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

using model chemistry: B2PLYP/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 B2PLYP/cc-pVTZ
 hartrees
Energy at 0K-265.410344
Energy at 298.15K-265.418118
HF Energy-265.064164
Nuclear repulsion energy225.306632
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/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 3672 3523 49.31      
2 A 3295 3161 2.47      
3 A 3267 3134 4.49      
4 A 3165 3037 3.40      
5 A 3103 2977 16.95      
6 A 3051 2927 29.47      
7 A 1593 1528 34.96      
8 A 1524 1463 2.07      
9 A 1506 1445 4.44      
10 A 1499 1439 6.86      
11 A 1446 1388 38.11      
12 A 1425 1367 0.31      
13 A 1392 1335 1.41      
14 A 1282 1230 14.06      
15 A 1183 1135 5.19      
16 A 1138 1091 1.82      
17 A 1104 1059 24.71      
18 A 1072 1029 0.64      
19 A 1010 969 10.46      
20 A 971 932 1.96      
21 A 930 893 2.85      
22 A 870 834 9.37      
23 A 735 705 47.17      
24 A 693 665 4.58      
25 A 681 654 0.99      
26 A 648 621 11.16      
27 A 521 500 66.21      
28 A 347 333 5.00      
29 A 253 243 6.04      
30 A 69 66 0.27      

Unscaled Zero Point Vibrational Energy (zpe) 21722.8 cm-1
Scaled (by 0.9594) Zero Point Vibrational Energy (zpe) 20840.8 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 B2PLYP/cc-pVTZ
ABC
0.29869 0.12047 0.08724

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/cc-pVTZ

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.107 -0.024 0.000
H2 2.495 0.486 0.882
H3 2.481 -1.043 -0.001
H4 2.495 0.488 -0.881
N5 -0.165 1.049 0.000
H6 0.157 1.999 -0.001
C7 0.620 -0.070 -0.000
N8 -0.120 -1.158 -0.000
C9 -1.427 -0.725 0.000
H10 -2.247 -1.420 0.000
C11 -1.481 0.639 -0.000
H12 -2.298 1.336 0.000

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.09051.08551.09052.51242.80981.48762.49873.60234.57223.64874.6097
H21.09051.76591.76342.85842.92142.14563.21234.19825.18644.07574.9467
H31.08551.76591.76593.37303.82832.10032.60333.92054.74324.30465.3382
H41.09051.76341.76592.85792.91982.14563.21304.19855.18704.07544.9462
N52.51242.85843.37302.85791.00381.36652.20752.17693.22941.37822.1518
H62.80982.92143.82832.91981.00382.12023.16983.15174.18002.12932.5427
C71.48762.14562.10032.14561.36652.12021.31602.14893.16902.21743.2386
N82.49873.21232.60333.21302.20753.16981.31601.37682.14352.25513.3117
C93.60234.19823.92054.19852.17693.15172.14891.37681.07501.36592.2383
H104.57225.18644.74325.18703.22944.18003.16902.14351.07502.19722.7568
C113.64874.07574.30464.07541.37822.12932.21742.25511.36592.19721.0735
H124.60974.94675.33824.94622.15182.54273.23863.31172.23832.75681.0735

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 123.300 C1 C7 N8 125.951
H2 C1 H3 108.490 H2 C1 H4 107.898
H2 C1 C7 111.727 H3 C1 H4 108.492
H3 C1 C7 108.409 H4 C1 C7 111.729
N5 C7 N8 110.749 N5 C11 C9 104.990
N5 C11 H12 122.232 H6 N5 C7 126.208
H6 N5 C11 126.009 C7 N5 C11 107.783
C7 N8 C9 105.863 N8 C9 H10 121.430
N8 C9 C11 110.615 C9 C11 H12 132.778
H10 C9 C11 127.955
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.303      
2 H 0.103      
3 H 0.128      
4 H 0.103      
5 N -0.104      
6 H 0.170      
7 C 0.126      
8 N -0.239      
9 C -0.104      
10 H 0.138      
11 C -0.166      
12 H 0.148      


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 10.773 0.045 0.000
y 0.045 8.750 0.000
z 0.000 0.000 5.439


<r2> (average value of r2) Å2
<r2> 138.782
(<r2>)1/2 11.781