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

using model chemistry: B2PLYP/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 B2PLYP/6-31G*
 hartrees
Energy at 0K-265.246184
Energy at 298.15K-265.253894
HF Energy-264.967770
Nuclear repulsion energy224.612527
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 B2PLYP/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 3668 3481 44.53      
2 A 3320 3152 3.73      
3 A 3291 3124 6.46      
4 A 3197 3034 4.17      
5 A 3133 2974 20.29      
6 A 3077 2921 29.82      
7 A 1613 1531 34.69      
8 A 1553 1475 0.89      
9 A 1534 1456 7.66      
10 A 1532 1454 4.37      
11 A 1471 1396 42.02      
12 A 1457 1383 0.55      
13 A 1416 1344 1.21      
14 A 1298 1232 15.50      
15 A 1203 1142 4.30      
16 A 1150 1091 2.16      
17 A 1121 1064 24.11      
18 A 1087 1031 1.30      
19 A 1021 969 9.86      
20 A 982 932 1.45      
21 A 931 884 3.13      
22 A 839 796 13.56      
23 A 716 680 30.04      
24 A 684 649 6.18      
25 A 683 649 1.91      
26 A 640 608 20.28      
27 A 497 471 77.83      
28 A 348 330 5.13      
29 A 250 237 6.03      
30 A 79 75 0.26      

Unscaled Zero Point Vibrational Energy (zpe) 21894.5 cm-1
Scaled (by 0.9492) Zero Point Vibrational Energy (zpe) 20782.2 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 B2PLYP/6-31G*
ABC
0.29630 0.11988 0.08674

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/6-31G*

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.082 -0.033 0.002
H2 2.471 0.146 1.007
H3 2.457 -0.991 -0.350
H4 2.460 0.756 -0.656
N5 -0.170 1.026 -0.001
H6 0.145 1.957 -0.001
C7 0.610 -0.056 -0.001
N8 -0.136 -1.133 -0.002
C9 -1.402 -0.722 0.002
H10 -2.232 -1.360 0.002
C11 -1.439 0.641 0.001
H12 -2.273 1.270 0.003

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.09281.08731.09432.48842.77731.47212.47583.55224.51383.58554.5467
H21.09281.77101.77142.96023.11542.12573.07414.09505.03964.06774.9782
H31.08731.77101.77363.33013.76292.09912.62003.88484.71674.23905.2553
H41.09431.77141.77362.72312.68892.12353.27604.18735.18883.95574.8066
N52.48842.96023.33012.72310.98261.33402.15902.13903.15381.32682.1181
H62.77733.11543.76292.68890.98262.06633.10243.09374.08062.05932.5138
C71.47212.12572.09912.12351.33402.06631.30992.12013.12712.16503.1745
N82.47583.07412.62003.27602.15903.10241.30991.33162.10852.20143.2166
C93.55224.09503.88484.18732.13903.09372.12011.33161.04651.36372.1747
H104.51385.03964.71675.18883.15384.08063.12712.10851.04652.15252.6310
C113.58554.06774.23903.95571.32682.05932.16502.20141.36372.15251.0451
H124.54674.97825.25534.80662.11812.51383.17453.21662.17472.63101.0451

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 124.873 C1 C7 N8 125.632
H2 C1 H3 108.652 H2 C1 H4 108.179
H2 C1 C7 111.082 H3 C1 H4 108.774
H3 C1 C7 109.279 H4 C1 C7 110.814
N5 C7 N8 109.495 N5 C11 C9 105.311
N5 C11 H12 126.106 H6 N5 C7 125.561
H6 N5 C11 125.519 C7 N5 C11 108.919
C7 N8 C9 106.758 N8 C9 H10 124.467
N8 C9 C11 109.516 C9 C11 H12 128.583
H10 C9 C11 126.016
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.539      
2 H 0.170      
3 H 0.204      
4 H 0.170      
5 N -0.658      
6 H 0.358      
7 C 0.501      
8 N -0.505      
9 C -0.042      
10 H 0.160      
11 C 0.004      
12 H 0.177      


Electric dipole moments


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.646 0.139 -0.000
y 0.139 7.858 -0.001
z -0.000 -0.001 3.999


<r2> (average value of r2) Å2
<r2> 139.126
(<r2>)1/2 11.795