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

using model chemistry: mPW1PW91/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at mPW1PW91/6-31G*
 hartrees
Energy at 0K-265.473796
Energy at 298.15K-265.481572
Nuclear repulsion energy225.448467
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 mPW1PW91/6-31G*
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 3697 3506 44.91      
2 A 3324 3152 3.40      
3 A 3292 3122 7.54      
4 A 3198 3033 3.17      
5 A 3131 2969 18.16      
6 A 3072 2914 31.13      
7 A 1636 1551 39.57      
8 A 1557 1476 4.50      
9 A 1532 1452 2.67      
10 A 1517 1438 8.95      
11 A 1479 1402 43.26      
12 A 1449 1374 0.26      
13 A 1424 1351 1.12      
14 A 1304 1236 14.88      
15 A 1219 1156 2.89      
16 A 1156 1096 4.64      
17 A 1127 1068 27.52      
18 A 1076 1021 2.33      
19 A 1022 969 8.39      
20 A 983 932 1.16      
21 A 934 886 3.03      
22 A 864 819 10.37      
23 A 732 694 38.58      
24 A 697 661 5.54      
25 A 689 653 1.28      
26 A 650 616 16.49      
27 A 525 498 80.56      
28 A 348 330 5.34      
29 A 254 241 6.26      
30 A 83 79 0.23      

Unscaled Zero Point Vibrational Energy (zpe) 21984.8 cm-1
Scaled (by 0.9483) Zero Point Vibrational Energy (zpe) 20848.2 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 mPW1PW91/6-31G*
ABC
0.29860 0.12079 0.08741

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

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.105 -0.022 0.000
H2 2.500 0.487 0.886
H3 2.479 -1.046 -0.001
H4 2.500 0.489 -0.884
N5 -0.168 1.048 0.000
H6 0.155 2.002 -0.001
C7 0.617 -0.068 -0.000
N8 -0.119 -1.158 -0.000
C9 -1.421 -0.727 0.000
H10 -2.244 -1.428 0.000
C11 -1.481 0.639 0.000
H12 -2.301 1.338 -0.001

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.09551.09011.09552.51232.81091.48882.49683.59594.57023.64594.6116
H21.09551.77151.77022.86682.92972.15423.21704.19955.19194.08104.9564
H31.09011.77151.77153.37503.83312.10312.59983.91294.73784.30295.3418
H41.09551.77021.77152.86632.92782.15423.21784.20015.19284.08094.9558
N52.51232.86683.37502.86631.00701.36452.20592.17273.23061.37482.1530
H62.81092.92973.83312.92781.00702.12113.17113.15114.18482.12882.5440
C71.48882.15422.10312.15421.36452.12111.31442.14183.16722.21343.2395
N82.49683.21702.59983.21782.20593.17111.31441.37162.14212.25403.3154
C93.59594.19953.91294.20012.17273.15112.14181.37161.08051.36702.2450
H104.57025.19194.73785.19283.23064.18483.16722.14211.08052.20272.7664
C113.64594.08104.30294.08091.37482.12882.21342.25401.36702.20271.0785
H124.61164.95645.34184.95582.15302.54403.23953.31542.24502.76641.0785

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 123.344 C1 C7 N8 125.806
H2 C1 H3 108.295 H2 C1 H4 107.780
H2 C1 C7 112.033 H3 C1 H4 108.294
H3 C1 C7 108.278 H4 C1 C7 112.036
N5 C7 N8 110.850 N5 C11 C9 104.825
N5 C11 H12 122.246 H6 N5 C7 126.200
H6 N5 C11 126.000 C7 N5 C11 107.799
C7 N8 C9 105.746 N8 C9 H10 121.293
N8 C9 C11 110.780 C9 C11 H12 132.929
H10 C9 C11 127.927
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.604      
2 H 0.188      
3 H 0.221      
4 H 0.187      
5 N -0.631      
6 H 0.354      
7 C 0.490      
8 N -0.481      
9 C -0.067      
10 H 0.167      
11 C -0.009      
12 H 0.184      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.498 3.605 -0.002 3.639
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.022 0.521 0.001
y 0.521 -33.233 -0.006
z 0.001 -0.006 -37.278
Traceless
 xyz
x 5.233 0.521 0.001
y 0.521 0.417 -0.006
z 0.001 -0.006 -5.650
Polar
3z2-r2-11.300
x2-y23.211
xy0.521
xz0.001
yz-0.006


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> 138.057
(<r2>)1/2 11.750