194.6075
H21.09361.76971.76872.85962.92402.14843.20964.19305.18394.07284.9483
H31.08801.76971.76973.37023.82942.09912.59453.90774.73114.29655.3346
H41.09361.76871.76972.86112.92572.14853.20884.19265.18334.07384.9493
N52.50982.85963.37022.86111.00481.36322.20142.17123.22721.37392.1523
H62.80982.92403.82942.92571.00482.11903.16493.14704.17882.12542.5421
C71.48662.14842.09912.14851.36322.11901.31112.14083.16432.21113.2364
N82.49193.20962.59453.20882.20143.16491.31111.37082.14092.24943.3088
C93.59254.19303.90774.19262.17123.14702.14081.37081.07861.36472.2395
H104.56495.18394.73115.18333.22724.17883.16432.14091.07862.19922.7590
C113.64194.07284.29654.07381.37392.12542.21112.24941.36472.19921.0767
H124.60754.94835.33464.94932.15232.54213.23643.30882.23952.75901.0767

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 123.395 C1 C7 N8 125.812
H2 C1 H3 108.432 H2 C1 H4 107.937
H2 C1 C7 111.844 H3 C1 H4 108.429
H3 C1 C7 108.243 H4 C1 C7 111.851
N5 C7 N8 110.793 N5 C11 C9 104.895
N5 C11 H12 122.395 H6 N5 C7 126.311
H6 N5 C11 125.920 C7 N5 C11 107.768
C7 N8 C9 105.911 N8 C9 H10 121.414
N8 C9 C11 110.632 C9 C11 H12 132.710
H10 C9 C11 127.954
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.309      
2 H 0.135      
3 H 0.156      
4 H 0.135      
5 N -0.396      
6 H 0.232      
7 C 0.259      
8 N -0.349      
9 C -0.088      
10 H 0.103      
11 C 0.009      
12 H 0.112      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.548 3.598 0.002 3.639
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.488 -0.570 0.001
y -0.570 -33.750 0.004
z 0.001 0.004 -37.727
Traceless
 xyz
x 5.250 -0.570 0.001
y -0.570 0.358 0.004
z 0.001 0.004 -5.608
Polar
3z2-r2-11.215
x2-y23.261
xy-0.570
xz0.001
yz0.004


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.237 -0.079 -0.001
y -0.079 8.271 -0.000
z -0.001 -0.000 4.819


<r2> (average value of r2) Å2
<r2> 138.029
(<r2>)1/2 11.749