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

using model chemistry: B3LYP/cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B3LYP/cc-pVTZ
 hartrees
Energy at 0K-265.637480
Energy at 298.15K-265.645264
Nuclear repulsion energy225.330482
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 B3LYP/cc-pVTZ
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 3651 3529 43.21      
2 A 3270 3161 3.10      
3 A 3240 3132 5.02      
4 A 3136 3031 3.88      
5 A 3066 2964 18.91      
6 A 3024 2923 31.35      
7 A 1594 1541 36.60      
8 A 1518 1467 3.60      
9 A 1494 1444 4.21      
10 A 1487 1437 6.76      
11 A 1439 1391 38.31      
12 A 1418 1371 0.19      
13 A 1385 1339 1.81      
14 A 1275 1232 14.70      
15 A 1177 1137 5.36      
16 A 1138 1100 1.51      
17 A 1097 1061 25.37      
18 A 1066 1031 0.90      
19 A 1009 976 10.50      
20 A 968 936 2.44      
21 A 932 901 2.73      
22 A 872 843 8.04      
23 A 734 709 45.44      
24 A 695 672 6.21      
25 A 679 656 0.90      
26 A 646 625 9.75      
27 A 523 506 66.49      
28 A 349 337 5.05      
29 A 253 245 5.92      
30 A 76 73 0.25      

Unscaled Zero Point Vibrational Energy (zpe) 21604.8 cm-1
Scaled (by 0.9666) Zero Point Vibrational Energy (zpe) 20883.2 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 B3LYP/cc-pVTZ
ABC
0.29941 0.12032 0.08722

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/cc-pVTZ

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.109 -0.025 0.000
H2 2.499 0.487 0.883
H3 2.486 -1.044 0.000
H4 2.500 0.487 -0.882
N5 -0.167 1.049 0.000
H6 0.154 2.001 -0.002
C7 0.620 -0.069 -0.000
N8 -0.120 -1.155 -0.000
C9 -1.427 -0.726 -0.000
H10 -2.248 -1.423 0.000
C11 -1.482 0.637 0.000
H12 -2.302 1.333 -0.000

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.09241.08671.09252.51592.81501.48982.49893.60474.57553.65184.6151
H21.09241.76751.76482.86382.92812.14993.21504.20325.19254.08134.9547
H31.08671.76751.76753.37833.83492.10492.60763.92534.74844.30945.3451
H41.09251.76481.76752.86422.92712.15003.21514.20345.19284.08154.9549
N52.51592.86383.37832.86421.00481.36692.20402.17643.23061.37852.1543
H62.81502.92813.83492.92711.00482.12203.16763.15184.18182.13002.5454
C71.48982.14992.10492.15001.36692.12201.31342.14943.17082.21783.2410
N82.49893.21502.60763.21512.20403.16761.31341.37582.14482.25153.3093
C93.60474.20323.92534.20342.17643.15182.14941.37581.07661.36432.2369
H104.57555.19254.74845.19283.23064.18183.17082.14481.07662.19742.7557
C113.65184.08134.30944.08151.37852.13002.21782.25151.36432.19741.0750
H124.61514.95475.34514.95492.15432.54543.24103.30932.23692.75571.0750

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 123.399 C1 C7 N8 125.991
H2 C1 H3 108.405 H2 C1 H4 107.751
H2 C1 C7 111.810 H3 C1 H4 108.401
H3 C1 C7 108.552 H4 C1 C7 111.816
N5 C7 N8 110.610 N5 C11 C9 105.024
N5 C11 H12 122.334 H6 N5 C7 126.266
H6 N5 C11 125.965 C7 N5 C11 107.768
C7 N8 C9 106.092 N8 C9 H10 121.508
N8 C9 C11 110.506 C9 C11 H12 132.642
H10 C9 C11 127.986
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.301     -0.454
2 H 0.099     0.107
3 H 0.121     0.149
4 H 0.099     0.107
5 N -0.075     -0.273
6 H 0.150     0.300
7 C 0.111     0.576
8 N -0.210     -0.586
9 C -0.091     0.112
10 H 0.114     0.109
11 C -0.140     -0.355
12 H 0.122     0.207


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.560 3.512 -0.003 3.557
CHELPG        
AIM        
ESP 0.536 3.475 -0.003 3.516


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.162 0.568 -0.001
y 0.568 -34.406 -0.008
z -0.001 -0.008 -37.942
Traceless
 xyz
x 5.013 0.568 -0.001
y 0.568 0.146 -0.008
z -0.001 -0.008 -5.159
Polar
3z2-r2-10.318
x2-y23.244
xy0.568
xz-0.001
yz-0.008


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.909 0.042 -0.010
y 0.042 8.827 0.003
z -0.010 0.003 5.502


<r2> (average value of r2) Å2
<r2> 138.874
(<r2>)1/2 11.785