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

using model chemistry: mPW1PW91/6-31G(2df,p)

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(2df,p)
 hartrees
Energy at 0K-265.498035
Energy at 298.15K-265.505863
Nuclear repulsion energy225.811512
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(2df,p)
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 3713 3545 50.35      
2 A 3308 3158 2.64      
3 A 3275 3127 5.42      
4 A 3185 3041 2.65      
5 A 3119 2978 14.87      
6 A 3057 2919 28.25      
7 A 1622 1549 40.60      
8 A 1543 1473 4.03      
9 A 1511 1442 6.24      
10 A 1485 1418 7.06      
11 A 1458 1391 35.47      
12 A 1428 1363 0.07      
13 A 1401 1337 1.20      
14 A 1290 1232 13.41      
15 A 1208 1154 2.42      
16 A 1150 1098 3.32      
17 A 1119 1068 27.44      
18 A 1063 1014 1.82      
19 A 1013 968 8.75      
20 A 974 930 0.91      
21 A 932 890 3.27      
22 A 870 831 9.16      
23 A 742 708 34.42      
24 A 703 671 3.80      
25 A 689 658 1.20      
26 A 652 622 14.42      
27 A 541 517 65.16      
28 A 346 330 5.11      
29 A 258 246 5.39      
30 A 89 85 0.26      

Unscaled Zero Point Vibrational Energy (zpe) 21871.3 cm-1
Scaled (by 0.9547) Zero Point Vibrational Energy (zpe) 20880.6 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(2df,p)
ABC
0.29961 0.12118 0.08769

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G(2df,p)

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.101 -0.024 0.000
H2 2.495 0.487 0.884
H3 2.476 -1.046 -0.001
H4 2.495 0.489 -0.883
N5 -0.165 1.046 0.000
H6 0.158 1.996 -0.001
C7 0.616 -0.070 -0.000
N8 -0.121 -1.156 -0.000
C9 -1.422 -0.724 0.000
H10 -2.245 -1.421 0.000
C11 -1.476 0.639 0.000
H12 -2.293 1.341 0.000

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.09451.08921.09452.50612.80281.48652.49393.59204.56563.63844.6011
H21.09451.77101.76752.85822.91892.15033.21304.19395.18574.07104.9427
H31.08921.77101.77103.36973.82502.10162.59933.91164.73654.29705.3333
H41.09451.76751.77102.85762.91722.15043.21374.19435.18624.07084.9423
N52.50612.85823.36972.85761.00371.36152.20232.17033.22641.37252.1479
H62.80282.91893.82502.91721.00372.11573.16443.14524.17722.12372.5365
C71.48652.15032.10162.15041.36152.11571.31242.13983.16382.20863.2324
N82.49393.21302.59933.21372.20233.16441.31241.37122.14112.24973.3098
C93.59204.19393.91164.19432.17033.14522.13981.37121.07881.36422.2411
H104.56565.18574.73655.18623.22644.17723.16382.14111.07882.19902.7623
C113.63844.07104.29704.07081.37252.12372.20862.24971.36422.19901.0767
H124.60114.94275.33334.94232.14792.53653.23243.30982.24112.76231.0767

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 123.219 C1 C7 N8 125.891
H2 C1 H3 108.383 H2 C1 H4 107.686
H2 C1 C7 111.950 H3 C1 H4 108.384
H3 C1 C7 108.372 H4 C1 C7 111.952
N5 C7 N8 110.889 N5 C11 C9 104.940
N5 C11 H12 122.101 H6 N5 C7 126.231
H6 N5 C11 125.999 C7 N5 C11 107.770
C7 N8 C9 105.739 N8 C9 H10 121.379
N8 C9 C11 110.662 C9 C11 H12 132.960
H10 C9 C11 127.959
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.561      
2 H 0.156      
3 H 0.186      
4 H 0.156      
5 N -0.322      
6 H 0.286      
7 C 0.367      
8 N -0.322      
9 C -0.105      
10 H 0.133      
11 C -0.126      
12 H 0.151      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.535 3.496 -0.001 3.536
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.193 0.515 -0.001
y 0.515 -33.130 -0.002
z -0.001 -0.002 -36.916
Traceless
 xyz
x 4.830 0.515 -0.001
y 0.515 0.424 -0.002
z -0.001 -0.002 -5.254
Polar
3z2-r2-10.509
x2-y22.938
xy0.515
xz-0.001
yz-0.002


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.095 0.107 0.000
y 0.107 8.065 -0.000
z 0.000 -0.000 4.550


<r2> (average value of r2) Å2
<r2> 137.609
(<r2>)1/2 11.731